Question 11.1 Using the crime data set uscrime.txt from Questions 8.2, 9.1, and 10.1, build a regression model using: 1. Stepwise regression 2. Lasso 3. Elastic net .For Parts 2 and 3, remember to scale the data first – otherwise, the regression coefficients will be on different scales and the constraint won’t have the desired effect. For Parts 2 and 3, use the glmnet function in R.

First, I scaled the data. Then I split the data into 70% of training data and 30% of testing data. I choose 10-fold cross-validation on all three models. Out of the three models, the Lasso model has the best R-squared value for me.

#clear environment
rm(list = ls())

set.seed(1)


library(glmnet)
## Loading required package: Matrix
## Loaded glmnet 4.0
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(caret)
## Loading required package: lattice
## Loading required package: ggplot2
# Import data
uscrime <- read.table('uscrime.txt', stringsAsFactors = FALSE, header = TRUE)

head(uscrime)
##      M So   Ed  Po1  Po2    LF   M.F Pop   NW    U1  U2 Wealth Ineq     Prob
## 1 15.1  1  9.1  5.8  5.6 0.510  95.0  33 30.1 0.108 4.1   3940 26.1 0.084602
## 2 14.3  0 11.3 10.3  9.5 0.583 101.2  13 10.2 0.096 3.6   5570 19.4 0.029599
## 3 14.2  1  8.9  4.5  4.4 0.533  96.9  18 21.9 0.094 3.3   3180 25.0 0.083401
## 4 13.6  0 12.1 14.9 14.1 0.577  99.4 157  8.0 0.102 3.9   6730 16.7 0.015801
## 5 14.1  0 12.1 10.9 10.1 0.591  98.5  18  3.0 0.091 2.0   5780 17.4 0.041399
## 6 12.1  0 11.0 11.8 11.5 0.547  96.4  25  4.4 0.084 2.9   6890 12.6 0.034201
##      Time Crime
## 1 26.2011   791
## 2 25.2999  1635
## 3 24.3006   578
## 4 29.9012  1969
## 5 21.2998  1234
## 6 20.9995   682
#First, I scaled all the uncategorical date. Then I will add the second column back into the dataset.
scaled_uscrime = as.data.frame(scale(uscrime[,c(1,3:15)]))
scaled_uscrime <- cbind(uscrime[,2],scaled_uscrime,uscrime[,16]) 
colnames(scaled_uscrime)[1] <- "So"
colnames(scaled_uscrime)[16] <- "Crime"

#Split the data into 70% training and 30% testing
train_ds <- uscrime$Crime %>% createDataPartition(p=0.7, list = F)

train_d <- uscrime[train_ds, ]
test_d <- uscrime[-train_ds, ]

#Predictor variables
x <- model.matrix(Crime~., train_d) [,-1]

#Outcome variable
y <- train_d$Crime

#Build a model

stepwise_model <- train(Crime ~ ., data = scaled_uscrime, "lmStepAIC", scope = 
                 list(lower = Crime~1, upper = Crime~.), direction = "backward",trControl= trainControl(method = "repeatedcv", number = 10, repeats = 10))
## Start:  AIC=463.67
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1         6 1221389 461.67
## - LF      1      8839 1230222 461.97
## - Pop     1     14757 1236141 462.17
## - Time    1     24144 1245527 462.49
## - M.F     1     29690 1251073 462.68
## - Po2     1     35079 1256462 462.86
## - NW      1     37443 1258826 462.94
## - Wealth  1     55700 1277084 463.54
## <none>                1221383 463.67
## - M       1     69135 1290518 463.98
## - U1      1     73985 1295368 464.14
## - Po1     1    116806 1338190 465.50
## - U2      1    129218 1350602 465.89
## - Prob    1    201309 1422693 468.08
## - Ed      1    269092 1490476 470.03
## - Ineq    1    344727 1566111 472.11
## 
## Step:  AIC=461.67
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11091 1232480 460.05
## - Pop     1     14776 1236165 460.17
## - Time    1     24436 1245825 460.50
## - M.F     1     30315 1251704 460.70
## - Po2     1     35189 1256578 460.86
## - NW      1     43666 1265055 461.14
## - Wealth  1     58075 1279464 461.62
## <none>                1221389 461.67
## - M       1     69737 1291126 462.00
## - U1      1     85382 1306771 462.51
## - Po1     1    116870 1338259 463.51
## - U2      1    135184 1356573 464.08
## - Prob    1    205286 1426675 466.19
## - Ed      1    270147 1491536 468.06
## - Ineq    1    386178 1607567 471.21
## 
## Step:  AIC=460.05
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     16673 1249153 458.61
## - M.F     1     19722 1252202 458.72
## - Time    1     25255 1257735 458.90
## - Po2     1     27580 1260060 458.98
## - NW      1     38834 1271314 459.35
## - Wealth  1     58435 1290915 459.99
## <none>                1232480 460.05
## - U1      1     74395 1306875 460.51
## - M       1     84868 1317348 460.85
## - Po1     1    107086 1339566 461.55
## - U2      1    139867 1372347 462.56
## - Prob    1    194328 1426808 464.20
## - Ed      1    259702 1492182 466.08
## - Ineq    1    394889 1627369 469.72
## 
## Step:  AIC=458.61
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     24196 1273350 457.42
## - M.F     1     40151 1289305 457.94
## - NW      1     45276 1294429 458.11
## - Time    1     53527 1302680 458.38
## <none>                1249153 458.61
## - Wealth  1     66467 1315620 458.79
## - U1      1     74407 1323561 459.04
## - Po1     1     95370 1344523 459.70
## - M       1     96393 1345547 459.73
## - U2      1    138584 1387738 461.03
## - Prob    1    185443 1434596 462.43
## - Ed      1    325509 1574662 466.34
## - Ineq    1    435195 1684348 469.17
## 
## Step:  AIC=457.42
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     35632 1308982 456.58
## - Time    1     37357 1310707 456.63
## - M.F     1     57711 1331061 457.28
## <none>                1273350 457.42
## - Wealth  1     68921 1342271 457.63
## - U1      1     70880 1344229 457.69
## - M       1     91289 1364639 458.33
## - U2      1    131737 1405087 459.55
## - Prob    1    164656 1438006 460.53
## - Ed      1    307920 1581269 464.51
## - Ineq    1    465974 1739324 468.52
## - Po1     1    561871 1835221 470.77
## 
## Step:  AIC=456.58
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     19580 1328561 455.20
## - Wealth  1     49210 1358192 456.13
## - M.F     1     52177 1361159 456.22
## <none>                1308982 456.58
## - U1      1     82755 1391737 457.15
## - Prob    1    132475 1441457 458.63
## - U2      1    167223 1476204 459.63
## - M       1    185734 1494716 460.15
## - Ed      1    304795 1613777 463.37
## - Ineq    1    505077 1814059 468.28
## - Po1     1    943683 2252665 477.38
## 
## Step:  AIC=455.2
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     39618 1368179 454.44
## <none>                1328561 455.20
## - U1      1     82234 1410796 455.72
## - M.F     1     90382 1418943 455.97
## - Prob    1    115636 1444198 456.71
## - U2      1    165589 1494151 458.13
## - M       1    172760 1501321 458.34
## - Ed      1    323131 1651692 462.34
## - Ineq    1    485506 1814067 466.28
## - Po1     1    954582 2283144 475.94
## 
## Step:  AIC=454.44
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1368179 454.44
## - M.F   1    119619 1487799 455.96
## - U1    1    124456 1492635 456.09
## - M     1    155769 1523948 456.96
## - Prob  1    178258 1546437 457.58
## - U2    1    232585 1600764 459.03
## - Ed    1    361979 1730159 462.29
## - Ineq  1    529639 1897818 466.18
## - Po1   1   1345524 2713704 481.20
## Start:  AIC=447.71
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1311  836605 445.78
## - Pop     1      3206  838501 445.87
## - Wealth  1     16647  851941 446.54
## - So      1     28653  863947 447.13
## <none>                 835294 447.71
## - U2      1     49801  885095 448.14
## - Po2     1     51109  886403 448.20
## - NW      1     66801  902095 448.94
## - Prob    1     72311  907605 449.20
## - M       1     80993  916287 449.60
## - U1      1     99741  935035 450.45
## - LF      1    106246  941540 450.74
## - M.F     1    137627  972921 452.12
## - Po1     1    181710 1017004 453.98
## - Ed      1    238499 1073793 456.26
## - Ineq    1    405400 1240695 462.33
## 
## Step:  AIC=445.78
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      4305  840910 443.99
## - Wealth  1     19779  856384 444.76
## - So      1     27674  864279 445.14
## <none>                 836605 445.78
## - U2      1     50956  887561 446.26
## - NW      1     65859  902464 446.96
## - Po2     1     67689  904294 447.04
## - M       1     88162  924767 447.98
## - U1      1    102600  939205 448.64
## - LF      1    105683  942288 448.77
## - M.F     1    139301  975906 450.25
## - Prob    1    148136  984741 450.62
## - Po1     1    219237 1055842 453.55
## - Ed      1    254308 1090913 454.92
## - Ineq    1    404623 1241228 460.35
## 
## Step:  AIC=443.99
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     23165  864075 443.13
## - So      1     28187  869098 443.38
## <none>                 840910 443.99
## - U2      1     54001  894911 444.61
## - NW      1     68526  909436 445.28
## - Po2     1     69400  910311 445.32
## - M       1     87455  928366 446.15
## - U1      1     98938  939849 446.66
## - LF      1    101428  942338 446.77
## - M.F     1    148198  989108 448.81
## - Prob    1    159548 1000458 449.29
## - Po1     1    228173 1069083 452.07
## - Ed      1    257547 1098458 453.21
## - Ineq    1    456164 1297074 460.19
## 
## Step:  AIC=443.13
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     20654  884729 442.13
## <none>               864075 443.13
## - NW    1     59431  923506 443.93
## - U2    1     61059  925134 444.00
## - Po2   1     66354  930429 444.24
## - M     1     73031  937106 444.54
## - LF    1     88281  952356 445.22
## - U1    1     97740  961815 445.63
## - M.F   1    142922 1006997 447.56
## - Prob  1    194651 1058726 449.67
## - Po1   1    243241 1107316 451.55
## - Ed    1    275055 1139130 452.74
## - Ineq  1    516371 1380446 460.81
## 
## Step:  AIC=442.13
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     38998  923727 441.94
## <none>               884729 442.13
## - U2    1     49230  933959 442.40
## - Po2   1     61496  946225 442.95
## - LF    1     67986  952715 443.23
## - M     1     73296  958025 443.47
## - U1    1     78148  962877 443.68
## - M.F   1    126245 1010974 445.73
## - Po1   1    237803 1122532 450.12
## - Prob  1    248348 1133077 450.52
## - Ed    1    255026 1139755 450.76
## - Ineq  1    516012 1400741 459.42
## 
## Step:  AIC=441.94
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     42380  966107 441.82
## <none>               923727 441.94
## - LF    1     45979  969706 441.98
## - U2    1     51827  975553 442.23
## - U1    1     72828  996555 443.12
## - M.F   1    101029 1024756 444.30
## - M     1    136561 1060288 445.73
## - Prob  1    211342 1135069 448.59
## - Po1   1    216247 1139974 448.77
## - Ed    1    216746 1140473 448.79
## - Ineq  1    698389 1622116 463.59
## 
## Step:  AIC=441.82
## .outcome ~ M + Ed + Po1 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     26244  992351 440.95
## <none>               966107 441.82
## - U2    1     55930 1022037 442.18
## - U1    1     61942 1028048 442.43
## - M.F   1     93217 1059324 443.69
## - M     1    142794 1108901 445.61
## - Ed    1    194980 1161087 447.54
## - Prob  1    203916 1170023 447.86
## - Ineq  1    748119 1714225 463.91
## - Po1   1   1800379 2766486 484.01
## 
## Step:  AIC=440.95
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     42534 1034885 440.71
## <none>               992351 440.95
## - U2    1     54558 1046909 441.19
## - M.F   1     67095 1059446 441.69
## - M     1    153876 1146227 445.00
## - Ed    1    169408 1161759 445.57
## - Prob  1    181299 1173650 445.99
## - Ineq  1    722321 1714672 461.92
## - Po1   1   1894091 2886442 483.79
## 
## Step:  AIC=440.71
## .outcome ~ M + Ed + Po1 + M.F + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U2    1     12753 1047638 439.22
## - M.F   1     30978 1065863 439.95
## <none>              1034885 440.71
## - M     1    152348 1187233 444.48
## - Ed    1    152872 1187757 444.50
## - Prob  1    175356 1210242 445.28
## - Ineq  1    866083 1900968 464.25
## - Po1   1   3279703 4314588 498.67
## 
## Step:  AIC=439.22
## .outcome ~ M + Ed + Po1 + M.F + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1047638 439.22
## - M.F   1     52769 1100407 439.29
## - M     1    145383 1193021 442.68
## - Ed    1    155989 1203627 443.05
## - Prob  1    181782 1229420 443.94
## - Ineq  1    853758 1901396 462.26
## - Po1   1   3806406 4854044 501.62
## Start:  AIC=460.83
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       922 1142519 458.87
## - So      1      4846 1146442 459.01
## - M.F     1      8547 1150143 459.14
## - Pop     1     13173 1154769 459.31
## - Time    1     30113 1171709 459.92
## - Po2     1     40141 1181738 460.28
## - NW      1     54429 1196025 460.79
## <none>                1141596 460.83
## - U1      1     59591 1201187 460.97
## - Wealth  1     73144 1214740 461.44
## - Po1     1    125105 1266701 463.20
## - U2      1    207085 1348681 465.83
## - Ed      1    209262 1350858 465.90
## - Prob    1    237168 1378764 466.76
## - M       1    238600 1380196 466.80
## - Ineq    1    283371 1424968 468.14
## 
## Step:  AIC=458.87
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     11588 1154106 457.29
## - Pop     1     12371 1154889 457.32
## - M.F     1     20819 1163337 457.62
## - Time    1     29417 1171935 457.93
## - Po2     1     53483 1196002 458.79
## <none>                1142519 458.87
## - NW      1     61713 1204231 459.07
## - Wealth  1     76790 1219309 459.60
## - U1      1     94913 1237432 460.22
## - Po1     1    147996 1290514 461.98
## - U2      1    211460 1353978 464.00
## - Prob    1    238802 1381321 464.84
## - M       1    303155 1445674 466.75
## - Ed      1    320244 1462763 467.24
## - Ineq    1    329689 1472208 467.51
## 
## Step:  AIC=457.29
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     11198 1165304 455.69
## - M.F     1     23291 1177397 456.13
## - Time    1     24688 1178794 456.18
## - NW      1     50256 1204363 457.08
## - Po2     1     53375 1207481 457.19
## <none>                1154106 457.29
## - Wealth  1     67745 1221851 457.68
## - U1      1     84783 1238889 458.27
## - Po1     1    149711 1303817 460.41
## - U2      1    199937 1354043 462.00
## - Prob    1    263457 1417563 463.92
## - M       1    291921 1446027 464.76
## - Ineq    1    319172 1473278 465.54
## - Ed      1    345383 1499489 466.28
## 
## Step:  AIC=455.69
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     34153 1199457 454.91
## - M.F     1     47313 1212617 455.37
## - Po2     1     53285 1218588 455.57
## - NW      1     53356 1218660 455.57
## <none>                1165304 455.69
## - Wealth  1     62212 1227516 455.88
## - U1      1    105786 1271090 457.34
## - Po1     1    142956 1308260 458.55
## - U2      1    217635 1382939 460.89
## - Prob    1    261458 1426762 462.20
## - M       1    302657 1467961 463.39
## - Ineq    1    316123 1481427 463.78
## - Ed      1    336126 1501430 464.34
## 
## Step:  AIC=454.91
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     30427 1229883 453.96
## - NW      1     35054 1234511 454.12
## - Wealth  1     50135 1249592 454.63
## <none>                1199457 454.91
## - M.F     1     97663 1297119 456.20
## - U1      1    106899 1306356 456.49
## - Po1     1    111998 1311455 456.66
## - U2      1    217949 1417406 459.92
## - Prob    1    261362 1460818 461.19
## - M       1    273381 1472837 461.53
## - Ineq    1    312448 1511905 462.63
## - Ed      1    341714 1541171 463.44
## 
## Step:  AIC=453.96
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     25586 1255470 452.82
## - Wealth  1     49206 1279089 453.61
## <none>                1229883 453.96
## - M.F     1    116445 1346328 455.76
## - U1      1    116608 1346491 455.76
## - U2      1    233351 1463234 459.26
## - Prob    1    261578 1491461 460.06
## - M       1    277973 1507857 460.52
## - Ed      1    324212 1554095 461.79
## - Ineq    1    355079 1584962 462.61
## - Po1     1    607774 1837658 468.83
## 
## Step:  AIC=452.82
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     45982 1301452 452.34
## <none>                1255470 452.82
## - M.F     1     95288 1350758 453.90
## - U1      1    110671 1366140 454.37
## - U2      1    232044 1487514 457.95
## - Prob    1    236243 1491712 458.07
## - Ed      1    320076 1575546 460.36
## - M       1    379291 1634761 461.91
## - Ineq    1    490014 1745483 464.66
## - Po1     1    920508 2175978 473.92
## 
## Step:  AIC=452.34
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1301452 452.34
## - M.F   1    128617 1430069 454.29
## - U1    1    152416 1453868 454.99
## - Prob  1    288206 1589658 458.74
## - U2    1    296726 1598178 458.96
## - M     1    336277 1637729 459.99
## - Ed    1    363158 1664610 460.67
## - Ineq  1    536394 1837846 464.83
## - Po1   1   1392519 2693971 480.89
## Start:  AIC=465.57
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       417 1278324 463.58
## - NW      1       418 1278325 463.58
## - So      1      1249 1279156 463.61
## - LF      1      6764 1284671 463.79
## - M.F     1     14279 1292186 464.04
## - Pop     1     24091 1301998 464.35
## - Po2     1     35150 1313057 464.71
## - U1      1     38850 1316757 464.83
## - Wealth  1     42314 1320221 464.94
## <none>                1277907 465.57
## - Prob    1    110680 1388587 467.06
## - Po1     1    134290 1412197 467.77
## - U2      1    156707 1434613 468.43
## - M       1    178108 1456015 469.05
## - Ed      1    349505 1627412 473.72
## - Ineq    1    478367 1756274 476.92
## 
## Step:  AIC=463.58
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       152 1278476 461.59
## - So      1      1893 1280218 461.64
## - LF      1      6356 1284680 461.79
## - M.F     1     14209 1292533 462.05
## - Pop     1     31297 1309621 462.60
## - Po2     1     36650 1314975 462.77
## - U1      1     40614 1318939 462.90
## - Wealth  1     44775 1323099 463.03
## <none>                1278324 463.58
## - Po1     1    139620 1417945 465.94
## - U2      1    161784 1440108 466.59
## - Prob    1    162705 1441029 466.61
## - M       1    180759 1459084 467.14
## - Ed      1    352832 1631156 471.82
## - Ineq    1    499922 1778246 475.45
## 
## Step:  AIC=461.59
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      3419 1281894 459.70
## - LF      1      6475 1284951 459.80
## - M.F     1     14963 1293439 460.08
## - Pop     1     31249 1309725 460.60
## - Po2     1     36522 1314998 460.77
## - U1      1     42781 1321257 460.97
## - Wealth  1     44952 1323428 461.04
## <none>                1278476 461.59
## - Po1     1    139643 1418119 463.94
## - U2      1    162071 1440547 464.60
## - Prob    1    166436 1444912 464.73
## - M       1    208258 1486734 465.93
## - Ed      1    365911 1644387 470.16
## - Ineq    1    520305 1798781 473.93
## 
## Step:  AIC=459.7
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11982 1293877 458.09
## - M.F     1     16528 1298422 458.24
## - Pop     1     32520 1314415 458.75
## - Po2     1     33738 1315632 458.79
## - Wealth  1     45516 1327411 459.16
## <none>                1281894 459.70
## - U1      1     64548 1346442 459.76
## - Po1     1    136234 1418128 461.94
## - Prob    1    163565 1445459 462.74
## - U2      1    199163 1481058 463.77
## - M       1    242793 1524688 464.98
## - Ed      1    365925 1647820 468.25
## - Ineq    1    642964 1924859 474.77
## 
## Step:  AIC=458.09
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      7503 1301380 456.33
## - Po2     1     25358 1319235 456.91
## - Pop     1     42428 1336305 457.45
## - Wealth  1     44770 1338646 457.52
## - U1      1     53987 1347864 457.81
## <none>                1293877 458.09
## - Po1     1    124937 1418814 459.96
## - Prob    1    153732 1447608 460.81
## - U2      1    202235 1496112 462.19
## - M       1    265353 1559229 463.93
## - Ed      1    363994 1657870 466.50
## - Ineq    1    631954 1925830 472.79
## 
## Step:  AIC=456.33
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     33508 1334888 455.40
## - U1      1     47608 1348988 455.84
## - Wealth  1     59502 1360882 456.21
## <none>                1301380 456.33
## - Pop     1     81607 1382987 456.89
## - Po1     1    150703 1452083 458.94
## - Prob    1    154559 1455939 459.05
## - U2      1    195566 1496946 460.21
## - M       1    288437 1589817 462.74
## - Ed      1    435602 1736982 466.46
## - Ineq    1    821045 2122424 474.88
## 
## Step:  AIC=455.4
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     46627 1381515 454.84
## - Wealth  1     58529 1393417 455.20
## <none>                1334888 455.40
## - Pop     1     83559 1418447 455.95
## - Prob    1    155007 1489895 458.01
## - U2      1    199320 1534208 459.25
## - M       1    299961 1634849 461.91
## - Ed      1    428844 1763733 465.10
## - Ineq    1    851883 2186771 474.13
## - Po1     1    897357 2232245 475.00
## 
## Step:  AIC=454.84
## .outcome ~ M + Ed + Po1 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1381515 454.84
## - Pop     1     75281 1456796 455.07
## - Wealth  1     80863 1462378 455.23
## - Prob    1    153107 1534623 457.26
## - U2      1    211854 1593369 458.84
## - M       1    291824 1673339 460.89
## - Ed      1    382330 1763845 463.10
## - Ineq    1    964355 2345871 475.08
## - Po1     1   1045323 2426838 476.51
## Start:  AIC=466.78
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        88 1315475 464.79
## - LF      1       808 1316194 464.81
## - Time    1      7190 1322577 465.01
## - Po2     1      8872 1324258 465.07
## - NW      1     10815 1326201 465.13
## - Pop     1     11728 1327115 465.16
## - Wealth  1     19683 1335070 465.41
## - M.F     1     39919 1355306 466.04
## <none>                1315387 466.78
## - Po1     1     68727 1384114 466.92
## - U1      1     76846 1392233 467.17
## - Prob    1    136148 1451535 468.92
## - M       1    155488 1470874 469.48
## - U2      1    192256 1507643 470.51
## - Ineq    1    362380 1677766 475.00
## - Ed      1    370825 1686212 475.21
## 
## Step:  AIC=464.79
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      1209 1316684 462.82
## - Time    1      7308 1322783 463.02
## - Po2     1      8982 1324457 463.07
## - Pop     1     11658 1327133 463.16
## - NW      1     11974 1327449 463.17
## - Wealth  1     20283 1335758 463.43
## - M.F     1     40844 1356319 464.07
## <none>                1315475 464.79
## - Po1     1     69105 1384580 464.94
## - U1      1     87672 1403147 465.50
## - Prob    1    141164 1456639 467.07
## - M       1    160052 1475527 467.61
## - U2      1    198834 1514309 468.70
## - Ed      1    370742 1686217 473.21
## - Ineq    1    441211 1756686 474.93
## 
## Step:  AIC=462.82
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      6543 1323227 461.03
## - Po2     1      7801 1324485 461.07
## - NW      1     10803 1327487 461.17
## - Pop     1     11914 1328598 461.20
## - Wealth  1     19082 1335766 461.43
## - M.F     1     41386 1358070 462.12
## <none>                1316684 462.82
## - Po1     1     71350 1388034 463.04
## - U1      1     91234 1407918 463.64
## - Prob    1    149495 1466179 465.34
## - M       1    186357 1503041 466.38
## - U2      1    200687 1517371 466.78
## - Ed      1    411563 1728246 472.25
## - Ineq    1    440248 1756932 472.94
## 
## Step:  AIC=461.03
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      3932 1327160 459.16
## - NW      1      6171 1329398 459.23
## - Pop     1     14733 1337961 459.50
## - Wealth  1     16200 1339427 459.54
## - M.F     1     52286 1375513 460.66
## <none>                1323227 461.03
## - Po1     1     64807 1388034 461.04
## - U1      1     88451 1411678 461.75
## - M       1    185061 1508288 464.53
## - Prob    1    196425 1519653 464.85
## - U2      1    196952 1520180 464.86
## - Ed      1    420057 1743284 470.61
## - Ineq    1    447359 1770586 471.26
## 
## Step:  AIC=459.16
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      5006 1332165 457.32
## - Pop     1     13226 1340386 457.57
## - Wealth  1     15560 1342720 457.65
## - M.F     1     64357 1391517 459.15
## <none>                1327160 459.16
## - U1      1     93658 1420817 460.02
## - M       1    186394 1513553 462.68
## - Prob    1    193763 1520923 462.88
## - U2      1    207894 1535054 463.27
## - Ed      1    416136 1743296 468.61
## - Ineq    1    455711 1782871 469.55
## - Po1     1    730422 2057582 475.57
## 
## Step:  AIC=457.32
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     10572 1342737 455.65
## - Wealth  1     12732 1344898 455.71
## - M.F     1     61829 1393994 457.22
## <none>                1332165 457.32
## - U1      1     95389 1427555 458.22
## - Prob    1    196660 1528825 461.10
## - U2      1    209063 1541228 461.44
## - M       1    265169 1597334 462.94
## - Ed      1    411134 1743300 466.61
## - Ineq    1    492524 1824689 468.53
## - Po1     1    947870 2280035 477.89
## 
## Step:  AIC=455.65
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      9143 1351880 453.93
## <none>                1342737 455.65
## - U1      1    106224 1448961 456.84
## - M.F     1    118091 1460828 457.19
## - Prob    1    186105 1528842 459.10
## - U2      1    207714 1550451 459.69
## - M       1    271050 1613787 461.37
## - Ed      1    409989 1752726 464.84
## - Ineq    1    508249 1850986 467.13
## - Po1     1   1043847 2386584 477.80
## 
## Step:  AIC=453.93
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1351880 453.93
## - U1    1    120010 1471890 455.50
## - M.F   1    138483 1490363 456.03
## - Prob  1    219798 1571678 458.26
## - U2    1    227590 1579470 458.47
## - M     1    262574 1614454 459.39
## - Ed    1    446989 1798869 463.93
## - Ineq  1    693612 2045492 469.33
## - Po1   1   1490248 2842128 483.14
## Start:  AIC=463.65
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1        14 1220980 461.65
## - Time    1       151 1221117 461.66
## - LF      1       348 1221313 461.67
## - So      1      2730 1223696 461.75
## - Pop     1      8720 1229686 461.95
## - M.F     1     21245 1242211 462.38
## - Wealth  1     23092 1244057 462.44
## - Po2     1     32582 1253548 462.76
## <none>                1220966 463.65
## - U1      1     73302 1294268 464.10
## - Prob    1    111523 1332489 465.33
## - M       1    128550 1349516 465.86
## - Po1     1    128673 1349638 465.86
## - U2      1    144199 1365165 466.34
## - Ineq    1    347758 1568724 472.18
## - Ed      1    373404 1594370 472.86
## 
## Step:  AIC=461.65
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       198 1221177 459.66
## - LF      1       339 1221319 459.67
## - So      1      3447 1224427 459.77
## - Pop     1      8774 1229754 459.96
## - M.F     1     21380 1242360 460.38
## - Wealth  1     23537 1244517 460.46
## - Po2     1     36565 1257545 460.89
## <none>                1220980 461.65
## - U1      1     73296 1294275 462.10
## - Prob    1    130905 1351885 463.93
## - Po1     1    136864 1357844 464.12
## - M       1    141084 1362063 464.25
## - U2      1    145398 1366378 464.38
## - Ineq    1    363110 1584089 470.59
## - Ed      1    384567 1605547 471.15
## 
## Step:  AIC=459.66
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       347 1221524 457.67
## - So      1      3379 1224556 457.78
## - Pop     1      8712 1229890 457.96
## - M.F     1     21289 1242466 458.39
## - Wealth  1     24080 1245257 458.48
## - Po2     1     40151 1261328 459.02
## <none>                1221177 459.66
## - U1      1     76431 1297608 460.21
## - Po1     1    145289 1366466 462.38
## - U2      1    155173 1376351 462.69
## - M       1    167000 1388177 463.04
## - Prob    1    190250 1411428 463.74
## - Ineq    1    362994 1584171 468.59
## - Ed      1    389003 1610180 469.28
## 
## Step:  AIC=457.67
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5049 1226573 455.85
## - Pop     1      9175 1230699 455.99
## - Wealth  1     23754 1245278 456.48
## - M.F     1     25293 1246817 456.53
## - Po2     1     40022 1261546 457.03
## <none>                1221524 457.67
## - U1      1     86840 1308364 458.56
## - Po1     1    145974 1367498 460.41
## - U2      1    154878 1376402 460.69
## - M       1    167534 1389058 461.07
## - Prob    1    190326 1411850 461.76
## - Ineq    1    381931 1603455 467.10
## - Ed      1    412814 1634338 467.90
## 
## Step:  AIC=455.85
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     11079 1237652 454.22
## - M.F     1     23362 1249935 454.64
## - Wealth  1     28507 1255080 454.81
## - Po2     1     36802 1263375 455.09
## <none>                1226573 455.85
## - U1      1    108247 1334819 457.40
## - Po1     1    141505 1368078 458.43
## - U2      1    190622 1417195 459.91
## - Prob    1    199315 1425888 460.17
## - M       1    204992 1431565 460.34
## - Ed      1    408298 1634871 465.92
## - Ineq    1    523149 1749722 468.77
## 
## Step:  AIC=454.22
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     24005 1261657 453.03
## - Po2     1     35651 1273303 453.42
## - M.F     1     46160 1283812 453.76
## <none>                1237652 454.22
## - U1      1    116368 1354020 456.00
## - Po1     1    133969 1371621 456.54
## - Prob    1    188527 1426179 458.18
## - U2      1    197125 1434777 458.43
## - M       1    211063 1448715 458.84
## - Ed      1    402021 1639673 464.04
## - Ineq    1    541301 1778953 467.46
## 
## Step:  AIC=453.03
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     39810 1301468 452.34
## - M.F   1     53863 1315520 452.79
## <none>              1261657 453.03
## - U1    1    137164 1398821 455.37
## - Po1   1    155436 1417093 455.91
## - M     1    191101 1452758 456.95
## - U2    1    230117 1491774 458.07
## - Prob  1    240677 1502334 458.36
## - Ed    1    458820 1720478 464.06
## - Ineq  1    670734 1932391 468.94
## 
## Step:  AIC=452.34
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1301468 452.34
## - M.F   1     83760 1385227 452.96
## - U1    1    142480 1443948 454.70
## - M     1    194866 1496334 456.20
## - U2    1    229915 1531383 457.17
## - Prob  1    237105 1538573 457.37
## - Ed    1    429205 1730672 462.31
## - Ineq  1    720698 2022166 468.84
## - Po1   1   1393209 2694676 480.90
## Start:  AIC=453.21
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1         1  952192 451.21
## - Po2     1      1005  953196 451.26
## - LF      1      1768  953959 451.29
## - Wealth  1      4008  956199 451.39
## - NW      1      4586  956777 451.41
## - So      1     11251  963442 451.71
## - M.F     1     18216  970407 452.01
## - Po1     1     20417  972608 452.10
## - Pop     1     25677  977868 452.33
## <none>                 952191 453.21
## - U1      1     80983 1033175 454.64
## - U2      1    208287 1160478 459.52
## - M       1    210350 1162542 459.59
## - Prob    1    224523 1176714 460.10
## - Ineq    1    248374 1200565 460.95
## - Ed      1    488951 1441142 468.62
## 
## Step:  AIC=451.21
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      1102  953295 449.26
## - LF      1      1825  954017 449.29
## - Wealth  1      4071  956263 449.39
## - NW      1      4983  957175 449.43
## - So      1     12470  964662 449.76
## - M.F     1     19780  971973 450.08
## - Po1     1     22303  974495 450.18
## - Pop     1     26587  978780 450.37
## <none>                 952192 451.21
## - U1      1     87794 1039986 452.92
## - U2      1    220415 1172607 457.96
## - M       1    220577 1172770 457.96
## - Ineq    1    249288 1201481 458.98
## - Prob    1    297027 1249219 460.62
## - Ed      1    488991 1441184 466.62
## 
## Step:  AIC=449.26
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      2666  955961 447.38
## - Wealth  1      4150  957444 447.44
## - NW      1      6523  959818 447.55
## - So      1     13003  966298 447.83
## - M.F     1     21371  974666 448.19
## - Pop     1     26049  979344 448.39
## <none>                 953295 449.26
## - U1      1     87512 1040807 450.95
## - U2      1    221252 1174546 456.03
## - M       1    222607 1175902 456.07
## - Ineq    1    250366 1203660 457.05
## - Prob    1    299275 1252569 458.73
## - Ed      1    495680 1448975 464.85
## - Po1     1    683984 1637278 469.98
## 
## Step:  AIC=447.38
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      3401  959362 445.53
## - NW      1      4787  960748 445.59
## - M.F     1     19138  975099 446.21
## - So      1     26667  982628 446.53
## - Pop     1     28752  984713 446.62
## <none>                 955961 447.38
## - U1      1     94953 1050914 449.36
## - U2      1    218924 1174885 454.04
## - M       1    228399 1184360 454.38
## - Ineq    1    252060 1208021 455.21
## - Prob    1    301688 1257649 456.90
## - Ed      1    534512 1490473 464.03
## - Po1     1    787817 1743778 470.62
## 
## Step:  AIC=445.53
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      3509  962871 443.68
## - M.F   1     21601  980963 444.46
## - Pop   1     26590  985951 444.68
## - So    1     32347  991708 444.92
## <none>               959362 445.53
## - U1    1    104823 1064185 447.88
## - M     1    225359 1184720 452.39
## - U2    1    241882 1201244 452.97
## - Prob  1    318172 1277534 455.56
## - Ineq  1    359681 1319043 456.90
## - Ed    1    585803 1545165 463.54
## - Po1   1    954815 1914177 472.54
## 
## Step:  AIC=443.68
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     18886  981757 442.50
## - Pop   1     26178  989049 442.81
## - So    1     39394 1002265 443.36
## <none>               962871 443.68
## - U1    1    103319 1066190 445.96
## - U2    1    243244 1206114 451.14
## - M     1    287916 1250787 452.67
## - Prob  1    321136 1284007 453.77
## - Ineq  1    404415 1367286 456.41
## - Ed    1    582340 1545210 461.55
## - Po1   1   1120049 2082920 474.09
## 
## Step:  AIC=442.5
## .outcome ~ So + M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     29607 1011364 441.74
## <none>               981757 442.50
## - Pop   1     70046 1051803 443.39
## - U1    1     86254 1068011 444.03
## - U2    1    236233 1217990 449.55
## - Prob  1    318692 1300449 452.30
## - M     1    344287 1326044 453.12
## - Ineq  1    517749 1499506 458.29
## - Ed    1    797960 1779717 465.48
## - Po1   1   1356872 2338629 476.95
## 
## Step:  AIC=441.74
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1011364 441.74
## - Pop   1     73452 1084816 442.69
## - U1    1    153909 1165273 445.69
## - Prob  1    294192 1305555 450.47
## - U2    1    332947 1344311 451.70
## - M     1    404492 1415856 453.87
## - Ineq  1    715137 1726501 462.21
## - Ed    1    770936 1782299 463.54
## - Po1   1   1392160 2403523 476.10
## Start:  AIC=462.2
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1         4  951613 460.20
## - Wealth  1      2436  954046 460.31
## - LF      1      3920  955529 460.38
## - NW      1      6128  957738 460.48
## - So      1      9393  961002 460.62
## - Pop     1     28262  979872 461.46
## - U1      1     34285  985894 461.72
## <none>                 951609 462.20
## - Time    1     79293 1030902 463.64
## - Po2     1    122928 1074537 465.43
## - U2      1    151828 1103437 466.57
## - Prob    1    244226 1195836 470.03
## - Po1     1    281847 1233456 471.36
## - M       1    285806 1237416 471.50
## - Ineq    1    328308 1279917 472.95
## - Ed      1    430865 1382475 476.26
## 
## Step:  AIC=460.2
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      2471  954084 458.31
## - LF      1      5081  956694 458.43
## - NW      1      6217  957831 458.48
## - So      1      9888  961501 458.65
## - Pop     1     34827  986441 459.75
## - U1      1     39457  991070 459.95
## <none>                 951613 460.20
## - Time    1     84189 1035803 461.85
## - Po2     1    129498 1081112 463.69
## - U2      1    151945 1103558 464.57
## - Prob    1    244444 1196057 468.03
## - Po1     1    306521 1258134 470.21
## - M       1    323890 1275504 470.80
## - Ineq    1    350824 1302438 471.70
## - Ed      1    492514 1444128 476.14
## 
## Step:  AIC=458.31
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      3948  958032 456.49
## - NW    1      4745  958830 456.53
## - So    1     13625  967709 456.92
## - Pop   1     33904  987989 457.82
## - U1    1     39868  993952 458.07
## <none>               954084 458.31
## - Time  1     83683 1037768 459.93
## - Po2   1    130457 1084541 461.83
## - U2    1    159155 1113240 462.95
## - Prob  1    254800 1208884 466.49
## - Po1   1    317629 1271713 468.67
## - M     1    321655 1275740 468.81
## - Ineq  1    493016 1447101 474.23
## - Ed    1    515938 1470022 474.90
## 
## Step:  AIC=456.49
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      3024  961056 454.63
## - So    1     23319  981351 455.53
## - Pop   1     32897  990930 455.94
## - U1    1     36226  994259 456.09
## <none>               958032 456.49
## - Time  1     79752 1037784 457.93
## - Po2   1    133218 1091250 460.09
## - U2    1    159084 1117116 461.10
## - Prob  1    252884 1210917 464.56
## - M     1    320388 1278421 466.90
## - Po1   1    339370 1297402 467.53
## - Ineq  1    504431 1462464 472.68
## - Ed    1    596639 1554672 475.31
## 
## Step:  AIC=454.63
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     31247  992303 454.00
## - Pop   1     32580  993636 454.06
## - U1    1     34305  995361 454.14
## <none>               961056 454.63
## - Time  1     77010 1038066 455.94
## - Po2   1    131098 1092154 458.13
## - U2    1    156803 1117859 459.13
## - Prob  1    257915 1218971 462.85
## - Po1   1    337829 1298885 465.58
## - M     1    371812 1332868 466.69
## - Ineq  1    574731 1535787 472.78
## - Ed    1    600847 1561903 473.51
## 
## Step:  AIC=454
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     34620 1026924 453.48
## <none>               992303 454.00
## - U1    1     57366 1049670 454.42
## - Time  1     71460 1063764 454.99
## - Po2   1    110958 1103261 456.56
## - U2    1    206513 1198816 460.13
## - Prob  1    226712 1219015 460.85
## - Po1   1    311946 1304249 463.76
## - M     1    432835 1425138 467.57
## - Ed    1    574153 1566456 471.63
## - Ineq  1    813791 1806095 477.76
## 
## Step:  AIC=453.48
## .outcome ~ M + Ed + Po1 + Po2 + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1026924 453.48
## - U1    1     58315 1085239 453.85
## - Po2   1    125721 1152644 456.44
## - Time  1    129586 1156510 456.59
## - U2    1    203261 1230184 459.24
## - Prob  1    230910 1257834 460.20
## - Po1   1    315814 1342738 463.01
## - M     1    527770 1554694 469.31
## - Ed    1    604081 1631005 471.37
## - Ineq  1    779178 1806102 475.76
## Start:  AIC=486.58
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       186 1350033 484.58
## - LF      1      8039 1357886 484.84
## - Pop     1     10198 1360044 484.91
## - Time    1     10590 1360436 484.92
## - NW      1     15746 1365593 485.09
## - Po2     1     23921 1373768 485.35
## - M.F     1     24752 1374599 485.38
## - Wealth  1     37481 1387327 485.78
## <none>                1349847 486.58
## - U1      1     75403 1425250 486.97
## - Po1     1    100307 1450154 487.73
## - U2      1    171334 1521181 489.84
## - M       1    173295 1523142 489.89
## - Prob    1    181874 1531720 490.14
## - Ed      1    374533 1724380 495.35
## - Ineq    1    409736 1759583 496.24
## 
## Step:  AIC=484.58
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8922 1358955 482.87
## - Pop     1     10277 1360310 482.92
## - Time    1     10403 1360436 482.92
## - NW      1     17289 1367322 483.14
## - Po2     1     23776 1373809 483.35
## - M.F     1     24765 1374797 483.38
## - Wealth  1     38179 1388212 483.81
## <none>                1350033 484.58
## - U1      1     85593 1435626 485.29
## - Po1     1    100224 1450257 485.73
## - M       1    173664 1523697 487.91
## - U2      1    178382 1528415 488.04
## - Prob    1    189098 1539131 488.35
## - Ed      1    374371 1724404 493.35
## - Ineq    1    464307 1814340 495.59
## 
## Step:  AIC=482.87
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9754 1368709 481.19
## - NW      1     13218 1372173 481.30
## - Pop     1     15661 1374616 481.38
## - M.F     1     16347 1375302 481.40
## - Po2     1     17609 1376565 481.44
## - Wealth  1     37023 1395979 482.06
## <none>                1358955 482.87
## - U1      1     76671 1435626 483.29
## - Po1     1     92004 1450959 483.76
## - Prob    1    180298 1539254 486.36
## - U2      1    186015 1544970 486.52
## - M       1    189026 1547981 486.60
## - Ed      1    377834 1736790 491.67
## - Ineq    1    473305 1832260 494.02
## 
## Step:  AIC=481.19
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      8567 1377277 479.46
## - Po2     1     11762 1380471 479.56
## - Pop     1     24712 1393422 479.98
## - M.F     1     24830 1393539 479.98
## - Wealth  1     33684 1402394 480.26
## <none>                1368709 481.19
## - U1      1     73378 1442088 481.49
## - Po1     1     83165 1451874 481.78
## - M       1    179867 1548577 484.62
## - U2      1    182251 1550960 484.69
## - Prob    1    208028 1576738 485.41
## - Ed      1    385756 1754465 490.11
## - Ineq    1    487858 1856567 492.60
## 
## Step:  AIC=479.46
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      7989 1385266 477.72
## - M.F     1     20990 1398267 478.13
## - Pop     1     22554 1399831 478.18
## - Wealth  1     31068 1408345 478.44
## <none>                1377277 479.46
## - U1      1     74373 1451650 479.78
## - Po1     1     77098 1454375 479.86
## - U2      1    189485 1566762 483.13
## - Prob    1    201942 1579219 483.48
## - M       1    237095 1614372 484.45
## - Ed      1    377322 1754599 488.12
## - Ineq    1    580021 1957298 492.93
## 
## Step:  AIC=477.72
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     18486 1403753 476.30
## - M.F     1     21818 1407084 476.40
## - Wealth  1     32994 1418260 476.75
## <none>                1385266 477.72
## - U1      1     71711 1456977 477.94
## - U2      1    186314 1571580 481.27
## - Prob    1    203962 1589228 481.76
## - M       1    233165 1618431 482.56
## - Ed      1    369537 1754803 486.12
## - Ineq    1    603024 1988290 491.62
## - Po1     1    808451 2193717 495.94
## 
## Step:  AIC=476.3
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     29186 1432938 475.21
## - M.F     1     39054 1442807 475.51
## <none>                1403753 476.30
## - U1      1     77718 1481471 476.67
## - U2      1    181336 1585088 479.65
## - Prob    1    187469 1591222 479.82
## - M       1    259127 1662879 481.75
## - Ed      1    364943 1768696 484.47
## - Ineq    1    601760 2005512 490.00
## - Po1     1    917974 2321726 496.44
## 
## Step:  AIC=475.21
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     58316 1491254 474.96
## <none>              1432938 475.21
## - U1    1    108702 1541640 476.42
## - Prob  1    226320 1659258 479.66
## - M     1    234637 1667576 479.88
## - U2    1    234920 1667858 479.89
## - Ed    1    415278 1848216 484.40
## - Ineq  1    723842 2156780 491.20
## - Po1   1   1433584 2866523 503.71
## 
## Step:  AIC=474.96
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     56976 1548230 474.61
## <none>              1491254 474.96
## - U2    1    185043 1676296 478.11
## - Prob  1    250683 1741937 479.80
## - M     1    296676 1787930 480.94
## - Ed    1    689387 2180641 489.68
## - Ineq  1    818000 2309254 492.20
## - Po1   1   1395242 2886496 502.02
## 
## Step:  AIC=474.61
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1548230 474.61
## - U2    1    166321 1714551 477.10
## - Prob  1    261561 1809791 479.48
## - M     1    283291 1831521 480.00
## - Ed    1    636783 2185013 487.77
## - Ineq  1    864474 2412703 492.13
## - Po1   1   2115862 3664091 510.52
## Start:  AIC=464.16
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9744 1245558 462.49
## - Pop     1     10177 1245991 462.51
## - LF      1     13337 1249151 462.61
## - So      1     13742 1249556 462.63
## - NW      1     31138 1266953 463.21
## - M.F     1     31783 1267598 463.23
## - Po2     1     41814 1277628 463.56
## - U1      1     50850 1286664 463.86
## <none>                1235814 464.16
## - Wealth  1    104320 1340135 465.57
## - U2      1    114907 1350722 465.90
## - Po1     1    134378 1370192 466.50
## - Prob    1    135736 1371550 466.54
## - M       1    208943 1444757 468.72
## - Ed      1    272197 1508012 470.52
## - Ineq    1    452261 1688076 475.26
## 
## Step:  AIC=462.49
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11812 1257370 460.89
## - So      1     11830 1257388 460.89
## - Pop     1     16444 1262002 461.04
## - NW      1     23916 1269473 461.29
## - Po2     1     32779 1278336 461.58
## - M.F     1     39384 1284942 461.80
## - U1      1     45884 1291442 462.01
## <none>                1245558 462.49
## - Wealth  1    101033 1346591 463.77
## - U2      1    108876 1354434 464.01
## - Po1     1    125004 1370562 464.51
## - Prob    1    139524 1385082 464.95
## - M       1    201089 1446647 466.78
## - Ed      1    272592 1518150 468.80
## - Ineq    1    457742 1703300 473.64
## 
## Step:  AIC=460.89
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4453 1261822 459.04
## - NW      1     16303 1273673 459.43
## - Pop     1     18115 1275484 459.49
## - Po2     1     25316 1282686 459.73
## - M.F     1     27700 1285069 459.80
## - U1      1     35468 1292837 460.06
## <none>                1257370 460.89
## - Wealth  1     92885 1350254 461.88
## - U2      1    111882 1369251 462.47
## - Po1     1    114785 1372154 462.56
## - Prob    1    135148 1392518 463.18
## - M       1    210122 1467492 465.38
## - Ed      1    264548 1521918 466.91
## - Ineq    1    453021 1710391 471.81
## 
## Step:  AIC=459.04
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     12790 1274612 457.46
## - Pop     1     17493 1279315 457.61
## - Po2     1     26597 1288419 457.91
## - M.F     1     32033 1293855 458.09
## - U1      1     34575 1296398 458.17
## <none>                1261822 459.04
## - Wealth  1     93917 1355739 460.05
## - U2      1    109032 1370855 460.52
## - Po1     1    121366 1383188 460.89
## - Prob    1    193764 1455586 463.04
## - M       1    215712 1477534 463.67
## - Ed      1    293881 1555703 465.83
## - Ineq    1    507753 1769575 471.24
## 
## Step:  AIC=457.46
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     17508 1292120 456.03
## - Po2     1     20564 1295176 456.13
## - M.F     1     25596 1300208 456.30
## - U1      1     31771 1306383 456.49
## <none>                1274612 457.46
## - Wealth  1     88378 1362990 458.28
## - U2      1    109408 1384020 458.92
## - Po1     1    115194 1389806 459.09
## - Prob    1    182190 1456803 461.07
## - Ed      1    284269 1558881 463.92
## - M       1    333371 1607984 465.22
## - Ineq    1    595633 1870245 471.56
## 
## Step:  AIC=456.03
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     20143 1312263 454.68
## - U1      1     40523 1332644 455.33
## - M.F     1     58555 1350675 455.89
## <none>                1292120 456.03
## - Wealth  1     85669 1377789 456.73
## - Po1     1    105447 1397568 457.33
## - U2      1    116950 1409070 457.67
## - Prob    1    165230 1457350 459.09
## - Ed      1    278170 1570290 462.22
## - M       1    344824 1636944 463.97
## - Ineq    1    593337 1885458 469.90
## 
## Step:  AIC=454.68
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     42966 1355229 454.04
## <none>                1312263 454.68
## - M.F     1     77694 1389958 455.10
## - Wealth  1     81586 1393849 455.22
## - U2      1    119550 1431813 456.34
## - Prob    1    173963 1486227 457.91
## - Ed      1    265571 1577835 460.42
## - M       1    336876 1649140 462.28
## - Ineq    1    620096 1932360 468.94
## - Po1     1    764637 2076901 471.97
## 
## Step:  AIC=454.04
## .outcome ~ M + Ed + Po1 + M.F + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     41579 1396808 453.31
## <none>                1355229 454.04
## - U2      1    102151 1457381 455.09
## - Wealth  1    131736 1486965 455.93
## - Prob    1    161847 1517076 456.77
## - Ed      1    239581 1594811 458.87
## - M       1    422985 1778215 463.44
## - Ineq    1    787905 2143134 471.28
## - Po1     1    899098 2254327 473.41
## 
## Step:  AIC=453.31
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1396808 453.31
## - Wealth  1    135744 1532553 455.20
## - Prob    1    149888 1546696 455.59
## - U2      1    159462 1556271 455.85
## - Ed      1    488123 1884931 463.89
## - M       1    507662 1904471 464.33
## - Ineq    1    833533 2230341 470.96
## - Po1     1    863869 2260677 471.53
## Start:  AIC=457.94
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       121 1065685 455.94
## - Pop     1      4835 1070398 456.13
## - Time    1      6610 1072174 456.20
## - LF      1     22512 1088075 456.81
## - Wealth  1     32615 1098178 457.20
## - NW      1     38083 1103646 457.41
## <none>                1065563 457.94
## - M.F     1     53109 1118673 457.98
## - U1      1     79869 1145432 458.97
## - Po2     1     89628 1155191 459.33
## - Prob    1    162363 1227927 461.89
## - U2      1    209492 1275055 463.47
## - Ineq    1    212619 1278183 463.58
## - Po1     1    222475 1288038 463.90
## - M       1    256919 1322482 465.01
## - Ed      1    467960 1533523 471.23
## 
## Step:  AIC=455.94
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      4765 1070449 454.13
## - Time    1      6551 1072236 454.20
## - LF      1     26646 1092331 454.98
## - Wealth  1     34900 1100585 455.29
## - NW      1     45222 1110906 455.69
## <none>                1065685 455.94
## - M.F     1     53055 1118740 455.98
## - Po2     1     89755 1155439 457.34
## - U1      1     91840 1157525 457.41
## - Prob    1    164720 1230405 459.98
## - U2      1    220551 1286235 461.84
## - Po1     1    222606 1288290 461.91
## - M       1    257198 1322883 463.02
## - Ineq    1    258992 1324677 463.08
## - Ed      1    469960 1535645 469.29
## 
## Step:  AIC=454.13
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9301 1079750 452.49
## - LF      1     31969 1102418 453.36
## - Wealth  1     32491 1102941 453.38
## - NW      1     47625 1118075 453.96
## <none>                1070449 454.13
## - M.F     1     80946 1151395 455.19
## - Po2     1     93208 1163657 455.64
## - U1      1    104991 1175440 456.06
## - Prob    1    163646 1234096 458.10
## - Po1     1    221129 1291579 460.02
## - U2      1    224719 1295168 460.13
## - Ineq    1    262902 1333351 461.35
## - M       1    265771 1336220 461.44
## - Ed      1    475878 1546327 467.58
## 
## Step:  AIC=452.49
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     28189 1107939 451.57
## - LF      1     33427 1113177 451.77
## - NW      1     40843 1120594 452.05
## <none>                1079750 452.49
## - Po2     1     83917 1163668 453.64
## - U1      1    103813 1183564 454.35
## - M.F     1    117202 1196952 454.82
## - Prob    1    192710 1272460 457.39
## - Po1     1    213752 1293502 458.08
## - U2      1    221568 1301319 458.33
## - M       1    257446 1337196 459.47
## - Ineq    1    257579 1337330 459.48
## - Ed      1    489313 1569063 466.19
## 
## Step:  AIC=451.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     31520 1139459 450.75
## - NW    1     36878 1144817 450.95
## <none>              1107939 451.57
## - Po2   1     81981 1189921 452.57
## - U1    1    128759 1236698 454.19
## - M.F   1    136691 1244630 454.46
## - Prob  1    211997 1319937 456.93
## - Po1   1    227588 1335527 457.42
## - M     1    233827 1341767 457.62
## - Ineq  1    247007 1354947 458.03
## - U2    1    273075 1381014 458.83
## - Ed    1    528467 1636407 465.95
## 
## Step:  AIC=450.75
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     25492 1164951 449.68
## <none>              1139459 450.75
## - Po2   1     58557 1198016 450.86
## - U1    1    103102 1242562 452.39
## - M.F   1    105239 1244698 452.46
## - Prob  1    184217 1323677 455.05
## - Po1   1    197773 1337232 455.47
## - Ineq  1    248575 1388034 457.04
## - M     1    276493 1415953 457.88
## - U2    1    287132 1426591 458.19
## - Ed    1    507691 1647151 464.23
## 
## Step:  AIC=449.68
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     43159 1208111 449.21
## <none>              1164951 449.68
## - M.F   1     89177 1254128 450.78
## - U1    1    104743 1269694 451.30
## - Prob  1    159458 1324409 453.07
## - Po1   1    179748 1344699 453.71
## - U2    1    297460 1462411 457.23
## - M     1    379662 1544613 459.53
## - Ineq  1    448756 1613707 461.37
## - Ed    1    484829 1649780 462.30
## 
## Step:  AIC=449.21
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1208111 449.21
## - U1    1    109173 1317283 450.84
## - M.F   1    117971 1326081 451.12
## - Prob  1    162232 1370343 452.50
## - U2    1    302017 1510128 456.58
## - M     1    351360 1559471 457.93
## - Ed    1    453644 1661755 460.60
## - Ineq  1    545586 1753696 462.86
## - Po1   1   1644275 2852386 483.29
## Start:  AIC=458.08
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1        78 1069216 456.08
## - Po2     1       139 1069278 456.08
## - So      1      1457 1070595 456.13
## - LF      1      1558 1070696 456.14
## - NW      1      3454 1072593 456.21
## - Wealth  1      8481 1077620 456.41
## - Time    1     20210 1089348 456.86
## - Pop     1     37511 1106650 457.53
## - Po1     1     41400 1110539 457.67
## <none>                1069139 458.08
## - U1      1     85230 1154369 459.30
## - U2      1    233495 1302634 464.37
## - Prob    1    237597 1306735 464.51
## - M       1    240766 1309904 464.61
## - Ineq    1    308679 1377817 466.73
## - Ed      1    420064 1489202 470.00
## 
## Step:  AIC=456.08
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       153 1069369 454.09
## - So      1      1384 1070601 454.13
## - LF      1      2525 1071742 454.18
## - NW      1      3747 1072964 454.23
## - Wealth  1      8409 1077625 454.41
## - Time    1     20406 1089623 454.87
## - Po1     1     41349 1110565 455.67
## - Pop     1     44468 1113684 455.79
## <none>                1069216 456.08
## - U1      1    113659 1182876 458.32
## - U2      1    235459 1304676 462.44
## - Prob    1    238982 1308198 462.55
## - M       1    273850 1343067 463.66
## - Ineq    1    315966 1385182 464.95
## - Ed      1    427115 1496331 468.20
## 
## Step:  AIC=454.09
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1511 1070881 452.15
## - LF      1      2377 1071746 452.18
## - NW      1      3664 1073033 452.23
## - Wealth  1      8256 1077625 452.41
## - Time    1     21975 1091344 452.94
## - Pop     1     44925 1114294 453.81
## <none>                1069369 454.09
## - U1      1    113582 1182951 456.33
## - U2      1    236439 1305808 460.48
## - Prob    1    249402 1318771 460.89
## - M       1    277259 1346628 461.77
## - Ineq    1    315906 1385275 462.96
## - Ed      1    439172 1508541 466.54
## - Po1     1    916622 1985991 478.09
## 
## Step:  AIC=452.15
## .outcome ~ M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      5758 1076638 450.37
## - NW      1      7138 1078018 450.42
## - Wealth  1     10419 1081300 450.55
## - Time    1     25503 1096384 451.13
## - Pop     1     47591 1118472 451.97
## <none>                1070881 452.15
## - U1      1    141776 1212657 455.37
## - Prob    1    247893 1318774 458.89
## - U2      1    259165 1330046 459.25
## - M       1    289457 1360337 460.19
## - Ineq    1    417269 1488149 463.97
## - Ed      1    447967 1518848 464.82
## - Po1     1    918199 1989080 476.15
## 
## Step:  AIC=450.37
## .outcome ~ M + Ed + Po1 + Pop + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      6387 1083025 448.62
## - Wealth  1      9473 1086111 448.74
## - Time    1     24636 1101274 449.32
## - Pop     1     44749 1121388 450.08
## <none>                1076638 450.37
## - U1      1    137256 1213894 453.41
## - Prob    1    242739 1319377 456.91
## - U2      1    269984 1346622 457.77
## - M       1    292274 1368913 458.46
## - Ineq    1    411699 1488337 461.97
## - Ed      1    487282 1563920 464.05
## - Po1     1    935021 2011660 474.63
## 
## Step:  AIC=448.62
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      7703 1090728 446.92
## - Time    1     20105 1103130 447.39
## - Pop     1     42062 1125087 448.22
## <none>                1083025 448.62
## - U1      1    145142 1228166 451.90
## - Prob    1    252798 1335823 455.43
## - U2      1    278794 1361819 456.24
## - M       1    369459 1452484 458.95
## - Ineq    1    449456 1532480 461.20
## - Ed      1    481477 1564501 462.07
## - Po1     1   1137790 2220815 476.78
## 
## Step:  AIC=446.92
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     21197 1111925 445.73
## - Pop   1     41719 1132446 446.49
## <none>              1090728 446.92
## - U1    1    163212 1253940 450.77
## - Prob  1    289579 1380306 454.81
## - U2    1    309938 1400666 455.42
## - M     1    361842 1452570 456.95
## - Ed    1    550062 1640789 462.07
## - Ineq  1    593679 1684407 463.17
## - Po1   1   1488945 2579672 481.07
## 
## Step:  AIC=445.73
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1111925 445.73
## - Pop   1     72469 1184394 446.38
## - U1    1    144876 1256801 448.87
## - U2    1    291746 1403671 453.51
## - Prob  1    306603 1418527 453.95
## - M     1    342201 1454126 454.99
## - Ineq  1    601062 1712987 461.88
## - Ed    1    613044 1724969 462.17
## - Po1   1   1592736 2704660 481.06
## Start:  AIC=468.66
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       703 1106454 466.69
## - Time    1      3396 1109148 466.79
## - So      1      6156 1111907 466.90
## <none>                1105751 468.66
## - NW      1     53934 1159685 468.71
## - Po2     1     56664 1162415 468.81
## - LF      1     96531 1202282 470.26
## - Wealth  1    112117 1217869 470.81
## - Po1     1    145598 1251349 471.98
## - M.F     1    158095 1263847 472.40
## - Prob    1    180803 1286554 473.17
## - M       1    213771 1319522 474.26
## - U1      1    233787 1339538 474.91
## - U2      1    235074 1340825 474.95
## - Ed      1    398567 1504319 479.89
## - Ineq    1    462711 1568462 481.69
## 
## Step:  AIC=466.69
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      2901 1109355 464.80
## - So      1      5853 1112307 464.91
## <none>                1106454 466.69
## - NW      1     53236 1159690 466.71
## - Po2     1     55970 1162424 466.81
## - LF      1    101511 1207965 468.46
## - Wealth  1    112268 1218722 468.84
## - Po1     1    146122 1252576 470.02
## - Prob    1    182012 1288466 471.23
## - M.F     1    196370 1302824 471.71
## - M       1    216270 1322724 472.36
## - U2      1    234522 1340976 472.95
## - U1      1    251108 1357562 473.48
## - Ed      1    398220 1504674 477.90
## - Ineq    1    505477 1611931 480.86
## 
## Step:  AIC=464.8
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5109 1114464 463.00
## - NW      1     50399 1159754 464.71
## <none>                1109355 464.80
## - Po2     1     53832 1163187 464.84
## - LF      1    102525 1211880 466.60
## - Wealth  1    109999 1219354 466.86
## - Po1     1    148343 1257698 468.19
## - M       1    213382 1322737 470.36
## - U2      1    232112 1341467 470.97
## - Prob    1    232995 1342350 471.00
## - M.F     1    235644 1344999 471.08
## - U1      1    250964 1360319 471.57
## - Ed      1    401358 1510712 476.08
## - Ineq    1    504463 1613817 478.92
## 
## Step:  AIC=463
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     45721 1160185 462.72
## - Po2     1     52336 1166800 462.97
## <none>                1114464 463.00
## - Wealth  1    104985 1219449 464.87
## - LF      1    107617 1222081 464.96
## - Po1     1    148231 1262696 466.37
## - M       1    208423 1322888 468.37
## - U2      1    229104 1343568 469.03
## - M.F     1    233435 1347899 469.17
## - U1      1    268951 1383415 470.29
## - Prob    1    274577 1389041 470.47
## - Ed      1    397565 1512029 474.11
## - Ineq    1    543960 1658424 478.09
## 
## Step:  AIC=462.72
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     33737 1193923 461.96
## <none>                1160185 462.72
## - LF      1     81125 1241310 463.63
## - Wealth  1     86034 1246220 463.80
## - Po1     1    129809 1289995 465.28
## - M.F     1    191403 1351589 467.29
## - Prob    1    229139 1389325 468.47
## - U2      1    252182 1412368 469.18
## - U1      1    252563 1412748 469.19
## - M       1    358437 1518623 472.30
## - Ed      1    366133 1526318 472.52
## - Ineq    1    650122 1810308 479.86
## 
## Step:  AIC=461.96
## .outcome ~ M + Ed + Po1 + LF + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1193923 461.96
## - LF      1     57620 1251543 461.98
## - Wealth  1     85863 1279786 462.94
## - M.F     1    186676 1380599 466.20
## - Prob    1    226991 1420914 467.44
## - U1      1    238502 1432425 467.79
## - U2      1    260245 1454168 468.44
## - Ed      1    337459 1531382 470.66
## - M       1    353644 1547567 471.11
## - Ineq    1    677578 1871500 479.29
## - Po1     1    869639 2063562 483.49
## Start:  AIC=474.04
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       632 1253942 472.07
## - LF      1      1100 1254410 472.08
## - Time    1      2010 1255320 472.11
## - Po2     1      8908 1262218 472.35
## - Wealth  1     18281 1271591 472.67
## - NW      1     20158 1273468 472.73
## - Pop     1     32379 1285689 473.14
## - M.F     1     53655 1306965 473.85
## - Po1     1     57446 1310757 473.97
## <none>                1253310 474.04
## - M       1     97687 1350998 475.27
## - U1      1    104713 1358024 475.49
## - Prob    1    167990 1421300 477.45
## - U2      1    203371 1456681 478.51
## - Ineq    1    266128 1519439 480.32
## - Ed      1    289890 1543200 480.99
## 
## Step:  AIC=472.07
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      2350 1256293 470.15
## - LF      1      2848 1256790 470.16
## - Po2     1      9497 1263439 470.39
## - Wealth  1     21506 1275448 470.80
## - NW      1     28801 1282744 471.04
## - Pop     1     32219 1286161 471.16
## - M.F     1     56371 1310314 471.96
## - Po1     1     58370 1312312 472.02
## <none>                1253942 472.07
## - M       1     99670 1353612 473.35
## - U1      1    128746 1382689 474.27
## - Prob    1    168261 1422204 475.48
## - U2      1    218335 1472277 476.97
## - Ed      1    292780 1546722 479.09
## - Ineq    1    321479 1575422 479.88
## 
## Step:  AIC=470.15
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      2743 1259036 468.24
## - Po2     1      7407 1263700 468.40
## - Wealth  1     20260 1276553 468.83
## - NW      1     26513 1282806 469.04
## - Pop     1     38629 1294922 469.45
## - Po1     1     56732 1313025 470.05
## <none>                1256293 470.15
## - M.F     1     65274 1321566 470.32
## - M       1     97517 1353809 471.36
## - U1      1    128747 1385039 472.34
## - U2      1    219103 1475396 475.06
## - Prob    1    225476 1481769 475.24
## - Ed      1    292705 1548997 477.15
## - Ineq    1    322529 1578822 477.97
## 
## Step:  AIC=468.24
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      5260 1264296 466.42
## - Wealth  1     19389 1278425 466.90
## - NW      1     24331 1283367 467.06
## - Pop     1     42116 1301152 467.66
## - Po1     1     54233 1313269 468.05
## <none>                1259036 468.24
## - M.F     1     65360 1324396 468.42
## - M       1    109578 1368614 469.83
## - U1      1    128165 1387201 470.41
## - U2      1    223631 1482667 473.27
## - Prob    1    226726 1485762 473.36
## - Ed      1    304822 1563859 475.56
## - Ineq    1    320638 1579674 476.00
## 
## Step:  AIC=466.42
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     18363 1282659 465.04
## - NW      1     21623 1285919 465.15
## - Pop     1     37607 1301904 465.68
## <none>                1264296 466.42
## - M.F     1     88842 1353138 467.34
## - M       1    111740 1376037 468.06
## - U1      1    142388 1406685 469.01
## - Prob    1    222858 1487155 471.40
## - U2      1    249313 1513609 472.16
## - Ed      1    300402 1564699 473.59
## - Ineq    1    323451 1587747 474.21
## - Po1     1    536492 1800789 479.63
## 
## Step:  AIC=465.04
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     19082 1301741 463.67
## - Pop   1     32485 1315144 464.12
## <none>              1282659 465.04
## - M     1    100244 1382903 466.28
## - M.F   1    112369 1395028 466.65
## - U1    1    177174 1459833 468.60
## - Prob  1    250320 1532979 470.71
## - U2    1    299227 1581886 472.06
## - Ed    1    334552 1617211 473.01
## - Ineq  1    362467 1645126 473.74
## - Po1   1    656920 1939579 480.82
## 
## Step:  AIC=463.67
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     30560 1332302 462.67
## <none>              1301741 463.67
## - M.F   1     96531 1398272 464.75
## - U1    1    168932 1470674 466.92
## - M     1    178374 1480115 467.20
## - Prob  1    231662 1533403 468.72
## - U2    1    294440 1596181 470.44
## - Ed    1    326187 1627929 471.29
## - Ineq  1    539951 1841693 476.59
## - Po1   1    919892 2221634 484.66
## 
## Step:  AIC=462.67
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1332302 462.67
## - U1    1    187861 1520162 466.34
## - M.F   1    190779 1523081 466.43
## - Prob  1    204858 1537160 466.82
## - M     1    214140 1546441 467.08
## - U2    1    305863 1638165 469.56
## - Ed    1    340390 1672692 470.46
## - Ineq  1    509473 1841774 474.60
## - Po1   1    973688 2305990 484.26
## Start:  AIC=462.67
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      2249 1194857 460.75
## - So      1      2374 1194982 460.75
## - Po2     1      5716 1198324 460.87
## - LF      1      5890 1198498 460.87
## - M.F     1     11154 1203762 461.06
## - Time    1     17207 1209814 461.27
## - Po1     1     28025 1220633 461.64
## - NW      1     33223 1225830 461.82
## <none>                1192608 462.67
## - U1      1     61087 1253695 462.77
## - M       1     76624 1269232 463.28
## - Wealth  1     78440 1271047 463.34
## - U2      1    106273 1298881 464.25
## - Prob    1    124728 1317336 464.85
## - Ed      1    513143 1705751 475.70
## - Ineq    1    514997 1707605 475.74
## 
## Step:  AIC=460.75
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2161 1197018 458.82
## - LF      1      4981 1199838 458.92
## - Po2     1      8802 1203659 459.05
## - M.F     1     10341 1205198 459.11
## - Time    1     15465 1210323 459.29
## - NW      1     30973 1225831 459.82
## - Po1     1     43981 1238838 460.26
## <none>                1194857 460.75
## - U1      1     62822 1257679 460.90
## - Wealth  1     77043 1271900 461.37
## - M       1     78847 1273705 461.43
## - U2      1    118694 1313551 462.72
## - Prob    1    123726 1318583 462.88
## - Ed      1    513035 1707892 473.75
## - Ineq    1    513152 1708009 473.75
## 
## Step:  AIC=458.82
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      3023 1200041 456.93
## - Po2     1      8477 1205495 457.12
## - M.F     1      9463 1206481 457.15
## - Time    1     14131 1211149 457.32
## - NW      1     29848 1226865 457.86
## - Po1     1     44258 1241276 458.35
## <none>                1197018 458.82
## - U1      1     63203 1260220 458.98
## - Wealth  1     75395 1272412 459.39
## - M       1     77310 1274328 459.45
## - U2      1    117945 1314963 460.77
## - Prob    1    132311 1329329 461.23
## - Ed      1    513399 1710417 471.81
## - Ineq    1    571274 1768292 473.21
## 
## Step:  AIC=456.93
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      6323 1206364 455.15
## - M.F     1      6610 1206651 455.16
## - Time    1     14319 1214359 455.43
## - NW      1     27823 1227863 455.89
## - Po1     1     41236 1241277 456.35
## <none>                1200041 456.93
## - U1      1     60656 1260697 457.00
## - Wealth  1     75958 1275999 457.51
## - M       1     84139 1284180 457.77
## - U2      1    118486 1318527 458.88
## - Prob    1    129943 1329983 459.25
## - Ed      1    530598 1730639 470.31
## - Ineq    1    576106 1776146 471.40
## 
## Step:  AIC=455.15
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      5902 1212266 453.35
## - Time    1     11205 1217569 453.54
## - NW      1     24907 1231271 454.01
## - U1      1     55797 1262161 455.05
## <none>                1206364 455.15
## - M       1     81943 1288307 455.91
## - Wealth  1     84027 1290390 455.98
## - U2      1    113421 1319785 456.92
## - Prob    1    123762 1330126 457.25
## - Po1     1    378494 1584858 464.61
## - Ed      1    527727 1734091 468.39
## - Ineq    1    666511 1872874 471.62
## 
## Step:  AIC=453.35
## .outcome ~ M + Ed + Po1 + NW + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     20803 1233068 452.07
## - NW      1     25729 1237994 452.24
## - U1      1     52914 1265180 453.15
## <none>                1212266 453.35
## - M       1     95918 1308184 454.55
## - U2      1    108988 1321254 454.97
## - Wealth  1    110116 1322382 455.01
## - Prob    1    134062 1346328 455.76
## - Po1     1    374384 1586650 462.66
## - Ed      1    635183 1847448 469.05
## - Ineq    1    854914 2067180 473.77
## 
## Step:  AIC=452.07
## .outcome ~ M + Ed + Po1 + NW + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     13340 1246409 450.52
## - U1      1     45862 1278930 451.60
## <none>                1233068 452.07
## - M       1     95848 1328917 453.21
## - Wealth  1     97710 1330779 453.27
## - U2      1    101518 1334586 453.39
## - Prob    1    120363 1353431 453.98
## - Po1     1    415371 1648439 462.26
## - Ed      1    706716 1939784 469.10
## - Ineq    1    853127 2086195 472.15
## 
## Step:  AIC=450.52
## .outcome ~ M + Ed + Po1 + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     59262 1305671 450.47
## <none>                1246409 450.52
## - Wealth  1     86471 1332880 451.34
## - Prob    1    110764 1357173 452.10
## - U2      1    122301 1368710 452.45
## - M       1    155344 1401752 453.45
## - Po1     1    606827 1853236 465.18
## - Ed      1    697524 1943933 467.19
## - Ineq    1    873366 2119774 470.82
## 
## Step:  AIC=450.47
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1305671 450.47
## - U2      1     69850 1375520 450.66
## - Prob    1    103412 1409083 451.67
## - Wealth  1    115092 1420762 452.02
## - M       1    154927 1460598 453.18
## - Ed      1    654605 1960275 465.54
## - Po1     1    892683 2198354 470.35
## - Ineq    1    968599 2274270 471.78
## Start:  AIC=461.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1        52 1173280 459.98
## - Pop     1      2025 1175252 460.05
## - LF      1     20187 1193414 460.70
## - So      1     33517 1206745 461.16
## - M.F     1     34899 1208127 461.21
## - Wealth  1     46834 1220062 461.62
## <none>                1173228 461.98
## - Po2     1     60144 1233372 462.08
## - U1      1     64889 1238117 462.24
## - Prob    1     86201 1259429 462.96
## - NW      1     87865 1261092 463.01
## - U2      1    146637 1319864 464.93
## - M       1    147582 1320809 464.96
## - Po1     1    155796 1329024 465.22
## - Ineq    1    322454 1495681 470.18
## - Ed      1    340446 1513673 470.68
## 
## Step:  AIC=459.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      2030 1175309 458.05
## - LF      1     20204 1193483 458.70
## - So      1     33536 1206816 459.16
## - M.F     1     36795 1210074 459.28
## - Wealth  1     49092 1222371 459.70
## <none>                1173280 459.98
## - U1      1     66238 1239518 460.29
## - Po2     1     70734 1244014 460.44
## - NW      1     89389 1262669 461.06
## - Prob    1    133717 1306997 462.51
## - U2      1    154216 1327495 463.17
## - M       1    157806 1331086 463.28
## - Po1     1    174315 1347594 463.80
## - Ineq    1    324177 1497457 468.23
## - Ed      1    345858 1519138 468.83
## 
## Step:  AIC=458.05
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     20634 1195944 456.78
## - So      1     33993 1209302 457.25
## - M.F     1     48104 1223414 457.74
## - Wealth  1     48526 1223836 457.75
## <none>                1175309 458.05
## - U1      1     69834 1245144 458.48
## - Po2     1     75736 1251046 458.68
## - NW      1     91884 1267193 459.22
## - Prob    1    131925 1307234 460.52
## - M       1    159446 1334755 461.40
## - U2      1    161792 1337101 461.47
## - Po1     1    175085 1350395 461.89
## - Ed      1    345679 1520989 466.88
## - Ineq    1    348073 1523383 466.95
## 
## Step:  AIC=456.78
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     18268 1214212 455.42
## - M.F     1     28020 1223963 455.76
## - Wealth  1     48814 1244758 456.46
## - U1      1     50582 1246526 456.52
## <none>                1195944 456.78
## - Po2     1     62934 1258878 456.94
## - NW      1     72686 1268629 457.26
## - Prob    1    123571 1319515 458.91
## - Po1     1    159439 1355382 460.04
## - U2      1    168868 1364811 460.33
## - M       1    195322 1391265 461.14
## - Ineq    1    327693 1523636 464.96
## - Ed      1    330873 1526817 465.04
## 
## Step:  AIC=455.42
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     34623 1248835 454.60
## - Wealth  1     35055 1249266 454.62
## - U1      1     43262 1257474 454.89
## - NW      1     55667 1269878 455.30
## <none>                1214212 455.42
## - Po2     1     63864 1278075 455.57
## - U2      1    152923 1367134 458.40
## - Po1     1    167885 1382097 458.86
## - M       1    178110 1392322 459.17
## - Prob    1    203760 1417971 459.94
## - Ineq    1    312512 1526724 463.04
## - Ed      1    362632 1576844 464.40
## 
## Step:  AIC=454.6
## .outcome ~ M + Ed + Po1 + Po2 + NW + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     19111 1267946 453.24
## - Wealth  1     45657 1294492 454.11
## - NW      1     49663 1298498 454.24
## <none>                1248835 454.60
## - Po2     1     92530 1341365 455.60
## - U2      1    132172 1381007 456.83
## - Prob    1    193222 1442057 458.64
## - Po1     1    218989 1467824 459.39
## - M       1    235466 1484301 459.86
## - Ineq    1    364114 1612949 463.35
## - Ed      1    502988 1751823 466.82
## 
## Step:  AIC=453.24
## .outcome ~ M + Ed + Po1 + Po2 + NW + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     53817 1321763 452.99
## <none>                1267946 453.24
## - Wealth  1     62364 1330310 453.26
## - Po2     1     86691 1354637 454.02
## - U2      1    190532 1458479 457.12
## - Prob    1    193008 1460954 457.19
## - Po1     1    215026 1482972 457.82
## - M       1    237288 1505234 458.45
## - Ineq    1    399715 1667661 462.75
## - Ed      1    513211 1781157 465.51
## 
## Step:  AIC=452.99
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     52899 1374662 452.63
## <none>                1321763 452.99
## - Wealth  1     74078 1395841 453.28
## - Prob    1    148068 1469830 455.45
## - U2      1    168388 1490151 456.02
## - Po1     1    175527 1497290 456.22
## - M       1    457042 1778805 463.46
## - Ed      1    459775 1781538 463.52
## - Ineq    1    645378 1967140 467.69
## 
## Step:  AIC=452.63
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1374662 452.63
## - Wealth  1     73210 1447872 452.81
## - Prob    1    145914 1520576 454.87
## - U2      1    157637 1532299 455.19
## - M       1    473813 1848474 463.07
## - Ed      1    477694 1852355 463.16
## - Ineq    1    761587 2136249 469.15
## - Po1     1    906605 2281267 471.91
## Start:  AIC=468.33
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       476 1097881 466.35
## - Time    1      5726 1103132 466.56
## - M.F     1      6382 1103787 466.58
## - Wealth  1     12875 1110280 466.83
## - So      1     16376 1113781 466.97
## - U1      1     18963 1116368 467.07
## - Po1     1     19822 1117227 467.10
## - Pop     1     27791 1125196 467.41
## - LF      1     43296 1140701 468.00
## - NW      1     48167 1145572 468.18
## <none>                1097405 468.33
## - U2      1    144145 1241550 471.64
## - Ed      1    166581 1263986 472.41
## - M       1    223411 1320816 474.30
## - Prob    1    320562 1417968 477.35
## - Ineq    1    322973 1420378 477.43
## 
## Step:  AIC=466.35
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      6678 1104559 464.61
## - Time    1      8008 1105889 464.66
## - Wealth  1     12982 1110864 464.86
## - So      1     15922 1113803 464.97
## - U1      1     21807 1119688 465.20
## - Pop     1     27322 1125203 465.41
## - LF      1     48660 1146542 466.22
## <none>                1097881 466.35
## - NW      1     53314 1151195 466.39
## - U2      1    144385 1242266 469.66
## - Ed      1    184906 1282787 471.04
## - M       1    229058 1326939 472.50
## - Ineq    1    322503 1420384 475.43
## - Prob    1    324636 1422517 475.49
## - Po1     1    607149 1705031 483.28
## 
## Step:  AIC=464.61
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     13256 1117814 463.12
## - Wealth  1     14784 1119342 463.18
## - U1      1     15130 1119689 463.20
## - So      1     22057 1126616 463.46
## - Pop     1     44777 1149335 464.32
## - NW      1     49119 1153677 464.48
## <none>                1104559 464.61
## - LF      1    120885 1225444 467.08
## - U2      1    138677 1243236 467.70
## - Ed      1    179606 1284165 469.09
## - Ineq    1    326355 1430913 473.74
## - Prob    1    333919 1438478 473.97
## - M       1    343231 1447790 474.25
## - Po1     1    716978 1821537 484.12
## 
## Step:  AIC=463.12
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      8434 1126248 461.45
## - Wealth  1     16590 1134404 461.76
## - So      1     30925 1148739 462.30
## - NW      1     38179 1155994 462.57
## <none>                1117814 463.12
## - Pop     1     77004 1194819 463.99
## - LF      1    120631 1238446 465.53
## - U2      1    125840 1243654 465.71
## - Ed      1    191396 1309211 467.92
## - M       1    330252 1448066 472.26
## - Ineq    1    343043 1460858 472.63
## - Prob    1    364086 1481900 473.25
## - Po1     1    888407 2006221 486.27
## 
## Step:  AIC=461.45
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     19499 1145747 460.19
## - NW      1     39230 1165478 460.92
## - So      1     52827 1179075 461.42
## <none>                1126248 461.45
## - Pop     1     72418 1198667 462.13
## - LF      1    145419 1271667 464.67
## - Ed      1    189452 1315700 466.13
## - U2      1    238709 1364957 467.71
## - M       1    324059 1450307 470.32
## - Ineq    1    336210 1462458 470.68
## - Prob    1    374373 1500621 471.79
## - Po1     1   1003180 2129428 486.84
## 
## Step:  AIC=460.19
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     33140 1178887 459.41
## <none>              1145747 460.19
## - Pop   1     65502 1211249 460.58
## - So    1     69951 1215698 460.73
## - LF    1    175762 1321509 464.32
## - Ed    1    214595 1360342 465.57
## - U2    1    281349 1427096 467.63
## - M     1    311842 1457589 468.54
## - Ineq  1    365419 1511165 470.09
## - Prob  1    497131 1642878 473.68
## - Po1   1   1319284 2465031 491.13
## 
## Step:  AIC=459.41
## .outcome ~ So + M + Ed + Po1 + LF + Pop + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     52613 1231500 459.29
## <none>              1178887 459.41
## - So    1    112210 1291097 461.32
## - LF    1    171075 1349962 463.24
## - Ed    1    194910 1373798 463.99
## - U2    1    282623 1461510 466.65
## - M     1    375614 1554502 469.31
## - Ineq  1    405886 1584773 470.13
## - Prob  1    471586 1650473 471.88
## - Po1   1   1714654 2893541 496.02
## 
## Step:  AIC=459.29
## .outcome ~ So + M + Ed + Po1 + LF + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1231500 459.29
## - So    1    110243 1341744 460.98
## - LF    1    180338 1411839 463.17
## - Ed    1    232568 1464068 464.73
## - U2    1    287472 1518972 466.31
## - Ineq  1    368008 1599508 468.53
## - Prob  1    432203 1663703 470.22
## - M     1    452929 1684429 470.76
## - Po1   1   1885899 3117399 497.23
## Start:  AIC=470.95
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       790 1167025 468.98
## - LF      1      1657 1167892 469.01
## - So      1      2176 1168411 469.03
## - Time    1     12550 1178785 469.41
## - M.F     1     14281 1180516 469.47
## - Pop     1     24934 1191169 469.86
## - U1      1     33613 1199849 470.17
## <none>                1166235 470.95
## - Po2     1     65749 1231984 471.31
## - Wealth  1     72138 1238373 471.53
## - U2      1     99278 1265513 472.46
## - M       1    116447 1282682 473.04
## - Prob    1    170678 1336913 474.82
## - Ed      1    185625 1351860 475.30
## - Po1     1    199624 1365859 475.74
## - Ineq    1    442681 1608916 482.78
## 
## Step:  AIC=468.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      1043 1168069 467.02
## - So      1      3787 1170813 467.12
## - Time    1     12429 1179455 467.43
## - M.F     1     13548 1180573 467.47
## - Pop     1     26736 1193762 467.95
## - U1      1     34344 1201369 468.22
## <none>                1167025 468.98
## - Po2     1     68194 1235219 469.42
## - Wealth  1     71351 1238376 469.53
## - U2      1     98507 1265533 470.46
## - M       1    133764 1300789 471.64
## - Ed      1    187091 1354116 473.37
## - Prob    1    194708 1361734 473.61
## - Po1     1    203135 1370160 473.88
## - Ineq    1    483456 1650481 481.88
## 
## Step:  AIC=467.02
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5150 1173219 465.20
## - Time    1     12590 1180658 465.48
## - M.F     1     13026 1181095 465.49
## - Pop     1     28071 1196140 466.04
## - U1      1     34883 1202952 466.28
## <none>                1168069 467.02
## - Po2     1     67510 1235578 467.43
## - Wealth  1     70324 1238392 467.53
## - U2      1     97521 1265590 468.46
## - M       1    135376 1303445 469.73
## - Prob    1    194278 1362347 471.63
## - Ed      1    197819 1365888 471.74
## - Po1     1    203275 1371343 471.91
## - Ineq    1    498118 1666187 480.29
## 
## Step:  AIC=465.2
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     12961 1186180 463.68
## - Time    1     13097 1186316 463.68
## - Pop     1     25719 1198938 464.14
## - U1      1     45413 1218633 464.84
## <none>                1173219 465.20
## - Po2     1     62778 1235997 465.45
## - Wealth  1     67143 1240362 465.60
## - U2      1    109802 1283021 467.05
## - M       1    181798 1355017 469.40
## - Ed      1    192674 1365893 469.74
## - Po1     1    198250 1371469 469.92
## - Prob    1    204997 1378216 470.13
## - Ineq    1    569990 1743209 480.23
## 
## Step:  AIC=463.68
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     18723 1204903 462.35
## - U1      1     32855 1219035 462.85
## - Pop     1     52112 1238292 463.53
## <none>                1186180 463.68
## - Po2     1     82662 1268842 464.57
## - Wealth  1     91709 1277889 464.88
## - U2      1     99981 1286161 465.16
## - M       1    214004 1400184 468.81
## - Prob    1    228052 1414232 469.24
## - Po1     1    242506 1428686 469.68
## - Ed      1    249794 1435974 469.89
## - Ineq    1    756863 1943043 482.90
## 
## Step:  AIC=462.35
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     21505 1226409 461.11
## <none>                1204903 462.35
## - Po2     1     67295 1272199 462.69
## - U2      1     91373 1296276 463.49
## - Wealth  1     95635 1300539 463.63
## - Pop     1     97164 1302068 463.69
## - M       1    196763 1401666 466.85
## - Po1     1    223894 1428797 467.68
## - Prob    1    230025 1434928 467.86
## - Ed      1    304324 1509227 470.03
## - Ineq    1    834032 2038936 482.97
## 
## Step:  AIC=461.11
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1226409 461.11
## - Po2     1     65853 1292262 461.36
## - Pop     1     88501 1314910 462.11
## - U2      1     98360 1324768 462.43
## - Wealth  1    112535 1338944 462.89
## - M       1    192357 1418765 465.38
## - Prob    1    229533 1455942 466.49
## - Po1     1    229538 1455947 466.49
## - Ed      1    289073 1515482 468.21
## - Ineq    1    897799 2124208 482.73
## Start:  AIC=452.68
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1        26  940234 450.68
## - M.F     1      1786  941994 450.76
## - Wealth  1      2822  943030 450.81
## - LF      1      6898  947106 450.99
## - So      1     13153  953361 451.26
## - Pop     1     14773  954981 451.33
## - U1      1     42491  982698 452.54
## <none>                 940208 452.68
## - Time    1     87461 1027669 454.42
## - Po2     1    103836 1044044 455.08
## - U2      1    162473 1102681 457.37
## - Po1     1    252223 1192430 460.66
## - Prob    1    254311 1194519 460.73
## - M       1    327711 1267919 463.24
## - Ineq    1    339943 1280151 463.64
## - Ed      1    381672 1321879 464.99
## 
## Step:  AIC=450.68
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      1809  942043 448.76
## - Wealth  1      3097  943330 448.82
## - LF      1      7686  947920 449.02
## - Pop     1     15067  955301 449.35
## - So      1     15562  955796 449.37
## - U1      1     42548  982781 450.54
## <none>                 940234 450.68
## - Time    1     89420 1029654 452.50
## - Po2     1    109534 1049768 453.31
## - U2      1    164734 1104968 455.46
## - Po1     1    257311 1197545 458.84
## - Prob    1    268793 1209027 459.24
## - Ineq    1    343471 1283705 461.76
## - M       1    372221 1312455 462.69
## - Ed      1    397155 1337389 463.48
## 
## Step:  AIC=448.76
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      3752  945794 446.93
## - LF      1      5878  947921 447.02
## - So      1     17953  959996 447.55
## - Pop     1     24193  966236 447.83
## - U1      1     43505  985547 448.66
## <none>                 942043 448.76
## - Time    1     99777 1041820 450.99
## - Po2     1    121075 1063118 451.84
## - U2      1    162947 1104990 453.46
## - Prob    1    273303 1215346 457.46
## - Po1     1    289545 1231587 458.02
## - Ineq    1    370881 1312924 460.70
## - M       1    434202 1376245 462.68
## - Ed      1    476051 1418094 463.94
## 
## Step:  AIC=446.93
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      4816  950610 445.14
## - So    1     22517  968311 445.92
## - Pop   1     23338  969132 445.95
## - U1    1     43262  989057 446.81
## <none>               945794 446.93
## - Time  1    101290 1047085 449.20
## - Po2   1    125258 1071052 450.15
## - U2    1    167431 1113226 451.77
## - Prob  1    303615 1249409 456.62
## - Po1   1    307624 1253419 456.76
## - M     1    433478 1379272 460.77
## - Ed    1    513996 1459790 463.16
## - Ineq  1    542035 1487829 463.96
## 
## Step:  AIC=445.14
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     22973  973583 444.14
## - So    1     32485  983095 444.55
## - U1    1     38869  989480 444.83
## <none>               950610 445.14
## - Time  1     96610 1047220 447.21
## - Po2   1    124015 1074626 448.29
## - U2    1    166613 1117223 449.92
## - Prob  1    298849 1249460 454.62
## - Po1   1    321144 1271754 455.37
## - M     1    428799 1379410 458.78
## - Ineq  1    575958 1526569 463.04
## - Ed    1    583134 1533745 463.23
## 
## Step:  AIC=444.14
## .outcome ~ So + M + Ed + Po1 + Po2 + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     38672 1012256 443.78
## - So    1     42992 1016576 443.96
## <none>               973583 444.14
## - Po2   1    153049 1126633 448.28
## - U2    1    161794 1135378 448.60
## - Time  1    166536 1140119 448.78
## - Prob  1    327315 1300898 454.32
## - Po1   1    345767 1319351 454.91
## - M     1    505672 1479255 459.71
## - Ineq  1    552987 1526570 461.04
## - Ed    1    631552 1605136 463.14
## 
## Step:  AIC=443.78
## .outcome ~ So + M + Ed + Po1 + Po2 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1012256 443.78
## - So    1     69602 1081857 444.57
## - Time  1    139261 1151517 447.19
## - Po2   1    139710 1151965 447.21
## - U2    1    221606 1233861 450.10
## - Prob  1    329442 1341698 453.61
## - Po1   1    338526 1350781 453.90
## - M     1    476373 1488628 457.98
## - Ineq  1    527123 1539378 459.39
## - Ed    1    595255 1607511 461.21
## Start:  AIC=452.75
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1622 1175388 450.80
## - So      1      1873 1175639 450.81
## - Time    1      3382 1177148 450.87
## - NW      1      7792 1181557 451.02
## - Wealth  1     14046 1187812 451.24
## - Po2     1     16590 1190356 451.32
## - LF      1     24066 1197832 451.58
## - M.F     1     35703 1209469 451.98
## - U1      1     50159 1223925 452.46
## <none>                1173766 452.75
## - U2      1     74812 1248578 453.28
## - M       1    102010 1275776 454.17
## - Po1     1    115713 1289479 454.60
## - Prob    1    154240 1328005 455.81
## - Ed      1    291739 1465505 459.85
## - Ineq    1    352203 1525969 461.51
## 
## Step:  AIC=450.8
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1714 1177102 448.86
## - Time    1      4128 1179515 448.95
## - NW      1      7445 1182833 449.06
## - Wealth  1     12674 1188061 449.24
## - Po2     1     16637 1192025 449.38
## - LF      1     25408 1200795 449.68
## - M.F     1     47972 1223360 450.45
## - U1      1     52748 1228136 450.60
## <none>                1175388 450.80
## - U2      1     74437 1249824 451.32
## - M       1    103006 1278394 452.25
## - Po1     1    114608 1289995 452.62
## - Prob    1    152877 1328265 453.82
## - Ed      1    290938 1466326 457.87
## - Ineq    1    367693 1543080 459.96
## 
## Step:  AIC=448.86
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      3491 1180593 446.99
## - NW      1      5776 1182878 447.07
## - Wealth  1     11052 1188154 447.25
## - Po2     1     15988 1193090 447.42
## - LF      1     26003 1203105 447.76
## - M.F     1     46268 1223370 448.45
## - U1      1     52242 1229344 448.65
## <none>                1177102 448.86
## - U2      1     72737 1249839 449.32
## - M       1    101292 1278394 450.25
## - Po1     1    113859 1290961 450.65
## - Prob    1    159901 1337003 452.09
## - Ed      1    289466 1466568 455.88
## - Ineq    1    438803 1615904 459.86
## 
## Step:  AIC=446.99
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      3633 1184226 445.11
## - Wealth  1      9162 1189755 445.30
## - Po2     1     12743 1193336 445.43
## - LF      1     26316 1206909 445.89
## - U1      1     50135 1230729 446.69
## - M.F     1     58307 1238900 446.96
## <none>                1180593 446.99
## - U2      1     70323 1250916 447.36
## - M       1     98066 1278659 448.26
## - Po1     1    112370 1292963 448.71
## - Prob    1    215100 1395693 451.85
## - Ed      1    294752 1475345 454.12
## - Ineq    1    442510 1623103 458.04
## 
## Step:  AIC=445.11
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      7862 1192088 443.38
## - Po2     1     10723 1194950 443.48
## - LF      1     23886 1208112 443.93
## - U1      1     49442 1233669 444.79
## - M.F     1     54674 1238900 444.96
## <none>                1184226 445.11
## - U2      1     73699 1257925 445.59
## - Po1     1    109846 1294073 446.75
## - M       1    132596 1316823 447.46
## - Prob    1    219174 1403400 450.07
## - Ed      1    291149 1475376 452.12
## - Ineq    1    512895 1697121 457.87
## 
## Step:  AIC=443.38
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     11354 1203443 441.77
## - LF    1     22009 1214097 442.13
## - M.F   1     58646 1250734 443.35
## <none>              1192088 443.38
## - U1    1     61309 1253397 443.44
## - U2    1     91756 1283844 444.42
## - Po1   1    119162 1311250 445.29
## - M     1    124759 1316847 445.46
## - Prob  1    242374 1434462 448.97
## - Ed    1    319688 1511776 451.12
## - Ineq  1    712986 1905074 460.60
## 
## Step:  AIC=441.77
## .outcome ~ M + Ed + Po1 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     16839 1220282 440.34
## - U1    1     56807 1260250 441.66
## - M.F   1     59398 1262840 441.75
## <none>              1203443 441.77
## - U2    1     90567 1294009 442.75
## - M     1    123641 1327084 443.78
## - Prob  1    242380 1445823 447.30
## - Ed    1    309011 1512454 449.14
## - Ineq  1    721928 1925370 459.04
## - Po1   1   1559781 2763224 473.85
## 
## Step:  AIC=440.34
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     42686 1262968 439.75
## - U1    1     46688 1266970 439.88
## <none>              1220282 440.34
## - U2    1     98779 1319061 441.53
## - M     1    145185 1365466 442.95
## - Prob  1    225682 1445964 445.30
## - Ed    1    292529 1512811 447.15
## - Ineq  1    705179 1925461 457.04
## - Po1   1   1575332 2795613 472.33
## 
## Step:  AIC=439.75
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     16703 1279671 438.29
## <none>              1262968 439.75
## - U2    1     68559 1331526 439.92
## - M     1    183516 1446483 443.31
## - Prob  1    220895 1483863 444.36
## - Ed    1    413512 1676480 449.36
## - Ineq  1    826802 2089769 458.40
## - Po1   1   1828398 3091366 474.45
## 
## Step:  AIC=438.29
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1279671 438.29
## - U2    1     75996 1355667 438.66
## - M     1    182079 1461750 441.74
## - Prob  1    234000 1513671 443.18
## - Ed    1    418817 1698489 447.90
## - Ineq  1    853416 2133087 457.24
## - Po1   1   2973225 4252897 485.53
## Start:  AIC=472.23
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1900 1203490 470.30
## - So      1      5843 1207433 470.44
## - Wealth  1     13723 1215313 470.72
## - Pop     1     16441 1218031 470.82
## - Po2     1     28230 1229820 471.23
## - LF      1     28452 1230041 471.24
## - NW      1     42701 1244291 471.73
## - M.F     1     54793 1256382 472.15
## <none>                1201590 472.23
## - U1      1     92789 1294378 473.43
## - Prob    1    100538 1302127 473.69
## - M       1    109926 1311516 474.00
## - Po1     1    121720 1323309 474.38
## - U2      1    167219 1368808 475.83
## - Ineq    1    397135 1598725 482.51
## - Ed      1    434577 1636167 483.51
## 
## Step:  AIC=470.3
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5799 1209289 468.51
## - Pop     1     14681 1218170 468.82
## - Wealth  1     16136 1219625 468.87
## - LF      1     28027 1231517 469.29
## - Po2     1     37774 1241264 469.63
## - NW      1     44063 1247553 469.85
## - M.F     1     52944 1256433 470.15
## <none>                1203490 470.30
## - U1      1     96174 1299664 471.61
## - M       1    123715 1327204 472.51
## - Po1     1    143120 1346609 473.13
## - U2      1    173510 1377000 474.09
## - Prob    1    190937 1394426 474.63
## - Ineq    1    396188 1599678 480.54
## - Ed      1    433820 1637310 481.54
## 
## Step:  AIC=468.51
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     13369 1222658 466.98
## - Wealth  1     13656 1222945 466.99
## - LF      1     22534 1231823 467.30
## - Po2     1     35276 1244565 467.74
## - NW      1     39652 1248941 467.89
## - M.F     1     47864 1257153 468.18
## <none>                1209289 468.51
## - U1      1     93346 1302634 469.70
## - M       1    122362 1331651 470.65
## - Po1     1    140198 1349487 471.22
## - U2      1    168353 1377642 472.11
## - Prob    1    219983 1429272 473.69
## - Ineq    1    424634 1633923 479.45
## - Ed      1    430469 1639758 479.60
## 
## Step:  AIC=466.98
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     11167 1233825 465.37
## - LF      1     28519 1251177 465.97
## - Po2     1     32624 1255282 466.11
## - NW      1     37807 1260465 466.29
## <none>                1222658 466.98
## - M.F     1     90867 1313525 468.06
## - U1      1    108012 1330670 468.62
## - M       1    126108 1348766 469.20
## - Po1     1    130157 1352815 469.33
## - U2      1    169004 1391662 470.55
## - Prob    1    207025 1429683 471.71
## - Ineq    1    414731 1637388 477.54
## - Ed      1    429154 1651812 477.92
## 
## Step:  AIC=465.37
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     28568 1262393 464.35
## - Po2   1     33935 1267760 464.54
## - NW    1     38661 1272486 464.70
## <none>              1233825 465.37
## - M.F   1     99819 1333644 466.72
## - M     1    116764 1350589 467.26
## - U1    1    121111 1354936 467.40
## - Po1   1    142201 1376026 468.06
## - U2    1    194321 1428146 469.66
## - Prob  1    235766 1469590 470.89
## - Ed    1    483216 1717041 477.58
## - Ineq  1    508300 1742125 478.20
## 
## Step:  AIC=464.35
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     18572 1280965 462.98
## - NW    1     27204 1289597 463.27
## <none>              1262393 464.35
## - M.F   1     71332 1333725 464.72
## - U1    1     98047 1360440 465.57
## - Po1   1    117625 1380019 466.19
## - M     1    160421 1422814 467.50
## - U2    1    203610 1466003 468.78
## - Prob  1    208359 1470752 468.92
## - Ed    1    465895 1728288 475.86
## - Ineq  1    497087 1759480 476.63
## 
## Step:  AIC=462.98
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     19945 1300910 461.65
## <none>              1280965 462.98
## - M.F   1     82326 1363290 463.66
## - U1    1    102445 1383409 464.29
## - M     1    166782 1447747 466.25
## - Prob  1    205375 1486340 467.38
## - U2    1    211643 1492607 467.56
## - Ed    1    448540 1729505 473.89
## - Ineq  1    548446 1829411 476.31
## - Po1   1   1175118 2456083 488.97
## 
## Step:  AIC=461.65
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1300910 461.65
## - M.F   1     71135 1372044 461.94
## - U1    1    115372 1416282 463.30
## - Prob  1    185767 1486677 465.39
## - U2    1    236299 1537208 466.82
## - M     1    263791 1564700 467.59
## - Ed    1    430263 1731173 471.93
## - Ineq  1    733977 2034886 478.88
## - Po1   1   1624835 2925745 494.50
## Start:  AIC=476.29
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1619 1322192 474.34
## - Pop     1      9487 1330060 474.60
## - Time    1     11247 1331820 474.66
## - LF      1     11661 1332234 474.67
## - Wealth  1     17903 1338476 474.87
## - Po2     1     21375 1341948 474.98
## - NW      1     23846 1344418 475.06
## - M.F     1     38410 1358982 475.53
## <none>                1320573 476.29
## - U1      1     86105 1406678 477.01
## - Po1     1     93355 1413928 477.23
## - U2      1    172445 1493018 479.57
## - Prob    1    172612 1493185 479.57
## - M       1    198304 1518877 480.31
## - Ineq    1    421095 1741668 486.19
## - Ed      1    427727 1748300 486.36
## 
## Step:  AIC=474.34
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      9859 1332051 472.66
## - Time    1      9959 1332151 472.67
## - LF      1     10307 1332499 472.68
## - Wealth  1     16902 1339094 472.89
## - Po2     1     20408 1342600 473.00
## - NW      1     23572 1345763 473.10
## - M.F     1     36881 1359072 473.53
## <none>                1322192 474.34
## - Po1     1     92487 1414679 475.25
## - U1      1     95088 1417279 475.33
## - Prob    1    171028 1493220 477.58
## - U2      1    179781 1501973 477.83
## - M       1    196690 1518882 478.31
## - Ed      1    429793 1751985 484.45
## - Ineq    1    466457 1788648 485.34
## 
## Step:  AIC=472.66
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     13586 1345636 471.10
## - LF      1     13654 1345704 471.10
## - Time    1     17583 1349634 471.23
## - Po2     1     22275 1354326 471.38
## - NW      1     25458 1357509 471.48
## - M.F     1     61559 1393610 472.61
## <none>                1332051 472.66
## - Po1     1     90533 1422584 473.49
## - U1      1    112284 1444335 474.14
## - Prob    1    182558 1514609 476.19
## - U2      1    186036 1518086 476.29
## - M       1    204643 1536693 476.81
## - Ed      1    436879 1768930 482.86
## - Ineq    1    467566 1799616 483.60
## 
## Step:  AIC=471.1
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     13127 1358763 469.52
## - Time  1     17444 1363080 469.65
## - Po2   1     22135 1367771 469.80
## - NW    1     22892 1368528 469.83
## <none>              1345636 471.10
## - M.F   1     68614 1414251 471.24
## - Po1   1     95385 1441022 472.05
## - U1    1    133165 1478801 473.16
## - M     1    192911 1538547 474.86
## - U2    1    218935 1564572 475.58
## - Prob  1    240385 1586022 476.17
## - Ed    1    502858 1848494 482.75
## - Ineq  1    544317 1889953 483.71
## 
## Step:  AIC=469.52
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     15284 1374047 468.00
## - NW    1     18410 1377173 468.10
## - Time  1     18712 1377475 468.11
## - M.F   1     55687 1414450 469.25
## <none>              1358763 469.52
## - Po1   1     84465 1443228 470.11
## - U1    1    120044 1478807 471.16
## - Prob  1    228294 1587057 474.20
## - U2    1    233568 1592331 474.34
## - M     1    236217 1594980 474.41
## - Ed    1    506369 1865132 481.14
## - Ineq  1    534318 1893081 481.78
## 
## Step:  AIC=468
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1      8608 1382654 466.27
## - NW    1     11410 1385457 466.35
## <none>              1374047 468.00
## - M.F   1     79044 1453091 468.40
## - U1    1    116956 1491003 469.51
## - Prob  1    213469 1587516 472.21
## - U2    1    233443 1607489 472.75
## - M     1    240502 1614548 472.93
## - Ed    1    499838 1873884 479.34
## - Ineq  1    602804 1976850 481.64
## - Po1   1    857994 2232040 486.86
## 
## Step:  AIC=466.27
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      7951 1390605 464.51
## <none>              1382654 466.27
## - M.F   1    104835 1487489 467.41
## - U1    1    111830 1494485 467.61
## - U2    1    225733 1608387 470.77
## - M     1    233197 1615851 470.97
## - Prob  1    257633 1640287 471.61
## - Ed    1    504408 1887062 477.64
## - Ineq  1    599668 1982322 479.76
## - Po1   1    905809 2288463 485.93
## 
## Step:  AIC=464.51
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1390605 464.51
## - M.F   1     97202 1487807 465.42
## - U1    1    112630 1503236 465.86
## - U2    1    228941 1619546 469.07
## - Prob  1    253994 1644600 469.73
## - M     1    321146 1711752 471.45
## - Ed    1    496656 1887262 475.65
## - Ineq  1    772860 2163465 481.52
## - Po1   1   1225993 2616599 489.70
## Start:  AIC=456.24
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        88 1023480 454.24
## - Pop     1       104 1023496 454.24
## - LF      1      3211 1026604 454.37
## - M.F     1      9682 1033075 454.64
## - NW      1     10963 1034355 454.69
## - Wealth  1     19847 1043240 455.05
## - U1      1     24047 1047440 455.22
## - Po2     1     26777 1050170 455.33
## - Time    1     41208 1064601 455.90
## - U2      1     44514 1067906 456.03
## <none>                1023393 456.24
## - Ed      1     67782 1091175 456.93
## - M       1    129219 1152611 459.23
## - Po1     1    140757 1164149 459.65
## - Prob    1    203193 1226585 461.85
## - Ineq    1    235796 1259189 462.95
## 
## Step:  AIC=454.24
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       115 1023596 452.25
## - LF      1      3829 1027310 452.40
## - M.F     1     11045 1034526 452.69
## - NW      1     13552 1037032 452.80
## - Wealth  1     22317 1045797 453.15
## - Po2     1     28330 1051810 453.39
## - U1      1     29333 1052814 453.43
## - Time    1     41665 1065145 453.92
## - U2      1     45147 1068628 454.06
## <none>                1023480 454.24
## - Ed      1     70804 1094284 455.05
## - M       1    129158 1152639 457.24
## - Po1     1    145206 1168687 457.82
## - Prob    1    211068 1234548 460.12
## - Ineq    1    309953 1333433 463.36
## 
## Step:  AIC=452.25
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      4412 1028008 450.43
## - M.F     1     12503 1036098 450.76
## - NW      1     13675 1037271 450.81
## - Wealth  1     23898 1047493 451.22
## - Po2     1     28218 1051813 451.39
## - U1      1     29642 1053238 451.45
## - Time    1     41888 1065484 451.93
## - U2      1     45822 1069418 452.09
## <none>                1023596 452.25
## - Ed      1     71046 1094642 453.07
## - M       1    130062 1153658 455.27
## - Po1     1    145232 1168827 455.82
## - Prob    1    213803 1237398 458.22
## - Ineq    1    344067 1367663 462.42
## 
## Step:  AIC=450.43
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     12748 1040756 448.95
## - Wealth  1     23581 1051588 449.38
## - M.F     1     32749 1060757 449.75
## - Time    1     37753 1065760 449.94
## - U1      1     38347 1066354 449.97
## - Po2     1     41408 1069416 450.09
## - U2      1     42436 1070444 450.13
## <none>                1028008 450.43
## - Ed      1    120474 1148481 453.08
## - M       1    143113 1171120 453.90
## - Po1     1    183715 1211723 455.34
## - Prob    1    210699 1238707 456.26
## - Ineq    1    382749 1410757 461.72
## 
## Step:  AIC=448.95
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     18933 1059689 447.70
## - Time    1     27643 1068399 448.05
## - M.F     1     28506 1069262 448.08
## - Po2     1     32427 1073183 448.24
## - U1      1     34647 1075403 448.32
## - U2      1     40846 1081602 448.56
## <none>                1040756 448.95
## - Ed      1    115203 1155959 451.36
## - M       1    159859 1200615 452.95
## - Po1     1    173696 1214452 453.43
## - Prob    1    209749 1250505 454.66
## - Ineq    1    482217 1522972 462.94
## 
## Step:  AIC=447.7
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     21557 1081246 446.55
## - Po2   1     29711 1089401 446.87
## - M.F   1     37046 1096736 447.15
## - U1    1     45526 1105215 447.47
## <none>              1059689 447.70
## - U2    1     53699 1113388 447.78
## - Ed    1    135582 1195271 450.76
## - M     1    142032 1201722 450.99
## - Po1   1    178835 1238525 452.25
## - Prob  1    220097 1279786 453.63
## - Ineq  1    615951 1675641 464.95
## 
## Step:  AIC=446.55
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     16077 1097322 445.17
## - U1    1     38056 1119302 446.00
## - U2    1     47476 1128722 446.35
## <none>              1081246 446.55
## - M.F   1     62625 1143871 446.91
## - M     1    126238 1207484 449.19
## - Ed    1    152279 1233525 450.08
## - Po1   1    157323 1238569 450.26
## - Prob  1    232681 1313927 452.74
## - Ineq  1    624796 1706041 463.70
## 
## Step:  AIC=445.17
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     39419 1136742 444.65
## - U2    1     51162 1148485 445.08
## <none>              1097322 445.17
## - M.F   1     72998 1170320 445.87
## - M     1    130330 1227652 447.88
## - Ed    1    146090 1243412 448.42
## - Prob  1    242146 1339468 451.54
## - Ineq  1    658923 1756245 462.92
## - Po1   1   1848887 2946209 484.65
## 
## Step:  AIC=444.65
## .outcome ~ M + Ed + Po1 + M.F + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U2    1     12159 1148901 443.10
## - M.F   1     39013 1175754 444.07
## <none>              1136742 444.65
## - M     1    127182 1263924 447.11
## - Ed    1    132468 1269209 447.28
## - Prob  1    249848 1386590 451.00
## - Ineq  1    792910 1929652 464.88
## - Po1   1   3222891 4359633 499.11
## 
## Step:  AIC=443.1
## .outcome ~ M + Ed + Po1 + M.F + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1148901 443.10
## - M.F   1     59547 1208448 443.22
## - M     1    115671 1264572 445.13
## - Ed    1    130686 1279587 445.62
## - Prob  1    249917 1398819 449.37
## - Ineq  1    783141 1932042 462.93
## - Po1   1   3767721 4916622 502.16
## Start:  AIC=464.8
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      6574 1261382 463.02
## - LF      1      7392 1262200 463.05
## - So      1      9187 1263995 463.11
## - Pop     1     13123 1267930 463.24
## - Po2     1     24740 1279548 463.62
## - NW      1     24843 1279650 463.63
## - M.F     1     36258 1291065 464.00
## <none>                1254808 464.80
## - U1      1     72044 1326851 465.15
## - Wealth  1     88686 1343494 465.67
## - Po1     1    100573 1355381 466.04
## - Prob    1    125758 1380565 466.81
## - U2      1    151353 1406160 467.59
## - M       1    161794 1416602 467.90
## - Ed      1    242682 1497489 470.23
## - Ineq    1    492554 1747362 476.71
## 
## Step:  AIC=463.02
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      6464 1267846 461.24
## - So      1      7853 1269235 461.28
## - Pop     1     18971 1280353 461.65
## - Po2     1     19041 1280423 461.65
## - NW      1     19672 1281054 461.67
## - M.F     1     42776 1304158 462.42
## <none>                1261382 463.02
## - U1      1     67441 1328823 463.21
## - Wealth  1     86029 1347411 463.79
## - Po1     1     94190 1355572 464.05
## - Prob    1    135867 1397248 465.32
## - U2      1    146265 1407647 465.63
## - M       1    156192 1417574 465.93
## - Ed      1    244004 1505386 468.45
## - Ineq    1    498028 1759410 475.00
## 
## Step:  AIC=461.24
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      3642 1271488 459.36
## - NW      1     14482 1282329 459.71
## - Po2     1     15440 1283287 459.75
## - Pop     1     21667 1289514 459.95
## - M.F     1     37329 1305175 460.46
## - U1      1     61528 1329375 461.23
## <none>                1267846 461.24
## - Wealth  1     81664 1349510 461.86
## - Po1     1     89126 1356973 462.09
## - Prob    1    131431 1399278 463.38
## - U2      1    144415 1412262 463.77
## - M       1    168688 1436534 464.48
## - Ed      1    242516 1510363 466.59
## - Ineq    1    494609 1762455 473.07
## 
## Step:  AIC=459.36
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     11774 1283263 457.74
## - Po2     1     17593 1289081 457.93
## - Pop     1     20640 1292128 458.03
## - M.F     1     40367 1311855 458.67
## - U1      1     58805 1330293 459.26
## <none>                1271488 459.36
## - Wealth  1     79032 1350520 459.89
## - Po1     1     96653 1368142 460.43
## - U2      1    140787 1412276 461.77
## - M       1    166618 1438106 462.53
## - Prob    1    186429 1457917 463.10
## - Ed      1    266473 1537961 465.35
## - Ineq    1    545142 1816630 472.34
## 
## Step:  AIC=457.74
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     13152 1296414 456.17
## - Pop     1     18783 1302045 456.35
## - M.F     1     34450 1317713 456.86
## - U1      1     58970 1342232 457.63
## <none>                1283263 457.74
## - Wealth  1     73781 1357043 458.09
## - Po1     1     91075 1374337 458.62
## - U2      1    148648 1431911 460.35
## - Prob    1    177157 1460420 461.18
## - M       1    234539 1517802 462.79
## - Ed      1    257786 1541048 463.43
## - Ineq    1    623219 1906481 472.37
## 
## Step:  AIC=456.17
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     17801 1314215 454.75
## - M.F     1     44845 1341259 455.60
## - U1      1     60324 1356738 456.08
## <none>                1296414 456.17
## - Wealth  1     74475 1370889 456.52
## - U2      1    154912 1451327 458.91
## - Prob    1    181896 1478310 459.69
## - M       1    227264 1523678 460.96
## - Ed      1    246680 1543094 461.49
## - Ineq    1    665440 1961855 471.57
## - Po1     1    772007 2068421 473.79
## 
## Step:  AIC=454.75
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1314215 454.75
## - U1      1     66847 1381062 454.83
## - Wealth  1     70848 1385063 454.95
## - M.F     1     91227 1405441 455.56
## - U2      1    153607 1467822 457.39
## - Prob    1    165501 1479716 457.73
## - Ed      1    240802 1555017 459.81
## - M       1    244118 1558333 459.90
## - Ineq    1    661122 1975337 469.86
## - Po1     1    834285 2148500 473.39
## Start:  AIC=456.87
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      1571  842135 454.95
## - Pop     1      4480  845043 455.10
## - So      1      4766  845329 455.11
## - Wealth  1     17854  858418 455.77
## - M.F     1     32147  872710 456.48
## <none>                 840563 456.87
## - LF      1     40581  881144 456.89
## - Time    1     61407  901971 457.90
## - U1      1     84456  925020 458.98
## - Po2     1    108669  949233 460.09
## - U2      1    190372 1030936 463.65
## - Prob    1    226728 1067291 465.14
## - Po1     1    251067 1091631 466.11
## - Ineq    1    331727 1172291 469.17
## - M       1    360594 1201158 470.22
## - Ed      1    539525 1380089 476.19
## 
## Step:  AIC=454.95
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      4706  846841 453.19
## - So      1      8472  850606 453.38
## - Wealth  1     16600  858734 453.79
## - M.F     1     30916  873050 454.50
## - LF      1     39493  881628 454.92
## <none>                 842135 454.95
## - Time    1     59940  902074 455.90
## - U1      1     83965  926100 457.03
## - Po2     1    111938  954072 458.31
## - U2      1    199624 1041758 462.09
## - Prob    1    242167 1084301 463.82
## - Po1     1    254960 1097094 464.32
## - Ineq    1    351417 1193552 467.94
## - M       1    435449 1277583 470.87
## - Ed      1    546373 1388508 474.45
## 
## Step:  AIC=453.19
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      8377  855218 451.61
## - Wealth  1     15635  862475 451.97
## <none>                 846841 453.19
## - LF      1     47110  893951 453.51
## - M.F     1     50173  897013 453.66
## - Time    1     68378  915219 454.53
## - U1      1     98418  945258 455.91
## - Po2     1    115662  962502 456.69
## - U2      1    207809 1054650 460.62
## - Prob    1    241488 1088329 461.98
## - Po1     1    252792 1099633 462.42
## - Ineq    1    352877 1199718 466.17
## - M       1    449254 1296095 469.49
## - Ed      1    545460 1392300 472.57
## 
## Step:  AIC=451.61
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     22418  877636 450.72
## <none>                 855218 451.61
## - M.F     1     59963  915181 452.52
## - Time    1     67724  922942 452.89
## - LF      1     77250  932467 453.33
## - Po2     1    110094  965311 454.82
## - U1      1    146955 1002172 456.43
## - Prob    1    239681 1094899 460.23
## - Po1     1    245408 1100626 460.46
## - U2      1    252881 1108098 460.75
## - M       1    509753 1364971 469.71
## - Ed      1    541372 1396590 470.70
## - Ineq    1    544699 1399917 470.80
## 
## Step:  AIC=450.72
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               877636 450.72
## - M.F   1     57654  935290 451.46
## - Time  1     67260  944896 451.90
## - LF    1     68901  946537 451.97
## - Po2   1    116555  994191 454.08
## - U1    1    148953 1026589 455.46
## - Prob  1    272762 1150398 460.36
## - Po1   1    274026 1151663 460.41
## - U2    1    280496 1158132 460.65
## - M     1    487396 1365032 467.72
## - Ed    1    606299 1483935 471.31
## - Ineq  1    715485 1593121 474.36
## Start:  AIC=477.47
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        17 1097454 475.47
## - M.F     1       495 1097932 475.49
## - Po2     1       722 1098159 475.50
## - LF      1      3381 1100818 475.60
## - NW      1      5819 1103257 475.70
## - Wealth  1     12526 1109964 475.97
## - Pop     1     20614 1118051 476.29
## - Time    1     26317 1123754 476.51
## - Po1     1     47195 1144632 477.32
## <none>                1097437 477.47
## - U1      1    102178 1199616 479.39
## - M       1    200686 1298123 482.86
## - U2      1    225101 1322538 483.68
## - Prob    1    248663 1346100 484.46
## - Ineq    1    352167 1449604 487.71
## - Ed      1    483463 1580901 491.53
## 
## Step:  AIC=475.47
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1       546 1098000 473.49
## - Po2     1       746 1098200 473.50
## - LF      1      4695 1102149 473.66
## - NW      1      7225 1104679 473.76
## - Wealth  1     13228 1110682 474.00
## - Pop     1     20597 1118051 474.29
## - Time    1     27090 1124545 474.54
## - Po1     1     47345 1144799 475.33
## <none>                1097454 475.47
## - U1      1    119778 1217232 478.03
## - M       1    201091 1298546 480.87
## - U2      1    233341 1330795 481.95
## - Prob    1    252053 1349507 482.57
## - Ineq    1    404437 1501891 487.27
## - Ed      1    484396 1581850 489.56
## 
## Step:  AIC=473.49
## .outcome ~ M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       693 1098693 471.52
## - LF      1      4249 1102249 471.66
## - NW      1      6690 1104690 471.76
## - Wealth  1     13364 1111364 472.02
## - Time    1     28040 1126040 472.60
## - Pop     1     30308 1128308 472.69
## - Po1     1     47971 1145971 473.37
## <none>                1098000 473.49
## - U1      1    132944 1230944 476.52
## - U2      1    234201 1332201 480.00
## - Prob    1    254609 1352609 480.67
## - M       1    262255 1360255 480.92
## - Ineq    1    418663 1516663 485.70
## - Ed      1    499045 1597045 487.98
## 
## Step:  AIC=471.52
## .outcome ~ M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      3600 1102293 469.66
## - NW      1      6025 1104719 469.76
## - Wealth  1     13105 1111798 470.04
## - Time    1     27613 1126306 470.61
## - Pop     1     30574 1129268 470.73
## <none>                1098693 471.52
## - U1      1    132315 1231008 474.52
## - U2      1    237478 1336171 478.13
## - Prob    1    263811 1362505 478.99
## - M       1    265906 1364599 479.06
## - Ineq    1    429534 1528227 484.04
## - Ed      1    502403 1601097 486.09
## - Po1     1    747782 1846475 492.36
## 
## Step:  AIC=469.66
## .outcome ~ M + Ed + Po1 + Pop + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      6295 1108588 467.91
## - Wealth  1     12739 1115033 468.17
## - Time    1     28223 1130516 468.78
## - Pop     1     28503 1130796 468.79
## <none>                1102293 469.66
## - U1      1    128784 1231078 472.53
## - U2      1    239987 1342281 476.33
## - Prob    1    261062 1363356 477.02
## - M       1    263727 1366020 477.10
## - Ineq    1    426710 1529003 482.06
## - Ed      1    568375 1670669 485.96
## - Po1     1    748103 1850397 490.46
## 
## Step:  AIC=467.91
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      8924 1117512 466.27
## - Time    1     22401 1130990 466.79
## - Pop     1     33914 1142502 467.24
## <none>                1108588 467.91
## - U1      1    145391 1253979 471.34
## - Prob    1    260336 1368924 475.20
## - U2      1    270646 1379234 475.53
## - M       1    363925 1472513 478.40
## - Ineq    1    427578 1536166 480.27
## - Ed      1    565366 1673954 484.05
## - Po1     1   1092497 2201085 496.09
## 
## Step:  AIC=466.27
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     20205 1137717 465.06
## - Pop   1     39360 1156872 465.79
## <none>              1117512 466.27
## - U1    1    175176 1292688 470.67
## - Prob  1    311138 1428650 475.07
## - U2    1    326236 1443748 475.54
## - M     1    358621 1476133 476.51
## - Ed    1    633998 1751510 484.04
## - Ineq  1    636138 1753651 484.09
## - Po1   1   1572967 2690479 502.93
## 
## Step:  AIC=465.06
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1137717 465.06
## - Pop   1     89639 1227356 466.39
## - U1    1    161560 1299277 468.90
## - Prob  1    310866 1448583 473.68
## - U2    1    318499 1456216 473.92
## - M     1    351071 1488788 474.89
## - Ineq  1    623046 1760763 482.27
## - Ed    1    668787 1806504 483.40
## - Po1   1   1768231 2905948 504.32
## Start:  AIC=454.83
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4615 1239524 452.98
## - LF      1     17078 1251987 453.39
## - M.F     1     18823 1253732 453.45
## - Pop     1     21496 1256405 453.54
## - Time    1     22271 1257180 453.56
## - NW      1     31340 1266249 453.86
## - Po2     1     40238 1275148 454.15
## <none>                1234909 454.83
## - U1      1     72915 1307824 455.18
## - Wealth  1     91183 1326093 455.75
## - Po1     1    130851 1365760 456.96
## - U2      1    144872 1379781 457.38
## - M       1    194212 1429122 458.82
## - Prob    1    217842 1452752 459.49
## - Ed      1    306281 1541191 461.91
## - Ineq    1    405774 1640683 464.48
## 
## Step:  AIC=452.98
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     12548 1252073 451.40
## - M.F     1     17604 1257128 451.56
## - Pop     1     19052 1258576 451.61
## - Time    1     20252 1259776 451.65
## - NW      1     26958 1266482 451.87
## - Po2     1     40492 1280017 452.30
## <none>                1239524 452.98
## - U1      1     68647 1308171 453.19
## - Wealth  1     86959 1326484 453.76
## - Po1     1    133471 1372995 455.18
## - U2      1    140567 1380091 455.39
## - M       1    190711 1430235 456.85
## - Prob    1    234978 1474503 458.10
## - Ed      1    306320 1545844 460.04
## - Ineq    1    435968 1675492 463.34
## 
## Step:  AIC=451.4
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      8313 1260386 449.67
## - Time    1     19116 1271189 450.02
## - NW      1     21898 1273971 450.11
## - Pop     1     27033 1279106 450.27
## - Po2     1     31083 1283156 450.40
## - U1      1     57175 1309248 451.23
## <none>                1252073 451.40
## - Wealth  1     85379 1337452 452.10
## - Po1     1    121810 1373883 453.20
## - U2      1    143661 1395734 453.85
## - M       1    221165 1473238 456.07
## - Prob    1    222676 1474749 456.11
## - Ed      1    297633 1549705 458.14
## - Ineq    1    436267 1688340 461.65
## 
## Step:  AIC=449.67
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     23172 1283558 448.41
## - Time    1     30652 1291038 448.65
## - Po2     1     43329 1303715 449.05
## - U1      1     52706 1313092 449.35
## - Pop     1     53191 1313577 449.36
## <none>                1260386 449.67
## - Wealth  1    110872 1371257 451.12
## - U2      1    138774 1399160 451.95
## - Po1     1    161676 1422062 452.62
## - Prob    1    248787 1509172 455.05
## - M       1    264118 1524504 455.47
## - Ed      1    364166 1624551 458.07
## - Ineq    1    615076 1875461 463.96
## 
## Step:  AIC=448.41
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     18001 1301558 446.99
## - Po2     1     33385 1316942 447.47
## - Pop     1     46894 1330451 447.89
## - U1      1     58830 1342388 448.25
## <none>                1283558 448.41
## - Wealth  1     99280 1382838 449.47
## - U2      1    148721 1432279 450.91
## - Po1     1    150953 1434511 450.97
## - Prob    1    229954 1513511 453.17
## - Ed      1    363050 1646607 456.63
## - M       1    398055 1681613 457.49
## - Ineq    1    732480 2016038 464.93
## 
## Step:  AIC=446.99
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     22991 1324549 445.70
## - U1      1     47341 1348899 446.45
## <none>                1301558 446.99
## - Pop     1     83823 1385381 447.54
## - Wealth  1     96087 1397645 447.91
## - Po1     1    134964 1436522 449.03
## - U2      1    138346 1439904 449.13
## - Prob    1    237883 1539441 451.87
## - M       1    380060 1681618 455.49
## - Ed      1    409069 1710627 456.19
## - Ineq    1    757666 2059224 463.79
## 
## Step:  AIC=445.7
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     43998 1368547 445.04
## <none>                1324549 445.70
## - Pop     1     91600 1416149 446.45
## - Wealth  1    100376 1424924 446.70
## - U2      1    139704 1464253 447.81
## - Prob    1    237420 1561969 450.46
## - M       1    372043 1696591 453.85
## - Ed      1    390224 1714773 454.29
## - Ineq    1    804374 2128923 463.16
## - Po1     1   1027115 2351664 467.24
## 
## Step:  AIC=445.04
## .outcome ~ M + Ed + Po1 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1368547 445.04
## - Pop     1     82088 1450636 445.43
## - Wealth  1    122624 1491172 446.56
## - U2      1    129836 1498383 446.76
## - Prob    1    232983 1601530 449.49
## - Ed      1    346258 1714805 452.29
## - M       1    374605 1743152 452.96
## - Ineq    1    896380 2264927 463.70
## - Po1     1   1325984 2694532 470.82
## Start:  AIC=462.73
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       242 1194631 460.74
## - LF      1       288 1194677 460.74
## - So      1      9413 1203802 461.06
## - Po2     1     15310 1209699 461.26
## - NW      1     23064 1217453 461.53
## - Wealth  1     25753 1220142 461.63
## - M.F     1     53709 1248098 462.58
## - Pop     1     54947 1249336 462.62
## <none>                1194389 462.73
## - M       1     66389 1260778 463.00
## - U1      1     70784 1265173 463.15
## - Po1     1     82310 1276699 463.53
## - U2      1    139275 1333664 465.36
## - Prob    1    204992 1399381 467.38
## - Ed      1    269394 1463783 469.27
## - Ineq    1    352109 1546498 471.58
## 
## Step:  AIC=460.74
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       225 1194856 458.75
## - So      1      9194 1203825 459.06
## - Po2     1     18408 1213039 459.38
## - NW      1     25919 1220550 459.64
## - Wealth  1     26933 1221564 459.67
## - M.F     1     55288 1249920 460.64
## - Pop     1     58134 1252766 460.73
## <none>                1194631 460.74
## - U1      1     72897 1267529 461.23
## - M       1     73634 1268266 461.25
## - Po1     1     90125 1284757 461.79
## - U2      1    142288 1336919 463.46
## - Ed      1    270914 1465545 467.32
## - Prob    1    275634 1470265 467.46
## - Ineq    1    352496 1547128 469.60
## 
## Step:  AIC=458.75
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     10248 1205104 457.11
## - Po2     1     20731 1215587 457.47
## - Wealth  1     28258 1223114 457.73
## - NW      1     29939 1224795 457.79
## - Pop     1     58272 1253128 458.75
## <none>                1194856 458.75
## - M.F     1     66217 1261074 459.01
## - M       1     73595 1268451 459.26
## - U1      1     86760 1281616 459.69
## - Po1     1     94391 1289247 459.94
## - U2      1    142063 1336920 461.46
## - Prob    1    276810 1471666 465.50
## - Ed      1    302662 1497518 466.23
## - Ineq    1    364878 1559734 467.94
## 
## Step:  AIC=457.11
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     18255 1223359 455.74
## - Wealth  1     34553 1239657 456.29
## - NW      1     42058 1247162 456.55
## <none>                1205104 457.11
## - Pop     1     62635 1267739 457.23
## - M.F     1     63098 1268202 457.25
## - M       1     89312 1294416 458.11
## - Po1     1     89678 1294782 458.12
## - U1      1    105708 1310812 458.64
## - U2      1    173111 1378215 460.74
## - Prob    1    278178 1483283 463.83
## - Ed      1    297701 1502805 464.38
## - Ineq    1    444805 1649909 468.30
## 
## Step:  AIC=455.74
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     32799 1256158 454.85
## - Wealth  1     34606 1257965 454.91
## - Pop     1     50189 1273548 455.43
## <none>                1223359 455.74
## - M.F     1     66990 1290348 455.98
## - M       1     98692 1322050 457.00
## - U1      1    104546 1327904 457.18
## - U2      1    173489 1396848 459.31
## - Prob    1    272547 1495905 462.18
## - Ed      1    285412 1508771 462.54
## - Ineq    1    449743 1673102 466.89
## - Po1     1    648937 1872296 471.61
## 
## Step:  AIC=454.85
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     28363 1284520 453.79
## - Pop     1     43360 1299518 454.27
## - M.F     1     50965 1307122 454.52
## <none>                1256158 454.85
## - U1      1    105024 1361181 456.22
## - U2      1    187611 1443769 458.69
## - M       1    192825 1448982 458.85
## - Prob    1    239767 1495925 460.18
## - Ed      1    279559 1535717 461.29
## - Ineq    1    529215 1785372 467.61
## - Po1     1    822331 2078488 474.00
## 
## Step:  AIC=453.79
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     40046 1324566 453.07
## <none>              1284520 453.79
## - M.F   1     74106 1358626 454.14
## - U1    1    146878 1431398 456.33
## - M     1    171754 1456274 457.06
## - U2    1    248095 1532615 459.20
## - Prob  1    267254 1551774 459.72
## - Ed    1    324551 1609072 461.25
## - Ineq  1    624665 1909186 468.43
## - Po1   1   1061171 2345691 477.08
## 
## Step:  AIC=453.07
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1324566 453.07
## - M.F   1    114816 1439382 454.57
## - U1    1    148291 1472856 455.53
## - M     1    216702 1541267 457.44
## - Prob  1    237372 1561938 458.00
## - U2    1    240895 1565460 458.09
## - Ed    1    353828 1678393 461.02
## - Ineq  1    588159 1912725 466.51
## - Po1   1   1091212 2415777 476.31
## Start:  AIC=454.85
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1342 1236967 452.90
## - Time    1      1375 1237000 452.90
## - So      1      5901 1241526 453.05
## - LF      1      7094 1242718 453.09
## - Wealth  1     15068 1250692 453.35
## - NW      1     16838 1252462 453.41
## - M.F     1     42746 1278371 454.25
## - Po2     1     43391 1279015 454.27
## <none>                1235624 454.85
## - U1      1     77071 1312695 455.33
## - Prob    1    133444 1369068 457.06
## - Po1     1    140150 1375775 457.26
## - M       1    170481 1406105 458.15
## - U2      1    179986 1415610 458.43
## - Ineq    1    202269 1437893 459.07
## - Ed      1    332023 1567647 462.61
## 
## Step:  AIC=452.9
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      2095 1239062 450.97
## - So      1      5722 1242689 451.09
## - LF      1      8117 1245084 451.17
## - Wealth  1     14201 1251168 451.37
## - NW      1     17271 1254237 451.47
## - Po2     1     44083 1281049 452.33
## - M.F     1     58226 1295193 452.78
## <none>                1236967 452.90
## - U1      1     83704 1320671 453.58
## - Prob    1    132482 1369448 455.07
## - Po1     1    139038 1376004 455.27
## - M       1    176188 1413154 456.36
## - U2      1    183908 1420875 456.58
## - Ineq    1    212162 1449129 457.39
## - Ed      1    331842 1568809 460.64
## 
## Step:  AIC=450.97
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      6905 1245967 449.20
## - LF      1      7067 1246129 449.20
## - Wealth  1     12305 1251367 449.37
## - NW      1     15269 1254331 449.47
## - Po2     1     43417 1282479 450.38
## <none>                1239062 450.97
## - M.F     1     70238 1309300 451.23
## - U1      1     82415 1321476 451.61
## - Po1     1    143653 1382715 453.47
## - M       1    174392 1413453 454.37
## - Prob    1    178173 1417235 454.48
## - U2      1    183912 1422974 454.64
## - Ineq    1    210079 1449141 455.39
## - Ed      1    329852 1568914 458.65
## 
## Step:  AIC=449.2
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     14707 1260674 447.68
## - Wealth  1     15462 1261429 447.70
## - NW      1     20707 1266674 447.87
## - Po2     1     39987 1285954 448.49
## <none>                1245967 449.20
## - M.F     1     77448 1323415 449.67
## - U1      1    108393 1354361 450.62
## - Po1     1    138192 1384159 451.51
## - Prob    1    175305 1421272 452.59
## - M       1    188513 1434480 452.97
## - U2      1    201262 1447229 453.34
## - Ineq    1    320155 1566122 456.57
## - Ed      1    324616 1570583 456.69
## 
## Step:  AIC=447.68
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     12678 1273352 446.09
## - Wealth  1     12773 1273447 446.09
## - Po2     1     30183 1290857 446.65
## <none>                1260674 447.68
## - M.F     1     64065 1324739 447.71
## - U1      1     93722 1354396 448.62
## - Po1     1    125764 1386438 449.58
## - Prob    1    160645 1421319 450.59
## - U2      1    201900 1462574 451.77
## - M       1    239096 1499770 452.80
## - Ed      1    313524 1574198 454.78
## - Ineq    1    320631 1581306 454.97
## 
## Step:  AIC=446.09
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      7935 1281287 444.34
## - Po2     1     22051 1295403 444.79
## - M.F     1     60638 1333990 445.99
## <none>                1273352 446.09
## - U1      1     87512 1360864 446.81
## - Po1     1    117207 1390560 447.70
## - Prob    1    148380 1421732 448.61
## - U2      1    195365 1468718 449.94
## - Ed      1    301628 1574980 452.80
## - M       1    340262 1613615 453.80
## - Ineq    1    377386 1650738 454.73
## 
## Step:  AIC=444.34
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     20712 1301999 443.00
## <none>              1281287 444.34
## - M.F   1     74672 1355959 444.66
## - U1    1     93636 1374924 445.23
## - Po1   1    121245 1402533 446.05
## - Prob  1    171417 1452704 447.49
## - U2    1    207298 1488585 448.49
## - Ed    1    310374 1591661 451.24
## - M     1    332676 1613963 451.81
## - Ineq  1    536582 1817870 456.68
## 
## Step:  AIC=443
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1301999 443.00
## - U1    1     89799 1391798 443.73
## - M.F   1    106166 1408165 444.21
## - Prob  1    181144 1483143 446.34
## - U2    1    200700 1502698 446.88
## - Ed    1    290136 1592135 449.25
## - M     1    326884 1628883 450.18
## - Ineq  1    556197 1858195 455.58
## - Po1   1   1372695 2674694 470.52
## Start:  AIC=461.55
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       197 1161464 459.56
## - So      1       280 1161548 459.56
## - Time    1      1325 1162592 459.60
## - LF      1      5199 1166466 459.74
## - M.F     1     10926 1172193 459.94
## - Pop     1     43921 1205189 461.11
## - U1      1     45010 1206277 461.15
## - Wealth  1     47419 1208687 461.23
## <none>                1161268 461.55
## - Po2     1     60440 1221708 461.68
## - Prob    1    107664 1268932 463.27
## - M       1    143251 1304519 464.43
## - U2      1    176484 1337752 465.49
## - Po1     1    185054 1346322 465.76
## - Ed      1    422109 1583377 472.57
## - Ineq    1    465726 1626993 473.71
## 
## Step:  AIC=459.56
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       909 1162374 457.59
## - Time    1      2193 1163657 457.64
## - LF      1      5188 1166652 457.74
## - M.F     1     11217 1172681 457.96
## - Pop     1     47231 1208696 459.23
## - Wealth  1     47252 1208716 459.23
## - U1      1     48510 1209975 459.27
## <none>                1161464 459.56
## - Po2     1     63831 1225295 459.80
## - Prob    1    116851 1278316 461.58
## - M       1    151607 1313071 462.71
## - U2      1    176990 1338455 463.51
## - Po1     1    189813 1351278 463.91
## - Ed      1    424844 1586309 470.65
## - Ineq    1    520973 1682437 473.12
## 
## Step:  AIC=457.59
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      2251 1164625 455.67
## - LF      1      7695 1170068 455.87
## - M.F     1     12024 1174397 456.02
## - Pop     1     47111 1209485 457.26
## - Wealth  1     49180 1211553 457.33
## <none>                1162374 457.59
## - U1      1     60610 1222984 457.72
## - Po2     1     63229 1225603 457.81
## - Prob    1    124926 1287300 459.88
## - M       1    166625 1328999 461.22
## - Po1     1    189059 1351433 461.92
## - U2      1    195804 1358178 462.13
## - Ed      1    424271 1586645 468.66
## - Ineq    1    621131 1783505 473.57
## 
## Step:  AIC=455.67
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8056 1172680 453.96
## - M.F     1     10490 1175115 454.05
## - Pop     1     45063 1209688 455.26
## - Wealth  1     48960 1213585 455.40
## <none>                1164625 455.67
## - U1      1     63683 1228307 455.91
## - Po2     1     74850 1239475 456.29
## - U2      1    202249 1366874 460.40
## - M       1    204708 1369333 460.47
## - Po1     1    212966 1377591 460.72
## - Prob    1    223691 1388316 461.05
## - Ed      1    423602 1588226 466.70
## - Ineq    1    618971 1783596 471.57
## 
## Step:  AIC=453.96
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      4772 1177453 452.13
## - Wealth  1     47100 1219780 453.61
## - Pop     1     50579 1223259 453.73
## - U1      1     56148 1228828 453.92
## <none>                1172680 453.96
## - Po2     1     67145 1239825 454.30
## - Po1     1    205051 1377732 458.73
## - U2      1    207172 1379852 458.79
## - Prob    1    215639 1388320 459.05
## - M       1    222095 1394775 459.24
## - Ed      1    426642 1599323 464.99
## - Ineq    1    610916 1783596 469.57
## 
## Step:  AIC=452.13
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     54053 1231505 452.02
## <none>                1177453 452.13
## - Wealth  1     58606 1236058 452.17
## - Po2     1     79489 1256941 452.87
## - Pop     1     88913 1266365 453.19
## - U2      1    203964 1381416 456.84
## - Prob    1    220939 1398392 457.35
## - Po1     1    236553 1414006 457.82
## - M       1    238442 1415894 457.88
## - Ed      1    528346 1705799 465.70
## - Ineq    1    788361 1965814 471.66
## 
## Step:  AIC=452.02
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1231505 452.02
## - Po2     1     67001 1298506 452.24
## - Pop     1     76778 1308284 452.56
## - Wealth  1     78534 1310040 452.61
## - U2      1    198242 1429747 456.28
## - Prob    1    210456 1441961 456.64
## - Po1     1    227816 1459321 457.14
## - M       1    250831 1482336 457.80
## - Ed      1    477637 1709142 463.78
## - Ineq    1    855376 2086882 472.17
## Start:  AIC=454.96
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1626 1240426 453.01
## - So      1      3296 1242095 453.07
## - LF      1     13099 1251899 453.39
## - Time    1     17475 1256275 453.53
## - M.F     1     24297 1263096 453.76
## - NW      1     34918 1273718 454.10
## - Po2     1     54469 1293268 454.72
## <none>                1238799 454.96
## - Wealth  1     72918 1311717 455.30
## - U1      1     87062 1325861 455.74
## - Po1     1    142308 1381107 457.42
## - U2      1    192431 1431230 458.88
## - M       1    206514 1445313 459.28
## - Prob    1    212682 1451482 459.46
## - Ineq    1    302462 1541261 461.92
## - Ed      1    395350 1634149 464.32
## 
## Step:  AIC=453.01
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2772 1243198 451.10
## - LF      1     13731 1254157 451.46
## - Time    1     21840 1262266 451.73
## - M.F     1     33207 1273633 452.10
## - NW      1     37166 1277591 452.22
## <none>                1240426 453.01
## - Po2     1     64367 1304793 453.09
## - Wealth  1     71353 1311778 453.31
## - U1      1     95696 1336122 454.06
## - Po1     1    150046 1390471 455.69
## - U2      1    202820 1443246 457.22
## - M       1    206037 1446463 457.31
## - Prob    1    219238 1459664 457.69
## - Ineq    1    346385 1586810 461.11
## - Ed      1    395304 1635730 462.36
## 
## Step:  AIC=451.1
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     10971 1254169 449.46
## - Time    1     20322 1263519 449.77
## - M.F     1     30762 1273960 450.11
## - NW      1     35717 1278915 450.27
## <none>                1243198 451.10
## - Po2     1     64622 1307820 451.18
## - Wealth  1     68869 1312066 451.32
## - U1      1     99437 1342635 452.26
## - Po1     1    153078 1396276 453.87
## - M       1    203369 1446567 455.32
## - U2      1    205282 1448480 455.37
## - Prob    1    236901 1480099 456.26
## - Ineq    1    368753 1611950 459.75
## - Ed      1    393636 1636833 460.38
## 
## Step:  AIC=449.46
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     20517 1274686 448.13
## - Time    1     21121 1275290 448.15
## - NW      1     31624 1285793 448.49
## - Po2     1     57478 1311646 449.30
## <none>                1254169 449.46
## - Wealth  1     67847 1322016 449.62
## - U1      1     88872 1343040 450.27
## - Po1     1    144357 1398525 451.93
## - U2      1    215020 1469188 453.95
## - Prob    1    226178 1480347 454.26
## - M       1    234522 1488691 454.49
## - Ineq    1    359400 1613568 457.80
## - Ed      1    397362 1651531 458.75
## 
## Step:  AIC=448.13
## .outcome ~ M + Ed + Po1 + Po2 + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     29268 1303953 447.06
## - Time    1     48103 1322789 447.65
## <none>                1274686 448.13
## - U1      1     68420 1343105 448.27
## - Wealth  1     89155 1363840 448.90
## - Po2     1     96502 1371187 449.12
## - U2      1    194520 1469205 451.95
## - Po1     1    219323 1494009 452.64
## - Prob    1    261623 1536309 453.78
## - M       1    336103 1610788 455.73
## - Ineq    1    446747 1721432 458.45
## - Ed      1    549049 1823735 460.82
## 
## Step:  AIC=447.06
## .outcome ~ M + Ed + Po1 + Po2 + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     31862 1335816 446.05
## <none>                1303953 447.06
## - U1      1     68831 1372784 447.17
## - Po2     1     72103 1376057 447.27
## - Wealth  1     78901 1382854 447.47
## - Po1     1    193586 1497540 450.74
## - U2      1    194526 1498480 450.76
## - Prob    1    234160 1538114 451.83
## - M       1    483677 1787630 458.00
## - Ed      1    528476 1832430 459.01
## - Ineq    1    604056 1908010 460.67
## 
## Step:  AIC=446.05
## .outcome ~ M + Ed + Po1 + Po2 + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     51459 1387275 445.60
## - Po2     1     57797 1393613 445.79
## <none>                1335816 446.05
## - Wealth  1     74050 1409866 446.26
## - Po1     1    172182 1507997 449.02
## - U2      1    178039 1513855 449.18
## - Prob    1    214675 1550491 450.16
## - M       1    455507 1791323 456.08
## - Ineq    1    593252 1929067 459.12
## - Ed      1    613866 1949682 459.55
## 
## Step:  AIC=445.6
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     50138 1437413 445.06
## <none>                1387275 445.60
## - Wealth  1     91656 1478931 446.22
## - Po1     1    173346 1560621 448.43
## - U2      1    183425 1570700 448.69
## - Prob    1    215343 1602618 449.52
## - M       1    461215 1848490 455.37
## - Ed      1    565734 1953009 457.62
## - Ineq    1    688809 2076084 460.13
## 
## Step:  AIC=445.06
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1437413 445.06
## - Wealth  1     93405 1530818 445.64
## - U2      1    188659 1626071 448.11
## - Prob    1    209242 1646655 448.63
## - M       1    467379 1904792 454.60
## - Ed      1    577812 2015224 456.91
## - Ineq    1    780970 2218382 460.85
## - Po1     1   1253946 2691358 468.77
## Start:  AIC=483.92
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      7837 1278465 482.19
## - Time    1      9454 1280082 482.24
## - LF      1     11850 1282478 482.33
## - So      1     13959 1284588 482.40
## - NW      1     23365 1293994 482.72
## - M.F     1     31464 1302093 482.99
## - Po2     1     34332 1304961 483.09
## <none>                1270628 483.92
## - U1      1     70897 1341525 484.31
## - Wealth  1     89084 1359712 484.90
## - Po1     1    116203 1386831 485.77
## - Prob    1    124051 1394679 486.02
## - U2      1    157229 1427857 487.05
## - M       1    241332 1511960 489.57
## - Ed      1    282371 1552999 490.75
## - Ineq    1    459402 1730030 495.50
## 
## Step:  AIC=482.19
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     14631 1293096 480.69
## - Time    1     14997 1293462 480.70
## - LF      1     15422 1293887 480.71
## - NW      1     24410 1302875 481.02
## - Po2     1     35899 1314364 481.41
## - M.F     1     53736 1332201 482.00
## <none>                1278465 482.19
## - U1      1     83946 1362411 482.99
## - Wealth  1     86418 1364883 483.07
## - Po1     1    113031 1391496 483.91
## - Prob    1    124050 1402515 484.26
## - U2      1    161689 1440154 485.43
## - M       1    250244 1528709 488.05
## - Ed      1    283946 1562411 489.01
## - Ineq    1    456433 1734898 493.62
## 
## Step:  AIC=480.69
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      6050 1299146 478.89
## - Time    1     11899 1304995 479.09
## - NW      1     13315 1306411 479.14
## - Po2     1     34216 1327311 479.84
## - M.F     1     48494 1341589 480.31
## <none>                1293096 480.69
## - U1      1     70346 1363441 481.02
## - Wealth  1     71857 1364953 481.07
## - Po1     1    116020 1409116 482.47
## - U2      1    149158 1442253 483.49
## - Prob    1    154755 1447850 483.66
## - M       1    236343 1529439 486.07
## - Ed      1    282293 1575389 487.38
## - Ineq    1    491655 1784751 492.87
## 
## Step:  AIC=478.89
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     10476 1309622 477.25
## - Time    1     11767 1310913 477.29
## - Po2     1     28836 1327982 477.86
## - M.F     1     43564 1342710 478.34
## <none>                1299146 478.89
## - U1      1     64497 1363643 479.03
## - Wealth  1     74664 1373810 479.35
## - Po1     1    110057 1409203 480.47
## - Prob    1    148877 1448022 481.67
## - U2      1    149254 1448400 481.68
## - M       1    281077 1580222 485.51
## - Ed      1    293456 1592602 485.85
## - Ineq    1    489003 1788149 490.95
## 
## Step:  AIC=477.25
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      6831 1316453 475.48
## - Po2     1     22292 1331914 475.99
## - M.F     1     41877 1351499 476.63
## <none>                1309622 477.25
## - U1      1     64226 1373847 477.35
## - Wealth  1     71214 1380836 477.58
## - Po1     1    102250 1411871 478.55
## - Prob    1    141086 1450708 479.75
## - U2      1    152066 1461688 480.08
## - Ed      1    283716 1593338 483.87
## - M       1    364289 1673910 486.05
## - Ineq    1    573604 1883226 491.23
## 
## Step:  AIC=475.48
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     16884 1333337 474.04
## - U1      1     60481 1376935 475.45
## <none>                1316453 475.48
## - M.F     1     64550 1381003 475.58
## - Wealth  1     70120 1386573 475.76
## - Po1     1     95680 1412133 476.56
## - U2      1    146349 1462803 478.11
## - Prob    1    163494 1479948 478.63
## - Ed      1    286365 1602818 482.14
## - M       1    359821 1676274 484.11
## - Ineq    1    568001 1884454 489.26
## 
## Step:  AIC=474.04
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1333337 474.04
## - U1      1     63147 1396484 474.07
## - Wealth  1     70101 1403438 474.29
## - M.F     1     76396 1409733 474.49
## - U2      1    152692 1486029 476.81
## - Prob    1    166055 1499392 477.20
## - Ed      1    278973 1612310 480.40
## - M       1    355347 1688684 482.43
## - Ineq    1    600163 1933500 488.39
## - Po1     1    757983 2091320 491.84
## Start:  AIC=456.8
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1        16  839306 454.80
## - M.F     1       516  839806 454.83
## - LF      1      3483  842773 454.98
## - So      1      4097  843387 455.01
## - U1      1      9690  848980 455.30
## - Time    1     30945  870235 456.36
## <none>                 839290 456.80
## - NW      1     42129  881419 456.91
## - Pop     1     47708  886998 457.18
## - Po2     1     56092  895382 457.58
## - U2      1    126320  965610 460.83
## - Po1     1    185764 1025054 463.40
## - Prob    1    221902 1061192 464.89
## - Ineq    1    242784 1082074 465.73
## - M       1    257413 1096702 466.30
## - Ed      1    362102 1201392 470.23
## 
## Step:  AIC=454.8
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1       504  839810 452.83
## - LF    1      3509  842815 452.98
## - So    1      4301  843607 453.02
## - U1    1      9740  849046 453.30
## - Time  1     31302  870607 454.38
## <none>               839306 454.80
## - NW    1     42360  881665 454.92
## - Pop   1     47711  887016 455.18
## - Po2   1     56077  895382 455.58
## - U2    1    127749  967054 458.89
## - Po1   1    187062 1026367 461.45
## - Prob  1    222862 1062168 462.93
## - M     1    261403 1100709 464.46
## - Ineq  1    347158 1186464 467.69
## - Ed    1    377667 1216972 468.78
## 
## Step:  AIC=452.83
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      3492  843302 451.01
## - So    1      3797  843607 451.02
## - U1    1     19233  859043 451.80
## - Time  1     32359  872169 452.45
## <none>               839810 452.83
## - NW    1     46850  886660 453.16
## - Pop   1     50493  890303 453.34
## - Po2   1     56970  896779 453.65
## - U2    1    129213  969022 456.98
## - Po1   1    186838 1026648 459.47
## - Prob  1    231352 1071162 461.29
## - M     1    347679 1187489 465.72
## - Ineq  1    349964 1189774 465.81
## - Ed    1    388155 1227965 467.17
## 
## Step:  AIC=451.01
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - So    1      1586  844887 449.09
## - U1    1     22627  865928 450.15
## - Time  1     32858  876160 450.65
## <none>               843302 451.01
## - NW    1     51136  894437 451.54
## - Pop   1     55548  898850 451.75
## - Po2   1     90175  933477 453.38
## - U2    1    125728  969030 454.98
## - Prob  1    228823 1072125 459.33
## - Po1   1    270573 1113875 460.97
## - M     1    360697 1203999 464.32
## - Ineq  1    486377 1329678 468.59
## - Ed    1    747453 1590755 476.30
## 
## Step:  AIC=449.09
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     29079  873966 448.54
## - Time  1     32394  877282 448.71
## <none>               844887 449.09
## - Pop   1     57131  902018 449.90
## - NW    1     72291  917178 450.62
## - Po2   1     88595  933482 451.38
## - U2    1    146803  991691 453.98
## - Prob  1    232124 1077011 457.53
## - Po1   1    270404 1115292 459.03
## - M     1    372291 1217178 462.79
## - Ineq  1    536048 1380935 468.21
## - Ed    1    745992 1590879 474.30
## 
## Step:  AIC=448.54
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     18996  892962 447.47
## <none>               873966 448.54
## - Pop   1     60439  934405 449.42
## - Po2   1     78147  952114 450.23
## - NW    1     80646  954612 450.34
## - U2    1    183025 1056992 454.72
## - Prob  1    211975 1085941 455.88
## - Po1   1    263280 1137246 457.87
## - M     1    354063 1228029 461.17
## - Ineq  1    566762 1440728 468.04
## - Ed    1    718168 1592135 472.33
## 
## Step:  AIC=447.47
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>               892962 447.47
## - Po2   1     61354  954316 448.32
## - NW    1     70109  963071 448.72
## - Pop   1    108551 1001513 450.40
## - U2    1    185575 1078537 453.59
## - Prob  1    228038 1121000 455.25
## - Po1   1    244524 1137486 455.87
## - M     1    335367 1228329 459.18
## - Ineq  1    659899 1552861 469.26
## - Ed    1    829117 1722080 473.71
## Start:  AIC=475.35
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       139 1292183 473.36
## - LF      1     12393 1304437 473.76
## - NW      1     13197 1305241 473.79
## - Time    1     16380 1308425 473.89
## - Pop     1     17838 1309882 473.94
## - Po2     1     31118 1323162 474.38
## - M.F     1     44161 1336205 474.80
## - Wealth  1     60440 1352485 475.32
## <none>                1292044 475.35
## - U1      1     99752 1391796 476.55
## - Po1     1    125812 1417856 477.35
## - M       1    140408 1432453 477.79
## - U2      1    151723 1443767 478.13
## - Prob    1    212724 1504768 479.91
## - Ed      1    299648 1591692 482.32
## - Ineq    1    403238 1695282 485.03
## 
## Step:  AIC=473.36
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     14279 1306462 471.83
## - LF      1     15004 1307187 471.85
## - Time    1     16272 1308455 471.90
## - Pop     1     17740 1309923 471.94
## - Po2     1     31006 1323189 472.38
## - M.F     1     44217 1336400 472.80
## <none>                1292183 473.36
## - Wealth  1     64318 1356501 473.45
## - U1      1    105710 1397893 474.74
## - Po1     1    125762 1417945 475.35
## - M       1    141857 1434040 475.84
## - U2      1    152438 1444621 476.15
## - Prob    1    217494 1509677 478.05
## - Ed      1    300896 1593079 480.36
## - Ineq    1    482778 1774961 485.01
## 
## Step:  AIC=471.83
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     10619 1317082 470.18
## - LF      1     10933 1317395 470.19
## - Pop     1     16193 1322655 470.36
## - Po2     1     21897 1328360 470.54
## - M.F     1     40654 1347116 471.15
## - Wealth  1     56199 1362661 471.64
## <none>                1306462 471.83
## - Po1     1    114112 1420574 473.43
## - U1      1    115876 1422339 473.48
## - U2      1    193061 1499523 475.76
## - Prob    1    216363 1522825 476.42
## - M       1    244806 1551268 477.22
## - Ed      1    291859 1598321 478.50
## - Ineq    1    588460 1894922 485.82
## 
## Step:  AIC=470.18
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11300 1328381 468.55
## - Po2     1     15419 1332500 468.68
## - Pop     1     23974 1341055 468.95
## - M.F     1     52745 1369826 469.87
## - Wealth  1     52761 1369842 469.87
## <none>                1317082 470.18
## - Po1     1    103934 1421015 471.44
## - U1      1    109199 1426280 471.60
## - U2      1    184737 1501818 473.82
## - M       1    234839 1551920 475.23
## - Prob    1    237009 1554090 475.29
## - Ed      1    309193 1626275 477.25
## - Ineq    1    589615 1906696 484.09
## 
## Step:  AIC=468.55
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      9896 1338278 466.86
## - Pop     1     30015 1358396 467.51
## - M.F     1     41459 1369841 467.87
## - Wealth  1     50505 1378887 468.15
## <none>                1328381 468.55
## - Po1     1     94025 1422407 469.49
## - U1      1     98085 1426466 469.61
## - U2      1    189632 1518014 472.28
## - Prob    1    226112 1554493 473.30
## - M       1    255071 1583452 474.10
## - Ed      1    302217 1630598 475.36
## - Ineq    1    578876 1907258 482.10
## 
## Step:  AIC=466.86
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     27901 1366179 465.75
## - M.F     1     51688 1389966 466.49
## - Wealth  1     52278 1390555 466.51
## <none>                1338278 466.86
## - U1      1    101964 1440242 468.02
## - U2      1    193106 1531384 470.66
## - Prob    1    227857 1566135 471.63
## - M       1    250176 1588453 472.23
## - Ed      1    292442 1630720 473.36
## - Ineq    1    591927 1930205 480.61
## - Po1     1    964485 2302763 488.20
## 
## Step:  AIC=465.75
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     40731 1406910 465.02
## <none>                1366179 465.75
## - M.F     1    117649 1483828 467.30
## - U1      1    125375 1491554 467.53
## - Prob    1    204044 1570223 469.74
## - U2      1    210977 1577156 469.93
## - M       1    264414 1630593 471.36
## - Ed      1    300560 1666739 472.30
## - Ineq    1    569154 1935333 478.73
## - Po1     1   1020244 2386422 487.74
## 
## Step:  AIC=465.02
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1406910 465.02
## - M.F   1    137556 1544465 467.03
## - U1    1    163233 1570143 467.74
## - M     1    234986 1641896 469.66
## - Prob  1    247901 1654810 469.99
## - U2    1    276920 1683829 470.74
## - Ed    1    371596 1778506 473.09
## - Ineq  1    662183 2069093 479.60
## - Po1   1   1520652 2927562 494.52
## Start:  AIC=452.02
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       686 1153668 450.04
## - Time    1      2198 1155180 450.09
## - LF      1     14775 1167757 450.54
## - Pop     1     19898 1172880 450.72
## - Wealth  1     32262 1185245 451.15
## - NW      1     33537 1186519 451.19
## - Po2     1     49159 1202141 451.73
## <none>                1152982 452.02
## - M.F     1     60414 1213396 452.11
## - U1      1     85156 1238138 452.94
## - M       1    109913 1262895 453.75
## - U2      1    157176 1310158 455.26
## - Po1     1    166901 1319883 455.56
## - Prob    1    219059 1372041 457.15
## - Ed      1    351799 1504781 460.93
## - Ineq    1    414360 1567342 462.60
## 
## Step:  AIC=450.04
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1771 1155439 448.10
## - LF      1     15909 1169577 448.60
## - Pop     1     20467 1174136 448.76
## - Wealth  1     31602 1185271 449.15
## - NW      1     36537 1190205 449.32
## - Po2     1     48714 1202382 449.74
## <none>                1153668 450.04
## - M.F     1     59961 1213629 450.12
## - U1      1     97083 1250752 451.35
## - M       1    109316 1262985 451.75
## - U2      1    166354 1320022 453.56
## - Po1     1    167049 1320717 453.58
## - Prob    1    230778 1384446 455.52
## - Ed      1    351405 1505074 458.94
## - Ineq    1    436715 1590384 461.20
## 
## Step:  AIC=448.1
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     15499 1170938 446.65
## - Pop     1     25541 1180980 447.00
## - Wealth  1     31486 1186925 447.21
## - NW      1     34766 1190205 447.32
## - Po2     1     48869 1204309 447.80
## <none>                1155439 448.10
## - M.F     1     66192 1221631 448.39
## - U1      1     96020 1251459 449.38
## - M       1    107556 1262995 449.75
## - U2      1    164790 1320230 451.57
## - Po1     1    175177 1330616 451.89
## - Prob    1    299844 1455283 455.56
## - Ed      1    351830 1507269 457.00
## - Ineq    1    450497 1605936 459.60
## 
## Step:  AIC=446.65
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     29285 1200223 445.66
## - Wealth  1     31630 1202568 445.74
## - Pop     1     32826 1203764 445.78
## - Po2     1     37409 1208346 445.94
## - M.F     1     50699 1221637 446.39
## <none>                1170938 446.65
## - U1      1     81759 1252697 447.42
## - M       1    132073 1303010 449.03
## - Po1     1    160388 1331326 449.91
## - U2      1    170660 1341598 450.23
## - Prob    1    284612 1455550 453.57
## - Ed      1    344272 1515210 455.22
## - Ineq    1    447414 1618352 457.92
## 
## Step:  AIC=445.66
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     25122 1225345 444.51
## - Po2     1     26189 1226412 444.55
## - Pop     1     29589 1229812 444.66
## - M.F     1     39409 1239633 444.99
## <none>                1200223 445.66
## - U1      1     90053 1290276 446.63
## - Po1     1    146830 1347053 448.39
## - U2      1    194669 1394892 449.82
## - M       1    225325 1425548 450.72
## - Prob    1    255749 1455972 451.58
## - Ed      1    334256 1534479 453.74
## - Ineq    1    545395 1745618 459.02
## 
## Step:  AIC=444.51
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     23998 1249344 443.31
## - Po2   1     28852 1254197 443.47
## - M.F   1     55969 1281314 444.34
## <none>              1225345 444.51
## - U1    1    108875 1334220 446.00
## - Po1   1    165336 1390682 447.70
## - M     1    203389 1428734 448.81
## - U2    1    231103 1456449 449.60
## - Prob  1    291176 1516521 451.25
## - Ed    1    385409 1610754 453.72
## - Ineq  1    665019 1890364 460.29
## 
## Step:  AIC=443.31
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     24787 1274131 442.11
## <none>              1249344 443.31
## - M.F   1    115379 1364723 444.93
## - U1    1    123632 1372976 445.18
## - Po1   1    147893 1397237 445.89
## - M     1    215081 1464425 447.82
## - U2    1    231627 1480971 448.28
## - Prob  1    268253 1517596 449.28
## - Ed    1    374719 1624062 452.06
## - Ineq  1    647511 1896855 458.43
## 
## Step:  AIC=442.11
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1274131 442.11
## - U1    1    127357 1401488 444.02
## - M.F   1    135744 1409875 444.26
## - M     1    211548 1485680 446.41
## - U2    1    234715 1508846 447.04
## - Prob  1    279702 1553833 448.25
## - Ed    1    360101 1634232 450.32
## - Ineq  1    709067 1983198 458.25
## - Po1   1   1668017 2942148 474.42
## Start:  AIC=482.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1        96 1243874 480.98
## - Po2     1       289 1244067 480.99
## - LF      1       623 1244401 481.00
## - Time    1      1362 1245140 481.03
## - So      1      8409 1252186 481.27
## - Po1     1     27727 1271504 481.95
## - M.F     1     31112 1274889 482.06
## - Pop     1     31790 1275568 482.09
## - U1      1     42765 1286542 482.46
## - Wealth  1     54160 1297938 482.85
## <none>                1243777 482.98
## - Prob    1    123733 1367511 485.15
## - U2      1    208679 1452457 487.80
## - M       1    210331 1454108 487.85
## - Ed      1    406989 1650766 493.43
## - Ineq    1    453726 1697504 494.66
## 
## Step:  AIC=480.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       432 1244306 479.00
## - LF      1       899 1244773 479.01
## - Time    1      1295 1245168 479.03
## - So      1     10055 1253929 479.33
## - Po1     1     29754 1273628 480.02
## - Pop     1     31965 1275839 480.10
## - M.F     1     33690 1277564 480.16
## - U1      1     48323 1292196 480.66
## - Wealth  1     54587 1298461 480.87
## <none>                1243874 480.98
## - Prob    1    144397 1388270 483.81
## - U2      1    208920 1452794 485.81
## - M       1    225786 1469660 486.32
## - Ed      1    418333 1662206 491.74
## - Ineq    1    471152 1715026 493.11
## 
## Step:  AIC=479
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       636 1244942 477.02
## - Time    1      2162 1246468 477.07
## - So      1      9950 1254256 477.35
## - Pop     1     32100 1276406 478.12
## - M.F     1     37690 1281995 478.31
## - U1      1     48374 1292680 478.67
## - Wealth  1     54274 1298580 478.87
## <none>                1244306 479.00
## - Prob    1    150220 1394526 482.01
## - U2      1    217797 1462103 484.09
## - M       1    225604 1469910 484.33
## - Ed      1    418000 1662305 489.74
## - Ineq    1    471786 1716091 491.14
## - Po1     1    780612 2024917 498.42
## 
## Step:  AIC=477.02
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1912 1246854 475.09
## - So      1     14343 1259285 475.52
## - Pop     1     33381 1278323 476.18
## - M.F     1     42213 1287155 476.49
## - U1      1     50467 1295409 476.77
## - Wealth  1     53644 1298586 476.87
## <none>                1244942 477.02
## - Prob    1    151690 1396632 480.08
## - U2      1    217476 1462418 482.10
## - M       1    227991 1472933 482.42
## - Ed      1    439943 1684885 488.33
## - Ineq    1    502514 1747456 489.94
## - Po1     1    812896 2057838 497.13
## 
## Step:  AIC=475.09
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     13423 1260277 473.56
## - Pop     1     31579 1278433 474.19
## - M.F     1     40461 1287315 474.49
## - Wealth  1     53424 1300278 474.93
## - U1      1     55702 1302556 475.01
## <none>                1246854 475.09
## - Prob    1    218602 1465456 480.19
## - U2      1    226386 1473240 480.43
## - M       1    255512 1502365 481.29
## - Ed      1    440090 1686944 486.39
## - Ineq    1    501828 1748682 487.97
## - Po1     1    812427 2059281 495.16
## 
## Step:  AIC=473.56
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     34628 1294905 472.75
## - M.F     1     35287 1295564 472.77
## <none>                1260277 473.56
## - Wealth  1     58748 1319026 473.56
## - U1      1     71787 1332064 473.99
## - Prob    1    212301 1472578 478.41
## - U2      1    260539 1520817 479.83
## - M       1    318455 1578732 481.47
## - Ed      1    427935 1688212 484.42
## - Ineq    1    630160 1890437 489.40
## - Po1     1    857195 2117472 494.39
## 
## Step:  AIC=472.75
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     45094 1340000 472.26
## <none>                1294905 472.75
## - U1      1     92553 1387458 473.79
## - M.F     1     97059 1391964 473.93
## - Prob    1    184724 1479630 476.62
## - U2      1    266105 1561010 478.97
## - M       1    333965 1628871 480.85
## - Ed      1    427615 1722520 483.30
## - Ineq    1    604865 1899770 487.61
## - Po1     1    853373 2148278 493.02
## 
## Step:  AIC=472.26
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1340000 472.26
## - M.F   1    134778 1474778 474.47
## - U1    1    140460 1480459 474.64
## - Prob  1    235231 1575230 477.37
## - M     1    297384 1637384 479.07
## - U2    1    329380 1669380 479.93
## - Ed    1    502546 1842545 484.27
## - Ineq  1    726219 2066219 489.31
## - Po1   1   1440443 2780443 502.37
## Start:  AIC=463.28
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       215 1210316 461.29
## - Time    1       775 1210876 461.31
## - Pop     1      3970 1214072 461.42
## - NW      1      4861 1214963 461.45
## - LF      1      6829 1216930 461.52
## - Wealth  1      7566 1217668 461.54
## - Po2     1     15912 1226014 461.83
## - M.F     1     29210 1239312 462.28
## - U1      1     51549 1261651 463.03
## <none>                1210102 463.28
## - M       1     93245 1303347 464.40
## - U2      1     97964 1308065 464.55
## - Po1     1    115567 1325669 465.11
## - Prob    1    118599 1328700 465.21
## - Ed      1    279410 1489511 470.00
## - Ineq    1    367163 1577265 472.41
## 
## Step:  AIC=461.29
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       692 1211009 459.31
## - Pop     1      4045 1214361 459.43
## - NW      1      4807 1215123 459.45
## - Wealth  1      7372 1217689 459.54
## - LF      1      7426 1217742 459.54
## - Po2     1     15852 1226169 459.83
## - M.F     1     29161 1239478 460.29
## - U1      1     57189 1267505 461.23
## <none>                1210316 461.29
## - M       1     93070 1303387 462.40
## - U2      1    101206 1311522 462.66
## - Po1     1    115650 1325966 463.12
## - Prob    1    124520 1334837 463.40
## - Ed      1    279288 1489604 468.01
## - Ineq    1    434802 1645119 472.18
## 
## Step:  AIC=459.31
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      4156 1215165 457.45
## - Pop     1      4661 1215670 457.47
## - Wealth  1      6915 1217923 457.55
## - LF      1      7419 1218428 457.57
## - Po2     1     15517 1226526 457.85
## - M.F     1     32105 1243114 458.41
## - U1      1     56500 1267509 459.23
## <none>                1211009 459.31
## - M       1     93203 1304212 460.42
## - U2      1    100637 1311646 460.66
## - Po1     1    121173 1332182 461.32
## - Prob    1    177235 1388244 463.05
## - Ed      1    279278 1490287 466.03
## - Ineq    1    439926 1650935 470.33
## 
## Step:  AIC=457.45
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      3350 1218516 455.57
## - Wealth  1      5493 1220658 455.64
## - LF      1      5938 1221103 455.66
## - Po2     1     12247 1227412 455.88
## - M.F     1     29049 1244214 456.45
## - U1      1     54632 1269797 457.30
## <none>                1215165 457.45
## - U2      1    102123 1317288 458.84
## - Po1     1    117027 1332192 459.32
## - M       1    125554 1340719 459.58
## - Prob    1    182458 1397623 461.33
## - Ed      1    275799 1490965 464.05
## - Ineq    1    512112 1727277 470.22
## 
## Step:  AIC=455.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      4280 1222795 453.72
## - LF      1      8597 1227112 453.87
## - Po2     1     10601 1229117 453.93
## - M.F     1     48219 1266735 455.20
## - U1      1     53472 1271987 455.37
## <none>                1218516 455.57
## - U2      1     98782 1317297 456.84
## - Po1     1    113684 1332200 457.32
## - M       1    131593 1350109 457.88
## - Prob    1    179111 1397627 459.33
## - Ed      1    283946 1502462 462.37
## - Ineq    1    514383 1732899 468.36
## 
## Step:  AIC=453.72
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      7886 1230682 451.99
## - Po2   1     10884 1233679 452.09
## - M.F   1     51339 1274135 453.44
## - U1    1     59450 1282246 453.71
## <none>              1222795 453.72
## - U2    1    108107 1330903 455.28
## - Po1   1    120615 1343411 455.67
## - M     1    127997 1350792 455.90
## - Prob  1    195737 1418532 457.95
## - Ed    1    300339 1523134 460.94
## - Ineq  1    721595 1944390 471.20
## 
## Step:  AIC=451.99
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1      7305 1237987 450.24
## - M.F   1     43660 1274341 451.45
## - U1    1     52263 1282944 451.73
## <none>              1230682 451.99
## - U2    1    111139 1341820 453.62
## - Po1   1    112813 1343494 453.67
## - M     1    140056 1370738 454.51
## - Prob  1    188436 1419117 455.97
## - Ed    1    296734 1527415 459.06
## - Ineq  1    713755 1944436 469.20
## 
## Step:  AIC=450.24
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     49684 1287671 449.89
## - U1    1     50228 1288215 449.91
## <none>              1237987 450.24
## - U2    1    111363 1349349 451.85
## - M     1    137686 1375673 452.66
## - Prob  1    193147 1431134 454.32
## - Ed    1    289509 1527496 457.06
## - Ineq  1    766006 2003993 468.47
## - Po1   1   1405186 2643173 480.09
## 
## Step:  AIC=449.89
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     16596 1304267 448.43
## <none>              1287671 449.89
## - U2    1     78338 1366009 450.37
## - M     1    187051 1474722 453.59
## - Prob  1    194355 1482026 453.79
## - Ed    1    454100 1741771 460.58
## - Ineq  1    933497 2221167 470.79
## - Po1   1   1688031 2975702 483.07
## 
## Step:  AIC=448.43
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1304267 448.43
## - U2    1     95496 1399763 449.39
## - M     1    184789 1489056 451.99
## - Prob  1    205600 1509867 452.57
## - Ed    1    463110 1767377 459.19
## - Ineq  1    961101 2265368 469.61
## - Po1   1   2564700 3868967 492.09
## Start:  AIC=458.55
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1       180 1081336 456.55
## - Po2     1       234 1081390 456.56
## - So      1       478 1081634 456.57
## - NW      1       554 1081710 456.57
## - LF      1       718 1081874 456.57
## - Wealth  1      4955 1086110 456.74
## - Time    1     16700 1097856 457.19
## - Pop     1     27182 1108338 457.59
## - Po1     1     43806 1124962 458.21
## <none>                1081156 458.55
## - U1      1     81947 1163103 459.62
## - Prob    1    182306 1263462 463.09
## - M       1    227496 1308652 464.57
## - U2      1    229527 1310683 464.63
## - Ineq    1    337390 1418546 467.95
## - Ed      1    403813 1484969 469.88
## 
## Step:  AIC=456.55
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       204 1081540 454.56
## - NW      1       433 1081769 454.57
## - LF      1       538 1081874 454.57
## - So      1       581 1081917 454.58
## - Wealth  1      4989 1086325 454.75
## - Time    1     17596 1098932 455.23
## - Pop     1     35889 1117225 455.92
## - Po1     1     43834 1125170 456.22
## <none>                1081336 456.55
## - U1      1    103907 1185243 458.41
## - Prob    1    183934 1265270 461.15
## - U2      1    231229 1312565 462.69
## - M       1    252376 1333712 463.36
## - Ineq    1    355601 1436937 466.49
## - Ed      1    411094 1492430 468.09
## 
## Step:  AIC=454.56
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       279 1081818 452.57
## - LF      1       368 1081907 452.58
## - So      1       576 1082115 452.58
## - Wealth  1      4794 1086334 452.75
## - Time    1     19319 1100859 453.31
## - Pop     1     36080 1117620 453.94
## <none>                1081540 454.56
## - U1      1    104759 1186299 456.44
## - Prob    1    202832 1284372 459.78
## - U2      1    231818 1313358 460.72
## - M       1    257185 1338725 461.52
## - Ineq    1    358846 1440386 464.60
## - Ed      1    423875 1505415 466.45
## - Po1     1    828779 1910319 476.45
## 
## Step:  AIC=452.57
## .outcome ~ So + M + Ed + Po1 + LF + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       244 1082062 450.58
## - So      1       877 1082695 450.61
## - Wealth  1      4526 1086344 450.75
## - Time    1     19716 1101534 451.33
## - Pop     1     35869 1117688 451.94
## <none>                1081818 452.57
## - U1      1    104714 1186532 454.45
## - Prob    1    221711 1303529 458.40
## - U2      1    231549 1313368 458.72
## - M       1    282360 1364178 460.31
## - Ineq    1    359283 1441102 462.62
## - Ed      1    435034 1516852 464.77
## - Po1     1   1077358 2159177 479.60
## 
## Step:  AIC=450.58
## .outcome ~ So + M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1383 1083445 448.64
## - Wealth  1      4325 1086387 448.75
## - Time    1     19473 1101535 449.33
## - Pop     1     35632 1117694 449.94
## <none>                1082062 450.58
## - U1      1    110388 1192450 452.66
## - Prob    1    222289 1304351 456.43
## - U2      1    231340 1313402 456.72
## - M       1    284103 1366165 458.37
## - Ineq    1    405186 1487248 461.94
## - Ed      1    507706 1589768 464.74
## - Po1     1   1082263 2164325 477.70
## 
## Step:  AIC=448.64
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      4351 1087796 446.80
## - Time    1     19042 1102487 447.37
## - Pop     1     35074 1118520 447.97
## <none>                1083445 448.64
## - U1      1    122662 1206108 451.14
## - U2      1    248971 1332416 455.32
## - Prob    1    250759 1334205 455.38
## - M       1    344479 1427924 458.23
## - Ineq    1    492373 1575818 462.37
## - Ed      1    512590 1596036 462.91
## - Po1     1   1155537 2238983 477.12
## 
## Step:  AIC=446.8
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     19253 1107050 445.54
## - Pop   1     33947 1121743 446.09
## <none>              1087796 446.80
## - U1    1    133443 1221239 449.66
## - U2    1    270480 1358276 454.13
## - Prob  1    275679 1363475 454.29
## - M     1    340128 1427924 456.23
## - Ed    1    586550 1674346 462.92
## - Ineq  1    714105 1801901 466.00
## - Po1   1   1548368 2636164 481.98
## 
## Step:  AIC=445.54
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1107050 445.54
## - Pop   1     59458 1166507 445.74
## - U1    1    114888 1221938 447.69
## - U2    1    251500 1358550 452.14
## - Prob  1    294951 1402001 453.46
## - M     1    320899 1427949 454.23
## - Ed    1    656973 1764022 463.11
## - Ineq  1    747037 1854087 465.20
## - Po1   1   1699867 2806917 482.62
## Start:  AIC=452.17
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1        91 1157326 450.17
## - Pop     1       692 1157927 450.19
## - LF      1      1338 1158573 450.21
## - So      1      8059 1165294 450.45
## - NW      1     13114 1170348 450.63
## - Wealth  1     15886 1173121 450.73
## - M.F     1     28291 1185525 451.16
## - Po2     1     34892 1192127 451.38
## - Prob    1     55335 1212569 452.08
## <none>                1157235 452.17
## - U1      1     60095 1217330 452.24
## - M       1    105832 1263066 453.75
## - Po1     1    115651 1272886 454.07
## - U2      1    139903 1297137 454.85
## - Ineq    1    268685 1425919 458.73
## - Ed      1    416450 1573685 462.77
## 
## Step:  AIC=450.17
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       944 1158270 448.20
## - LF      1      1254 1158580 448.21
## - So      1      9316 1166642 448.50
## - Wealth  1     15938 1173263 448.73
## - NW      1     16028 1173354 448.73
## - M.F     1     28920 1186246 449.18
## - Po2     1     35505 1192831 449.41
## <none>                1157326 450.17
## - U1      1     60136 1217461 450.25
## - Prob    1     79229 1236554 450.88
## - M       1    105745 1263070 451.75
## - Po1     1    116172 1273498 452.09
## - U2      1    139852 1297177 452.85
## - Ineq    1    273568 1430894 456.87
## - Ed      1    418098 1575423 460.81
## 
## Step:  AIC=448.2
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      1477 1159747 446.26
## - So      1     10264 1168533 446.57
## - Wealth  1     15489 1173759 446.75
## - NW      1     15735 1174004 446.76
## - Po2     1     34569 1192838 447.41
## - M.F     1     45058 1203327 447.77
## <none>                1158270 448.20
## - U1      1     61097 1219367 448.31
## - Prob    1     79056 1237326 448.91
## - M       1    105326 1263595 449.77
## - Po1     1    118174 1276444 450.19
## - U2      1    138925 1297195 450.85
## - Ineq    1    283103 1441372 455.17
## - Ed      1    418255 1576524 458.84
## 
## Step:  AIC=446.26
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     14259 1174005 444.76
## - Wealth  1     15801 1175548 444.81
## - So      1     19785 1179532 444.95
## - Po2     1     33095 1192842 445.41
## - M.F     1     53116 1212863 446.09
## <none>                1159747 446.26
## - U1      1     64627 1224374 446.48
## - Prob    1     79302 1239049 446.97
## - M       1    109654 1269401 447.96
## - Po1     1    117013 1276759 448.20
## - U2      1    137475 1297221 448.85
## - Ineq    1    281947 1441693 453.18
## - Ed      1    422961 1582707 457.00
## 
## Step:  AIC=444.76
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     11349 1185354 443.15
## - So      1     29957 1203962 443.79
## - Po2     1     30832 1204837 443.82
## - M.F     1     49213 1223218 444.44
## <none>                1174005 444.76
## - U1      1     67058 1241063 445.03
## - Prob    1     74655 1248660 445.28
## - Po1     1    119999 1294004 446.75
## - U2      1    143756 1317761 447.49
## - M       1    163924 1337930 448.12
## - Ineq    1    286647 1460652 451.71
## - Ed      1    409507 1583512 455.02
## 
## Step:  AIC=443.15
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     31162 1216516 442.22
## - Po2   1     33273 1218627 442.29
## <none>              1185354 443.15
## - M.F   1     63539 1248893 443.29
## - U1    1     82775 1268129 443.92
## - Po1   1    130991 1316345 445.45
## - Prob  1    149358 1334712 446.02
## - M     1    157895 1343249 446.28
## - U2    1    181340 1366694 446.99
## - Ineq  1    360876 1546230 452.05
## - Ed    1    432525 1617879 453.91
## 
## Step:  AIC=442.22
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     23344 1239860 440.99
## - M.F   1     58933 1275449 442.15
## <none>              1216516 442.22
## - Po1   1    112841 1329357 443.85
## - U1    1    121478 1337994 444.12
## - Prob  1    143257 1359773 444.78
## - M     1    197088 1413604 446.37
## - U2    1    238821 1455337 447.56
## - Ed    1    409038 1625554 452.10
## - Ineq  1    572556 1789072 456.03
## 
## Step:  AIC=440.99
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1239860 440.99
## - M.F   1     85344 1325204 441.72
## - U1    1    110202 1350062 442.49
## - Prob  1    150167 1390027 443.68
## - M     1    184706 1424566 444.69
## - U2    1    227782 1467642 445.91
## - Ed    1    385826 1625686 450.10
## - Ineq  1    611875 1851735 455.44
## - Po1   1   1128736 2368596 465.53
## Start:  AIC=457.81
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      2734 1065085 455.92
## - So      1      3255 1065606 455.94
## - Time    1     33972 1096323 457.13
## - NW      1     37752 1100103 457.28
## - LF      1     38540 1100891 457.31
## <none>                1062351 457.81
## - Wealth  1     88112 1150463 459.16
## - M.F     1     97241 1159592 459.49
## - Po2     1     98751 1161102 459.54
## - U2      1    136155 1198505 460.87
## - U1      1    146007 1208357 461.22
## - M       1    164865 1227216 461.87
## - Po1     1    202070 1264421 463.12
## - Prob    1    211669 1274020 463.44
## - Ed      1    225763 1288114 463.90
## - Ineq    1    413104 1475455 469.61
## 
## Step:  AIC=455.92
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      3440 1068525 454.05
## - NW      1     38839 1103924 455.42
## - Time    1     41741 1106826 455.53
## - LF      1     45694 1110779 455.68
## <none>                1065085 455.92
## - Wealth  1     87530 1152615 457.23
## - Po2     1     96961 1162046 457.58
## - M.F     1    115542 1180627 458.24
## - U2      1    135863 1200948 458.96
## - U1      1    156877 1221962 459.69
## - M       1    175891 1240976 460.34
## - Po1     1    200194 1265279 461.15
## - Prob    1    213939 1279024 461.61
## - Ed      1    227812 1292897 462.06
## - Ineq    1    420089 1485174 467.88
## 
## Step:  AIC=454.05
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     36310 1104835 453.46
## - Time    1     39006 1107531 453.56
## - LF      1     44441 1112966 453.76
## <none>                1068525 454.05
## - Wealth  1     84185 1152710 455.24
## - Po2     1     94389 1162914 455.61
## - M.F     1    112113 1180638 456.24
## - U2      1    133151 1201676 456.99
## - U1      1    164801 1233326 458.08
## - M       1    172587 1241113 458.34
## - Po1     1    197785 1266310 459.19
## - Ed      1    225530 1294056 460.10
## - Prob    1    226048 1294573 460.11
## - Ineq    1    452981 1521507 466.90
## 
## Step:  AIC=453.46
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     24137 1128972 452.36
## - LF      1     31114 1135949 452.62
## <none>                1104835 453.46
## - Po2     1     69127 1173963 454.01
## - Wealth  1     72810 1177645 454.14
## - M.F     1     92651 1197486 454.84
## - U2      1    138694 1243529 456.42
## - U1      1    152183 1257019 456.88
## - Po1     1    171499 1276334 457.52
## - Prob    1    189743 1294578 458.11
## - Ed      1    204694 1309530 458.60
## - M       1    257915 1362750 460.27
## - Ineq    1    571825 1676660 468.98
## 
## Step:  AIC=452.36
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     40580 1169553 451.85
## - Po2     1     50914 1179887 452.22
## <none>                1128972 452.36
## - Wealth  1     68689 1197661 452.84
## - U2      1    131395 1260367 454.99
## - M.F     1    142261 1271233 455.35
## - Po1     1    148048 1277020 455.54
## - U1      1    149156 1278128 455.58
## - Prob    1    175664 1304637 456.44
## - M       1    237041 1366013 458.37
## - Ed      1    237645 1366617 458.39
## - Ineq    1    564281 1693253 467.39
## 
## Step:  AIC=451.85
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     34396 1203948 451.06
## <none>                1169553 451.85
## - Wealth  1     61734 1231287 452.01
## - M.F     1    102620 1272173 453.38
## - U1      1    112878 1282430 453.72
## - Po1     1    125539 1295092 454.13
## - U2      1    131962 1301514 454.34
## - Prob    1    149683 1319236 454.91
## - Ed      1    200531 1370084 456.49
## - M       1    247450 1417003 457.91
## - Ineq    1    541624 1711177 465.83
## 
## Step:  AIC=451.06
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1203948 451.06
## - Wealth  1     65060 1269009 451.28
## - M.F     1     90582 1294530 452.11
## - U1      1    102337 1306286 452.49
## - U2      1    126141 1330090 453.25
## - Prob    1    168595 1372543 454.57
## - Ed      1    190309 1394257 455.23
## - M       1    255859 1459807 457.16
## - Ineq    1    557624 1761572 465.05
## - Po1     1    873105 2077054 471.97
## Start:  AIC=473.72
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1769 1245739 471.78
## - Wealth  1      8405 1252375 472.01
## - So      1     14421 1258392 472.22
## - Pop     1     18813 1262783 472.37
## - LF      1     22831 1266801 472.50
## - Po2     1     25138 1269108 472.58
## - NW      1     27719 1271689 472.67
## - M.F     1     54486 1298456 473.57
## <none>                1243970 473.72
## - Prob    1     76955 1320925 474.30
## - U1      1     84481 1328451 474.55
## - M       1    123064 1367034 475.78
## - Po1     1    124838 1368808 475.83
## - U2      1    155101 1399071 476.78
## - Ineq    1    424785 1668755 484.35
## - Ed      1    426996 1670967 484.41
## 
## Step:  AIC=471.78
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     11171 1256911 470.17
## - So      1     13388 1259128 470.24
## - Pop     1     17127 1262867 470.37
## - LF      1     22639 1268379 470.56
## - NW      1     28402 1274141 470.75
## - Po2     1     33736 1279476 470.93
## - M.F     1     52724 1298464 471.57
## <none>                1245739 471.78
## - U1      1     90500 1336240 472.80
## - M       1    132406 1378145 474.13
## - Po1     1    144178 1389918 474.49
## - Prob    1    150455 1396195 474.69
## - U2      1    163767 1409506 475.09
## - Ineq    1    423280 1669019 482.36
## - Ed      1    427092 1672832 482.46
## 
## Step:  AIC=470.17
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     11819 1268730 468.57
## - Pop   1     13276 1270187 468.62
## - LF    1     18663 1275574 468.80
## - NW    1     24541 1281452 469.00
## - Po2   1     32115 1289026 469.25
## - M.F   1     56289 1313200 470.05
## <none>              1256911 470.17
## - U1    1     94587 1351498 471.29
## - M     1    128838 1385749 472.36
## - Po1   1    149965 1406876 473.01
## - Prob  1    160166 1417077 473.32
## - U2    1    177744 1434655 473.86
## - Ed    1    448711 1705622 481.29
## - Ineq  1    495517 1752428 482.46
## 
## Step:  AIC=468.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      9815 1278546 466.90
## - Pop   1     13732 1282463 467.03
## - NW    1     15914 1284645 467.11
## - Po2   1     30525 1299255 467.59
## - M.F   1     50061 1318792 468.23
## <none>              1268730 468.57
## - U1    1     82912 1351642 469.29
## - M     1    123476 1392207 470.56
## - Po1   1    146898 1415629 471.28
## - U2    1    167188 1435918 471.89
## - Prob  1    207164 1475894 473.07
## - Ed    1    437884 1706614 479.32
## - Ineq  1    516201 1784932 481.25
## 
## Step:  AIC=466.9
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      9552 1288098 465.22
## - Pop   1     15348 1293894 465.41
## - Po2   1     22193 1300739 465.64
## - M.F   1     40684 1319229 466.25
## <none>              1278546 466.90
## - U1    1     73100 1351646 467.29
## - Po1   1    137180 1415726 469.28
## - U2    1    169585 1448130 470.26
## - M     1    174844 1453390 470.41
## - Prob  1    199460 1478006 471.14
## - Ed    1    473669 1752215 478.45
## - Ineq  1    533627 1812173 479.90
## 
## Step:  AIC=465.22
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     11771 1299868 463.61
## - Po2   1     16330 1304427 463.76
## - M.F   1     41185 1329283 464.57
## <none>              1288098 465.22
## - U1    1     91421 1379518 466.17
## - Po1   1    128879 1416976 467.32
## - Prob  1    198020 1486118 469.37
## - U2    1    206527 1494624 469.62
## - M     1    316865 1604963 472.68
## - Ed    1    472167 1760265 476.65
## - Ineq  1    785339 2073437 483.69
## 
## Step:  AIC=463.61
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     14065 1313934 462.08
## <none>              1299868 463.61
## - M.F   1     78867 1378735 464.15
## - U1    1     97170 1397039 464.71
## - Po1   1    118956 1418825 465.38
## - Prob  1    186249 1486118 467.37
## - U2    1    203809 1503677 467.88
## - M     1    334676 1634545 471.46
## - Ed    1    464988 1764856 474.76
## - Ineq  1    794609 2094477 482.13
## 
## Step:  AIC=462.08
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1313934 462.08
## - M.F   1     94612 1408546 463.07
## - U1    1    100787 1414721 463.25
## - Prob  1    190615 1504549 465.90
## - U2    1    210794 1524728 466.47
## - M     1    330584 1644517 469.73
## - Ed    1    453110 1767043 472.82
## - Ineq  1    830466 2144400 481.14
## - Po1   1   1634755 2948689 494.83
## Start:  AIC=446.12
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       749  999392 444.15
## - Time    1     16190 1014833 444.78
## - So      1     35007 1033650 445.54
## <none>                 998643 446.12
## - NW      1     65619 1064262 446.73
## - LF      1     87998 1086641 447.59
## - M.F     1     93535 1092178 447.79
## - Po2     1    108008 1106650 448.33
## - Wealth  1    146468 1145110 449.74
## - Prob    1    177324 1175966 450.83
## - U1      1    193576 1192219 451.39
## - Po1     1    221212 1219854 452.33
## - U2      1    258956 1257599 453.58
## - M       1    318800 1317443 455.48
## - Ed      1    460367 1459009 459.67
## - Ineq    1    473851 1472493 460.04
## 
## Step:  AIC=444.15
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     19315 1018707 442.94
## - So      1     35654 1035046 443.59
## <none>                 999392 444.15
## - NW      1     67286 1066678 444.83
## - LF      1     97305 1096697 445.96
## - Po2     1    109614 1109006 446.42
## - M.F     1    124810 1124202 446.98
## - Wealth  1    145776 1145168 447.74
## - Prob    1    177193 1176584 448.85
## - U1      1    214142 1213534 450.11
## - Po1     1    220584 1219976 450.33
## - U2      1    263778 1263170 451.76
## - M       1    329322 1328714 453.83
## - Ed      1    462954 1462346 457.76
## - Ineq    1    492072 1491464 458.57
## 
## Step:  AIC=442.94
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     27891 1046599 442.05
## <none>                1018707 442.94
## - NW      1     51548 1070256 442.96
## - Po2     1     90636 1109344 444.43
## - LF      1     94676 1113383 444.58
## - Wealth  1    135503 1154211 446.06
## - Prob    1    171825 1190532 447.33
## - M.F     1    172146 1190853 447.34
## - Po1     1    202035 1220742 448.36
## - U1      1    205601 1224308 448.48
## - U2      1    248693 1267400 449.90
## - M       1    311046 1329753 451.86
## - Ed      1    462475 1481183 456.29
## - Ineq    1    484483 1503190 456.89
## 
## Step:  AIC=442.05
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     28898 1075496 441.16
## <none>                1046599 442.05
## - LF      1     67099 1113698 442.59
## - Po2     1     81120 1127719 443.11
## - Wealth  1    113698 1160297 444.28
## - M.F     1    148408 1195006 445.48
## - U1      1    178272 1224871 446.50
## - Po1     1    193457 1240056 447.00
## - U2      1    221886 1268484 447.93
## - Prob    1    236999 1283598 448.42
## - M       1    292090 1338688 450.14
## - Ed      1    448595 1495193 454.67
## - Ineq    1    461929 1508528 455.04
## 
## Step:  AIC=441.16
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     52545 1128042 441.12
## <none>                1075496 441.16
## - Po2     1     62928 1138424 441.49
## - Wealth  1    106137 1181633 443.02
## - M.F     1    123811 1199307 443.63
## - Po1     1    175583 1251079 445.36
## - U1      1    176450 1251947 445.39
## - Prob    1    208166 1283662 446.42
## - U2      1    242189 1317685 447.49
## - Ed      1    424179 1499676 452.79
## - M       1    443287 1518783 453.31
## - Ineq    1    592857 1668353 457.16
## 
## Step:  AIC=441.12
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     41854 1169896 440.61
## <none>                1128042 441.12
## - M.F     1     73657 1201698 441.71
## - Wealth  1     92685 1220727 442.36
## - U1      1    130089 1258131 443.59
## - Po1     1    147222 1275264 444.15
## - Prob    1    174871 1302913 445.03
## - U2      1    248539 1376580 447.28
## - Ed      1    373235 1501277 450.84
## - M       1    462802 1590843 453.21
## - Ineq    1    561771 1689813 455.69
## 
## Step:  AIC=440.61
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1169896 440.61
## - Wealth  1     90722 1260618 441.68
## - M.F     1     96358 1266254 441.86
## - U1      1    138932 1308829 443.21
## - Prob    1    179774 1349670 444.47
## - U2      1    252776 1422672 446.63
## - Ed      1    346315 1516211 449.24
## - M       1    457000 1626896 452.13
## - Ineq    1    575696 1745592 455.02
## - Po1     1    928782 2098678 462.57
## Start:  AIC=485.58
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1227 1320887 483.62
## - LF      1      4381 1324041 483.73
## - Time    1      8054 1327714 483.85
## - Pop     1      9283 1328942 483.89
## - NW      1     13804 1333464 484.04
## - M.F     1     23563 1343223 484.36
## - Po2     1     28983 1348643 484.54
## - Wealth  1     34763 1354422 484.73
## - U1      1     56364 1376024 485.42
## <none>                1319660 485.58
## - Po1     1    124156 1443816 487.54
## - U2      1    148885 1468545 488.29
## - M       1    163486 1483146 488.72
## - Prob    1    174962 1494622 489.06
## - Ed      1    351443 1671103 493.97
## - Ineq    1    365586 1685245 494.34
## 
## Step:  AIC=483.62
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      9359 1330246 481.93
## - Time    1      9445 1330332 481.94
## - LF      1      9455 1330342 481.94
## - NW      1     22159 1343046 482.36
## - M.F     1     26309 1347196 482.49
## - Po2     1     30764 1351651 482.64
## - Wealth  1     40179 1361066 482.94
## <none>                1320887 483.62
## - U1      1     76161 1397048 484.09
## - Po1     1    126637 1447524 485.65
## - U2      1    167030 1487917 486.86
## - M       1    169791 1490678 486.94
## - Prob    1    173743 1494630 487.06
## - Ed      1    358147 1679034 492.18
## - Ineq    1    445706 1766593 494.42
## 
## Step:  AIC=481.93
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     13651 1343897 480.38
## - LF      1     14022 1344267 480.40
## - NW      1     21456 1351702 480.64
## - Po2     1     32000 1362245 480.98
## - Wealth  1     36707 1366953 481.13
## - M.F     1     53035 1383281 481.65
## <none>                1330246 481.93
## - U1      1     95947 1426192 483.00
## - Po1     1    122566 1452812 483.81
## - Prob    1    168108 1498354 485.17
## - U2      1    169645 1499890 485.22
## - M       1    183853 1514099 485.63
## - Ed      1    355281 1685526 490.35
## - Ineq    1    453722 1783968 492.85
## 
## Step:  AIC=480.38
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     13195 1357092 478.81
## - LF      1     14122 1358019 478.84
## - Po2     1     21559 1365456 479.08
## - Wealth  1     32288 1376185 479.43
## <none>                1343897 480.38
## - M.F     1     80659 1424556 480.95
## - U1      1     93896 1437793 481.35
## - Po1     1    108915 1452812 481.81
## - U2      1    163477 1507374 483.43
## - M       1    175269 1519166 483.78
## - Prob    1    190821 1534718 484.23
## - Ed      1    359671 1703568 488.82
## - Ineq    1    453498 1797395 491.18
## 
## Step:  AIC=478.81
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      9546 1366639 477.12
## - Po2     1     15829 1372921 477.32
## - Wealth  1     28931 1386023 477.74
## <none>                1357092 478.81
## - M.F     1     69774 1426867 479.02
## - U1      1     94160 1451252 479.76
## - Po1     1    101808 1458900 480.00
## - U2      1    175685 1532777 482.17
## - Prob    1    179262 1536354 482.27
## - M       1    266516 1623609 484.70
## - Ed      1    346893 1703986 486.83
## - Ineq    1    536920 1894012 491.48
## 
## Step:  AIC=477.12
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     10417 1377056 475.46
## - Wealth  1     28133 1394772 476.02
## - M.F     1     61437 1428076 477.06
## <none>                1366639 477.12
## - U1      1     84616 1451254 477.76
## - Po1     1     92523 1459162 478.00
## - Prob    1    169867 1536505 480.28
## - U2      1    179242 1545881 480.54
## - M       1    286480 1653119 483.50
## - Ed      1    344510 1711148 485.01
## - Ineq    1    527927 1894566 489.49
## 
## Step:  AIC=475.46
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     28943 1405999 474.37
## <none>                1377056 475.46
## - M.F     1     70600 1447656 475.66
## - U1      1     84413 1461468 476.07
## - Prob    1    173049 1550105 478.66
## - U2      1    181149 1558205 478.89
## - M       1    282833 1659889 481.68
## - Ed      1    335205 1712261 483.04
## - Ineq    1    553037 1930093 488.31
## - Po1     1   1080095 2457151 498.93
## 
## Step:  AIC=474.37
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1405999 474.37
## - M.F   1     88020 1494019 475.04
## - U1    1    109936 1515935 475.68
## - Prob  1    220338 1626337 478.78
## - U2    1    225933 1631933 478.93
## - M     1    258718 1664718 479.80
## - Ed    1    389579 1795579 483.13
## - Ineq  1    655613 2061612 489.21
## - Po1   1   1619001 3025000 506.08
## Start:  AIC=462.63
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1        59 1191548 460.63
## - Time    1       398 1191887 460.64
## - So      1      8506 1199995 460.93
## - Po2     1     13197 1204685 461.09
## - NW      1     19341 1210829 461.30
## - Wealth  1     22657 1214145 461.42
## - M.F     1     49155 1240644 462.33
## - M       1     55372 1246860 462.54
## - Pop     1     55874 1247362 462.55
## <none>                1191488 462.63
## - U1      1     70457 1261946 463.04
## - Po1     1     82116 1273605 463.43
## - U2      1    106119 1297608 464.21
## - Prob    1    191627 1383115 466.89
## - Ed      1    268448 1459936 469.16
## - Ineq    1    360550 1552039 471.73
## 
## Step:  AIC=460.63
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       373 1191921 458.64
## - So      1      9916 1201464 458.98
## - Po2     1     15410 1206958 459.17
## - NW      1     22216 1213764 459.41
## - Wealth  1     23655 1215203 459.46
## - M       1     55428 1246976 460.54
## - Pop     1     56301 1247849 460.57
## <none>                1191548 460.63
## - M.F     1     60658 1252206 460.72
## - U1      1     81671 1273219 461.41
## - Po1     1     90107 1281655 461.69
## - U2      1    106252 1297800 462.22
## - Prob    1    194986 1386534 465.00
## - Ed      1    294539 1486087 467.91
## - Ineq    1    378981 1570529 470.23
## 
## Step:  AIC=458.64
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      9543 1201464 456.98
## - Po2     1     19037 1210957 457.31
## - Wealth  1     24500 1216421 457.50
## - NW      1     25401 1217322 457.53
## <none>                1191921 458.64
## - Pop     1     58429 1250349 458.65
## - M       1     62667 1254587 458.80
## - M.F     1     62944 1254865 458.80
## - U1      1     85396 1277317 459.55
## - Po1     1    100470 1292391 460.04
## - U2      1    114013 1305934 460.48
## - Prob    1    253288 1445208 464.74
## - Ed      1    295274 1487194 465.94
## - Ineq    1    378700 1570621 468.23
## 
## Step:  AIC=456.98
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     16529 1217993 455.55
## - Wealth  1     29477 1230941 456.00
## - NW      1     36294 1237758 456.23
## <none>                1201464 456.98
## - M.F     1     59215 1260679 457.00
## - Pop     1     61097 1262561 457.06
## - M       1     75492 1276956 457.54
## - Po1     1     94691 1296155 458.16
## - U1      1    109644 1311108 458.65
## - U2      1    149514 1350978 459.90
## - Prob    1    257960 1459423 463.15
## - Ed      1    294502 1495966 464.19
## - Ineq    1    453920 1655384 468.44
## 
## Step:  AIC=455.55
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     29478 1247471 454.56
## - NW      1     29705 1247698 454.56
## - Pop     1     51547 1269540 455.29
## <none>                1217993 455.55
## - M.F     1     84055 1302048 456.35
## - M       1     85525 1303518 456.40
## - U1      1    115290 1333283 457.35
## - U2      1    164880 1382873 458.88
## - Prob    1    253124 1471116 461.48
## - Ed      1    285201 1503194 462.39
## - Ineq    1    477096 1695088 467.43
## - Po1     1    739706 1957699 473.48
## 
## Step:  AIC=454.56
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     22929 1270399 453.32
## - Pop   1     44977 1292448 454.04
## <none>              1247471 454.56
## - M     1     73250 1320721 454.95
## - M.F   1    104825 1352295 455.95
## - U1    1    159575 1407045 457.61
## - U2    1    215568 1463039 459.25
## - Prob  1    264686 1512157 460.64
## - Ed    1    341472 1588943 462.72
## - Ineq  1    531658 1779129 467.47
## - Po1   1    947392 2194863 476.29
## 
## Step:  AIC=453.32
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     41316 1311716 452.67
## <none>              1270399 453.32
## - M.F   1     88017 1358416 454.13
## - M     1    139411 1409810 455.69
## - U1    1    160639 1431038 456.32
## - U2    1    225607 1496007 458.19
## - Prob  1    243906 1514305 458.70
## - Ed    1    332619 1603019 461.09
## - Ineq  1    710138 1980538 469.97
## - Po1   1   1190028 2460427 479.08
## 
## Step:  AIC=452.67
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1311716 452.67
## - U1    1    175865 1487581 455.95
## - M.F   1    180476 1492191 456.08
## - M     1    180526 1492241 456.08
## - Prob  1    211557 1523272 456.95
## - U2    1    237148 1548864 457.65
## - Ed    1    363720 1675435 460.94
## - Ineq  1    669282 1980997 467.98
## - Po1   1   1232605 2544321 478.49
## Start:  AIC=467.06
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5830 1329877 465.24
## - Time    1     12214 1336261 465.44
## - Pop     1     15364 1339411 465.54
## - LF      1     17912 1341958 465.62
## - Po2     1     21968 1346014 465.75
## - NW      1     24371 1348417 465.82
## - M.F     1     36997 1361044 466.22
## - Wealth  1     45314 1369361 466.47
## <none>                1324047 467.06
## - Po1     1     99880 1423927 468.11
## - U1      1    101698 1425745 468.17
## - Prob    1    167281 1491327 470.06
## - M       1    169565 1493612 470.12
## - U2      1    190407 1514453 470.70
## - Ed      1    382991 1707037 475.73
## - Ineq    1    396815 1720861 476.07
## 
## Step:  AIC=465.24
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     10651 1340527 463.58
## - LF      1     12175 1342052 463.63
## - Pop     1     13055 1342932 463.65
## - NW      1     18603 1348480 463.83
## - Po2     1     22953 1352829 463.96
## - M.F     1     33663 1363539 464.29
## - Wealth  1     39592 1369469 464.48
## <none>                1329877 465.24
## - U1      1     98389 1428266 466.24
## - Po1     1    104403 1434280 466.42
## - M       1    165106 1494983 468.16
## - U2      1    185508 1515385 468.73
## - Prob    1    188228 1518104 468.80
## - Ed      1    377251 1707128 473.73
## - Ineq    1    457057 1786934 475.65
## 
## Step:  AIC=463.58
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11210 1351737 461.93
## - NW      1     12664 1353191 461.97
## - Po2     1     14996 1355524 462.05
## - Pop     1     22576 1363104 462.28
## - Wealth  1     36237 1376764 462.70
## - M.F     1     41758 1382285 462.87
## <none>                1340527 463.58
## - U1      1     92108 1432635 464.37
## - Po1     1     93757 1434284 464.42
## - M       1    156124 1496651 466.20
## - U2      1    179585 1520113 466.86
## - Prob    1    215221 1555748 467.83
## - Ed      1    376934 1717461 471.98
## - Ineq    1    468900 1809427 474.18
## 
## Step:  AIC=461.93
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      8907 1360644 460.20
## - NW      1      9106 1360843 460.21
## - Pop     1     29993 1381730 460.85
## - M.F     1     30566 1382303 460.87
## - Wealth  1     33518 1385255 460.96
## <none>                1351737 461.93
## - U1      1     81442 1433179 462.38
## - Po1     1     83541 1435278 462.45
## - M       1    174407 1526144 465.02
## - U2      1    190808 1542545 465.47
## - Prob    1    204127 1555864 465.83
## - Ed      1    388463 1740200 470.54
## - Ineq    1    461251 1812988 472.26
## 
## Step:  AIC=460.2
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      6153 1366797 458.39
## - Pop     1     29038 1389682 459.09
## - Wealth  1     32240 1392884 459.19
## - M.F     1     36798 1397442 459.32
## <none>                1360644 460.20
## - U1      1     86048 1446692 460.78
## - M       1    171228 1531872 463.18
## - Prob    1    198407 1559051 463.92
## - U2      1    202298 1562942 464.03
## - Ed      1    379771 1740415 468.54
## - Ineq    1    488942 1849586 471.10
## - Po1     1    739598 2100242 476.44
## 
## Step:  AIC=458.39
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     27820 1394617 457.24
## - Wealth  1     30331 1397128 457.31
## - M.F     1     32880 1399677 457.39
## <none>                1366797 458.39
## - U1      1     86500 1453297 458.97
## - Prob    1    195730 1562527 462.01
## - U2      1    207267 1574064 462.32
## - M       1    228604 1595401 462.89
## - Ed      1    374028 1740825 466.55
## - Ineq    1    568699 1935496 471.00
## - Po1     1    932234 2299032 478.23
## 
## Step:  AIC=457.24
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     23914 1418531 455.95
## <none>                1394617 457.24
## - M.F     1     86638 1481255 457.77
## - U1      1    106399 1501016 458.33
## - Prob    1    173962 1568579 460.18
## - U2      1    214930 1609547 461.26
## - M       1    242009 1636626 461.96
## - Ed      1    375752 1770369 465.26
## - Ineq    1    543519 1938136 469.06
## - Po1     1    991302 2385919 477.79
## 
## Step:  AIC=455.95
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1418531 455.95
## - M.F   1    107480 1526011 457.02
## - U1    1    142438 1560969 457.97
## - Prob  1    207721 1626253 459.69
## - M     1    218920 1637451 459.98
## - U2    1    274492 1693023 461.38
## - Ed    1    412300 1830832 464.67
## - Ineq  1    693095 2111626 470.66
## - Po1   1   1408098 2826629 482.91
## Start:  AIC=418.85
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq    RSS    AIC
## - So      1       401 513847 416.88
## - NW      1       916 514362 416.92
## - Po2     1      1545 514990 416.97
## - U1      1      4139 517585 417.18
## - Wealth  1      6290 519736 417.35
## - U2      1     10391 523837 417.67
## - LF      1     13152 526597 417.89
## - Pop     1     20339 533785 418.44
## - Ed      1     25280 538726 418.82
## <none>                513446 418.85
## - M.F     1     31117 544563 419.26
## - Po1     1     47158 560604 420.45
## - Time    1    131379 644825 426.19
## - M       1    154363 667808 427.63
## - Ineq    1    233323 746769 432.21
## - Prob    1    345992 859438 437.97
## 
## Step:  AIC=416.88
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq    RSS    AIC
## - Po2     1      1353 515200 414.99
## - NW      1      1635 515482 415.01
## - U1      1      6174 520021 415.37
## - Wealth  1      7278 521125 415.46
## - U2      1     11136 524984 415.76
## - LF      1     15014 528861 416.06
## - Pop     1     20030 533877 416.45
## <none>                513847 416.88
## - Ed      1     26460 540307 416.94
## - M.F     1     31446 545293 417.32
## - Po1     1     48647 562494 418.59
## - Time    1    132725 646572 424.30
## - M       1    154992 668839 425.69
## - Ineq    1    287611 801458 433.11
## - Prob    1    357207 871054 436.52
## 
## Step:  AIC=414.99
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      2549  517749 413.19
## - U1      1      6526  521726 413.50
## - Wealth  1      8213  523413 413.64
## - U2      1     10302  525502 413.80
## - LF      1     13694  528894 414.06
## - Pop     1     19420  534620 414.51
## <none>                 515200 414.99
## - Ed      1     29541  544741 415.27
## - M.F     1     30492  545692 415.35
## - Time    1    148606  663806 423.38
## - M       1    155917  671117 423.83
## - Ineq    1    287197  802397 431.15
## - Prob    1    373620  888820 435.35
## - Po1     1   1065858 1581058 458.96
## 
## Step:  AIC=413.19
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      6020  523770 411.66
## - Wealth  1      6758  524508 411.72
## - U2      1      9571  527320 411.94
## - LF      1     12344  530093 412.16
## - Pop     1     18661  536410 412.64
## <none>                 517749 413.19
## - Ed      1     30303  548052 413.52
## - M.F     1     32084  549834 413.66
## - Time    1    148125  665874 421.51
## - M       1    163186  680935 422.42
## - Ineq    1    336375  854124 431.71
## - Prob    1    419235  936985 435.51
## - Po1     1   1416853 1934603 465.24
## 
## Step:  AIC=411.66
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - U2      1      3551  527321 409.94
## - Wealth  1      9657  533426 410.41
## - LF      1     20002  543772 411.20
## - Pop     1     23996  547765 411.50
## - Ed      1     25491  549261 411.61
## <none>                 523770 411.66
## - M.F     1     73274  597044 415.03
## - Time    1    152294  676064 420.13
## - M       1    176699  700469 421.58
## - Ineq    1    384533  908303 432.24
## - Prob    1    418880  942649 433.76
## - Po1     1   2137579 2661349 476.31
## 
## Step:  AIC=409.94
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     10414  537735 408.74
## - LF      1     16919  544240 409.24
## - Pop     1     21040  548361 409.55
## - Ed      1     22453  549774 409.65
## <none>                 527321 409.94
## - M.F     1     74694  602015 413.37
## - Time    1    150223  677543 418.22
## - M       1    220268  747589 422.25
## - Ineq    1    389776  917097 430.63
## - Prob    1    416205  943525 431.80
## - Po1     1   2211932 2739252 475.49
## 
## Step:  AIC=408.74
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     15291  553026 407.89
## - Pop   1     17032  554767 408.02
## <none>               537735 408.74
## - Ed    1     30444  568179 409.00
## - M.F   1     69855  607590 411.75
## - Time  1    143535  681270 416.44
## - M     1    209855  747590 420.25
## - Prob  1    434030  971765 431.01
## - Ineq  1    480527 1018262 432.92
## - Po1   1   3310656 3848391 487.43
## 
## Step:  AIC=407.89
## .outcome ~ M + Ed + Po1 + M.F + Pop + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     14690  567716 406.97
## <none>               553026 407.89
## - M.F   1     55100  608125 409.79
## - Ed    1    100288  653314 412.73
## - Time  1    128252  681278 414.44
## - M     1    194751  747777 418.26
## - Prob  1    420127  973153 429.06
## - Ineq  1    584655 1137681 435.47
## - Po1   1   3335072 3888097 485.85
## 
## Step:  AIC=406.97
## .outcome ~ M + Ed + Po1 + M.F + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               567716 406.97
## - M.F   1     41688  609404 407.87
## - Ed    1     96947  664663 411.43
## - Time  1    141414  709130 414.09
## - M     1    214010  781725 418.08
## - Prob  1    406616  974332 427.11
## - Ineq  1    573388 1141103 433.59
## - Po1   1   4219678 4787394 492.38
## Start:  AIC=465.06
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1        26 1262586 463.06
## - Wealth  1      2619 1265179 463.15
## - So      1     14845 1277405 463.55
## - Po2     1     24196 1286756 463.86
## - NW      1     29466 1292026 464.03
## - Time    1     38344 1300904 464.32
## - M.F     1     39462 1302022 464.35
## - LF      1     40804 1303364 464.40
## <none>                1262560 465.06
## - Po1     1     73702 1336262 465.44
## - U1      1    116655 1379215 466.77
## - M       1    132773 1395333 467.26
## - U2      1    195533 1458093 469.11
## - Prob    1    219701 1482261 469.80
## - Ed      1    332394 1594954 472.88
## - Ineq    1    406541 1669102 474.79
## 
## Step:  AIC=463.06
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      2906 1265492 461.16
## - So      1     15265 1277851 461.57
## - Po2     1     24837 1287423 461.88
## - NW      1     29583 1292169 462.03
## - M.F     1     43296 1305882 462.48
## - LF      1     44080 1306666 462.50
## - Time    1     44479 1307065 462.52
## <none>                1262586 463.06
## - Po1     1     80797 1343383 463.67
## - U1      1    118796 1381382 464.84
## - M       1    132823 1395409 465.26
## - U2      1    195913 1458499 467.12
## - Prob    1    250395 1512981 468.66
## - Ed      1    332513 1595099 470.88
## - Ineq    1    428208 1690794 473.33
## 
## Step:  AIC=461.16
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     15289 1280781 459.66
## - Po2   1     24266 1289758 459.96
## - NW    1     28077 1293569 460.08
## - Time  1     44637 1310129 460.61
## - LF    1     44694 1310186 460.62
## - M.F   1     50819 1316311 460.81
## <none>              1265492 461.16
## - Po1   1     81706 1347198 461.79
## - U1    1    128068 1393560 463.21
## - M     1    131566 1397058 463.31
## - U2    1    212957 1478449 465.69
## - Prob  1    307330 1572822 468.29
## - Ed    1    343674 1609166 469.25
## - Ineq  1    530645 1796137 473.87
## 
## Step:  AIC=459.66
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     15679 1296460 458.17
## - Po2   1     22876 1303656 458.41
## - LF    1     29491 1310272 458.62
## - Time  1     34564 1315344 458.78
## - M.F   1     41185 1321966 458.99
## <none>              1280781 459.66
## - Po1   1     83658 1364439 460.32
## - U1    1    113242 1394023 461.22
## - M     1    135461 1416242 461.89
## - U2    1    198100 1478881 463.70
## - Prob  1    292295 1573076 466.30
## - Ed    1    336421 1617202 467.46
## - Ineq  1    558222 1839003 472.86
## 
## Step:  AIC=458.17
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     14252 1310711 456.63
## - LF    1     23999 1320459 456.94
## - Time  1     24941 1321400 456.97
## - M.F   1     37182 1333642 457.36
## <none>              1296460 458.17
## - Po1   1     72205 1368665 458.45
## - U1    1    107015 1403475 459.51
## - M     1    193046 1489506 462.00
## - U2    1    199309 1495769 462.18
## - Prob  1    280438 1576898 464.40
## - Ed    1    320855 1617315 465.46
## - Ineq  1    725648 2022108 474.84
## 
## Step:  AIC=456.63
## .outcome ~ M + Ed + Po1 + LF + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     17413 1328124 455.19
## - Time  1     17598 1328310 455.19
## - M.F   1     36646 1347357 455.79
## <none>              1310711 456.63
## - U1    1     96108 1406819 457.61
## - M     1    189362 1500074 460.30
## - U2    1    191268 1501979 460.35
## - Prob  1    279704 1590415 462.76
## - Ed    1    307177 1617888 463.48
## - Po1   1    706370 2017081 472.74
## - Ineq  1    739363 2050075 473.42
## 
## Step:  AIC=455.19
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     21887 1350011 453.87
## - M.F   1     22414 1350538 453.89
## <none>              1328124 455.19
## - U1    1     82298 1410422 455.71
## - U2    1    202386 1530510 459.14
## - M     1    231699 1559823 459.94
## - Prob  1    264581 1592705 460.82
## - Ed    1    290061 1618185 461.48
## - Ineq  1    722325 2050449 471.43
## - Po1   1    777801 2105925 472.55
## 
## Step:  AIC=453.87
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     43076 1393087 453.19
## <none>              1350011 453.87
## - U1    1     80761 1430772 454.31
## - U2    1    194864 1544875 457.54
## - M     1    214687 1564699 458.07
## - Prob  1    289355 1639367 460.03
## - Ed    1    297217 1647229 460.23
## - Ineq  1    700918 2050930 469.44
## - Po1   1    851463 2201474 472.41
## 
## Step:  AIC=453.19
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     53061 1446147 452.76
## <none>              1393087 453.19
## - U2    1    179962 1573049 456.30
## - M     1    319111 1712198 459.86
## - Prob  1    320111 1713198 459.88
## - Ed    1    678341 2071428 467.86
## - Po1   1    815704 2208791 470.55
## - Ineq  1    873006 2266093 471.63
## 
## Step:  AIC=452.76
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1446147 452.76
## - U2    1    189511 1635658 455.94
## - M     1    294404 1740551 458.55
## - Prob  1    346591 1792739 459.79
## - Ed    1    667163 2113310 466.70
## - Ineq  1    878999 2325147 470.71
## - Po1   1   1095371 2541518 474.45
## Start:  AIC=450.82
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1400  900984 448.89
## - M.F     1      2914  902498 448.96
## - LF      1      4760  904344 449.05
## - So      1     10833  910417 449.33
## - U1      1     16367  915951 449.58
## - Wealth  1     22226  921810 449.85
## - NW      1     26316  925900 450.04
## <none>                 899584 450.82
## - Po2     1     76966  976550 452.27
## - U2      1     94641  994225 453.03
## - Time    1    117864 1017448 454.00
## - M       1    165181 1064766 455.91
## - Po1     1    182488 1082072 456.58
## - Prob    1    241370 1140954 458.81
## - Ineq    1    372362 1271946 463.37
## - Ed      1    559964 1459549 469.15
## 
## Step:  AIC=448.89
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      5332  906316 447.14
## - M.F     1      5333  906318 447.14
## - So      1     10843  911828 447.39
## - U1      1     17388  918372 447.69
## - Wealth  1     23450  924434 447.97
## - NW      1     29290  930274 448.23
## <none>                 900984 448.89
## - Po2     1     75838  976823 450.28
## - U2      1     93412  994396 451.03
## - Time    1    140235 1041219 452.97
## - M       1    163786 1064770 453.91
## - Po1     1    183036 1084020 454.66
## - Prob    1    240236 1141220 456.82
## - Ineq    1    370986 1271970 461.37
## - Ed      1    564148 1465132 467.31
## 
## Step:  AIC=447.14
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      1971  908287 445.23
## - U1      1     12389  918705 445.71
## - Wealth  1     21645  927961 446.13
## - So      1     23985  930301 446.23
## - NW      1     24669  930985 446.27
## <none>                 906316 447.14
## - Po2     1     70576  976892 448.29
## - U2      1     90450  996766 449.13
## - Time    1    138935 1045251 451.13
## - M       1    172614 1078930 452.46
## - Po1     1    178816 1085133 452.70
## - Prob    1    235063 1141379 454.82
## - Ineq    1    366211 1272527 459.39
## - Ed      1    581190 1487506 465.95
## 
## Step:  AIC=445.23
## .outcome ~ So + M + Ed + Po1 + Po2 + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     10456  918743 443.71
## - Wealth  1     23157  931444 444.29
## - So      1     23225  931512 444.29
## - NW      1     24143  932431 444.33
## <none>                 908287 445.23
## - Po2     1     83227  991514 446.91
## - U2      1     88669  996957 447.14
## - Time    1    190048 1098335 451.21
## - Po1     1    205621 1113909 451.80
## - M       1    217607 1125894 452.25
## - Prob    1    239248 1147535 453.05
## - Ineq    1    398078 1306365 458.49
## - Ed      1    717185 1625472 467.67
## 
## Step:  AIC=443.71
## .outcome ~ So + M + Ed + Po1 + Po2 + NW + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     24926  943669 442.83
## - Wealth  1     27453  946196 442.95
## - So      1     33987  952731 443.24
## <none>                 918743 443.71
## - Po2     1     77379  996123 445.11
## - U2      1    152854 1071598 448.17
## - Time    1    179945 1098689 449.22
## - Po1     1    200163 1118906 449.99
## - M       1    208210 1126953 450.29
## - Prob    1    231830 1150573 451.16
## - Ineq    1    414742 1333486 457.36
## - Ed      1    709137 1627881 465.74
## 
## Step:  AIC=442.83
## .outcome ~ So + M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     14208  957877 441.46
## <none>                 943669 442.83
## - So      1     64953 1008622 443.63
## - Po2     1     70889 1014558 443.88
## - Time    1    155184 1098853 447.23
## - U2      1    170799 1114468 447.82
## - Po1     1    204039 1147708 449.06
## - Prob    1    209706 1153375 449.26
## - M       1    316453 1260122 452.98
## - Ineq    1    398381 1342050 455.63
## - Ed      1    687959 1631628 463.83
## 
## Step:  AIC=441.46
## .outcome ~ So + M + Ed + Po1 + Po2 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               957877 441.46
## - So    1     77493 1035371 442.73
## - Po2   1     87313 1045191 443.13
## - Time  1    156213 1114090 445.81
## - U2    1    193412 1151289 447.19
## - Prob  1    251222 1209099 449.24
## - Po1   1    255401 1213278 449.39
## - M     1    310246 1268124 451.25
## - Ineq  1    564523 1522400 458.92
## - Ed    1    788285 1746162 464.68
## Start:  AIC=457
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1        13 1041991 455.00
## - NW      1      2643 1044622 455.10
## - So      1      5783 1047761 455.23
## - M.F     1     10341 1052320 455.41
## - U1      1     15808 1057787 455.63
## - Pop     1     19512 1061490 455.78
## - Time    1     23704 1065682 455.94
## - Prob    1     35344 1077323 456.40
## - Po2     1     49097 1091076 456.93
## <none>                1041978 457.00
## - Wealth  1     82215 1124193 458.19
## - U2      1    140942 1182921 460.32
## - Po1     1    147757 1189735 460.57
## - M       1    204755 1246734 462.53
## - Ed      1    327483 1369461 466.47
## - Ineq    1    358457 1400436 467.41
## 
## Step:  AIC=455
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      3114 1045105 453.12
## - So      1      7202 1049193 453.29
## - M.F     1     13328 1055319 453.53
## - U1      1     18724 1060715 453.74
## - Pop     1     20058 1062049 453.80
## - Time    1     24345 1066336 453.97
## - Prob    1     35921 1077912 454.42
## <none>                1041991 455.00
## - Po2     1     51626 1093617 455.03
## - Wealth  1     82456 1124447 456.20
## - U2      1    141078 1183069 458.33
## - Po1     1    152368 1194359 458.73
## - M       1    207802 1249793 460.63
## - Ed      1    352356 1394347 465.23
## - Ineq    1    362801 1404792 465.54
## 
## Step:  AIC=453.12
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4823 1049929 451.32
## - M.F     1     15065 1060170 451.72
## - Pop     1     18098 1063203 451.84
## - Time    1     21315 1066421 451.97
## - U1      1     22555 1067660 452.02
## - Prob    1     48482 1093588 453.03
## <none>                1045105 453.12
## - Po2     1     59993 1105098 453.47
## - Wealth  1     84105 1129210 454.37
## - U2      1    143958 1189063 456.54
## - Po1     1    159945 1205050 457.10
## - M       1    205517 1250622 458.66
## - Ed      1    355147 1400252 463.41
## - Ineq    1    371851 1416956 463.91
## 
## Step:  AIC=451.32
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     12245 1062173 449.80
## - Pop     1     19820 1069749 450.10
## - Time    1     20371 1070300 450.12
## - U1      1     25813 1075742 450.34
## - Prob    1     43775 1093704 451.03
## <none>                1049929 451.32
## - Po2     1     56421 1106349 451.51
## - Wealth  1    114216 1164145 453.65
## - U2      1    152821 1202750 455.02
## - Po1     1    155223 1205152 455.11
## - M       1    250545 1300474 458.30
## - Ed      1    361215 1411144 461.73
## - Ineq    1    574540 1624469 467.65
## 
## Step:  AIC=449.8
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     14501 1076674 448.37
## - U1      1     15510 1077683 448.41
## - Pop     1     39872 1102045 449.35
## <none>                1062173 449.80
## - Prob    1     54970 1117143 449.92
## - Po2     1     76559 1138732 450.73
## - U2      1    141232 1203405 453.05
## - Wealth  1    144498 1206671 453.16
## - Po1     1    198120 1260294 454.99
## - M       1    280932 1343105 457.66
## - Ed      1    427698 1489871 462.01
## - Ineq    1    772283 1834456 470.75
## 
## Step:  AIC=448.37
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     25333 1102007 447.35
## - Pop     1     27738 1104412 447.44
## <none>                1076674 448.37
## - Po2     1     90561 1167235 449.76
## - Prob    1    138490 1215164 451.45
## - Wealth  1    139126 1215800 451.48
## - U2      1    159705 1236379 452.18
## - Po1     1    219892 1296566 454.18
## - M       1    335615 1412289 457.77
## - Ed      1    413601 1490275 460.03
## - Ineq    1    757954 1834628 468.76
## 
## Step:  AIC=447.35
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     22874 1124881 446.21
## <none>                1102007 447.35
## - Po2     1     82520 1184527 448.38
## - Prob    1    132489 1234495 450.12
## - Wealth  1    187289 1289296 451.94
## - Po1     1    211716 1313723 452.73
## - U2      1    217421 1319428 452.91
## - M       1    360436 1462442 457.23
## - Ed      1    412436 1514443 458.70
## - Ineq    1    822935 1924942 468.77
## 
## Step:  AIC=446.21
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1124881 446.21
## - Po2     1     91655 1216536 447.50
## - Prob    1    112137 1237018 448.20
## - Wealth  1    187986 1312867 450.70
## - Po1     1    210022 1334903 451.40
## - U2      1    220789 1345670 451.74
## - M       1    422325 1547206 457.60
## - Ed      1    487646 1612527 459.34
## - Ineq    1    803473 1928354 466.85
## Start:  AIC=485.56
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        68 1319155 483.57
## - Time    1      7194 1326280 483.80
## - LF      1      9960 1329046 483.89
## - Pop     1     10782 1329868 483.92
## - NW      1     16909 1335996 484.12
## - Po2     1     27116 1346202 484.46
## - Wealth  1     28883 1347969 484.52
## - M.F     1     30545 1349631 484.57
## <none>                1319086 485.56
## - U1      1     65747 1384833 485.70
## - Po1     1    110696 1429783 487.11
## - U2      1    174787 1493874 489.04
## - M       1    193703 1512789 489.59
## - Prob    1    196959 1516046 489.69
## - Ineq    1    359927 1679013 494.18
## - Ed      1    416456 1735542 495.64
## 
## Step:  AIC=483.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      7488 1326642 481.81
## - Pop     1     10783 1329937 481.92
## - LF      1     13758 1332913 482.02
## - NW      1     21550 1340704 482.28
## - Po2     1     27374 1346529 482.47
## - Wealth  1     31261 1350415 482.60
## - M.F     1     31771 1350925 482.61
## <none>                1319155 483.57
## - U1      1     79103 1398258 484.13
## - Po1     1    110863 1430018 485.12
## - U2      1    185584 1504739 487.36
## - M       1    196073 1515228 487.66
## - Prob    1    200072 1519226 487.78
## - Ineq    1    415942 1735097 493.62
## - Ed      1    418185 1737339 493.68
## 
## Step:  AIC=481.81
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     13205 1339847 480.25
## - NW      1     16445 1343088 480.36
## - Pop     1     16613 1343255 480.36
## - Po2     1     20323 1346965 480.48
## - Wealth  1     30191 1356833 480.80
## - M.F     1     40565 1367207 481.14
## <none>                1326642 481.81
## - U1      1     75170 1401813 482.24
## - Po1     1    105111 1431754 483.17
## - U2      1    181842 1508484 485.47
## - M       1    189885 1516528 485.70
## - Prob    1    242760 1569402 487.21
## - Ed      1    429387 1756029 492.15
## - Ineq    1    433546 1760189 492.26
## 
## Step:  AIC=480.25
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     12190 1352036 478.65
## - Po2     1     13356 1353203 478.69
## - Pop     1     22053 1361900 478.97
## - M.F     1     27606 1367453 479.15
## - Wealth  1     29651 1369498 479.21
## <none>                1339847 480.25
## - U1      1     63175 1403022 480.28
## - Po1     1     93799 1433646 481.23
## - U2      1    189883 1529730 484.08
## - M       1    223692 1563539 485.04
## - Prob    1    229697 1569544 485.21
## - Ed      1    428719 1768566 490.47
## - Ineq    1    431521 1771368 490.54
## 
## Step:  AIC=478.65
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      9079 1361115 476.94
## - Pop     1     21709 1373746 477.35
## - M.F     1     23449 1375485 477.41
## - Wealth  1     26845 1378882 477.51
## <none>                1352036 478.65
## - U1      1     65559 1417595 478.73
## - Po1     1     87662 1439698 479.41
## - U2      1    198210 1550246 482.67
## - Prob    1    219860 1571897 483.28
## - M       1    320484 1672520 486.01
## - Ed      1    418149 1770185 488.51
## - Ineq    1    528592 1880629 491.17
## 
## Step:  AIC=476.94
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     21457 1382572 475.63
## - Wealth  1     30037 1391152 475.90
## - M.F     1     30845 1391960 475.93
## <none>                1361115 476.94
## - U1      1     66885 1428000 477.05
## - U2      1    200547 1561663 480.99
## - Prob    1    219767 1580883 481.53
## - M       1    325925 1687040 484.39
## - Ed      1    413444 1774559 486.61
## - Ineq    1    574108 1935224 490.43
## - Po1     1    982826 2343942 498.86
## 
## Step:  AIC=475.63
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     23636 1406208 474.38
## <none>                1382572 475.63
## - M.F     1     69770 1452342 475.80
## - U1      1     77342 1459914 476.03
## - Prob    1    202980 1585552 479.66
## - U2      1    207775 1590347 479.79
## - M       1    336300 1718873 483.21
## - Ed      1    406966 1789538 484.98
## - Ineq    1    570547 1953119 488.83
## - Po1     1   1071983 2454555 498.89
## 
## Step:  AIC=474.38
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1406208 474.38
## - M.F   1     83109 1489317 474.90
## - U1    1     96290 1502498 475.29
## - U2    1    248878 1655086 479.55
## - Prob  1    249756 1655964 479.57
## - M     1    313463 1719671 481.23
## - Ed    1    454977 1861185 484.71
## - Ineq  1    718688 2124896 490.54
## - Po1   1   1607190 3013398 505.91
## Start:  AIC=448.9
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        26 1068636 446.90
## - Pop     1       966 1069575 446.94
## - Wealth  1     18061 1086670 447.59
## - Time    1     18862 1087472 447.62
## - LF      1     26094 1094703 447.89
## - NW      1     33935 1102545 448.18
## <none>                1068609 448.90
## - M.F     1     56620 1125230 449.02
## - Po2     1     64315 1132925 449.30
## - U1      1     86386 1154995 450.09
## - Po1     1    149393 1218002 452.27
## - Prob    1    154004 1222614 452.42
## - M       1    179450 1248059 453.26
## - U2      1    194470 1263079 453.76
## - Ineq    1    226640 1295250 454.79
## - Ed      1    558518 1627128 464.14
## 
## Step:  AIC=446.9
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       955 1069591 444.94
## - Wealth  1     18579 1087215 445.61
## - Time    1     20984 1089620 445.70
## - LF      1     36900 1105536 446.29
## - NW      1     42321 1110957 446.49
## <none>                1068636 446.90
## - M.F     1     57127 1125763 447.04
## - Po2     1     65433 1134069 447.34
## - U1      1    110632 1179268 448.94
## - Po1     1    150119 1218755 450.29
## - Prob    1    165339 1233974 450.80
## - M       1    182083 1250719 451.35
## - U2      1    216222 1284858 452.46
## - Ineq    1    277127 1345763 454.35
## - Ed      1    568416 1637051 462.39
## 
## Step:  AIC=444.94
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     18941 1088532 443.66
## - Time    1     20335 1089926 443.71
## - LF      1     35951 1105541 444.29
## - NW      1     41474 1111064 444.50
## <none>                1069591 444.94
## - M.F     1     60257 1129848 445.18
## - Po2     1     65144 1134734 445.36
## - U1      1    109722 1179313 446.94
## - Po1     1    154119 1223709 448.46
## - Prob    1    164588 1234179 448.81
## - M       1    184905 1254495 449.48
## - U2      1    216843 1286434 450.51
## - Ineq    1    291117 1360708 452.81
## - Ed      1    569583 1639173 460.44
## 
## Step:  AIC=443.66
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     14912 1103444 442.22
## - NW    1     34695 1123227 442.94
## - LF    1     40471 1129003 443.15
## <none>              1088532 443.66
## - M.F   1     74358 1162890 444.37
## - Po2   1     76559 1165091 444.44
## - U1    1    152700 1241232 447.04
## - M     1    177319 1265851 447.84
## - Po1   1    184212 1272744 448.07
## - Prob  1    239803 1328334 449.82
## - U2    1    317933 1406465 452.16
## - Ineq  1    362032 1450563 453.43
## - Ed    1    653882 1742414 460.95
## 
## Step:  AIC=442.22
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     25470 1128914 441.15
## - LF    1     43569 1147013 441.80
## <none>              1103444 442.22
## - Po2   1     64612 1168056 442.55
## - M.F   1    113154 1216597 444.22
## - U1    1    148755 1252199 445.40
## - Po1   1    169909 1273352 446.09
## - M     1    175405 1278848 446.26
## - Prob  1    269010 1372454 449.16
## - U2    1    309701 1413145 450.36
## - Ineq  1    352416 1455859 451.58
## - Ed    1    648803 1752246 459.18
## 
## Step:  AIC=441.15
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     34816 1163729 440.40
## - Po2   1     52418 1181332 441.01
## <none>              1128914 441.15
## - M.F   1     95214 1224128 442.47
## - U1    1    150525 1279439 444.28
## - Po1   1    158603 1287517 444.54
## - Prob  1    245850 1374763 447.23
## - M     1    296434 1425348 448.71
## - U2    1    332357 1461271 449.73
## - Ineq  1    487122 1616035 453.86
## - Ed    1    623356 1752269 457.18
## 
## Step:  AIC=440.4
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     32222 1195951 439.52
## <none>              1163729 440.40
## - M.F   1     62299 1226028 440.53
## - U1    1    118939 1282668 442.39
## - Po1   1    129864 1293593 442.73
## - Prob  1    215549 1379278 445.36
## - M     1    320757 1484486 448.38
## - U2    1    327388 1491117 448.56
## - Ineq  1    474787 1638516 452.42
## - Ed    1    596478 1760207 455.36
## 
## Step:  AIC=439.52
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1195951 439.52
## - M.F   1     90187 1286139 440.50
## - U1    1    120460 1316412 441.45
## - Prob  1    202694 1398645 443.94
## - M     1    295644 1491596 446.57
## - U2    1    316906 1512857 447.15
## - Ed    1    585097 1781049 453.84
## - Ineq  1    604981 1800933 454.30
## - Po1   1   1118285 2314237 464.58
## Start:  AIC=474.62
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      3504 1273615 472.74
## - Pop     1      8934 1279045 472.92
## - LF      1      9054 1279165 472.92
## - So      1     13599 1283710 473.07
## - NW      1     16400 1286511 473.17
## - Po2     1     21563 1291674 473.34
## - M.F     1     27705 1297816 473.54
## - U1      1     55546 1325657 474.46
## <none>                1270111 474.62
## - Po1     1     89658 1359769 475.55
## - Wealth  1     93744 1363855 475.68
## - Prob    1     96465 1366576 475.76
## - U2      1    126529 1396640 476.70
## - Ed      1    169409 1439520 478.00
## - M       1    251383 1521494 480.38
## - Ineq    1    460428 1730539 485.92
## 
## Step:  AIC=472.74
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8153 1281768 471.01
## - Pop     1     12050 1285665 471.14
## - So      1     12965 1286580 471.17
## - NW      1     13467 1287081 471.19
## - Po2     1     18062 1291676 471.34
## - M.F     1     32181 1305796 471.81
## - U1      1     52753 1326368 472.48
## <none>                1273615 472.74
## - Po1     1     88579 1362194 473.63
## - Wealth  1     93028 1366643 473.77
## - Prob    1    116576 1390191 474.50
## - U2      1    123341 1396955 474.71
## - Ed      1    168258 1441872 476.07
## - M       1    247908 1521522 478.38
## - Ineq    1    464843 1738457 484.11
## 
## Step:  AIC=471.01
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      6945 1288712 469.24
## - NW      1      8646 1290414 469.30
## - Po2     1     13499 1295266 469.46
## - Pop     1     15506 1297273 469.53
## - M.F     1     24038 1305806 469.81
## - U1      1     44625 1326392 470.48
## <none>                1281768 471.01
## - Po1     1     82032 1363800 471.68
## - Wealth  1     89060 1370827 471.90
## - Prob    1    112395 1394162 472.62
## - U2      1    122582 1404350 472.94
## - Ed      1    160214 1441982 474.07
## - M       1    270984 1552752 477.26
## - Ineq    1    456832 1738600 482.12
## 
## Step:  AIC=469.24
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      5159 1293872 467.41
## - Pop     1     14914 1303626 467.74
## - Po2     1     17391 1306104 467.82
## - M.F     1     25274 1313986 468.08
## - U1      1     41958 1330670 468.62
## <none>                1288712 469.24
## - Wealth  1     83032 1371744 469.93
## - Po1     1     95716 1384428 470.32
## - U2      1    118016 1406728 471.01
## - Prob    1    169366 1458078 472.55
## - Ed      1    187088 1475800 473.07
## - M       1    269000 1557713 475.39
## - Ineq    1    481674 1770386 480.90
## 
## Step:  AIC=467.41
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     13555 1307427 465.86
## - Po2     1     14526 1308398 465.89
## - M.F     1     23868 1317740 466.20
## - U1      1     42486 1336358 466.80
## <none>                1293872 467.41
## - Wealth  1     80669 1374541 468.01
## - Po1     1     92104 1385976 468.37
## - U2      1    120799 1414671 469.25
## - Prob    1    166336 1460208 470.61
## - Ed      1    181999 1475871 471.07
## - M       1    352716 1646588 475.78
## - Ineq    1    535997 1829869 480.32
## 
## Step:  AIC=465.86
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     11133 1318560 464.23
## - U1      1     43568 1350994 465.27
## - M.F     1     57674 1365101 465.72
## <none>                1307427 465.86
## - Wealth  1     76921 1384347 466.32
## - Po1     1     80892 1388318 466.44
## - U2      1    116212 1423639 467.52
## - Prob    1    154057 1461483 468.65
## - Ed      1    171567 1478993 469.16
## - M       1    363568 1670994 474.41
## - Ineq    1    538885 1846312 478.70
## 
## Step:  AIC=464.23
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     41408 1359968 463.56
## <none>                1318560 464.23
## - M.F     1     76211 1394771 464.64
## - Wealth  1     76539 1395099 464.65
## - U2      1    113902 1432462 465.79
## - Prob    1    160390 1478949 467.16
## - Ed      1    161140 1479700 467.18
## - M       1    357023 1675583 472.53
## - Ineq    1    544761 1863321 477.10
## - Po1     1    824975 2143535 483.12
## 
## Step:  AIC=463.56
## .outcome ~ M + Ed + Po1 + M.F + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     56279 1416247 463.30
## <none>                1359968 463.56
## - U2      1     99763 1459731 464.60
## - Wealth  1    112282 1472249 464.97
## - Ed      1    125756 1485723 465.36
## - Prob    1    163976 1523944 466.45
## - M       1    382924 1742891 472.22
## - Ineq    1    597211 1957179 477.21
## - Po1     1    938962 2298929 484.13
## 
## Step:  AIC=463.3
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1416247 463.30
## - Prob    1    138100 1554347 465.30
## - Wealth  1    138360 1554606 465.31
## - U2      1    139783 1556030 465.35
## - Ed      1    415761 1832008 472.37
## - M       1    524068 1940314 474.84
## - Ineq    1    829972 2246218 481.13
## - Po1     1    922647 2338893 482.87
## Start:  AIC=462.37
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       302 1184613 460.38
## - So      1      2404 1186714 460.46
## - LF      1      2512 1186822 460.46
## - NW      1     14415 1198725 460.88
## - Pop     1     15381 1199692 460.92
## - M.F     1     26202 1210512 461.29
## - Wealth  1     30126 1214436 461.43
## - Po2     1     48471 1232781 462.06
## <none>                1184310 462.37
## - U1      1     82275 1266585 463.19
## - Prob    1    105605 1289916 463.96
## - M       1    117716 1302026 464.35
## - Po1     1    156808 1341118 465.60
## - U2      1    181909 1366219 466.38
## - Ed      1    363198 1547509 471.61
## - Ineq    1    372651 1556961 471.86
## 
## Step:  AIC=460.38
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2171 1186784 458.46
## - LF      1      2318 1186931 458.47
## - NW      1     14888 1199501 458.91
## - Pop     1     17760 1202373 459.01
## - M.F     1     27130 1211743 459.34
## - Wealth  1     29860 1214472 459.43
## - Po2     1     52030 1236643 460.19
## <none>                1184613 460.38
## - U1      1     82717 1267329 461.22
## - M       1    121380 1305993 462.48
## - Prob    1    148165 1332777 463.33
## - Po1     1    168029 1352642 463.96
## - U2      1    184083 1368696 464.45
## - Ed      1    365517 1550129 469.68
## - Ineq    1    373762 1558374 469.90
## 
## Step:  AIC=458.46
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       871 1187655 456.49
## - NW      1     12804 1199588 456.91
## - Pop     1     16996 1203780 457.06
## - M.F     1     25096 1211880 457.34
## - Wealth  1     27824 1214608 457.44
## - Po2     1     50456 1237240 458.21
## <none>                1186784 458.46
## - U1      1     86613 1273397 459.42
## - M       1    119949 1306733 460.51
## - Po1     1    166144 1352927 461.96
## - Prob    1    171239 1358023 462.12
## - U2      1    188186 1374970 462.64
## - Ed      1    363346 1550129 467.68
## - Ineq    1    405502 1592285 468.81
## 
## Step:  AIC=456.49
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     11975 1199630 454.91
## - Pop     1     18761 1206416 455.15
## - Wealth  1     27562 1215217 455.46
## - M.F     1     27965 1215620 455.47
## - Po2     1     50355 1238010 456.24
## <none>                1187655 456.49
## - U1      1     89621 1277276 457.55
## - M       1    127482 1315137 458.77
## - Po1     1    167597 1355252 460.04
## - Prob    1    176401 1364056 460.31
## - U2      1    192389 1380044 460.80
## - Ed      1    386909 1574564 466.34
## - Ineq    1    409600 1597255 466.94
## 
## Step:  AIC=454.91
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     17260 1216890 453.51
## - M.F     1     23545 1223175 453.73
## - Wealth  1     24788 1224418 453.77
## - Po2     1     42330 1241960 454.37
## <none>                1199630 454.91
## - U1      1     93771 1293401 456.07
## - Po1     1    158997 1358627 458.14
## - Prob    1    165031 1364661 458.33
## - M       1    175738 1375368 458.66
## - U2      1    203592 1403222 459.50
## - Ed      1    377023 1576653 464.39
## - Ineq    1    511080 1710710 467.82
## 
## Step:  AIC=453.51
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     20538 1237428 452.22
## - Po2     1     37715 1254605 452.80
## - M.F     1     56997 1273887 453.44
## <none>                1216890 453.51
## - U1      1    103822 1320712 454.95
## - Po1     1    145613 1362503 456.26
## - Prob    1    149085 1365975 456.37
## - M       1    183604 1400494 457.42
## - U2      1    204449 1421339 458.04
## - Ed      1    368959 1585849 462.64
## - Ineq    1    500695 1717585 465.99
## 
## Step:  AIC=452.22
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     39335 1276764 451.53
## <none>              1237428 452.22
## - M.F   1     70527 1307956 452.54
## - U1    1    129072 1366501 454.38
## - Po1   1    160297 1397725 455.33
## - M     1    166786 1404214 455.53
## - Prob  1    184513 1421942 456.05
## - U2    1    246061 1483489 457.83
## - Ed    1    411348 1648776 462.27
## - Ineq  1    598058 1835487 466.78
## 
## Step:  AIC=451.53
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1276764 451.53
## - M.F   1     95273 1372036 452.55
## - U1    1    129857 1406621 453.60
## - M     1    159386 1436149 454.47
## - Prob  1    188148 1464912 455.30
## - U2    1    247568 1524331 456.97
## - Ed    1    377379 1654143 460.41
## - Ineq  1    624898 1901661 466.26
## - Po1   1   1501239 2778003 482.18
## Start:  AIC=459.88
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      3900 1119961 458.03
## - Time    1      6017 1122077 458.11
## - So      1      6070 1122130 458.11
## - NW      1     13861 1129921 458.40
## - Pop     1     16099 1132160 458.48
## - Po2     1     26537 1142597 458.87
## - M.F     1     29826 1145886 458.99
## <none>                1116060 459.88
## - U1      1     64629 1180689 460.25
## - Wealth  1     90829 1206890 461.17
## - Po1     1    102145 1218205 461.56
## - M       1    161943 1278004 463.57
## - U2      1    168375 1284435 463.78
## - Prob    1    189084 1305145 464.45
## - Ed      1    213276 1329336 465.23
## - Ineq    1    357335 1473396 469.55
## 
## Step:  AIC=458.03
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      6211 1126172 456.26
## - So      1      9800 1129760 456.39
## - NW      1     10929 1130890 456.44
## - Pop     1     17967 1137928 456.70
## - Po2     1     23424 1143385 456.90
## - M.F     1     31916 1151877 457.21
## <none>                1119961 458.03
## - U1      1     69555 1189515 458.56
## - Wealth  1     90173 1210134 459.28
## - Po1     1    105051 1225011 459.79
## - U2      1    168570 1288531 461.92
## - Prob    1    187856 1307816 462.54
## - Ed      1    262003 1381963 464.86
## - M       1    280509 1400470 465.42
## - Ineq    1    375861 1495822 468.18
## 
## Step:  AIC=456.26
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      5865 1132036 454.48
## - So      1     11261 1137433 454.68
## - Po2     1     18128 1144300 454.93
## - Pop     1     22832 1149004 455.10
## - M.F     1     38504 1164676 455.67
## <none>                1126172 456.26
## - U1      1     64292 1190463 456.59
## - Wealth  1     85470 1211641 457.33
## - Po1     1     98848 1225019 457.79
## - U2      1    164744 1290915 459.99
## - Prob    1    245545 1371717 462.54
## - Ed      1    274947 1401118 463.43
## - M       1    275292 1401463 463.45
## - Ineq    1    407222 1533394 467.22
## 
## Step:  AIC=454.48
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     16360 1148396 453.08
## - Po2     1     17171 1149207 453.11
## - Pop     1     21461 1153497 453.27
## - M.F     1     33885 1165921 453.72
## <none>                1132036 454.48
## - U1      1     60275 1192311 454.66
## - Wealth  1     81680 1213716 455.40
## - Po1     1    101241 1233278 456.08
## - U2      1    166564 1298600 458.24
## - Prob    1    241291 1373327 460.59
## - Ed      1    272707 1404743 461.54
## - M       1    314759 1446795 462.78
## - Ineq    1    473361 1605397 467.15
## 
## Step:  AIC=453.08
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     11563 1159960 451.50
## - Pop     1     17603 1165999 451.72
## - M.F     1     32581 1180977 452.26
## <none>                1148396 453.08
## - Wealth  1     73131 1221527 453.67
## - U1      1     81544 1229940 453.96
## - Po1     1     92462 1240859 454.33
## - U2      1    198450 1346847 457.78
## - Prob    1    238983 1387380 459.02
## - Ed      1    262339 1410735 459.72
## - M       1    430347 1578744 464.45
## - Ineq    1    585895 1734292 468.39
## 
## Step:  AIC=451.5
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     15608 1175568 450.06
## - M.F     1     42468 1202428 451.01
## <none>                1159960 451.50
## - Wealth  1     74193 1234153 452.11
## - U1      1     85341 1245301 452.48
## - U2      1    200071 1360031 456.18
## - Prob    1    241984 1401944 457.46
## - Ed      1    251592 1411552 457.75
## - M       1    433410 1593370 462.84
## - Ineq    1    592457 1752417 466.83
## - Po1     1    839121 1999081 472.36
## 
## Step:  AIC=450.06
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1175568 450.06
## - Wealth  1     62218 1237785 450.23
## - M.F     1     99526 1275094 451.48
## - U1      1    102992 1278559 451.59
## - U2      1    205385 1380952 454.83
## - Prob    1    227182 1402750 455.48
## - Ed      1    259828 1435396 456.45
## - M       1    473257 1648824 462.27
## - Ineq    1    603124 1778692 465.46
## - Po1     1    857965 2033532 471.08
## Start:  AIC=462.89
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       226 1199128 460.90
## - So      1     14606 1213507 461.40
## - Wealth  1     21708 1220609 461.64
## - Pop     1     35905 1234807 462.13
## - Po2     1     37995 1236896 462.20
## - LF      1     40332 1239234 462.28
## - M.F     1     57799 1256701 462.87
## <none>                1198901 462.89
## - M       1     61087 1259989 462.98
## - NW      1     73057 1271958 463.37
## - U1      1     84347 1283249 463.74
## - U2      1    125642 1324543 465.07
## - Po1     1    142026 1340927 465.59
## - Prob    1    151145 1350046 465.88
## - Ed      1    455504 1654406 474.41
## - Ineq    1    468681 1667583 474.75
## 
## Step:  AIC=460.9
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     14531 1213659 459.40
## - Wealth  1     23575 1222703 459.71
## - Pop     1     37018 1236146 460.17
## - LF      1     40116 1239244 460.28
## - Po2     1     43665 1242792 460.40
## <none>                1199128 460.90
## - M.F     1     59342 1258469 460.92
## - M       1     67830 1266957 461.21
## - NW      1     73005 1272133 461.38
## - U1      1     87676 1286803 461.86
## - U2      1    133867 1332995 463.34
## - Po1     1    154611 1353739 463.99
## - Prob    1    233289 1432416 466.36
## - Ed      1    465457 1664585 472.67
## - Ineq    1    468745 1667872 472.75
## 
## Step:  AIC=459.4
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     19462 1233121 458.07
## - LF      1     25933 1239592 458.29
## - Pop     1     33291 1246950 458.54
## - Po2     1     39024 1252683 458.73
## - M.F     1     52029 1265688 459.17
## - NW      1     58845 1272504 459.39
## <none>                1213659 459.40
## - M       1     71708 1285367 459.81
## - U1      1     74886 1288545 459.92
## - U2      1    125206 1338865 461.53
## - Po1     1    149232 1362891 462.27
## - Prob    1    266622 1480281 465.74
## - Ed      1    451027 1664686 470.67
## - Ineq    1    465216 1678875 471.03
## 
## Step:  AIC=458.07
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     26250 1259371 456.96
## - Pop   1     28961 1262082 457.05
## - Po2   1     40580 1273701 457.43
## - M.F   1     58121 1291242 458.00
## - NW    1     59707 1292828 458.06
## <none>              1233121 458.07
## - M     1     63628 1296749 458.18
## - U1    1     84334 1317455 458.85
## - U2    1    142280 1375401 460.66
## - Po1   1    163696 1396817 461.31
## - Prob  1    287145 1520266 464.86
## - Ed    1    519222 1752343 470.83
## - Ineq  1    550846 1783967 471.58
## 
## Step:  AIC=456.96
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     25353 1284723 455.79
## - M.F   1     34387 1293757 456.09
## - Pop   1     36739 1296110 456.16
## - NW    1     45975 1305345 456.46
## <none>              1259371 456.96
## - U1    1     67266 1326637 457.14
## - M     1     95158 1354529 458.01
## - Po1   1    141166 1400537 459.42
## - U2    1    166686 1426056 460.18
## - Prob  1    261799 1521169 462.89
## - Ed    1    502412 1761782 469.06
## - Ineq  1    547377 1806748 470.11
## 
## Step:  AIC=455.79
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     30332 1315055 454.77
## - NW    1     32952 1317675 454.86
## - M.F   1     48787 1333510 455.36
## <none>              1284723 455.79
## - U1    1     78109 1362832 456.27
## - M     1    106837 1391560 457.15
## - U2    1    184001 1468724 459.41
## - Prob  1    251081 1535804 461.29
## - Ed    1    478579 1763302 467.09
## - Ineq  1    615989 1900713 470.24
## - Po1   1   1073450 2358173 479.30
## 
## Step:  AIC=454.77
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     23021 1338076 453.50
## <none>              1315055 454.77
## - U1    1    102377 1417432 455.92
## - M.F   1    112880 1427935 456.23
## - M     1    133590 1448645 456.84
## - U2    1    198038 1513093 458.66
## - Prob  1    221403 1536458 459.31
## - Ed    1    465366 1780421 465.50
## - Ineq  1    586129 1901184 468.25
## - Po1   1   1151907 2466962 479.19
## 
## Step:  AIC=453.5
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1338076 453.50
## - M.F   1    105022 1443098 454.67
## - U1    1    139187 1477262 455.66
## - Prob  1    200448 1538524 457.36
## - U2    1    255186 1593262 458.83
## - M     1    278021 1616096 459.43
## - Ed    1    443077 1781152 463.51
## - Ineq  1    805008 2143084 471.28
## - Po1   1   1591010 2929086 484.41
## Start:  AIC=475.19
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        12 1287234 473.19
## - LF      1       996 1288218 473.23
## - Time    1      1171 1288394 473.23
## - Po2     1      1646 1288868 473.25
## - NW      1     11002 1298225 473.56
## - Pop     1     15937 1303159 473.72
## - Wealth  1     27401 1314623 474.10
## - Po1     1     34630 1321852 474.33
## - M.F     1     50266 1337489 474.84
## <none>                1287222 475.19
## - U1      1     89145 1376367 476.07
## - Prob    1    136563 1423785 477.53
## - M       1    178000 1465222 478.76
## - U2      1    209758 1496980 479.68
## - Ineq    1    344288 1631510 483.38
## - Ed      1    432834 1720057 485.66
## 
## Step:  AIC=473.19
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      1231 1288465 471.23
## - LF      1      1506 1288740 471.24
## - Po2     1      1715 1288949 471.25
## - NW      1     13844 1301078 471.65
## - Pop     1     15982 1303216 471.72
## - Wealth  1     30657 1317892 472.20
## - Po1     1     35146 1322380 472.35
## - M.F     1     50990 1338225 472.86
## <none>                1287234 473.19
## - U1      1     98741 1385975 474.37
## - Prob    1    138047 1425281 475.57
## - M       1    182658 1469892 476.90
## - U2      1    212462 1499696 477.76
## - Ineq    1    435540 1722775 483.72
## - Ed      1    437130 1724364 483.76
## 
## Step:  AIC=471.23
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       858 1289323 469.26
## - LF      1      1394 1289859 469.28
## - NW      1     12618 1301083 469.65
## - Pop     1     19450 1307915 469.88
## - Wealth  1     30090 1318555 470.23
## - Po1     1     35586 1324051 470.41
## - M.F     1     57966 1346431 471.13
## <none>                1288465 471.23
## - U1      1     97533 1385998 472.37
## - M       1    181487 1469952 474.90
## - Prob    1    191427 1479892 475.19
## - U2      1    211703 1500168 475.78
## - Ed      1    445136 1733601 481.99
## - Ineq    1    445863 1734328 482.01
## 
## Step:  AIC=469.26
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       880 1290203 467.29
## - NW      1     11848 1301171 467.66
## - Pop     1     19003 1308326 467.89
## - Wealth  1     30018 1319341 468.25
## - M.F     1     60099 1349422 469.22
## <none>                1289323 469.26
## - U1      1     97474 1386797 470.40
## - M       1    189666 1478989 473.16
## - Prob    1    190744 1480067 473.20
## - U2      1    225608 1514931 474.20
## - Ed      1    449588 1738912 480.13
## - Ineq    1    450822 1740146 480.16
## - Po1     1    666636 1955959 485.18
## 
## Step:  AIC=467.29
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     11216 1301419 465.66
## - Pop     1     20792 1310995 465.98
## - Wealth  1     29248 1319451 466.26
## <none>                1290203 467.29
## - M.F     1     69194 1359398 467.54
## - U1      1     97540 1387743 468.43
## - M       1    194614 1484817 471.33
## - Prob    1    197416 1487619 471.41
## - U2      1    232344 1522547 472.41
## - Ineq    1    451871 1742074 478.20
## - Ed      1    471180 1761383 478.68
## - Po1     1    707761 1997964 484.10
## 
## Step:  AIC=465.66
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     19792 1321212 464.31
## - Wealth  1     26630 1328050 464.53
## - M.F     1     61330 1362750 465.64
## <none>                1301419 465.66
## - U1      1     98413 1399832 466.80
## - Prob    1    186943 1488362 469.44
## - U2      1    237333 1538753 470.87
## - M       1    268971 1570391 471.74
## - Ed      1    461711 1763131 476.72
## - Ineq    1    531498 1832917 478.39
## - Po1     1    922294 2223714 486.70
## 
## Step:  AIC=464.31
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     20312 1341524 462.97
## <none>                1321212 464.31
## - U1      1    118105 1439317 465.99
## - M.F     1    122957 1444168 466.14
## - Prob    1    168647 1489858 467.48
## - U2      1    247877 1569089 469.71
## - M       1    271742 1592954 470.36
## - Ed      1    459626 1780838 475.15
## - Ineq    1    523186 1844398 476.66
## - Po1     1    995091 2316303 486.45
## 
## Step:  AIC=462.97
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1341524 462.97
## - M.F   1    150308 1491831 465.54
## - U1    1    164132 1505655 465.93
## - Prob  1    195166 1536690 466.81
## - M     1    251504 1593027 468.36
## - U2    1    316243 1657766 470.07
## - Ed    1    510988 1852512 474.85
## - Ineq  1    698673 2040197 479.00
## - Po1   1   1365950 2707474 491.16
## Start:  AIC=486.11
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1529 1337215 484.16
## - Time    1      9895 1345581 484.44
## - LF      1     11471 1347157 484.49
## - Pop     1     11971 1347657 484.51
## - NW      1     22554 1358240 484.85
## - M.F     1     33917 1369603 485.22
## - Po2     1     35110 1370796 485.26
## - Wealth  1     42830 1378516 485.50
## <none>                1335686 486.11
## - U1      1     91946 1427632 487.04
## - Po1     1    129766 1465452 488.19
## - M       1    177221 1512907 489.60
## - U2      1    186053 1521739 489.85
## - Prob    1    186749 1522435 489.87
## - Ed      1    404116 1739802 495.74
## - Ineq    1    436277 1771963 496.55
## 
## Step:  AIC=484.16
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9014 1346229 482.46
## - LF      1     10132 1347347 482.50
## - Pop     1     11425 1348640 482.54
## - NW      1     22231 1359446 482.89
## - M.F     1     32506 1369721 483.22
## - Po2     1     35169 1372384 483.31
## - Wealth  1     41387 1378602 483.51
## <none>                1337215 484.16
## - U1      1    101136 1438351 485.37
## - Po1     1    131636 1468851 486.30
## - M       1    175694 1512909 487.60
## - U2      1    194200 1531415 488.13
## - Prob    1    200373 1537588 488.31
## - Ed      1    402711 1739926 493.75
## - Ineq    1    480535 1817750 495.67
## 
## Step:  AIC=482.46
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8686 1354915 480.74
## - NW      1     16329 1362557 480.99
## - Pop     1     20659 1366888 481.13
## - Po2     1     27204 1373432 481.34
## - M.F     1     38231 1384459 481.69
## - Wealth  1     39468 1385697 481.73
## <none>                1346229 482.46
## - U1      1     93889 1440118 483.43
## - Po1     1    122752 1468981 484.30
## - M       1    166896 1513125 485.60
## - U2      1    186642 1532870 486.17
## - Prob    1    235358 1581587 487.55
## - Ed      1    400663 1746892 491.92
## - Ineq    1    500555 1846784 494.37
## 
## Step:  AIC=480.74
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     12940 1367855 479.16
## - Po2     1     20766 1375681 479.41
## - Pop     1     28220 1383135 479.65
## - M.F     1     29689 1384604 479.70
## - Wealth  1     39048 1393963 479.99
## <none>                1354915 480.74
## - U1      1     85303 1440218 481.43
## - Po1     1    114261 1469176 482.31
## - M       1    189692 1544607 484.51
## - U2      1    190271 1545186 484.52
## - Prob    1    226675 1581590 485.55
## - Ed      1    412543 1767458 490.44
## - Ineq    1    499119 1854034 492.54
## 
## Step:  AIC=479.16
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     16038 1383893 477.67
## - M.F     1     25268 1393123 477.97
## - Pop     1     25606 1393460 477.98
## - Wealth  1     35109 1402963 478.28
## <none>                1367855 479.16
## - U1      1     88383 1456238 479.92
## - Po1     1    108881 1476736 480.53
## - U2      1    200922 1568777 483.19
## - Prob    1    214691 1582545 483.58
## - M       1    275392 1643246 485.23
## - Ed      1    401602 1769456 488.49
## - Ineq    1    587753 1955608 492.89
## 
## Step:  AIC=477.67
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     23129 1407022 476.40
## - Wealth  1     34467 1418360 476.76
## - M.F     1     35050 1418943 476.77
## <none>                1383893 477.67
## - U1      1     93629 1477522 478.55
## - U2      1    210572 1594465 481.91
## - Prob    1    212158 1596051 481.95
## - M       1    276251 1660144 483.68
## - Ed      1    389701 1773594 486.59
## - Ineq    1    595436 1979329 491.42
## - Po1     1    900026 2283919 497.72
## 
## Step:  AIC=476.4
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     28753 1435775 475.29
## <none>                1407022 476.40
## - M.F     1     84170 1491192 476.96
## - U1      1    110325 1517347 477.72
## - Prob    1    192170 1599192 480.04
## - U2      1    215782 1622804 480.68
## - M       1    292712 1699734 482.72
## - Ed      1    396614 1803636 485.33
## - Ineq    1    575116 1982138 489.48
## - Po1     1    958939 2365960 497.27
## 
## Step:  AIC=475.29
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1435775 475.29
## - M.F   1    104331 1540106 476.38
## - U1    1    140652 1576427 477.41
## - Prob  1    232354 1668129 479.89
## - U2    1    266915 1702690 480.80
## - M     1    269983 1705758 480.87
## - Ed    1    452820 1888595 485.35
## - Ineq  1    708863 2144638 490.95
## - Po1   1   1444607 2880382 503.93
## Start:  AIC=474.26
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       786 1260533 472.29
## - LF      1      2851 1262598 472.36
## - So      1      6143 1265889 472.47
## - NW      1     20305 1280051 472.95
## - Pop     1     23174 1282920 473.05
## - Po2     1     25679 1285425 473.13
## - Wealth  1     34432 1294178 473.42
## - M.F     1     40406 1300152 473.62
## - U1      1     48615 1308361 473.89
## <none>                1259746 474.26
## - U2      1    107393 1367139 475.78
## - M       1    111101 1370848 475.90
## - Po1     1    114638 1374384 476.01
## - Prob    1    238740 1498486 479.73
## - Ed      1    339698 1599444 482.53
## - Ineq    1    455441 1715187 485.53
## 
## Step:  AIC=472.29
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      2497 1263029 470.38
## - So      1      7463 1267996 470.55
## - NW      1     19594 1280127 470.95
## - Po2     1     25475 1286007 471.15
## - Pop     1     28178 1288711 471.24
## - Wealth  1     33817 1294350 471.43
## - M.F     1     44349 1304881 471.78
## - U1      1     47844 1308377 471.89
## <none>                1260533 472.29
## - U2      1    106700 1367233 473.79
## - M       1    111584 1372116 473.94
## - Po1     1    117029 1377561 474.11
## - Prob    1    295856 1556389 479.36
## - Ed      1    339631 1600164 480.55
## - Ineq    1    456891 1717424 483.59
## 
## Step:  AIC=470.38
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     15887 1278916 468.91
## - NW      1     17175 1280204 468.96
## - Po2     1     23108 1286137 469.16
## - Pop     1     31066 1294095 469.42
## - Wealth  1     32331 1295360 469.46
## - M.F     1     44777 1307806 469.87
## - U1      1     47413 1310442 469.96
## <none>                1263029 470.38
## - U2      1    105300 1368329 471.82
## - Po1     1    114602 1377631 472.11
## - M       1    118384 1381414 472.23
## - Prob    1    295757 1558786 477.42
## - Ed      1    360533 1623562 479.17
## - Ineq    1    459925 1722955 481.73
## 
## Step:  AIC=468.91
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     19646 1298562 467.57
## - NW      1     28740 1307656 467.87
## - Pop     1     35004 1313921 468.08
## - Wealth  1     40557 1319473 468.26
## - M.F     1     41418 1320334 468.28
## <none>                1278916 468.91
## - U1      1     64411 1343327 469.03
## - Po1     1    107033 1385949 470.37
## - U2      1    133605 1412521 471.19
## - M       1    137562 1416478 471.31
## - Prob    1    286024 1564941 475.59
## - Ed      1    349380 1628296 477.30
## - Ineq    1    564676 1843592 482.64
## 
## Step:  AIC=467.57
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     20599 1319161 466.25
## - Pop     1     25896 1324458 466.42
## - M.F     1     39014 1337575 466.84
## - Wealth  1     43513 1342075 466.99
## - U1      1     59834 1358395 467.51
## <none>                1298562 467.57
## - U2      1    129943 1428505 469.67
## - M       1    150556 1449118 470.29
## - Prob    1    281636 1580197 474.01
## - Ed      1    335789 1634351 475.46
## - Ineq    1    602784 1901346 481.97
## - Po1     1    694318 1992880 483.99
## 
## Step:  AIC=466.25
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     23355 1342516 465.00
## - M.F     1     29668 1348829 465.20
## - Wealth  1     36756 1355918 465.43
## - U1      1     61266 1380427 466.20
## <none>                1319161 466.25
## - U2      1    142146 1461308 468.65
## - M       1    240161 1559323 471.44
## - Prob    1    263914 1583076 472.09
## - Ed      1    328671 1647832 473.81
## - Ineq    1    679781 1998943 482.12
## - Po1     1    859119 2178281 485.81
## 
## Step:  AIC=465
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     32505 1375021 464.03
## - M.F     1     49522 1392039 464.56
## <none>                1342516 465.00
## - U1      1     66530 1409047 465.08
## - U2      1    138117 1480633 467.21
## - Prob    1    244163 1586679 470.19
## - M       1    250864 1593381 470.37
## - Ed      1    327817 1670334 472.40
## - Ineq    1    666205 2008721 480.33
## - Po1     1    957804 2300320 486.16
## 
## Step:  AIC=464.03
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1375021 464.03
## - M.F   1     73208 1448229 464.26
## - U1    1     92602 1467623 464.83
## - U2    1    178260 1553281 467.27
## - M     1    223233 1598254 468.50
## - Prob  1    284920 1659941 470.13
## - Ed    1    378053 1753074 472.47
## - Ineq  1    799736 2174758 481.74
## - Po1   1   1480098 2855119 493.45
## Start:  AIC=436.71
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      2041  644926 434.85
## - LF      1      3628  646514 434.95
## - So      1      6822  649708 435.16
## - M.F     1      8683  651569 435.28
## - Po2     1      9256  652142 435.31
## - Wealth  1     10588  653474 435.40
## - Pop     1     17552  660438 435.85
## - U1      1     25134  668020 436.32
## <none>                 642886 436.71
## - Time    1     60685  703570 438.50
## - Po1     1    113280  756166 441.53
## - U2      1    138873  781759 442.93
## - Ineq    1    269304  912190 449.41
## - Prob    1    280164  923050 449.91
## - M       1    310916  953801 451.28
## - Ed      1    520290 1163176 459.62
## 
## Step:  AIC=434.85
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4904  649831 433.17
## - LF      1      6447  651373 433.27
## - M.F     1      7319  652246 433.32
## - Wealth  1      8834  653761 433.42
## - Po2     1     13618  658544 433.72
## - Pop     1     17343  662269 433.96
## - U1      1     29459  674386 434.72
## <none>                 644926 434.85
## - Time    1     72395  717321 437.32
## - Po1     1    124936  769863 440.28
## - U2      1    141058  785984 441.15
## - Ineq    1    267997  912923 447.44
## - Prob    1    313643  958570 449.49
## - M       1    317220  962146 449.65
## - Ed      1    542982 1187908 458.50
## 
## Step:  AIC=433.17
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      6261  656092 431.57
## - Wealth  1      7228  657059 431.63
## - Po2     1     11678  661509 431.91
## - LF      1     13900  663731 432.05
## - Pop     1     16499  666330 432.22
## <none>                 649831 433.17
## - U1      1     42567  692398 433.83
## - Time    1     70708  720539 435.50
## - Po1     1    120693  770524 438.32
## - U2      1    158042  807873 440.31
## - Prob    1    324731  974562 448.19
## - M       1    348304  998134 449.19
## - Ineq    1    366408 1016239 449.95
## - Ed      1    539331 1189162 456.55
## 
## Step:  AIC=431.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      8957  665049 430.14
## - Pop     1     10755  666847 430.25
## - Po2     1     11037  667129 430.27
## - LF      1     31990  688082 431.57
## <none>                 656092 431.57
## - Time    1     64447  720539 433.50
## - U1      1     80791  736884 434.45
## - Po1     1    116449  772541 436.43
## - U2      1    164681  820773 438.97
## - Prob    1    318487  974579 446.19
## - M       1    354658 1010750 447.72
## - Ineq    1    369295 1025387 448.32
## - Ed      1    541192 1197284 454.83
## 
## Step:  AIC=430.14
## .outcome ~ M + Ed + Po1 + Po2 + LF + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     11933  676982 428.88
## - Pop   1     12855  677904 428.94
## <none>               665049 430.14
## - LF    1     32983  698032 430.17
## - Time  1     63599  728647 431.97
## - U1    1     75687  740736 432.66
## - Po1   1    113236  778285 434.74
## - U2    1    157253  822302 437.05
## - Prob  1    309654  974703 444.19
## - M     1    380580 1045629 447.14
## - Ed    1    535830 1200879 452.96
## - Ineq  1    746146 1411195 459.74
## 
## Step:  AIC=428.88
## .outcome ~ M + Ed + Po1 + LF + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     13703  690685 427.73
## - LF    1     24396  701378 428.37
## <none>               676982 428.88
## - Time  1     52497  729479 430.02
## - U1    1     70306  747288 431.03
## - U2    1    156622  833604 435.63
## - Prob  1    298044  975025 442.21
## - M     1    370537 1047519 445.22
## - Ed    1    524101 1201082 450.96
## - Ineq  1    774535 1451517 458.92
## - Po1   1   1660444 2337426 478.93
## 
## Step:  AIC=427.73
## .outcome ~ M + Ed + Po1 + LF + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     24470  715155 427.19
## <none>               690685 427.73
## - U1    1     64994  755679 429.50
## - Time  1     75417  766102 430.08
## - U2    1    146220  836906 433.79
## - Prob  1    292938  983624 440.58
## - M     1    417053 1107738 445.57
## - Ed    1    520597 1211283 449.32
## - Ineq  1    765108 1455793 457.04
## - Po1   1   1731990 2422675 478.43
## 
## Step:  AIC=427.19
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               715155 427.19
## - U1    1     60541  775696 428.60
## - Time  1     71542  786697 429.19
## - U2    1    168139  883294 434.06
## - Prob  1    273078  988233 438.77
## - M     1    422211 1137366 444.68
## - Ed    1    524261 1239416 448.28
## - Ineq  1    742723 1457878 455.10
## - Po1   1   1724157 2439312 476.72
## Start:  AIC=451.23
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       183 1131403 449.24
## - LF      1      1717 1132936 449.30
## - Pop     1     27460 1158680 450.22
## - NW      1     28493 1159713 450.25
## - M.F     1     29221 1160441 450.28
## - Time    1     37275 1168494 450.56
## - Wealth  1     45903 1177122 450.87
## <none>                1131219 451.23
## - M       1     70262 1201481 451.71
## - Po2     1     76123 1207342 451.90
## - U1      1     80351 1211570 452.05
## - U2      1    103868 1235087 452.84
## - Ed      1    130647 1261866 453.72
## - Po1     1    191844 1323063 455.66
## - Prob    1    228503 1359722 456.78
## - Ineq    1    285119 1416338 458.45
## 
## Step:  AIC=449.24
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      1595 1132997 447.30
## - Pop     1     27699 1159102 448.23
## - M.F     1     29316 1160719 448.29
## - NW      1     32651 1164053 448.41
## - Time    1     37207 1168609 448.57
## - Wealth  1     47485 1178888 448.93
## <none>                1131403 449.24
## - M       1     70103 1201505 449.71
## - Po2     1     75945 1207348 449.90
## - U1      1     91701 1223103 450.44
## - U2      1    108646 1240049 451.00
## - Ed      1    130555 1261957 451.72
## - Po1     1    191760 1323163 453.66
## - Prob    1    235822 1367224 455.00
## - Ineq    1    321683 1453086 457.50
## 
## Step:  AIC=447.3
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     29198 1162195 446.34
## - M.F     1     29911 1162909 446.37
## - NW      1     31275 1164273 446.42
## - Time    1     38304 1171301 446.66
## - Wealth  1     47485 1180482 446.98
## <none>                1132997 447.30
## - Po2     1     74357 1207354 447.91
## - M       1     77432 1210429 448.01
## - U1      1     93457 1226455 448.55
## - U2      1    108434 1241432 449.05
## - Ed      1    137630 1270627 450.00
## - Po1     1    190225 1323222 451.66
## - Prob    1    235604 1368602 453.04
## - Ineq    1    320217 1453214 455.50
## 
## Step:  AIC=446.34
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     34584 1196779 445.54
## - Wealth  1     46337 1208532 445.95
## <none>                1162195 446.34
## - Time    1     62981 1225176 446.51
## - M.F     1     64697 1226892 446.56
## - Po2     1     78786 1240981 447.03
## - M       1    100523 1262718 447.74
## - U1      1    115142 1277337 448.22
## - U2      1    123319 1285514 448.48
## - Ed      1    142137 1304332 449.07
## - Po1     1    182610 1344805 450.33
## - Prob    1    233859 1396054 451.86
## - Ineq    1    292041 1454236 453.53
## 
## Step:  AIC=445.54
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     37197 1233976 444.80
## - Time    1     44734 1241513 445.05
## - M.F     1     56645 1253424 445.44
## - Po2     1     56866 1253645 445.45
## <none>                1196779 445.54
## - U1      1    109068 1305847 447.12
## - U2      1    123167 1319946 447.56
## - Ed      1    136222 1333001 447.96
## - Po1     1    160693 1357472 448.71
## - M       1    172375 1369154 449.06
## - Prob    1    199283 1396061 449.86
## - Ineq    1    408174 1604953 455.58
## 
## Step:  AIC=444.8
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     35891 1269867 443.97
## - Po2   1     50539 1284515 444.45
## <none>              1233976 444.80
## - M.F   1     82118 1316094 445.44
## - U1    1    141940 1375916 447.26
## - M     1    146588 1380564 447.40
## - U2    1    159325 1393301 447.78
## - Po1   1    160578 1394554 447.82
## - Ed    1    167413 1401389 448.02
## - Prob  1    223174 1457150 449.62
## - Ineq  1    434237 1668213 455.16
## 
## Step:  AIC=443.97
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     27374 1297241 442.85
## <none>              1269867 443.97
## - Po1   1    125935 1395802 445.85
## - M     1    125986 1395853 445.85
## - U1    1    144608 1414475 446.40
## - M.F   1    150623 1420490 446.57
## - U2    1    170388 1440255 447.14
## - Ed    1    189746 1459613 447.68
## - Prob  1    205372 1475239 448.12
## - Ineq  1    426889 1696756 453.86
## 
## Step:  AIC=442.85
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1297241 442.85
## - M     1    127428 1424669 444.69
## - U1    1    149867 1447107 445.33
## - M.F   1    179010 1476251 446.15
## - U2    1    182841 1480082 446.26
## - Ed    1    184664 1481905 446.31
## - Prob  1    216275 1513516 447.17
## - Ineq  1    476313 1773554 453.67
## - Po1   1   1096867 2394108 465.97
## Start:  AIC=473.37
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       275 1234185 471.38
## - So      1      2313 1236222 471.45
## - LF      1      5956 1239865 471.58
## - Pop     1     14198 1248107 471.87
## - NW      1     21420 1255329 472.11
## - Po2     1     24743 1258652 472.23
## - Wealth  1     31702 1265611 472.46
## <none>                1233909 473.37
## - M.F     1     63805 1297714 473.54
## - U1      1     81784 1315693 474.13
## - M       1     86732 1320641 474.29
## - Po1     1    108494 1342404 475.00
## - U2      1    142678 1376587 476.08
## - Prob    1    231875 1465784 478.78
## - Ed      1    336372 1570281 481.74
## - Ineq    1    405936 1639846 483.60
## 
## Step:  AIC=471.38
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2724 1236908 469.48
## - LF      1      5758 1239943 469.58
## - Pop     1     15948 1250133 469.94
## - NW      1     21560 1255744 470.13
## - Po2     1     26637 1260822 470.30
## - Wealth  1     31426 1265611 470.46
## <none>                1234185 471.38
## - M.F     1     69357 1303542 471.73
## - U1      1     81809 1315994 472.14
## - M       1     89279 1323464 472.39
## - Po1     1    117646 1351831 473.30
## - U2      1    143086 1377271 474.10
## - Prob    1    284917 1519102 478.31
## - Ed      1    336103 1570287 479.74
## - Ineq    1    406547 1640731 481.63
## 
## Step:  AIC=469.48
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     13023 1249931 467.93
## - Pop     1     15959 1252867 468.03
## - Po2     1     27212 1264120 468.41
## - NW      1     31113 1268022 468.55
## - Wealth  1     35756 1272665 468.70
## <none>                1236908 469.48
## - M.F     1     76130 1313038 470.05
## - M       1     93171 1330079 470.60
## - U1      1    110337 1347245 471.15
## - Po1     1    117147 1354055 471.37
## - U2      1    165876 1402785 472.89
## - Prob    1    299180 1536089 476.79
## - Ed      1    346604 1583513 478.10
## - Ineq    1    479058 1715967 481.55
## 
## Step:  AIC=467.93
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     19922 1269853 466.61
## - Pop     1     22026 1271958 466.68
## - NW      1     25370 1275302 466.79
## - Wealth  1     34301 1284232 467.09
## <none>                1249931 467.93
## - M.F     1     63952 1313884 468.07
## - U1      1     97561 1347492 469.16
## - Po1     1    106970 1356902 469.46
## - M       1    112637 1362568 469.64
## - U2      1    167279 1417210 471.33
## - Prob    1    286466 1536398 474.80
## - Ed      1    337166 1587097 476.20
## - Ineq    1    480126 1730058 479.91
## 
## Step:  AIC=466.61
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     17358 1287212 465.19
## - NW      1     20457 1290311 465.30
## - Wealth  1     35376 1305229 465.79
## <none>                1269853 466.61
## - M.F     1     83819 1353673 467.36
## - U1      1    103789 1373643 467.99
## - M       1    118483 1388336 468.44
## - U2      1    179987 1449840 470.31
## - Prob    1    288676 1558530 473.42
## - Ed      1    317910 1587764 474.22
## - Ineq    1    497727 1767581 478.83
## - Po1     1    649964 1919818 482.38
## 
## Step:  AIC=465.19
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     19755 1306966 463.85
## - Wealth  1     29321 1316532 464.16
## <none>                1287212 465.19
## - M       1    122106 1409318 467.09
## - U1      1    128571 1415782 467.29
## - M.F     1    156765 1443976 468.13
## - U2      1    196482 1483693 469.30
## - Prob    1    271658 1558870 471.43
## - Ed      1    313140 1600352 472.55
## - Ineq    1    491313 1778525 477.09
## - Po1     1    686473 1973685 481.57
## 
## Step:  AIC=463.85
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     23541 1330507 462.61
## <none>                1306966 463.85
## - U1      1    128940 1435906 465.89
## - M.F     1    138083 1445049 466.17
## - M       1    200007 1506974 467.97
## - U2      1    207229 1514195 468.18
## - Prob    1    255157 1562123 469.52
## - Ed      1    314475 1621442 471.12
## - Ineq    1    579872 1886838 477.64
## - Po1     1    968039 2275005 485.68
## 
## Step:  AIC=462.61
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1330507 462.61
## - M.F   1    161136 1491643 465.53
## - U1    1    165476 1495983 465.66
## - M     1    179508 1510015 466.06
## - U2    1    259358 1589865 468.27
## - Prob  1    292619 1623126 469.16
## - Ed    1    374673 1705180 471.28
## - Ineq  1    725848 2056355 479.34
## - Po1   1   1291403 2621910 489.78
## Start:  AIC=466.67
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       314 1312055 464.68
## - Time    1      9491 1321232 464.97
## - LF      1     10789 1322530 465.01
## - Pop     1     14984 1326725 465.14
## - NW      1     23370 1335111 465.41
## - M.F     1     25636 1337376 465.48
## - Po2     1     34070 1345811 465.74
## - Wealth  1     45367 1357108 466.09
## <none>                1311741 466.67
## - U1      1     75840 1387580 467.03
## - Po1     1    126693 1438433 468.54
## - M       1    147565 1459306 469.14
## - U2      1    155494 1467235 469.37
## - Prob    1    197534 1509275 470.56
## - Ed      1    316206 1627947 473.74
## - Ineq    1    348525 1660266 474.56
## 
## Step:  AIC=464.68
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9189 1321243 462.97
## - LF      1     11953 1324008 463.06
## - Pop     1     14942 1326996 463.15
## - NW      1     25381 1337435 463.48
## - M.F     1     25407 1337462 463.48
## - Po2     1     33995 1346049 463.75
## - Wealth  1     46138 1358193 464.13
## <none>                1312055 464.68
## - U1      1     86305 1398359 465.35
## - Po1     1    127083 1439138 466.56
## - M       1    147881 1459935 467.16
## - U2      1    161444 1473499 467.55
## - Prob    1    205124 1517178 468.78
## - Ed      1    316165 1628220 471.74
## - Ineq    1    393768 1705822 473.70
## 
## Step:  AIC=462.97
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     10864 1332107 461.31
## - NW      1     18658 1339901 461.56
## - Pop     1     22329 1343572 461.67
## - Po2     1     26412 1347655 461.80
## - M.F     1     31980 1353224 461.97
## - Wealth  1     43283 1364526 462.32
## <none>                1321243 462.97
## - U1      1     81935 1403178 463.50
## - Po1     1    117896 1439140 464.56
## - M       1    140109 1461352 465.20
## - U2      1    157038 1478282 465.69
## - Prob    1    241324 1562567 468.02
## - Ed      1    324907 1646150 470.20
## - Ineq    1    417825 1739068 472.51
## 
## Step:  AIC=461.31
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     14499 1346606 459.77
## - Po2     1     20385 1352491 459.95
## - M.F     1     21351 1353458 459.98
## - Pop     1     27545 1359652 460.17
## - Wealth  1     42697 1374804 460.64
## <none>                1332107 461.31
## - U1      1     71417 1403524 461.51
## - Po1     1    109048 1441155 462.62
## - U2      1    161757 1493863 464.13
## - M       1    165025 1497132 464.22
## - Prob    1    230529 1562636 466.02
## - Ed      1    322198 1654305 468.41
## - Ineq    1    417306 1749413 470.76
## 
## Step:  AIC=459.77
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     14463 1361069 458.22
## - M.F     1     17790 1364396 458.32
## - Pop     1     25804 1372410 458.57
## - Wealth  1     38601 1385207 458.95
## <none>                1346606 459.77
## - U1      1     79626 1426232 460.18
## - Po1     1    100986 1447592 460.81
## - U2      1    177949 1524555 462.98
## - Prob    1    217769 1564375 464.06
## - M       1    254669 1601275 465.04
## - Ed      1    314181 1660786 466.58
## - Ineq    1    514360 1860966 471.36
## 
## Step:  AIC=458.22
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     24864 1385933 456.98
## - Pop     1     27344 1388413 457.05
## - Wealth  1     42052 1403121 457.49
## <none>                1361069 458.22
## - U1      1     84402 1445471 458.74
## - U2      1    180006 1541075 461.43
## - Prob    1    212464 1573533 462.31
## - M       1    253082 1614151 463.38
## - Ed      1    303623 1664692 464.67
## - Ineq    1    550062 1911131 470.47
## - Po1     1   1001096 2362165 479.37
## 
## Step:  AIC=456.98
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     59819 1445752 456.75
## - U1      1     60142 1446075 456.76
## <none>                1385933 456.98
## - Pop     1     70157 1456090 457.05
## - U2      1    157449 1543382 459.50
## - Prob    1    221870 1607803 461.21
## - M       1    284782 1670715 462.83
## - Ed      1    396084 1782017 465.53
## - Ineq    1    725056 2110989 472.65
## - Po1     1   1122701 2508634 479.90
## 
## Step:  AIC=456.75
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     56976 1502728 456.38
## <none>              1445752 456.75
## - U1    1     75826 1521577 456.90
## - U2    1    213425 1659177 460.53
## - M     1    261686 1707437 461.74
## - Prob  1    283824 1729576 462.28
## - Ed    1    562897 2008649 468.56
## - Ineq  1    782326 2228077 472.92
## - Po1   1   1598499 3044251 486.03
## 
## Step:  AIC=456.38
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     62452 1565179 456.09
## <none>              1502728 456.38
## - U2    1    201311 1704039 459.66
## - Prob  1    244679 1747407 460.71
## - M     1    333788 1836516 462.80
## - Ed    1    636226 2138954 469.20
## - Ineq  1    728521 2231249 470.98
## - Po1   1   1714231 3216958 486.34
## 
## Step:  AIC=456.09
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1565179 456.09
## - U2    1    176127 1741306 458.56
## - Prob  1    267230 1832409 460.71
## - M     1    312745 1877925 461.74
## - Ed    1    574332 2139511 467.21
## - Ineq  1    768000 2333179 470.85
## - Po1   1   2526551 4091730 494.45
## Start:  AIC=465.68
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2421 1283851 463.76
## - Pop     1     10308 1291738 464.02
## - Time    1     13998 1295428 464.14
## - LF      1     16904 1298334 464.23
## - Po2     1     22663 1304093 464.42
## - Wealth  1     24046 1305476 464.47
## - NW      1     38874 1320304 464.94
## - M.F     1     47750 1329180 465.22
## <none>                1281430 465.68
## - Po1     1     88214 1369644 466.48
## - U1      1    107015 1388445 467.05
## - M       1    136291 1417721 467.93
## - Prob    1    195570 1477000 469.65
## - U2      1    213667 1495097 470.16
## - Ed      1    425414 1706844 475.72
## - Ineq    1    464110 1745540 476.67
## 
## Step:  AIC=463.76
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     11123 1294974 462.13
## - Time    1     12240 1296091 462.16
## - LF      1     14849 1298701 462.25
## - Po2     1     21492 1305344 462.46
## - Wealth  1     22808 1306659 462.50
## - NW      1     38578 1322429 463.01
## - M.F     1     45399 1329250 463.22
## <none>                1283851 463.76
## - Po1     1     87290 1371141 464.53
## - U1      1    114617 1398469 465.36
## - M       1    134141 1417992 465.94
## - Prob    1    193166 1477017 467.65
## - U2      1    218650 1502501 468.37
## - Ed      1    424663 1708514 473.77
## - Ineq    1    498351 1782202 475.54
## 
## Step:  AIC=462.13
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     18874 1313849 460.73
## - Time    1     21193 1316168 460.81
## - LF      1     22186 1317160 460.84
## - Po2     1     25130 1320105 460.93
## - NW      1     41474 1336448 461.45
## <none>                1294974 462.13
## - M.F     1     79654 1374628 462.63
## - Po1     1     87999 1382973 462.89
## - U1      1    142515 1437489 464.51
## - M       1    143906 1438880 464.55
## - Prob    1    201950 1496925 466.21
## - U2      1    225796 1520771 466.88
## - Ed      1    426571 1721545 472.08
## - Ineq    1    503321 1798296 473.92
## 
## Step:  AIC=460.73
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     21574 1335423 459.42
## - Time  1     22500 1336349 459.45
## - Po2   1     26654 1340502 459.58
## - NW    1     36789 1350638 459.89
## <none>              1313849 460.73
## - M.F   1     84365 1398214 461.35
## - Po1   1     97182 1411031 461.73
## - M     1    132640 1446489 462.77
## - U1    1    170137 1483986 463.85
## - Prob  1    263243 1577092 466.40
## - U2    1    282594 1596443 466.92
## - Ed    1    501685 1815534 472.32
## - Ineq  1    565254 1879103 473.76
## 
## Step:  AIC=459.42
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     15549 1350971 457.90
## - Time  1     21058 1356481 458.07
## - NW    1     27959 1363381 458.29
## - M.F   1     62923 1398346 459.35
## <none>              1335423 459.42
## - Po1   1     80022 1415444 459.86
## - U1    1    148583 1484005 461.85
## - M     1    166090 1501513 462.34
## - Prob  1    243400 1578823 464.45
## - U2    1    289423 1624845 465.66
## - Ed    1    486669 1822092 470.47
## - Ineq  1    556526 1891949 472.05
## 
## Step:  AIC=457.9
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1      9688 1360660 456.20
## - NW    1     19911 1370883 456.52
## <none>              1350971 457.90
## - M.F   1     90508 1441480 458.63
## - U1    1    143803 1494774 460.15
## - M     1    167420 1518392 460.81
## - Prob  1    227900 1578872 462.45
## - U2    1    291031 1642002 464.10
## - Ed    1    485978 1836950 468.81
## - Ineq  1    613825 1964796 471.64
## - Po1   1    807823 2158794 475.59
## 
## Step:  AIC=456.2
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     15383 1376043 454.68
## <none>              1360660 456.20
## - M.F   1    119548 1480208 457.74
## - U1    1    137032 1497691 458.23
## - M     1    161700 1522360 458.92
## - Prob  1    272631 1633291 461.87
## - U2    1    281912 1642571 462.11
## - Ed    1    493116 1853776 467.19
## - Ineq  1    605756 1966415 469.67
## - Po1   1    859579 2220239 474.77
## 
## Step:  AIC=454.68
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1376043 454.68
## - M.F   1    105289 1481332 455.77
## - U1    1    134899 1510942 456.60
## - M     1    257111 1633154 459.87
## - Prob  1    260173 1636216 459.95
## - U2    1    287848 1663891 460.65
## - Ed    1    478541 1854583 465.21
## - Ineq  1    760755 2136797 471.16
## - Po1   1   1213848 2589890 479.24
## Start:  AIC=453.67
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       273  963018 451.69
## - NW      1      4290  967035 451.86
## - LF      1     11773  974518 452.19
## - Wealth  1     12722  975468 452.23
## - Po2     1     16528  979273 452.39
## - Time    1     16901  979646 452.41
## - So      1     28409  991154 452.90
## <none>                 962745 453.67
## - Prob    1     68093 1030839 454.54
## - Po1     1     73985 1036731 454.78
## - U1      1    116245 1078990 456.46
## - M.F     1    133644 1096390 457.13
## - Ineq    1    167180 1129926 458.40
## - M       1    177468 1140213 458.78
## - U2      1    196845 1159591 459.49
## - Ed      1    506605 1469350 469.43
## 
## Step:  AIC=451.69
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      4192  967210 449.87
## - LF      1     11511  974529 450.19
## - Wealth  1     13172  976191 450.26
## - Po2     1     16439  979458 450.40
## - Time    1     18365  981383 450.48
## - So      1     28138  991156 450.90
## <none>                 963018 451.69
## - Prob    1     68220 1031238 452.56
## - Po1     1     75081 1038100 452.84
## - U1      1    118042 1081060 454.54
## - M.F     1    160122 1123141 456.15
## - M       1    178836 1141854 456.84
## - Ineq    1    192489 1155507 457.34
## - U2      1    196574 1159593 457.49
## - Ed      1    506356 1469375 467.43
## 
## Step:  AIC=449.87
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      7868  975078 448.21
## - Wealth  1     10267  977478 448.31
## - Po2     1     12924  980134 448.43
## - Time    1     28417  995627 449.09
## <none>                 967210 449.87
## - So      1     48500 1015710 449.92
## - Prob    1     65094 1032304 450.60
## - Po1     1     70912 1038122 450.84
## - U1      1    114090 1081300 452.55
## - M.F     1    156296 1123506 454.16
## - Ineq    1    192720 1159930 455.50
## - U2      1    194832 1162043 455.58
## - M       1    197700 1164910 455.68
## - Ed      1    503584 1470794 465.47
## 
## Step:  AIC=448.21
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      7445  982523 446.53
## - Po2     1      8585  983663 446.58
## - Time    1     27305 1002383 447.37
## <none>                 975078 448.21
## - Po1     1     63541 1038619 448.86
## - Prob    1     64022 1039100 448.88
## - So      1     76057 1051134 449.36
## - U1      1    109271 1084349 450.67
## - M.F     1    157321 1132399 452.49
## - Ineq    1    187594 1162672 453.60
## - U2      1    193953 1169030 453.83
## - M       1    194532 1169610 453.85
## - Ed      1    506795 1481873 463.79
## 
## Step:  AIC=446.53
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1      8453  990976 444.89
## - Time  1     31874 1014397 445.87
## <none>               982523 446.53
## - Po1   1     66755 1049278 447.29
## - Prob  1     70849 1053372 447.45
## - So    1     88666 1071190 448.16
## - U1    1    119585 1102108 449.35
## - M.F   1    181079 1163602 451.63
## - M     1    187743 1170266 451.87
## - U2    1    214871 1197394 452.84
## - Ineq  1    239238 1221762 453.68
## - Ed    1    579679 1562202 464.01
## 
## Step:  AIC=444.89
## .outcome ~ So + M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     43878 1034854 444.71
## <none>               990976 444.89
## - Prob  1     63831 1054807 445.51
## - So    1     83219 1074195 446.28
## - U1    1    126458 1117434 447.93
## - M     1    185047 1176023 450.08
## - U2    1    228575 1219552 451.61
## - M.F   1    235357 1226334 451.84
## - Ineq  1    250976 1241952 452.37
## - Ed    1    571482 1562459 462.01
## - Po1   1   1140803 2131780 475.06
## 
## Step:  AIC=444.71
## .outcome ~ So + M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1034854 444.71
## - So    1     66990 1101844 445.34
## - U1    1    140160 1175014 448.04
## - M.F   1    193204 1228058 449.90
## - Prob  1    214400 1249254 450.62
## - M     1    248611 1283465 451.75
## - U2    1    261139 1295993 452.16
## - Ineq  1    282537 1317391 452.85
## - Ed    1    533714 1568568 460.18
## - Po1   1   1206677 2241531 475.17
## Start:  AIC=474.93
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1432 1280684 472.97
## - M.F     1      2652 1281903 473.01
## - Po2     1      9227 1288478 473.23
## - LF      1     10225 1289476 473.27
## - Pop     1     17352 1296603 473.50
## - Time    1     20599 1299850 473.61
## - NW      1     25290 1304541 473.77
## - Wealth  1     37593 1316844 474.17
## - U1      1     44787 1324038 474.40
## <none>                1279251 474.93
## - Po1     1     73215 1352466 475.32
## - U2      1    198276 1477527 479.12
## - Ed      1    211432 1490683 479.50
## - Prob    1    228351 1507603 479.99
## - M       1    231864 1511116 480.09
## - Ineq    1    304876 1584127 482.12
## 
## Step:  AIC=472.97
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      4352 1285036 471.12
## - LF      1      9230 1289914 471.28
## - Po2     1     10313 1290997 471.32
## - Pop     1     17589 1298273 471.56
## - Time    1     21693 1302377 471.70
## - NW      1     37810 1318494 472.22
## - Wealth  1     43211 1323894 472.40
## <none>                1280684 472.97
## - U1      1     70726 1351410 473.28
## - Po1     1     74931 1355615 473.42
## - U2      1    222225 1502908 477.85
## - Ed      1    227486 1508170 478.00
## - M       1    232289 1512972 478.14
## - Prob    1    233215 1513898 478.17
## - Ineq    1    405958 1686642 482.81
## 
## Step:  AIC=471.12
## .outcome ~ M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      8890 1293926 469.42
## - Time    1     26354 1311390 469.99
## - LF      1     29907 1314943 470.11
## - Pop     1     32425 1317461 470.19
## - NW      1     36614 1321650 470.33
## - Wealth  1     49499 1334535 470.74
## <none>                1285036 471.12
## - Po1     1     73300 1358336 471.50
## - U1      1     75349 1360385 471.57
## - U2      1    218864 1503900 475.88
## - Ed      1    223429 1508465 476.01
## - Prob    1    238177 1523213 476.43
## - M       1    356685 1641721 479.65
## - Ineq    1    430040 1715076 481.53
## 
## Step:  AIC=469.42
## .outcome ~ M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     19364 1313290 468.05
## - NW      1     30901 1324827 468.43
## - Pop     1     36870 1330796 468.62
## - Wealth  1     47968 1341895 468.98
## - LF      1     58307 1352233 469.31
## <none>                1293926 469.42
## - U1      1     70371 1364297 469.69
## - Ed      1    216431 1510357 474.07
## - U2      1    228746 1522672 474.42
## - Prob    1    229793 1523719 474.44
## - M       1    394432 1688358 478.86
## - Ineq    1    433379 1727305 479.84
## - Po1     1    736416 2030342 486.79
## 
## Step:  AIC=468.05
## .outcome ~ M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     20982 1334272 466.74
## - Wealth  1     46241 1359531 467.54
## - LF      1     50707 1363996 467.68
## - U1      1     58708 1371998 467.93
## <none>                1313290 468.05
## - Pop     1     71029 1384319 468.32
## - U2      1    214930 1528220 472.57
## - Prob    1    243699 1556989 473.37
## - Ed      1    247575 1560865 473.48
## - M       1    376133 1689423 476.88
## - Ineq    1    464156 1777446 479.07
## - Po1     1    876071 2189360 488.03
## 
## Step:  AIC=466.74
## .outcome ~ M + Ed + Po1 + LF + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     39415 1373687 465.99
## - LF      1     42864 1377136 466.10
## - Pop     1     61672 1395944 466.68
## <none>                1334272 466.74
## - U1      1     67583 1401855 466.86
## - Prob    1    223037 1557309 471.38
## - U2      1    226195 1560468 471.47
## - Ed      1    241992 1576264 471.90
## - M       1    432167 1766439 476.80
## - Ineq    1    565638 1899911 479.93
## - Po1     1   1099878 2434150 490.59
## 
## Step:  AIC=465.99
## .outcome ~ M + Ed + Po1 + LF + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     56590 1430277 465.72
## - Pop   1     59112 1432799 465.80
## <none>              1373687 465.99
## - U1    1     80289 1453975 466.43
## - U2    1    268414 1642100 471.66
## - Prob  1    272939 1646626 471.78
## - Ed    1    277593 1651280 471.90
## - M     1    406485 1780172 475.13
## - Ineq  1    627486 2001172 480.17
## - Po1   1   1597120 2970806 497.16
## 
## Step:  AIC=465.72
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     66989 1497266 465.69
## <none>              1430277 465.72
## - U1    1     88896 1519172 466.32
## - U2    1    237544 1667821 470.33
## - Prob  1    303185 1733462 471.99
## - M     1    352804 1783081 473.20
## - Ed    1    640319 2070596 479.63
## - Ineq  1    853794 2284071 483.85
## - Po1   1   1570000 3000276 495.58
## 
## Step:  AIC=465.69
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1497266 465.69
## - U1    1     75642 1572908 465.81
## - U2    1    216377 1713643 469.50
## - Prob  1    256874 1754140 470.50
## - M     1    431084 1928350 474.57
## - Ed    1    770536 2267802 481.54
## - Ineq  1    804891 2302157 482.19
## - Po1   1   1605102 3102368 495.02
## Start:  AIC=460.54
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       927 1134680 458.58
## - NW      1      1294 1135048 458.59
## - Time    1      1689 1135443 458.60
## - Pop     1      4918 1138672 458.72
## - LF      1      8246 1142000 458.85
## - Po2     1      8817 1142570 458.87
## - U1      1      9839 1143592 458.90
## - M.F     1     12494 1146247 459.00
## <none>                1133754 460.54
## - Wealth  1     58020 1191773 460.64
## - Prob    1     60101 1193855 460.71
## - U2      1     74979 1208732 461.23
## - Po1     1     88029 1221782 461.68
## - M       1    175634 1309387 464.59
## - Ed      1    197765 1331519 465.29
## - Ineq    1    468384 1602138 473.07
## 
## Step:  AIC=458.58
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      2154 1136835 456.66
## - NW      1      3049 1137729 456.69
## - Pop     1      5137 1139818 456.77
## - LF      1      7399 1142079 456.85
## - Po2     1      8672 1143352 456.90
## - U1      1      8913 1143593 456.90
## - M.F     1     11783 1146464 457.01
## <none>                1134680 458.58
## - Wealth  1     58420 1193101 458.68
## - Prob    1     65711 1200391 458.94
## - U2      1     74263 1208944 459.24
## - Po1     1     88662 1223343 459.74
## - M       1    176028 1310709 462.63
## - Ed      1    198931 1333612 463.36
## - Ineq    1    510340 1645020 472.17
## 
## Step:  AIC=456.66
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      1697 1138532 454.72
## - Pop     1      3958 1140793 454.80
## - LF      1      7532 1144366 454.93
## - M.F     1     10822 1147657 455.05
## - U1      1     11308 1148143 455.07
## - Po2     1     13896 1150731 455.17
## <none>                1136835 456.66
## - Wealth  1     57853 1194687 456.74
## - U2      1     79256 1216091 457.49
## - Po1     1    108460 1245294 458.48
## - Prob    1    134811 1271645 459.36
## - M       1    182220 1319055 460.90
## - Ed      1    200957 1337792 461.49
## - Ineq    1    516363 1653198 470.38
## 
## Step:  AIC=454.72
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      4011 1142543 452.87
## - LF      1      8990 1147522 453.05
## - U1      1     12458 1150990 453.18
## - M.F     1     13898 1152429 453.23
## - Po2     1     17039 1155571 453.34
## <none>                1138532 454.72
## - Wealth  1     57227 1195759 454.78
## - U2      1     78104 1216636 455.51
## - Po1     1    114369 1252900 456.74
## - Prob    1    168125 1306657 458.50
## - M       1    196974 1335506 459.42
## - Ed      1    223803 1362334 460.26
## - Ineq    1    568970 1707501 469.74
## 
## Step:  AIC=452.87
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11475 1154018 451.29
## - U1      1     14946 1157489 451.41
## - Po2     1     15774 1158317 451.44
## - M.F     1     28777 1171320 451.91
## - Wealth  1     53219 1195762 452.78
## <none>                1142543 452.87
## - U2      1     75421 1217963 453.55
## - Po1     1    110814 1253356 454.75
## - Prob    1    164147 1306690 456.50
## - M       1    194532 1337074 457.47
## - Ed      1    223118 1365660 458.36
## - Ineq    1    619561 1762104 469.06
## 
## Step:  AIC=451.29
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      9123 1163141 449.62
## - Po2     1      9811 1163829 449.64
## - M.F     1     18570 1172588 449.96
## - Wealth  1     54477 1208495 451.22
## <none>                1154018 451.29
## - U2      1     76865 1230883 451.99
## - Po1     1     99663 1253682 452.76
## - Prob    1    152764 1306782 454.51
## - Ed      1    214866 1368884 456.46
## - M       1    222935 1376953 456.70
## - Ineq    1    608440 1762458 467.07
## 
## Step:  AIC=449.62
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     10107 1173248 447.98
## - Po2     1     10498 1173639 447.99
## <none>                1163141 449.62
## - Wealth  1     76007 1239148 450.28
## - Po1     1    105404 1268545 451.26
## - U2      1    120166 1283307 451.75
## - Prob    1    147617 1310758 452.63
## - Ed      1    205758 1368899 454.46
## - M       1    240582 1403723 455.51
## - Ineq    1    738056 1901197 468.25
## 
## Step:  AIC=447.98
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     14487 1187735 446.50
## <none>                1173248 447.98
## - Wealth  1     78134 1251382 448.69
## - Po1     1    117477 1290725 449.99
## - Prob    1    142710 1315959 450.80
## - U2      1    150962 1324210 451.06
## - M       1    274245 1447493 454.80
## - Ed      1    365845 1539094 457.38
## - Ineq    1    786493 1959742 467.53
## 
## Step:  AIC=446.5
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1187735 446.50
## - Wealth  1     74082 1261817 447.04
## - Prob    1    141851 1329586 449.23
## - U2      1    157700 1345435 449.73
## - M       1    265065 1452800 452.96
## - Ed      1    361985 1549720 455.67
## - Po1     1    775843 1963578 465.61
## - Ineq    1    842119 2029854 467.00
## Start:  AIC=462.03
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      3724 1178235 460.16
## - Wealth  1     11225 1185736 460.42
## - So      1     12050 1186561 460.45
## - LF      1     29537 1204048 461.07
## - Po2     1     46292 1220803 461.65
## - M.F     1     47437 1221948 461.69
## - NW      1     54590 1229101 461.93
## <none>                1174511 462.03
## - M       1     57806 1232317 462.04
## - Pop     1     66675 1241186 462.34
## - U1      1     88430 1262941 463.07
## - Prob    1    106642 1281153 463.68
## - U2      1    136904 1311415 464.66
## - Po1     1    156111 1330622 465.27
## - Ineq    1    296031 1470542 469.47
## - Ed      1    379849 1554360 471.79
## 
## Step:  AIC=460.16
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     11640 1189876 458.57
## - Wealth  1     14806 1193041 458.68
## - LF      1     28159 1206394 459.15
## - M.F     1     43965 1222200 459.70
## - NW      1     52894 1231130 460.00
## <none>                1178235 460.16
## - Po2     1     59442 1237678 460.23
## - Pop     1     63745 1241981 460.37
## - M       1     75885 1254120 460.78
## - U1      1     96051 1274286 461.45
## - U2      1    151444 1329679 463.24
## - Po1     1    180336 1358571 464.14
## - Prob    1    193377 1371612 464.54
## - Ineq    1    302839 1481074 467.77
## - Ed      1    376186 1554421 469.80
## 
## Step:  AIC=458.57
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      9907 1199783 456.92
## - LF      1     16758 1206633 457.16
## - M.F     1     37360 1227236 457.87
## - NW      1     41303 1231179 458.00
## - Po2     1     54145 1244021 458.44
## <none>                1189876 458.57
## - Pop     1     61673 1251548 458.69
## - M       1     72856 1262732 459.07
## - U1      1     85350 1275226 459.48
## - U2      1    146857 1336733 461.46
## - Po1     1    174075 1363951 462.31
## - Prob    1    227046 1416921 463.91
## - Ineq    1    307384 1497259 466.22
## - Ed      1    365488 1555364 467.82
## 
## Step:  AIC=456.92
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     16360 1216142 455.49
## - M.F   1     43584 1243366 456.42
## - NW    1     44333 1244115 456.44
## - Po2   1     54760 1254542 456.79
## <none>              1199783 456.92
## - Pop   1     58995 1258778 456.94
## - M     1     64234 1264017 457.11
## - U1    1    102304 1302086 458.36
## - U2    1    169816 1369599 460.48
## - Po1   1    181964 1381746 460.85
## - Prob  1    248572 1448355 462.83
## - Ineq  1    385162 1584944 466.61
## - Ed    1    389394 1589177 466.72
## 
## Step:  AIC=455.49
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     28012 1244155 454.44
## - NW    1     35687 1251829 454.70
## - Po2   1     42489 1258631 454.93
## <none>              1216142 455.49
## - Pop   1     69386 1285529 455.82
## - M     1     82850 1298993 456.26
## - U1    1     88640 1304783 456.44
## - Po1   1    166632 1382775 458.88
## - U2    1    185149 1401291 459.44
## - Prob  1    232248 1448391 460.83
## - Ed    1    381401 1597543 464.94
## - Ineq  1    388445 1604588 465.13
## 
## Step:  AIC=454.44
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     37413 1281568 453.69
## - Po2   1     60486 1304641 454.44
## <none>              1244155 454.44
## - U1    1     61317 1305472 454.47
## - M     1     95649 1339804 455.56
## - Pop   1    141373 1385528 456.96
## - U2    1    159422 1403577 457.51
## - Po1   1    221426 1465581 459.32
## - Prob  1    248299 1492454 460.09
## - Ineq  1    458527 1702681 465.62
## - Ed    1    534657 1778812 467.46
## 
## Step:  AIC=453.69
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     41172 1322740 453.02
## <none>              1281568 453.69
## - U1    1     95899 1377467 454.72
## - Pop   1    120474 1402042 455.46
## - Po1   1    197135 1478703 457.70
## - Prob  1    211036 1492604 458.09
## - U2    1    232618 1514186 458.69
## - M     1    232887 1514455 458.70
## - Ed    1    504051 1785619 465.62
## - Ineq  1    765829 2047397 471.37
## 
## Step:  AIC=453.02
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1322740 453.02
## - U1    1     88490 1411230 453.74
## - Pop   1    115046 1437786 454.52
## - Prob  1    219317 1542056 457.46
## - U2    1    227708 1550448 457.69
## - M     1    238428 1561168 457.98
## - Ed    1    489925 1812665 464.25
## - Ineq  1    798525 2121265 470.85
## - Po1   1   1571598 2894338 483.91
## Start:  AIC=459.57
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1        46  895246 457.58
## - Pop     1      3580  898780 457.75
## - LF      1      3880  899080 457.76
## - So      1     10284  905484 458.07
## - U1      1     10931  906131 458.10
## - Wealth  1     21537  916737 458.60
## - NW      1     31781  926981 459.08
## <none>                 895200 459.57
## - Po2     1     86365  981564 461.54
## - U2      1     92383  987583 461.80
## - Time    1    128985 1024185 463.36
## - M       1    191468 1086668 465.91
## - Po1     1    206079 1101279 466.48
## - Prob    1    258067 1153267 468.47
## - Ineq    1    390876 1286076 473.15
## - Ed      1    461870 1357070 475.46
## 
## Step:  AIC=457.58
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      4574  899820 455.80
## - Pop     1      4620  899865 455.80
## - So      1     10994  906239 456.10
## - U1      1     12641  907887 456.18
## - Wealth  1     22036  917282 456.62
## - NW      1     31809  927055 457.08
## <none>                 895246 457.58
## - Po2     1     90243  985488 459.71
## - U2      1     92523  987769 459.81
## - Time    1    137710 1032955 461.73
## - M       1    216150 1111396 464.88
## - Po1     1    220971 1116217 465.06
## - Prob    1    259773 1155018 466.53
## - Ineq    1    418408 1313653 472.07
## - Ed      1    518160 1413405 475.21
## 
## Step:  AIC=455.8
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      3786  903606 453.98
## - U1      1      9808  909628 454.26
## - Wealth  1     19354  919174 454.71
## - So      1     22829  922649 454.87
## - NW      1     27570  927389 455.09
## <none>                 899820 455.80
## - Po2     1     88146  987965 457.81
## - U2      1     92548  992367 458.01
## - Time    1    133141 1032961 459.73
## - M       1    214985 1114805 463.01
## - Po1     1    226725 1126545 463.46
## - Prob    1    255469 1155289 464.54
## - Ineq    1    429749 1329568 470.58
## - Ed      1    577564 1477384 475.12
## 
## Step:  AIC=453.98
## .outcome ~ So + M + Ed + Po1 + Po2 + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      9036  912642 452.40
## - Wealth  1     21755  925360 453.00
## - So      1     23729  927335 453.09
## - NW      1     29840  933445 453.37
## <none>                 903606 453.98
## - Po2     1     89201  992807 456.02
## - U2      1     89331  992937 456.03
## - Time    1    192036 1095641 460.26
## - M       1    220242 1123848 461.36
## - Po1     1    223393 1126999 461.48
## - Prob    1    253892 1157498 462.62
## - Ineq    1    431271 1334877 468.76
## - Ed      1    618903 1522509 474.41
## 
## Step:  AIC=452.4
## .outcome ~ So + M + Ed + Po1 + Po2 + NW + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     24045  936688 451.52
## - NW      1     29665  942307 451.78
## - So      1     33475  946117 451.95
## <none>                 912642 452.40
## - Po2     1     83555  996197 454.17
## - U2      1    176589 1089231 458.01
## - Time    1    185891 1098533 458.38
## - M       1    212016 1124658 459.39
## - Po1     1    218393 1131035 459.63
## - Prob    1    257434 1170076 461.09
## - Ineq    1    437632 1350274 467.25
## - Ed      1    641059 1553701 473.28
## 
## Step:  AIC=451.52
## .outcome ~ So + M + Ed + Po1 + Po2 + NW + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     18341  955029 450.36
## <none>               936688 451.52
## - So    1     49884  986571 451.75
## - Po2   1     94075 1030762 453.64
## - Time  1    175072 1111759 456.89
## - U2    1    208488 1145175 458.16
## - M     1    216043 1152730 458.45
## - Po1   1    263762 1200449 460.19
## - Prob  1    294644 1231331 461.28
## - Ineq  1    531573 1468261 468.85
## - Ed    1    708252 1644940 473.74
## 
## Step:  AIC=450.36
## .outcome ~ So + M + Ed + Po1 + Po2 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               955029 450.36
## - So    1     70979 1026008 451.44
## - Po2   1     82437 1037466 451.92
## - Time  1    157284 1112313 454.91
## - U2    1    212368 1167397 456.99
## - Po1   1    252186 1207215 458.43
## - Prob  1    279920 1234949 459.41
## - M     1    321989 1277018 460.85
## - Ineq  1    597535 1552564 469.25
## - Ed    1    690002 1645030 471.74
## Start:  AIC=455.67
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1       951 1010488 453.71
## - Po2     1      1725 1011262 453.74
## - So      1      2927 1012464 453.79
## - NW      1      3639 1013175 453.82
## - LF      1      6244 1015781 453.93
## - Pop     1     22094 1031631 454.58
## - Wealth  1     33378 1042914 455.03
## - Time    1     36533 1046070 455.16
## - Po1     1     41774 1051311 455.37
## <none>                1009537 455.67
## - U1      1     99303 1108839 457.61
## - Prob    1    242904 1252440 462.72
## - U2      1    248163 1257700 462.90
## - M       1    318339 1327875 465.18
## - Ineq    1    436838 1446374 468.77
## - Ed      1    485194 1494730 470.15
## 
## Step:  AIC=453.71
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      2213 1012701 451.80
## - So      1      3273 1013761 451.84
## - NW      1      4837 1015324 451.91
## - LF      1     10925 1021413 452.16
## - Pop     1     21144 1031632 452.58
## - Wealth  1     32710 1043198 453.05
## - Time    1     35665 1046153 453.16
## - Po1     1     44083 1054571 453.50
## <none>                1010488 453.71
## - U1      1    146158 1156646 457.38
## - Prob    1    242187 1252675 460.73
## - U2      1    260667 1271155 461.35
## - M       1    355445 1365932 464.37
## - Ineq    1    445585 1456072 467.05
## - Ed      1    486137 1496625 468.20
## 
## Step:  AIC=451.8
## .outcome ~ So + M + Ed + Po1 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      3084 1015785 449.93
## - So      1      3319 1016019 449.94
## - LF      1      9229 1021929 450.18
## - Pop     1     20624 1033324 450.65
## - Wealth  1     30563 1043263 451.05
## - Time    1     33863 1046564 451.18
## <none>                1012701 451.80
## - U1      1    143974 1156675 455.38
## - Prob    1    245261 1257962 458.91
## - U2      1    259650 1272351 459.39
## - M       1    366857 1379558 462.78
## - Ineq    1    452499 1465199 465.31
## - Po1     1    456009 1468709 465.41
## - Ed      1    492677 1505377 466.45
## 
## Step:  AIC=449.93
## .outcome ~ So + M + Ed + Po1 + LF + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2023 1017808 448.01
## - LF      1      7249 1023034 448.23
## - Pop     1     20453 1036238 448.76
## - Wealth  1     27491 1043277 449.05
## - Time    1     30795 1046580 449.18
## <none>                1015785 449.93
## - U1      1    141163 1156948 453.39
## - Prob    1    257152 1272937 457.41
## - U2      1    258758 1274543 457.46
## - M       1    423534 1439319 462.56
## - Ineq    1    457506 1473291 463.54
## - Ed      1    493753 1509538 464.57
## - Po1     1    646124 1661909 468.60
## 
## Step:  AIC=448.01
## .outcome ~ M + Ed + Po1 + LF + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      5562 1023370 446.24
## - Pop     1     20770 1038578 446.86
## - Wealth  1     26398 1044207 447.09
## - Time    1     30896 1048704 447.27
## <none>                1017808 448.01
## - U1      1    143387 1161195 451.55
## - U2      1    258958 1276766 455.53
## - Prob    1    313499 1331308 457.29
## - M       1    464753 1482561 461.81
## - Ed      1    495493 1513302 462.67
## - Ineq    1    541666 1559474 463.93
## - Po1     1    647436 1665245 466.69
## 
## Step:  AIC=446.24
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     20693 1044063 445.08
## - Wealth  1     23519 1046888 445.19
## - Time    1     28109 1051479 445.38
## <none>                1023370 446.24
## - U1      1    138320 1161690 449.56
## - U2      1    272170 1295540 454.14
## - Prob    1    314400 1337770 455.49
## - M       1    469607 1492977 460.10
## - Ineq    1    546984 1570354 462.22
## - Ed      1    550194 1573564 462.31
## - Po1     1    703168 1726537 466.21
## 
## Step:  AIC=445.08
## .outcome ~ M + Ed + Po1 + U1 + U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     24215 1068277 444.04
## <none>                1044063 445.08
## - Time    1     52110 1096172 445.13
## - U1      1    134346 1178409 448.16
## - U2      1    262368 1306430 452.50
## - Prob    1    317018 1361081 454.22
## - Ineq    1    526898 1570961 460.24
## - M       1    530369 1574431 460.33
## - Ed      1    555248 1599311 460.99
## - Po1     1    826091 1870154 467.56
## 
## Step:  AIC=444.04
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     51116 1119393 444.01
## <none>              1068277 444.04
## - U1    1    151480 1219758 447.61
## - U2    1    290712 1358989 452.15
## - Prob  1    357372 1425649 454.16
## - M     1    506496 1574773 458.34
## - Ineq  1    660626 1728904 462.26
## - Ed    1    666792 1735069 462.41
## - Po1   1   1376383 2444660 476.81
## 
## Step:  AIC=444.01
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1119393 444.01
## - U1    1    112761 1232154 446.04
## - U2    1    249293 1368686 450.45
## - Prob  1    331066 1450459 452.89
## - M     1    468583 1587977 456.69
## - Ineq  1    673528 1792921 461.79
## - Ed    1    784049 1903442 464.30
## - Po1   1   1386178 2505571 475.85
## Start:  AIC=459.61
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      8016 1116910 457.91
## - LF      1      9627 1118521 457.97
## - So      1     10318 1119213 458.00
## - M.F     1     40726 1149620 459.13
## - NW      1     44725 1153619 459.27
## - Wealth  1     45412 1154306 459.30
## <none>                1108894 459.61
## - Time    1     65402 1174296 460.02
## - U1      1     85767 1194661 460.74
## - Po2     1    112547 1221442 461.67
## - U2      1    114422 1223316 461.74
## - M       1    140120 1249015 462.61
## - Ed      1    188735 1297629 464.21
## - Prob    1    230165 1339060 465.53
## - Po1     1    266743 1375637 466.66
## - Ineq    1    342995 1451889 468.93
## 
## Step:  AIC=457.91
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     10572 1127482 456.31
## - LF      1     11821 1128731 456.36
## - Wealth  1     42730 1159639 457.49
## - NW      1     46725 1163635 457.63
## <none>                1116910 457.91
## - M.F     1     65007 1181917 458.29
## - Time    1     82314 1199224 458.90
## - U1      1     97762 1214672 459.44
## - Po2     1    116452 1233362 460.08
## - U2      1    117020 1233930 460.10
## - M       1    146146 1263056 461.08
## - Ed      1    187711 1304621 462.44
## - Prob    1    231144 1348054 463.81
## - Po1     1    263857 1380767 464.82
## - Ineq    1    339565 1456475 467.06
## 
## Step:  AIC=456.31
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      4637 1132118 454.48
## - Wealth  1     34933 1162414 455.59
## - NW      1     36176 1163657 455.64
## <none>                1127482 456.31
## - M.F     1     57988 1185470 456.42
## - Time    1     74958 1202440 457.01
## - U1      1     88462 1215944 457.48
## - U2      1    106456 1233938 458.10
## - Po2     1    107947 1235428 458.15
## - M       1    141116 1268598 459.26
## - Ed      1    185397 1312879 460.70
## - Prob    1    250754 1378236 462.74
## - Po1     1    254860 1382342 462.87
## - Ineq    1    337365 1464847 465.30
## 
## Step:  AIC=454.48
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     33464 1165582 453.70
## - Wealth  1     34389 1166507 453.74
## <none>                1132118 454.48
## - M.F     1     56230 1188348 454.52
## - Time    1     78396 1210514 455.29
## - U1      1     84102 1216220 455.49
## - Po2     1    103335 1235453 456.15
## - U2      1    112332 1244450 456.45
## - M       1    160426 1292544 458.05
## - Ed      1    188279 1320397 458.94
## - Prob    1    246165 1378284 460.74
## - Po1     1    251085 1383203 460.89
## - Ineq    1    332802 1464920 463.30
## 
## Step:  AIC=453.7
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     27584 1193166 452.69
## - M.F     1     50282 1215864 453.48
## <none>                1165582 453.70
## - Time    1     57448 1223030 453.73
## - Po2     1     78511 1244093 454.44
## - U1      1     84245 1249827 454.64
## - U2      1    114366 1279948 455.64
## - Ed      1    176421 1342003 457.62
## - Prob    1    212953 1378535 458.75
## - Po1     1    224682 1390263 459.11
## - M       1    242983 1408565 459.66
## - Ineq    1    458951 1624533 465.65
## 
## Step:  AIC=452.69
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     50210 1243376 452.42
## <none>              1193166 452.69
## - M.F   1     66073 1259238 452.95
## - Po2   1     77415 1270581 453.33
## - U1    1    103607 1296772 454.18
## - U2    1    140750 1333916 455.37
## - Ed    1    218161 1411326 457.74
## - M     1    221077 1414243 457.83
## - Prob  1    234802 1427967 458.23
## - Po1   1    237957 1431123 458.32
## - Ineq  1    534084 1727250 466.22
## 
## Step:  AIC=452.42
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     44567 1287943 451.90
## <none>              1243376 452.42
## - U1    1     94553 1337929 453.50
## - M.F   1    129533 1372909 454.58
## - U2    1    134067 1377443 454.72
## - Po1   1    189901 1433277 456.39
## - Prob  1    193122 1436498 456.48
## - M     1    193273 1436649 456.49
## - Ed    1    255797 1499173 458.28
## - Ineq  1    532232 1775608 465.38
## 
## Step:  AIC=451.9
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1287943 451.90
## - U1    1     96518 1384461 452.93
## - U2    1    138656 1426599 454.19
## - M.F   1    153427 1441371 454.62
## - M     1    195014 1482958 455.82
## - Prob  1    205274 1493218 456.11
## - Ed    1    248146 1536090 457.30
## - Ineq  1    608708 1896652 466.15
## - Po1   1   1741641 3029585 485.82
## Start:  AIC=485.98
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       213 1331919 483.99
## - LF      1     11785 1343491 484.37
## - Time    1     13157 1344863 484.41
## - Pop     1     13946 1345652 484.44
## - NW      1     26542 1358249 484.85
## - Po2     1     30052 1361758 484.96
## - M.F     1     33842 1365548 485.09
## - Wealth  1     45077 1376783 485.45
## <none>                1331706 485.98
## - U1      1     82531 1414237 486.63
## - Po1     1    113308 1445014 487.58
## - U2      1    150164 1481870 488.68
## - M       1    155476 1487182 488.84
## - Prob    1    197673 1529379 490.07
## - Ed      1    313711 1645418 493.29
## - Ineq    1    374708 1706414 494.89
## 
## Step:  AIC=483.99
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     12948 1344866 482.42
## - LF      1     13244 1345163 482.42
## - Pop     1     13993 1345911 482.45
## - Po2     1     29907 1361825 482.97
## - NW      1     30016 1361935 482.97
## - M.F     1     33912 1365831 483.10
## - Wealth  1     46104 1378022 483.49
## <none>                1331919 483.99
## - U1      1     91463 1423381 484.91
## - Po1     1    113404 1445323 485.58
## - U2      1    154954 1486873 486.83
## - M       1    155473 1487392 486.85
## - Prob    1    204467 1536386 488.27
## - Ed      1    313553 1645471 491.29
## - Ineq    1    418499 1750418 494.01
## 
## Step:  AIC=482.42
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     12098 1356964 480.81
## - Pop     1     19473 1364339 481.05
## - Po2     1     19632 1364499 481.05
## - NW      1     21997 1366863 481.13
## - Wealth  1     41031 1385898 481.74
## - M.F     1     47523 1392389 481.94
## <none>                1344866 482.42
## - U1      1     88691 1433558 483.23
## - Po1     1    100458 1445325 483.58
## - M       1    146366 1491233 484.96
## - U2      1    155207 1500074 485.22
## - Prob    1    237787 1582653 487.58
## - Ed      1    325008 1669875 489.94
## - Ineq    1    425790 1770657 492.52
## 
## Step:  AIC=480.81
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     12720 1369684 479.22
## - NW      1     17223 1374187 479.36
## - Pop     1     25218 1382182 479.62
## - M.F     1     35444 1392408 479.94
## - Wealth  1     40225 1397189 480.09
## <none>                1356964 480.81
## - U1      1     76868 1433832 481.23
## - Po1     1     89889 1446853 481.63
## - U2      1    157680 1514645 483.65
## - M       1    176882 1533846 484.20
## - Prob    1    225708 1582672 485.58
## - Ed      1    317066 1674031 488.05
## - Ineq    1    425825 1782789 490.82
## 
## Step:  AIC=479.22
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     14028 1383712 477.67
## - Pop     1     21573 1391257 477.91
## - Wealth  1     41142 1410826 478.52
## - M.F     1     46992 1416676 478.70
## <none>                1369684 479.22
## - U1      1     82809 1452493 479.80
## - U2      1    166225 1535909 482.26
## - M       1    177391 1547075 482.58
## - Prob    1    221187 1590870 483.81
## - Ed      1    304611 1674295 486.06
## - Ineq    1    436081 1805764 489.38
## - Po1     1    649057 2018741 494.29
## 
## Step:  AIC=477.67
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     20432 1404144 476.31
## - Wealth  1     36075 1419787 476.80
## - M.F     1     38924 1422636 476.89
## <none>                1383712 477.67
## - U1      1     82547 1466259 478.22
## - U2      1    171686 1555398 480.81
## - Prob    1    207457 1591169 481.81
## - M       1    271074 1654786 483.54
## - Ed      1    300314 1684026 484.31
## - Ineq    1    531051 1914763 489.96
## - Po1     1    870536 2254247 497.14
## 
## Step:  AIC=476.31
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     28178 1432321 475.19
## <none>                1404144 476.31
## - M.F     1     97996 1502139 477.28
## - U1      1    107881 1512024 477.57
## - Prob    1    189328 1593471 479.88
## - U2      1    195912 1600056 480.06
## - M       1    283374 1687518 482.40
## - Ed      1    303613 1707756 482.93
## - Ineq    1    522313 1926457 488.23
## - Po1     1    965381 2369525 497.34
## 
## Step:  AIC=475.19
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1432321 475.19
## - M.F   1    120506 1552827 476.74
## - U1    1    141193 1573514 477.32
## - Prob  1    243415 1675736 480.09
## - U2    1    251254 1683575 480.30
## - M     1    260098 1692419 480.53
## - Ed    1    364172 1796494 483.15
## - Ineq  1    601600 2033921 488.62
## - Po1   1   1368392 2800714 502.69
## Start:  AIC=478.65
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1       934 1128294 476.69
## - So      1      2895 1130255 476.77
## - Pop     1     15726 1143086 477.26
## - LF      1     26386 1153746 477.67
## - NW      1     27427 1154787 477.71
## - Po2     1     29131 1156491 477.78
## - U1      1     36089 1163449 478.04
## - Wealth  1     52062 1179422 478.64
## <none>                1127360 478.65
## - Time    1     74142 1201502 479.46
## - Ed      1     76821 1204181 479.55
## - U2      1    120933 1248294 481.14
## - Po1     1    126168 1253528 481.32
## - M       1    219655 1347015 484.49
## - Ineq    1    274336 1401696 486.24
## - Prob    1    294454 1421814 486.86
## 
## Step:  AIC=476.69
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4046 1132340 474.85
## - Pop     1     21895 1150188 475.53
## - NW      1     26601 1154894 475.71
## - Po2     1     28352 1156646 475.78
## - U1      1     44501 1172795 476.39
## <none>                1128294 476.69
## - Wealth  1     53778 1182071 476.74
## - LF      1     56883 1185176 476.85
## - Ed      1     75917 1204211 477.55
## - Time    1     83403 1211697 477.83
## - U2      1    120040 1248333 479.14
## - Po1     1    125491 1253784 479.33
## - Ineq    1    275433 1403726 484.30
## - Prob    1    309299 1437593 485.35
## - M       1    309537 1437831 485.36
## 
## Step:  AIC=474.85
## .outcome ~ M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     23235 1155575 473.74
## - Po2     1     32048 1164388 474.07
## - NW      1     40400 1172740 474.39
## <none>                1132340 474.85
## - LF      1     55233 1187573 474.94
## - U1      1     63364 1195704 475.24
## - Wealth  1     66738 1199079 475.37
## - Ed      1     81772 1214112 475.91
## - Time    1     91449 1223789 476.26
## - U2      1    131933 1264273 477.70
## - Po1     1    132210 1264550 477.71
## - Prob    1    306104 1438444 483.37
## - M       1    313807 1446148 483.61
## - Ineq    1    380360 1512700 485.59
## 
## Step:  AIC=473.74
## .outcome ~ M + Ed + Po1 + Po2 + LF + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     35168 1190743 473.06
## - NW      1     41136 1196711 473.28
## <none>                1155575 473.74
## - U1      1     63439 1219014 474.09
## - LF      1     63601 1219176 474.10
## - Wealth  1     64621 1220196 474.13
## - Ed      1     81479 1237054 474.74
## - Po1     1    129986 1285561 476.43
## - U2      1    134287 1289861 476.58
## - Time    1    148339 1303914 477.05
## - Prob    1    313622 1469196 482.31
## - Ineq    1    357709 1513284 483.61
## - M       1    381637 1537212 484.30
## 
## Step:  AIC=473.06
## .outcome ~ M + Ed + Po1 + LF + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     28029 1218772 472.08
## - U1      1     53568 1244311 473.00
## <none>                1190743 473.06
## - Wealth  1     59263 1250006 473.20
## - Ed      1     64537 1255280 473.38
## - Time    1    117227 1307969 475.19
## - LF      1    131965 1322707 475.68
## - U2      1    150886 1341629 476.31
## - Prob    1    282575 1473317 480.43
## - Ineq    1    370874 1561617 482.99
## - M       1    467296 1658039 485.63
## - Po1     1    867615 2058358 495.14
## 
## Step:  AIC=472.08
## .outcome ~ M + Ed + Po1 + LF + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     50280 1269051 471.86
## <none>                1218772 472.08
## - U1      1     57683 1276454 472.12
## - Ed      1     65141 1283912 472.37
## - Time    1     94243 1313015 473.36
## - LF      1    113939 1332710 474.02
## - U2      1    150215 1368986 475.20
## - Prob    1    258491 1477263 478.55
## - Ineq    1    486850 1705622 484.87
## - M       1    510900 1729671 485.49
## - Po1     1   1259955 2478727 501.32
## 
## Step:  AIC=471.86
## .outcome ~ M + Ed + Po1 + LF + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1269051 471.86
## - U1    1     74439 1343491 472.37
## - Time  1     87093 1356144 472.78
## - Ed    1     93028 1362079 472.97
## - LF    1    130093 1399144 474.16
## - U2    1    193143 1462195 476.10
## - Prob  1    299922 1568973 479.20
## - M     1    482955 1752007 484.05
## - Ineq  1    496098 1765149 484.38
## - Po1   1   1961945 3230997 510.98
## Start:  AIC=459.51
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        64 1106271 457.51
## - Wealth  1       127 1106334 457.51
## - Time    1      8763 1114970 457.84
## - Pop     1     11745 1117952 457.95
## - LF      1     30463 1136670 458.65
## - Po2     1     41724 1147931 459.06
## <none>                1106207 459.51
## - NW      1     59234 1165441 459.70
## - U1      1     69642 1175849 460.07
## - Prob    1     74647 1180854 460.25
## - M.F     1     81260 1187467 460.49
## - M       1    124244 1230451 461.98
## - Po1     1    154018 1260225 462.98
## - U2      1    172349 1278556 463.59
## - Ineq    1    208958 1315165 464.78
## - Ed      1    559760 1665967 474.71
## 
## Step:  AIC=457.51
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1       179 1106450 455.52
## - Time    1      8700 1114971 455.84
## - Pop     1     12017 1118288 455.96
## - LF      1     41109 1147380 457.04
## - Po2     1     41735 1148007 457.07
## <none>                1106271 457.51
## - Prob    1     76330 1182601 458.31
## - NW      1     77955 1184226 458.37
## - M.F     1     82960 1189232 458.55
## - U1      1     83238 1189509 458.56
## - M       1    124229 1230500 459.98
## - Po1     1    153954 1260226 460.98
## - U2      1    181522 1287793 461.89
## - Ineq    1    270028 1376300 464.68
## - Ed      1    561234 1667506 472.75
## 
## Step:  AIC=455.52
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1      9790 1116240 453.89
## - Pop   1     11868 1118319 453.97
## - Po2   1     41575 1148025 455.07
## - LF    1     41632 1148083 455.07
## <none>              1106450 455.52
## - Prob  1     76152 1182602 456.31
## - NW    1     78184 1184634 456.39
## - U1    1     86598 1193048 456.68
## - M.F   1     89152 1195603 456.77
## - M     1    127195 1233645 458.09
## - Po1   1    154549 1261000 459.01
## - U2    1    189430 1295881 460.16
## - Ineq  1    375316 1481767 465.79
## - Ed    1    605683 1712133 471.85
## 
## Step:  AIC=453.89
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1      7682 1123923 452.18
## - LF    1     38362 1154602 453.31
## <none>              1116240 453.89
## - Po2   1     59615 1175855 454.07
## - NW    1     79556 1195797 454.78
## - M.F   1     79926 1196166 454.79
## - U1    1     95473 1211714 455.33
## - M     1    146377 1262617 457.06
## - Prob  1    186635 1302875 458.38
## - Po1   1    193759 1309999 458.61
## - U2    1    207248 1323488 459.04
## - Ineq  1    371991 1488231 463.97
## - Ed    1    595893 1712133 469.85
## 
## Step:  AIC=452.18
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     46380 1170303 451.87
## <none>              1123923 452.18
## - Po2   1     59523 1183446 452.34
## - NW    1     80400 1204323 453.08
## - U1    1    108685 1232608 454.05
## - M.F   1    134760 1258682 454.93
## - M     1    154425 1278347 455.58
## - Prob  1    178985 1302908 456.38
## - Po1   1    187541 1311464 456.66
## - U2    1    208337 1332260 457.32
## - Ineq  1    371438 1495360 462.17
## - Ed    1    602142 1726064 468.19
## 
## Step:  AIC=451.87
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     33641 1203944 451.06
## - NW    1     55495 1225798 451.82
## <none>              1170303 451.87
## - U1    1     79133 1249436 452.62
## - M.F   1     89626 1259928 452.97
## - Prob  1    143445 1313747 454.73
## - Po1   1    150653 1320955 454.96
## - M     1    202813 1373116 456.59
## - U2    1    232376 1402679 457.48
## - Ineq  1    388361 1558664 461.91
## - Ed    1    561931 1732234 466.34
## 
## Step:  AIC=451.06
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     39351 1243295 450.42
## <none>              1203944 451.06
## - U1    1     83445 1287389 451.88
## - M.F   1    108493 1312437 452.69
## - Prob  1    138821 1342765 453.65
## - M     1    200730 1404674 455.54
## - U2    1    239992 1443936 456.70
## - Ineq  1    452030 1655974 462.45
## - Ed    1    528812 1732756 464.36
## - Po1   1   1069635 2273579 475.77
## 
## Step:  AIC=450.42
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1243295 450.42
## - M.F   1     88877 1332172 451.32
## - U1    1     90609 1333905 451.37
## - Prob  1    108628 1351923 451.93
## - U2    1    261655 1504950 456.44
## - M     1    313612 1556907 457.86
## - Ed    1    495496 1738792 462.50
## - Ineq  1    672637 1915932 466.58
## - Po1   1   1625320 2868615 483.53
## Start:  AIC=438.91
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1        53  837493 436.91
## - U1      1       475  837915 436.93
## - Time    1       613  838053 436.94
## - M.F     1      8449  845889 437.32
## - NW      1     14168  851608 437.59
## - Wealth  1     26592  864032 438.19
## - So      1     38013  875453 438.73
## <none>                 837440 438.91
## - Pop     1     55539  892979 439.54
## - Po2     1     84124  921563 440.83
## - U2      1     93743  931183 441.26
## - Prob    1    140951  978391 443.28
## - M       1    189654 1027094 445.28
## - Po1     1    210693 1048133 446.11
## - Ineq    1    441163 1278602 454.26
## - Ed      1    540480 1377920 457.32
## 
## Step:  AIC=436.91
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       757  838249 434.95
## - U1      1       779  838271 434.95
## - M.F     1     10292  847784 435.41
## - NW      1     15861  853353 435.68
## - Wealth  1     26644  864137 436.19
## <none>                 837493 436.91
## - So      1     47731  885223 437.18
## - Pop     1     57402  894895 437.63
## - Po2     1     88941  926434 439.05
## - U2      1     94842  932335 439.31
## - Prob    1    147482  984975 441.56
## - M       1    189682 1027174 443.28
## - Po1     1    216726 1054219 444.34
## - Ineq    1    441584 1279076 452.27
## - Ed      1    594551 1432044 456.90
## 
## Step:  AIC=434.95
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1       583  838832 432.97
## - M.F     1      9680  847929 433.42
## - NW      1     22631  860881 434.04
## - Wealth  1     28408  866657 434.31
## <none>                 838249 434.95
## - So      1     50022  888271 435.32
## - Pop     1     71581  909830 436.31
## - Po2     1     89866  928116 437.12
## - U2      1     94345  932594 437.32
## - M       1    213162 1051412 442.23
## - Prob    1    216606 1054856 442.37
## - Po1     1    219729 1057979 442.49
## - Ineq    1    514921 1353170 452.58
## - Ed      1    599196 1437446 455.06
## 
## Step:  AIC=432.97
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     17924  856756 431.84
## - NW      1     25546  864378 432.20
## - Wealth  1     31469  870301 432.48
## <none>                 838832 432.97
## - So      1     60458  899290 433.83
## - Pop     1     73851  912683 434.43
## - Po2     1     89627  928459 435.14
## - M       1    218304 1057136 440.46
## - Po1     1    220310 1059141 440.54
## - Prob    1    222966 1061798 440.64
## - U2      1    250308 1089140 441.68
## - Ineq    1    553864 1392696 451.76
## - Ed      1    600155 1438987 453.10
## 
## Step:  AIC=431.84
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + NW + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     18653  875408 430.72
## - Wealth  1     23910  880665 430.97
## <none>                 856756 431.84
## - Pop     1     59171  915927 432.58
## - So      1     72481  929236 433.17
## - Po2     1     83835  940590 433.67
## - M       1    201693 1058449 438.51
## - Po1     1    213963 1070718 438.98
## - Prob    1    230039 1086795 439.59
## - U2      1    232851 1089606 439.70
## - Ineq    1    561200 1417956 450.50
## - Ed      1    626869 1483624 452.35
## 
## Step:  AIC=430.72
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     30798  906206 430.14
## <none>                 875408 430.72
## - So      1     54661  930069 431.21
## - Pop     1     64109  939517 431.62
## - Po2     1     97701  973109 433.06
## - M       1    183049 1058457 436.51
## - U2      1    219210 1094618 437.89
## - Po1     1    224920 1100329 438.10
## - Prob    1    252928 1128337 439.13
## - Ineq    1    543066 1418474 448.51
## - Ed      1    668665 1544074 451.99
## 
## Step:  AIC=430.14
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>               906206 430.14
## - Pop   1     67500  973706 431.09
## - So    1     68448  974654 431.13
## - Po2   1     99731 1005938 432.42
## - M     1    173494 1079700 435.32
## - U2    1    229542 1135749 437.40
## - Po1   1    250860 1157066 438.16
## - Prob  1    297838 1204044 439.79
## - Ineq  1    641145 1547352 450.08
## - Ed    1    874718 1780924 455.84
## Start:  AIC=472.03
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1        13 1195988 470.03
## - Time    1       477 1196452 470.05
## - So      1      3901 1199876 470.17
## - Po2     1      7856 1203831 470.31
## - NW      1     24772 1220747 470.91
## - Wealth  1     29082 1225057 471.06
## - M.F     1     48324 1244299 471.73
## <none>                1195975 472.03
## - Pop     1     57832 1253807 472.06
## - M       1     65042 1261017 472.31
## - Po1     1     67814 1263789 472.40
## - U1      1     70101 1266076 472.48
## - U2      1    138856 1334831 474.75
## - Prob    1    192460 1388435 476.45
## - Ed      1    244919 1440894 478.04
## - Ineq    1    361737 1557712 481.39
## 
## Step:  AIC=470.03
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       464 1196452 468.05
## - So      1      4718 1200705 468.20
## - Po2     1      9153 1205141 468.36
## - NW      1     28102 1224090 469.03
## - Wealth  1     29979 1225967 469.10
## <none>                1195988 470.03
## - M.F     1     58037 1254025 470.07
## - Pop     1     58778 1254765 470.09
## - M       1     65225 1261213 470.31
## - Po1     1     74400 1270388 470.63
## - U1      1     84845 1280832 470.98
## - U2      1    138981 1334968 472.76
## - Prob    1    194204 1390192 474.50
## - Ed      1    276150 1472138 476.96
## - Ineq    1    377984 1573971 479.84
## 
## Step:  AIC=468.05
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4473 1200925 466.21
## - Po2     1     12030 1208482 466.48
## - Wealth  1     30881 1227333 467.14
## - NW      1     31069 1227521 467.15
## <none>                1196452 468.05
## - M.F     1     59638 1256090 468.14
## - Pop     1     60652 1257105 468.17
## - M       1     73222 1269674 468.60
## - Po1     1     85027 1281479 469.00
## - U1      1     87126 1283578 469.07
## - U2      1    143086 1339538 470.91
## - Prob    1    265332 1461784 474.66
## - Ed      1    276435 1472887 474.99
## - Ineq    1    377553 1574005 477.84
## 
## Step:  AIC=466.21
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      9900 1210825 464.56
## - Wealth  1     35589 1236514 465.46
## - NW      1     42427 1243353 465.70
## - M.F     1     56243 1257169 466.18
## <none>                1200925 466.21
## - Pop     1     72885 1273811 466.74
## - Po1     1     80824 1281749 467.01
## - M       1     81770 1282695 467.04
## - U1      1    103517 1304442 467.76
## - U2      1    172769 1373694 469.99
## - Ed      1    271986 1472911 472.99
## - Prob    1    286269 1487194 473.40
## - Ineq    1    431372 1632297 477.40
## 
## Step:  AIC=464.56
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     34295 1245120 463.76
## - NW      1     36890 1247716 463.85
## <none>                1210825 464.56
## - Pop     1     66686 1277511 464.87
## - M.F     1     75212 1286038 465.15
## - M       1     86340 1297165 465.52
## - U1      1    111816 1322641 466.36
## - U2      1    189368 1400193 468.81
## - Ed      1    267013 1477839 471.13
## - Prob    1    279679 1490505 471.50
## - Ineq    1    445586 1656411 476.04
## - Po1     1    775618 1986443 483.85
## 
## Step:  AIC=463.76
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     29699 1274819 462.78
## <none>              1245120 463.76
## - Pop   1     60065 1305185 463.79
## - M     1     74952 1320073 464.28
## - M.F   1     95129 1340250 464.93
## - U1    1    152506 1397627 466.73
## - U2    1    251632 1496752 469.68
## - Prob  1    301242 1546362 471.08
## - Ed    1    315628 1560748 471.48
## - Ineq  1    478714 1723834 475.75
## - Po1   1   1025214 2270335 487.59
## 
## Step:  AIC=462.78
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     52551 1327370 462.51
## <none>              1274819 462.78
## - M.F   1     76943 1351762 463.30
## - U1    1    152507 1427326 465.63
## - M     1    159350 1434169 465.84
## - U2    1    266905 1541724 468.95
## - Prob  1    272746 1547566 469.11
## - Ed    1    307080 1581899 470.06
## - Ineq  1    660332 1935151 478.72
## - Po1   1   1310204 2585024 491.17
## 
## Step:  AIC=462.51
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1327370 462.51
## - U1    1    164220 1491591 465.53
## - M.F   1    177218 1504588 465.90
## - M     1    215337 1542707 466.98
## - Prob  1    238253 1565623 467.61
## - U2    1    264283 1591654 468.32
## - Ed    1    349695 1677066 470.57
## - Ineq  1    622121 1949492 477.04
## - Po1   1   1333930 2661300 490.42
## Start:  AIC=462.08
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1         9 1176093 460.08
## - Time    1       181 1176265 460.09
## - NW      1      1477 1177560 460.13
## - Pop     1      3142 1179226 460.19
## - Po2     1      4531 1180615 460.24
## - So      1     10013 1186096 460.44
## - LF      1     13580 1189663 460.56
## - U1      1     37965 1214048 461.42
## - M.F     1     50392 1226475 461.84
## <none>                1176084 462.08
## - U2      1     68021 1244105 462.44
## - Po1     1     82208 1258292 462.92
## - Prob    1     87705 1263789 463.10
## - M       1    128493 1304577 464.44
## - Ed      1    175504 1351588 465.92
## - Ineq    1    394381 1570464 472.23
## 
## Step:  AIC=460.08
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1       172 1176265 458.09
## - NW    1      1585 1177677 458.14
## - Pop   1      3600 1179693 458.21
## - Po2   1      4708 1180801 458.25
## - So    1     10192 1186285 458.44
## - LF    1     13647 1189739 458.57
## - U1    1     38037 1214129 459.42
## - M.F   1     51904 1227997 459.90
## <none>              1176093 460.08
## - U2    1     68018 1244111 460.44
## - Po1   1     83147 1259240 460.95
## - Prob  1     87946 1264038 461.11
## - M     1    128515 1304607 462.44
## - Ed    1    175869 1351962 463.93
## - Ineq  1    528568 1704661 473.67
## 
## Step:  AIC=458.09
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      1435 1177700 456.14
## - Pop   1      3457 1179722 456.21
## - Po2   1      4837 1181102 456.26
## - So    1     10039 1186304 456.44
## - LF    1     13511 1189776 456.57
## - U1    1     40432 1216697 457.51
## - M.F   1     52692 1228957 457.93
## <none>              1176265 458.09
## - U2    1     72418 1248683 458.60
## - Po1   1     89887 1266152 459.18
## - M     1    128344 1304609 460.44
## - Prob  1    147570 1323835 461.05
## - Ed    1    179571 1355836 462.05
## - Ineq  1    535885 1712150 471.85
## 
## Step:  AIC=456.14
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1      3863 1181563 454.28
## - Pop   1      4058 1181759 454.28
## - So    1      8870 1186570 454.45
## - LF    1     12085 1189785 454.57
## - U1    1     39603 1217303 455.53
## - M.F   1     52284 1229984 455.96
## <none>              1177700 456.14
## - U2    1     70996 1248696 456.60
## - Po1   1     88463 1266163 457.18
## - Prob  1    163574 1341275 459.60
## - M     1    179821 1357521 460.11
## - Ed    1    187513 1365213 460.34
## - Ineq  1    568386 1746087 470.68
## 
## Step:  AIC=454.28
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1      5168 1186731 452.46
## - LF    1     10388 1191951 452.64
## - So    1     11188 1192751 452.67
## - U1    1     38218 1219781 453.61
## - M.F   1     57556 1239119 454.27
## <none>              1181563 454.28
## - U2    1     70513 1252076 454.71
## - Prob  1    164390 1345953 457.75
## - M     1    181766 1363329 458.29
## - Ed    1    187098 1368661 458.45
## - Ineq  1    585453 1767016 469.18
## - Po1   1   1140984 2322548 480.66
## 
## Step:  AIC=452.46
## .outcome ~ So + M + Ed + Po1 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      7687 1194419 450.73
## - So    1      9334 1196066 450.79
## - U1    1     37563 1224295 451.77
## - M.F   1     53621 1240352 452.32
## <none>              1186731 452.46
## - U2    1     79541 1266272 453.18
## - M     1    179326 1366058 456.37
## - Prob  1    181343 1368074 456.43
## - Ed    1    199075 1385806 456.97
## - Ineq  1    619659 1806390 468.11
## - Po1   1   1301562 2488293 481.56
## 
## Step:  AIC=450.73
## .outcome ~ So + M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1      4826 1199245 448.90
## - U1    1     30357 1224776 449.79
## - M.F   1     47159 1241578 450.36
## <none>              1194419 450.73
## - U2    1     78017 1272436 451.39
## - Prob  1    174033 1368451 454.44
## - M     1    189151 1383570 454.91
## - Ed    1    191566 1385985 454.98
## - Ineq  1    631362 1825781 466.55
## - Po1   1   1344045 2538464 480.39
## 
## Step:  AIC=448.9
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     28116 1227361 447.87
## - M.F   1     53527 1252772 448.73
## <none>              1199245 448.90
## - U2    1     74129 1273374 449.42
## - M     1    195774 1395019 453.25
## - Prob  1    201428 1400673 453.42
## - Ed    1    202728 1401973 453.46
## - Ineq  1    747146 1946391 467.24
## - Po1   1   1367167 2566412 478.85
## 
## Step:  AIC=447.87
## .outcome ~ M + Ed + Po1 + M.F + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     33089 1260450 446.99
## <none>              1227361 447.87
## - U2    1     61100 1288461 447.91
## - Ed    1    177335 1404696 451.54
## - Prob  1    192988 1420349 452.01
## - M     1    200619 1427980 452.23
## - Ineq  1    765534 1992895 466.23
## - Po1   1   2167889 3395250 488.61
## 
## Step:  AIC=446.99
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1260450 446.99
## - U2    1     93302 1353752 447.99
## - Prob  1    176986 1437437 450.51
## - M     1    265802 1526253 453.03
## - Ed    1    493358 1753808 458.86
## - Ineq  1    909997 2170447 467.82
## - Po1   1   2193079 3453530 487.32
## Start:  AIC=453.73
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1472 1203649 451.78
## - So      1      4606 1206782 451.89
## - LF      1     12367 1214543 452.15
## - NW      1     19907 1222084 452.40
## - M.F     1     23316 1225493 452.52
## - Po2     1     36710 1238887 452.96
## - Time    1     40320 1242497 453.08
## <none>                1202177 453.73
## - U1      1     62395 1264572 453.80
## - Wealth  1    105281 1307458 455.17
## - Po1     1    116953 1319130 455.54
## - U2      1    123376 1325553 455.73
## - M       1    160477 1362653 456.87
## - Prob    1    165403 1367579 457.01
## - Ed      1    444366 1646542 464.63
## - Ineq    1    497933 1700109 465.94
## 
## Step:  AIC=451.78
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4308 1207957 449.93
## - LF      1     12745 1216394 450.21
## - NW      1     20575 1224224 450.47
## - M.F     1     32922 1236571 450.89
## - Po2     1     35907 1239556 450.98
## - Time    1     49984 1253633 451.45
## <none>                1203649 451.78
## - U1      1     66119 1269768 451.97
## - Wealth  1    104953 1308602 453.21
## - Po1     1    116075 1319724 453.55
## - U2      1    122914 1326563 453.77
## - M       1    159022 1362671 454.87
## - Prob    1    163932 1367581 455.01
## - Ed      1    448165 1651814 462.76
## - Ineq    1    499467 1703116 464.01
## 
## Step:  AIC=449.93
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8504 1216461 448.21
## - NW      1     16435 1224392 448.48
## - M.F     1     30352 1238308 448.94
## - Po2     1     33436 1241392 449.05
## - Time    1     46612 1254569 449.48
## <none>                1207957 449.93
## - U1      1     61821 1269778 449.97
## - Wealth  1    102455 1310411 451.26
## - Po1     1    113295 1321251 451.60
## - U2      1    119447 1327403 451.79
## - M       1    154721 1362678 452.87
## - Prob    1    170335 1378292 453.33
## - Ed      1    444021 1651978 460.76
## - Ineq    1    569293 1777250 463.76
## 
## Step:  AIC=448.21
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     13796 1230257 446.68
## - M.F     1     22047 1238508 446.95
## - Po2     1     26881 1243342 447.11
## - Time    1     47685 1264146 447.79
## - U1      1     55378 1271839 448.04
## <none>                1216461 448.21
## - Wealth  1     98608 1315068 449.41
## - Po1     1    104925 1321385 449.61
## - U2      1    126086 1342547 450.26
## - Prob    1    161870 1378331 451.34
## - M       1    163678 1380138 451.39
## - Ed      1    446467 1662927 459.03
## - Ineq    1    563570 1780030 461.82
## 
## Step:  AIC=446.68
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     20853 1251110 445.36
## - M.F     1     25399 1255656 445.51
## - Time    1     35924 1266181 445.86
## <none>                1230257 446.68
## - U1      1     79213 1309470 447.23
## - Wealth  1     88655 1318912 447.53
## - Po1     1     98785 1329042 447.84
## - Prob    1    151482 1381739 449.44
## - U2      1    171647 1401904 450.03
## - M       1    271423 1501680 452.85
## - Ed      1    432871 1663128 457.04
## - Ineq    1    607235 1837491 461.12
## 
## Step:  AIC=445.36
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     25008 1276118 444.18
## - M.F     1     39239 1290349 444.63
## <none>                1251110 445.36
## - U1      1     74296 1325406 445.73
## - Wealth  1     91703 1342813 446.26
## - Prob    1    136898 1388009 447.62
## - U2      1    166845 1417955 448.50
## - M       1    256498 1507608 451.01
## - Ed      1    418056 1669166 455.18
## - Ineq    1    654594 1905704 460.62
## - Po1     1    884497 2135607 465.29
## 
## Step:  AIC=444.18
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1276118 444.18
## - U1      1     72644 1348762 444.45
## - M.F     1     73801 1349919 444.48
## - Wealth  1     77885 1354004 444.61
## - Prob    1    113918 1390036 445.68
## - U2      1    158065 1434184 446.96
## - M       1    235581 1511700 449.12
## - Ed      1    440750 1716868 454.34
## - Ineq    1    630844 1906963 458.65
## - Po1     1    899471 2175590 464.05
## Start:  AIC=456.56
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       358 1031675 454.58
## - NW      1       961 1032278 454.60
## - Po2     1      1110 1032427 454.61
## - M.F     1      1126 1032443 454.61
## - LF      1      3027 1034344 454.69
## - Wealth  1     16432 1047749 455.23
## - Time    1     17056 1048373 455.25
## - Pop     1     26408 1057725 455.63
## - Po1     1     49178 1080495 456.52
## <none>                1031317 456.56
## - U1      1     77047 1108364 457.59
## - Prob    1    187356 1218673 461.58
## - U2      1    210239 1241556 462.36
## - M       1    237883 1269200 463.28
## - Ed      1    338220 1369537 466.48
## - Ineq    1    363131 1394449 467.23
## 
## Step:  AIC=454.58
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       641 1032315 452.61
## - M.F     1       939 1032613 452.62
## - Po2     1       986 1032661 452.62
## - LF      1      2732 1034406 452.69
## - Time    1     16717 1048392 453.25
## - Wealth  1     16961 1048636 453.26
## - Pop     1     26693 1058368 453.65
## - Po1     1     48893 1080567 454.52
## <none>                1031675 454.58
## - U1      1     81751 1113425 455.78
## - Prob    1    199507 1231181 460.00
## - U2      1    212601 1244275 460.45
## - M       1    244921 1276596 461.53
## - Ed      1    339655 1371330 464.53
## - Ineq    1    430341 1462015 467.22
## 
## Step:  AIC=452.61
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       607 1032922 450.63
## - M.F     1       701 1033016 450.63
## - LF      1      2328 1034643 450.70
## - Time    1     16143 1048458 451.26
## - Wealth  1     16539 1048854 451.27
## - Pop     1     27329 1059644 451.70
## - Po1     1     48925 1081240 452.55
## <none>                1032315 452.61
## - U1      1     81170 1113486 453.78
## - U2      1    215608 1247923 458.57
## - Prob    1    222410 1254726 458.80
## - M       1    291157 1323472 461.04
## - Ed      1    341955 1374270 462.62
## - Ineq    1    477204 1509519 466.56
## 
## Step:  AIC=450.63
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1       697 1033620 448.66
## - LF      1      1883 1034806 448.71
## - Time    1     15563 1048485 449.26
## - Wealth  1     16243 1049165 449.29
## - Pop     1     28100 1061022 449.76
## <none>                1032922 450.63
## - U1      1     80637 1113560 451.79
## - U2      1    217239 1250161 456.65
## - Prob    1    222705 1255627 456.83
## - M       1    290594 1323516 459.04
## - Ed      1    342667 1375589 460.66
## - Ineq    1    478361 1511284 464.61
## - Po1     1    823552 1856474 473.25
## 
## Step:  AIC=448.66
## .outcome ~ M + Ed + Po1 + LF + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      1208 1034828 446.71
## - Wealth  1     17214 1050834 447.35
## - Time    1     18686 1052306 447.41
## - Pop     1     39992 1073611 448.25
## <none>                1033620 448.66
## - U1      1     93411 1127030 450.29
## - U2      1    217027 1250647 454.66
## - Prob    1    231488 1265108 455.15
## - M       1    322577 1356196 458.07
## - Ed      1    354558 1388178 459.04
## - Ineq    1    521049 1554668 463.80
## - Po1     1    912870 1946489 473.24
## 
## Step:  AIC=446.71
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     17912 1052740 445.43
## - Time    1     17970 1052798 445.43
## - Pop     1     39042 1073870 446.26
## <none>                1034828 446.71
## - U1      1     92811 1127639 448.31
## - U2      1    217295 1252122 452.71
## - Prob    1    237923 1272750 453.40
## - M       1    326083 1360911 456.21
## - Ed      1    433013 1467841 459.39
## - Ineq    1    529690 1564517 462.07
## - Po1     1    911691 1946519 471.24
## 
## Step:  AIC=445.43
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     21918 1074658 444.29
## - Pop   1     41712 1094452 445.06
## <none>              1052740 445.43
## - U1    1    140915 1193655 448.70
## - U2    1    304187 1356927 454.09
## - M     1    308367 1361107 454.22
## - Prob  1    309368 1362108 454.25
## - Ed    1    604994 1657734 462.50
## - Ineq  1    649997 1702737 463.62
## - Po1   1   1473612 2526352 480.19
## 
## Step:  AIC=444.29
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1074658 444.29
## - Pop   1     72840 1147498 445.05
## - U1    1    120611 1195270 446.76
## - U2    1    283029 1357687 452.11
## - M     1    287071 1361729 452.24
## - Prob  1    324347 1399005 453.37
## - Ed    1    661305 1735963 462.43
## - Ineq  1    671551 1746209 462.68
## - Po1   1   1587537 2662195 480.39
## Start:  AIC=460.43
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1         5 1130747 458.43
## - Time    1      9589 1140332 458.78
## - So      1     11085 1141828 458.84
## - Wealth  1     52150 1182892 460.32
## <none>                1130742 460.43
## - NW      1     63380 1194122 460.72
## - LF      1     68568 1199310 460.90
## - Po2     1     96062 1226804 461.85
## - M.F     1    101365 1232107 462.04
## - U1      1    161403 1292145 464.03
## - Prob    1    195368 1326110 465.12
## - M       1    197796 1328538 465.20
## - Po1     1    210601 1341344 465.60
## - U2      1    229259 1360002 466.18
## - Ineq    1    277554 1408296 467.65
## - Ed      1    406921 1537663 471.34
## 
## Step:  AIC=458.43
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     10294 1141042 456.81
## - So      1     11115 1141862 456.84
## - Wealth  1     52649 1183396 458.34
## <none>                1130747 458.43
## - NW      1     64015 1194762 458.74
## - LF      1     71915 1202662 459.02
## - Po2     1     98340 1229088 459.93
## - M.F     1    123685 1254432 460.79
## - U1      1    169673 1300420 462.30
## - Prob    1    196148 1326895 463.15
## - M       1    198133 1328881 463.21
## - Po1     1    211117 1341864 463.62
## - U2      1    230029 1360776 464.21
## - Ineq    1    304727 1435475 466.45
## - Ed      1    406919 1537666 469.34
## 
## Step:  AIC=456.81
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      8094 1149135 455.11
## - Wealth  1     48786 1189828 456.57
## - NW      1     54574 1195616 456.77
## <none>                1141042 456.81
## - LF      1     71038 1212079 457.35
## - Po2     1     88059 1229101 457.93
## - M.F     1    154646 1295687 460.15
## - U1      1    164433 1305475 460.47
## - M       1    192212 1333253 461.35
## - Po1     1    202829 1343871 461.68
## - Prob    1    218500 1359541 462.17
## - U2      1    223484 1364526 462.32
## - Ineq    1    301269 1442310 464.65
## - Ed      1    417106 1558147 467.90
## 
## Step:  AIC=455.11
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     42821 1191957 454.64
## - NW      1     46900 1196035 454.79
## <none>                1149135 455.11
## - LF      1     64897 1214032 455.42
## - Po2     1     83707 1232842 456.06
## - M.F     1    146603 1295738 458.15
## - U1      1    160771 1309906 458.61
## - M       1    189557 1338692 459.52
## - Po1     1    198908 1348043 459.81
## - U2      1    215602 1364738 460.33
## - Prob    1    264646 1413781 461.81
## - Ineq    1    302305 1451440 462.92
## - Ed      1    412064 1561200 465.98
## 
## Step:  AIC=454.64
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     39527 1231484 454.01
## - LF    1     52321 1244277 454.45
## <none>              1191957 454.64
## - Po2   1     89827 1281784 455.70
## - M.F   1    152594 1344551 457.70
## - M     1    159765 1351722 457.93
## - U1    1    179158 1371115 458.53
## - Po1   1    230986 1422942 460.08
## - U2    1    267488 1459444 461.15
## - Ineq  1    280238 1472195 461.51
## - Prob  1    322731 1514688 462.71
## - Ed    1    440974 1632930 465.87
## 
## Step:  AIC=454.01
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     38672 1270156 453.31
## <none>              1231484 454.01
## - Po2   1     64193 1295677 454.15
## - M.F   1    128582 1360065 456.19
## - U1    1    176917 1408401 457.65
## - Po1   1    201940 1433424 458.39
## - M     1    277765 1509249 460.56
## - U2    1    280281 1511765 460.63
## - Prob  1    283213 1514696 460.71
## - Ed    1    408248 1639731 464.04
## - Ineq  1    483733 1715217 465.93
## 
## Step:  AIC=453.31
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     44529 1314685 452.76
## <none>              1270156 453.31
## - M.F   1     89972 1360127 454.19
## - U1    1    139519 1409675 455.69
## - Po1   1    173083 1443239 456.68
## - Prob  1    249673 1519828 458.85
## - U2    1    284273 1554428 459.80
## - M     1    309026 1579182 460.46
## - Ed    1    369842 1639998 462.05
## - Ineq  1    456915 1727071 464.22
## 
## Step:  AIC=452.76
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1314685 452.76
## - M.F   1    120064 1434749 454.43
## - U1    1    150112 1464797 455.30
## - Prob  1    249280 1563964 458.05
## - U2    1    288996 1603680 459.11
## - M     1    307902 1622587 459.60
## - Ed    1    358660 1673345 460.89
## - Ineq  1    545704 1860389 465.34
## - Po1   1   1616875 2931559 484.44
## Start:  AIC=466.43
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2714 1306985 464.51
## - Time    1      4619 1308890 464.57
## - Po2     1     11446 1315717 464.79
## - Pop     1     13033 1317303 464.84
## - LF      1     15107 1319378 464.91
## - NW      1     18853 1323124 465.03
## - M.F     1     41175 1345446 465.73
## - Wealth  1     47367 1351638 465.92
## <none>                1304271 466.43
## - Po1     1     67229 1371500 466.54
## - U1      1    101516 1405787 467.57
## - Prob    1    164836 1469107 469.42
## - M       1    196248 1500519 470.31
## - U2      1    205029 1509300 470.56
## - Ed      1    424626 1728897 476.26
## - Ineq    1    447242 1751513 476.81
## 
## Step:  AIC=464.51
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      3815 1310800 462.64
## - Po2     1     10985 1317970 462.87
## - LF      1     12595 1319580 462.92
## - Pop     1     13117 1320102 462.93
## - NW      1     16196 1323181 463.03
## - M.F     1     38779 1345764 463.74
## - Wealth  1     44686 1351671 463.93
## <none>                1306985 464.51
## - Po1     1     67473 1374458 464.63
## - U1      1    110746 1417731 465.93
## - Prob    1    176990 1483975 467.85
## - M       1    193875 1500860 468.32
## - U2      1    211442 1518428 468.81
## - Ed      1    422989 1729974 474.29
## - Ineq    1    506749 1813735 476.28
## 
## Step:  AIC=462.64
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      7579 1318379 460.88
## - LF      1     12553 1323353 461.04
## - NW      1     13086 1323886 461.05
## - Pop     1     18294 1329094 461.22
## - Wealth  1     43497 1354297 462.01
## - M.F     1     45758 1356558 462.08
## <none>                1310800 462.64
## - Po1     1     65037 1375836 462.67
## - U1      1    108040 1418840 463.96
## - M       1    190171 1500971 466.33
## - U2      1    208956 1519756 466.85
## - Prob    1    230832 1541632 467.45
## - Ed      1    431119 1741918 472.58
## - Ineq    1    525766 1836566 474.80
## 
## Step:  AIC=460.88
## .outcome ~ M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8788 1327166 459.16
## - NW      1      9842 1328220 459.19
## - Pop     1     17510 1335888 459.43
## - Wealth  1     44185 1362563 460.26
## - M.F     1     45882 1364261 460.32
## <none>                1318379 460.88
## - U1      1    105340 1423718 462.11
## - M       1    202994 1521372 464.89
## - U2      1    217188 1535567 465.28
## - Prob    1    226425 1544803 465.53
## - Ed      1    424355 1742733 470.60
## - Ineq    1    559882 1878260 473.74
## - Po1     1    606606 1924984 474.78
## 
## Step:  AIC=459.16
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      7697 1334864 457.40
## - Pop     1     22024 1349191 457.85
## - M.F     1     37414 1364580 458.32
## - Wealth  1     42466 1369633 458.48
## <none>                1327166 459.16
## - U1      1     96603 1423769 460.11
## - Prob    1    217659 1544826 463.54
## - U2      1    217851 1545017 463.54
## - M       1    232046 1559212 463.92
## - Ed      1    433679 1760845 469.03
## - Ineq    1    551933 1879099 471.76
## - Po1     1    686631 2013797 474.67
## 
## Step:  AIC=457.4
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     20920 1355784 456.05
## - M.F     1     32773 1367637 456.42
## - Wealth  1     39475 1374339 456.62
## <none>                1334864 457.40
## - U1      1    101216 1436080 458.47
## - Prob    1    213729 1548593 461.64
## - U2      1    228149 1563013 462.03
## - M       1    313739 1648603 464.27
## - Ed      1    426063 1760926 467.03
## - Ineq    1    626662 1961526 471.57
## - Po1     1    868071 2202934 476.44
## 
## Step:  AIC=456.05
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     33364 1389148 455.07
## <none>                1355784 456.05
## - M.F     1     78739 1434523 456.42
## - U1      1    116564 1472348 457.52
## - Prob    1    194657 1550441 459.69
## - U2      1    231732 1587517 460.68
## - M       1    328070 1683854 463.15
## - Ed      1    422564 1778348 465.45
## - Ineq    1    617620 1973404 469.82
## - Po1     1    926364 2282149 475.92
## 
## Step:  AIC=455.07
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1389148 455.07
## - M.F   1    100341 1489489 456.00
## - U1    1    140391 1529539 457.12
## - Prob  1    247822 1636970 459.97
## - U2    1    273045 1662193 460.61
## - M     1    298420 1687568 461.25
## - Ed    1    479187 1868335 465.52
## - Ineq  1    745158 2134306 471.11
## - Po1   1   1409508 2798655 482.49
## Start:  AIC=452.25
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      7980 1167504 450.53
## - Time    1      9925 1169448 450.60
## - So      1     18211 1177734 450.89
## - Po2     1     38585 1198108 451.59
## - LF      1     44488 1204011 451.79
## - M       1     48771 1208294 451.94
## - M.F     1     49568 1209091 451.96
## <none>                1159523 452.25
## - Pop     1     71290 1230813 452.69
## - Prob    1     82511 1242034 453.07
## - U1      1     94102 1253625 453.45
## - NW      1     94933 1254457 453.47
## - U2      1    130163 1289686 454.61
## - Po1     1    142113 1301636 454.99
## - Ineq    1    357660 1517183 461.27
## - Ed      1    408476 1567999 462.62
## 
## Step:  AIC=450.53
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     14427 1181930 449.03
## - So    1     15166 1182670 449.06
## - Po2   1     37315 1204819 449.82
## - M     1     42479 1209983 449.99
## - LF    1     43203 1210706 450.02
## - M.F   1     57935 1225439 450.51
## <none>              1167504 450.53
## - Pop   1     70711 1238215 450.94
## - Prob  1     84596 1252099 451.40
## - NW    1     91278 1258782 451.62
## - U1    1    101058 1268562 451.93
## - U2    1    138179 1305682 453.12
## - Po1   1    145902 1313405 453.36
## - Ed    1    436112 1603615 461.54
## - Ineq  1    444901 1612405 461.77
## 
## Step:  AIC=449.03
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     13019 1194949 447.48
## - LF    1     38245 1220175 448.34
## - M.F   1     49382 1231312 448.71
## - Pop   1     57479 1239409 448.98
## - Po2   1     58793 1240724 449.02
## <none>              1181930 449.03
## - M     1     60673 1242603 449.09
## - NW    1     90261 1272192 450.05
## - U1    1    113188 1295119 450.78
## - U2    1    161530 1343460 452.28
## - Po1   1    187761 1369691 453.08
## - Prob  1    223713 1405643 454.14
## - Ed    1    423830 1605760 459.60
## - Ineq  1    430555 1612486 459.77
## 
## Step:  AIC=447.48
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     25301 1220250 446.34
## - M.F   1     40726 1235675 446.86
## - Po2   1     55858 1250807 447.35
## - Pop   1     58593 1253542 447.44
## <none>              1194949 447.48
## - M     1     60216 1255165 447.50
## - NW    1     81261 1276210 448.18
## - U1    1    100719 1295668 448.80
## - U2    1    148896 1343845 450.30
## - Po1   1    185676 1380625 451.40
## - Prob  1    282281 1477230 454.18
## - Ed    1    412651 1607600 457.64
## - Ineq  1    432935 1627884 458.16
## 
## Step:  AIC=446.34
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     19036 1239287 444.98
## - Po2   1     39925 1260175 445.66
## <none>              1220250 446.34
## - NW    1     66128 1286378 446.50
## - Pop   1     75637 1295888 446.81
## - U1    1     79055 1299305 446.91
## - M     1     81259 1301509 446.98
## - Po1   1    164643 1384893 449.53
## - U2    1    171776 1392026 449.74
## - Prob  1    259862 1480112 452.26
## - Ed    1    389849 1610100 455.71
## - Ineq  1    436600 1656851 456.88
## 
## Step:  AIC=444.98
## .outcome ~ M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     48806 1288093 444.56
## - U1    1     60027 1299314 444.91
## <none>              1239287 444.98
## - NW    1     62923 1302209 445.01
## - M     1     91735 1331021 445.90
## - Pop   1    145610 1384896 447.53
## - U2    1    155686 1394972 447.83
## - Po1   1    197860 1437147 449.05
## - Prob  1    263777 1503063 450.89
## - Ed    1    553746 1793032 458.12
## - Ineq  1    580327 1819614 458.72
## 
## Step:  AIC=444.56
## .outcome ~ M + Ed + Po1 + Pop + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     43163 1331256 443.91
## - U1    1     54532 1342624 444.26
## <none>              1288093 444.56
## - M     1    107664 1395756 445.85
## - Pop   1    135121 1423214 446.65
## - U2    1    160851 1448944 447.38
## - Prob  1    254681 1542774 449.96
## - Ed    1    552157 1840250 457.19
## - Ineq  1    732195 2020288 461.01
## - Po1   1   1316431 2604523 471.43
## 
## Step:  AIC=443.91
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1331256 443.91
## - U1    1     71797 1403053 444.06
## - Pop   1    116926 1448182 445.36
## - U2    1    180784 1512039 447.13
## - M     1    201118 1532374 447.68
## - Prob  1    219324 1550580 448.16
## - Ed    1    511547 1842802 455.24
## - Ineq  1    940419 2271675 463.82
## - Po1   1   1732723 3063978 476.09
## Start:  AIC=449.05
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1        93 1072661 447.06
## - Po2     1       536 1073104 447.07
## - U1      1      3804 1076372 447.20
## - Pop     1      5373 1077941 447.26
## - Wealth  1      9539 1082107 447.41
## - NW      1     10484 1083052 447.45
## - LF      1     11411 1083979 447.49
## - M.F     1     11959 1084527 447.51
## - So      1     19901 1092469 447.81
## - U2      1     36838 1109406 448.44
## <none>                1072568 449.05
## - Po1     1     59822 1132390 449.28
## - M       1    116819 1189387 451.29
## - Ed      1    127166 1199734 451.65
## - Prob    1    224159 1296727 454.83
## - Ineq    1    276716 1349284 456.46
## 
## Step:  AIC=447.06
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1       761 1073422 445.08
## - U1      1      4067 1076728 445.21
## - Pop     1      5281 1077941 445.26
## - Wealth  1      9994 1082655 445.44
## - LF      1     11549 1084209 445.49
## - NW      1     12187 1084848 445.52
## - M.F     1     12246 1084906 445.52
## - So      1     19871 1092532 445.81
## - U2      1     39579 1112240 446.54
## <none>                1072661 447.06
## - Po1     1     65122 1137783 447.47
## - Ed      1    127076 1199736 449.65
## - M       1    129906 1202567 449.74
## - Ineq    1    277072 1349733 454.48
## - Prob    1    302594 1375255 455.24
## 
## Step:  AIC=445.08
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      3515 1076936 443.22
## - Pop     1      5346 1078767 443.29
## - Wealth  1      9811 1083233 443.46
## - NW      1     11535 1084957 443.52
## - M.F     1     11556 1084977 443.52
## - LF      1     18200 1091622 443.77
## - So      1     22492 1095913 443.93
## - U2      1     39994 1113416 444.58
## <none>                1073422 445.08
## - Ed      1    142023 1215444 448.18
## - M       1    146647 1220068 448.33
## - Ineq    1    276444 1349865 452.48
## - Prob    1    308292 1381714 453.44
## - Po1     1    939710 2013131 468.87
## 
## Step:  AIC=443.22
## .outcome ~ So + M + Ed + Po1 + LF + M.F + Pop + NW + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      6871 1083807 441.48
## - M.F     1      8042 1084979 441.52
## - NW      1     10544 1087481 441.62
## - Wealth  1     11236 1088172 441.64
## - LF      1     28909 1105845 442.30
## - So      1     34731 1111667 442.52
## <none>                1076936 443.22
## - U2      1     56878 1133815 443.33
## - Ed      1    142118 1219055 446.30
## - M       1    160151 1237088 446.90
## - Ineq    1    279064 1356000 450.67
## - Prob    1    332435 1409371 452.25
## - Po1     1   1221240 2298176 472.30
## 
## Step:  AIC=441.48
## .outcome ~ So + M + Ed + Po1 + LF + M.F + NW + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      8371 1092178 439.79
## - NW      1      8768 1092575 439.81
## - M.F     1     20511 1104318 440.25
## - LF      1     24046 1107853 440.38
## - So      1     35210 1119017 440.79
## - U2      1     50190 1133998 441.34
## <none>                1083807 441.48
## - Ed      1    143568 1227376 444.58
## - M       1    154740 1238547 444.95
## - Ineq    1    272608 1356415 448.68
## - Prob    1    326515 1410323 450.28
## - Po1     1   1223766 2307573 470.46
## 
## Step:  AIC=439.79
## .outcome ~ So + M + Ed + Po1 + LF + M.F + NW + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      5665 1097843 438.01
## - M.F   1     18488 1110667 438.48
## - LF    1     31278 1123457 438.95
## - So    1     50596 1142774 439.65
## <none>              1092178 439.79
## - U2    1     59180 1151358 439.96
## - M     1    146867 1239045 442.97
## - Ed    1    149730 1241908 443.06
## - Ineq  1    334826 1427004 448.76
## - Prob  1    351250 1443428 449.23
## - Po1   1   1935660 3027839 479.60
## 
## Step:  AIC=438.01
## .outcome ~ So + M + Ed + Po1 + LF + M.F + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     14761 1112604 436.55
## - LF    1     31929 1129771 437.18
## <none>              1097843 438.01
## - So    1     60739 1158581 438.21
## - U2    1     63891 1161734 438.33
## - Ed    1    147903 1245746 441.19
## - M     1    173284 1271126 442.02
## - Prob  1    359309 1457152 447.62
## - Ineq  1    387279 1485122 448.39
## - Po1   1   2377128 3474971 483.25
## 
## Step:  AIC=436.55
## .outcome ~ So + M + Ed + Po1 + LF + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1112604 436.55
## - So    1     60291 1172895 436.72
## - LF    1     70760 1183364 437.08
## - U2    1    121189 1233793 438.79
## - Ed    1    177222 1289826 440.61
## - M     1    241232 1353836 442.60
## - Prob  1    344875 1457480 445.62
## - Ineq  1    377896 1490501 446.54
## - Po1   1   2381420 3494024 481.47
## Start:  AIC=474.76
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       182 1274469 472.76
## - Time    1       564 1274852 472.78
## - So      1      2662 1276949 472.85
## - LF      1      6551 1280838 472.98
## - M.F     1     14366 1288654 473.24
## - Pop     1     20871 1295158 473.46
## - Po2     1     30916 1305203 473.79
## - U1      1     44207 1318494 474.22
## - Wealth  1     53704 1327992 474.53
## <none>                1274287 474.76
## - Po1     1    126069 1400356 476.81
## - Prob    1    143399 1417687 477.34
## - M       1    178188 1452475 478.39
## - U2      1    187334 1461621 478.66
## - Ed      1    342145 1616432 482.98
## - Ineq    1    398638 1672925 484.46
## 
## Step:  AIC=472.76
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       405 1274875 470.78
## - So      1      4188 1278658 470.91
## - LF      1      6557 1281027 470.98
## - M.F     1     14470 1288939 471.25
## - Pop     1     22039 1296508 471.50
## - Po2     1     32507 1306977 471.85
## - U1      1     45602 1320071 472.28
## - Wealth  1     53528 1327997 472.53
## <none>                1274469 472.76
## - Po1     1    129824 1404294 474.94
## - Prob    1    161106 1435575 475.88
## - U2      1    187187 1461656 476.66
## - M       1    193636 1468105 476.85
## - Ed      1    352365 1626834 481.26
## - Ineq    1    427806 1702276 483.21
## 
## Step:  AIC=470.78
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      4238 1279113 468.92
## - LF      1      6710 1281584 469.00
## - M.F     1     16373 1291247 469.33
## - Pop     1     25057 1299931 469.61
## - Po2     1     32704 1307578 469.87
## - U1      1     45199 1320074 470.28
## - Wealth  1     53422 1328296 470.54
## <none>                1274875 470.78
## - Po1     1    133511 1408386 473.06
## - U2      1    187209 1462084 474.67
## - M       1    203079 1477953 475.13
## - Prob    1    203346 1478221 475.14
## - Ed      1    356996 1631870 479.39
## - Ineq    1    428602 1703476 481.24
## 
## Step:  AIC=468.92
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     12981 1292094 467.35
## - M.F     1     18919 1298032 467.55
## - Pop     1     25677 1304789 467.78
## - Po2     1     29625 1308737 467.91
## - Wealth  1     59041 1338154 468.86
## <none>                1279113 468.92
## - U1      1     68577 1347689 469.17
## - Po1     1    129334 1408447 471.06
## - U2      1    219748 1498861 473.74
## - Prob    1    220762 1499874 473.77
## - M       1    227721 1506833 473.97
## - Ed      1    354252 1633364 477.43
## - Ineq    1    588175 1867288 483.19
## 
## Step:  AIC=467.35
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      9374 1301468 465.67
## - Po2     1     21142 1313236 466.05
## - Pop     1     31826 1323920 466.40
## - Wealth  1     56069 1348163 467.18
## - U1      1     57919 1350013 467.24
## <none>                1292094 467.35
## - Po1     1    117157 1409251 469.09
## - Prob    1    208434 1500527 471.79
## - U2      1    226211 1518304 472.29
## - M       1    249226 1541320 472.94
## - Ed      1    347722 1639816 475.60
## - Ineq    1    577467 1869561 481.24
## 
## Step:  AIC=465.67
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     30585 1332053 464.66
## - U1      1     49220 1350688 465.26
## - Pop     1     60318 1361786 465.61
## <none>                1301468 465.67
## - Wealth  1     71364 1372832 465.96
## - Po1     1    147167 1448635 468.27
## - Prob    1    216139 1517607 470.27
## - U2      1    217092 1518560 470.30
## - M       1    281835 1583303 472.09
## - Ed      1    442307 1743775 476.25
## - Ineq    1    701604 2003072 482.21
## 
## Step:  AIC=464.66
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     48338 1380391 464.20
## <none>                1332053 464.66
## - Pop     1     68756 1400809 464.83
## - Wealth  1     78877 1410931 465.14
## - Prob    1    209497 1541550 468.95
## - U2      1    214410 1546463 469.08
## - M       1    279309 1611363 470.85
## - Ed      1    434519 1766572 474.80
## - Ineq    1    820788 2152842 483.31
## - Po1     1    990391 2322445 486.57
## 
## Step:  AIC=464.2
## .outcome ~ M + Ed + Po1 + Pop + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     58017 1438408 463.97
## <none>                1380391 464.20
## - Wealth  1     98214 1478605 465.15
## - Prob    1    213426 1593817 468.38
## - U2      1    222650 1603041 468.63
## - M       1    276646 1657037 470.05
## - Ed      1    386327 1766718 472.81
## - Ineq    1    884677 2265069 483.49
## - Po1     1   1147812 2528204 488.22
## 
## Step:  AIC=463.97
## .outcome ~ M + Ed + Po1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1438408 463.97
## - Wealth  1     82669 1521077 464.37
## - Prob    1    182752 1621160 467.11
## - U2      1    223598 1662006 468.18
## - M       1    337947 1776356 471.04
## - Ed      1    471949 1910357 474.17
## - Ineq    1    827133 2265541 481.50
## - Po1     1   1137276 2575685 487.02
## Start:  AIC=485.25
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1        24 1309734 483.25
## - So      1        38 1309748 483.25
## - LF      1      6915 1316625 483.48
## - Po2     1     20592 1330301 483.94
## - Time    1     29276 1338986 484.22
## - M.F     1     37452 1347162 484.49
## - NW      1     37984 1347693 484.51
## <none>                1309710 485.25
## - U1      1     61246 1370956 485.26
## - Wealth  1     62328 1372038 485.30
## - Po1     1     85447 1395157 486.03
## - M       1    103595 1413305 486.60
## - U2      1    122416 1432126 487.18
## - Prob    1    167763 1477473 488.55
## - Ed      1    421973 1731683 495.54
## - Ineq    1    467231 1776941 496.67
## 
## Step:  AIC=483.25
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        40 1309774 481.25
## - LF      1      7096 1316830 481.49
## - Po2     1     20572 1330306 481.94
## - Time    1     34994 1344728 482.41
## - NW      1     39719 1349453 482.56
## - M.F     1     45492 1355225 482.75
## <none>                1309734 483.25
## - U1      1     61853 1371587 483.28
## - Wealth  1     62777 1372510 483.31
## - Po1     1     87477 1397211 484.10
## - M       1    104939 1414672 484.64
## - U2      1    123461 1433195 485.21
## - Prob    1    167793 1477527 486.55
## - Ed      1    423397 1733131 493.58
## - Ineq    1    468018 1777752 494.69
## 
## Step:  AIC=481.25
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      8478 1318252 479.54
## - Po2     1     20540 1330314 479.94
## - Time    1     35326 1345099 480.42
## - NW      1     46591 1356365 480.79
## - M.F     1     46714 1356488 480.79
## <none>                1309774 481.25
## - Wealth  1     64823 1374597 481.38
## - U1      1     70298 1380072 481.55
## - Po1     1     87439 1397213 482.10
## - M       1    104978 1414751 482.64
## - U2      1    127389 1437163 483.34
## - Prob    1    171467 1481240 484.66
## - Ed      1    423786 1733559 491.59
## - Ineq    1    533484 1843258 494.29
## 
## Step:  AIC=479.54
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     14414 1332666 478.01
## - Time    1     36050 1354302 478.72
## - M.F     1     38327 1356579 478.80
## - NW      1     42611 1360863 478.94
## <none>                1318252 479.54
## - U1      1     61851 1380103 479.55
## - Wealth  1     65483 1383735 479.67
## - Po1     1     79006 1397258 480.10
## - M       1    118487 1436739 481.32
## - U2      1    129017 1447269 481.64
## - Prob    1    162989 1481241 482.66
## - Ed      1    428880 1747132 489.93
## - Ineq    1    533542 1851794 492.49
## 
## Step:  AIC=478.01
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     24931 1357598 476.83
## - NW      1     35635 1368301 477.18
## - M.F     1     52996 1385662 477.73
## - U1      1     58788 1391454 477.91
## <none>                1332666 478.01
## - Wealth  1     68793 1401459 478.23
## - M       1    114525 1447191 479.64
## - U2      1    126378 1459044 480.00
## - Prob    1    148575 1481241 480.66
## - Ed      1    422560 1755227 488.13
## - Ineq    1    591673 1924339 492.18
## - Po1     1    669354 2002020 493.92
## 
## Step:  AIC=476.83
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     23006 1380603 475.57
## - Wealth  1     56672 1414270 476.63
## - U1      1     58750 1416347 476.69
## <none>                1357598 476.83
## - M.F     1     82994 1440592 477.44
## - M       1    117598 1475195 478.48
## - U2      1    128122 1485720 478.80
## - Prob    1    129716 1487314 478.84
## - Ed      1    435449 1793046 487.07
## - Ineq    1    567094 1924691 490.19
## - Po1     1    734209 2091807 493.85
## 
## Step:  AIC=475.57
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     45694 1426298 475.00
## <none>                1380603 475.57
## - U1      1     67672 1448275 475.67
## - M.F     1     70037 1450640 475.75
## - Prob    1    114368 1494971 477.07
## - U2      1    149783 1530386 478.10
## - M       1    205495 1586098 479.67
## - Ed      1    415036 1795639 485.13
## - Ineq    1    613923 1994527 489.76
## - Po1     1   1096719 2477323 499.29
## 
## Step:  AIC=475
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1426298 475.00
## - M.F   1     98384 1524681 475.94
## - U1    1    104581 1530879 476.12
## - M     1    182303 1608601 478.29
## - Prob  1    182509 1608807 478.30
## - U2    1    206752 1633049 478.96
## - Ed    1    458551 1884849 485.27
## - Ineq  1    719063 2145361 490.96
## - Po1   1   1684165 3110463 507.31
## Start:  AIC=451.05
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      1218 1127441 449.10
## - Time    1      9639 1135863 449.40
## - LF      1     10304 1136528 449.43
## - Po2     1     31609 1157832 450.19
## - So      1     40097 1166320 450.49
## <none>                1126223 451.05
## - NW      1     60563 1186786 451.20
## - M.F     1     61384 1187607 451.23
## - U1      1     76802 1203026 451.76
## - Po1     1     88870 1215094 452.17
## - Prob    1    104343 1230566 452.69
## - Wealth  1    104540 1230764 452.69
## - Ed      1    129711 1255934 453.52
## - U2      1    168097 1294320 454.76
## - M       1    198547 1324770 455.71
## - Ineq    1    355590 1481814 460.30
## 
## Step:  AIC=449.1
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     11427 1138868 447.51
## - Time    1     11995 1139436 447.53
## - Po2     1     32336 1159777 448.26
## - So      1     41817 1169258 448.59
## <none>                1127441 449.10
## - NW      1     62207 1189648 449.30
## - M.F     1     79001 1206442 449.87
## - U1      1     80976 1208417 449.94
## - Po1     1     88077 1215518 450.18
## - Prob    1    103484 1230925 450.70
## - Wealth  1    104405 1231846 450.73
## - Ed      1    128494 1255935 451.52
## - U2      1    169284 1296725 452.83
## - M       1    203278 1330719 453.89
## - Ineq    1    373053 1500494 458.82
## 
## Step:  AIC=447.51
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     10686 1149554 445.89
## - Po2     1     24104 1162972 446.37
## - So      1     30653 1169521 446.60
## - NW      1     51456 1190323 447.32
## <none>                1138868 447.51
## - M.F     1     67652 1206519 447.88
## - U1      1     69607 1208475 447.94
## - Po1     1     77596 1216464 448.21
## - Prob    1     96836 1235704 448.86
## - Wealth  1     97213 1236081 448.87
## - Ed      1    118473 1257341 449.57
## - U2      1    173141 1312009 451.31
## - M       1    222880 1361748 452.84
## - Ineq    1    362345 1501213 456.84
## 
## Step:  AIC=445.89
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     15722 1165276 444.45
## - So      1     27650 1177204 444.87
## - NW      1     41960 1191515 445.36
## <none>                1149554 445.89
## - U1      1     64388 1213942 446.13
## - Po1     1     66922 1216476 446.21
## - Wealth  1     91686 1241240 447.04
## - Prob    1     92901 1242455 447.08
## - M.F     1    103304 1252858 447.42
## - Ed      1    115985 1265539 447.83
## - U2      1    165407 1314961 449.41
## - M       1    214073 1363628 450.90
## - Ineq    1    358554 1508108 455.02
## 
## Step:  AIC=444.45
## .outcome ~ So + M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     27601 1192877 443.41
## - NW      1     32317 1197593 443.57
## <none>                1165276 444.45
## - U1      1     66132 1231408 444.71
## - Wealth  1     84522 1249798 445.32
## - Prob    1     94328 1259604 445.64
## - Ed      1    103288 1268564 445.93
## - M.F     1    152278 1317554 447.49
## - U2      1    168763 1334039 448.00
## - M       1    215147 1380423 449.40
## - Ineq    1    374022 1539298 453.86
## - Po1     1    454071 1619347 455.94
## 
## Step:  AIC=443.41
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     16792 1209669 441.98
## <none>                1192877 443.41
## - U1      1     60659 1253536 443.44
## - Wealth  1     61391 1254268 443.47
## - Ed      1    144632 1337509 446.10
## - U2      1    154175 1347052 446.39
## - M.F     1    160723 1353600 446.59
## - Prob    1    185769 1378646 447.34
## - M       1    188815 1381692 447.44
## - Ineq    1    346432 1539309 451.86
## - Po1     1    537144 1730021 456.65
## 
## Step:  AIC=441.98
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1     56147 1265816 441.84
## - Wealth  1     56292 1265961 441.85
## <none>                1209669 441.98
## - Ed      1    134280 1343949 444.30
## - M.F     1    146220 1355889 444.66
## - U2      1    152436 1362105 444.85
## - Prob    1    169027 1378696 445.35
## - M       1    296240 1505909 448.96
## - Ineq    1    402548 1612217 451.76
## - Po1     1    762667 1972336 460.03
## 
## Step:  AIC=441.84
## .outcome ~ M + Ed + Po1 + M.F + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1265816 441.84
## - Wealth  1     92360 1358176 442.73
## - Ed      1     95686 1361502 442.83
## - M.F     1    103019 1368835 443.05
## - U2      1    127806 1393622 443.79
## - Prob    1    165813 1431629 444.89
## - M       1    343528 1609344 449.69
## - Ineq    1    453912 1719728 452.41
## - Po1     1    898427 2164243 461.83
## Start:  AIC=461.57
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1         0  937612 459.57
## - LF      1      4362  941975 459.76
## - Wealth  1      5518  943130 459.82
## - So      1      7719  945331 459.92
## - NW      1     11998  949611 460.11
## - U1      1     20560  958172 460.50
## - Pop     1     31572  969184 460.99
## <none>                 937612 461.57
## - Time    1     83866 1021478 463.25
## - Po2     1    111170 1048782 464.38
## - U2      1    156372 1093985 466.20
## - Po1     1    256266 1193879 469.96
## - Prob    1    275352 1212965 470.64
## - M       1    303641 1241253 471.63
## - Ineq    1    360085 1297697 473.54
## - Ed      1    561815 1499428 479.75
## 
## Step:  AIC=459.57
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      5534  943147 457.82
## - LF      1      5709  943321 457.83
## - So      1      7949  945561 457.93
## - NW      1     12205  949818 458.12
## - U1      1     29356  966968 458.89
## - Pop     1     37551  975163 459.25
## <none>                 937612 459.57
## - Time    1     91315 1028928 461.56
## - Po2     1    114042 1051654 462.50
## - U2      1    161162 1098775 464.39
## - Po1     1    269988 1207601 468.45
## - Prob    1    279887 1217499 468.80
## - M       1    338201 1275814 470.81
## - Ineq    1    374024 1311636 472.00
## - Ed      1    571858 1509471 478.04
## 
## Step:  AIC=457.82
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + Pop + NW + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      3984  947130 456.00
## - NW    1      9342  952489 456.24
## - So    1     12820  955966 456.40
## - U1    1     30111  973258 457.17
## - Pop   1     35859  979006 457.42
## <none>               943147 457.82
## - Time  1     90917 1034064 459.78
## - Po2   1    116252 1059399 460.82
## - U2    1    171452 1114598 463.00
## - Po1   1    284781 1227928 467.16
## - Prob  1    295292 1238439 467.53
## - M     1    332929 1276076 468.82
## - Ineq  1    501141 1444288 474.14
## - Ed    1    607362 1550509 477.19
## 
## Step:  AIC=456
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      6759  953889 454.31
## - So    1     23732  970863 455.06
## - U1    1     26747  973877 455.20
## - Pop   1     34440  981571 455.54
## <none>               947130 456.00
## - Time  1     86973 1034103 457.78
## - Po2   1    116101 1063231 458.97
## - U2    1    173475 1120606 461.23
## - Prob  1    294015 1241145 465.62
## - Po1   1    296879 1244009 465.72
## - M     1    335284 1282415 467.03
## - Ineq  1    508220 1455351 472.47
## - Ed    1    705326 1652456 477.93
## 
## Step:  AIC=454.31
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     25593  979482 453.44
## - Pop   1     33003  986893 453.77
## - So    1     34568  988457 453.84
## <none>               953889 454.31
## - Time  1     80392 1034281 455.78
## - Po2   1    109351 1063241 456.97
## - U2    1    171353 1125243 459.41
## - Po1   1    290255 1244145 463.73
## - Prob  1    305833 1259723 464.26
## - M     1    412467 1366356 467.76
## - Ineq  1    581489 1535379 472.77
## - Ed    1    699064 1652953 475.95
## 
## Step:  AIC=453.44
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     33361 1012843 452.88
## <none>               979482 453.44
## - So    1     62829 1042311 454.12
## - Time  1     65046 1044528 454.21
## - Po2   1    100924 1080406 455.66
## - U2    1    251856 1231338 461.28
## - Po1   1    285315 1264797 462.44
## - Prob  1    306613 1286095 463.15
## - M     1    393267 1372749 465.96
## - Ineq  1    573273 1552755 471.26
## - Ed    1    673541 1653023 473.95
## 
## Step:  AIC=452.88
## .outcome ~ So + M + Ed + Po1 + Po2 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1012843 452.88
## - So    1     64345 1077188 453.53
## - Po2   1    122125 1134968 455.78
## - Time  1    126336 1139180 455.94
## - U2    1    241089 1253932 460.07
## - Po1   1    301072 1313915 462.07
## - Prob  1    312487 1325330 462.45
## - M     1    483841 1496685 467.68
## - Ineq  1    541172 1554015 469.29
## - Ed    1    706722 1719565 473.64
## Start:  AIC=472.95
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1        73  990363 470.95
## - NW      1       197  990488 470.96
## - LF      1       597  990887 470.98
## - Wealth  1       633  990923 470.98
## - M.F     1      4070  994360 471.13
## - Po2     1      5284  995574 471.18
## - So      1      7421  997711 471.28
## - Pop     1     31950 1022241 472.35
## <none>                 990290 472.95
## - Po1     1     74124 1064414 474.12
## - U1      1    104731 1095021 475.37
## - Prob    1    162589 1152879 477.64
## - M       1    215921 1206211 479.63
## - Ineq    1    244234 1234524 480.65
## - U2      1    262542 1252833 481.30
## - Ed      1    559858 1550149 490.67
## 
## Step:  AIC=470.95
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       143  990507 468.96
## - LF      1       556  990919 468.98
## - Wealth  1       586  990949 468.98
## - M.F     1      4467  994830 469.15
## - Po2     1      5284  995647 469.19
## - So      1      8045  998408 469.31
## - Pop     1     33885 1024248 470.43
## <none>                 990363 470.95
## - Po1     1     76103 1066466 472.21
## - U1      1    106332 1096695 473.44
## - M       1    225527 1215891 477.98
## - Ineq    1    244168 1234531 478.65
## - Prob    1    255901 1246264 479.06
## - U2      1    265704 1256067 479.41
## - Ed      1    568010 1558374 488.90
## 
## Step:  AIC=468.96
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       430  990936 466.98
## - Wealth  1       497  991003 466.98
## - M.F     1      4394  994901 467.15
## - Po2     1      5175  995682 467.19
## - So      1     10149 1000655 467.41
## - Pop     1     33936 1024443 468.44
## <none>                 990507 468.96
## - Po1     1     76749 1067256 470.24
## - U1      1    107209 1097716 471.48
## - Ineq    1    246787 1237294 476.75
## - Prob    1    260838 1251345 477.24
## - M       1    262165 1252672 477.29
## - U2      1    266706 1257212 477.45
## - Ed      1    577388 1567895 487.17
## 
## Step:  AIC=466.98
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1       435  991372 465.00
## - M.F     1      4101  995038 465.16
## - Po2     1      4805  995741 465.19
## - So      1     13351 1004287 465.57
## - Pop     1     35843 1026780 466.54
## <none>                 990936 466.98
## - Po1     1     76747 1067683 468.26
## - U1      1    120504 1111440 470.03
## - Ineq    1    252384 1243321 474.96
## - Prob    1    260825 1251761 475.26
## - M       1    263191 1254127 475.34
## - U2      1    266279 1257216 475.45
## - Ed      1    610946 1601883 486.11
## 
## Step:  AIC=465
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1      4800  996171 463.21
## - Po2   1      4815  996186 463.21
## - So    1     14992 1006364 463.66
## - Pop   1     35436 1026807 464.54
## <none>               991372 465.00
## - Po1   1     77992 1069364 466.33
## - U1    1    127228 1118600 468.31
## - M     1    266927 1258299 473.49
## - U2    1    282876 1274248 474.04
## - Prob  1    284019 1275390 474.08
## - Ineq  1    407398 1398770 478.14
## - Ed    1    661413 1652785 485.49
## 
## Step:  AIC=463.21
## .outcome ~ So + M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1      5433 1001604 461.45
## - So    1     12421 1008593 461.75
## <none>               996171 463.21
## - Pop   1     67111 1063282 464.08
## - Po1   1     84601 1080772 464.80
## - U1    1    124953 1121124 466.41
## - U2    1    278123 1274295 472.04
## - M     1    286167 1282338 472.32
## - Prob  1    290842 1287013 472.48
## - Ineq  1    506374 1502545 479.29
## - Ed    1    849748 1845919 488.35
## 
## Step:  AIC=461.45
## .outcome ~ So + M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1      9583 1011187 459.87
## <none>              1001604 461.45
## - Pop   1     69447 1071051 462.40
## - U1    1    129410 1131014 464.80
## - Prob  1    290781 1292385 470.66
## - U2    1    290858 1292462 470.67
## - M     1    296420 1298024 470.86
## - Ineq  1    543948 1545552 478.53
## - Ed    1    845275 1846879 486.37
## - Po1   1   1479127 2480731 499.35
## 
## Step:  AIC=459.87
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1011187 459.87
## - Pop   1     73616 1084803 460.96
## - U1    1    178542 1189729 465.02
## - Prob  1    290595 1301782 468.98
## - M     1    316689 1327876 469.86
## - U2    1    348043 1359230 470.88
## - Ineq  1    766205 1777392 482.68
## - Ed    1    840727 1851914 484.49
## - Po1   1   1556129 2567316 498.86
## Start:  AIC=466.22
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      1946 1299922 464.29
## - Pop     1      3019 1300995 464.32
## - NW      1      5567 1303543 464.40
## - Time    1     11570 1309546 464.60
## - LF      1     14849 1312825 464.70
## - Po2     1     20225 1318201 464.87
## - Wealth  1     39098 1337073 465.47
## - M.F     1     57055 1355030 466.03
## <none>                1297975 466.22
## - Po1     1     84983 1382958 466.89
## - U1      1    125935 1423910 468.11
## - Prob    1    160315 1458290 469.11
## - M       1    180631 1478606 469.70
## - U2      1    211190 1509166 470.55
## - Ed      1    361499 1659475 474.54
## - Ineq    1    409994 1707970 475.75
## 
## Step:  AIC=464.29
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      2781 1302703 462.38
## - NW      1      3771 1303693 462.41
## - Time    1     10563 1310485 462.63
## - LF      1     13195 1313117 462.71
## - Po2     1     20481 1320403 462.94
## - Wealth  1     37151 1337073 463.47
## - M.F     1     55112 1355034 464.03
## <none>                1299922 464.29
## - Po1     1     87449 1387371 465.02
## - U1      1    134868 1434790 466.43
## - Prob    1    173037 1472959 467.53
## - M       1    178974 1478896 467.70
## - U2      1    216932 1516853 468.77
## - Ed      1    359564 1659486 472.54
## - Ineq    1    435755 1735677 474.43
## 
## Step:  AIC=462.38
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      3648 1306352 460.49
## - Time    1     15438 1318142 460.87
## - LF      1     17382 1320085 460.93
## - Po2     1     20992 1323695 461.05
## - Wealth  1     35400 1338104 461.50
## <none>                1302703 462.38
## - Po1     1     85426 1388129 463.04
## - M.F     1     87483 1390186 463.11
## - U1      1    170985 1473688 465.56
## - Prob    1    173879 1476582 465.64
## - M       1    186380 1489084 465.99
## - U2      1    239653 1542356 467.47
## - Ed      1    363534 1666237 470.71
## - Ineq    1    446267 1748970 472.75
## 
## Step:  AIC=460.49
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     13029 1319381 458.91
## - LF      1     15347 1321699 458.98
## - Po2     1     17693 1324045 459.06
## - Wealth  1     33628 1339980 459.56
## <none>                1306352 460.49
## - Po1     1     81778 1388129 461.04
## - M.F     1     85487 1391839 461.16
## - U1      1    179302 1485654 463.90
## - Prob    1    186980 1493332 464.11
## - M       1    249310 1555661 465.83
## - U2      1    264716 1571068 466.24
## - Ed      1    361843 1668195 468.76
## - Ineq    1    541762 1848114 473.06
## 
## Step:  AIC=458.91
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     10761 1330141 457.25
## - LF      1     16151 1335531 457.42
## - Wealth  1     30616 1349997 457.87
## <none>                1319381 458.91
## - Po1     1     69766 1389146 459.07
## - M.F     1    126321 1445701 460.75
## - U1      1    173599 1492979 462.10
## - Prob    1    199292 1518673 462.82
## - M       1    238141 1557521 463.88
## - U2      1    255555 1574935 464.35
## - Ed      1    366876 1686257 467.21
## - Ineq    1    531079 1850459 471.12
## 
## Step:  AIC=457.25
## .outcome ~ M + Ed + Po1 + LF + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     10766 1340907 455.59
## - Wealth  1     29893 1360035 456.18
## <none>                1330141 457.25
## - M.F     1    134868 1465009 459.31
## - U1      1    180116 1510258 460.59
## - Prob    1    194493 1524634 460.98
## - M       1    239753 1569895 462.21
## - U2      1    280101 1610242 463.28
## - Ed      1    356576 1686717 465.23
## - Ineq    1    528922 1859064 469.31
## - Po1     1    653424 1983565 472.03
## 
## Step:  AIC=455.59
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     29194 1370101 454.49
## <none>                1340907 455.59
## - M.F     1    132826 1473733 457.56
## - U1      1    170474 1511382 458.62
## - Prob    1    184222 1525129 459.00
## - M       1    263384 1604291 461.12
## - U2      1    275188 1616096 461.43
## - Ed      1    350309 1691216 463.34
## - Ineq    1    518433 1859341 467.32
## - Po1     1    697528 2038435 471.18
## 
## Step:  AIC=454.49
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1370101 454.49
## - M.F   1    157334 1527435 457.06
## - U1    1    203790 1573891 458.32
## - Prob  1    224377 1594478 458.86
## - M     1    240769 1610870 459.29
## - U2    1    324822 1694923 461.43
## - Ed    1    398902 1769003 463.23
## - Ineq  1    624451 1994552 468.27
## - Po1   1   1020123 2390224 475.87
## Start:  AIC=445.08
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       776  974402 443.12
## - Pop     1     11916  985541 443.58
## <none>                 973625 445.08
## - NW      1     68105 1041730 445.86
## - LF      1     68795 1042421 445.88
## - Time    1     72750 1046376 446.04
## - M       1     74036 1047661 446.09
## - U2      1    107218 1080843 447.37
## - M.F     1    111833 1085458 447.54
## - Po2     1    123272 1096897 447.97
## - Wealth  1    126751 1100376 448.10
## - Ed      1    145779 1119404 448.80
## - U1      1    172806 1146431 449.78
## - Po1     1    234718 1208344 451.94
## - Prob    1    258096 1231721 452.72
## - Ineq    1    381744 1355369 456.65
## 
## Step:  AIC=443.12
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     12260  986661 441.63
## <none>                 974402 443.12
## - NW      1     68055 1042456 443.88
## - LF      1     71201 1045603 444.01
## - Time    1     72464 1046865 444.06
## - M       1     73801 1048203 444.11
## - U2      1    107750 1082152 445.42
## - M.F     1    111125 1085527 445.54
## - Po2     1    123428 1097829 446.01
## - Wealth  1    125975 1100376 446.10
## - Ed      1    145558 1119959 446.82
## - U1      1    181642 1156044 448.12
## - Po1     1    234932 1209334 449.97
## - Prob    1    283100 1257501 451.57
## - Ineq    1    434396 1408797 456.23
## 
## Step:  AIC=441.63
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## <none>                 986661 441.63
## - NW      1     63701 1050363 442.19
## - LF      1     78828 1065489 442.78
## - Time    1     80351 1067012 442.84
## - M       1     89608 1076269 443.19
## - U2      1    107365 1094026 443.86
## - Po2     1    116799 1103460 444.22
## - Wealth  1    119092 1105754 444.30
## - M.F     1    135426 1122087 444.90
## - Ed      1    152560 1139221 445.52
## - U1      1    191453 1178115 446.90
## - Po1     1    222917 1209578 447.98
## - Prob    1    277862 1264524 449.80
## - Ineq    1    422768 1409430 454.25
## Start:  AIC=473.07
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2474 1227621 471.15
## - Pop     1      6968 1232115 471.31
## - LF      1     12890 1238036 471.52
## - Time    1     21925 1247072 471.83
## - NW      1     22250 1247396 471.84
## - M.F     1     23757 1248903 471.89
## - Wealth  1     45393 1270540 472.63
## - Po2     1     45560 1270707 472.64
## <none>                1225146 473.07
## - U1      1     76767 1301913 473.68
## - Po1     1    143903 1369050 475.84
## - Prob    1    167617 1392764 476.58
## - U2      1    169587 1394733 476.64
## - M       1    234833 1459980 478.61
## - Ed      1    389512 1614658 482.94
## - Ineq    1    427731 1652877 483.94
## 
## Step:  AIC=471.15
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1      6924 1234545 469.40
## - LF      1     10681 1238302 469.53
## - Time    1     19595 1247216 469.83
## - NW      1     20584 1248205 469.87
## - M.F     1     21913 1249534 469.91
## - Wealth  1     43187 1270808 470.64
## - Po2     1     43354 1270975 470.65
## <none>                1227621 471.15
## - U1      1     83566 1311187 471.99
## - Po1     1    141643 1369264 473.85
## - Prob    1    165883 1393504 474.60
## - U2      1    178131 1405752 474.98
## - M       1    232985 1460605 476.63
## - Ed      1    396571 1624192 481.19
## - Ineq    1    495157 1722778 483.72
## 
## Step:  AIC=469.4
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     13687 1248232 467.87
## - NW      1     21694 1256239 468.14
## - Time    1     27574 1262119 468.35
## - M.F     1     38365 1272911 468.71
## - Wealth  1     39140 1273685 468.74
## - Po2     1     44212 1278757 468.91
## <none>                1234545 469.40
## - U1      1     95737 1330282 470.61
## - Po1     1    137638 1372183 471.94
## - Prob    1    172247 1406792 473.01
## - U2      1    180875 1415420 473.27
## - M       1    238258 1472803 474.98
## - Ed      1    399890 1634435 479.46
## - Ineq    1    504864 1739409 482.14
## 
## Step:  AIC=467.87
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     16599 1264830 466.44
## - M.F     1     25568 1273799 466.74
## - Time    1     27849 1276081 466.82
## - Po2     1     33948 1282180 467.02
## - Wealth  1     37511 1285743 467.14
## <none>                1248232 467.87
## - U1      1     82457 1330688 468.62
## - Po1     1    124565 1372797 469.96
## - Prob    1    160797 1409029 471.08
## - U2      1    183774 1432006 471.78
## - M       1    277661 1525893 474.51
## - Ed      1    397440 1645672 477.76
## - Ineq    1    495318 1743550 480.24
## 
## Step:  AIC=466.44
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     18375 1283206 465.06
## - M.F     1     23007 1287838 465.21
## - Po2     1     24477 1289307 465.26
## - Wealth  1     34911 1299742 465.61
## <none>                1264830 466.44
## - U1      1     82800 1347630 467.16
## - Po1     1    113257 1378087 468.13
## - Prob    1    144323 1409153 469.08
## - U2      1    189263 1454094 470.43
## - M       1    363944 1628775 475.31
## - Ed      1    383377 1648208 475.82
## - Ineq    1    604423 1869253 481.23
## 
## Step:  AIC=465.06
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     13935 1297141 463.52
## - Wealth  1     33867 1317073 464.18
## - M.F     1     49756 1332962 464.69
## <none>                1283206 465.06
## - U1      1     76470 1359675 465.55
## - Po1     1     95861 1379067 466.16
## - Prob    1    134610 1417816 467.35
## - U2      1    176664 1459870 468.60
## - M       1    346438 1629644 473.33
## - Ed      1    380619 1663825 474.23
## - Ineq    1    590310 1873516 479.33
## 
## Step:  AIC=463.52
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     32647 1329787 462.59
## - M.F     1     61001 1358142 463.50
## <none>                1297141 463.52
## - U1      1     78045 1375185 464.03
## - Prob    1    140143 1437283 465.93
## - U2      1    180066 1477207 467.11
## - M       1    339806 1636946 471.53
## - Ed      1    369786 1666927 472.31
## - Ineq    1    609651 1906791 478.09
## - Po1     1    953624 2250764 485.22
## 
## Step:  AIC=462.59
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1329787 462.59
## - M.F   1     81386 1411173 463.15
## - U1    1    108195 1437982 463.95
## - U2    1    234477 1564264 467.57
## - Prob  1    243622 1573409 467.82
## - M     1    307995 1637782 469.55
## - Ed    1    463415 1793202 473.45
## - Ineq  1    714565 2044352 479.08
## - Po1   1   1259347 2589134 489.24
## Start:  AIC=449.39
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1        37  706505 447.40
## - NW      1       700  707168 447.44
## - LF      1      2387  708855 447.54
## - So      1      8113  714581 447.88
## - M.F     1     19854  726322 448.59
## - U1      1     22768  729236 448.76
## - Po2     1     32660  739129 449.34
## <none>                 706468 449.39
## - Pop     1     74654  781122 451.71
## - Time    1    126514  832982 454.48
## - U2      1    133812  840280 454.85
## - Po1     1    150210  856678 455.68
## - Ineq    1    303628 1010096 462.77
## - M       1    366561 1073029 465.37
## - Prob    1    367989 1074457 465.42
## - Ed      1    524665 1231133 471.28
## 
## Step:  AIC=447.4
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1       664  707168 445.44
## - LF    1      2352  708857 445.54
## - So    1      8964  715469 445.94
## - M.F   1     19822  726326 446.59
## - U1    1     22971  729475 446.77
## - Po2   1     32624  739129 447.34
## <none>               706505 447.40
## - Pop   1     74870  781374 449.73
## - Time  1    126753  833258 452.49
## - U2    1    139612  846117 453.15
## - Po1   1    150980  857485 453.72
## - M     1    366854 1073358 463.38
## - Prob  1    373501 1080006 463.64
## - Ineq  1    442094 1148598 466.29
## - Ed    1    559782 1266287 470.49
## 
## Step:  AIC=445.44
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + U1 + U2 + 
##     Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1      1794  708962 443.55
## - So    1     13016  720185 444.22
## - U1    1     22454  729623 444.78
## - M.F   1     23470  730639 444.84
## - Po2   1     32242  739410 445.35
## <none>               707168 445.44
## - Pop   1     76690  783858 447.86
## - Time  1    129036  836204 450.64
## - U2    1    139022  846191 451.15
## - Po1   1    151101  858269 451.76
## - Prob  1    402977 1110146 462.83
## - M     1    440005 1147174 464.24
## - Ineq  1    496146 1203314 466.29
## - Ed    1    562920 1270089 468.62
## 
## Step:  AIC=443.55
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     19767  728729 442.73
## - U1    1     20952  729914 442.80
## - Po2   1     30574  739536 443.36
## <none>               708962 443.55
## - M.F   1     36582  745544 443.71
## - Pop   1     82441  791403 446.28
## - Time  1    130373  839335 448.80
## - U2    1    137395  846357 449.16
## - Po1   1    149438  858400 449.77
## - Prob  1    403601 1112563 460.92
## - M     1    446772 1155734 462.56
## - Ineq  1    507351 1216313 464.76
## - Ed    1    592727 1301689 467.67
## 
## Step:  AIC=442.73
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     22555  751284 442.04
## <none>               728729 442.73
## - U1    1     35305  764034 442.76
## - M.F   1     39951  768680 443.02
## - Pop   1     86432  815162 445.55
## - Time  1    128235  856964 447.70
## - Po1   1    135670  864399 448.07
## - U2    1    181828  910557 450.31
## - Prob  1    387512 1116241 459.06
## - M     1    522972 1251701 463.99
## - Ed    1    576604 1305333 465.79
## - Ineq  1    689224 1417953 469.35
## 
## Step:  AIC=442.04
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     27494  778778 441.58
## <none>               751284 442.04
## - U1    1     46587  797871 442.63
## - Pop   1     85113  836397 444.65
## - Time  1    107287  858571 445.78
## - U2    1    202645  953929 450.31
## - Prob  1    370603 1121887 457.28
## - M     1    501033 1252317 462.01
## - Ed    1    554563 1305847 463.81
## - Ineq  1    685844 1437129 467.93
## - Po1   1   1348467 2099751 484.23
## 
## Step:  AIC=441.58
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## <none>               778778 441.58
## - Pop   1     58715  837493 442.71
## - Time  1     82555  861333 443.92
## - U1    1    115969  894747 445.55
## - U2    1    269436 1048214 452.36
## - Prob  1    343333 1122111 455.29
## - M     1    477470 1256248 460.14
## - Ed    1    547729 1326507 462.48
## - Ineq  1    669463 1448241 466.26
## - Po1   1   1466574 2245352 485.12
## Start:  AIC=445.09
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1        96  973827 443.09
## - NW      1       837  974569 443.12
## - LF      1      4205  977936 443.26
## - So      1      4767  978499 443.29
## - Time    1     12093  985824 443.59
## - U1      1     13667  987398 443.66
## - M.F     1     15442  989174 443.73
## - U2      1     35714 1009445 444.56
## <none>                 973731 445.09
## - Po2     1     50039 1023770 445.14
## - Wealth  1     77025 1050757 446.21
## - Ed      1     83701 1057433 446.47
## - Prob    1     96658 1070390 446.97
## - M       1    141511 1115242 448.65
## - Po1     1    172315 1146047 449.77
## - Ineq    1    426942 1400673 457.99
## 
## Step:  AIC=443.09
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1       776  974603 441.12
## - LF      1      4116  977943 441.27
## - So      1      4684  978511 441.29
## - Time    1     12434  986262 441.61
## - U1      1     13678  987506 441.66
## - M.F     1     16935  990762 441.80
## - U2      1     35995 1009822 442.58
## <none>                 973827 443.09
## - Po2     1     50070 1023897 443.15
## - Wealth  1     79435 1053262 444.31
## - Ed      1     84532 1058359 444.50
## - Prob    1     96676 1070503 444.97
## - M       1    141551 1115378 446.66
## - Po1     1    172226 1146053 447.77
## - Ineq    1    486193 1460021 457.70
## 
## Step:  AIC=441.12
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      3461  978064 439.27
## - So      1      3926  978530 439.29
## - Time    1     11913  986516 439.62
## - U1      1     12953  987557 439.67
## - M.F     1     16159  990763 439.80
## - U2      1     35354 1009957 440.59
## <none>                 974603 441.12
## - Po2     1     51112 1025716 441.22
## - Wealth  1     78694 1053297 442.31
## - Ed      1     83908 1058512 442.51
## - Prob    1    102395 1076999 443.22
## - M       1    155914 1130518 445.21
## - Po1     1    174997 1149601 445.90
## - Ineq    1    507396 1481999 456.31
## 
## Step:  AIC=439.27
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      2107  980171 437.36
## - U1      1      9961  988025 437.69
## - M.F     1     12701  990765 437.80
## - Time    1     13566  991629 437.83
## - U2      1     35021 1013085 438.71
## <none>                 978064 439.27
## - Po2     1     49281 1027345 439.29
## - Wealth  1     78689 1056753 440.44
## - Ed      1     81748 1059812 440.56
## - Prob    1    102182 1080246 441.34
## - M       1    163435 1141499 443.61
## - Po1     1    172260 1150324 443.92
## - Ineq    1    524079 1502143 454.86
## 
## Step:  AIC=437.36
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - U1      1      8904  989076 435.73
## - Time    1     13211  993382 435.91
## - M.F     1     14155  994327 435.95
## - U2      1     33390 1013562 436.73
## <none>                 980171 437.36
## - Po2     1     52150 1032322 437.48
## - Wealth  1     77815 1057987 438.49
## - Ed      1     95189 1075361 439.16
## - Prob    1    137586 1117757 440.74
## - M       1    173005 1153177 442.02
## - Po1     1    179451 1159622 442.25
## - Ineq    1    608739 1588910 455.16
## 
## Step:  AIC=435.73
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U2 + Wealth + Ineq + Prob + 
##     Time
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1      7594  996669 434.04
## - Time    1     10529  999605 434.16
## - U2      1     32513 1021589 435.06
## <none>                 989076 435.73
## - Po2     1     51628 1040704 435.82
## - Ed      1     87343 1076419 437.20
## - Wealth  1     98905 1087980 437.64
## - Prob    1    131020 1120096 438.83
## - M       1    179921 1168997 440.58
## - Po1     1    182610 1171685 440.68
## - Ineq    1    711672 1700748 455.95
## 
## Step:  AIC=434.04
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     23080 1019750 432.98
## - U2      1     44554 1041223 433.84
## <none>                 996669 434.04
## - Po2     1     69807 1066476 434.82
## - Wealth  1    104368 1101038 436.13
## - Ed      1    134550 1131219 437.23
## - Prob    1    151004 1147674 437.83
## - M       1    218985 1215654 440.19
## - Po1     1    219306 1215975 440.20
## - Ineq    1    761470 1758140 455.31
## 
## Step:  AIC=432.98
## .outcome ~ M + Ed + Po1 + Po2 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1019750 432.98
## - Po2     1     54071 1073821 433.10
## - U2      1     59784 1079534 433.32
## - Wealth  1     99089 1118838 434.78
## - Prob    1    135442 1155192 436.09
## - Po1     1    196779 1216529 438.22
## - M       1    208842 1228591 438.62
## - Ed      1    219408 1239157 438.97
## - Ineq    1    761665 1781414 453.85
## Start:  AIC=472.29
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       400 1203623 470.30
## - Wealth  1     15072 1218296 470.83
## - Pop     1     21176 1224400 471.04
## - So      1     21709 1224932 471.06
## - Po2     1     34649 1237873 471.51
## - LF      1     46779 1250002 471.93
## <none>                1203223 472.29
## - M.F     1     59973 1263196 472.38
## - NW      1     73142 1276366 472.83
## - Prob    1    102218 1305441 473.80
## - U1      1    112311 1315534 474.13
## - M       1    120007 1323231 474.38
## - Po1     1    132309 1335532 474.78
## - U2      1    190770 1393994 476.62
## - Ineq    1    464624 1667848 484.33
## - Ed      1    508164 1711387 485.44
## 
## Step:  AIC=470.3
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     16428 1220051 468.89
## - Pop     1     21153 1224776 469.05
## - So      1     21631 1225254 469.07
## - Po2     1     41653 1245276 469.77
## - LF      1     46529 1250151 469.94
## <none>                1203623 470.30
## - M.F     1     60837 1264460 470.43
## - NW      1     74222 1277845 470.88
## - U1      1    114168 1317790 472.20
## - M       1    130370 1333993 472.73
## - Po1     1    148035 1351658 473.29
## - Prob    1    173773 1377396 474.10
## - U2      1    194331 1397953 474.74
## - Ineq    1    464240 1667863 482.33
## - Ed      1    511694 1715317 483.54
## 
## Step:  AIC=468.89
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - So    1     16154 1236205 467.45
## - Pop   1     17976 1238027 467.52
## - Po2   1     42300 1262351 468.35
## - LF    1     42698 1262749 468.37
## <none>              1220051 468.89
## - M.F   1     67604 1287655 469.21
## - NW    1     69608 1289658 469.27
## - U1    1    117380 1337431 470.84
## - M     1    118759 1338810 470.88
## - Po1   1    161217 1381268 472.22
## - Prob  1    203789 1423840 473.53
## - U2    1    209875 1429926 473.71
## - Ed    1    557945 1777996 483.08
## - Ineq  1    559092 1779143 483.11
## 
## Step:  AIC=467.45
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     18474 1254679 466.09
## - LF    1     26918 1263123 466.38
## - Po2   1     39334 1275540 466.80
## - NW    1     53551 1289756 467.28
## - M.F   1     55523 1291728 467.34
## <none>              1236205 467.45
## - U1    1    102326 1338531 468.87
## - M     1    121805 1358010 469.49
## - Po1   1    160006 1396211 470.69
## - U2    1    193829 1430034 471.72
## - Prob  1    252331 1488536 473.44
## - Ed    1    544402 1780607 481.14
## - Ineq  1    562647 1798852 481.58
## 
## Step:  AIC=466.09
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     34935 1289613 465.27
## - Po2   1     36518 1291197 465.32
## - NW    1     51610 1306289 465.82
## <none>              1254679 466.09
## - M.F   1    111538 1366217 467.75
## - U1    1    124432 1379111 468.16
## - M     1    128362 1383041 468.28
## - Po1   1    146626 1401305 468.84
## - U2    1    198521 1453200 470.41
## - Prob  1    235176 1489855 471.48
## - Ineq  1    546760 1801439 479.64
## - Ed    1    547764 1802443 479.67
## 
## Step:  AIC=465.27
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     19339 1308952 463.91
## - NW    1     36095 1325709 464.46
## <none>              1289613 465.27
## - M.F   1     77154 1366767 465.77
## - U1    1    100227 1389840 466.49
## - Po1   1    118697 1408310 467.06
## - M     1    178075 1467688 468.83
## - Prob  1    204629 1494242 469.60
## - U2    1    214972 1504585 469.90
## - Ed    1    521263 1810876 477.87
## - Ineq  1    533080 1822693 478.15
## 
## Step:  AIC=463.91
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1     27498 1336450 462.81
## <none>              1308952 463.91
## - M.F   1     89555 1398507 464.76
## - U1    1    105712 1414664 465.25
## - M     1    185843 1494796 467.62
## - Prob  1    201621 1510573 468.07
## - U2    1    225592 1534544 468.75
## - Ed    1    504508 1813460 475.93
## - Ineq  1    593564 1902516 477.99
## - Po1   1   1035160 2344112 486.97
## 
## Step:  AIC=462.81
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1336450 462.81
## - M.F   1     74373 1410824 463.13
## - U1    1    115752 1452202 464.38
## - Prob  1    175437 1511888 466.11
## - U2    1    245588 1582038 468.06
## - M     1    311702 1648152 469.82
## - Ed    1    479255 1815705 473.98
## - Ineq  1    807283 2143733 481.12
## - Po1   1   1477997 2814448 492.83
## Start:  AIC=466.76
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       957 1315652 464.79
## - So      1      6627 1321322 464.97
## - Wealth  1     14371 1329066 465.22
## - Po2     1     20666 1335361 465.42
## - LF      1     21275 1335970 465.43
## - M.F     1     24767 1339462 465.54
## - Time    1     26984 1341679 465.61
## - NW      1     28225 1342920 465.65
## <none>                1314695 466.76
## - Po1     1     72898 1387593 467.03
## - U1      1     75736 1390431 467.11
## - U2      1    147227 1461922 469.22
## - Prob    1    188757 1503452 470.40
## - M       1    193308 1508004 470.52
## - Ed      1    318487 1633182 473.87
## - Ineq    1    350950 1665645 474.70
## 
## Step:  AIC=464.79
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      7139 1322791 463.02
## - Wealth  1     13466 1329118 463.22
## - Po2     1     19786 1335438 463.42
## - LF      1     23951 1339603 463.55
## - NW      1     28892 1344544 463.70
## - M.F     1     28975 1344627 463.71
## - Time    1     34547 1350199 463.88
## <none>                1315652 464.79
## - Po1     1     74397 1390049 465.10
## - U1      1     78479 1394131 465.22
## - U2      1    146815 1462467 467.23
## - M       1    195771 1511423 468.62
## - Prob    1    215320 1530972 469.16
## - Ed      1    318761 1634413 471.90
## - Ineq    1    364131 1679783 473.05
## 
## Step:  AIC=463.02
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     10617 1333408 461.35
## - LF      1     16833 1339624 461.55
## - Po2     1     18683 1341475 461.61
## - NW      1     21816 1344607 461.71
## - M.F     1     25676 1348467 461.83
## - Time    1     29480 1352271 461.94
## <none>                1322791 463.02
## - U1      1     71497 1394288 463.23
## - Po1     1     75029 1397820 463.34
## - U2      1    139871 1462662 465.24
## - M       1    189291 1512082 466.64
## - Prob    1    208238 1531029 467.16
## - Ed      1    311737 1634528 469.91
## - Ineq    1    404141 1726932 472.22
## 
## Step:  AIC=461.35
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Ineq + 
##     Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - LF    1     15622 1349030 459.84
## - Po2   1     16720 1350128 459.88
## - NW    1     19550 1352958 459.97
## - Time  1     28385 1361793 460.24
## - M.F   1     31770 1365178 460.34
## <none>              1333408 461.35
## - Po1   1     74418 1407826 461.64
## - U1    1     84600 1418007 461.94
## - U2    1    168115 1501522 464.34
## - M     1    178827 1512235 464.64
## - Prob  1    260073 1593481 466.84
## - Ed    1    329560 1662968 468.63
## - Ineq  1    500976 1834384 472.75
## 
## Step:  AIC=459.84
## .outcome ~ M + Ed + Po1 + Po2 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     10242 1359271 458.16
## - NW    1     15020 1364049 458.31
## - M.F   1     19471 1368500 458.45
## - Time  1     29430 1378460 458.75
## - Po1   1     63493 1412523 459.78
## <none>              1349030 459.84
## - U1    1     71667 1420697 460.02
## - U2    1    176297 1525327 463.00
## - M     1    216088 1565118 464.08
## - Prob  1    245558 1594588 464.87
## - Ed    1    315258 1664288 466.66
## - Ineq  1    491393 1840422 470.89
## 
## Step:  AIC=458.16
## .outcome ~ M + Ed + Po1 + M.F + NW + U1 + U2 + Ineq + Prob + 
##     Time
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      9737 1369008 456.46
## - Time  1     21670 1380941 456.83
## - M.F   1     22364 1381635 456.85
## - U1    1     65515 1424786 458.14
## <none>              1359271 458.16
## - U2    1    169351 1528623 461.09
## - M     1    214897 1574168 462.33
## - Prob  1    240999 1600270 463.02
## - Ed    1    305018 1664289 464.66
## - Ineq  1    532888 1892159 470.05
## - Po1   1    608829 1968101 471.71
## 
## Step:  AIC=456.46
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob + Time
## 
##        Df Sum of Sq     RSS    AIC
## - Time  1     16619 1385627 454.97
## - M.F   1     20768 1389776 455.09
## - U1    1     63821 1432829 456.37
## <none>              1369008 456.46
## - U2    1    169346 1538353 459.36
## - Prob  1    235470 1604478 461.13
## - M     1    291285 1660293 462.56
## - Ed    1    295905 1664913 462.68
## - Ineq  1    669722 2038730 471.19
## - Po1   1    842706 2211714 474.61
## 
## Step:  AIC=454.97
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     41990 1427617 454.22
## - U1    1     62591 1448218 454.82
## <none>              1385627 454.97
## - U2    1    162264 1547891 457.62
## - Prob  1    261772 1647399 460.24
## - M     1    274698 1660325 460.56
## - Ed    1    297784 1683411 461.14
## - Ineq  1    653426 2039053 469.19
## - Po1   1    903782 2289409 474.06
## 
## Step:  AIC=454.22
## .outcome ~ M + Ed + Po1 + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1     38642 1466259 453.34
## <none>              1427617 454.22
## - U2    1    145775 1573392 456.31
## - Prob  1    298586 1726203 460.20
## - M     1    347506 1775123 461.37
## - Ed    1    639629 2067246 467.77
## - Ineq  1    841522 2269138 471.68
## - Po1   1    864053 2291670 472.10
## 
## Step:  AIC=453.34
## .outcome ~ M + Ed + Po1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1466259 453.34
## - U2    1    173892 1640150 456.05
## - Prob  1    329585 1795844 459.86
## - M     1    346604 1812863 460.26
## - Ed    1    625738 2091997 466.27
## - Ineq  1    855963 2322222 470.66
## - Po1   1   1168554 2634812 475.96
## Start:  AIC=466.66
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       760 1312317 464.68
## - Time    1      9821 1321379 464.97
## - LF      1     11328 1322886 465.02
## - Pop     1     13453 1325010 465.09
## - NW      1     14454 1326011 465.12
## - Wealth  1     26396 1337954 465.50
## - M.F     1     35282 1346840 465.78
## - Po2     1     40953 1352511 465.95
## <none>                1311557 466.66
## - U1      1    103987 1415544 467.86
## - Po1     1    140911 1452468 468.95
## - M       1    146741 1458299 469.11
## - Prob    1    168596 1480154 469.74
## - U2      1    204565 1516123 470.75
## - Ed      1    422819 1734376 476.40
## - Ineq    1    430557 1742114 476.58
## 
## Step:  AIC=464.68
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      9441 1321758 462.99
## - LF      1     10983 1323300 463.03
## - Pop     1     12940 1325257 463.10
## - NW      1     14481 1326798 463.15
## - Wealth  1     25677 1337994 463.50
## - M.F     1     34527 1346844 463.78
## - Po2     1     41004 1353321 463.98
## <none>                1312317 464.68
## - U1      1    113454 1425771 466.17
## - Po1     1    141890 1454207 467.00
## - M       1    146269 1458586 467.12
## - Prob    1    180044 1492361 468.08
## - U2      1    210393 1522710 468.93
## - Ed      1    422378 1734695 474.40
## - Ineq    1    482826 1795143 475.84
## 
## Step:  AIC=462.99
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      9460 1331218 461.29
## - NW      1      9854 1331611 461.30
## - Pop     1     22367 1344125 461.69
## - Wealth  1     24443 1346200 461.76
## - Po2     1     31766 1353524 461.98
## - M.F     1     40359 1362117 462.25
## <none>                1321758 462.99
## - U1      1    106640 1428397 464.24
## - Po1     1    134560 1456318 465.06
## - M       1    140837 1462595 465.24
## - U2      1    205874 1527632 467.07
## - Prob    1    217934 1539691 467.40
## - Ed      1    427255 1749013 472.75
## - Ineq    1    491515 1813273 474.26
## 
## Step:  AIC=461.29
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      7378 1338596 459.52
## - Wealth  1     23575 1354793 460.02
## - Po2     1     24402 1355619 460.05
## - Pop     1     29315 1360533 460.20
## - M.F     1     30946 1362164 460.25
## <none>                1331218 461.29
## - U1      1     97187 1428405 462.24
## - Po1     1    125158 1456376 463.06
## - M       1    160427 1491645 464.06
## - Prob    1    209355 1540573 465.42
## - U2      1    212073 1543291 465.49
## - Ed      1    432529 1763747 471.10
## - Ineq    1    486781 1817999 472.37
## 
## Step:  AIC=459.52
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     20726 1359323 458.16
## - Po2     1     21375 1359971 458.18
## - Pop     1     27397 1365993 458.37
## - M.F     1     28025 1366621 458.39
## <none>                1338596 459.52
## - U1      1    101545 1440141 460.59
## - Po1     1    122645 1461241 461.20
## - Prob    1    203877 1542473 463.47
## - M       1    208051 1546647 463.59
## - U2      1    223220 1561817 464.00
## - Ed      1    425870 1764466 469.12
## - Ineq    1    566073 1904669 472.33
## 
## Step:  AIC=458.16
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Pop   1     22213 1381536 456.84
## - Po2   1     24377 1383699 456.91
## - M.F   1     42166 1401488 457.45
## <none>              1359323 458.16
## - U1    1    133828 1493150 460.11
## - Po1   1    139166 1498489 460.26
## - M     1    187799 1547121 461.60
## - Prob  1    239183 1598506 462.97
## - U2    1    264215 1623538 463.62
## - Ed    1    486117 1845440 469.00
## - Ineq  1    709752 2069074 473.81
## 
## Step:  AIC=456.84
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     22296 1403832 455.52
## <none>              1381536 456.84
## - M.F   1     93754 1475290 457.60
## - Po1   1    126039 1507575 458.51
## - U1    1    146984 1528520 459.09
## - M     1    197891 1579427 460.47
## - Prob  1    218066 1599602 461.00
## - U2    1    259785 1641321 462.08
## - Ed    1    482153 1863689 467.42
## - Ineq  1    690177 2071713 471.86
## 
## Step:  AIC=455.52
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1403832 455.52
## - M.F   1    112243 1516075 456.75
## - U1    1    144361 1548192 457.63
## - M     1    204643 1608475 459.23
## - Prob  1    223888 1627720 459.73
## - U2    1    266035 1669867 460.80
## - Ed    1    462254 1866085 465.47
## - Ineq  1    702603 2106434 470.56
## - Po1   1   1497780 2901612 484.01
## Start:  AIC=484.76
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1       226 1295391 482.77
## - Time    1      3303 1298468 482.87
## - LF      1      3785 1298950 482.89
## - NW      1     19057 1314221 483.40
## - M.F     1     21840 1317005 483.49
## - Wealth  1     33757 1328922 483.89
## - Po2     1     47523 1342687 484.34
## - Pop     1     48099 1343263 484.36
## <none>                1295165 484.76
## - U1      1     74870 1370035 485.23
## - M       1    108820 1403984 486.31
## - Po1     1    158904 1454069 487.85
## - U2      1    162476 1457640 487.96
## - Prob    1    194855 1490020 488.92
## - Ed      1    306628 1601792 492.11
## - Ineq    1    353615 1648779 493.38
## 
## Step:  AIC=482.77
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      3710 1299101 480.89
## - LF      1      6140 1301531 480.97
## - M.F     1     23241 1318632 481.55
## - NW      1     25445 1320836 481.62
## - Wealth  1     36821 1332212 482.00
## - Pop     1     47876 1343267 482.36
## - Po2     1     48159 1343550 482.37
## <none>                1295391 482.77
## - U1      1     92200 1387591 483.79
## - M       1    112254 1407645 484.42
## - Po1     1    159321 1454712 485.87
## - U2      1    175768 1471159 486.36
## - Prob    1    196846 1492237 486.99
## - Ed      1    310484 1605875 490.22
## - Ineq    1    412489 1707880 492.93
## 
## Step:  AIC=480.89
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      5753 1304854 479.09
## - NW      1     22151 1321252 479.64
## - M.F     1     27063 1326164 479.80
## - Wealth  1     35525 1334626 480.08
## - Po2     1     44592 1343693 480.38
## <none>                1299101 480.89
## - Pop     1     62656 1361757 480.96
## - U1      1     88957 1388058 481.81
## - M       1    108875 1407976 482.43
## - Po1     1    158847 1457948 483.97
## - U2      1    172064 1471165 484.36
## - Prob    1    248391 1547492 486.59
## - Ed      1    308605 1607706 488.27
## - Ineq    1    418774 1717875 491.19
## 
## Step:  AIC=479.09
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     18985 1323839 477.72
## - M.F     1     21443 1326297 477.80
## - Wealth  1     35429 1340284 478.26
## - Po2     1     39489 1344343 478.40
## <none>                1304854 479.09
## - Pop     1     71188 1376042 479.42
## - U1      1     83731 1388586 479.82
## - M       1    122915 1427770 481.05
## - Po1     1    153105 1457960 481.97
## - U2      1    176623 1481478 482.67
## - Prob    1    243310 1548164 484.61
## - Ed      1    313434 1618288 486.56
## - Ineq    1    422854 1727709 489.44
## 
## Step:  AIC=477.72
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - M.F     1     17129 1340968 476.29
## - Po2     1     31070 1354909 476.74
## - Wealth  1     31114 1354953 476.74
## <none>                1323839 477.72
## - Pop     1     63938 1387777 477.80
## - U1      1     86971 1410810 478.52
## - Po1     1    144406 1468245 480.28
## - U2      1    190378 1514217 481.63
## - M       1    200475 1524314 481.93
## - Prob    1    224597 1548435 482.62
## - Ed      1    303971 1627810 484.82
## - Ineq    1    515532 1839371 490.19
## 
## Step:  AIC=476.29
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     42268 1383236 475.65
## - Po2     1     43276 1384243 475.68
## <none>                1340968 476.29
## - U1      1     69945 1410913 476.52
## - Pop     1    123280 1464248 478.16
## - U2      1    173612 1514579 479.64
## - Po1     1    180487 1521454 479.84
## - M       1    222512 1563479 481.04
## - Prob    1    233213 1574180 481.34
## - Ed      1    390276 1731244 485.53
## - Ineq    1    641843 1982810 491.50
## 
## Step:  AIC=475.65
## .outcome ~ M + Ed + Po1 + Po2 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     45642 1428878 475.08
## <none>              1383236 475.65
## - U1    1     91440 1474676 476.47
## - Pop   1    124131 1507367 477.43
## - M     1    199144 1582380 479.57
## - Po1   1    203982 1587218 479.71
## - U2    1    215132 1598368 480.01
## - Prob  1    283489 1666725 481.86
## - Ed    1    481711 1864947 486.80
## - Ineq  1    725117 2108353 492.20
## 
## Step:  AIC=475.08
## .outcome ~ M + Ed + Po1 + Pop + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1428878 475.08
## - U1    1     83745 1512623 475.59
## - Pop   1    117384 1546263 476.56
## - U2    1    212114 1640992 479.17
## - M     1    213466 1642344 479.21
## - Prob  1    287262 1716140 481.14
## - Ed    1    470643 1899521 485.61
## - Ineq  1    758723 2187601 491.82
## - Po1   1   1618464 3047342 506.41
## Start:  AIC=466.53
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1         4 1307485 464.53
## - Time    1      4597 1312078 464.68
## - LF      1      7708 1315188 464.78
## - Po2     1     14602 1322082 465.00
## - Pop     1     15755 1323236 465.03
## - NW      1     20149 1327630 465.17
## - M.F     1     44078 1351559 465.92
## - Wealth  1     48875 1356356 466.07
## <none>                1307481 466.53
## - Po1     1     82654 1390134 467.10
## - U1      1     88240 1395720 467.27
## - M       1    127665 1435146 468.44
## - U2      1    189131 1496612 470.20
## - Prob    1    195922 1503402 470.39
## - Ed      1    353792 1661272 474.59
## - Ineq    1    412341 1719821 476.04
## 
## Step:  AIC=464.53
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      4730 1312215 462.68
## - LF      1     10119 1317603 462.85
## - Po2     1     14655 1322140 463.00
## - Pop     1     15751 1323236 463.03
## - NW      1     24524 1332009 463.31
## - M.F     1     45061 1352546 463.95
## - Wealth  1     51682 1359167 464.16
## <none>                1307485 464.53
## - Po1     1     82680 1390165 465.11
## - U1      1    102463 1409948 465.70
## - M       1    129146 1436630 466.49
## - U2      1    200473 1507958 468.52
## - Prob    1    202512 1509997 468.58
## - Ed      1    354476 1661960 472.61
## - Ineq    1    475826 1783311 475.57
## 
## Step:  AIC=462.68
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1      9663 1321878 460.99
## - Po2     1     10379 1322593 461.01
## - NW      1     20574 1332789 461.33
## - Pop     1     21985 1334200 461.38
## - Wealth  1     50247 1362461 462.26
## - M.F     1     51794 1364008 462.31
## <none>                1312215 462.68
## - Po1     1     79618 1391832 463.16
## - U1      1     98598 1410812 463.72
## - M       1    125107 1437322 464.51
## - U2      1    197276 1509491 466.56
## - Prob    1    252049 1564263 468.06
## - Ed      1    364002 1676216 470.96
## - Ineq    1    494944 1807159 474.12
## 
## Step:  AIC=460.99
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      5566 1327443 459.17
## - NW      1     15985 1337862 459.49
## - Pop     1     30328 1352206 459.94
## - M.F     1     42815 1364692 460.33
## - Wealth  1     49294 1371171 460.53
## <none>                1321878 460.99
## - Po1     1     70771 1392649 461.18
## - U1      1     89059 1410937 461.73
## - M       1    140252 1462129 463.22
## - U2      1    204593 1526471 465.03
## - Prob    1    242533 1564410 466.06
## - Ed      1    363234 1685111 469.19
## - Ineq    1    505057 1826935 472.58
## 
## Step:  AIC=459.17
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     13306 1340749 457.58
## - Pop     1     28654 1356097 458.06
## - M.F     1     48404 1375847 458.67
## - Wealth  1     50577 1378021 458.74
## <none>                1327443 459.17
## - U1      1     89994 1417437 459.92
## - M       1    141793 1469236 461.43
## - U2      1    211514 1538958 463.38
## - Prob    1    239601 1567044 464.14
## - Ed      1    357932 1685375 467.19
## - Ineq    1    548987 1876431 471.70
## - Po1     1    764369 2091812 476.27
## 
## Step:  AIC=457.58
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     26681 1367430 456.41
## - M.F     1     41657 1382405 456.87
## - Wealth  1     43871 1384620 456.94
## <none>                1340749 457.58
## - U1      1     92120 1432869 458.38
## - M       1    202529 1543278 461.49
## - U2      1    222791 1563540 462.04
## - Prob    1    228541 1569290 462.20
## - Ed      1    347604 1688353 465.27
## - Ineq    1    602000 1942749 471.16
## - Po1     1   1013327 2354076 479.23
## 
## Step:  AIC=456.41
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     35619 1403050 455.49
## <none>                1367430 456.41
## - M.F     1    100126 1467556 457.38
## - U1      1    111346 1478777 457.70
## - Prob    1    205362 1572793 460.29
## - M       1    224511 1591941 460.80
## - U2      1    226676 1594106 460.85
## - Ed      1    338312 1705742 463.70
## - Ineq    1    588787 1956218 469.45
## - Po1     1   1080061 2447491 478.86
## 
## Step:  AIC=455.49
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1403050 455.49
## - M.F   1    121808 1524858 456.99
## - U1    1    142074 1545124 457.54
## - M     1    199675 1602725 459.08
## - Prob  1    249091 1652141 460.36
## - U2    1    278445 1681495 461.10
## - Ed    1    387442 1790492 463.73
## - Ineq  1    698107 2101157 470.45
## - Po1   1   1633186 3036235 485.92
## Start:  AIC=464.48
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1       112 1245419 462.49
## - Time    1       490 1245796 462.50
## - So      1      5529 1250835 462.67
## - Po2     1      6658 1251964 462.71
## - NW      1     18824 1264130 463.11
## - Pop     1     22526 1267833 463.24
## - Wealth  1     31016 1276322 463.52
## - M.F     1     54044 1299351 464.27
## - U1      1     58166 1303472 464.40
## <none>                1245306 464.48
## - Po1     1     65364 1310671 464.63
## - M       1     93024 1338330 465.51
## - U2      1    116294 1361600 466.23
## - Prob    1    177574 1422880 468.08
## - Ed      1    324542 1569848 472.21
## - Ineq    1    412509 1657816 474.50
## 
## Step:  AIC=462.49
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       430 1245849 460.50
## - So      1      7030 1252449 460.72
## - Po2     1      7052 1252471 460.72
## - NW      1     20456 1265875 461.17
## - Pop     1     22929 1268347 461.25
## - Wealth  1     31566 1276984 461.54
## <none>                1245419 462.49
## - M.F     1     61657 1307076 462.52
## - U1      1     65938 1311357 462.65
## - Po1     1     70790 1316209 462.81
## - M       1     97318 1342736 463.65
## - U2      1    116764 1362183 464.25
## - Prob    1    181724 1427143 466.21
## - Ed      1    362208 1607627 471.21
## - Ineq    1    423877 1669296 472.79
## 
## Step:  AIC=460.5
## .outcome ~ So + M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1      6760 1252610 458.73
## - So      1      7233 1253083 458.74
## - NW      1     21314 1267163 459.21
## - Pop     1     24331 1270180 459.31
## - Wealth  1     31240 1277089 459.54
## <none>                1245849 460.50
## - U1      1     65606 1311455 460.66
## - M.F     1     72287 1318137 460.87
## - Po1     1     74238 1320087 460.93
## - M       1     97183 1343032 461.66
## - U2      1    118838 1364687 462.33
## - Prob    1    242755 1488604 465.98
## - Ed      1    361971 1607820 469.21
## - Ineq    1    428881 1674730 470.93
## 
## Step:  AIC=458.73
## .outcome ~ So + M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1      5499 1258109 456.91
## - NW      1     18756 1271366 457.35
## - Pop     1     21792 1274402 457.45
## - Wealth  1     30283 1282893 457.73
## <none>                1252610 458.73
## - U1      1     73007 1325616 459.11
## - M.F     1     88258 1340868 459.59
## - M       1    101866 1354476 460.01
## - U2      1    131665 1384275 460.93
## - Prob    1    236489 1489098 463.99
## - Ed      1    355698 1608307 467.23
## - Ineq    1    447171 1699781 469.55
## - Po1     1    699237 1951846 475.36
## 
## Step:  AIC=456.91
## .outcome ~ M + Ed + Po1 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     20441 1278549 455.59
## - Pop     1     21155 1279264 455.61
## - Wealth  1     30831 1288940 455.93
## <none>                1258109 456.91
## - M.F     1     83763 1341872 457.62
## - U1      1     85035 1343144 457.66
## - M       1    135383 1393491 459.21
## - U2      1    153098 1411207 459.74
## - Prob    1    260490 1518599 462.82
## - Ed      1    350921 1609029 465.25
## - Ineq    1    526200 1784309 469.59
## - Po1     1    723072 1981180 473.98
## 
## Step:  AIC=455.59
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     13999 1292548 454.05
## - Wealth  1     21450 1299999 454.29
## <none>                1278549 455.59
## - M.F     1     73830 1352379 455.95
## - U1      1     88131 1366681 456.39
## - U2      1    155656 1434206 458.41
## - Prob    1    245589 1524138 460.97
## - M       1    260395 1538945 461.38
## - Ed      1    340064 1618613 463.50
## - Ineq    1    567509 1846058 469.02
## - Po1     1    994263 2272812 477.75
## 
## Step:  AIC=454.05
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     16726 1309274 452.59
## <none>                1292548 454.05
## - U1      1    101199 1393747 455.21
## - M.F     1    137956 1430504 456.31
## - U2      1    158407 1450955 456.90
## - Prob    1    231615 1524163 458.97
## - M       1    274167 1566715 460.13
## - Ed      1    341035 1633583 461.88
## - Ineq    1    576505 1869053 467.54
## - Po1     1   1079325 2371873 477.54
## 
## Step:  AIC=452.59
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1309274 452.59
## - U1    1    119697 1428971 454.26
## - M.F   1    156458 1465732 455.33
## - U2    1    183818 1493092 456.10
## - M     1    258746 1568020 458.16
## - Prob  1    266229 1575503 458.36
## - Ed    1    389119 1698393 461.52
## - Ineq  1    750154 2059428 469.61
## - Po1   1   1549228 2858502 483.38
## Start:  AIC=444.96
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       192  970917 442.97
## - Time    1      6651  977376 443.24
## - So      1     17155  987881 443.68
## - NW      1     22788  993514 443.91
## <none>                 970726 444.96
## - LF      1     60233 1030959 445.43
## - Po2     1     76159 1046885 446.06
## - M.F     1     88703 1059428 446.55
## - Wealth  1    130103 1100828 448.12
## - Prob    1    133813 1104539 448.26
## - U1      1    160027 1130753 449.22
## - Po1     1    166004 1136730 449.43
## - U2      1    195973 1166699 450.50
## - M       1    203342 1174068 450.76
## - Ed      1    476462 1447188 459.33
## - Ineq    1    516487 1487213 460.45
## 
## Step:  AIC=442.97
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1      8815  979733 441.34
## - So      1     17138  988055 441.69
## - NW      1     23977  994895 441.97
## <none>                 970917 442.97
## - LF      1     63243 1034160 443.56
## - Po2     1     75968 1046885 444.06
## - M.F     1    110039 1080956 445.37
## - Wealth  1    132150 1103067 446.20
## - Prob    1    133820 1104737 446.26
## - U1      1    163693 1134611 447.36
## - Po1     1    168980 1139897 447.55
## - U2      1    195832 1166749 448.50
## - M       1    203268 1174186 448.76
## - Ed      1    477999 1448916 457.38
## - Ineq    1    518738 1489655 458.52
## 
## Step:  AIC=441.34
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - So      1     14021  993753 439.92
## - NW      1     16971  996704 440.04
## <none>                 979733 441.34
## - LF      1     62377 1042109 441.87
## - Po2     1     67627 1047359 442.08
## - Wealth  1    123580 1103312 444.21
## - M.F     1    144404 1124137 444.98
## - Prob    1    144832 1124565 444.99
## - Po1     1    160168 1139900 445.55
## - U1      1    166072 1145804 445.76
## - U2      1    195104 1174837 446.79
## - M       1    197261 1176993 446.86
## - Ed      1    487520 1467252 455.90
## - Ineq    1    511629 1491362 456.57
## 
## Step:  AIC=439.92
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1      7854 1001607 438.25
## - LF      1     48383 1042136 439.87
## <none>                 993753 439.92
## - Po2     1     59733 1053486 440.32
## - Wealth  1    111470 1105223 442.28
## - M.F     1    131182 1124935 443.01
## - Po1     1    151415 1145168 443.74
## - U1      1    152646 1146399 443.78
## - Prob    1    173516 1167269 444.52
## - U2      1    181960 1175714 444.82
## - M       1    188105 1181859 445.03
## - Ed      1    478978 1472732 454.05
## - Ineq    1    502024 1495777 454.69
## 
## Step:  AIC=438.25
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     44361 1045968 438.02
## <none>                1001607 438.25
## - Po2     1     53613 1055220 438.38
## - Wealth  1    106030 1107637 440.37
## - M.F     1    125039 1126646 441.07
## - Po1     1    145742 1147349 441.82
## - Prob    1    167014 1168621 442.57
## - U1      1    177498 1179105 442.93
## - U2      1    233309 1234916 444.83
## - M       1    294832 1296439 446.82
## - Ed      1    473396 1475003 452.11
## - Ineq    1    581222 1582829 455.01
## 
## Step:  AIC=438.02
## .outcome ~ M + Ed + Po1 + Po2 + M.F + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     31563 1077531 437.24
## <none>                1045968 438.02
## - M.F     1     80928 1126896 439.08
## - Wealth  1     95945 1141912 439.62
## - Po1     1    115137 1161105 440.30
## - Prob    1    133876 1179844 440.96
## - U1      1    135081 1181048 441.00
## - U2      1    222130 1268097 443.92
## - M       1    289179 1335147 446.03
## - Ed      1    429947 1475915 450.14
## - Ineq    1    566823 1612791 453.78
## 
## Step:  AIC=437.24
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## <none>                1077531 437.24
## - M.F     1    100383 1177914 438.89
## - Wealth  1    107600 1185131 439.14
## - Prob    1    125000 1202531 439.74
## - U1      1    130534 1208065 439.93
## - U2      1    216396 1293928 442.74
## - M       1    274533 1352064 444.55
## - Ed      1    413405 1490936 448.56
## - Ineq    1    667721 1745252 455.01
## - Po1     1    801724 1879255 458.05
## Start:  AIC=469.81
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1       288 1135944 467.82
## - Time    1       657 1136313 467.83
## - Wealth  1      3244 1138900 467.93
## - NW      1     10026 1145682 468.18
## - M.F     1     11585 1147241 468.24
## - Po2     1     15373 1151029 468.38
## - LF      1     15700 1151356 468.40
## - U1      1     18690 1154346 468.51
## - So      1     50825 1186482 469.69
## <none>                1135656 469.81
## - Ineq    1     83174 1218830 470.84
## - Po1     1     85267 1220923 470.92
## - U2      1    159376 1295032 473.45
## - Prob    1    171454 1307110 473.85
## - M       1    216208 1351864 475.30
## - Ed      1    231419 1367075 475.78
## 
## Step:  AIC=467.82
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1       777 1136721 465.85
## - Wealth  1      3005 1138949 465.93
## - NW      1     10078 1146021 466.20
## - LF      1     15432 1151375 466.40
## - M.F     1     15453 1151397 466.40
## - Po2     1     16244 1152188 466.43
## - U1      1     19685 1155629 466.56
## - So      1     51797 1187741 467.73
## <none>                1135944 467.82
## - Po1     1     85825 1221769 468.95
## - Ineq    1     90169 1226113 469.10
## - U2      1    159600 1295544 471.47
## - Prob    1    171173 1307117 471.85
## - M       1    215928 1351872 473.30
## - Ed      1    234240 1370184 473.88
## 
## Step:  AIC=465.85
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1      2520 1139241 463.94
## - NW      1      9321 1146043 464.20
## - LF      1     14939 1151661 464.41
## - Po2     1     15468 1152190 464.43
## - U1      1     19152 1155873 464.56
## - M.F     1     20356 1157077 464.61
## <none>                1136721 465.85
## - So      1     56546 1193267 465.93
## - Po1     1     86152 1222873 466.99
## - Ineq    1     89439 1226160 467.10
## - U2      1    159253 1295974 469.48
## - M       1    222243 1358964 471.52
## - Ed      1    243575 1380296 472.19
## - Prob    1    251356 1388077 472.44
## 
## Step:  AIC=463.94
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + NW + U1 + U2 + 
##     Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - NW    1      8100 1147341 462.25
## - Po2   1     15725 1154966 462.53
## - LF    1     17369 1156610 462.59
## - U1    1     19495 1158736 462.67
## - M.F   1     20261 1159502 462.70
## <none>              1139241 463.94
## - So    1     68497 1207738 464.45
## - Po1   1     90503 1229744 465.23
## - Ineq  1    115489 1254730 466.09
## - U2    1    171473 1310714 467.97
## - M     1    219836 1359077 469.53
## - Ed    1    252765 1392006 470.56
## - Prob  1    282600 1421841 471.47
## 
## Step:  AIC=462.25
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + U1 + U2 + Ineq + 
##     Prob
## 
##        Df Sum of Sq     RSS    AIC
## - Po2   1     11539 1158880 460.68
## - M.F   1     14932 1162273 460.80
## - U1    1     15909 1163250 460.84
## - LF    1     24597 1171939 461.16
## <none>              1147341 462.25
## - Po1   1     84313 1231654 463.29
## - So    1     97405 1244747 463.75
## - Ineq  1    137552 1284893 465.11
## - U2    1    168439 1315781 466.14
## - Ed    1    244790 1392131 468.56
## - M     1    275109 1422451 469.49
## - Prob  1    276373 1423714 469.53
## 
## Step:  AIC=460.68
## .outcome ~ So + M + Ed + Po1 + LF + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - M.F   1     12425 1171305 459.13
## - U1    1     13030 1171910 459.16
## - LF    1     50140 1209020 460.50
## <none>              1158880 460.68
## - So    1     99983 1258863 462.23
## - Ineq  1    138309 1297189 463.52
## - U2    1    172688 1331568 464.65
## - Ed    1    236745 1395625 466.67
## - Prob  1    275622 1434502 467.85
## - M     1    322993 1481873 469.25
## - Po1   1   1446995 2605875 493.52
## 
## Step:  AIC=459.13
## .outcome ~ So + M + Ed + Po1 + LF + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## - U1    1      3428 1174733 457.26
## <none>              1171305 459.13
## - So    1    126201 1297506 461.53
## - Ineq  1    128770 1300075 461.62
## - LF    1    139780 1311086 461.98
## - U2    1    160829 1332134 462.67
## - Ed    1    235449 1406754 465.01
## - Prob  1    278716 1450021 466.31
## - M     1    436805 1608110 470.76
## - Po1   1   1532437 2703742 493.10
## 
## Step:  AIC=457.26
## .outcome ~ So + M + Ed + Po1 + LF + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1174733 457.26
## - Ineq  1    125402 1300136 459.62
## - LF    1    155286 1330019 460.60
## - So    1    170627 1345361 461.09
## - Ed    1    246640 1421373 463.46
## - Prob  1    297390 1472123 464.96
## - U2    1    346759 1521493 466.38
## - M     1    433384 1608117 468.76
## - Po1   1   1840158 3014891 495.79
## Start:  AIC=514.65
## .outcome ~ So + M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + 
##     U2 + Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - So      1        29 1354974 512.65
## - LF      1      8917 1363862 512.96
## - Time    1     10304 1365250 513.00
## - Pop     1     14122 1369068 513.14
## - NW      1     18395 1373341 513.28
## - M.F     1     31967 1386913 513.74
## - Wealth  1     37613 1392558 513.94
## - Po2     1     37919 1392865 513.95
## <none>                1354946 514.65
## - U1      1     83722 1438668 515.47
## - Po1     1    144306 1499252 517.41
## - U2      1    181536 1536482 518.56
## - M       1    193770 1548716 518.93
## - Prob    1    199538 1554484 519.11
## - Ed      1    402117 1757063 524.86
## - Ineq    1    423031 1777977 525.42
## 
## Step:  AIC=512.65
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob + Time
## 
##          Df Sum of Sq     RSS    AIC
## - Time    1     10341 1365315 511.01
## - LF      1     10878 1365852 511.03
## - Pop     1     14127 1369101 511.14
## - NW      1     21626 1376600 511.39
## - M.F     1     32449 1387423 511.76
## - Po2     1     37954 1392929 511.95
## - Wealth  1     39223 1394197 511.99
## <none>                1354974 512.65
## - U1      1     96420 1451395 513.88
## - Po1     1    144302 1499277 515.41
## - U2      1    189859 1544834 516.81
## - M       1    195084 1550059 516.97
## - Prob    1    204463 1559437 517.26
## - Ed      1    403140 1758114 522.89
## - Ineq    1    488834 1843808 525.13
## 
## Step:  AIC=511.01
## .outcome ~ M + Ed + Po1 + Po2 + LF + M.F + Pop + NW + U1 + U2 + 
##     Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - LF      1     10533 1375848 509.37
## - NW      1     15482 1380797 509.54
## - Pop     1     21846 1387161 509.75
## - Po2     1     28932 1394247 509.99
## - Wealth  1     36070 1401385 510.23
## - M.F     1     41784 1407099 510.42
## <none>                1365315 511.01
## - U1      1     91420 1456735 512.05
## - Po1     1    134137 1499452 513.41
## - U2      1    184143 1549458 514.95
## - M       1    186110 1551425 515.01
## - Prob    1    237493 1602808 516.54
## - Ed      1    409448 1774763 521.33
## - Ineq    1    502909 1868224 523.75
## 
## Step:  AIC=509.37
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + NW + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - NW      1     11675 1387523 507.77
## - Po2     1     21418 1397266 508.09
## - Pop     1     27803 1403651 508.31
## - M.F     1     31252 1407100 508.42
## - Wealth  1     35035 1410883 508.55
## <none>                1375848 509.37
## - U1      1     80954 1456802 510.06
## - Po1     1    123896 1499744 511.42
## - U2      1    190746 1566594 513.47
## - M       1    217716 1593564 514.27
## - Prob    1    226971 1602819 514.54
## - Ed      1    413254 1789103 519.71
## - Ineq    1    500944 1876792 521.96
## 
## Step:  AIC=507.77
## .outcome ~ M + Ed + Po1 + Po2 + M.F + Pop + U1 + U2 + Wealth + 
##     Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Po2     1     16706 1404229 506.33
## - Pop     1     25793 1413315 506.63
## - M.F     1     26785 1414308 506.66
## - Wealth  1     31551 1419073 506.82
## <none>                1387523 507.77
## - U1      1     83881 1471404 508.52
## - Po1     1    118348 1505871 509.61
## - U2      1    201453 1588976 512.14
## - Prob    1    216760 1604282 512.59
## - M       1    309214 1696737 515.22
## - Ed      1    402754 1790276 517.74
## - Ineq    1    589736 1977259 522.41
## 
## Step:  AIC=506.33
## .outcome ~ M + Ed + Po1 + M.F + Pop + U1 + U2 + Wealth + Ineq + 
##     Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Pop     1     22345 1426575 505.07
## - Wealth  1     32142 1436371 505.39
## - M.F     1     36808 1441037 505.54
## <none>                1404229 506.33
## - U1      1     86373 1490602 507.13
## - U2      1    205814 1610043 510.76
## - Prob    1    218607 1622836 511.13
## - M       1    307001 1711230 513.62
## - Ed      1    389502 1793731 515.83
## - Ineq    1    608627 2012856 521.25
## - Po1     1   1050202 2454432 530.57
## 
## Step:  AIC=505.07
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Wealth + Ineq + Prob
## 
##          Df Sum of Sq     RSS    AIC
## - Wealth  1     26493 1453068 503.93
## <none>                1426575 505.07
## - M.F     1     84491 1511065 505.77
## - U1      1     99463 1526037 506.24
## - Prob    1    198571 1625145 509.20
## - U2      1    208880 1635455 509.49
## - M       1    320926 1747501 512.61
## - Ed      1    386773 1813348 514.35
## - Ineq    1    594779 2021354 519.45
## - Po1     1   1127277 2553852 530.44
## 
## Step:  AIC=503.93
## .outcome ~ M + Ed + Po1 + M.F + U1 + U2 + Ineq + Prob
## 
##        Df Sum of Sq     RSS    AIC
## <none>              1453068 503.93
## - M.F   1    103159 1556227 505.16
## - U1    1    127044 1580112 505.87
## - Prob  1    247978 1701046 509.34
## - U2    1    255443 1708511 509.55
## - M     1    296790 1749858 510.67
## - Ed    1    445788 1898855 514.51
## - Ineq  1    738244 2191312 521.24
## - Po1   1   1672038 3125105 537.93
#Create a new model with these 8 variables
model_0 = lm(Crime ~ M.F+U1+Prob+U2+M+Ed+Ineq+Po1, data = scaled_uscrime)
summary(model_0)
## 
## Call:
## lm(formula = Crime ~ M.F + U1 + Prob + U2 + M + Ed + Ineq + Po1, 
##     data = scaled_uscrime)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -444.70 -111.07    3.03  122.15  483.30 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   905.09      28.52  31.731  < 2e-16 ***
## M.F            65.83      40.08   1.642  0.10874    
## U1           -109.73      60.20  -1.823  0.07622 .  
## Prob          -86.31      33.89  -2.547  0.01505 *  
## U2            158.22      61.22   2.585  0.01371 *  
## M             117.28      42.10   2.786  0.00828 ** 
## Ed            201.50      59.02   3.414  0.00153 ** 
## Ineq          244.70      55.69   4.394 8.63e-05 ***
## Po1           305.07      46.14   6.613 8.26e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 195.5 on 38 degrees of freedom
## Multiple R-squared:  0.7888, Adjusted R-squared:  0.7444 
## F-statistic: 17.74 on 8 and 38 DF,  p-value: 1.159e-10
#Use cross-validation to evaluate the model's performance
SStot <- sum((uscrime$Crime - mean(uscrime$Crime))^2)
totsse <- 0
for(i in 1:nrow(scaled_uscrime)) {
  model0 = lm(Crime ~ M.F+U1+Prob+U2+M+Ed+Ineq+Po1, data = scaled_uscrime[-i,])
  predict1 <- predict(model0,newdata=scaled_uscrime[i,])
  totsse <- totsse + ((predict1 - uscrime[i,16])^2)
}
R2_m0 <- 1 - totsse/SStot
R2_m0
##        1 
## 0.667621
#In model_0, M.F and U1 seem unimportant to the model because they have larger P-values compared to other variables. I will create a new model without them to see the performance. 

model_1 = lm(Crime ~Prob+U2+M+Ed+Ineq+Po1, data = scaled_uscrime)
summary(model_1)
## 
## Call:
## lm(formula = Crime ~ Prob + U2 + M + Ed + Ineq + Po1, data = scaled_uscrime)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -470.68  -78.41  -19.68  133.12  556.23 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   905.09      29.27  30.918  < 2e-16 ***
## Prob          -86.44      34.74  -2.488  0.01711 *  
## U2             75.47      34.55   2.185  0.03483 *  
## M             131.98      41.85   3.154  0.00305 ** 
## Ed            219.79      50.07   4.390 8.07e-05 ***
## Ineq          269.91      55.60   4.855 1.88e-05 ***
## Po1           341.84      40.87   8.363 2.56e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 200.7 on 40 degrees of freedom
## Multiple R-squared:  0.7659, Adjusted R-squared:  0.7307 
## F-statistic: 21.81 on 6 and 40 DF,  p-value: 3.418e-11
#Use cross-validation to evaluate the model's performance
SStot <- sum((uscrime$Crime - mean(uscrime$Crime))^2)
totsse <- 0
for(i in 1:nrow(scaled_uscrime)) {
  model1 = lm(Crime ~ Prob+U2+M+Ed+Ineq+Po1, data = scaled_uscrime[-i,])
  predict2 <- predict(model1,newdata=scaled_uscrime[i,])
  totsse <- totsse + ((predict2 - uscrime[i,16])^2)
}
R2_m1 <- 1 - totsse/SStot
R2_m1
##         1 
## 0.6661638
##

After removing “M.F” and “U1”, my new model’s R-squared valued decreased. So I think the “M.F” and “U1” are important variables for the model.

set.seed(1)

#Find the best lambda value
cv <- cv.glmnet(x,y,alpha = 1)

cv$lambda.min
## [1] 12.175
#Use cross_validation to test the lasso model
lasso_model <- train(Crime ~ ., data = train_d, method= "glmnet", tuneGrid = expand.grid(alpha = 1, lambda = 12.175),trControl= trainControl(method = "cv", number = 10))

lasso_predict <- lasso_model %>% predict(test_d)

R2(lasso_predict, test_d$Crime)
## [1] 0.7564723
set.seed(1)

elastic_model <- train(Crime ~ ., data = train_d, method= "glmnet", tuneLength = 10,trControl= trainControl(method = "cv", number = 10))
## Warning in nominalTrainWorkflow(x = x, y = y, wts = weights, info = trainInfo, :
## There were missing values in resampled performance measures.
#Find the best parameter and the coefficients
elastic_model$bestTune
##   alpha   lambda
## 8   0.1 38.77208
coef(elastic_model$finalModel, elastic_model$bestTune$lambda)
## 16 x 1 sparse Matrix of class "dgCMatrix"
##                         1
## (Intercept) -5.516994e+03
## M            3.695801e+01
## So           1.710604e+02
## Ed           1.098065e+02
## Po1          4.689052e+01
## Po2          3.359712e+01
## LF           6.465576e+02
## M.F          2.638333e+01
## Pop          8.394839e-01
## NW           3.245122e+00
## U1          -9.938458e+02
## U2           5.600176e+01
## Wealth       5.486511e-02
## Ineq         3.957611e+01
## Prob        -3.593744e+03
## Time        -6.585112e-02
#Use the model on the test data
elastic_predict <- elastic_model %>% predict(test_d)
R2(elastic_predict, test_d$Crime)
## [1] 0.7420033

Question 12.1 Describe a situation or problem from your job, everyday life, current events, etc., for which a design of experiments approach would be appropriate.

A design of experiments approach would be appropriate for designing a wastewater treatment plant. This method can help the designer to determine the individual and interactive effects of various factors that can influence the quality of the treated effluent. It can also help me determine the most important factors for treating wastewater in a specific area.

Question 12.2 To determine the value of 10 different yes/no features to the market value of a house (large yard, solar roof, etc.), a real estate agent plans to survey 50 potential buyers, showing a fictitious house with different combinations of features. To reduce the survey size, the agent wants to show just 16 fictitious houses. Use R’s FrF2 function (in the FrF2 package) to find a fractional factorial design for this experiment: what set of features should each of the 16 fictitious houses have? Note: the output of FrF2 is “1” (include) or “-1” (don’t include) for each feature.

library(FrF2)
## Loading required package: DoE.base
## Loading required package: grid
## Loading required package: conf.design
## Registered S3 method overwritten by 'partitions':
##   method            from
##   print.equivalence lava
## Registered S3 method overwritten by 'DoE.base':
##   method           from       
##   factorize.factor conf.design
## 
## Attaching package: 'DoE.base'
## The following objects are masked from 'package:stats':
## 
##     aov, lm
## The following object is masked from 'package:graphics':
## 
##     plot.design
## The following object is masked from 'package:base':
## 
##     lengths
set.seed(1)

FrF2(16,10)
##     A  B  C  D  E  F  G  H  J  K
## 1  -1 -1 -1  1  1  1  1 -1  1 -1
## 2   1  1 -1 -1  1 -1 -1 -1  1  1
## 3  -1  1  1 -1 -1 -1  1  1 -1  1
## 4  -1 -1 -1 -1  1  1  1  1 -1  1
## 5   1 -1 -1 -1 -1 -1  1 -1 -1 -1
## 6   1 -1  1  1 -1  1 -1  1 -1 -1
## 7   1  1 -1  1  1 -1 -1  1 -1 -1
## 8  -1  1 -1 -1 -1  1 -1  1  1 -1
## 9  -1 -1  1  1  1 -1 -1 -1 -1  1
## 10 -1 -1  1 -1  1 -1 -1  1  1 -1
## 11 -1  1 -1  1 -1  1 -1 -1 -1  1
## 12  1 -1 -1  1 -1 -1  1  1  1  1
## 13  1 -1  1 -1 -1  1 -1 -1  1  1
## 14 -1  1  1  1 -1 -1  1 -1  1 -1
## 15  1  1  1  1  1  1  1  1  1  1
## 16  1  1  1 -1  1  1  1 -1 -1 -1
## class=design, type= FrF2

##Question 13.1 For each of the following distributions, give an example of data that you would expect to follow this distribution (besides the examples already discussed in class).

  1. Binomial: The probability of a college graduate getting a job right after graduation
  2. Geometric: The number of times a person passes a test
  3. Poisson: how many people go to the gym in the morning in the past month
  4. Exponential: time between when cars leaving my apartment complex
  5. Weibull: how long will it take for my phone to break