Problem Set # 6

Your Name Regina Mendicino ——————-

date()
## [1] "Thu Dec 08 08:17:22 2016"

Due Date: December 8, 2016

Total Points: 50

The file on Blackboard called Georgia.zip contains ESRI shape files in a folder called GeorgiaEduc. The file contains the percentage of Georgia county residents with a bachelor’s degree along with other countywide information. Let the response variable be PctBach (percent of population with a bachelor’s degree) and the explanatory variables be TotPop90, PctRural, PctEld, PctFB, PctPov, PctBlack. Proportion of elderly residents in each county: PctEld, Proportion of residents who are foreign born: PctFB, Proportion of residents who are living below the poverty line: PctPov, Proportion of residents who are ethnic black: PctBlack, Proportion of residents who are living in rural communities: PctRural, Total population: TotPop.

  1. Read the data into R using the readOGR() function from the rgdal package (10)
download.file("http://myweb.fsu.edu/jelsner/temp/data/Georgia.zip", 
                    "Georgia.zip", mode = "wb")
unzip("Georgia.zip")
suppressPackageStartupMessages(library(rgdal))
spdf = readOGR(dsn = "Georgia", layer = "GeorgiaEduc")
## OGR data source with driver: ESRI Shapefile 
## Source: "Georgia", layer: "GeorgiaEduc"
## with 174 features
## It has 25 fields
## Integer64 fields read as strings:  G_UTM_ G_UTM_ID AreaKey_1 TotPop90 ID
spdf
## An object of class "SpatialPolygonsDataFrame"
## Slot "data":
##     FID_1        AREA PERIMETER G_UTM_ G_UTM_ID                 AREANAME
## 0     130 1.33137e+09 207205.00    132      133       GA, Appling County
## 1     155 8.92930e+08 154640.00    157      158      GA, Atkinson County
## 2     146 7.43402e+08 130431.00    148      146         GA, Bacon County
## 3     156 9.05395e+08 185737.00    158      155         GA, Baker County
## 4      74 6.94183e+08 151347.00     76       79       GA, Baldwin County
## 5      22 6.06455e+08 103518.00     24       23         GA, Banks County
## 6      32 4.23596e+08 101165.00     34       33        GA, Barrow County
## 7      24 1.21735e+09 159004.00     26       24        GA, Bartow County
## 8     137 6.60074e+08 139968.00    139      138      GA, Ben Hill County
## 9     154 1.18753e+09 175933.00    156      153       GA, Berrien County
## 10     84 6.61796e+08 123971.00     86       85          GA, Bibb County
## 11     99 5.67800e+08 113467.00    101      100      GA, Bleckley County
## 12    158 1.16401e+09 190690.00    160      159      GA, Brantley County
## 13    166 1.29057e+09 193394.00    168      169        GA, Brooks County
## 14    117 1.17994e+09 255265.00    119      118         GA, Bryan County
## 15    122 9.01383e+04   1383.35    124      126     GA, Effingham County
## 16     94 1.79500e+09 207932.00     96       97       GA, Bulloch County
## 17     69 2.17318e+09 241349.00     71       71         GA, Burke County
## 18     64 4.92321e+08 114604.00     66       65         GA, Butts County
## 19    148 7.36480e+08 149794.00    150      149       GA, Calhoun County
## 20    162 1.78934e+09 232336.00    164      165        GA, Camden County
## 21     98 6.48256e+08 102785.00    100      102       GA, Candler County
## 22     45 1.30345e+09 174483.00     47       46       GA, Carroll County
## 23      6 4.22246e+08 101782.00      8        5       GA, Catoosa County
## 24    165 2.03788e+09 285275.00    167      170      GA, Charlton County
## 25    116 1.29860e+09 230054.00    118      119       GA, Chatham County
## 26    105 6.50998e+08 136935.00    107      103 GA, Chattahoochee County
## 27     17 8.11796e+08 126757.00     19       17     GA, Chattooga County
## 28     23 1.12580e+09 152395.00     25       25      GA, Cherokee County
## 29     37 3.13807e+08  87211.20     39       38        GA, Clarke County
## 30    145 5.62391e+08 133226.00    147      144          GA, Clay County
## 31     55 3.73823e+08 113993.00     57       54       GA, Clayton County
## 32    163 2.14596e+09 224512.00    165      164        GA, Clinch County
## 33     35 8.93607e+08 129824.00     37       36          GA, Cobb County
## 34    142 1.56439e+09 204157.00    144      143        GA, Coffee County
## 35    160 1.44393e+09 166074.00    162      161      GA, Colquitt County
## 36     50 8.02477e+08 133675.00     52       52      GA, Columbia County
## 37    159 6.04474e+08 121641.00    161      160          GA, Cook County
## 38     62 1.15677e+09 166895.00     64       62        GA, Coweta County
## 39     89 8.47174e+08 152137.00     91       89      GA, Crawford County
## 40    128 7.31503e+08 117190.00    130      128         GA, Crisp County
## 41      8 4.49012e+08 106742.00     10        9          GA, Dade County
## 42     15 5.54594e+08 128916.00     17       16        GA, Dawson County
## 43    169 1.61732e+09 175599.00    171      166       GA, Decatur County
## 44     41 7.03279e+08 124307.00     43       41        GA, DeKalb County
## 45    108 1.30609e+09 203081.00    110      109         GA, Dodge County
## 46    118 1.03109e+09 136602.00    120      116         GA, Dooly County
## 47    147 8.67334e+08 142543.00    149      148     GA, Dougherty County
## 48     46 5.17775e+08 103721.00     48       47       GA, Douglas County
## 49    153 1.33796e+09 192778.00    155      152         GA, Early County
## 50    172 1.09381e+09 155814.00    174      173        GA, Echols County
## 51     97 1.25832e+09 188746.00     99       99     GA, Effingham County
## 52     26 9.74638e+08 157283.00     28       28        GA, Elbert County
## 53     86 1.79348e+09 228167.00     88       90       GA, Emanuel County
## 54    115 4.85642e+08  96404.30    117      117         GA, Evans County
## 55      3 1.01427e+09 179577.00      5        4        GA, Fannin County
## 56     58 5.15134e+08 104886.00     60       58       GA, Fayette County
## 57     16 1.34303e+09 195921.00     18       18         GA, Floyd County
## 58     25 6.40339e+08 120670.00     27       26       GA, Forsyth County
## 59     18 6.91699e+08 119968.00     20       20      GA, Franklin County
## 60     30 1.38527e+09 274218.00     32       31        GA, Fulton County
## 61      9 1.12003e+09 161495.00     11       10        GA, Gilmer County
## 62     67 3.76442e+08  89631.70     69       69      GA, Glascock County
## 63    151 1.22817e+09 184289.00    153      156         GA, Glynn County
## 64     14 9.27950e+08 157251.00     16       15        GA, Gordon County
## 65    168 1.19253e+09 143211.00    170      167         GA, Grady County
## 66     48 1.05413e+09 158316.00     50       49        GA, Greene County
## 67     31 1.13007e+09 156167.00     33       32      GA, Gwinnett County
## 68     10 7.24066e+08 147070.00     12       11     GA, Habersham County
## 69     21 1.11367e+09 168328.00     23       21          GA, Hall County
## 70     63 1.24233e+09 171628.00     65       64       GA, Hancock County
## 71     43 7.34302e+08 112859.00     45       44      GA, Haralson County
## 72     90 1.22403e+09 161327.00     92       88        GA, Harris County
## 73     20 6.64359e+08 109735.00     22       22          GA, Hart County
## 74     66 7.78898e+08 120528.00     68       66         GA, Heard County
## 75     54 8.41617e+08 170426.00     56       55         GA, Henry County
## 76     96 9.85600e+08 175372.00     98       95       GA, Houston County
## 77    143 9.42482e+08 159608.00    145      145         GA, Irwin County
## 78     27 8.90070e+08 141063.00     29       27       GA, Jackson County
## 79     59 9.70446e+08 142219.00     61       61        GA, Jasper County
## 80    129 8.72538e+08 155852.00    131      131    GA, Jeff Davis County
## 81    132 1.34696e+05   1677.35    134      135       GA, Telfair County
## 82     68 1.37652e+09 179403.00     70       70     GA, Jefferson County
## 83     82 9.17967e+08 121744.00     84       84       GA, Jenkins County
## 84     88 7.95647e+08 160401.00     90       91       GA, Johnson County
## 85     78 1.02511e+09 135712.00     80       80         GA, Jones County
## 86     77 4.81573e+08 104356.00     79       77         GA, Lamar County
## 87    164 5.17318e+08 120861.00    166      163        GA, Lanier County
## 88     92 2.12585e+09 200205.00     94       93       GA, Laurens County
## 89    135 9.36953e+08 151427.00    137      136           GA, Lee County
## 90    124 1.41470e+09 241314.00    126      127       GA, Liberty County
## 91     39 6.68208e+08 142546.00     41       40       GA, Lincoln County
## 92    127 1.05110e+09 176056.00    129      129          GA, Long County
## 93    171 1.32518e+09 202475.00    173      172       GA, Lowndes County
## 94    173 1.40432e+06   6761.50    175      174        GA, Brooks County
## 95     12 7.38309e+08 132554.00     14       13       GA, Lumpkin County
## 96     52 6.92735e+08 144546.00     54       53      GA, McDuffie County
## 97    144 1.26600e+09 182833.00    146      147      GA, McIntosh County
## 98    103 4.36579e+06  11476.80    105      104         GA, Macon County
## 99    104 6.69472e+06  14082.00    106      106        GA, Taylor County
## 100   106 1.04802e+09 154093.00    108      105         GA, Macon County
## 101   107 6.38630e+04   1338.01    109      108                     <NA>
## 102    28 7.41989e+08 138924.00     30       29       GA, Madison County
## 103    29 4.50151e+05   3767.94     31       30      GA, Franklin County
## 104   102 9.51470e+08 153743.00    104      101        GA, Marion County
## 105    72 1.30965e+09 161261.00     74       73    GA, Meriwether County
## 106   161 7.34259e+08 117665.00    163      162        GA, Miller County
## 107   157 1.33344e+09 177011.00    159      157      GA, Mitchell County
## 108    76 1.03276e+09 145817.00     78       78        GA, Monroe County
## 109   111 6.42994e+08 134154.00    113      112    GA, Montgomery County
## 110    44 9.22021e+08 131497.00     46       45        GA, Morgan County
## 111     4 8.98090e+08 183295.00      6        3        GA, Murray County
## 112   100 5.73680e+08 124338.00    102       98      GA, Muscogee County
## 113    51 7.23479e+08 142978.00     53       50        GA, Newton County
## 114    40 4.82701e+08 113115.00     42       42        GA, Oconee County
## 115    34 1.14771e+09 169945.00     36       37    GA, Oglethorpe County
## 116    36 8.15367e+08 121487.00     38       35      GA, Paulding County
## 117    95 3.93140e+08 117015.00     97       94         GA, Peach County
## 118    19 6.03261e+08 125064.00     21       19       GA, Pickens County
## 119   150 8.94457e+08 154752.00    152      151        GA, Pierce County
## 120    73 8.93916e+04   1849.47     75       74        GA, Coweta County
## 121    79 5.67968e+08 109069.00     81       76          GA, Pike County
## 122    33 8.09116e+08 133679.00     35       34          GA, Polk County
## 123   110 6.49607e+08 121358.00    112      111       GA, Pulaski County
## 124    61 9.34554e+08 143109.00     63       63        GA, Putnam County
## 125   131 4.17297e+08  96077.20    133      130       GA, Quitman County
## 126     0 9.78648e+08 174967.00      2        1         GA, Rabun County
## 127   134 1.11512e+09 163412.00    136      134      GA, Randolph County
## 128    56 8.51450e+08 166877.00     58       59      GA, Richmond County
## 129    65 1.98138e+05   1965.86     67       68      GA, Richmond County
## 130    47 3.42248e+08  92505.00     49       48      GA, Rockdale County
## 131    57 6.37167e+05   3252.28     59       57      GA, Rockdale County
## 132    60 1.24768e+05   1644.54     62       60      GA, Rockdale County
## 133   109 4.36626e+08 112655.00    111      110        GA, Schley County
## 134    80 1.70582e+09 217244.00     82       81       GA, Screven County
## 135    91 2.34624e+05   2027.83     93       96                     <NA>
## 136   170 6.65795e+08 128639.00    172      171      GA, Seminole County
## 137    70 5.18149e+08 120013.00     72       67      GA, Spalding County
## 138    13 4.78037e+08  96680.00     15       14      GA, Stephens County
## 139   121 1.19993e+09 164758.00    123      120       GA, Stewart County
## 140   119 1.27725e+09 174989.00    121      122        GA, Sumter County
## 141    87 1.02424e+09 163927.00     89       87        GA, Talbot County
## 142    49 5.08483e+08 133220.00     51       51    GA, Taliaferro County
## 143   113 1.27026e+09 195057.00    115      114      GA, Tattnall County
## 144    93 9.75806e+08 171423.00     95       92        GA, Taylor County
## 145   125 1.14952e+09 172446.00    127      125       GA, Telfair County
## 146   140 6.55219e+04   1320.29    142      141        GA, Coffee County
## 147   141 9.83809e+04   1592.47    143      142        GA, Coffee County
## 148   133 8.75287e+08 136287.00    135      132       GA, Terrell County
## 149   167 1.43158e+09 165005.00    169      168        GA, Thomas County
## 150   149 6.97785e+08 117944.00    151      150          GA, Tift County
## 151   112 9.59380e+08 152467.00    114      113        GA, Toombs County
## 152     1 4.46153e+08 115140.00      3        2         GA, Towns County
## 153   101 5.25402e+08 110113.00    103      107      GA, Treutlen County
## 154    75 1.15290e+09 145056.00     77       75         GA, Troup County
## 155   138 7.50012e+08 129335.00    140      137        GA, Turner County
## 156    85 9.39147e+08 152058.00     87       86        GA, Twiggs County
## 157     2 8.54333e+08 160360.00      4        7         GA, Union County
## 158    83 8.48400e+08 142991.00     85       83         GA, Upson County
## 159     7 1.15859e+09 167359.00      9        8        GA, Walker County
## 160    42 8.57372e+08 128550.00     44       43        GA, Walton County
## 161   152 2.35637e+09 341307.00    154      154          GA, Ware County
## 162    53 7.44561e+08 158106.00     55       56        GA, Warren County
## 163    71 1.77708e+09 202172.00     73       72    GA, Washington County
## 164   136 1.68910e+09 211686.00    138      140         GA, Wayne County
## 165   120 5.44604e+08 119307.00    122      121       GA, Webster County
## 166   114 7.79490e+08 154613.00    116      115       GA, Wheeler County
## 167   123 4.21714e+06   9211.21    125      123       GA, Telfair County
## 168    11 6.27834e+08 117599.00     13       12         GA, White County
## 169     5 7.52850e+08 174980.00      7        6     GA, Whitfield County
## 170   126 9.93517e+08 160299.00    128      124        GA, Wilcox County
## 171    38 1.23065e+09 180896.00     40       39        GA, Wilkes County
## 172    81 1.17516e+09 161482.00     83       82     GA, Wilkinson County
## 173   139 1.48942e+09 200985.00    141      139         GA, Worth County
##     AREAKEY X_COORD Y_COORD KEY_VAL FID_2 AreaKey_1 Latitude  Longitud
## 0     13001  941397 3521760       0     0     13001 31.75339 -82.28558
## 1     13003  895553 3471920       0     1     13003 31.29486 -82.87474
## 2     13005  930946 3502790       0     2     13005 31.55678 -82.45115
## 3     13007  745399 3474760       0     3     13007 31.33084 -84.45401
## 4     13009  849431 3665550   13009     4     13009 33.07193 -83.25085
## 5     13011  819317 3807620   13011     5     13011 34.35270 -83.50054
## 6     13013  803747 3769620   13013     6     13013 33.99347 -83.71181
## 7     13015  699012 3793410   13015     7     13015 34.23840 -84.83918
## 8     13017  863021 3520430       0     8     13017 31.75940 -83.21976
## 9     13019  859916 3466380       0     9     13019 31.27424 -83.23179
## 10    13021  809737 3636470   13021    10     13021 32.80451 -83.69915
## 11    13023  844270 3595690       0    11     13023 32.43552 -83.33121
## 12    13025  979289 3463850       0    12     13025 31.19702 -81.98323
## 13    13027  827822 3421640       0    13     13027 30.84653 -83.57726
## 14    13029 1023140 3554980       0    14     13029 32.02037 -81.43763
## 15    13103 1029710 3564920       0    14     13029 32.02037 -81.43763
## 16    13031  994903 3600490       0    15     13031 32.39071 -81.74391
## 17    13033  971594 3671390   13033    16     13033 33.05837 -81.99939
## 18    13035  782448 3684500   13035    17     13035 33.28834 -83.95713
## 19    13037  724741 3492650       0    18     13037 31.52793 -84.61891
## 20    13039 1008480 3437930       0    19     13039 30.91895 -81.63783
## 21    13043  964265 3598840       0    20     13043 32.40134 -82.07498
## 22    13045  678779 3713250   13045    21     13045 33.58276 -85.07903
## 23    13047  670056 3862320   13047    22     13047 34.90222 -85.13643
## 24    13049  962612 3432770       0    23     13049 30.77890 -82.13993
## 25    13051 1059710 3556750       0    24     13051 31.96840 -81.08524
## 26    13053  704959 3577610       0    25     13053 32.34755 -84.78780
## 27    13055  653027 3813760   13055    26     13055 34.47663 -85.34577
## 28    13057  734241 3794110   13057    27     13057 34.24453 -84.47430
## 29    13059  832509 3762910   13059    28     13059 33.95197 -83.36602
## 30    13061  695794 3495220       0    29     13061 31.62109 -84.99295
## 31    13063  745539 3711730   13063    30     13063 33.54255 -84.35703
## 32    13065  908046 3428340       0    31     13065 30.91758 -82.70284
## 33    13067  724647 3757190   13067    32     13067 33.94176 -84.57701
## 34    13069  894464 3492470       0    33     13069 31.54693 -82.85147
## 35    13071  808692 3455990       0    34     13071 31.18650 -83.76833
## 36    13073  942528 3722100   13073    35     13073 33.54858 -82.26123
## 37    13075  839816 3449010       0    36     13075 31.15478 -83.43077
## 38    13077  705458 3694340   13077    37     13077 33.35261 -84.76260
## 39    13079  783417 3623340   13079    38     13079 32.70982 -83.97968
## 40    13081  805648 3537100       0    39     13081 31.92540 -83.77159
## 41    13083  635964 3854590   13083    40     13083 34.85462 -85.50471
## 42    13085  764386 3812500   13085    41     13085 34.44001 -84.17119
## 43    13087  732628 3421800       0    42     13087 30.87876 -84.57963
## 44    13089  759232 3735250   13089    43     13089 33.77095 -84.22701
## 45    13091  860451 3569930       0    44     13091 32.17328 -83.16624
## 46    13093  800031 3564190       0    45     13093 32.16092 -83.79837
## 47    13095  764117 3494370       0    46     13095 31.53832 -84.21578
## 48    13097  707289 3731360   13097    47     13097 33.70030 -84.76729
## 49    13099  703495 3467150       0    48     13099 31.33042 -84.90920
## 50    13101  896654 3401150       0    49     13101 30.71670 -82.89896
## 51    13103 1031900 3596120       0    50     13103 32.37038 -81.34348
## 52    13105  879541 3785420   13105    51     13105 34.11500 -82.83977
## 53    13107  943066 3616600   13107    52     13107 32.58694 -82.30417
## 54    13109  981728 3571310       0    53     13109 32.15807 -81.89087
## 55    13111  739256 3866600   13111    54     13111 34.86415 -84.31928
## 56    13113  731469 3700610   13113    55     13113 33.41496 -84.49289
## 57    13115  662257 3789660   13115    56     13115 34.26330 -85.21503
## 58    13117  765397 3789000   13117    57     13117 34.22378 -84.12672
## 59    13119  845701 3813320   13119    58     13119 34.37329 -83.22767
## 60    13121  733728 3733250   13121    59     13121 33.78940 -84.46716
## 61    13123  732702 3844810   13123    60     13123 34.68824 -84.45786
## 62    13125  908387 3685750   13125    61     13125 33.23108 -82.60694
## 63    13127 1023410 3471060       0    62     13127 31.21695 -81.49423
## 64    13129  695325 3822130   13129    63     13129 34.50423 -84.87158
## 65    13131  765058 3421820       0    64     13131 30.87507 -84.23294
## 66    13133  855577 3722330   13133    65     13133 33.58125 -83.16757
## 67    13135  772635 3764310   13135    66     13135 33.95895 -84.02510
## 68    13137  818917 3839930   13137    67     13137 34.63045 -83.52933
## 69    13139  794420 3803340   13139    68     13139 34.31584 -83.82089
## 70    13141  873519 3689860   13141    69     13141 33.26958 -83.00084
## 71    13143  665934 3740620   13143    70     13143 33.79101 -85.20900
## 72    13145  695501 3624790   13145    71     13145 32.74074 -84.90607
## 73    13147  870750 3810300   13147    72     13147 34.35335 -82.95916
## 74    13149  675280 3685570   13149    73     13149 33.29966 -85.12921
## 75    13151  763488 3699720   13151    74     13151 33.45610 -84.15540
## 76    13153  814119 3590550       0    75     13153 32.45833 -83.66835
## 77    13155  855462 3506290       0    76     13155 31.60234 -83.27429
## 78    13157  815753 3783950   13157    77     13157 34.13332 -83.56274
## 79    13159  807249 3695090   13159    78     13159 33.31630 -83.68734
## 80    13161  915742 3530870       0    79     13161 31.80159 -82.63599
## 81    13271  911567 3539530       0    79     13161 31.80159 -82.63599
## 82    13163  924108 3668080   13163    80     13163 33.05398 -82.41530
## 83    13165  970466 3640260   13165    81     13165 32.78866 -81.96042
## 84    13167  908637 3624560   13167    82     13167 32.70222 -82.65617
## 85    13169  821367 3660140   13169    83     13169 33.02648 -83.56610
## 86    13171  766462 3663960   13171    84     13171 33.07300 -84.13522
## 87    13173  873804 3439980       0    85     13173 31.03705 -83.06327
## 88    13175  884830 3599290       0    86     13175 32.46285 -82.92951
## 89    13177  770456 3520160       0    87     13177 31.77659 -84.13731
## 90    13179 1014740 3537220       0    88     13179 31.80000 -81.46192
## 91    13181  919397 3752560   13181    89     13181 33.79269 -82.45213
## 92    13183 1004540 3517830       0    90     13183 31.75881 -81.74702
## 93    13185  864781 3419310       0    91     13185 30.83468 -83.26782
## 94    13027  852043 3394900       0    91     13185 30.83468 -83.26782
## 95    13187  772600 3832430   13187    92     13187 34.57450 -84.00225
## 96    13189  917731 3716370   13189    93     13189 33.47773 -82.48190
## 97    13191 1030500 3500530       0    94     13191 31.47999 -81.37239
## 98    13193  779180 3602440       0    95     13193 32.35407 -84.03763
## 99    13269  778908 3601440       0    95     13193 32.35407 -84.03763
## 100   13193  777055 3584820       0    95     13193 32.35407 -84.03763
## 101    <NA>  780397 3600530       0    95     13193 32.35407 -84.03763
## 102   13195  848639 3785410   13195    96     13195 34.12847 -83.20978
## 103   13119  836269 3793650   13119    96     13195 34.12847 -83.20978
## 104   13197  732877 3584390       0    97     13197 32.35272 -84.52615
## 105   13199  715360 3660280   13199    98     13199 33.04341 -84.68501
## 106   13201  716370 3451030       0    99     13201 31.16450 -84.72942
## 107   13205  766239 3453930       0   100     13205 31.22383 -84.19464
## 108   13207  790339 3660610   13207   101     13207 33.01281 -83.91312
## 109   13209  920887 3568470       0   102     13209 32.16757 -82.52981
## 110   13211  825920 3717990   13211   103     13211 33.59285 -83.49307
## 111   13213  707834 3854190   13213   104     13213 34.78193 -84.74823
## 112   13215  700834 3598230       0   105     13215 32.51071 -84.87497
## 113   13217  793264 3719730   13217   106     13217 33.55318 -83.84438
## 114   13219  830736 3750900   13219   107     13219 33.83733 -83.43728
## 115   13221  863292 3756780   13221   108     13221 33.88098 -83.08201
## 116   13223  695329 3758090   13223   109     13223 33.92253 -84.86584
## 117   13225  798061 3609090       0   110     13225 32.56372 -83.82774
## 118   13227  733847 3812830   13227   111     13227 34.46452 -84.46498
## 119   13229  953534 3482040       0   112     13229 31.35624 -82.21519
## 120   13077  732629 3678740   13077   113     13231 33.09090 -84.38639
## 121   13231  744181 3665560   13231   113     13231 33.09090 -84.38639
## 122   13233  668031 3764770   13233   114     13233 33.99916 -85.18202
## 123   13235  833820 3567450       0   115     13235 32.23708 -83.47360
## 124   13237  840169 3695250   13237   116     13237 33.32057 -83.37302
## 125   13239  686875 3524120       0   117     13239 31.85898 -85.01192
## 126   13241  824646 3864810   13241   118     13241 34.88129 -83.40143
## 127   13243  712437 3519630       0   119     13243 31.76276 -84.75803
## 128   13245  954272 3697860   13245   120     13245 33.35938 -82.07400
## 129   13245  973716 3700880   13245   120     13245 33.35938 -82.07400
## 130   13247  777759 3729600   13247   121     13247 33.65017 -84.02657
## 131   13247  777851 3717130   13247   121     13247 33.65017 -84.02657
## 132   13247  773675 3713550   13247   121     13247 33.65017 -84.02657
## 133   13249  752973 3570220       0   122     13249 32.26283 -84.32046
## 134   13251 1004030 3641920   13251   123     13251 32.74871 -81.61441
## 135    <NA> 1025040 3627230       0   123     13251 32.74871 -81.61441
## 136   13253  704496 3422000       0   124     13253 30.93315 -84.86705
## 137   13255  754916 3685030   13255   125     13255 33.26204 -84.28494
## 138   13257  842086 3827080   13257   126     13257 34.55581 -83.29396
## 139   13259  703257 3552860       0   127     13259 32.07813 -84.83704
## 140   13261  763457 3551750       0   128     13261 32.04234 -84.19643
## 141   13263  734218 3623160   13263   129     13263 32.70756 -84.52831
## 142   13265  884377 3717490   13265   130     13265 33.56681 -82.88324
## 143   13267  963428 3560040       0   131     13267 32.04266 -82.06064
## 144   13269  759411 3608180       0   132     13269 32.55433 -84.25144
## 145   13271  882069 3534470       0   133     13271 31.93476 -82.94098
## 146   13069  894123 3527090       0   133     13271 31.93476 -82.94098
## 147   13069  894099 3526640       0   133     13271 31.93476 -82.94098
## 148   13273  743032 3522640       0   134     13273 31.77555 -84.43589
## 149   13275  795506 3421720       0   135     13275 30.86482 -83.91853
## 150   13277  831682 3487720       0   136     13277 31.45664 -83.52609
## 151   13279  941734 3567590       0   137     13279 32.12311 -82.33542
## 152   13281  797982 3872640   13281   138     13281 34.91864 -83.73908
## 153   13283  919078 3595170       0   139     13283 32.40461 -82.56510
## 154   13285  682617 3660250   13285   140     13285 33.03331 -85.02819
## 155   13287  819400 3514930       0   141     13287 31.71623 -83.62740
## 156   13289  832935 3623870   13289   142     13289 32.66598 -83.42609
## 157   13291  777040 3858780   13291   143     13291 34.83436 -83.99088
## 158   13293  752165 3639190   13293   144     13293 32.87929 -84.29827
## 159   13295  658870 3842170   13295   145     13295 34.73090 -85.29630
## 160   13297  800384 3742690   13297   146     13297 33.78311 -83.73768
## 161   13299  938350 3446680       0   147     13299 31.05156 -82.42208
## 162   13301  902471 3699880   13301   148     13301 33.40820 -82.67637
## 163   13303  894704 3648580   13303   149     13303 32.96775 -82.79487
## 164   13305  986833 3494320       0   150     13305 31.54758 -81.91326
## 165   13307  731576 3544720       0   151     13307 32.04852 -84.55046
## 166   13309  898776 3563380       0   152     13309 32.12226 -82.71677
## 167   13271  882901 3562970       0   152     13309 32.12226 -82.71677
## 168   13311  796906 3841090   13311   153     13311 34.64537 -83.75252
## 169   13313  686891 3855270   13313   154     13313 34.80497 -84.96616
## 170   13315  838552 3538550       0   155     13315 31.97034 -83.43574
## 171   13317  891229 3749770   13317   156     13317 33.78664 -82.74436
## 172   13319  858797 3637890   13319   157     13319 32.79853 -83.16759
## 173   13321  801018 3487330       0   158     13321 31.55269 -83.84816
##     TotPop90 PctRural PctBach PctEld PctFB PctPov PctBlack  ID         X
## 0      15744     75.6     8.2  11.43  0.64   19.9    20.76 133  941396.6
## 1       6213    100.0     6.4  11.77  1.58   26.0    26.86 158  895553.0
## 2       9566     61.7     6.6  11.11  0.27   24.1    15.42 146  930946.4
## 3       3615    100.0     9.4  13.17  0.11   24.8    51.67 155  745398.6
## 4      39530     42.7    13.3   8.64  1.43   17.5    42.39  79  849431.3
## 5      10308    100.0     6.4  11.37  0.34   15.1     3.49  23  819317.3
## 6      29721     64.6     9.2  10.63  0.92   14.7    11.44  33  803747.1
## 7      55911     75.2     9.0   9.66  0.82   10.7     9.21  24  699011.5
## 8      16245     47.0     7.6  12.81  0.33   22.0    31.33 138  863020.8
## 9      14153     66.2     7.5  11.98  1.19   19.3    11.62 153  859915.8
## 10    149967     16.1    17.0  12.23  1.06   19.2    41.68  85  809736.9
## 11     10430     57.9    10.3  12.60  0.64   18.3    22.36 100  844270.1
## 12     11077    100.0     5.8   9.02  0.33   18.2     4.58 159  979288.9
## 13     15398     65.6     9.1  13.68  1.76   25.9    41.47 169  827822.0
## 14     15438     80.6    11.8   7.22  0.45   13.2    14.85 118 1023145.0
## 15     15438     80.6    11.8   7.22  0.45   13.2    14.85 118 1023145.0
## 16     43125     63.2    19.9   9.56  1.16   27.5    25.95  97  994903.4
## 17     20579     72.3     9.6  10.60  0.43   30.3    52.19  71  971593.8
## 18     15326     73.4     7.2  10.41  0.72   15.6    35.48  65  782448.2
## 19      5013    100.0    10.1  15.94  0.10   31.8    58.89 149  724741.2
## 20     30167     47.1    13.5   4.78  2.14   11.5    20.19 165 1008480.0
## 21      7744     52.1     9.9  13.80  0.96   24.1    30.94 102  964264.9
## 22     71422     68.5    12.0   9.66  0.85   14.4    15.46  46  678778.6
## 23     42464     43.6     8.1  10.73  0.39   12.0     0.91   5  670055.9
## 24      8496    100.0     6.4   9.66  0.42   18.3    27.05 170  962612.3
## 25    216935      5.1    18.6  12.07  2.05   17.2    38.02 119 1059706.0
## 26     16934     13.7    20.2   1.46  6.74   10.4    30.94 103  704959.2
## 27     22242     77.4     5.9  14.22  0.11   14.6     8.61  17  653026.6
## 28     90204     57.8    18.4   6.71  1.57    6.1     1.77  25  734240.9
## 29     87594     17.6    37.5   8.04  4.47   27.0    26.23  38  832508.6
## 30      3364    100.0    11.2  16.62  0.45   35.7    60.76 144  695793.9
## 31    182052      4.4    14.7   5.55  4.23    8.6    23.82  54  745538.8
## 32      6160     58.6     6.7  10.52  0.11   26.4    27.29 164  908046.1
## 33    447745      5.8    33.0   6.08  4.12    5.6     9.84  36  724646.8
## 34     29592     64.6    11.1  10.52  1.49   22.5    25.46 143  894463.9
## 35     36645     59.4    10.0  13.22  3.01   22.8    24.16 161  808691.8
## 36     66031     30.6    23.9   5.50  3.49    6.6    10.93  52  942527.9
## 37     13456     62.0     6.5  13.14  1.89   22.4    29.94 160  839816.1
## 38     53853     76.1    13.3   9.85  0.80   11.4    22.59  62  705457.9
## 39      8991    100.0     5.7   9.21  1.01   14.0    30.66  89  783416.5
## 40     20011     48.4    10.0  12.47  0.30   29.0    40.66 128  805648.4
## 41     13147     96.5     8.0  10.35  0.75   14.6     0.35   9  635964.3
## 42      9429    100.0     8.6   8.89  0.59   12.8     0.29  16  764386.1
## 43     25511     58.0    11.7  13.02  1.54   23.3    39.47 166  732628.4
## 44    545837      2.5    32.7   8.13  6.69    9.9    42.23  41  759231.9
## 45     17607     70.7     8.0  13.13  0.34   21.8    27.64 109  860451.4
## 46      9901     72.6     9.5  13.76  0.50   32.9    48.98 116  800031.3
## 47     96311     10.0    17.0   9.66  0.94   24.4    50.15 148  764116.9
## 48     71120     26.7    12.0   6.68  1.34    6.6     7.63  47  707288.7
## 49     11854     52.8     9.4  14.86  0.24   31.4    44.09 152  703495.1
## 50      2334    100.0     4.7   9.77  1.63   14.6    11.48 173  896654.0
## 51     25687     89.1     7.6   7.87  0.69   12.7    14.03  99 1031899.0
## 52     18949     70.0     8.0  13.78  0.84   19.7    29.99  28  879541.2
## 53     20546     64.2     9.1  13.32  0.41   25.7    32.58  90  943066.2
## 54      8724    100.0     8.6  13.00  0.48   25.4    33.88 117  981727.8
## 55     15992    100.0     7.8  17.30  0.58   17.2     0.03   4  739255.8
## 56     62415     53.9    25.8   6.99  2.85    2.6     5.13  58  731468.7
## 57     81251     36.1    13.7  13.84  1.09   13.6    13.56  18  662257.4
## 58     44083     93.7    15.6   8.38  1.17    6.8     0.00  26  765397.3
## 59     16650     87.2     9.5  14.59  0.44   16.5     9.89  20  845701.3
## 60    648951      4.2    31.6   9.63  4.13   18.4    49.92  31  733728.4
## 61     13368    100.0     8.6  12.91  0.45   16.6     0.26  10  732702.3
## 62      2357    100.0     5.3  13.28  0.42   16.8    12.69  69  908386.8
## 63     62496     20.3    19.9  13.20  1.37   14.3    25.57 156 1023411.0
## 64     35072     79.7     9.2  10.09  0.64   11.1     3.78  15  695325.1
## 65     20279     55.4     7.7  13.84  0.74   22.3    31.50 167  765058.1
## 66     11793     75.7     8.8  13.49  0.50   25.1    49.89  49  855577.3
## 67    352910     13.6    29.6   4.51  5.05    4.0     5.11  32  772634.6
## 68     27621     88.5    12.0  12.31  2.92   11.6     5.42  11  818917.1
## 69     95428     81.1    15.4  10.25  4.60   10.6     8.48  21  794419.5
## 70      8908    100.0     6.8  12.39  0.27   30.1    79.64  64  873518.8
## 71     21966     67.8     7.5  12.62  0.69   14.4     6.47  44  665933.8
## 72     17788     95.8    13.6  13.00  1.11   13.7    25.49  88  695500.6
## 73     19712     73.8     9.1  15.08  0.32   14.2    20.41  22  870749.9
## 74      8628    100.0     5.7  12.03  0.35   19.1    13.38  66  675280.4
## 75     58741     76.0    10.7   7.77  0.98    6.1    10.24  55  763488.4
## 76     89208     20.9    16.0   7.30  2.25   10.6    21.80  95  814118.9
## 77      8649     63.4     8.3  14.45  0.15   27.2    30.50 145  855461.8
## 78     30005     78.0     9.0  11.23  0.62   14.1     9.58  27  815753.1
## 79      8453    100.0    10.8  13.12  0.99   17.4    34.80  61  807249.1
## 80     12032     65.1     8.3  10.53  0.64   18.8    15.36 131  915741.9
## 81     12032     65.1     8.3  10.53  0.64   18.8    15.36 131  915741.9
## 82     17408    100.0     6.2  13.36  0.40   31.3    55.92  70  924108.1
## 83      8247     53.8     7.7  13.10  0.21   27.8    41.51  84  970465.7
## 84      8329    100.0     4.9  13.86  0.29   22.2    33.89  91  908636.7
## 85     20739     81.9    12.0   8.54  0.52   10.8    25.60  80  821367.1
## 86     13038     63.6    10.0  12.62  0.34   16.3    34.03  77  766461.7
## 87      5531    100.0     5.4  10.83  0.85   25.9    26.58 163  873804.3
## 88     39988     52.9    12.0  12.39  0.49   20.5    33.32  93  884830.4
## 89     16250     78.2    13.7   6.50  0.70   12.6    19.22 136  770455.5
## 90     52745     32.9    13.4   3.38  3.85   17.2    39.15 127 1014742.0
## 91      7442    100.0     8.2  14.27  0.26   17.8    38.19  40  919396.5
## 92      6202    100.0     5.2   8.53  2.02   23.7    21.75 129 1004544.0
## 93     75981     47.6    16.3   8.99  1.53   19.9    31.88 172  864781.1
## 94     75981     47.6    16.3   8.99  1.53   19.9    31.88 172  864781.1
## 95     14573     78.6    11.1   9.29  0.76   15.3     1.41  13  772600.0
## 96     20119     65.9    10.4  11.16  0.22   21.6    36.38  53  917730.9
## 97      8634    100.0     8.7  12.80  0.27   22.3    43.34 147 1030500.0
## 98     13114     65.6    10.1  12.05  0.98   29.2    58.72 105  777055.3
## 99     13114     65.6    10.1  12.05  0.98   29.2    58.72 105  777055.3
## 100    13114     65.6    10.1  12.05  0.98   29.2    58.72 105  777055.3
## 101    13114     65.6    10.1  12.05  0.98   29.2    58.72 105  777055.3
## 102    21050    100.0     9.7  10.98  0.81   15.7     8.32  29  848638.8
## 103    21050    100.0     9.7  10.98  0.81   15.7     8.32  29  848638.8
## 104     5590    100.0     4.6  12.02  0.43   28.2    41.32 101  732876.8
## 105    22411     82.3     6.7  12.79  0.31   22.4    44.62  73  715359.8
## 106     6280    100.0     8.2  15.16  0.41   22.1    27.48 162  716369.8
## 107    20275     56.2     7.8  12.31  0.58   28.7    47.91 157  766238.6
## 108    17113     75.1    12.9   9.60  0.93   13.8    31.78  78  790338.7
## 109     7163     98.6    10.1  12.26  1.44   24.5    28.27 112  920887.4
## 110    12883     73.0    11.0  12.69  0.83   15.0    34.74  45  825920.1
## 111    26147     89.0     5.5   7.69  0.50   11.3     0.26   3  707834.3
## 112   179278      3.2    16.6  10.31  3.40   18.6    37.95  98  700833.7
## 113    41808     76.0     9.5  10.14  0.78   14.4    22.35  50  793263.9
## 114    17618     95.2    28.4   8.67  0.98    7.9     7.37  42  830735.9
## 115     9763    100.0    12.8  11.37  0.62   16.2    24.74  37  863291.8
## 116    41611     93.7     7.6   7.12  0.66    8.8     3.94  35  695329.2
## 117    21189     61.3    15.2  10.03  1.62   24.0    47.53  94  798061.4
## 118    14432    100.0     9.0  12.44  0.20   12.8     1.48  19  733846.7
## 119    13328     74.4     6.3  11.07  0.70   21.3    11.69 151  953533.8
## 120    10224    100.0     9.3  11.94  0.82   13.4    20.04  76  744180.8
## 121    10224    100.0     9.3  11.94  0.82   13.4    20.04  76  744180.8
## 122    33815     66.5     6.8  13.72  0.95   16.3    14.30  34  668031.4
## 123     8108     56.5    10.7  14.15  1.76   24.3    32.46 111  833819.6
## 124    14137     66.5    11.7  11.61  1.85   16.4    32.79  63  840169.1
## 125     2209    100.0     7.3  17.07  0.95   33.0    49.93 130  686875.4
## 126    11648    100.0    11.6  17.18  1.13   13.6     0.35   1  824645.5
## 127     8023     53.5     6.0  16.08  0.86   35.9    58.17 134  712437.1
## 128   189719      9.9    17.3   9.35  3.01   18.2    41.96  59  954272.3
## 129   189719      9.9    17.3   9.35  3.01   18.2    41.96  59  954272.3
## 130    54091     59.2    18.1   7.64  2.01    6.2     8.03  48  777759.0
## 131    54091     59.2    18.1   7.64  2.01    6.2     8.03  48  777759.0
## 132    54091     59.2    18.1   7.64  2.01    6.2     8.03  48  777759.0
## 133     3588    100.0     8.0  13.38  0.25   19.9    34.09 110  752973.1
## 134    13842     79.3     8.6  14.02  0.61   22.9    44.69  81 1004028.0
## 135    13842     79.3     8.6  14.02  0.61   22.9    44.69  81 1004028.0
## 136     9010     69.4     7.8  14.20  5.69   29.1    32.74 171  704495.6
## 137    54457     53.6    11.1  11.12  0.77   15.6    29.08  67  754916.2
## 138    23257     64.5    13.1  14.88  1.09   17.0    11.81  14  842085.9
## 139     5654    100.0     8.0  16.29  0.16   31.4    63.46 120  703256.8
## 140    30228     45.4    15.9  11.45  0.59   24.8    46.53 122  763457.1
## 141     6524     97.9     7.1  13.50  0.34   24.9    62.34  87  734217.9
## 142     1915    100.0     5.6  19.22  0.78   31.9    61.36  51  884376.9
## 143    17722     79.3     6.5  12.50  2.05   21.9    29.19 114  963427.8
## 144     7642    100.0     7.1  14.43  0.48   29.5    43.21  92  759410.8
## 145    11000     72.6     8.6  16.25  0.04   27.3    34.45 125  882069.4
## 146    11000     72.6     8.6  16.25  0.04   27.3    34.45 125  882069.4
## 147    11000     72.6     8.6  16.25  0.04   27.3    34.45 125  882069.4
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  1. Start with a multiple regression model using all six explanatory variables listed above. Create a final model by removing variables that are not significant in explaining percentage of bachelor degrees. (10)
Georgia = lm(PctBach ~ TotPop90 + PctRural + PctEld + PctFB + PctPov + PctBlack, data = spdf)
summary(Georgia)
## 
## Call:
## lm(formula = PctBach ~ TotPop90 + PctRural + PctEld + PctFB + 
##     PctPov + PctBlack, data = spdf)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -2.501e-14  0.000e+00  0.000e+00  0.000e+00  2.501e-14 
## 
## Coefficients: (5 not defined because of singularities)
##                  Estimate Std. Error    t value Pr(>|t|)    
## (Intercept)     9.300e+00  8.959e-15  1.038e+15   <2e-16 ***
## TotPop9010228  -5.000e-01  1.552e-14 -3.222e+13   <2e-16 ***
## TotPop9010308  -2.900e+00  1.552e-14 -1.869e+14   <2e-16 ***
## TotPop9010430   1.000e+00  1.552e-14  6.444e+13   <2e-16 ***
## TotPop9010597   1.100e+00  1.552e-14  7.089e+13   <2e-16 ***
## TotPop9010653  -1.000e-01  1.552e-14 -6.444e+12   <2e-16 ***
## TotPop9011000  -7.000e-01  1.157e-14 -6.052e+13   <2e-16 ***
## TotPop9011077  -3.500e+00  1.552e-14 -2.255e+14   <2e-16 ***
## TotPop9011648   2.300e+00  1.552e-14  1.482e+14   <2e-16 ***
## TotPop9011793  -5.000e-01  1.552e-14 -3.222e+13   <2e-16 ***
## TotPop9011854   1.000e-01  1.552e-14  6.444e+12   <2e-16 ***
## TotPop9011993   8.000e-01  1.552e-14  5.155e+13   <2e-16 ***
## TotPop9012032  -1.000e+00  1.267e-14 -7.893e+13   <2e-16 ***
## TotPop9012883   1.700e+00  1.552e-14  1.096e+14   <2e-16 ***
## TotPop9013006   4.300e+00  1.552e-14  2.771e+14   <2e-16 ***
## TotPop9013038   7.000e-01  1.552e-14  4.511e+13   <2e-16 ***
## TotPop9013114   8.000e-01  1.097e-14  7.291e+13   <2e-16 ***
## TotPop9013147  -1.300e+00  1.552e-14 -8.377e+13   <2e-16 ***
## TotPop9013328  -3.000e+00  1.552e-14 -1.933e+14   <2e-16 ***
## TotPop9013368  -7.000e-01  1.552e-14 -4.511e+13   <2e-16 ***
## TotPop9013456  -2.800e+00  1.552e-14 -1.804e+14   <2e-16 ***
## TotPop9013842  -7.000e-01  1.267e-14 -5.525e+13   <2e-16 ***
## TotPop9014137   2.400e+00  1.552e-14  1.547e+14   <2e-16 ***
## TotPop9014153  -1.800e+00  1.552e-14 -1.160e+14   <2e-16 ***
## TotPop9014432  -3.000e-01  1.552e-14 -1.933e+13   <2e-16 ***
## TotPop9014573   1.800e+00  1.552e-14  1.160e+14   <2e-16 ***
## TotPop90149967  7.700e+00  1.552e-14  4.962e+14   <2e-16 ***
## TotPop9015326  -2.100e+00  1.552e-14 -1.353e+14   <2e-16 ***
## TotPop9015398  -2.000e-01  1.552e-14 -1.289e+13   <2e-16 ***
## TotPop9015438   2.500e+00  1.267e-14  1.973e+14   <2e-16 ***
## TotPop9015744  -1.100e+00  1.552e-14 -7.089e+13   <2e-16 ***
## TotPop9015992  -1.500e+00  1.552e-14 -9.666e+13   <2e-16 ***
## TotPop9016245  -1.700e+00  1.552e-14 -1.096e+14   <2e-16 ***
## TotPop9016250   4.400e+00  1.552e-14  2.835e+14   <2e-16 ***
## TotPop9016650   2.000e-01  1.552e-14  1.289e+13   <2e-16 ***
## TotPop9016934   1.090e+01  1.552e-14  7.024e+14   <2e-16 ***
## TotPop9017113   3.600e+00  1.552e-14  2.320e+14   <2e-16 ***
## TotPop9017408  -3.100e+00  1.552e-14 -1.998e+14   <2e-16 ***
## TotPop9017607  -1.300e+00  1.552e-14 -8.377e+13   <2e-16 ***
## TotPop9017618   1.910e+01  1.552e-14  1.231e+15   <2e-16 ***
## TotPop9017722  -2.800e+00  1.552e-14 -1.804e+14   <2e-16 ***
## TotPop9017788   4.300e+00  1.552e-14  2.771e+14   <2e-16 ***
## TotPop90179278  7.300e+00  1.552e-14  4.704e+14   <2e-16 ***
## TotPop90182052  5.400e+00  1.552e-14  3.480e+14   <2e-16 ***
## TotPop9018949  -1.300e+00  1.552e-14 -8.377e+13   <2e-16 ***
## TotPop90189719  8.000e+00  1.267e-14  6.314e+14   <2e-16 ***
## TotPop9019112   5.000e-01  1.552e-14  3.222e+13   <2e-16 ***
## TotPop901915   -3.700e+00  1.552e-14 -2.384e+14   <2e-16 ***
## TotPop9019712  -2.000e-01  1.552e-14 -1.289e+13   <2e-16 ***
## TotPop9019745  -3.000e+00  1.552e-14 -1.933e+14   <2e-16 ***
## TotPop9020011   7.000e-01  1.552e-14  4.511e+13   <2e-16 ***
## TotPop9020119   1.100e+00  1.552e-14  7.089e+13   <2e-16 ***
## TotPop9020275  -1.500e+00  1.552e-14 -9.666e+13   <2e-16 ***
## TotPop9020279  -1.600e+00  1.552e-14 -1.031e+14   <2e-16 ***
## TotPop9020546  -2.000e-01  1.552e-14 -1.289e+13   <2e-16 ***
## TotPop9020579   3.000e-01  1.552e-14  1.933e+13   <2e-16 ***
## TotPop9020739   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop9021050   4.000e-01  1.267e-14  3.157e+13   <2e-16 ***
## TotPop9021189   5.900e+00  1.552e-14  3.802e+14   <2e-16 ***
## TotPop90216935  9.300e+00  1.552e-14  5.993e+14   <2e-16 ***
## TotPop9021966  -1.800e+00  1.552e-14 -1.160e+14   <2e-16 ***
## TotPop902209   -2.000e+00  1.552e-14 -1.289e+14   <2e-16 ***
## TotPop9022242  -3.400e+00  1.552e-14 -2.191e+14   <2e-16 ***
## TotPop9022356   3.000e-01  1.552e-14  1.933e+13   <2e-16 ***
## TotPop9022411  -2.600e+00  1.552e-14 -1.675e+14   <2e-16 ***
## TotPop902263   -3.800e+00  1.552e-14 -2.449e+14   <2e-16 ***
## TotPop9023257   3.800e+00  1.552e-14  2.449e+14   <2e-16 ***
## TotPop902334   -4.600e+00  1.552e-14 -2.964e+14   <2e-16 ***
## TotPop902357   -4.000e+00  1.552e-14 -2.578e+14   <2e-16 ***
## TotPop9024072   2.100e+00  1.552e-14  1.353e+14   <2e-16 ***
## TotPop9025511   2.400e+00  1.552e-14  1.547e+14   <2e-16 ***
## TotPop9025687  -1.700e+00  1.552e-14 -1.096e+14   <2e-16 ***
## TotPop9026147  -3.800e+00  1.552e-14 -2.449e+14   <2e-16 ***
## TotPop9026300  -3.000e-01  1.552e-14 -1.933e+13   <2e-16 ***
## TotPop9027621   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop9029592   1.800e+00  1.552e-14  1.160e+14   <2e-16 ***
## TotPop9029721  -1.000e-01  1.552e-14 -6.444e+12   <2e-16 ***
## TotPop9030005  -3.000e-01  1.552e-14 -1.933e+13   <2e-16 ***
## TotPop9030167   4.200e+00  1.552e-14  2.707e+14   <2e-16 ***
## TotPop9030228   6.600e+00  1.552e-14  4.253e+14   <2e-16 ***
## TotPop903364    1.900e+00  1.552e-14  1.224e+14   <2e-16 ***
## TotPop9033815  -2.500e+00  1.552e-14 -1.611e+14   <2e-16 ***
## TotPop9034998   4.700e+00  1.552e-14  3.029e+14   <2e-16 ***
## TotPop9035072  -1.000e-01  1.552e-14 -6.444e+12   <2e-16 ***
## TotPop90352910  2.030e+01  1.552e-14  1.308e+15   <2e-16 ***
## TotPop9035471   1.100e+00  1.552e-14  7.089e+13   <2e-16 ***
## TotPop903588   -1.300e+00  1.552e-14 -8.377e+13   <2e-16 ***
## TotPop903615    1.000e-01  1.552e-14  6.444e+12   <2e-16 ***
## TotPop9036645   7.000e-01  1.552e-14  4.511e+13   <2e-16 ***
## TotPop9038586   1.000e-01  1.552e-14  6.444e+12   <2e-16 ***
## TotPop9038986   4.100e+00  1.552e-14  2.642e+14   <2e-16 ***
## TotPop9039530   4.000e+00  1.552e-14  2.578e+14   <2e-16 ***
## TotPop9039988   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop9041611  -1.700e+00  1.552e-14 -1.096e+14   <2e-16 ***
## TotPop9041808   2.000e-01  1.552e-14  1.289e+13   <2e-16 ***
## TotPop9042464  -1.200e+00  1.552e-14 -7.733e+13   <2e-16 ***
## TotPop9043125   1.060e+01  1.552e-14  6.831e+14   <2e-16 ***
## TotPop9044083   6.300e+00  1.552e-14  4.060e+14   <2e-16 ***
## TotPop90447745  2.370e+01  1.552e-14  1.527e+15   <2e-16 ***
## TotPop904903   -7.000e-01  1.267e-14 -5.525e+13   <2e-16 ***
## TotPop905013    8.000e-01  1.552e-14  5.155e+13   <2e-16 ***
## TotPop9052745   4.100e+00  1.552e-14  2.642e+14   <2e-16 ***
## TotPop9053853   4.000e+00  1.552e-14  2.578e+14   <2e-16 ***
## TotPop9054091   8.800e+00  1.157e-14  7.608e+14   <2e-16 ***
## TotPop9054457   1.800e+00  1.552e-14  1.160e+14   <2e-16 ***
## TotPop90545837  2.340e+01  1.552e-14  1.508e+15   <2e-16 ***
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## TotPop906202   -4.100e+00  1.552e-14 -2.642e+14   <2e-16 ***
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## TotPop9062496   1.060e+01  1.552e-14  6.831e+14   <2e-16 ***
## TotPop906280   -1.100e+00  1.552e-14 -7.089e+13   <2e-16 ***
## TotPop90648951  2.230e+01  1.552e-14  1.437e+15   <2e-16 ***
## TotPop906524   -2.200e+00  1.552e-14 -1.418e+14   <2e-16 ***
## TotPop9066031   1.460e+01  1.552e-14  9.409e+14   <2e-16 ***
## TotPop906754    2.100e+00  1.552e-14  1.353e+14   <2e-16 ***
## TotPop907008   -1.700e+00  1.552e-14 -1.096e+14   <2e-16 ***
## TotPop9071120   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop9071422   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop907163    8.000e-01  1.552e-14  5.155e+13   <2e-16 ***
## TotPop9072462   2.700e+00  1.552e-14  1.740e+14   <2e-16 ***
## TotPop907442   -1.100e+00  1.552e-14 -7.089e+13   <2e-16 ***
## TotPop9075981   7.000e+00  1.267e-14  5.525e+14   <2e-16 ***
## TotPop907642   -2.200e+00  1.552e-14 -1.418e+14   <2e-16 ***
## TotPop907744    6.000e-01  1.552e-14  3.867e+13   <2e-16 ***
## TotPop908023   -3.300e+00  1.552e-14 -2.127e+14   <2e-16 ***
## TotPop908108    1.400e+00  1.552e-14  9.022e+13   <2e-16 ***
## TotPop9081251   4.400e+00  1.552e-14  2.835e+14   <2e-16 ***
## TotPop908247   -1.600e+00  1.552e-14 -1.031e+14   <2e-16 ***
## TotPop908329   -4.400e+00  1.552e-14 -2.835e+14   <2e-16 ***
## TotPop908453    1.500e+00  1.552e-14  9.666e+13   <2e-16 ***
## TotPop908496   -2.900e+00  1.552e-14 -1.869e+14   <2e-16 ***
## TotPop908628   -3.600e+00  1.552e-14 -2.320e+14   <2e-16 ***
## TotPop908634   -6.000e-01  1.552e-14 -3.867e+13   <2e-16 ***
## TotPop908649   -1.000e+00  1.552e-14 -6.444e+13   <2e-16 ***
## TotPop908703   -2.100e+00  1.552e-14 -1.353e+14   <2e-16 ***
## TotPop908724   -7.000e-01  1.552e-14 -4.511e+13   <2e-16 ***
## TotPop9087594   2.820e+01  1.552e-14  1.817e+15   <2e-16 ***
## TotPop908908   -2.500e+00  1.552e-14 -1.611e+14   <2e-16 ***
## TotPop9089208   6.700e+00  1.552e-14  4.318e+14   <2e-16 ***
## TotPop908991   -3.600e+00  1.552e-14 -2.320e+14   <2e-16 ***
## TotPop909010   -1.500e+00  1.552e-14 -9.666e+13   <2e-16 ***
## TotPop9090204   9.100e+00  1.552e-14  5.864e+14   <2e-16 ***
## TotPop909429   -7.000e-01  1.552e-14 -4.511e+13   <2e-16 ***
## TotPop9095428   6.100e+00  1.552e-14  3.931e+14   <2e-16 ***
## TotPop909566   -2.700e+00  1.552e-14 -1.740e+14   <2e-16 ***
## TotPop9096311   7.700e+00  1.552e-14  4.962e+14   <2e-16 ***
## TotPop909763    3.500e+00  1.552e-14  2.255e+14   <2e-16 ***
## TotPop909806   -4.500e+00  1.552e-14 -2.900e+14   <2e-16 ***
## TotPop909901    2.000e-01  1.552e-14  1.289e+13   <2e-16 ***
## PctRural               NA         NA         NA       NA    
## PctEld                 NA         NA         NA       NA    
## PctFB                  NA         NA         NA       NA    
## PctPov                 NA         NA         NA       NA    
## PctBlack               NA         NA         NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.267e-14 on 15 degrees of freedom
## Multiple R-squared:      1,  Adjusted R-squared:      1 
## F-statistic: 2.103e+29 on 158 and 15 DF,  p-value: < 2.2e-16
Georgia2 = lm(PctBach ~ TotPop90, data = spdf)
Georgia2
## 
## Call:
## lm(formula = PctBach ~ TotPop90, data = spdf)
## 
## Coefficients:
##    (Intercept)   TotPop9010228   TotPop9010308   TotPop9010430  
##            9.3            -0.5            -2.9             1.0  
##  TotPop9010597   TotPop9010653   TotPop9011000   TotPop9011077  
##            1.1            -0.1            -0.7            -3.5  
##  TotPop9011648   TotPop9011793   TotPop9011854   TotPop9011993  
##            2.3            -0.5             0.1             0.8  
##  TotPop9012032   TotPop9012883   TotPop9013006   TotPop9013038  
##           -1.0             1.7             4.3             0.7  
##  TotPop9013114   TotPop9013147   TotPop9013328   TotPop9013368  
##            0.8            -1.3            -3.0            -0.7  
##  TotPop9013456   TotPop9013842   TotPop9014137   TotPop9014153  
##           -2.8            -0.7             2.4            -1.8  
##  TotPop9014432   TotPop9014573  TotPop90149967   TotPop9015326  
##           -0.3             1.8             7.7            -2.1  
##  TotPop9015398   TotPop9015438   TotPop9015744   TotPop9015992  
##           -0.2             2.5            -1.1            -1.5  
##  TotPop9016245   TotPop9016250   TotPop9016650   TotPop9016934  
##           -1.7             4.4             0.2            10.9  
##  TotPop9017113   TotPop9017408   TotPop9017607   TotPop9017618  
##            3.6            -3.1            -1.3            19.1  
##  TotPop9017722   TotPop9017788  TotPop90179278  TotPop90182052  
##           -2.8             4.3             7.3             5.4  
##  TotPop9018949  TotPop90189719   TotPop9019112    TotPop901915  
##           -1.3             8.0             0.5            -3.7  
##  TotPop9019712   TotPop9019745   TotPop9020011   TotPop9020119  
##           -0.2            -3.0             0.7             1.1  
##  TotPop9020275   TotPop9020279   TotPop9020546   TotPop9020579  
##           -1.5            -1.6            -0.2             0.3  
##  TotPop9020739   TotPop9021050   TotPop9021189  TotPop90216935  
##            2.7             0.4             5.9             9.3  
##  TotPop9021966    TotPop902209   TotPop9022242   TotPop9022356  
##           -1.8            -2.0            -3.4             0.3  
##  TotPop9022411    TotPop902263   TotPop9023257    TotPop902334  
##           -2.6            -3.8             3.8            -4.6  
##   TotPop902357   TotPop9024072   TotPop9025511   TotPop9025687  
##           -4.0             2.1             2.4            -1.7  
##  TotPop9026147   TotPop9026300   TotPop9027621   TotPop9029592  
##           -3.8            -0.3             2.7             1.8  
##  TotPop9029721   TotPop9030005   TotPop9030167   TotPop9030228  
##           -0.1            -0.3             4.2             6.6  
##   TotPop903364   TotPop9033815   TotPop9034998   TotPop9035072  
##            1.9            -2.5             4.7            -0.1  
## TotPop90352910   TotPop9035471    TotPop903588    TotPop903615  
##           20.3             1.1            -1.3             0.1  
##  TotPop9036645   TotPop9038586   TotPop9038986   TotPop9039530  
##            0.7             0.1             4.1             4.0  
##  TotPop9039988   TotPop9041611   TotPop9041808   TotPop9042464  
##            2.7            -1.7             0.2            -1.2  
##  TotPop9043125   TotPop9044083  TotPop90447745    TotPop904903  
##           10.6             6.3            23.7            -0.7  
##   TotPop905013   TotPop9052745   TotPop9053853   TotPop9054091  
##            0.8             4.1             4.0             8.8  
##  TotPop9054457  TotPop90545837    TotPop905531   TotPop9055536  
##            1.8            23.4            -3.9             4.3  
##   TotPop905590   TotPop9055911    TotPop905654   TotPop9058340  
##           -4.7            -0.3            -1.3            -0.9  
##  TotPop9058741    TotPop905994    TotPop906078    TotPop906160  
##            1.4            -3.0            -5.1            -2.6  
##   TotPop906202    TotPop906213   TotPop9062415   TotPop9062496  
##           -4.1            -2.9            16.5            10.6  
##   TotPop906280  TotPop90648951    TotPop906524   TotPop9066031  
##           -1.1            22.3            -2.2            14.6  
##   TotPop906754    TotPop907008   TotPop9071120   TotPop9071422  
##            2.1            -1.7             2.7             2.7  
##   TotPop907163   TotPop9072462    TotPop907442   TotPop9075981  
##            0.8             2.7            -1.1             7.0  
##   TotPop907642    TotPop907744    TotPop908023    TotPop908108  
##           -2.2             0.6            -3.3             1.4  
##  TotPop9081251    TotPop908247    TotPop908329    TotPop908453  
##            4.4            -1.6            -4.4             1.5  
##   TotPop908496    TotPop908628    TotPop908634    TotPop908649  
##           -2.9            -3.6            -0.6            -1.0  
##   TotPop908703    TotPop908724   TotPop9087594    TotPop908908  
##           -2.1            -0.7            28.2            -2.5  
##  TotPop9089208    TotPop908991    TotPop909010   TotPop9090204  
##            6.7            -3.6            -1.5             9.1  
##   TotPop909429   TotPop9095428    TotPop909566   TotPop9096311  
##           -0.7             6.1            -2.7             7.7  
##   TotPop909763    TotPop909806    TotPop909901  
##            3.5            -4.5             0.2
  1. Use the significant explanatory variables and create a geographic regression model using a fixed bandwidth. Plot a choropleth map of the predictions from the model. (10)
spplot(spdf, "PctBach")

  1. Make a choropleth map of the percent poverty coefficients. (10)
spplot(spdf, "PctPov")

  1. Make a choropleth map of the R squared values. (10).
summary(Georgia$r.squarred)
## Length  Class   Mode 
##      0   NULL   NULL