Overview
Our goal is to explore, analyze and model a data set containing information on approximately 12,000 commercially available wines. The variables are mostly related to the chemical properties of the wine being sold. The response variable is the number of sample cases of wine that were purchased by wine distribution companies after sampling a wine. These cases would be used to provide tasting samples to restaurants and wine stores around the United States. The more sample cases purchased, the more likely is a wine to be sold at a high end restaurant. A large wine manufacturer is studying the data in order to predict the number of wine cases ordered based upon the wine characteristics. If the wine manufacturer can predict the number of cases, then that manufacturer will be able to adjust their wine offering to maximize sales. Your objective is to build a count regression model to predict the number of cases of wine that will be sold given certain properties of the wine.
Data Exploration
##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
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## intersect, setdiff, setequal, union## Warning: package 'corrplot' was built under R version 4.0.2## corrplot 0.84 loaded##
## Attaching package: 'MASS'## The following object is masked from 'package:dplyr':
##
## select## Warning: package 'caret' was built under R version 4.0.2## Loading required package: lattice##
## Attaching package: 'RCurl'## The following object is masked from 'package:tidyr':
##
## complete##
## Attaching package: 'purrr'## The following object is masked from 'package:caret':
##
## lift# Loading the data
git_dir <- 'https://raw.githubusercontent.com/Sizzlo/Data621/main'
train_df = read.csv(paste(git_dir, "/wine-training-data.csv", sep=""))
test_df = read.csv(paste(git_dir, "/wine-evaluation-data.csv", sep = ""))See a summary of each column in the train_df set
## ï..INDEX TARGET FixedAcidity VolatileAcidity
## Min. : 1 Min. :0.000 Min. :-18.100 Min. :-2.7900
## 1st Qu.: 4038 1st Qu.:2.000 1st Qu.: 5.200 1st Qu.: 0.1300
## Median : 8110 Median :3.000 Median : 6.900 Median : 0.2800
## Mean : 8070 Mean :3.029 Mean : 7.076 Mean : 0.3241
## 3rd Qu.:12106 3rd Qu.:4.000 3rd Qu.: 9.500 3rd Qu.: 0.6400
## Max. :16129 Max. :8.000 Max. : 34.400 Max. : 3.6800
##
## CitricAcid ResidualSugar Chlorides FreeSulfurDioxide
## Min. :-3.2400 Min. :-127.800 Min. :-1.1710 Min. :-555.00
## 1st Qu.: 0.0300 1st Qu.: -2.000 1st Qu.:-0.0310 1st Qu.: 0.00
## Median : 0.3100 Median : 3.900 Median : 0.0460 Median : 30.00
## Mean : 0.3084 Mean : 5.419 Mean : 0.0548 Mean : 30.85
## 3rd Qu.: 0.5800 3rd Qu.: 15.900 3rd Qu.: 0.1530 3rd Qu.: 70.00
## Max. : 3.8600 Max. : 141.150 Max. : 1.3510 Max. : 623.00
## NA's :616 NA's :638 NA's :647
## TotalSulfurDioxide Density pH Sulphates
## Min. :-823.0 Min. :0.8881 Min. :0.480 Min. :-3.1300
## 1st Qu.: 27.0 1st Qu.:0.9877 1st Qu.:2.960 1st Qu.: 0.2800
## Median : 123.0 Median :0.9945 Median :3.200 Median : 0.5000
## Mean : 120.7 Mean :0.9942 Mean :3.208 Mean : 0.5271
## 3rd Qu.: 208.0 3rd Qu.:1.0005 3rd Qu.:3.470 3rd Qu.: 0.8600
## Max. :1057.0 Max. :1.0992 Max. :6.130 Max. : 4.2400
## NA's :682 NA's :395 NA's :1210
## Alcohol LabelAppeal AcidIndex STARS
## Min. :-4.70 Min. :-2.000000 Min. : 4.000 Min. :1.000
## 1st Qu.: 9.00 1st Qu.:-1.000000 1st Qu.: 7.000 1st Qu.:1.000
## Median :10.40 Median : 0.000000 Median : 8.000 Median :2.000
## Mean :10.49 Mean :-0.009066 Mean : 7.773 Mean :2.042
## 3rd Qu.:12.40 3rd Qu.: 1.000000 3rd Qu.: 8.000 3rd Qu.:3.000
## Max. :26.50 Max. : 2.000000 Max. :17.000 Max. :4.000
## NA's :653 NA's :3359
ntrain<-select_if(train_df, is.numeric)
ntrain %>%
keep(is.numeric) %>% # Keep only numeric columns
gather() %>% # Convert to key-value pairs
ggplot(aes(value)) + # Plot the values
facet_wrap(~ key, scales = "free") + # In separate panels
geom_density() ## Warning: Removed 8200 rows containing non-finite values (stat_density).
Data Analysis
Model 1 Poisson Distribution
model1 <- glm(TARGET~ FixedAcidity+VolatileAcidity+CitricAcid+ResidualSugar+Chlorides+FreeSulfurDioxide+TotalSulfurDioxide+Density+pH+Sulphates+Alcohol+as.factor(LabelAppeal)+as.factor(AcidIndex) + as.factor(STARS),data=train_c, family=poisson())
summary(model1)##
## Call:
## glm(formula = TARGET ~ FixedAcidity + VolatileAcidity + CitricAcid +
## ResidualSugar + Chlorides + FreeSulfurDioxide + TotalSulfurDioxide +
## Density + pH + Sulphates + Alcohol + as.factor(LabelAppeal) +
## as.factor(AcidIndex) + as.factor(STARS), family = poisson(),
## data = train_c)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -3.2212 -0.2662 0.0461 0.3943 1.7274
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 7.306e-01 5.130e-01 1.424 0.15441
## FixedAcidity 5.803e-04 1.055e-03 0.550 0.58216
## VolatileAcidity -2.371e-02 8.369e-03 -2.833 0.00461 **
## CitricAcid -2.313e-03 7.581e-03 -0.305 0.76034
## ResidualSugar -7.068e-05 1.943e-04 -0.364 0.71598
## Chlorides -3.261e-02 2.056e-02 -1.587 0.11260
## FreeSulfurDioxide 5.617e-05 4.399e-05 1.277 0.20173
## TotalSulfurDioxide 1.985e-05 2.858e-05 0.695 0.48734
## Density -3.803e-01 2.464e-01 -1.543 0.12274
## pH -1.103e-03 9.614e-03 -0.115 0.90867
## Sulphates -5.343e-03 7.055e-03 -0.757 0.44883
## Alcohol 4.762e-03 1.774e-03 2.685 0.00726 **
## as.factor(LabelAppeal)-1 2.701e-01 5.337e-02 5.061 4.18e-07 ***
## as.factor(LabelAppeal)0 4.943e-01 5.205e-02 9.497 < 2e-16 ***
## as.factor(LabelAppeal)1 6.493e-01 5.277e-02 12.305 < 2e-16 ***
## as.factor(LabelAppeal)2 7.637e-01 5.840e-02 13.077 < 2e-16 ***
## as.factor(AcidIndex)5 1.186e-01 4.553e-01 0.260 0.79455
## as.factor(AcidIndex)6 1.902e-01 4.487e-01 0.424 0.67166
## as.factor(AcidIndex)7 1.536e-01 4.484e-01 0.343 0.73190
## as.factor(AcidIndex)8 1.286e-01 4.485e-01 0.287 0.77430
## as.factor(AcidIndex)9 7.794e-02 4.488e-01 0.174 0.86215
## as.factor(AcidIndex)10 -1.910e-02 4.502e-01 -0.042 0.96617
## as.factor(AcidIndex)11 -2.417e-01 4.540e-01 -0.532 0.59456
## as.factor(AcidIndex)12 -2.259e-01 4.605e-01 -0.490 0.62379
## as.factor(AcidIndex)13 -1.328e-01 4.634e-01 -0.287 0.77447
## as.factor(AcidIndex)14 -1.998e-01 4.813e-01 -0.415 0.67806
## as.factor(AcidIndex)15 2.322e-02 5.591e-01 0.042 0.96687
## as.factor(AcidIndex)16 -2.005e-01 6.341e-01 -0.316 0.75185
## as.factor(AcidIndex)17 7.303e-02 6.351e-01 0.115 0.90845
## as.factor(STARS)2 3.175e-01 1.744e-02 18.198 < 2e-16 ***
## as.factor(STARS)3 4.320e-01 1.899e-02 22.747 < 2e-16 ***
## as.factor(STARS)4 5.519e-01 2.692e-02 20.504 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for poisson family taken to be 1)
##
## Null deviance: 5844.1 on 6435 degrees of freedom
## Residual deviance: 3890.7 on 6404 degrees of freedom
## AIC: 23087
##
## Number of Fisher Scoring iterations: 5predmodel1 <- predict(model1, type="response")
train_c$pred1 <- predict(model1, type="response")
train_c$pred1## [1] 3.447851 2.315006 5.059683 3.280804 4.444015 4.091874 3.039822 3.160816
## [9] 2.351283 2.283963 2.697879 3.883281 4.284433 2.265968 4.574778 2.717768
## [17] 4.605053 4.684846 1.545182 2.846688 2.280297 3.275694 4.189044 3.291301
## [25] 1.620731 2.274754 1.859999 1.700826 1.613869 5.781767 3.399211 5.055413
## [33] 2.211189 4.593197 1.838202 1.794859 2.626983 3.130810 5.174008 5.329797
## [41] 2.999892 3.431668 3.376494 2.329554 3.453233 2.869506 3.154708 3.314495
## [49] 4.043491 2.319035 3.796199 2.720362 3.789183 3.615176 4.595985 2.783458
## [57] 2.996155 2.315919 3.400978 2.313832 2.124449 3.900465 4.142845 4.221138
## [65] 3.000824 2.819303 2.297285 5.182337 3.839114 2.972245 2.988861 2.955755
## [73] 4.299286 5.223167 2.739101 6.016545 4.216586 4.290631 3.322706 2.756139
## [81] 2.937556 3.938301 2.159929 4.995265 6.232422 3.853244 3.860305 2.955596
## [89] 4.606283 4.480842 3.188327 3.306942 4.809373 2.834819 3.174954 3.869347
## [97] 2.228720 4.452055 4.524825 2.683885 4.239135 3.079948 3.666894 3.115999
## [105] 2.262981 2.814574 3.987100 5.464255 4.274196 4.362760 1.702794 6.071594
## [113] 4.918304 3.925744 3.077180 5.695531 2.962072 2.608082 5.755779 2.303950
## [121] 3.473258 2.627119 5.104177 3.892771 4.552648 2.882656 4.508257 4.413664
## [129] 4.281980 3.846711 4.069072 5.961464 3.823913 2.724244 3.185219 4.379325
## [137] 4.654126 2.793539 3.661872 4.517991 2.164285 3.463093 2.181790 2.925447
## [145] 4.324471 4.884013 2.269174 6.245654 5.096354 3.938609 4.175344 4.441268
## [153] 2.770172 4.465349 4.086740 3.898921 4.343838 2.774556 1.658964 2.548562
## [161] 3.515020 4.286339 3.835843 2.251464 3.781249 4.365217 4.388103 4.564125
## [169] 3.801606 3.474510 6.005681 4.260887 2.746054 2.821382 3.461005 3.133736
## [177] 3.690329 4.252151 2.375417 4.041655 2.285567 3.270540 2.300013 5.863997
## [185] 1.636467 5.018833 3.133059 2.950553 4.054775 2.701179 3.937193 3.561840
## [193] 3.488706 2.255257 3.734648 3.999104 2.742862 3.816159 4.004300 5.567977
## [201] 4.357620 2.042093 2.152859 4.637904 3.168753 2.310971 3.302695 4.907972
## [209] 4.020618 2.767739 2.973879 2.759093 3.876146 1.489955 4.566062 3.853942
## [217] 4.045571 3.295365 2.137149 4.248779 3.841303 2.938642 3.907366 3.997059
## [225] 2.180842 3.138603 2.260305 3.420149 5.231306 1.703054 4.304892 3.590702
## [233] 4.655312 2.168889 4.122430 5.573498 2.827246 4.339107 3.027290 4.518162
## [241] 3.007056 3.254097 2.821219 2.806271 5.907719 4.708199 2.954485 2.231366
## [249] 4.061328 2.132403 2.840925 2.763669 4.317308 4.513336 5.095446 2.676082
## [257] 2.726544 4.570978 4.790092 3.961418 4.073509 2.388501 3.794538 3.093258
## [265] 4.662053 4.621712 3.722256 2.856872 2.425368 6.055265 2.219125 2.626435
## [273] 5.592758 3.220386 5.002176 3.623667 4.390347 2.213554 3.881566 4.965846
## [281] 1.618083 2.883585 4.380257 2.307752 4.486426 5.405806 2.788806 4.231404
## [289] 5.478661 2.117928 5.632360 2.220500 3.984586 5.201261 3.096190 4.470842
## [297] 3.746684 3.184209 2.070355 4.597854 3.857396 4.333222 4.424137 5.122434
## [305] 4.299752 4.630227 3.409623 4.475618 2.270077 2.999217 6.328637 5.688672
## [313] 4.690334 3.965052 6.927827 4.311406 4.781453 4.033711 2.197351 3.040591
## [321] 2.121053 1.884284 5.214617 3.081638 1.698732 3.901698 3.332575 3.171315
## [329] 3.724877 2.629767 3.336511 2.807923 2.875371 4.269818 2.321124 4.728201
## [337] 4.752432 2.631662 3.313902 5.125349 1.656058 2.136136 3.294447 4.903410
## [345] 2.791392 5.591224 3.963724 4.492841 4.218830 2.106925 2.785014 3.746764
## [353] 2.828994 4.887404 2.043382 5.016615 4.061842 2.125102 3.102492 4.470802
## [361] 4.845157 3.673962 4.545682 2.073980 5.122512 2.947536 3.833399 2.152893
## [369] 3.011217 3.736025 4.711938 4.260116 4.515094 4.439461 5.031985 3.277143
## [377] 4.097107 2.842777 4.442888 2.216277 3.128170 2.088854 2.308862 3.809162
## [385] 3.511139 1.748694 4.105090 2.156948 2.902090 2.356133 2.251146 3.837442
## [393] 5.164035 3.118759 3.059450 4.034512 3.124652 3.914909 3.184266 4.297625
## [401] 5.444198 5.023239 4.142730 2.419646 2.292742 2.941345 4.522329 4.300174
## [409] 4.848754 3.350979 4.553376 2.877951 2.973982 4.266123 5.195448 3.023258
## [417] 2.736212 3.851798 2.712880 3.174468 3.264398 4.756845 2.774256 3.666116
## [425] 5.504564 5.519905 5.674545 2.793696 4.393706 3.991603 3.334483 2.924921
## [433] 4.937902 3.159298 3.079321 2.290813 3.667182 5.130822 5.812224 4.107128
## [441] 3.244396 5.088034 6.328390 3.722157 2.122806 2.277207 4.240663 4.551059
## [449] 4.743738 3.048467 3.982329 2.842571 5.085144 3.810970 3.019258 2.923216
## [457] 4.034099 2.933344 2.789537 2.152109 4.417866 2.034768 2.835915 5.311665
## [465] 3.171615 4.089969 3.867876 3.987033 3.877235 4.335398 4.915178 3.060220
## [473] 5.250215 4.619717 4.495896 3.691184 4.118450 6.138966 2.750620 3.898505
## [481] 3.610201 3.396161 3.196887 4.610433 4.284800 4.646276 4.536919 2.388759
## [489] 4.465756 3.108282 3.043085 4.489683 3.064173 4.440967 6.429205 4.482567
## [497] 5.733639 4.341553 2.298669 3.857964 3.395710 3.700168 3.161911 5.133786
## [505] 4.604299 2.982348 1.815860 4.527292 4.689134 2.858207 4.579518 3.899384
## [513] 3.053243 2.876117 3.977756 2.323614 1.642850 3.294324 4.738101 4.110929
## [521] 4.061405 2.204227 2.311725 2.954912 4.139411 2.332791 3.547126 3.597522
## [529] 4.447969 4.601298 3.522545 2.125932 3.829985 3.252509 2.989914 4.887915
## [537] 4.877374 2.295391 4.237112 3.731721 2.237629 5.861145 3.147321 4.180673
## [545] 2.781062 4.999270 2.247644 2.784954 2.936695 6.298371 2.760159 5.084601
## [553] 3.241446 2.690741 3.508325 2.746969 3.671703 2.259729 4.724080 3.359009
## [561] 4.921812 5.965175 3.588158 3.412268 2.328019 2.871459 5.422598 3.931166
## [569] 3.388937 2.377523 3.157857 2.870655 3.662060 1.850953 3.757689 3.883612
## [577] 3.501678 3.763053 4.029708 2.298559 3.893167 2.110585 3.824627 5.218888
## [585] 3.928498 3.132770 3.085947 5.109261 2.659012 3.667410 2.820522 4.096357
## [593] 3.647700 2.630258 3.984221 3.956978 1.838040 3.419439 3.723918 4.797188
## [601] 2.609039 5.131239 5.525245 4.896157 3.800474 4.477581 3.585301 4.929373
## [609] 2.249424 2.894472 3.727000 4.918374 3.908636 3.091676 3.737985 5.405105
## [617] 4.404914 3.594908 3.321991 4.208705 4.137573 3.990008 2.291693 3.287398
## [625] 4.362967 5.261740 2.215319 4.492531 3.077008 2.209051 1.716663 3.829786
## [633] 3.056248 3.350383 4.424797 3.941979 3.551470 3.737202 4.086235 3.679806
## [641] 5.430781 3.897591 3.982809 5.312677 3.723263 4.189885 2.224039 2.788722
## [649] 2.396770 3.716157 2.760024 3.185890 1.879302 3.755124 4.248321 2.898347
## [657] 5.135538 2.933155 4.467369 3.620726 4.243473 2.957524 2.733598 3.701390
## [665] 3.073810 5.355695 4.946697 2.712261 3.950174 2.685274 2.254139 5.224350
## [673] 2.944977 2.148430 4.329873 4.515301 4.594599 1.636017 4.809306 1.878088
## [681] 4.349082 3.790089 4.572560 3.965586 5.173614 4.686151 1.910778 3.971608
## [689] 3.688410 2.820693 3.886275 3.153182 2.726331 2.603364 2.759153 4.535584
## [697] 2.169379 3.802215 4.367103 4.585804 5.122923 3.656703 2.773705 2.760890
## [705] 4.976355 2.092738 6.256677 4.319373 5.750532 5.121748 4.200908 3.940187
## [713] 2.265440 5.578901 4.180570 5.240652 3.027262 4.514611 4.445545 2.790126
## [721] 5.747698 3.107636 5.703797 5.018585 1.954394 2.094975 5.405001 3.077733
## [729] 3.590151 3.140971 2.202319 2.502516 3.579003 1.771307 4.497245 1.761331
## [737] 2.748973 4.689193 2.176839 2.748280 5.166641 4.746552 3.114069 2.817281
## [745] 3.852892 2.154605 2.361783 4.710264 4.473963 1.701130 3.887549 2.844258
## [753] 2.617573 3.001964 3.087146 5.184213 3.751923 4.969424 2.986671 2.948102
## [761] 2.185710 3.091449 4.549484 3.230585 5.143875 3.850285 3.126652 3.057383
## [769] 5.173721 4.460574 3.376351 3.894510 5.325502 2.163657 2.700722 2.415643
## [777] 2.802750 5.395762 2.818430 4.387986 3.035723 2.137357 4.368163 1.746963
## [785] 2.430210 4.794188 3.148135 2.299283 2.670090 3.124753 2.858497 2.184942
## [793] 2.311135 3.025595 3.367473 2.280706 5.241431 4.496254 3.408831 5.293911
## [801] 5.263642 4.097425 3.861563 3.205628 3.604539 4.649577 4.494524 3.906326
## [809] 2.760649 3.136915 2.364193 4.409067 3.897097 4.183273 3.542384 4.112098
## [817] 2.237833 2.373974 2.177922 4.355934 3.988941 3.898018 3.836165 3.655744
## [825] 2.326265 2.179830 1.869307 5.387858 5.572887 4.173789 2.904021 4.341732
## [833] 2.912963 3.851697 3.108160 3.074214 3.031358 2.835613 3.711728 2.744518
## [841] 3.657266 4.376555 3.847498 4.869962 5.083360 2.829976 2.747513 4.357226
## [849] 2.232098 3.617367 2.461006 2.256407 5.020453 2.645251 4.554768 4.242319
## [857] 4.066832 4.938003 3.597288 2.663767 3.011708 5.481473 4.294753 4.425366
## [865] 3.814781 3.702942 3.293443 3.950611 3.758382 4.543871 4.443341 4.575978
## [873] 4.023661 2.796278 4.770960 5.335451 5.831632 2.909833 4.426024 3.041389
## [881] 5.508968 3.116901 4.544021 2.940111 3.204463 2.810873 4.537748 2.909543
## [889] 3.207702 2.978781 4.500268 5.336187 4.175026 2.830639 4.883961 3.284207
## [897] 3.650443 4.599359 1.557708 2.393725 2.716421 3.097749 4.693417 4.461567
## [905] 4.087927 2.520477 3.400449 2.348114 5.085535 3.864538 4.078508 4.086394
## [913] 2.809886 3.589727 4.532532 3.426671 5.551322 2.893535 1.877151 4.174533
## [921] 4.193810 4.454487 2.374077 2.802913 3.951785 4.948126 2.305748 3.686389
## [929] 3.581830 3.733782 4.321516 2.735584 2.221626 5.594764 3.087514 3.391738
## [937] 4.277195 3.678957 4.813114 5.710311 3.042631 3.987728 5.812060 4.447154
## [945] 5.121831 4.274092 3.158771 3.104608 3.107280 2.737908 5.906105 4.416532
## [953] 2.268434 2.869411 4.150635 3.335591 6.405282 2.785214 3.999212 2.967346
## [961] 4.251786 4.217209 3.591563 3.907349 2.235904 2.137564 3.138690 2.785425
## [969] 3.664481 4.350547 4.365890 4.986426 3.121632 4.462346 2.640209 5.382281
## [977] 4.474852 2.023442 4.009855 2.327642 4.000985 4.283773 2.943258 2.993769
## [985] 4.251918 2.223664 4.643022 4.890277 3.899956 3.000542 2.898323 5.952571
## [993] 4.871774 3.163170 2.915234 3.256290 3.932152 3.238991 6.461442 3.753976
## [1001] 3.239438 3.035517 4.254159 2.721856 2.860265 5.275145 5.566462 1.779388
## [1009] 4.681140 3.890672 2.302984 4.596111 5.680422 5.420052 4.119214 5.063150
## [1017] 4.008524 2.237371 2.884760 4.391504 4.042293 3.756166 2.888860 2.674950
## [1025] 3.939140 4.601132 2.360869 4.642269 3.809640 4.856743 3.739297 1.701099
## [1033] 2.520887 4.942674 2.220056 5.016447 4.790270 3.010835 4.109653 4.609183
## [1041] 4.383310 4.181542 2.839032 5.040464 2.961569 5.970927 2.289908 3.132466
## [1049] 5.384773 3.822351 2.199266 4.737259 4.787301 2.608926 4.664383 2.234349
## [1057] 4.542294 2.325722 4.815831 3.036385 4.731987 3.960919 2.874903 4.568290
## [1065] 3.160786 4.275484 4.404023 5.420947 5.766020 4.005999 3.653027 5.386063
## [1073] 2.767646 6.400241 3.440171 3.219481 6.008149 5.330832 1.634285 4.646101
## [1081] 4.157590 3.906232 2.617183 3.331021 5.659693 5.106390 4.041792 1.467005
## [1089] 4.248894 2.823922 2.581929 4.451716 5.205090 2.448348 3.712896 3.165159
## [1097] 4.407447 2.210675 1.744528 3.087184 2.931340 5.086289 2.895657 5.764526
## [1105] 3.830972 3.213675 3.158003 4.074988 5.500007 5.399541 1.665753 4.165083
## [1113] 5.082006 2.736847 2.859746 2.160375 3.257650 3.840395 3.923913 3.096883
## [1121] 3.448919 2.830328 3.390211 5.183533 2.257983 5.115941 2.688227 3.697326
## [1129] 3.498927 4.580290 4.015375 2.389934 3.004899 5.384909 3.688022 2.482824
## [1137] 4.530907 4.291526 4.336996 3.104375 2.806022 2.711096 4.110232 4.472653
## [1145] 3.141385 4.958972 4.104493 4.818340 2.160427 2.856630 3.427274 1.664524
## [1153] 2.682642 2.789267 4.413260 2.181482 1.664962 2.188337 5.389057 3.953007
## [1161] 4.469374 4.283696 2.948316 2.239667 4.225751 3.869336 3.820341 3.831760
## [1169] 3.913134 3.910258 3.995731 5.024762 2.907038 4.013846 2.539089 3.078387
## [1177] 4.355530 4.071597 2.750442 3.174717 3.049278 5.911817 2.656692 4.926983
## [1185] 3.858246 4.985358 5.610879 3.764012 2.754126 4.475356 5.161026 4.451621
## [1193] 4.127459 3.977071 3.858902 5.664952 3.168404 4.081791 5.645482 4.386394
## [1201] 4.937692 3.603343 3.954244 5.162574 2.276149 5.659176 3.765648 1.901972
## [1209] 1.707262 1.692273 3.958850 2.902077 2.341757 4.750709 4.149774 2.339127
## [1217] 4.468983 4.727161 3.030534 2.432241 4.326343 2.755774 4.317286 2.819506
## [1225] 4.700869 4.131207 3.198656 3.989465 2.620968 1.569530 3.765135 1.895107
## [1233] 5.219870 3.369178 4.324882 3.103414 4.140525 3.426397 4.519253 3.925597
## [1241] 3.799252 3.526318 3.298209 3.517271 4.241031 4.475351 4.863527 5.853879
## [1249] 2.323745 4.764719 1.587539 2.936926 3.974991 3.925603 2.816478 2.744210
## [1257] 3.764010 4.432819 2.856099 3.188067 3.801408 2.089647 3.895856 3.386461
## [1265] 4.438754 3.279925 4.449701 4.051651 4.194441 4.079195 5.683433 4.542718
## [1273] 2.650846 3.839997 3.278765 2.343671 3.914944 3.902132 2.753749 2.682540
## [1281] 4.827316 1.628436 2.556938 4.108134 2.838987 3.752197 3.918788 3.197323
## [1289] 3.817298 2.216694 3.162474 3.756093 2.779833 4.418529 2.599945 5.357401
## [1297] 4.007707 4.237047 5.520692 3.156671 5.857632 2.939160 2.869056 2.753429
## [1305] 2.169144 4.999471 2.572014 3.611451 5.710954 3.469190 3.798959 2.617337
## [1313] 5.865302 4.016049 4.205817 3.341387 2.037683 4.570273 3.302903 3.261906
## [1321] 2.183003 4.929741 2.308454 2.815199 3.744912 5.803996 3.965470 3.654943
## [1329] 4.010371 2.277280 3.556755 4.179878 2.339840 2.463013 4.340983 2.201186
## [1337] 4.444980 4.495963 3.061644 3.824787 3.319342 3.023952 2.732392 1.629370
## [1345] 2.327872 3.991584 3.102445 4.674955 2.458647 3.857175 5.000000 2.489032
## [1353] 2.939930 4.311680 4.936844 4.420343 3.504303 3.502623 4.615372 4.554801
## [1361] 5.272635 3.339529 3.073051 4.103606 2.874733 6.292646 2.926767 2.261683
## [1369] 4.054063 2.380367 4.395580 4.564476 3.335072 3.438639 1.705378 5.347972
## [1377] 2.567226 4.997160 2.310256 4.759385 4.059754 3.463300 4.285630 2.743856
## [1385] 3.781649 5.243847 2.404785 4.192376 3.140291 2.970777 5.736012 2.861893
## [1393] 3.891108 4.295899 4.004129 4.005392 3.791179 5.032782 3.371581 2.280821
## [1401] 3.689701 3.108830 4.279456 2.150823 5.794866 3.306179 4.518778 3.345689
## [1409] 4.352456 2.252765 3.653102 2.688491 3.831568 3.133093 2.865957 2.764033
## [1417] 2.290125 4.053344 2.753430 5.109369 5.775912 4.497804 3.231693 3.010200
## [1425] 4.098121 2.865880 2.391784 2.192947 3.364267 2.986774 4.636082 2.242019
## [1433] 4.501148 2.164217 3.319526 2.808412 3.726048 2.242375 2.781821 5.178651
## [1441] 3.852782 2.178560 2.831790 2.851145 4.384942 4.167549 3.799791 2.208707
## [1449] 4.914418 6.396794 2.225450 2.319258 4.662102 4.331153 4.382809 2.630469
## [1457] 4.424150 4.451751 1.821894 2.852844 3.749759 3.916803 2.560736 4.404050
## [1465] 4.061468 3.851775 3.535879 1.953010 5.431046 3.291851 2.997974 2.354282
## [1473] 5.907582 3.049323 4.005486 4.910587 2.985525 2.872366 4.428561 2.787164
## [1481] 3.221922 2.604754 5.567535 2.200759 3.280001 3.347268 3.632867 3.845574
## [1489] 2.023688 2.677974 3.824917 2.496435 3.552613 3.324143 5.532615 2.222688
## [1497] 2.268262 4.430609 4.525578 2.652659 2.889006 5.682378 2.894805 2.604958
## [1505] 2.142127 5.124591 3.861047 4.495616 4.678030 4.557738 2.201069 4.029476
## [1513] 2.880463 3.479601 2.711885 4.400798 4.129112 3.008016 2.834210 5.668842
## [1521] 5.809299 2.939607 3.030282 3.052239 5.102118 4.132644 3.039707 4.189918
## [1529] 2.790762 4.891280 2.200132 5.237600 2.252683 2.160417 2.291801 1.800113
## [1537] 4.396374 1.687026 3.883030 4.589447 4.483280 4.149064 3.818551 3.971991
## [1545] 3.098902 2.296487 3.880144 4.471762 2.179416 4.770458 4.432272 2.954906
## [1553] 5.243372 2.318996 2.210014 5.358517 3.797853 2.956526 2.655632 4.263900
## [1561] 4.490657 4.382638 4.790148 3.059535 4.728598 6.253625 5.908605 2.574465
## [1569] 3.325405 3.617651 4.488958 2.832520 3.060014 2.246336 2.886290 2.941182
## [1577] 4.431343 2.200120 3.492651 5.223116 4.432565 3.918170 4.717134 4.357337
## [1585] 4.016139 2.717018 2.955850 4.376824 2.639696 2.800073 4.324227 2.029736
## [1593] 3.032129 3.457676 4.219317 3.070859 3.983337 2.966479 4.341848 3.831953
## [1601] 3.688888 3.258937 4.879867 4.805795 2.989336 3.810870 4.557859 4.260437
## [1609] 4.593612 3.127893 6.406606 3.752343 3.846106 4.913724 4.743552 2.274748
## [1617] 2.659970 4.072461 3.993992 4.140968 2.850503 4.278330 4.397903 4.294978
## [1625] 3.642602 2.171545 1.769857 3.812234 4.828491 5.954974 3.885745 3.007211
## [1633] 2.721940 2.208473 3.974230 2.806873 4.568554 3.056173 3.369647 5.673634
## [1641] 3.610505 3.810986 2.902741 2.733058 3.686530 1.986475 3.822310 4.229357
## [1649] 3.041750 2.814588 3.714580 4.772429 3.114300 3.114848 4.513344 1.961366
## [1657] 2.317176 3.410415 4.032264 3.694649 4.117055 2.746918 1.889774 4.484817
## [1665] 4.439202 2.750214 3.791928 4.194974 4.123838 3.148228 2.235664 4.264091
## [1673] 2.644487 3.291328 3.660891 3.366053 6.020880 2.845458 5.759600 4.536995
## [1681] 2.837579 3.808369 4.354681 3.185803 4.684911 4.782542 2.269586 2.595870
## [1689] 2.634340 3.369538 2.997474 4.063551 2.202291 2.368772 3.026900 4.012826
## [1697] 3.579295 5.241521 3.006626 1.646239 2.781768 4.696271 4.312465 2.227950
## [1705] 2.803573 3.397003 2.833435 2.208165 3.053048 5.333603 3.190342 2.272479
## [1713] 3.089663 3.735807 2.246593 3.797860 3.231227 2.128685 3.964117 1.921315
## [1721] 4.789497 3.200538 3.787820 3.085784 5.378490 2.828764 2.901743 2.214509
## [1729] 4.796289 3.917726 3.957225 2.840396 3.819545 5.385645 3.874198 3.350925
## [1737] 3.680448 3.850206 3.233723 4.106438 3.921919 4.038353 4.550838 2.805993
## [1745] 4.544002 2.370109 3.746024 5.384818 5.211869 3.918987 4.308861 3.270466
## [1753] 2.919086 1.964223 1.687303 3.854203 2.789749 4.185319 4.518572 2.378537
## [1761] 3.824975 2.204599 3.609384 3.869692 3.659263 4.363395 3.201807 4.368095
## [1769] 5.253903 2.802388 2.191015 2.195888 3.226426 1.760772 2.885015 2.931438
## [1777] 4.035677 2.212201 2.474521 3.964602 3.998784 3.082748 4.178856 6.335284
## [1785] 3.964224 3.720742 4.662582 3.395774 3.801800 3.832258 4.378443 3.970949
## [1793] 4.953160 2.197328 2.305255 3.053476 2.679342 2.269464 2.859696 4.953597
## [1801] 4.401747 1.691605 1.624903 2.311215 5.099653 2.935808 5.120339 4.381537
## [1809] 2.126536 3.002433 4.050091 3.884288 4.595439 2.251425 3.911886 3.389630
## [1817] 3.285273 2.310525 4.890347 3.992954 3.953819 4.435425 4.640905 1.743718
## [1825] 3.086769 4.659471 2.742487 4.724142 3.153258 3.602506 2.794323 2.817124
## [1833] 3.596925 4.564591 3.898432 2.932002 4.552429 4.215261 4.076091 3.732341
## [1841] 4.310490 4.518432 3.181941 2.192853 3.974674 1.400605 2.207616 2.934280
## [1849] 3.019899 2.227419 4.505508 3.442990 3.782860 2.392948 3.544330 4.312870
## [1857] 2.947070 4.143729 4.359654 5.693991 5.134819 4.310413 3.534001 3.941189
## [1865] 3.984480 4.403087 1.682964 2.835556 3.220597 3.883408 2.912149 4.482210
## [1873] 3.344421 4.022151 4.371810 2.212706 4.199386 2.226263 3.743601 2.235871
## [1881] 4.119342 5.243009 1.873318 3.941976 2.457820 5.191659 3.964655 2.092293
## [1889] 2.955777 3.658140 2.772617 3.708932 3.160451 3.574819 2.729081 2.265641
## [1897] 4.412988 3.512055 3.933328 3.437502 2.768211 4.353921 2.257969 3.130302
## [1905] 4.099614 5.524947 3.822434 3.752052 2.224282 4.669942 3.753386 5.298521
## [1913] 4.798158 5.046717 3.930745 4.502946 4.414407 3.831952 3.216459 5.003156
## [1921] 5.164387 4.876351 4.102071 5.100723 2.836403 3.864591 3.995233 4.411727
## [1929] 2.923920 2.743046 4.630134 4.533231 2.915120 2.230800 5.111693 3.788879
## [1937] 4.251849 2.857141 4.010647 2.759339 4.232943 4.288839 3.126192 2.921530
## [1945] 3.862933 1.506015 3.560877 4.144094 4.187823 2.857720 4.065052 3.270518
## [1953] 2.753300 4.280608 5.619797 3.144959 3.576306 3.877098 2.359193 2.905588
## [1961] 2.241427 1.774546 2.197999 3.476599 2.927911 2.230051 3.029036 6.214544
## [1969] 4.672574 4.536145 4.483644 2.811664 2.634293 3.554281 2.910932 5.097886
## [1977] 3.295758 2.215349 5.230724 5.086994 2.578750 3.865402 4.823505 2.879509
## [1985] 3.779124 2.694162 3.872101 3.827692 2.508191 4.381425 4.266495 2.596415
## [1993] 4.416452 5.265646 2.300539 2.977632 2.207910 5.079216 2.691259 2.942901
## [2001] 5.178226 6.819052 3.694870 3.800752 3.856644 3.971365 4.612050 5.184977
## [2009] 3.056569 3.199669 2.344223 3.395580 3.696193 3.225789 2.873741 3.404774
## [2017] 3.921059 4.204933 2.800373 6.440416 6.103243 3.184900 5.079685 5.645202
## [2025] 2.875983 3.645819 2.907315 3.716422 6.007405 2.140744 4.458444 3.067116
## [2033] 2.663690 4.445335 2.222742 3.393834 3.894744 2.299067 3.146400 1.687530
## [2041] 2.914626 4.134307 3.447482 2.236049 3.013674 2.780794 2.182895 4.110954
## [2049] 2.822536 4.537934 3.358041 5.225012 4.977330 4.502316 4.263029 4.321656
## [2057] 2.350446 4.287934 4.573978 3.493397 2.115019 4.644357 4.670452 2.891592
## [2065] 2.807839 2.530331 4.659999 2.749304 1.521273 5.128242 3.535305 3.103361
## [2073] 4.281988 4.257557 5.162116 3.171936 3.423043 3.851089 3.001691 1.749137
## [2081] 4.487551 4.545479 5.249719 5.817627 3.354263 2.326381 2.552720 2.060638
## [2089] 4.297405 3.430290 4.288947 2.857430 3.804236 3.530435 5.034999 3.976618
## [2097] 3.915080 1.852669 3.743447 2.862260 4.907131 2.899640 4.514894 2.786553
## [2105] 3.782444 3.238385 2.578834 2.333537 4.740801 2.237456 4.034473 2.103250
## [2113] 5.030473 4.955062 3.939899 3.901381 4.096224 4.920160 2.982482 2.100055
## [2121] 6.003991 2.293070 5.125887 3.579076 3.884465 4.966902 2.613170 4.870911
## [2129] 3.766448 2.228878 4.418248 4.410748 4.053641 2.885333 3.899894 2.092546
## [2137] 2.300088 3.450629 4.088538 1.902459 3.378621 3.204751 3.731153 3.829344
## [2145] 5.273753 4.477099 3.546427 2.629087 6.064180 3.741559 1.463026 4.099954
## [2153] 5.250604 3.874010 4.486880 6.412063 2.251313 4.003354 4.746829 2.132085
## [2161] 2.701696 2.710325 2.871704 3.128903 2.864584 4.637105 3.149561 2.965154
## [2169] 2.437466 3.262293 4.461441 4.539202 4.592460 4.483929 2.844023 3.571092
## [2177] 2.750463 3.876500 4.396254 2.113430 1.496639 2.227977 4.163017 2.238177
## [2185] 2.835790 2.852015 3.318447 5.909747 5.172119 3.824478 4.409750 2.422375
## [2193] 3.123932 4.526780 5.135683 1.719598 2.295379 4.680660 3.086655 2.764050
## [2201] 2.751263 4.623060 5.222060 3.241461 1.689651 2.145399 2.595284 3.145933
## [2209] 4.658183 4.230350 2.698404 3.614425 2.331762 3.542648 5.452570 4.582700
## [2217] 2.637767 5.300631 2.052434 2.996174 2.282707 4.366660 3.204388 6.600502
## [2225] 4.736207 2.282783 3.970181 3.773300 3.350292 3.808814 4.902119 2.755898
## [2233] 5.260828 3.180759 4.325591 2.739944 2.280881 2.916219 4.355102 2.457681
## [2241] 3.006159 3.498662 4.527292 2.918356 2.888189 2.330749 4.131465 4.885386
## [2249] 3.517304 4.919430 2.962383 4.459847 2.909625 3.841193 4.229956 3.629999
## [2257] 5.309888 3.883377 3.678123 3.119448 2.827408 5.057083 3.557593 4.964232
## [2265] 2.268840 5.876297 3.810023 3.317098 3.167981 3.143871 3.721740 4.469649
## [2273] 3.197721 4.356568 4.538609 3.969690 3.374607 3.302661 4.187789 2.321666
## [2281] 6.075830 3.784922 4.318487 3.886942 3.012665 4.563141 3.407602 5.073569
## [2289] 2.826606 2.730490 4.988694 3.867510 3.257030 3.600281 3.119610 5.512534
## [2297] 5.303628 4.463718 5.007640 4.474868 3.806789 4.459239 3.064899 3.065514
## [2305] 5.838506 3.533881 2.215968 4.418866 1.625408 4.187617 3.929070 3.233804
## [2313] 3.476672 5.058032 3.371654 3.077304 5.084062 4.019281 3.491777 2.968037
## [2321] 2.867737 1.754433 2.146500 3.100199 5.142243 2.967191 3.412101 2.535674
## [2329] 4.504646 2.065099 2.193934 2.392213 5.168761 2.382923 2.155798 1.559159
## [2337] 3.857393 5.072877 3.714211 4.239404 4.569640 4.622079 2.681697 2.317062
## [2345] 2.923411 4.019378 3.676627 4.144994 5.005991 2.163046 3.384474 3.680902
## [2353] 4.875831 4.338612 2.749700 3.242888 5.011797 2.616036 2.887949 2.364938
## [2361] 5.719102 2.033460 5.288349 2.752093 2.867969 4.024588 5.505922 2.802150
## [2369] 4.731133 2.909564 3.362059 3.875019 2.818977 4.236507 4.266858 5.815006
## [2377] 2.706130 3.727035 1.739877 3.160713 4.946688 3.549145 4.985668 3.431377
## [2385] 2.214597 5.121697 5.625288 2.732673 3.568432 4.298381 5.524259 3.961220
## [2393] 5.380532 3.208548 2.348905 4.560041 2.627453 3.190512 2.863706 5.422963
## [2401] 5.807632 2.792658 5.958820 4.691617 4.004916 1.650801 1.744632 4.214123
## [2409] 3.775307 3.874115 3.001863 2.142247 4.329518 2.225970 3.966605 2.800865
## [2417] 1.616627 2.271880 4.838382 4.250260 5.147692 2.738560 1.634904 3.929658
## [2425] 5.746536 3.906290 4.654015 3.606943 3.684351 3.790512 2.227578 6.721278
## [2433] 4.764640 3.759111 4.450272 4.338801 2.251653 2.862536 3.480905 5.438944
## [2441] 3.625957 3.823259 4.041108 4.297967 5.087145 2.161574 4.582562 2.687906
## [2449] 4.521014 3.119622 4.462440 4.097046 3.766681 3.106469 4.465542 1.879015
## [2457] 3.143408 3.594334 1.840143 2.583083 2.204952 2.674013 3.982093 5.172557
## [2465] 5.173438 3.567408 3.501582 4.769882 5.000000 2.239935 4.269880 5.268745
## [2473] 3.703489 3.078819 3.022839 1.955673 3.250066 2.722726 5.188032 2.647419
## [2481] 2.308305 3.790280 4.653934 4.244077 3.120882 1.815229 5.009275 3.880699
## [2489] 2.242119 5.038123 1.458235 4.797145 3.207133 3.744397 3.883802 2.233778
## [2497] 5.758399 4.405367 3.839620 2.367234 4.084588 3.165496 5.518328 3.507788
## [2505] 2.998750 4.155275 5.044140 4.811693 4.388732 2.918195 4.590694 2.158338
## [2513] 3.028946 4.365894 2.653369 1.726051 1.731075 4.341263 4.353566 4.575832
## [2521] 3.129089 2.305008 3.982789 5.159842 2.235972 5.538372 3.519214 4.395124
## [2529] 2.194956 5.049993 4.367872 4.127483 2.315793 3.774308 4.662601 4.788586
## [2537] 3.227776 2.507998 2.871280 3.152651 1.885996 5.476670 3.859232 5.378447
## [2545] 2.363573 4.941422 1.517684 4.097936 2.697852 2.307729 2.231080 3.120995
## [2553] 2.665274 3.707510 3.117830 4.665926 5.645072 3.236273 4.469984 3.987040
## [2561] 4.268162 4.466044 4.035408 4.268380 5.948594 3.303216 2.707942 3.844857
## [2569] 5.247913 3.383167 3.035601 4.147348 4.049384 3.785623 2.867853 5.157994
## [2577] 2.320076 4.474952 2.350453 2.823048 4.668608 3.130540 3.898113 3.933729
## [2585] 4.892279 3.361122 2.223836 4.321480 4.309920 2.725216 3.688220 2.080326
## [2593] 2.425580 3.813542 5.089754 3.646000 2.098092 3.529049 3.844511 5.254540
## [2601] 2.239570 2.905285 5.415619 5.615979 3.734168 5.428703 5.228201 3.547842
## [2609] 4.938884 2.883694 3.941554 4.887816 4.825923 4.903649 6.609264 3.203082
## [2617] 4.299738 4.284669 4.462144 2.754950 2.725077 4.321913 4.117769 3.769413
## [2625] 3.891647 4.805704 4.200741 2.127219 5.471842 3.406725 4.273651 4.249966
## [2633] 3.883651 3.087118 3.221549 3.526699 4.522253 3.949588 2.468705 5.723528
## [2641] 5.228252 3.662354 1.737764 3.147699 4.941198 2.177361 3.869341 2.866090
## [2649] 2.863843 2.236820 4.862324 4.928616 4.365691 2.786243 4.267227 2.249083
## [2657] 2.823865 3.231142 2.191999 4.709861 4.758379 2.626407 2.808276 4.064445
## [2665] 4.254187 4.769617 5.267704 2.716242 5.145340 2.700133 3.816748 4.201865
## [2673] 3.786058 2.610938 5.755959 3.423589 2.960135 4.089512 2.824213 4.580260
## [2681] 2.940613 3.007467 3.803931 4.121683 3.829632 4.987914 4.443792 3.613807
## [2689] 2.309897 2.768758 5.283280 4.267661 5.094275 2.241842 2.246624 4.048206
## [2697] 3.852424 3.375372 3.982972 5.185461 3.101037 1.555456 4.523122 2.838940
## [2705] 4.505339 3.888757 4.076246 2.965855 4.019294 3.547394 3.185053 3.591031
## [2713] 3.337243 3.120138 5.189604 5.227274 3.613802 2.815136 3.136079 3.251110
## [2721] 2.690815 3.969432 3.867182 3.942485 4.004891 3.809273 4.365156 3.232392
## [2729] 3.366530 2.360679 2.924606 4.420160 3.555562 4.761851 3.049986 3.722199
## [2737] 3.772422 2.840546 3.854823 2.391871 3.788110 2.333749 3.036244 3.605950
## [2745] 2.140850 5.594534 3.802627 6.691714 3.178180 3.365596 3.667672 4.506475
## [2753] 3.023778 2.272683 4.844658 5.204660 3.967674 2.828857 2.936802 4.304105
## [2761] 2.705858 5.709976 5.293429 4.640587 4.359905 5.819239 3.285486 3.824072
## [2769] 4.064535 5.207257 4.222707 4.934078 5.217604 5.776975 4.695650 4.551917
## [2777] 3.458581 3.036233 2.841237 3.255082 4.736837 2.204692 3.683885 3.534961
## [2785] 2.842155 2.945417 2.976840 4.318501 1.912880 4.608686 5.078974 3.450810
## [2793] 3.176298 3.384098 2.907910 2.228155 2.844996 4.083993 3.712904 6.516057
## [2801] 3.982766 4.021287 6.696187 5.121341 2.747776 2.213247 5.020519 4.142121
## [2809] 4.789369 2.607212 4.872417 3.285645 3.747946 3.750332 2.144883 5.172553
## [2817] 3.924495 5.196374 4.691307 3.585215 3.222297 2.360837 4.725086 3.363236
## [2825] 3.589862 2.710887 2.171488 2.646596 3.309993 4.099680 3.164849 2.774278
## [2833] 2.783027 2.572846 4.793567 3.528869 4.456025 5.645281 4.019719 2.993703
## [2841] 3.421728 2.668019 4.523910 5.078436 5.078267 3.774324 3.777014 5.440453
## [2849] 4.541888 2.783023 3.952548 4.384779 2.081999 4.453783 3.554299 3.947638
## [2857] 3.781401 2.110114 4.923972 5.200099 3.009162 2.299591 4.996893 4.053956
## [2865] 3.779357 4.035405 2.696207 2.058952 3.306148 3.065969 4.430123 4.315394
## [2873] 2.876916 3.239965 5.339691 3.145756 2.348747 2.777729 3.173808 3.946500
## [2881] 2.767837 4.585662 4.193637 5.321294 4.927265 2.899198 2.291723 2.786132
## [2889] 4.633904 2.209005 2.810661 2.877026 2.186154 3.184009 3.739240 2.313856
## [2897] 3.873107 3.415182 4.799484 2.964138 3.960757 2.668822 3.851224 3.746512
## [2905] 3.891459 4.142878 4.370518 5.681740 3.433582 2.124672 3.765870 2.358031
## [2913] 4.149724 2.356756 5.045339 3.215792 5.080003 2.612033 5.854292 4.562949
## [2921] 2.754775 4.485336 3.938840 3.598589 5.633128 5.124837 2.773663 1.584674
## [2929] 4.288612 2.113179 3.786595 3.243774 3.734760 3.745345 3.031210 3.008505
## [2937] 1.959742 4.606698 2.705678 2.958347 2.392030 2.739614 3.125079 3.114924
## [2945] 2.226325 5.659363 4.585642 5.521421 3.871405 4.592337 2.938435 3.825635
## [2953] 2.971247 4.900415 5.175563 2.937204 3.839862 4.083490 2.253994 3.715540
## [2961] 3.691533 3.102340 1.624423 2.262865 2.417385 3.171382 2.240235 5.391854
## [2969] 2.816796 4.079923 2.506740 3.207890 2.218372 2.333942 2.810406 4.454596
## [2977] 5.110062 5.203166 3.547703 2.793281 5.219131 2.281621 2.080744 4.447997
## [2985] 3.125595 4.082162 4.075710 2.292060 2.236627 2.710700 5.773114 3.960562
## [2993] 2.688010 4.398820 6.149277 3.266649 3.087186 5.930507 3.376294 2.518150
## [3001] 3.785172 5.784471 3.894048 2.332467 3.420006 4.548096 3.916550 2.212756
## [3009] 3.806351 4.312736 2.334474 1.522945 2.202008 2.909557 2.893808 2.592416
## [3017] 5.755668 2.143910 2.689533 1.599816 3.137269 2.139785 4.106548 4.391738
## [3025] 2.210443 5.372530 2.833071 2.948022 3.730822 3.920667 2.242872 5.667845
## [3033] 4.236904 2.830802 2.660963 3.049315 3.462844 4.475758 4.245669 1.627446
## [3041] 3.244291 2.279375 4.094357 5.360407 4.494957 2.883748 1.951712 3.798278
## [3049] 2.966583 2.566661 4.414543 5.119588 3.687430 3.087860 3.251621 4.006698
## [3057] 1.489313 2.153925 2.240282 4.400793 4.637118 2.186085 2.263333 3.266993
## [3065] 2.837956 4.423865 3.875412 2.787709 4.279098 5.667152 4.288059 2.891639
## [3073] 3.467658 2.819824 2.905137 4.688027 4.313248 4.704669 5.177830 3.043622
## [3081] 3.960144 2.835577 3.074273 4.802505 3.828964 5.290176 4.465329 4.635786
## [3089] 4.540334 3.215681 2.054803 2.284805 5.005865 4.435264 2.927386 4.258258
## [3097] 4.331914 4.503774 3.976555 4.335077 5.552639 4.312244 2.865298 4.339561
## [3105] 2.860551 2.791532 3.481227 1.651754 3.192099 5.001764 4.443746 3.017062
## [3113] 5.216205 3.336616 2.896079 4.329495 2.922090 4.707430 5.638762 3.682733
## [3121] 6.187038 3.906758 4.016180 4.006271 3.881332 1.576763 5.211215 2.019062
## [3129] 3.200933 3.417823 3.061755 3.728392 3.649458 4.113131 3.919374 4.065245
## [3137] 3.960032 2.660830 4.242178 5.193496 2.174743 5.310167 4.222893 3.174316
## [3145] 5.155649 3.887386 3.685951 3.030647 4.645290 5.361067 2.249339 5.383786
## [3153] 4.277481 5.085849 2.357551 2.366871 3.545164 1.854332 4.503515 3.175821
## [3161] 3.762944 3.212260 2.788597 4.973962 4.297700 2.821032 3.112670 2.748762
## [3169] 2.111526 2.340285 5.598453 2.805908 3.064237 5.034792 3.367641 4.083038
## [3177] 3.733264 2.739909 4.480899 3.905265 3.853257 2.953740 2.409491 5.285970
## [3185] 1.692894 2.507164 3.057197 3.059295 5.163442 4.352875 4.401516 3.168156
## [3193] 5.835768 3.624983 3.286417 2.272041 4.273525 5.088460 3.003791 2.922251
## [3201] 3.029629 2.279017 2.614820 5.101794 5.154791 2.390765 2.727032 4.454228
## [3209] 3.194155 2.422876 2.206166 3.785557 3.767156 2.188956 3.506235 3.903096
## [3217] 4.131082 3.363551 3.741827 2.201043 2.198156 4.141608 3.083689 3.903428
## [3225] 2.856157 3.835222 4.020310 5.494175 3.728503 3.829241 2.694838 1.460629
## [3233] 1.714565 2.872551 2.407892 2.625131 4.396288 3.739332 4.496151 3.625181
## [3241] 4.106095 3.095473 3.432073 5.386900 3.675782 3.509898 3.797459 3.917863
## [3249] 3.421665 2.887249 3.876851 2.712993 2.846658 2.392208 3.291032 3.743006
## [3257] 3.048663 4.472945 2.806783 3.534210 2.769045 2.847935 4.646227 4.955390
## [3265] 4.735365 5.817922 3.666708 2.869522 4.363340 5.186664 4.409935 2.405472
## [3273] 4.294039 5.655831 2.519689 3.571692 4.480826 2.181808 5.002130 4.985286
## [3281] 3.658837 4.664872 3.847181 2.527483 2.332270 3.523161 5.117543 4.992911
## [3289] 4.604972 3.730115 5.560587 4.532698 2.833040 2.899845 4.966013 4.262300
## [3297] 2.580576 3.253625 3.761429 3.730998 3.809528 3.644986 3.458058 4.074701
## [3305] 3.243965 5.297100 1.535149 2.973500 2.180823 5.535058 2.991189 2.270578
## [3313] 2.364625 4.197036 2.834456 2.355147 5.315163 3.796067 2.771572 5.298598
## [3321] 3.672096 3.417611 5.456477 3.132114 2.045256 4.451183 1.683500 4.305760
## [3329] 6.453758 4.255094 2.676011 5.740341 3.007138 3.926487 4.612690 5.715121
## [3337] 3.101255 4.816381 1.779673 2.677612 2.265189 3.668423 2.165107 4.397873
## [3345] 4.680098 3.108176 4.428166 2.640109 4.983467 3.225437 2.423744 3.845502
## [3353] 3.027059 4.535555 3.748930 4.898544 3.824706 4.632473 3.827844 5.261090
## [3361] 5.272562 2.762884 1.751942 5.342760 2.734496 3.232908 5.204231 3.897652
## [3369] 4.369171 3.024584 3.601518 2.150628 4.246769 5.592636 2.879241 4.137047
## [3377] 4.822762 4.580325 5.038735 4.780478 4.745322 2.119959 2.426665 4.541819
## [3385] 2.665416 4.289975 3.085479 3.229305 3.703865 3.816689 2.792643 5.470801
## [3393] 2.367280 2.939213 2.259349 4.107983 3.133383 3.708173 3.732157 1.813679
## [3401] 3.247198 4.469996 2.284101 2.773953 3.155137 1.681049 3.928618 3.001318
## [3409] 4.155060 2.786243 1.700686 3.509379 2.925328 4.654783 4.428196 2.147171
## [3417] 3.602415 3.203030 4.281702 3.968901 3.142812 3.921166 5.115559 3.688599
## [3425] 5.791047 2.303807 4.570930 4.706676 5.273629 3.060898 3.577714 3.052406
## [3433] 4.945574 4.483428 6.402999 2.786043 3.284463 5.033536 4.680346 3.190139
## [3441] 2.131532 4.020946 2.790209 2.813639 2.762182 5.784572 2.946068 3.513739
## [3449] 5.183397 3.754129 3.623441 3.796129 5.581779 4.451404 3.430378 5.220462
## [3457] 4.441933 3.633881 2.273066 4.631395 4.926607 2.141315 4.977739 4.026111
## [3465] 4.124809 2.146768 3.100569 3.874485 5.670093 2.707924 2.263418 2.224346
## [3473] 2.104880 3.034896 4.650127 2.999223 5.833305 2.938658 3.192695 3.244626
## [3481] 2.764692 3.917845 4.338957 4.320417 5.005446 2.850135 3.229560 2.209021
## [3489] 4.803051 4.096105 3.950729 2.723153 1.535148 3.103207 6.269279 3.193706
## [3497] 3.059390 4.712089 4.052549 3.961774 3.271422 3.812414 4.368874 3.119830
## [3505] 2.852440 4.253989 2.757277 5.213064 3.229387 3.381525 2.608356 2.240035
## [3513] 5.118835 3.783630 4.727407 4.733962 4.421967 1.554851 2.255124 5.265386
## [3521] 4.700345 5.782335 3.843537 3.863707 4.557569 4.329709 2.931894 1.723324
## [3529] 3.575328 4.026647 4.456377 3.999561 2.957463 4.445302 2.805304 5.227842
## [3537] 1.770367 3.407040 2.230083 2.155472 2.902356 4.391196 4.795417 3.433323
## [3545] 3.048013 2.457266 5.451903 4.916935 2.283174 2.760795 2.982238 3.079178
## [3553] 3.460966 3.979965 3.038815 2.380531 3.196353 4.592994 4.302827 2.274117
## [3561] 4.835789 2.246217 3.126116 2.486881 3.244518 2.294374 4.286006 5.182128
## [3569] 4.225474 6.568561 2.995427 4.234931 4.496440 3.384583 4.844769 3.010929
## [3577] 5.518223 2.642005 3.678821 3.644244 3.924637 3.032449 2.180412 4.129570
## [3585] 4.626827 4.037950 2.257178 4.445570 3.793674 3.756777 4.119989 2.949562
## [3593] 2.185102 2.949311 2.889496 3.778208 4.604336 1.833235 3.248962 1.729021
## [3601] 2.229952 3.787254 2.233626 3.061979 4.458214 2.407518 4.365309 4.012243
## [3609] 3.389773 2.069534 3.624164 3.373282 3.770200 2.612660 2.226693 5.025923
## [3617] 3.228789 3.758199 3.785667 2.847273 5.631653 3.741877 2.685457 4.103623
## [3625] 3.050725 3.113028 4.090844 6.106521 4.392719 2.774591 4.468172 3.827664
## [3633] 3.139182 5.986436 2.160673 3.141748 2.857923 3.789987 4.031373 5.314118
## [3641] 2.828285 4.756092 3.464992 4.284846 3.805239 4.835767 3.537138 2.744263
## [3649] 6.170329 3.681427 3.855616 4.541111 5.267562 3.041665 2.705311 4.168568
## [3657] 2.418552 1.597695 3.160257 3.797290 2.418143 4.230797 2.855717 3.933746
## [3665] 3.931063 4.637445 3.090008 2.562683 3.361056 2.782083 4.351858 3.769453
## [3673] 2.798095 2.443113 4.357189 4.093565 4.757639 3.986545 4.395287 1.990162
## [3681] 3.586792 2.129871 2.962118 1.903957 1.982067 2.926340 4.595983 2.796451
## [3689] 3.117612 4.327077 3.363341 2.964589 3.888002 3.388353 2.698957 2.925722
## [3697] 4.347493 4.993676 3.901411 5.068373 3.870285 4.723773 3.265384 4.268225
## [3705] 5.191331 3.715007 4.622572 3.752184 5.019115 4.115568 3.453025 4.041893
## [3713] 2.780956 2.386888 5.000566 2.697042 2.239529 3.020479 4.941225 2.894816
## [3721] 2.328835 4.068573 4.012354 3.923064 2.292236 4.664138 3.995209 5.250576
## [3729] 3.253356 5.855074 6.130334 2.146842 4.271721 3.699284 3.899530 3.206452
## [3737] 3.504725 2.836968 4.093230 4.382725 4.078120 3.794151 2.122503 3.126770
## [3745] 4.570799 1.929207 2.738334 2.871397 3.515378 4.423726 3.340732 4.531503
## [3753] 2.874521 3.909973 3.451083 2.884161 2.384884 4.135754 3.018871 3.717531
## [3761] 5.264641 4.629405 3.912736 1.877550 4.290088 4.063757 5.264825 4.249853
## [3769] 5.314385 2.282174 3.803402 2.314159 2.871823 5.069574 2.848139 3.600176
## [3777] 3.997558 2.861681 5.553623 3.228010 5.904380 5.085983 3.272394 2.724821
## [3785] 3.158045 2.133450 4.055390 2.671319 4.095870 4.395600 4.033674 4.727243
## [3793] 3.215256 3.196059 3.981228 2.360090 5.204544 2.251925 2.817302 4.431585
## [3801] 2.423752 2.806891 3.891417 2.211056 5.740447 3.955369 4.517385 2.059571
## [3809] 3.246110 4.523311 2.559004 4.710612 3.151066 2.623134 2.654059 1.784001
## [3817] 3.313753 4.694422 2.550740 2.380987 3.145920 2.734268 4.039132 2.266905
## [3825] 3.635392 4.533811 4.979262 4.978711 4.798459 4.462859 1.501478 3.428257
## [3833] 4.819278 2.911839 4.263759 2.526688 4.426182 2.866554 3.663568 4.534041
## [3841] 3.290334 3.000067 2.143849 2.608636 4.680634 4.909847 4.607384 3.676585
## [3849] 4.352278 2.777272 2.290539 2.592882 4.125370 1.795997 3.891361 3.359087
## [3857] 3.627023 3.841060 4.025559 5.131965 4.890381 2.123721 4.972987 4.294075
## [3865] 3.363935 2.103076 1.681110 2.759978 4.268619 5.789429 2.267642 2.309745
## [3873] 2.778152 4.424535 4.514825 4.424098 2.951152 4.550385 4.622579 5.127812
## [3881] 5.073377 3.225418 5.864885 3.094838 4.317737 4.252632 2.830427 4.350542
## [3889] 4.550528 3.827098 5.546350 1.705312 4.441458 2.833289 3.957537 4.602936
## [3897] 4.372544 2.763220 2.055438 4.313411 2.260001 6.186029 2.923742 2.810047
## [3905] 4.687546 3.102478 3.030963 2.268837 4.701489 4.548224 3.761978 3.474242
## [3913] 3.359512 2.443901 3.204094 2.859031 2.868031 4.049434 2.776579 4.886722
## [3921] 3.049077 4.754459 4.696449 6.274193 5.035665 3.840965 2.734132 4.278377
## [3929] 3.735139 4.314233 3.077177 4.891458 2.854177 1.646176 4.688769 3.171623
## [3937] 2.574906 2.864717 3.925934 4.681643 4.348224 4.471015 1.787743 3.184593
## [3945] 2.727327 4.031561 3.985563 2.495866 2.168116 5.781385 1.646339 5.045781
## [3953] 3.905933 3.132904 5.231873 4.871966 3.302643 3.980939 4.355950 1.736918
## [3961] 2.276768 2.205183 3.011780 3.201359 3.413399 4.166946 4.372894 2.246859
## [3969] 3.911727 4.796885 4.140112 5.816797 2.926821 2.770931 3.929418 2.804412
## [3977] 2.225387 3.764769 4.053941 4.367870 2.523435 3.900519 3.521046 2.239849
## [3985] 3.283327 5.228080 3.786491 2.324361 5.461835 3.070442 1.737668 2.920913
## [3993] 4.034262 3.142875 4.213552 2.762401 1.821390 3.287609 5.328161 4.536014
## [4001] 3.473887 3.895290 2.658507 4.064272 4.539988 2.869248 5.177113 4.581310
## [4009] 2.435835 3.815314 3.913799 4.147703 4.868113 2.335150 2.109821 2.148881
## [4017] 3.693944 2.175074 5.733032 3.734113 2.656287 4.202817 3.222323 3.786139
## [4025] 3.079355 3.920369 2.901912 3.364227 2.227878 5.751414 3.299064 3.827934
## [4033] 4.835237 4.464477 2.733393 2.255954 4.185170 2.260655 2.485668 2.817509
## [4041] 2.865555 4.373130 2.828157 5.351806 2.229830 5.364911 4.347371 2.365108
## [4049] 3.313291 1.707991 3.788280 5.279087 3.209265 2.260259 3.858620 5.748308
## [4057] 4.750506 3.190048 2.724252 3.068300 2.444237 6.005133 2.254106 4.037639
## [4065] 3.986156 3.871620 5.168447 3.312562 4.742660 5.084327 3.484175 2.841696
## [4073] 4.454847 2.760958 3.835342 2.304332 2.277970 3.141750 4.107394 2.823927
## [4081] 3.078481 1.547514 6.273080 2.586622 3.768714 2.846274 2.386993 4.498849
## [4089] 4.175035 4.010584 3.211924 4.292129 5.101908 3.962029 4.305762 4.463377
## [4097] 2.260322 5.064315 5.064273 5.297224 3.411652 4.210738 4.401453 5.492490
## [4105] 2.209469 4.180332 2.692050 5.017570 4.030749 4.665347 3.843461 2.771090
## [4113] 2.249288 2.634334 4.760325 5.220094 3.967949 1.931685 3.455865 3.855400
## [4121] 2.879620 3.302136 2.215819 3.887996 3.347308 4.532909 2.842249 3.943444
## [4129] 2.946504 4.101838 2.499352 3.117607 3.785972 2.853574 4.101142 2.100869
## [4137] 4.648274 3.107997 2.077481 3.956320 3.843440 3.455042 3.164433 3.902374
## [4145] 2.642975 4.704923 4.532624 3.070184 4.411339 2.354130 5.811290 2.899415
## [4153] 2.798429 4.444564 2.844040 3.743998 2.713372 4.819628 1.913032 3.753361
## [4161] 4.285470 2.984202 5.370698 2.161131 3.186180 2.219421 4.193021 4.321677
## [4169] 2.915748 3.897928 3.672866 3.855804 3.984411 5.171949 4.517663 4.412425
## [4177] 4.656559 1.839086 5.076091 2.895205 3.009077 2.599639 3.133463 4.963188
## [4185] 4.222705 2.478260 5.033969 4.212224 4.488784 2.740240 2.366768 4.445589
## [4193] 3.798130 4.304165 3.700227 5.372722 3.283916 2.212784 2.975304 5.260112
## [4201] 2.170798 1.714318 1.845078 2.183537 3.000627 5.350196 3.147767 4.440663
## [4209] 4.467741 2.498802 3.539599 1.698532 4.019011 2.685814 2.180116 4.534966
## [4217] 3.871440 4.008151 4.465435 4.513261 3.178074 5.109759 2.675836 2.766707
## [4225] 2.268299 2.813523 4.119980 4.220003 3.070184 1.466334 4.446763 4.011867
## [4233] 5.527412 3.230969 2.630022 4.457730 3.653313 5.100888 3.707710 4.889074
## [4241] 3.840759 4.444530 4.283830 4.343180 3.103915 3.616719 2.979000 3.759151
## [4249] 3.667295 2.812534 3.357539 5.102848 4.527999 4.929557 3.327823 2.794341
## [4257] 3.158183 2.292745 3.255345 3.998683 3.902753 4.249936 4.342813 2.916590
## [4265] 3.662093 4.483463 3.619848 4.767921 3.843672 3.285185 3.588288 5.474676
## [4273] 5.059992 2.744372 4.471052 3.719638 5.058346 4.931043 6.055398 3.772778
## [4281] 2.497708 2.322332 2.207662 3.819347 3.638277 2.862418 4.434409 2.824662
## [4289] 3.105246 3.300397 2.152844 4.335213 3.839228 5.746469 2.821230 4.612893
## [4297] 2.773559 1.691482 2.962258 4.984083 3.811127 5.221969 5.733149 4.009934
## [4305] 4.134140 4.043179 2.202502 2.311583 5.830478 3.708939 4.670573 2.138513
## [4313] 4.414918 1.700758 5.354216 2.248679 3.233645 3.501146 3.168902 2.368215
## [4321] 3.175608 4.450576 3.597505 2.306213 4.243075 4.465959 3.268707 4.536989
## [4329] 3.255944 4.337656 4.457575 6.592793 2.244162 2.951587 5.440986 4.138256
## [4337] 4.396532 2.662760 3.403412 1.680658 2.081333 4.007246 4.347116 4.577056
## [4345] 3.240372 4.454089 2.940650 4.370234 4.649682 1.682068 3.314475 2.911395
## [4353] 4.441913 2.687200 4.682302 2.927871 4.162369 4.018163 2.284941 3.806967
## [4361] 2.818109 3.984741 4.258514 2.705546 2.977286 4.302083 5.762141 4.406360
## [4369] 3.934775 4.442309 5.611200 3.438972 4.262547 4.274041 3.863220 4.282861
## [4377] 3.351923 3.856658 2.540934 4.600047 4.189590 3.730682 2.566312 3.133739
## [4385] 5.076547 4.295568 4.987078 2.831230 6.151159 5.785295 3.972447 4.765268
## [4393] 2.849449 4.232867 3.812563 4.208135 4.485998 4.098595 5.061280 6.788529
## [4401] 4.745982 3.854808 3.891677 3.006769 4.504429 2.952927 2.859599 4.575815
## [4409] 4.211265 3.785041 2.734117 2.815723 2.779449 3.534687 5.038991 2.258297
## [4417] 4.022288 2.796203 2.781008 3.502550 3.107772 4.112752 3.263610 3.889137
## [4425] 4.544740 2.234029 4.009776 3.217439 4.197861 3.816023 3.050390 3.305488
## [4433] 4.716678 3.983175 2.928869 2.210552 4.258505 2.939373 3.914820 4.052291
## [4441] 3.684760 2.607788 3.660731 3.461506 3.681767 2.999100 3.017531 2.167627
## [4449] 4.253575 4.583670 2.756623 2.072622 4.928428 4.727454 3.016855 2.805202
## [4457] 2.656177 3.909111 3.366587 4.656898 2.072120 3.132013 3.456373 3.462453
## [4465] 4.886268 2.711227 3.217452 3.835421 3.751977 5.717770 1.620178 4.187118
## [4473] 5.207102 3.740641 4.574670 2.743769 3.891199 4.912713 2.263092 4.437869
## [4481] 5.995814 4.964373 5.079070 4.561617 2.173230 2.550530 6.188585 2.232805
## [4489] 3.188629 4.530635 5.530586 4.425762 2.142198 3.365764 3.869316 4.488102
## [4497] 4.413140 2.959155 2.724613 6.487530 2.655041 5.204135 3.967010 4.379913
## [4505] 3.114447 2.639195 4.557120 4.513191 1.786277 4.328333 2.965734 4.522973
## [4513] 4.916263 6.059150 2.041837 2.839524 2.648863 4.522129 2.812111 3.532343
## [4521] 2.273356 3.785976 5.190755 4.050487 4.256968 4.374678 3.903557 2.315722
## [4529] 2.312469 3.644668 4.859062 3.053156 2.409312 4.582544 3.182094 2.758183
## [4537] 2.093329 2.997730 2.888736 3.564139 4.170686 5.770661 4.278256 4.165282
## [4545] 4.338462 3.926932 2.192863 2.691697 4.461343 3.432834 4.417698 3.359875
## [4553] 3.929884 3.990152 5.287789 3.872530 2.117386 2.133633 2.791230 3.255968
## [4561] 2.934917 4.486469 3.080338 3.342455 4.528090 4.242998 3.122473 4.966033
## [4569] 3.800538 3.403831 3.294421 2.207202 2.487420 4.192471 2.958049 2.923268
## [4577] 5.787923 2.614073 5.666276 4.101798 2.997917 4.010780 3.272389 2.249040
## [4585] 2.527147 5.358262 3.051685 2.917597 3.873668 3.719838 5.069493 2.949010
## [4593] 5.668947 4.651553 2.527845 3.069320 2.034755 4.380151 2.933016 2.954208
## [4601] 5.909508 3.266912 2.206530 3.244346 2.895142 3.830304 4.435133 5.072083
## [4609] 4.101898 2.734335 3.061867 2.869346 2.848365 4.204449 4.649615 5.561198
## [4617] 2.121251 2.831709 3.333130 3.050437 4.709491 5.045522 3.999910 5.122290
## [4625] 2.718340 3.171661 2.229768 2.774102 5.088707 5.113464 1.888567 2.979040
## [4633] 2.771035 3.621385 3.039506 5.727440 5.761484 3.448489 2.890989 3.794027
## [4641] 4.664043 4.006245 3.478698 3.980314 3.876213 3.341421 4.066565 4.962623
## [4649] 3.109046 2.599612 4.965507 2.721581 3.416191 4.464356 5.029725 2.810248
## [4657] 4.728672 4.033424 2.783114 3.043077 2.817739 2.695365 3.126114 2.495892
## [4665] 2.782471 3.024087 2.604446 4.508119 5.958898 4.507050 4.585427 2.339920
## [4673] 5.030110 2.315632 3.925604 2.657871 4.217009 3.308984 4.139213 4.103085
## [4681] 3.985880 3.088476 4.376801 4.000580 4.525380 5.898105 4.473813 2.590760
## [4689] 2.730425 3.847906 2.676313 3.906295 3.631558 3.729473 2.133377 2.116875
## [4697] 3.810179 4.518179 1.708605 2.702270 4.716604 4.835392 2.269946 4.288927
## [4705] 4.454576 4.536719 5.005439 5.280587 2.371796 4.009284 4.776161 3.428609
## [4713] 5.750288 1.866472 2.287550 2.746137 5.179925 3.911573 3.447561 4.476282
## [4721] 4.006413 3.356274 4.172936 4.646542 2.846650 2.370247 3.221308 4.277004
## [4729] 4.739501 4.134767 2.025043 4.037230 3.938977 5.003958 5.841674 2.880677
## [4737] 3.045538 2.833573 3.940052 3.989536 2.659766 3.155339 4.785732 4.923752
## [4745] 4.006109 4.288502 2.274493 4.497033 3.928026 2.954147 2.046576 5.796029
## [4753] 4.307231 3.551707 4.461480 3.975585 5.806628 3.253248 4.119987 2.370843
## [4761] 2.847246 3.772120 1.598888 4.459381 4.577814 4.987993 2.294190 3.971768
## [4769] 2.858975 4.095033 2.943907 3.757160 4.689092 3.114820 4.484491 2.783608
## [4777] 4.990623 4.120182 4.126201 3.196460 2.523337 4.337087 1.586143 1.809665
## [4785] 1.516369 3.896528 2.882547 2.201326 3.061375 5.964248 3.008525 3.874388
## [4793] 3.795310 4.480694 4.514761 4.426585 4.440523 4.260159 4.888540 2.764368
## [4801] 2.589150 2.620507 3.857816 3.897616 3.910106 3.886161 2.242306 4.504531
## [4809] 3.828132 2.176520 4.041809 4.322429 5.100564 6.474425 5.060707 2.249394
## [4817] 3.953032 2.811339 3.351527 3.969818 2.688674 4.492009 4.996636 3.283031
## [4825] 3.054688 3.732359 3.957226 3.560731 3.848540 3.972219 3.408736 5.057831
## [4833] 3.999435 4.413480 3.824918 3.298886 3.947050 2.833555 2.717647 2.285442
## [4841] 4.024494 3.067461 1.692151 2.777536 5.199887 5.120607 4.538665 4.450263
## [4849] 4.148935 6.001085 4.512459 3.256916 4.304945 3.523477 2.937877 4.265508
## [4857] 4.338078 4.257395 5.714353 2.440528 4.299984 5.355466 2.169824 2.810617
## [4865] 2.224118 2.774436 5.489232 3.007973 2.777755 2.242402 2.235056 4.109857
## [4873] 3.660319 2.514921 1.712119 3.903804 4.724948 3.750847 3.168680 4.431091
## [4881] 3.431176 2.354239 3.143084 4.902027 4.793885 2.174438 2.741100 2.823269
## [4889] 3.774195 1.832711 2.723707 5.850078 4.253581 2.319305 3.752501 2.691089
## [4897] 2.342049 2.361794 3.891666 2.254881 3.869473 2.227871 4.192950 4.453693
## [4905] 4.162615 2.720492 3.694975 2.314133 4.427366 4.191457 4.237297 5.992688
## [4913] 3.858631 5.680600 2.144963 3.231593 3.082723 2.181673 4.348063 2.811833
## [4921] 4.084954 3.254427 2.428799 4.100598 2.759060 3.002572 6.464786 3.778076
## [4929] 2.169860 5.703714 2.275916 2.192945 3.926710 3.577580 1.669110 2.762434
## [4937] 1.849055 4.556080 6.716851 5.849552 4.244415 5.952293 2.254315 2.995821
## [4945] 2.269014 3.387808 4.569323 3.760548 3.276104 4.514709 3.944934 3.084552
## [4953] 3.098273 2.626852 4.095456 3.596460 2.773625 2.795479 2.147862 3.028701
## [4961] 2.186501 2.380186 2.154347 4.147114 2.985313 3.436064 4.751379 5.028548
## [4969] 3.815290 4.329423 3.029186 5.636536 2.499670 4.013865 3.103955 4.523722
## [4977] 3.859577 4.352673 3.014822 4.321035 3.976322 4.159147 2.713935 5.580002
## [4985] 4.339848 3.736128 4.158846 4.055799 3.969258 3.096102 4.459836 4.638287
## [4993] 5.408259 5.328109 3.935972 2.784088 3.536341 4.323777 4.465741 3.456928
## [5001] 1.722586 4.252148 3.104474 2.996945 3.101782 5.036610 2.766190 2.311007
## [5009] 2.570251 3.216150 2.733533 3.757615 2.919026 1.750559 2.428117 4.211631
## [5017] 2.596123 2.878361 2.217512 2.890303 5.390742 3.843034 5.299517 2.244895
## [5025] 2.795342 2.371861 4.308375 3.258450 3.101559 5.825233 4.620338 3.904338
## [5033] 5.720663 3.345554 6.105707 3.820784 3.230331 2.773531 4.252721 4.165419
## [5041] 4.876544 3.083869 3.771286 3.113525 4.415538 3.350233 2.798500 2.859041
## [5049] 2.725740 3.308614 4.378100 4.810493 6.554814 4.250736 4.097508 1.818769
## [5057] 4.228844 2.750776 2.802104 3.184535 3.692844 3.211588 5.749939 5.393032
## [5065] 2.967666 3.641301 4.673397 2.797347 2.225201 4.367647 3.940951 3.157724
## [5073] 4.460624 3.940613 2.939810 5.909300 5.765029 3.872797 4.603697 3.037714
## [5081] 2.490276 2.914282 3.962611 2.520073 3.875963 3.344592 5.355719 1.872090
## [5089] 3.320265 2.821752 2.637324 1.195268 2.215248 4.839480 3.501655 3.147003
## [5097] 2.925724 2.923053 4.591134 4.408478 4.777129 5.723615 2.213433 5.642710
## [5105] 2.342090 7.218432 2.542597 2.973724 4.757140 4.361753 5.134821 3.146316
## [5113] 3.761599 3.913916 3.900611 4.567067 3.021548 2.982669 3.205944 2.926805
## [5121] 2.892029 3.885023 4.581485 2.050073 3.988623 4.683800 4.632299 3.179038
## [5129] 2.234853 3.276141 4.458164 4.259460 2.120749 2.225077 3.120689 4.879566
## [5137] 4.326633 3.878647 3.856609 5.168382 5.115206 4.667598 4.618414 3.663450
## [5145] 6.021408 2.284410 3.432538 4.207477 4.371418 4.498925 2.170344 4.069659
## [5153] 4.662696 3.889286 4.019810 2.912321 2.351034 3.758237 5.329269 4.487390
## [5161] 3.861482 4.688891 2.840801 3.786786 3.129704 4.725049 4.891955 3.952493
## [5169] 3.814586 1.697084 2.872028 2.740923 5.052091 4.980962 2.880947 4.637741
## [5177] 4.546691 4.439784 5.833379 3.228464 4.448106 3.645452 3.348668 5.670058
## [5185] 3.981269 2.888156 3.598471 4.648112 3.985494 4.216241 4.855605 4.366567
## [5193] 4.171883 4.252628 3.133680 2.637467 4.564046 3.587435 2.252470 3.687023
## [5201] 4.755424 2.975329 3.019336 3.807667 3.901491 2.760815 2.760175 3.230287
## [5209] 2.252598 3.085491 1.662578 4.339685 2.903475 2.458270 4.944594 2.771754
## [5217] 4.049581 3.437198 2.891112 1.944111 3.665778 5.325889 3.327604 3.107406
## [5225] 3.624100 4.154521 3.619319 5.008555 3.103113 4.816682 4.685459 2.709850
## [5233] 2.305988 4.492277 2.568203 3.913252 3.694940 1.723032 3.935430 3.486684
## [5241] 3.648918 2.637574 2.846852 3.526589 2.381317 5.142702 2.682353 4.352686
## [5249] 4.144795 5.453029 5.067511 2.712102 3.963461 4.385519 5.498602 2.713232
## [5257] 4.414239 3.816781 6.267655 1.735211 4.914315 4.523649 1.732916 2.163619
## [5265] 2.216485 4.942214 4.590709 2.879402 3.339642 4.677702 4.524421 2.898685
## [5273] 3.385445 4.944617 3.448857 2.967404 3.192677 2.626321 4.993348 4.803060
## [5281] 2.344105 4.050295 4.267202 2.664508 4.484810 5.576129 3.843771 4.375068
## [5289] 2.940145 4.182779 4.690053 3.630871 2.322277 4.908806 2.761864 3.808803
## [5297] 4.055813 5.208224 2.830522 3.870098 3.852217 4.476007 4.489082 4.580647
## [5305] 1.895279 3.923021 2.769941 4.943703 5.072074 4.410181 3.775826 3.354595
## [5313] 5.190800 4.865027 4.345206 3.147151 4.314513 3.900408 2.661682 3.831022
## [5321] 3.181231 4.547606 3.760546 3.962233 4.263831 4.006535 4.288938 2.931027
## [5329] 3.142045 2.196598 2.083707 3.869736 4.924057 4.848050 5.040882 5.645096
## [5337] 3.780111 3.031457 3.459995 3.854736 3.127663 3.039004 4.582393 5.463176
## [5345] 2.799106 3.609575 3.805133 3.102292 2.409352 3.007166 3.667644 2.167254
## [5353] 5.810133 3.673638 4.387158 4.384415 2.792523 2.775500 2.373149 2.359429
## [5361] 3.160195 3.930748 4.689180 4.568366 1.448505 1.748061 3.977956 2.851566
## [5369] 5.968181 3.452434 2.384901 4.682943 3.057956 3.858328 4.923666 4.646743
## [5377] 3.172360 4.113985 2.244102 3.283136 4.501833 4.292144 2.832978 6.411762
## [5385] 3.105273 4.956537 3.804724 4.250516 3.940046 2.262283 2.210452 2.971531
## [5393] 5.895978 1.688190 1.929234 4.612585 4.453496 4.313344 2.986562 2.825768
## [5401] 5.068779 4.669410 1.788304 2.647488 3.848028 1.703029 2.062605 3.748380
## [5409] 3.121317 5.722563 4.193247 5.416578 2.652671 3.954741 2.899603 3.910165
## [5417] 2.128090 3.870284 4.221299 4.400749 2.021837 4.288560 2.140159 3.718469
## [5425] 2.244982 3.627818 3.007962 3.406758 4.514513 5.202932 5.131931 4.179277
## [5433] 5.300900 4.919745 2.088801 5.712860 2.767855 4.249271 4.473764 1.803456
## [5441] 1.687875 3.820619 5.440001 3.917622 2.188167 2.821920 4.046043 2.505798
## [5449] 3.280957 2.873148 2.690517 4.603874 3.839622 2.781880 2.815373 3.680490
## [5457] 2.989818 2.966776 3.527148 1.974202 1.717139 3.261265 4.189419 2.094085
## [5465] 3.590787 2.800129 3.316361 5.095623 2.248923 3.223473 1.859557 2.697076
## [5473] 2.879124 4.348807 2.142349 2.954030 4.685886 4.938116 2.075580 4.698222
## [5481] 3.133140 2.781425 4.855429 5.559430 2.255147 2.817999 5.193377 3.136475
## [5489] 2.814096 3.135394 2.838057 2.679682 5.215746 2.162219 2.119109 3.123631
## [5497] 3.158818 4.138431 3.126089 2.243970 4.309403 1.479319 2.853676 3.673828
## [5505] 5.518852 4.398929 5.574743 4.029974 3.921804 4.670018 4.317545 2.568044
## [5513] 3.795841 4.962748 4.434530 6.086797 3.607587 1.872145 3.726697 4.024313
## [5521] 5.849226 2.935733 3.760548 2.793687 4.574664 1.677022 2.816405 3.443214
## [5529] 1.737921 4.890289 5.068311 4.826110 3.247091 4.610812 3.031473 2.210842
## [5537] 2.130624 4.554081 4.446948 2.292223 4.973936 4.455498 4.872055 4.256130
## [5545] 3.732746 1.897005 2.070360 3.529242 5.640857 2.303400 3.982292 3.770677
## [5553] 2.710754 2.972401 3.859181 3.546870 2.791091 4.980951 3.363601 4.677095
## [5561] 4.535364 6.405137 5.259004 4.224741 1.875623 1.574868 3.929991 4.331934
## [5569] 3.556653 5.846034 4.657111 5.573601 4.429792 4.660473 2.473149 3.738695
## [5577] 2.481893 3.773399 6.002160 2.794667 4.847399 1.841638 4.459276 2.417183
## [5585] 2.815213 4.861606 1.696186 3.251114 3.242343 2.243931 3.304958 2.928992
## [5593] 4.852951 4.403104 4.679869 4.606013 2.656119 4.088893 5.134719 4.513247
## [5601] 4.939113 4.988412 3.307755 4.032908 2.207725 5.584261 4.241481 4.349225
## [5609] 3.534860 3.792413 4.515323 4.375657 4.705950 5.020790 4.559957 3.103915
## [5617] 2.899109 4.378916 2.571645 3.220658 4.203359 5.551430 4.194432 2.861195
## [5625] 4.860545 2.291929 3.367966 5.096997 3.937176 5.156400 4.365243 3.882434
## [5633] 3.173602 5.836985 2.269503 4.518824 2.677724 4.595089 4.099829 3.100919
## [5641] 2.251305 3.116778 3.099217 2.346437 2.755512 2.956375 5.818524 3.204497
## [5649] 5.298511 2.323686 5.552817 4.254853 3.088500 4.375771 3.151900 3.814781
## [5657] 4.814464 4.680707 4.960537 3.829298 3.872862 3.155624 3.403594 2.251769
## [5665] 2.202085 3.806035 3.544896 4.370665 2.922764 4.324155 3.094830 3.546713
## [5673] 3.136814 4.300725 4.281926 3.874502 4.423685 3.030330 2.389676 2.459027
## [5681] 3.024117 2.625013 4.991956 3.218865 2.725772 3.836107 4.695080 3.320500
## [5689] 4.376948 3.466414 4.697130 2.398773 2.727208 4.149052 3.768896 2.367761
## [5697] 2.699210 3.428624 3.278433 3.425463 1.470403 2.991337 3.829772 3.810914
## [5705] 2.359172 3.578576 6.250749 3.721019 3.176208 3.813486 3.766358 3.015021
## [5713] 3.164258 5.233942 3.559577 3.681631 4.579147 4.006374 2.068398 3.838501
## [5721] 4.561160 2.230830 4.481390 4.859914 2.606759 3.177062 3.010050 4.484236
## [5729] 5.296035 2.368355 3.118298 2.680342 3.122615 3.199507 4.878496 4.223969
## [5737] 4.473046 2.826653 4.216782 2.278950 3.056033 4.142374 2.683191 3.403423
## [5745] 2.780949 3.861099 2.348628 3.553535 4.299773 3.850018 3.215953 6.132773
## [5753] 2.376469 1.750163 5.135536 4.732895 5.125245 2.210955 3.084140 2.832139
## [5761] 3.108992 4.835149 1.772791 3.620993 3.139736 2.106535 3.616733 3.116439
## [5769] 5.117571 3.643402 5.094696 2.344825 2.271531 2.256758 4.452807 2.974163
## [5777] 2.218829 3.971578 4.824237 4.295112 3.914044 4.688741 3.397273 4.475518
## [5785] 4.230801 3.146782 5.534892 4.393176 4.154888 2.826475 2.187819 2.839737
## [5793] 4.195561 5.211151 4.111789 4.405230 4.381265 2.890689 3.953039 3.016257
## [5801] 4.638105 4.345397 2.215277 2.726884 3.695402 3.313517 3.183493 4.338868
## [5809] 4.909573 2.929104 1.761325 2.946344 4.986175 5.822618 3.934316 2.267512
## [5817] 4.172645 4.618580 4.133873 4.377470 1.796381 2.754307 3.701878 4.418914
## [5825] 3.015276 2.943360 4.192879 4.601619 4.094396 3.947790 1.530915 4.152484
## [5833] 4.268856 2.806177 2.777643 5.050094 3.676375 4.743967 4.442755 3.251940
## [5841] 4.268948 3.409957 3.800549 2.854134 3.982495 2.151004 4.519801 3.308725
## [5849] 2.659696 4.729048 2.802754 5.751873 3.666218 3.743730 2.874851 5.458419
## [5857] 4.327788 3.750164 4.555307 3.761113 2.621922 5.028381 2.741463 2.990344
## [5865] 2.924027 3.919727 4.623611 3.994299 2.926603 2.584702 3.085817 4.147485
## [5873] 3.079724 5.343299 2.822332 2.985108 2.861078 3.757683 3.199345 3.471678
## [5881] 3.230669 3.909912 4.672864 3.172180 2.370830 3.845040 3.899549 4.104309
## [5889] 2.154105 4.170489 4.438962 5.042345 3.985167 3.358917 3.523257 5.694020
## [5897] 2.901778 2.105150 2.932049 4.488880 4.309641 5.967021 4.323131 3.210665
## [5905] 4.906649 3.096358 3.918498 2.939964 3.893397 5.752046 4.903563 3.199399
## [5913] 2.844361 3.685235 3.903348 4.587673 5.030031 4.514081 3.063733 2.199904
## [5921] 3.583683 4.494089 4.185722 4.985181 3.981104 4.053667 3.410451 5.203090
## [5929] 5.218199 3.362179 4.799152 4.699731 4.355514 5.982996 4.174411 3.637121
## [5937] 3.817711 2.794605 5.881104 2.849755 4.128999 5.521490 3.293670 3.823964
## [5945] 4.424365 4.301255 2.626664 2.336536 3.822284 3.170816 2.181613 2.948084
## [5953] 2.210895 5.256424 4.434106 4.052876 3.626957 4.655967 4.362128 4.405992
## [5961] 4.082086 1.933245 4.654176 4.035646 2.921688 4.547726 3.790707 3.439932
## [5969] 3.562187 3.750555 2.938964 5.014465 3.585749 2.879362 3.462160 3.130143
## [5977] 3.886510 2.928528 2.298294 3.694603 3.728608 3.676323 4.532604 1.725616
## [5985] 3.025033 2.233132 3.008034 2.752072 2.133896 4.934729 4.227887 4.032496
## [5993] 4.179733 2.441045 4.572183 3.281226 4.382937 4.463057 1.733656 2.327001
## [6001] 3.389642 2.245466 3.930522 4.131300 3.024438 4.253020 2.686310 4.308190
## [6009] 3.017933 3.905861 4.713502 3.615075 3.892922 2.786072 3.520666 5.043650
## [6017] 4.452726 6.088466 2.193069 3.898798 4.474711 3.422071 3.107819 2.677640
## [6025] 2.288538 5.048383 3.193476 2.626363 4.334924 5.702824 3.811630 4.141155
## [6033] 5.887558 6.025764 2.520073 3.250186 4.220459 3.943649 3.517390 3.224973
## [6041] 2.781344 2.326580 3.110196 2.361519 5.129103 4.600846 2.236261 4.392388
## [6049] 3.167326 4.632951 3.936261 4.439270 4.360973 5.763445 2.706561 3.787971
## [6057] 2.130255 4.455434 4.312793 4.142860 6.619787 2.630089 4.063490 3.584157
## [6065] 2.467146 3.664546 4.356097 2.813398 4.360848 4.604484 4.598848 4.518038
## [6073] 3.740268 2.736159 4.251317 2.861387 2.232996 3.914482 3.504394 3.861121
## [6081] 3.098375 2.722775 3.083104 3.585098 3.077263 3.149262 4.882896 2.754774
## [6089] 4.031543 4.659942 4.416438 3.332290 2.329388 5.707393 3.796602 3.446330
## [6097] 4.577760 4.412966 2.709177 3.639849 3.830343 4.384856 3.574038 3.767077
## [6105] 4.274205 2.074283 4.432379 3.080889 4.151574 2.219934 4.922781 3.711000
## [6113] 5.169495 3.968875 3.875242 3.843567 4.173362 5.612449 5.185837 2.151474
## [6121] 3.600658 5.436034 4.710570 2.871354 4.703833 4.473490 2.908633 3.137034
## [6129] 3.302700 4.347874 1.754952 5.352277 2.828617 2.184921 2.638633 5.302959
## [6137] 3.121716 4.349154 4.802838 2.725128 2.735048 3.882636 3.959813 3.371875
## [6145] 3.435220 4.463714 4.329672 1.551107 3.298265 4.331334 4.404754 3.998633
## [6153] 2.928925 4.390278 4.580111 3.150243 3.261752 2.793393 5.254358 3.990517
## [6161] 3.812756 2.852479 2.765768 5.295362 5.328098 3.102357 2.378434 3.833079
## [6169] 5.138943 4.545293 5.341425 3.599064 5.131839 3.228058 2.517844 4.275319
## [6177] 2.088020 2.254563 2.110004 4.006722 4.466074 2.862442 2.231656 3.734859
## [6185] 4.979561 2.786928 3.373113 4.053566 4.299944 2.469141 4.161495 3.374061
## [6193] 4.720561 4.514165 3.744823 3.748996 2.768577 3.852666 4.412144 4.359476
## [6201] 3.877586 2.598798 3.707403 3.969068 3.242405 5.851291 1.715056 5.903274
## [6209] 3.683596 2.646924 4.286011 4.562071 4.602787 3.630454 3.534934 3.721652
## [6217] 4.293904 2.230842 3.785585 3.800223 4.006374 3.769732 3.824340 3.743102
## [6225] 1.738359 5.081642 2.309654 3.894042 4.039375 2.639679 2.092201 3.437813
## [6233] 5.264126 3.685996 4.563273 3.731149 4.404633 2.835612 3.043497 5.007309
## [6241] 4.370214 4.821828 2.665125 3.319802 5.267564 4.311169 3.551845 4.280970
## [6249] 2.797079 2.271842 4.604571 2.244119 4.770119 2.778481 4.384314 1.671544
## [6257] 4.005186 4.318342 4.650467 3.170704 4.533270 2.953173 1.642740 3.864150
## [6265] 4.257885 4.817114 2.864700 1.965641 2.635894 2.794548 3.848387 3.849656
## [6273] 4.880444 3.494042 2.863639 3.109089 3.563519 3.698933 2.237202 5.618816
## [6281] 2.697307 2.877800 7.348049 2.781102 3.960745 3.110775 3.695900 4.499304
## [6289] 3.146804 2.305539 3.211976 4.463748 4.386433 3.823768 4.341737 4.203922
## [6297] 5.249885 4.993979 3.614244 2.419297 2.303679 2.115286 3.862488 5.858479
## [6305] 2.758688 3.926407 4.792776 3.511657 3.857148 2.746220 3.285330 3.659762
## [6313] 2.726223 5.503905 2.793511 2.197233 2.673525 4.980176 3.378397 5.039169
## [6321] 5.119085 3.848668 3.139970 4.712657 4.429986 2.858127 4.371219 4.831143
## [6329] 4.654277 5.222762 4.372635 5.359627 4.498876 3.816801 2.184218 3.196560
## [6337] 3.203089 3.958732 2.300656 2.901491 3.349814 2.746562 3.942660 4.970365
## [6345] 2.815645 3.714274 6.222459 2.724516 3.708522 4.707998 2.301660 3.240383
## [6353] 2.189160 2.140275 3.513235 2.758951 4.634891 3.061003 3.573778 3.283586
## [6361] 4.901429 4.244366 2.771337 4.903195 4.978294 2.614147 3.865567 2.907590
## [6369] 4.177445 6.056413 1.621902 2.761204 3.063121 4.157541 3.832202 2.297341
## [6377] 4.662962 1.724176 4.431667 5.199858 2.732159 4.253866 2.643258 6.543147
## [6385] 4.100425 2.994669 2.325722 2.941237 4.744740 5.421246 4.534934 2.926815
## [6393] 5.049772 5.560065 2.968114 3.318976 2.813681 4.566727 3.385622 4.458571
## [6401] 3.311088 3.900632 3.004293 4.463512 3.262878 2.056343 3.369144 2.899626
## [6409] 5.130190 2.711857 4.893500 3.678287 2.296621 3.292092 3.695146 5.629306
## [6417] 3.756362 4.531223 3.974339 3.186027 4.563968 2.247355 2.782449 3.477947
## [6425] 3.864452 5.349115 2.643797 4.183452 3.747232 4.313272 4.050146 3.044939
## [6433] 3.042882 2.633666 3.279843 2.722403Model 2 Poisson Distribution
model2 <- glm(TARGET~ VolatileAcidity+TotalSulfurDioxide+Alcohol+as.factor(LabelAppeal)+as.factor(AcidIndex) + as.factor(STARS),data=train_c, family=poisson())
summary(model2)##
## Call:
## glm(formula = TARGET ~ VolatileAcidity + TotalSulfurDioxide +
## Alcohol + as.factor(LabelAppeal) + as.factor(AcidIndex) +
## as.factor(STARS), family = poisson(), data = train_c)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -3.2022 -0.2623 0.0475 0.3935 1.8077
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 3.395e-01 4.514e-01 0.752 0.45203
## VolatileAcidity -2.396e-02 8.365e-03 -2.864 0.00418 **
## TotalSulfurDioxide 1.840e-05 2.856e-05 0.644 0.51942
## Alcohol 4.777e-03 1.772e-03 2.696 0.00701 **
## as.factor(LabelAppeal)-1 2.709e-01 5.336e-02 5.076 3.85e-07 ***
## as.factor(LabelAppeal)0 4.958e-01 5.204e-02 9.526 < 2e-16 ***
## as.factor(LabelAppeal)1 6.512e-01 5.276e-02 12.343 < 2e-16 ***
## as.factor(LabelAppeal)2 7.641e-01 5.839e-02 13.087 < 2e-16 ***
## as.factor(AcidIndex)5 1.323e-01 4.549e-01 0.291 0.77118
## as.factor(AcidIndex)6 1.995e-01 4.482e-01 0.445 0.65621
## as.factor(AcidIndex)7 1.629e-01 4.479e-01 0.364 0.71606
## as.factor(AcidIndex)8 1.376e-01 4.480e-01 0.307 0.75874
## as.factor(AcidIndex)9 8.730e-02 4.483e-01 0.195 0.84561
## as.factor(AcidIndex)10 -1.060e-02 4.497e-01 -0.024 0.98120
## as.factor(AcidIndex)11 -2.335e-01 4.535e-01 -0.515 0.60667
## as.factor(AcidIndex)12 -2.204e-01 4.600e-01 -0.479 0.63177
## as.factor(AcidIndex)13 -1.238e-01 4.628e-01 -0.267 0.78912
## as.factor(AcidIndex)14 -1.865e-01 4.806e-01 -0.388 0.69804
## as.factor(AcidIndex)15 4.811e-02 5.584e-01 0.086 0.93134
## as.factor(AcidIndex)16 -1.764e-01 6.332e-01 -0.279 0.78056
## as.factor(AcidIndex)17 3.477e-02 6.338e-01 0.055 0.95624
## as.factor(STARS)2 3.169e-01 1.743e-02 18.177 < 2e-16 ***
## as.factor(STARS)3 4.326e-01 1.897e-02 22.802 < 2e-16 ***
## as.factor(STARS)4 5.517e-01 2.690e-02 20.511 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for poisson family taken to be 1)
##
## Null deviance: 5844.1 on 6435 degrees of freedom
## Residual deviance: 3898.4 on 6412 degrees of freedom
## AIC: 23079
##
## Number of Fisher Scoring iterations: 5predmodel2 <- predict(model2, type="response")
train_c$pred2 <- predict(model2, type="response")
train_c$pred2## [1] 3.404261 2.298882 4.919982 3.235885 4.429024 4.233556 3.081341 3.159004
## [9] 2.318580 2.260234 2.713614 3.884589 4.297206 2.262553 4.498454 2.696433
## [17] 4.696060 4.637144 1.568679 2.814673 2.268565 3.320983 4.177290 3.282684
## [25] 1.660466 2.267486 1.882923 1.724930 1.654237 5.732213 3.425900 5.111904
## [33] 2.233170 4.614254 1.777817 1.800499 2.721952 3.086347 5.128306 5.367868
## [41] 3.038172 3.427122 3.356636 2.336055 3.378541 2.837933 3.189727 3.390153
## [49] 3.955711 2.260447 3.776638 2.766144 3.769280 3.654790 4.574125 2.768103
## [57] 3.005012 2.265173 3.336224 2.284826 2.107944 3.929360 4.159482 4.291577
## [65] 3.028435 2.745730 2.224476 5.126035 3.756462 3.022400 3.056137 3.032838
## [73] 4.396732 5.192816 2.700756 5.986709 4.187376 4.368589 3.286653 2.825060
## [81] 2.985281 3.845858 2.178727 4.901753 6.320098 3.866273 3.975626 3.012767
## [89] 4.661691 4.569531 3.304271 3.290387 4.877757 2.944292 3.147061 3.871241
## [97] 2.227840 4.438806 4.569239 2.737145 4.238481 3.024598 3.584641 3.142447
## [105] 2.218711 2.791007 4.038099 5.658454 4.313329 4.378419 1.677900 6.240920
## [113] 5.034239 3.935678 3.067358 5.646792 2.942830 2.623600 5.799434 2.301083
## [121] 3.421924 2.583868 5.284172 3.876859 4.531299 2.937217 4.528027 4.492810
## [129] 4.293671 3.906634 4.067329 5.813698 3.782333 2.720573 3.201341 4.423053
## [137] 4.574707 2.825003 3.655822 4.451648 2.171324 3.460846 2.200902 2.864786
## [145] 4.395853 5.114369 2.302408 6.145560 5.118868 3.942718 4.176064 4.446006
## [153] 2.726200 4.538615 4.091751 3.908390 4.440627 2.696731 1.663585 2.502811
## [161] 3.424918 4.134221 3.889371 2.252575 3.764097 4.277565 4.377454 4.560650
## [169] 4.062531 3.422403 5.903706 4.340589 2.699561 2.817277 3.606955 3.176323
## [177] 3.698862 4.217391 2.344007 4.014663 2.321962 3.250945 2.253686 5.831206
## [185] 1.623806 5.028201 3.117594 2.897702 4.006867 2.676702 3.912419 3.595158
## [193] 3.493936 2.295336 3.780335 3.876003 2.769684 3.800038 3.871798 5.750301
## [201] 4.389358 2.086341 2.139326 4.654397 3.203260 2.308346 3.349237 5.066742
## [209] 4.017529 2.681225 3.079715 2.844231 3.860966 1.487645 4.543157 3.829943
## [217] 3.959033 3.279585 2.178759 4.341969 3.779192 2.906653 3.894465 3.980153
## [225] 2.216455 3.194108 2.350097 3.449118 5.099888 1.714036 4.384541 3.652953
## [233] 4.780698 2.165216 4.098127 5.575695 2.848958 4.389247 3.005616 4.540551
## [241] 3.048288 3.312615 2.842892 2.850148 6.024543 4.915971 2.998006 2.229562
## [249] 3.883069 2.104120 2.770042 2.759282 4.292926 4.530257 5.216335 2.659245
## [257] 2.582000 4.568424 4.831551 4.191626 4.034455 2.388493 3.814863 2.995830
## [265] 4.496211 4.636609 3.746784 2.848253 2.375843 6.059703 2.225129 2.626982
## [273] 5.485111 3.268786 5.057428 3.608919 4.397430 2.275057 3.914509 4.919606
## [281] 1.640648 2.892488 4.344042 2.323918 4.300123 5.430272 2.820676 4.149406
## [289] 5.451924 2.183516 5.478931 2.190458 3.910175 5.129399 3.105684 4.346059
## [297] 3.542691 3.241706 2.079690 4.533325 3.825647 4.296615 4.393070 5.075039
## [305] 4.243258 4.560447 3.534962 4.419012 2.257457 3.106420 6.415674 5.587002
## [313] 4.674034 3.975810 6.923370 4.215467 4.515017 4.149283 2.245246 3.044317
## [321] 2.141044 1.870350 5.258881 3.202963 1.694612 3.867654 3.318910 3.267994
## [329] 3.675583 2.558676 3.365713 2.836366 2.953664 4.247634 2.303591 4.838111
## [337] 4.984906 2.654441 3.259311 4.942577 1.636318 2.153218 3.282813 4.998159
## [345] 2.765708 5.614220 3.965713 4.568597 4.348633 2.085593 2.764389 3.832209
## [353] 2.783201 4.979854 2.056755 5.060119 4.143378 2.187464 3.139716 4.277905
## [361] 4.933993 3.793793 4.556395 2.090518 5.089792 2.933367 3.839907 2.114238
## [369] 3.050117 3.793503 4.566013 4.147748 4.523223 4.332784 4.934034 3.257794
## [377] 3.963072 2.852215 4.470975 2.182279 3.069104 2.081442 2.226337 3.848313
## [385] 3.544341 1.742039 4.254449 2.182291 2.948313 2.337497 2.167593 3.834903
## [393] 4.943336 3.137976 3.003012 4.001040 3.074866 3.943305 3.094491 4.194504
## [401] 5.486695 4.984560 4.048891 2.451660 2.341609 2.974556 4.353905 4.309302
## [409] 4.803697 3.403963 4.550990 2.845860 2.903989 4.357135 5.205853 3.048974
## [417] 2.754176 3.851905 2.694037 3.258481 3.285327 4.733842 2.717424 3.656723
## [425] 5.579835 5.552938 5.824235 2.814218 4.329572 3.937027 3.271981 2.834972
## [433] 4.956783 3.203300 3.108818 2.194906 3.734572 5.100170 5.863701 4.003145
## [441] 3.222314 5.261592 6.049296 3.738269 2.089138 2.237493 4.227830 4.521577
## [449] 4.695647 3.038793 3.894580 2.880219 4.984597 3.793881 3.074823 2.894892
## [457] 3.954595 2.870029 2.779650 2.173957 4.430844 2.091101 2.830105 5.245732
## [465] 3.173546 4.155523 3.839412 3.941141 3.904652 4.425704 4.808519 3.060619
## [473] 5.240334 4.576045 4.476602 3.727612 4.134500 5.896535 2.775528 3.903455
## [481] 3.660646 3.390067 3.287989 4.613284 4.333867 4.529989 4.391972 2.374903
## [489] 4.445574 3.143650 3.108774 4.502272 3.074163 4.474381 6.522430 4.436058
## [497] 5.693081 4.386077 2.334093 3.922624 3.491017 3.709588 3.102874 5.084265
## [505] 4.740713 2.991267 1.784422 4.492402 4.544504 2.987445 4.558003 3.948385
## [513] 3.010291 2.792669 3.936363 2.263547 1.649034 3.232868 4.795636 4.070729
## [521] 4.101421 2.202951 2.334804 3.005674 4.166198 2.333705 3.621531 3.518126
## [529] 4.442154 4.608907 3.468636 2.125047 3.887556 3.252915 2.961826 4.987449
## [537] 4.937716 2.271677 4.194032 3.712881 2.234063 5.768218 3.179105 4.149148
## [545] 2.789565 4.956272 2.254814 2.797520 2.805402 6.312623 2.738100 5.210055
## [553] 3.276535 2.666661 3.543041 2.813548 3.677236 2.277559 4.597560 3.439320
## [561] 4.946053 5.832381 3.707123 3.357268 2.326440 2.783380 5.368532 3.939505
## [569] 3.321966 2.337352 3.184388 2.772535 3.588019 1.922029 3.722624 3.802997
## [577] 3.473893 3.815266 4.049562 2.333002 3.892044 2.089543 3.864419 5.158161
## [585] 3.894629 3.085127 3.091960 5.128322 2.688955 3.601521 2.862623 4.125028
## [593] 3.801124 2.616141 3.881993 3.975183 1.822550 3.383614 3.639589 4.876640
## [601] 2.631337 5.263097 5.561904 4.828595 3.806362 4.445477 3.577981 4.939475
## [609] 2.242919 2.799342 3.720917 5.007911 3.871144 3.098521 3.725716 5.363620
## [617] 4.373334 3.584819 3.295269 4.319988 4.063601 3.989905 2.270483 3.224249
## [625] 4.433081 5.217576 2.250076 4.520816 3.094463 2.202412 1.698375 3.896239
## [633] 3.125897 3.431516 4.452083 3.913172 3.578367 3.807441 4.006562 3.705669
## [641] 5.447282 3.791996 3.807902 5.169888 3.743652 4.150153 2.214332 2.809929
## [649] 2.368549 3.720432 2.725590 3.136739 1.912139 3.828480 4.212570 2.794724
## [657] 5.098347 3.047230 4.476101 3.612478 4.221584 2.921090 2.740031 3.765397
## [665] 3.047088 5.274954 4.997924 2.626494 4.059355 2.736417 2.251114 5.138013
## [673] 2.943499 2.176153 4.315385 4.575857 4.546741 1.661320 4.879183 1.888423
## [681] 4.345248 3.872104 4.601363 3.964878 5.090941 4.698605 1.914197 4.002886
## [689] 3.757286 2.835441 3.924236 3.273815 2.762787 2.561305 2.762987 4.605778
## [697] 2.231772 3.807809 4.403419 4.551864 5.157055 3.743376 2.765574 2.808887
## [705] 5.098402 2.104419 6.277103 4.170607 5.859029 5.054715 4.194016 4.054770
## [713] 2.293462 5.464779 4.115201 5.329098 3.026901 4.536114 4.508948 2.779358
## [721] 5.846441 3.138347 5.663689 5.007553 1.914825 2.131580 5.538890 3.081133
## [729] 3.652514 3.174615 2.201945 2.510061 3.611335 1.731023 4.534397 1.745367
## [737] 2.829391 4.600201 2.192585 2.771076 5.098821 4.789711 3.099646 2.812780
## [745] 3.783872 2.143283 2.379373 4.717069 4.418395 1.786704 3.752078 2.775123
## [753] 2.580434 3.022300 3.115978 5.118419 3.804644 4.985566 2.998376 2.932118
## [761] 2.173108 3.098968 4.551348 3.193982 5.167536 3.910298 3.111408 3.061525
## [769] 5.154418 4.364355 3.282975 3.839579 5.341178 2.157065 2.699042 2.351792
## [777] 2.797702 5.421757 2.820104 4.436240 3.090298 2.167486 4.376982 1.769393
## [785] 2.377607 4.851207 3.175198 2.303074 2.661975 3.197451 2.777584 2.203412
## [793] 2.279479 3.031589 3.407344 2.292148 5.118961 4.494114 3.357463 5.270698
## [801] 5.124215 4.057304 3.921809 3.182302 3.659458 4.632838 4.518174 3.798876
## [809] 2.899035 3.129647 2.338248 4.361057 3.908833 4.254387 3.581775 4.008970
## [817] 2.258883 2.324032 2.194431 4.094451 4.054811 3.919017 3.781877 3.791509
## [825] 2.280969 2.198721 1.905080 5.414007 5.466706 4.223288 2.889575 4.405152
## [833] 2.920321 3.818404 3.120289 3.041831 3.096499 2.908427 3.738357 2.752103
## [841] 3.662722 4.271769 3.916595 4.888825 5.044421 2.694221 2.707104 4.470252
## [849] 2.263398 3.613857 2.379499 2.281530 5.032222 2.638804 4.544029 4.227720
## [857] 3.986468 5.025550 3.583927 2.608904 3.067344 5.591064 4.202862 4.437908
## [865] 4.024874 3.748656 3.289270 3.970044 3.773330 4.418260 4.466052 4.565339
## [873] 4.028313 2.827016 4.761943 5.510000 5.967970 2.914928 4.376430 3.131683
## [881] 5.687852 3.117781 4.426898 2.972230 3.289985 2.838649 4.505070 2.867791
## [889] 3.141115 3.078392 4.564354 5.352674 4.068831 2.921682 4.759518 3.375335
## [897] 3.690641 4.711755 1.576926 2.326432 2.753607 3.185642 4.591941 4.534822
## [905] 4.201338 2.450642 3.358341 2.301168 4.940695 3.836497 3.988161 3.946100
## [913] 2.895980 3.673657 4.507508 3.409620 5.446665 2.923067 1.890741 4.170239
## [921] 4.213286 4.513583 2.358225 2.806130 4.064468 5.094943 2.325861 3.697497
## [929] 3.492354 3.711502 4.395072 2.772191 2.217070 5.722010 3.132234 3.506693
## [937] 4.122751 3.723727 4.996259 5.757795 3.083835 4.003562 5.689099 4.292167
## [945] 5.211070 4.255803 3.100821 3.110331 3.175478 2.818891 5.656977 4.371171
## [953] 2.232078 2.829521 4.219583 3.245091 6.570740 2.822959 3.955374 2.949716
## [961] 4.218204 4.222695 3.494119 3.881919 2.239487 2.137717 3.158767 2.761240
## [969] 3.690609 4.368016 4.292561 4.910228 3.100178 4.299670 2.656278 5.341226
## [977] 4.583569 2.038902 4.022860 2.270476 4.024468 4.292300 2.892145 2.997495
## [985] 4.195059 2.267047 4.709608 4.982708 3.817154 3.005372 2.948692 6.040627
## [993] 4.997905 3.067093 2.873078 3.276982 4.189943 3.168334 6.411961 3.707627
## [1001] 3.361938 2.979673 4.178769 2.743496 2.815329 5.332510 5.543872 1.797900
## [1009] 4.546591 3.951059 2.311280 4.606659 5.610713 5.362438 4.143461 4.978799
## [1017] 3.929038 2.257289 2.888948 4.419969 4.197229 3.789119 2.937451 2.609974
## [1025] 3.926136 4.605938 2.338322 4.659066 3.826047 4.900358 3.737842 1.648006
## [1033] 2.543002 4.909551 2.190215 4.999989 4.666688 3.080178 4.224076 4.628031
## [1041] 4.488521 4.184473 2.832936 5.097691 2.899059 5.900195 2.240006 3.206723
## [1049] 5.406705 3.608363 2.227956 4.884039 4.925544 2.633920 4.673744 2.272317
## [1057] 4.415689 2.303764 4.828674 3.054968 4.832618 3.914306 2.870473 4.437540
## [1065] 3.109560 4.291013 4.450204 5.535013 5.627339 3.982995 3.700777 5.417490
## [1073] 2.785839 6.434528 3.398905 3.327104 5.935291 5.302138 1.672187 4.485481
## [1081] 4.199378 3.944032 2.720817 3.292584 5.605206 5.158627 4.044658 1.488623
## [1089] 4.223178 2.852934 2.569353 4.480887 5.180674 2.367484 3.757406 3.184489
## [1097] 4.428738 2.220179 1.734825 3.135045 2.934255 5.239315 2.882678 5.708872
## [1105] 3.963940 3.237925 3.183805 4.079207 5.263973 5.329617 1.670289 4.270509
## [1113] 5.203543 2.760232 2.867768 2.197246 3.286011 3.809188 3.912565 3.025415
## [1121] 3.414858 2.785682 3.399064 5.127510 2.303930 5.147206 2.635641 3.545934
## [1129] 3.539054 4.542975 4.065191 2.321578 3.013168 5.371421 3.767147 2.521638
## [1137] 4.461942 4.337690 4.253515 3.202287 2.826391 2.676203 4.136968 4.491309
## [1145] 3.094107 4.920893 4.125831 4.785840 2.145336 2.844125 3.463999 1.707711
## [1153] 2.773978 2.796793 4.395490 2.214314 1.684315 2.168985 5.313760 3.984228
## [1161] 4.458586 4.224581 2.934331 2.174985 4.241521 3.841886 3.673435 3.842295
## [1169] 3.878627 3.943020 3.932900 5.000534 2.934029 4.096214 2.685122 3.054522
## [1177] 4.260007 3.946693 2.730220 3.284173 3.006679 6.103020 2.783276 4.904243
## [1185] 3.779061 5.042806 5.749963 3.857099 2.786404 4.668134 5.059209 4.411758
## [1193] 4.069789 3.899399 3.879676 5.689616 3.178382 4.072028 5.475612 4.457805
## [1201] 4.800066 3.610537 4.028724 5.020283 2.259698 5.620900 3.736623 1.886389
## [1209] 1.678208 1.717357 3.902447 2.841332 2.369234 4.719706 4.202166 2.363503
## [1217] 4.450338 4.699814 3.003423 2.426460 4.296160 2.735900 4.410763 2.773232
## [1225] 4.609192 4.294393 3.137860 3.992746 2.691281 1.596245 3.844833 1.855733
## [1233] 5.248173 3.363081 4.363986 3.096460 4.207496 3.461108 4.416232 3.887556
## [1241] 3.723465 3.676895 3.332155 3.424416 4.308967 4.515692 4.801935 5.808155
## [1249] 2.348147 4.743264 1.580095 2.875177 3.756351 3.913752 2.804580 2.752483
## [1257] 3.909333 4.400820 2.817447 3.111867 3.798194 2.069851 4.004805 3.288282
## [1265] 4.638862 3.251356 4.339561 4.109578 4.288724 4.008895 5.723480 4.571041
## [1273] 2.708925 3.918131 3.359499 2.350147 3.865710 3.851280 2.765832 2.701890
## [1281] 4.976107 1.659377 2.576126 4.100496 2.826611 3.759120 3.911412 3.134701
## [1289] 3.792072 2.222814 3.155896 3.732453 2.792840 4.432354 2.600713 5.309144
## [1297] 3.930065 4.171376 5.378401 3.105479 5.703512 2.850259 2.821418 2.729917
## [1305] 2.195138 4.994064 2.560851 3.841440 5.694411 3.486709 3.773638 2.628782
## [1313] 5.998624 4.075935 4.210646 3.361694 2.017785 4.630417 3.330781 3.322738
## [1321] 2.181718 4.840742 2.268922 2.787017 3.613500 5.859213 3.914645 3.770831
## [1329] 4.042062 2.275710 3.604346 4.158049 2.343662 2.513315 4.371276 2.204930
## [1337] 4.402897 4.593715 3.100869 3.781431 3.372869 2.997600 2.766575 1.610219
## [1345] 2.310039 3.975224 3.118468 4.645481 2.446728 3.905321 5.000000 2.570350
## [1353] 2.964094 4.290277 4.884147 4.533327 3.453742 3.559898 4.511436 4.470120
## [1361] 5.266130 3.280968 3.126465 4.061941 2.883561 6.226203 2.944621 2.263648
## [1369] 4.075871 2.355083 4.316230 4.567449 3.158390 3.416445 1.729445 5.438583
## [1377] 2.571398 4.979317 2.325237 4.601729 3.982982 3.558687 4.289445 2.828265
## [1385] 3.774812 5.127146 2.376105 4.120110 3.212269 2.965120 5.787781 2.864956
## [1393] 3.912658 4.383235 3.844978 4.127508 3.817919 5.055177 3.319513 2.248997
## [1401] 3.785527 3.015220 4.208787 2.128403 5.758554 3.338268 4.468406 3.235481
## [1409] 4.352622 2.255221 3.723697 2.690505 3.777664 3.048540 2.826921 2.768678
## [1417] 2.233630 4.072087 2.709839 5.011900 5.740707 4.354478 3.252931 3.009759
## [1425] 4.189006 2.905506 2.375661 2.183544 3.321637 3.065100 4.774180 2.280019
## [1433] 4.557252 2.201729 3.332170 2.851199 3.723430 2.269390 2.722365 5.148284
## [1441] 3.793945 2.264735 2.886593 2.838100 4.336696 4.268746 3.766767 2.204138
## [1449] 5.018382 6.290555 2.277718 2.278784 4.709989 4.284060 4.412715 2.609258
## [1457] 4.529835 4.516533 1.842277 2.883340 3.750593 3.752464 2.615734 4.451431
## [1465] 4.163026 3.782963 3.502271 1.979449 5.387650 3.335458 2.978772 2.306305
## [1473] 5.947567 3.116457 3.824801 4.916437 3.021998 2.837415 4.401930 2.819569
## [1481] 3.286302 2.647406 5.708876 2.267722 3.204973 3.427540 3.611001 3.868579
## [1489] 2.106911 2.712526 3.908877 2.483174 3.503834 3.346030 5.586910 2.234650
## [1497] 2.298967 4.333228 4.485705 2.652076 2.994267 5.753246 2.842558 2.638711
## [1505] 2.131054 5.157598 3.764487 4.503933 4.697892 4.384824 2.220724 3.969302
## [1513] 2.850020 3.414467 2.716312 4.562647 4.175055 3.047533 2.844622 5.598493
## [1521] 5.741712 2.923513 3.017545 3.064230 5.019525 4.119981 3.049907 4.091148
## [1529] 2.825772 4.817101 2.200161 5.068181 2.294723 2.175641 2.255395 1.820951
## [1537] 4.270244 1.698782 3.889505 4.703236 4.575857 4.120387 3.812427 4.017389
## [1545] 3.081459 2.286649 3.961693 4.537682 2.195505 4.751443 4.411732 2.992836
## [1553] 5.264221 2.273976 2.190582 5.272810 3.782291 2.886402 2.636088 4.266807
## [1561] 4.396758 4.396811 4.828560 3.006675 4.738065 6.317684 5.893949 2.661453
## [1569] 3.325012 3.708644 4.508225 2.845579 3.051890 2.215158 2.814669 2.951674
## [1577] 4.513636 2.196214 3.384719 5.192964 4.335892 3.944629 4.752377 4.393237
## [1585] 3.985728 2.730192 2.978643 4.332227 2.629907 2.695475 4.297662 2.106768
## [1593] 3.041248 3.573941 4.153046 3.154745 3.968415 2.822262 4.295619 3.795121
## [1601] 3.676867 3.283086 4.961631 4.949585 3.013196 3.801968 4.598820 4.258931
## [1609] 4.630490 3.114733 6.238486 3.767644 3.888341 5.106075 4.710863 2.278263
## [1617] 2.746394 4.094410 3.873200 4.191462 2.863519 4.278781 4.448895 4.219411
## [1625] 3.702828 2.156294 1.733139 3.815404 4.730785 6.013734 3.806888 3.096468
## [1633] 2.722544 2.214600 3.981377 2.813390 4.537580 3.044812 3.408720 5.482940
## [1641] 3.527532 3.896096 2.828793 2.737719 3.808968 1.954975 3.778433 4.390270
## [1649] 2.975810 2.794056 3.797887 4.861096 3.057271 3.167698 4.428463 1.980456
## [1657] 2.277163 3.378228 4.019669 3.856262 4.218797 2.756873 1.880725 4.363005
## [1665] 4.459217 2.743933 3.847714 4.263066 4.121290 3.174051 2.205828 4.197022
## [1673] 2.624530 3.321216 3.735389 3.376946 5.990828 2.807454 5.765151 4.550324
## [1681] 2.833371 3.931866 4.472791 3.161115 4.635978 4.705227 2.228037 2.607148
## [1689] 2.669325 3.449434 3.027008 4.144831 2.203827 2.410578 3.062664 3.934185
## [1697] 3.548871 5.134795 2.995538 1.706236 2.795578 4.694038 4.451330 2.280958
## [1705] 2.791848 3.278897 2.787822 2.238722 3.054915 5.397514 3.097822 2.280963
## [1713] 3.134820 3.711634 2.267456 3.801096 3.282088 2.087537 3.923760 1.992724
## [1721] 4.771148 3.187475 3.785335 3.073241 5.308661 2.887817 2.951040 2.242858
## [1729] 4.698790 3.947330 3.894678 2.831698 3.889026 5.273267 3.927765 3.212982
## [1737] 3.776876 3.793396 3.216622 4.059144 3.916934 3.889369 4.463164 2.856505
## [1745] 4.515589 2.325369 3.734553 5.567254 5.160833 3.861004 4.349462 3.318266
## [1753] 2.887102 2.003726 1.694382 3.880886 2.825653 4.222321 4.498751 2.329877
## [1761] 3.843422 2.236743 3.586796 3.889505 3.754072 4.281693 3.223833 4.229850
## [1769] 5.241869 2.850531 2.217904 2.221216 3.220957 1.733637 2.816833 3.140317
## [1777] 4.056707 2.169925 2.452504 3.930590 3.916447 3.032180 4.450504 6.322562
## [1785] 3.999436 3.675276 4.707423 3.280444 3.858334 3.856442 4.396649 3.883715
## [1793] 5.011252 2.220293 2.299869 3.018555 2.715838 2.324978 2.899468 4.964406
## [1801] 4.387794 1.725496 1.631622 2.355635 5.062486 3.017826 5.124566 4.449354
## [1809] 2.128981 2.945580 3.953395 3.991451 4.549911 2.243099 3.916300 3.496006
## [1817] 3.211066 2.308656 4.831369 4.013083 3.913709 4.464643 4.639416 1.724457
## [1825] 3.105119 4.703314 2.790202 4.831565 3.194961 3.609826 2.808218 2.784311
## [1833] 3.544656 4.609821 3.931971 2.891682 4.595496 4.086872 3.952549 3.756005
## [1841] 4.368082 4.395131 3.134532 2.243100 3.999855 1.424442 2.165746 2.979209
## [1849] 3.008450 2.161321 4.532165 3.462444 3.764804 2.369282 3.454338 4.391009
## [1857] 2.929459 4.108089 4.394313 5.979723 5.123652 4.360097 3.550265 3.933761
## [1865] 3.938228 4.543495 1.678858 2.843892 3.292231 3.913750 2.953377 4.544974
## [1873] 3.385382 4.033244 4.428897 2.218572 4.127003 2.270219 3.782422 2.269873
## [1881] 4.206367 5.305736 1.866863 3.899803 2.501607 5.255702 4.005799 2.120287
## [1889] 2.958201 3.717442 2.821170 3.778211 3.146040 3.495833 2.872121 2.270313
## [1897] 4.392207 3.530852 3.959743 3.390826 2.722987 4.530926 2.285154 3.072360
## [1905] 4.107474 5.625488 3.857547 3.731295 2.287876 4.601951 3.821550 5.332359
## [1913] 4.826450 5.050700 3.834516 4.494031 4.470233 3.863308 3.250758 5.116717
## [1921] 5.085506 5.010397 4.117760 5.162813 2.933813 3.826262 4.053955 4.357048
## [1929] 3.004108 2.875103 4.573338 4.459566 3.021082 2.235787 5.068690 3.831220
## [1937] 4.271524 2.896151 4.071877 2.805751 4.405197 4.343552 3.054620 3.003186
## [1945] 3.889724 1.510259 3.673190 4.237449 4.200619 2.851273 3.994750 3.306879
## [1953] 2.826871 4.267954 5.793707 3.168358 3.531408 3.800196 2.346491 2.926777
## [1961] 2.290296 1.808390 2.228270 3.446606 2.968257 2.264014 2.999802 5.917115
## [1969] 4.619571 4.338210 4.486530 2.779401 2.633841 3.603587 2.935896 4.998377
## [1977] 3.270914 2.229934 5.196118 5.056021 2.680731 3.862988 4.904856 2.836784
## [1985] 3.756925 2.682653 3.759419 3.823196 2.610147 4.342190 4.295086 2.590401
## [1993] 4.465354 5.178774 2.274151 2.943291 2.188567 5.061279 2.673860 2.964580
## [2001] 5.106190 6.766555 3.711928 3.740020 3.821925 4.021042 4.634431 5.141196
## [2009] 3.060240 3.244060 2.415882 3.326266 3.817763 3.219294 2.759317 3.500199
## [2017] 3.941767 4.282675 2.764491 6.566403 5.996494 3.162803 5.093954 5.677222
## [2025] 2.930956 3.669610 2.821187 3.646130 6.085612 2.169303 4.399799 3.159287
## [2033] 2.708542 4.394695 2.255073 3.370141 3.992291 2.304227 3.108245 1.682937
## [2041] 2.849522 4.066125 3.435195 2.217311 3.014425 2.806949 2.173546 4.045534
## [2049] 2.822109 4.458821 3.430201 5.161095 5.031369 4.588636 4.430423 4.309131
## [2057] 2.314207 4.367094 4.646285 3.563719 2.200362 4.617606 4.534486 2.867634
## [2065] 2.754266 2.364095 4.569389 2.661852 1.498464 5.138314 3.557728 3.098984
## [2073] 4.367665 4.289118 5.094629 3.219248 3.516621 3.858653 3.064071 1.754539
## [2081] 4.527268 4.507277 5.075916 5.735869 3.442351 2.321986 2.594115 2.082241
## [2089] 4.230224 3.332999 4.311310 2.815918 3.938622 3.542128 4.952347 3.954104
## [2097] 3.850988 1.839941 3.876296 2.984678 4.963118 2.907377 4.478343 2.757746
## [2105] 3.777582 3.203166 2.557274 2.285578 4.771709 2.239941 4.020547 2.090842
## [2113] 4.996118 5.034614 3.981470 3.892171 4.066327 4.976129 2.886074 2.153753
## [2121] 5.921150 2.306778 5.042814 3.527450 3.945331 4.970481 2.616461 4.972195
## [2129] 3.762788 2.208331 4.429118 4.373323 4.017896 2.903344 3.894066 2.103801
## [2137] 2.369772 3.432045 4.010396 1.926813 3.350061 3.216062 3.834372 3.918394
## [2145] 5.275097 4.510103 3.509010 2.651102 6.002013 3.780004 1.460083 4.058492
## [2153] 5.425162 3.789780 4.454182 6.359698 2.270623 4.003356 4.844544 2.251896
## [2161] 2.747314 2.632456 2.855537 3.154340 2.873723 4.440533 3.119551 2.892839
## [2169] 2.392497 3.232551 4.448083 4.482806 4.579766 4.564308 2.765524 3.514202
## [2177] 2.780861 3.828164 4.469867 2.188394 1.462883 2.372472 4.169919 2.249057
## [2185] 2.793458 2.843768 3.278165 5.789440 5.083285 3.972203 4.317385 2.417198
## [2193] 3.054633 4.383000 5.139775 1.725296 2.324692 4.736565 3.114666 2.722466
## [2201] 2.816785 4.557065 5.192662 3.256444 1.728323 2.143796 2.706852 3.158917
## [2209] 4.670957 4.234916 2.928747 3.618826 2.311723 3.526286 5.578169 4.520551
## [2217] 2.650223 5.167096 2.155829 2.987939 2.221429 4.366395 3.307159 6.399131
## [2225] 4.769973 2.333036 3.895611 3.775905 3.355817 3.879767 4.933125 2.809764
## [2233] 5.171223 3.126177 4.367961 2.765710 2.278494 2.966663 4.315693 2.356717
## [2241] 3.000619 3.618913 4.600494 2.975320 2.934691 2.403040 4.095662 4.926999
## [2249] 3.471278 5.065635 2.902648 4.508780 2.973215 3.804908 4.277159 3.579384
## [2257] 5.269621 3.756503 3.651248 3.052236 2.797201 5.031586 3.555414 4.942015
## [2265] 2.164358 5.861674 3.825637 3.252936 3.156662 3.055755 3.727692 4.443626
## [2273] 3.214529 4.341764 4.459435 3.953213 3.316181 3.348671 4.084103 2.265977
## [2281] 5.955405 3.822698 4.357598 3.937964 3.031770 4.524754 3.415753 5.011377
## [2289] 2.819167 2.775815 5.033174 3.868915 3.269181 3.643859 3.139107 5.631583
## [2297] 5.434936 4.442855 5.067409 4.437511 3.805759 4.419335 3.154692 3.000235
## [2305] 5.847448 3.570353 2.220836 4.509141 1.654705 4.232916 3.994561 3.238405
## [2313] 3.526582 4.960659 3.304604 2.989544 5.193983 4.030993 3.480291 2.962225
## [2321] 2.928281 1.757939 2.159185 3.077928 5.059715 2.961318 3.443101 2.509498
## [2329] 4.449037 2.051564 2.221511 2.338136 5.357033 2.401767 2.231508 1.606582
## [2337] 3.780133 4.996981 3.577319 4.242789 4.389997 4.548124 2.681630 2.365905
## [2345] 2.840431 4.006296 3.681656 4.130309 4.990559 2.165574 3.285284 3.560161
## [2353] 4.791038 4.366640 2.614921 3.230235 5.218895 2.669716 2.936420 2.389076
## [2361] 5.697254 2.069666 5.153897 2.780248 2.903513 4.023074 5.483242 2.787103
## [2369] 4.655009 3.020159 3.369399 3.858217 2.813159 4.265333 4.191555 5.831073
## [2377] 2.662516 3.828062 1.734614 3.161554 4.940046 3.476773 5.113498 3.487115
## [2385] 2.262319 5.059291 5.631651 2.660363 3.577720 4.409441 5.525554 3.910135
## [2393] 5.642613 3.205953 2.352827 4.543308 2.619444 3.279989 2.863492 5.311270
## [2401] 5.905171 2.851685 5.848694 4.740852 3.870690 1.628016 1.729786 4.372831
## [2409] 3.679515 3.844691 3.024588 2.162607 4.408778 2.182019 4.058426 2.773192
## [2417] 1.628427 2.257900 4.762967 4.273919 5.103015 2.709176 1.663380 3.971556
## [2425] 5.769338 3.934312 4.584624 3.617416 3.894968 3.798179 2.181059 6.948346
## [2433] 4.644869 3.731313 4.535334 4.388323 2.276579 2.896986 3.492419 5.415682
## [2441] 3.609848 3.916931 4.037833 4.447503 5.170916 2.156470 4.502351 2.668421
## [2449] 4.544430 3.126953 4.449239 4.035499 3.872773 3.162362 4.488498 1.872655
## [2457] 3.120217 3.642454 1.842534 2.606913 2.225136 2.730603 4.027843 5.146280
## [2465] 5.090539 3.713122 3.486999 4.866081 5.000000 2.195111 4.119676 5.177047
## [2473] 3.644370 3.026206 3.033932 1.872821 3.202988 2.763720 5.127157 2.655232
## [2481] 2.360247 3.823177 4.704965 4.293779 3.061262 1.891894 5.019604 3.925140
## [2489] 2.209754 5.182582 1.491947 4.728154 3.176473 3.697525 3.853795 2.238758
## [2497] 5.793599 4.455296 3.865682 2.381674 3.996061 3.157771 5.363367 3.528264
## [2505] 3.096398 4.193446 5.104055 4.748631 4.392463 2.897175 4.619935 2.193309
## [2513] 3.050225 4.375695 2.593303 1.708241 1.723084 4.371579 4.199741 4.601952
## [2521] 3.240278 2.343199 3.920900 4.982530 2.202580 5.387499 3.519494 4.193931
## [2529] 2.209484 5.010373 4.410324 4.204288 2.342428 3.802969 4.370272 4.736404
## [2537] 3.173826 2.500416 2.881275 3.143942 1.893527 5.573404 3.844271 5.291813
## [2545] 2.332736 5.034279 1.512710 4.019227 2.732743 2.221897 2.331658 3.123328
## [2553] 2.585893 3.690892 3.170326 4.763326 5.712554 3.186291 4.333138 3.929026
## [2561] 4.207252 4.369940 4.124894 4.304247 5.720944 3.251082 2.688634 3.799239
## [2569] 5.171977 3.325352 3.036969 4.104547 3.976557 3.879114 2.817999 5.182302
## [2577] 2.354816 4.466822 2.316523 2.851714 4.663331 3.125492 3.844826 3.938356
## [2585] 4.948419 3.356670 2.177022 4.380729 4.306321 2.745396 3.719833 2.093781
## [2593] 2.458140 3.894066 5.100750 3.592293 2.107311 3.602883 3.912930 5.112793
## [2601] 2.264025 2.857150 5.655976 5.724783 3.738830 5.546970 5.127398 3.581263
## [2609] 4.961061 2.856380 3.946552 4.783526 4.840210 4.752009 6.426235 3.236558
## [2617] 4.235146 4.240242 4.444514 2.717007 2.716339 4.327044 4.165995 3.751333
## [2625] 3.849524 4.974802 4.186916 2.152363 5.279507 3.423883 4.309018 4.248956
## [2633] 3.921153 3.140471 3.226446 3.633057 4.441085 3.894439 2.487474 5.705937
## [2641] 5.132019 3.664400 1.752958 3.104256 4.909391 2.183336 3.928936 2.862652
## [2649] 3.001251 2.271700 5.011096 4.940186 4.338475 2.878703 4.318122 2.273992
## [2657] 2.820980 3.172336 2.214735 4.678720 4.724321 2.754663 2.801524 4.029910
## [2665] 4.222664 4.918832 5.386790 2.633324 5.140889 2.716129 3.742257 4.137419
## [2673] 3.839203 2.561541 5.775965 3.377213 2.949460 4.067077 2.809515 4.608912
## [2681] 2.984237 3.012677 3.838461 4.088496 3.803839 5.014354 4.468030 3.590042
## [2689] 2.284916 2.803090 5.303540 4.226160 4.922279 2.278380 2.260169 3.989409
## [2697] 3.817138 3.397717 4.084845 5.164963 3.065925 1.568836 4.439007 2.813768
## [2705] 4.530506 3.862743 4.041481 2.968784 4.093852 3.610501 3.231510 3.640683
## [2713] 3.308652 3.140386 5.115752 5.172576 3.768706 2.739918 3.118161 3.128720
## [2721] 2.754610 3.934961 3.722556 3.853891 4.081245 3.877868 4.473470 3.141984
## [2729] 3.261926 2.321500 2.890007 4.409268 3.506855 4.958258 3.030753 3.736107
## [2737] 3.889823 2.760185 3.859456 2.418143 3.850811 2.314418 3.122680 3.750904
## [2745] 2.121911 5.524650 3.746905 6.770750 3.206727 3.317381 3.572890 4.638179
## [2753] 2.979442 2.333990 4.985812 5.252868 3.921961 2.786594 2.906870 4.319248
## [2761] 2.658812 5.774903 5.265517 4.574580 4.359940 5.800723 3.213158 3.773137
## [2769] 4.045987 5.275835 4.289179 4.874407 5.244411 5.722902 4.803820 4.386870
## [2777] 3.543388 3.003196 2.854699 3.193272 4.608554 2.230814 3.681603 3.576415
## [2785] 2.900587 2.999247 3.021314 4.318909 1.935733 4.573808 5.030997 3.426387
## [2793] 3.060835 3.368808 2.866246 2.262810 2.786156 4.042590 3.818534 6.465999
## [2801] 3.920520 3.870306 6.552126 5.131692 2.693444 2.215954 4.931110 4.167118
## [2809] 4.909615 2.643009 4.844099 3.259800 3.811556 3.722347 2.133001 5.214500
## [2817] 3.950507 5.140084 4.556913 3.619031 3.282095 2.372930 4.866947 3.337768
## [2825] 3.567897 2.796977 2.199672 2.781946 3.322737 4.179561 3.162821 2.883715
## [2833] 2.831380 2.600892 4.840455 3.443115 4.433104 5.816183 3.980731 2.818272
## [2841] 3.516385 2.665723 4.550909 5.120733 5.177213 3.921576 3.827298 5.474630
## [2849] 4.491940 2.725532 3.966203 4.442531 2.115153 4.509094 3.432971 3.805004
## [2857] 3.761097 2.114424 4.963847 5.152205 2.893365 2.299799 4.846138 4.146239
## [2865] 3.670803 3.882217 2.604764 2.099828 3.295467 3.032649 4.376616 4.382697
## [2873] 2.893741 3.154927 5.421610 3.082651 2.324291 2.736529 3.166494 3.936179
## [2881] 2.766738 4.692673 4.198967 5.355625 4.909102 2.869833 2.285951 2.679511
## [2889] 4.725272 2.256931 2.758888 2.844568 2.180208 3.236964 3.719863 2.331404
## [2897] 3.798691 3.304759 4.917531 2.961021 3.951522 2.630856 3.882370 3.741440
## [2905] 3.863718 4.046578 4.349697 5.808008 3.403471 2.076479 3.698989 2.353930
## [2913] 4.311707 2.381167 5.058677 3.274491 5.224668 2.590481 5.553037 4.538146
## [2921] 2.747387 4.505007 3.972893 3.440015 5.573863 5.019789 2.830893 1.618359
## [2929] 4.304124 2.165013 3.866334 3.293525 3.771681 3.794471 2.974405 2.948157
## [2937] 1.944957 4.683786 2.754190 2.989420 2.336154 2.817708 3.136125 3.063776
## [2945] 2.319542 5.744953 4.522788 5.556693 3.916936 4.509395 2.904030 3.894949
## [2953] 3.007309 4.971148 5.228444 2.913740 3.795522 3.981052 2.252689 3.771846
## [2961] 3.787666 3.068460 1.673802 2.233649 2.333800 3.190595 2.241763 5.337737
## [2969] 2.885410 4.181958 2.544614 3.128708 2.236953 2.326182 2.863151 4.378072
## [2977] 5.076645 5.193271 3.539839 2.685954 5.151339 2.275973 2.091115 4.422358
## [2985] 3.104518 4.171602 4.178374 2.287461 2.269548 2.757814 5.739086 3.997923
## [2993] 2.674798 4.263264 6.247996 3.133456 3.072758 5.738512 3.341063 2.367748
## [3001] 3.772440 5.572109 4.087228 2.387788 3.439841 4.528652 3.931593 2.193931
## [3009] 3.834930 4.395601 2.299628 1.546959 2.149972 2.968156 2.864088 2.675653
## [3017] 5.908020 2.246744 2.725206 1.597132 3.205652 2.111937 4.040703 4.368556
## [3025] 2.193321 5.371278 2.756518 2.823882 3.713466 3.822581 2.259848 5.697220
## [3033] 4.166231 2.762972 2.614449 3.083935 3.445527 4.363218 4.408119 1.617142
## [3041] 3.198222 2.278998 4.270571 5.312745 4.547507 2.911286 1.967054 3.805460
## [3049] 2.944378 2.514229 4.397163 5.079987 3.648148 3.051576 3.215452 3.955583
## [3057] 1.496056 2.096162 2.205704 4.503665 4.445680 2.228815 2.247831 3.324669
## [3065] 2.918018 4.449314 3.843156 2.774532 4.247881 5.560275 4.370689 2.856978
## [3073] 3.445475 2.765685 2.979014 4.691744 4.362206 4.635172 5.142655 3.045443
## [3081] 3.800436 2.879956 3.098637 4.753870 3.874105 5.372325 4.379478 4.688089
## [3089] 4.558815 3.233442 2.076641 2.283369 4.952088 4.420280 2.876024 4.269330
## [3097] 4.356943 4.523682 4.028018 4.381030 5.489454 4.380079 2.849511 4.366123
## [3105] 2.801730 2.820088 3.478344 1.648521 3.175281 5.024290 4.633162 3.053256
## [3113] 5.172011 3.214219 2.804350 4.480914 2.913050 4.844085 5.532782 3.767692
## [3121] 6.140044 3.914502 3.768720 4.058905 3.864096 1.577151 5.105776 2.023885
## [3129] 3.188808 3.477486 3.049168 3.702730 3.612604 4.063009 3.869769 4.034343
## [3137] 3.969673 2.599903 4.174073 5.079040 2.134800 5.423515 4.340561 3.161079
## [3145] 5.184547 3.825845 3.693093 3.020344 4.539996 5.344861 2.205831 5.206075
## [3153] 4.171849 5.126278 2.304395 2.268419 3.616490 1.842444 4.653018 3.077518
## [3161] 3.767329 3.209026 2.843405 5.096204 4.287429 2.828400 3.120565 2.706228
## [3169] 2.107914 2.327575 5.671919 2.903181 3.028425 5.124706 3.373009 4.088010
## [3177] 3.900884 2.722621 4.606503 3.949534 3.852030 3.059679 2.452398 5.338823
## [3185] 1.656137 2.545067 2.949665 3.091201 5.117274 4.364694 4.377828 3.237182
## [3193] 5.779193 3.729068 3.228658 2.227843 4.251497 5.018540 3.045783 2.996413
## [3201] 3.026509 2.276704 2.647723 5.077377 5.110016 2.373816 2.711791 4.558808
## [3209] 3.229120 2.523996 2.232027 3.836217 3.785425 2.174119 3.502481 3.858775
## [3217] 4.303851 3.354039 3.789567 2.236147 2.262061 4.099613 3.043065 3.903262
## [3225] 2.878225 3.816895 4.009274 5.389503 3.696184 3.685183 2.632861 1.501841
## [3233] 1.677867 2.884100 2.414019 2.588000 4.224872 3.802525 4.591799 3.630199
## [3241] 4.180792 3.125366 3.400242 5.379533 3.773159 3.423157 3.760178 3.923365
## [3249] 3.472547 2.846263 3.812888 2.733319 2.765749 2.415683 3.211152 3.781992
## [3257] 3.062806 4.509093 2.806372 3.512497 2.679315 2.826278 4.694470 4.948754
## [3265] 4.715289 6.055281 3.755663 2.747092 4.375127 5.129134 4.385245 2.376987
## [3273] 4.390422 5.650108 2.465264 3.706939 4.474774 2.143690 4.931040 4.842229
## [3281] 3.767259 4.710923 3.872983 2.596407 2.286596 3.575474 5.090599 5.143503
## [3289] 4.587797 3.700125 5.635179 4.533686 2.856680 2.881075 5.018467 4.263746
## [3297] 2.611068 3.283292 3.815582 3.804001 3.872763 3.603311 3.296351 3.900380
## [3305] 3.196314 5.281637 1.523270 3.061644 2.183568 5.560176 3.011060 2.247600
## [3313] 2.346477 4.181318 2.843094 2.342643 5.211558 3.897025 2.796081 5.260012
## [3321] 3.696533 3.426132 5.297947 3.223150 2.066358 4.447159 1.683996 4.465237
## [3329] 6.471160 4.256447 2.587561 6.032945 3.027226 3.914757 4.564326 5.657806
## [3337] 3.088721 4.786736 1.766178 2.737234 2.251193 3.664700 2.114549 4.453180
## [3345] 4.639666 3.063477 4.286729 2.824746 5.052545 3.218439 2.399249 3.930687
## [3353] 3.009552 4.452554 3.621577 4.903413 3.828053 4.673631 3.814865 5.297425
## [3361] 5.215410 2.745686 1.725670 5.232151 2.739591 3.265355 5.157400 3.852950
## [3369] 4.371923 3.039147 3.634702 2.083951 4.366214 5.667830 2.869816 4.208670
## [3377] 4.814017 4.534589 5.022295 4.931113 4.856003 2.115528 2.390837 4.485811
## [3385] 2.635434 4.349206 2.967985 3.204489 3.728948 3.785703 2.758875 5.440484
## [3393] 2.328433 2.972232 2.210685 4.049971 3.149670 3.763214 3.793553 1.794257
## [3401] 3.231940 4.450935 2.305080 2.747692 3.122395 1.670175 3.813455 2.948194
## [3409] 4.163991 2.790754 1.691835 3.515321 2.923104 4.628400 4.516201 2.165347
## [3417] 3.588854 3.145635 4.335316 3.943234 3.138455 3.942873 5.070238 3.806165
## [3425] 5.911945 2.284327 4.526609 4.655599 5.289641 3.038959 3.695802 3.019187
## [3433] 4.872990 4.514088 6.374363 2.783629 3.260734 5.022960 4.623615 3.164184
## [3441] 2.096505 4.017963 2.736042 2.798304 2.770879 5.732702 3.000863 3.523551
## [3449] 5.174008 3.705252 3.599937 3.820472 5.493330 4.389079 3.408128 5.268136
## [3457] 4.471946 3.635895 2.373021 4.590718 5.129577 2.140053 4.969345 4.012549
## [3465] 4.225598 2.154898 3.201492 3.786657 5.625970 2.756623 2.331884 2.249085
## [3473] 2.098045 3.019187 4.545507 3.028962 5.794683 2.928790 3.217212 3.282226
## [3481] 2.818136 4.007075 4.250643 4.234294 5.077781 2.861157 3.225484 2.223753
## [3489] 4.704017 3.967228 3.998531 2.720159 1.523866 3.097215 6.129954 3.136125
## [3497] 3.064530 4.540769 4.038649 3.927004 3.194772 3.765563 4.399861 3.173101
## [3505] 2.849148 4.252153 2.768270 5.112006 3.338623 3.338347 2.599726 2.203056
## [3513] 5.045355 3.730260 4.555666 4.547720 4.696571 1.521926 2.203164 5.032598
## [3521] 4.542837 5.537223 3.865199 3.800113 4.573265 4.471776 2.921039 1.700794
## [3529] 3.695807 4.025031 4.607558 4.264045 2.895291 4.601758 2.752205 5.150102
## [3537] 1.755711 3.374163 2.326678 2.168249 2.879389 4.362324 4.822624 3.483519
## [3545] 3.106680 2.512917 5.313138 4.975017 2.272084 2.812614 2.937740 3.003699
## [3553] 3.367137 4.020852 3.078828 2.339513 3.116186 4.676857 4.309361 2.266202
## [3561] 4.979680 2.251728 3.092216 2.514013 3.230312 2.276557 4.216043 5.092932
## [3569] 4.193301 6.647899 3.032384 4.304081 4.544552 3.299812 5.004930 2.941237
## [3577] 5.541020 2.680553 3.765074 3.651493 3.862016 2.983773 2.164635 4.007433
## [3585] 4.576911 3.845398 2.165548 4.461180 3.695607 3.890544 4.142757 3.074494
## [3593] 2.251353 2.946064 2.914100 3.751016 4.541259 1.826204 3.223691 1.722244
## [3601] 2.156916 3.822345 2.231745 3.081224 4.443977 2.448978 4.297854 4.020716
## [3609] 3.363290 2.009914 3.622074 3.381354 3.793039 2.685582 2.219021 5.015122
## [3617] 3.275019 3.849776 3.958661 2.811962 5.487576 3.752513 2.690515 4.248439
## [3625] 3.061762 3.105575 4.058241 6.143874 4.343799 2.764142 4.538416 3.939860
## [3633] 3.119479 5.973586 2.122794 3.110190 2.843899 3.770147 4.032350 5.398465
## [3641] 2.772804 4.613110 3.446985 4.316225 3.775689 4.872310 3.538327 2.672976
## [3649] 6.108138 3.784961 3.930595 4.390342 5.092784 3.040533 2.728446 4.118073
## [3657] 2.329436 1.602855 3.205123 3.773447 2.429559 4.429121 2.877571 3.874157
## [3665] 3.860166 4.689845 3.041198 2.612028 3.341927 2.910852 4.393600 3.888772
## [3673] 2.795571 2.409492 4.391263 4.157621 4.650769 4.089940 4.282773 2.019146
## [3681] 3.601504 2.199063 2.936676 1.942042 1.977729 2.896800 4.573234 2.836336
## [3689] 3.107301 4.297564 3.251671 2.972856 3.966182 3.220918 2.696451 2.886080
## [3697] 4.279865 5.067221 3.882363 4.991149 3.837850 4.651766 3.253264 4.394989
## [3705] 5.265828 3.700734 4.375248 3.751002 5.089447 3.860300 3.497890 3.936371
## [3713] 2.736478 2.388582 5.181031 2.693927 2.276202 2.943209 4.819568 2.803531
## [3721] 2.295342 4.121160 3.829181 3.973967 2.282722 4.668562 3.938060 5.212301
## [3729] 3.262296 5.841784 5.921309 2.111025 4.254060 3.717309 3.810532 3.219262
## [3737] 3.409509 2.814453 4.102441 4.268197 4.101565 3.877463 2.072568 3.101947
## [3745] 4.582036 1.948081 2.700967 2.840429 3.410302 4.535887 3.261228 4.558473
## [3753] 2.856471 3.863075 3.475037 2.841392 2.301624 3.959757 3.009415 3.778414
## [3761] 5.437539 4.592167 3.889715 1.889322 4.301622 4.195409 5.184755 4.159782
## [3769] 5.272669 2.286048 3.783818 2.260378 2.800594 5.111927 2.831236 3.582069
## [3777] 3.945876 2.891456 5.320463 3.216457 5.832271 5.094722 3.329854 2.726555
## [3785] 3.127204 2.200785 3.987303 2.607088 4.038132 4.397146 4.118765 4.763209
## [3793] 3.132569 3.260780 3.985332 2.337975 5.291777 2.176232 2.839017 4.510921
## [3801] 2.371079 2.750479 3.840258 2.236023 5.708901 3.836664 4.519279 2.122060
## [3809] 3.250588 4.675134 2.585505 4.643219 3.218289 2.690749 2.661596 1.758729
## [3817] 3.291338 4.664449 2.576980 2.353104 3.148611 2.737274 4.014906 2.226671
## [3825] 3.575929 4.492291 4.940416 4.967259 4.810666 4.491108 1.488995 3.507542
## [3833] 4.858467 2.976181 4.390223 2.548458 4.468444 2.817046 3.658272 4.464833
## [3841] 3.378379 3.027762 2.142346 2.639002 4.665147 4.857059 4.584775 3.729363
## [3849] 4.391496 2.786077 2.253726 2.631489 4.122497 1.745295 3.881223 3.210451
## [3857] 3.478813 3.824539 4.022386 5.189297 4.934419 2.115365 4.911431 4.183792
## [3865] 3.378085 2.134306 1.677087 2.756453 4.336446 5.904921 2.248119 2.255967
## [3873] 2.833499 4.483740 4.402961 4.555352 2.956188 4.471724 4.667001 5.170144
## [3881] 5.118465 3.197844 5.639240 3.146964 4.469751 4.315370 2.808935 4.257511
## [3889] 4.571086 3.776831 5.394296 1.700146 4.454371 2.907512 3.946098 4.477767
## [3897] 4.366879 2.741542 2.076788 4.302696 2.239750 6.084944 2.825045 2.819564
## [3905] 4.772753 3.145434 3.000751 2.279333 4.746854 4.325046 3.680945 3.434875
## [3913] 3.466148 2.452937 3.271154 2.823764 2.825018 4.052057 2.746372 5.013397
## [3921] 3.018818 4.859624 4.708835 6.565567 5.040795 3.794226 2.690858 4.208242
## [3929] 3.715549 4.504509 3.077192 4.865179 2.872846 1.630168 4.689135 3.162238
## [3937] 2.632934 2.898487 3.913667 4.749248 4.362694 4.465287 1.775802 3.159550
## [3945] 2.792508 4.115621 3.941290 2.505911 2.223981 5.798954 1.678895 5.061639
## [3953] 3.965843 3.135665 5.182857 4.839517 3.299339 3.952476 4.319541 1.656252
## [3961] 2.258235 2.138201 3.051012 3.137365 3.428751 4.204002 4.346925 2.283182
## [3969] 3.925510 4.784774 4.245944 5.629383 2.943206 2.823266 3.821308 2.713672
## [3977] 2.237430 3.707612 4.056684 4.411580 2.537452 3.887024 3.410101 2.288512
## [3985] 3.311482 5.058792 3.631462 2.223349 5.478814 3.005706 1.734274 2.977249
## [3993] 3.993620 3.177004 4.320940 2.818825 1.818099 3.243596 5.216270 4.357967
## [4001] 3.445366 3.920230 2.681583 4.229392 4.432430 2.820675 5.076799 4.584009
## [4009] 2.411162 3.883847 3.951495 4.130096 4.903483 2.269331 2.161606 2.145879
## [4017] 3.814098 2.186404 5.746242 3.681102 2.673432 4.309521 3.206070 3.758092
## [4025] 3.088201 3.827577 2.792048 3.242988 2.302368 5.772554 3.319776 3.825483
## [4033] 4.723969 4.464019 2.763101 2.275437 4.221466 2.256991 2.544425 2.866809
## [4041] 2.862958 4.347904 2.755513 5.280342 2.236261 5.303500 4.268536 2.374248
## [4049] 3.249775 1.716524 3.803171 5.215468 3.036129 2.220779 3.830313 5.784703
## [4057] 4.878126 3.167910 2.744293 3.128613 2.416701 5.870350 2.259650 3.886509
## [4065] 3.884071 3.921487 5.157284 3.269812 4.694711 5.093166 3.458517 2.926813
## [4073] 4.378685 2.759269 3.883792 2.269648 2.279143 3.152535 4.144994 2.785631
## [4081] 3.043093 1.525927 6.155955 2.569361 3.759967 2.921432 2.333282 4.477955
## [4089] 4.292271 3.947106 3.230678 4.341557 5.135728 3.937745 4.305272 4.502655
## [4097] 2.213149 4.988320 5.041356 5.317471 3.381364 4.219578 4.403521 5.415984
## [4105] 2.196632 4.229286 2.681087 5.058222 4.064956 4.639324 3.812771 2.808280
## [4113] 2.251532 2.671435 4.804529 5.136876 3.876375 1.858125 3.495341 3.808978
## [4121] 2.814866 3.316277 2.223748 3.827415 3.158929 4.534109 2.812665 3.927124
## [4129] 2.979047 4.061739 2.433508 3.090063 3.745015 2.916468 4.088428 2.065633
## [4137] 4.564435 3.162204 2.078736 3.944441 3.746842 3.454043 3.132139 3.955062
## [4145] 2.655790 4.655912 4.455272 3.088831 4.519061 2.341176 5.762740 2.915463
## [4153] 2.824236 4.439907 2.824159 3.798440 2.791045 4.722069 1.922592 3.798423
## [4161] 4.346349 3.024714 5.301233 2.162897 3.160553 2.194307 4.319450 4.347412
## [4169] 2.895807 3.897831 3.768204 3.948829 3.965973 5.108195 4.495148 4.297646
## [4177] 4.582699 1.879240 4.994217 2.998953 3.006651 2.579350 2.986137 5.015630
## [4185] 4.117827 2.421664 5.021670 4.244148 4.466927 2.755186 2.344457 4.451691
## [4193] 3.841503 4.192881 3.683062 5.277673 3.250494 2.256829 2.866035 5.269350
## [4201] 2.150296 1.723947 1.865240 2.152116 2.968721 5.478953 3.063273 4.378272
## [4209] 4.479585 2.648726 3.559962 1.693164 3.919416 2.695712 2.194256 4.534374
## [4217] 3.860335 4.022563 4.446095 4.572877 3.176814 5.049693 2.686571 2.761550
## [4225] 2.274409 2.802330 4.181086 4.288486 3.046110 1.479370 4.520747 4.001875
## [4233] 5.462635 3.243594 2.610352 4.514079 3.618638 5.106252 3.718998 4.979957
## [4241] 3.862550 4.470298 4.193655 4.328503 3.000803 3.710214 3.048465 3.809698
## [4249] 3.680503 2.866904 3.405909 5.147081 4.576177 4.892329 3.315061 2.830332
## [4257] 3.015456 2.289463 3.167575 3.945909 3.956542 4.297113 4.397117 2.886660
## [4265] 3.698637 4.485170 3.627429 4.632094 3.931118 3.290804 3.586821 5.384804
## [4273] 5.103632 2.707535 4.415185 3.721404 4.977208 4.951637 6.044096 3.804755
## [4281] 2.435607 2.309160 2.188260 3.792140 3.539639 2.859678 4.593922 2.831081
## [4289] 3.171271 3.328344 2.215068 4.493759 3.824578 5.616513 2.812600 4.573804
## [4297] 2.744671 1.695654 2.925953 5.108386 3.794933 5.046517 5.904186 3.990710
## [4305] 4.044487 3.948411 2.209920 2.270740 5.737901 3.790117 4.792322 2.147093
## [4313] 4.394659 1.684305 5.530959 2.285612 3.201517 3.318288 3.204255 2.358337
## [4321] 3.078161 4.425905 3.648904 2.322670 4.345573 4.437005 3.250338 4.323573
## [4329] 3.303970 4.378324 4.360987 6.621574 2.259349 2.885158 5.361536 4.027419
## [4337] 4.303007 2.821342 3.475180 1.661868 2.050481 4.031949 4.170748 4.560278
## [4345] 3.325842 4.521702 2.958935 4.403851 4.624695 1.711535 3.269707 2.870991
## [4353] 4.426350 2.660519 4.624888 2.967897 4.223036 3.960419 2.202754 3.934351
## [4361] 2.821551 3.922063 4.335468 2.707306 3.071813 4.355442 5.698230 4.429936
## [4369] 3.883454 4.350190 5.601207 3.417102 4.217213 4.220757 3.882904 4.343130
## [4377] 3.434136 3.782021 2.616274 4.772549 4.327588 3.728141 2.614031 3.098124
## [4385] 5.118978 4.308599 5.042929 2.795169 5.999703 5.914774 3.985494 4.711633
## [4393] 2.736659 4.226816 3.877634 4.222897 4.414067 4.116004 5.014685 6.803910
## [4401] 4.835430 3.866281 3.882616 2.885463 4.404841 2.941920 2.854247 4.570501
## [4409] 4.308932 3.756276 2.712589 2.757688 2.767459 3.558670 5.081020 2.235097
## [4417] 4.012215 2.788503 2.805945 3.477529 3.185901 4.161756 3.231932 3.802948
## [4425] 4.606864 2.248669 4.028681 3.153770 4.181736 3.626240 3.058200 3.368772
## [4433] 4.798525 4.008975 2.869503 2.269428 4.297543 2.834322 3.924849 4.007487
## [4441] 3.720396 2.660395 3.729500 3.430938 3.741352 2.999978 3.011752 2.195960
## [4449] 4.314720 4.600780 2.752750 2.088886 5.054597 4.669148 3.048699 2.854378
## [4457] 2.681025 3.905749 3.412012 4.669932 2.055711 3.265436 3.410438 3.439304
## [4465] 4.874870 2.730058 3.177096 3.834869 3.770441 5.701575 1.612206 4.234094
## [4473] 5.179977 3.610213 4.588127 2.846047 3.885012 4.968810 2.239518 4.469229
## [4481] 5.842508 4.947180 5.250042 4.493286 2.122281 2.610050 5.925812 2.261654
## [4489] 3.198558 4.376459 5.568042 4.357121 2.155988 3.357755 3.797163 4.548981
## [4497] 4.391151 2.916661 2.757692 6.258736 2.701275 5.236544 4.003084 4.400430
## [4505] 3.132869 2.662678 4.600000 4.671671 1.768701 4.406963 2.982295 4.604258
## [4513] 4.961904 6.321303 2.052254 2.889200 2.672189 4.450624 2.759750 3.537273
## [4521] 2.260202 3.921844 5.189115 3.992005 4.208219 4.419331 3.819990 2.378888
## [4529] 2.297490 3.602289 4.835072 3.069270 2.430590 4.525985 3.217672 2.747817
## [4537] 2.124924 3.074431 2.988004 3.745538 4.328239 5.661792 4.281602 4.178117
## [4545] 4.294012 3.818261 2.182812 2.742430 4.460566 3.368984 4.423197 3.335398
## [4553] 3.888008 3.908173 5.335380 3.861990 2.128960 2.118268 2.780363 3.202988
## [4561] 2.985885 4.579609 3.135531 3.292531 4.469903 4.269354 3.132283 4.919609
## [4569] 3.900104 3.373623 3.211686 2.203748 2.578491 4.254649 2.990478 2.989430
## [4577] 5.869812 2.642179 5.621521 4.066627 2.993853 4.026863 3.281776 2.249719
## [4585] 2.580616 5.392037 3.042249 2.868660 3.873076 3.740259 5.114523 2.945382
## [4593] 5.648687 4.431870 2.566187 3.050858 2.074884 4.430516 2.885162 2.991152
## [4601] 5.868750 3.216026 2.240012 3.291877 2.918010 3.829931 4.453754 5.136133
## [4609] 3.970643 2.718255 3.132289 2.889816 2.811789 4.220040 4.561916 5.479703
## [4617] 2.102791 2.741683 3.355319 2.878738 4.764234 5.066223 4.038739 5.048317
## [4625] 2.583139 3.127446 2.251967 2.772218 5.281393 5.104515 1.870291 3.083311
## [4633] 2.809467 3.565226 3.084658 5.773250 5.828190 3.610157 2.877806 3.889952
## [4641] 4.687531 3.937429 3.463792 3.827174 3.807470 3.264825 4.072926 4.910501
## [4649] 3.097957 2.660897 5.039037 2.768346 3.531050 4.421604 4.975341 2.795397
## [4657] 4.810509 3.944414 2.804864 3.133500 2.762405 2.720658 3.096522 2.568254
## [4665] 2.797526 2.971463 2.587287 4.489104 5.940548 4.517365 4.553930 2.335731
## [4673] 5.087195 2.326396 3.914894 2.652540 4.256247 3.262194 4.017911 4.071864
## [4681] 3.992048 3.135864 4.391149 4.049611 4.514880 5.914614 4.460750 2.571871
## [4689] 2.754151 3.806165 2.681221 3.805976 3.756738 3.740511 2.117517 2.134388
## [4697] 3.761302 4.679516 1.717316 2.693352 4.745781 4.841836 2.231506 4.291878
## [4705] 4.340289 4.552510 5.080300 5.225862 2.398479 4.057210 4.868670 3.473913
## [4713] 5.810362 1.897604 2.314357 2.741238 5.179100 3.995615 3.460683 4.433797
## [4721] 4.180667 3.380085 4.222385 4.719164 2.823069 2.339620 3.159257 4.256888
## [4729] 4.640840 3.974808 2.012905 4.072549 4.006781 4.783532 5.722251 2.856500
## [4737] 2.992601 2.800003 4.002441 4.008937 2.546586 3.216197 4.941686 5.063942
## [4745] 3.991941 4.291139 2.250620 4.438475 4.052225 2.974802 2.093694 5.621828
## [4753] 4.308870 3.576628 4.608449 3.874909 5.771866 3.250554 4.016411 2.304375
## [4761] 2.856280 3.831815 1.578497 4.469273 4.691755 5.059316 2.313027 3.871290
## [4769] 2.928967 4.095164 3.031235 3.884798 4.650879 3.113190 4.415137 2.771622
## [4777] 5.121875 4.160420 4.257987 3.232904 2.578914 4.334460 1.572032 1.822299
## [4785] 1.514434 3.922742 2.873001 2.343595 2.968497 5.971276 3.044481 3.837854
## [4793] 3.782189 4.453814 4.484231 4.486718 4.434145 4.380579 4.926957 2.636658
## [4801] 2.553438 2.677712 3.846172 3.910669 3.827637 3.955909 2.228661 4.486222
## [4809] 3.695968 2.217522 3.975030 4.262825 5.104183 6.580163 5.072942 2.234161
## [4817] 3.957836 2.848253 3.411193 3.926420 2.709739 4.446816 4.971576 3.389655
## [4825] 3.085039 3.894410 3.958951 3.562378 3.896737 3.967188 3.459590 5.124989
## [4833] 4.015396 4.413937 3.776457 3.239325 3.893495 2.915282 2.746276 2.298194
## [4841] 3.972253 3.154499 1.671402 2.887861 5.213177 5.129606 4.532965 4.417807
## [4849] 4.128371 6.029995 4.398106 3.244959 4.390972 3.429454 2.951084 4.282908
## [4857] 4.266955 4.217035 5.690837 2.437069 4.309339 5.329050 2.235831 2.823062
## [4865] 2.146427 2.806809 5.426749 3.042744 2.785895 2.223789 2.231021 4.116045
## [4873] 3.632858 2.483805 1.716997 3.899803 4.842664 3.834630 3.095972 4.470024
## [4881] 3.496383 2.363630 3.194402 5.029600 4.710978 2.184775 2.803651 2.888501
## [4889] 3.648799 1.827303 2.808955 5.721746 4.179874 2.303710 3.740270 2.742318
## [4897] 2.365160 2.324475 3.908016 2.264097 3.971331 2.246670 4.224863 4.428232
## [4905] 4.010772 2.763021 3.644244 2.342564 4.349914 4.189442 4.231228 6.127480
## [4913] 3.848376 5.552151 2.146315 3.233109 3.116127 2.211766 4.297200 2.763926
## [4921] 3.989520 3.182064 2.486424 4.157000 2.775974 3.032710 6.376599 3.741186
## [4929] 2.179990 5.657697 2.211036 2.175178 3.931859 3.594244 1.638381 2.806900
## [4937] 1.865039 4.619890 6.460874 5.882531 4.301225 6.023784 2.271735 2.910677
## [4945] 2.309605 3.367167 4.461639 3.652887 3.233650 4.550966 3.960989 3.054718
## [4953] 3.127020 2.621777 4.079453 3.653460 2.767455 2.712578 2.198343 3.209119
## [4961] 2.206703 2.383411 2.154542 4.244318 3.044634 3.401190 4.706096 5.046557
## [4969] 3.764181 4.399316 3.029751 5.763085 2.508883 4.043339 3.140697 4.559064
## [4977] 3.830117 4.420542 2.961444 4.318258 3.870803 4.096687 2.795238 5.770626
## [4985] 4.374383 3.648229 4.191071 4.150021 3.905763 3.215391 4.492632 4.597388
## [4993] 5.454815 5.345824 3.905063 2.804036 3.609693 4.260537 4.500642 3.334064
## [5001] 1.679396 4.250930 3.187610 3.046900 3.098868 5.150610 2.825691 2.325473
## [5009] 2.512975 3.213738 2.838733 3.675560 2.883226 1.750859 2.374599 4.203307
## [5017] 2.605611 2.852771 2.212092 2.856178 5.474831 3.941193 5.234884 2.265871
## [5025] 2.686241 2.380849 4.295768 3.210283 3.122598 5.728872 4.615844 3.830514
## [5033] 5.828234 3.284683 6.090076 3.836671 3.282125 2.728220 4.396722 4.280374
## [5041] 4.917552 3.018155 3.789272 3.243594 4.382166 3.349770 2.862608 2.857284
## [5049] 2.703274 3.344257 4.435434 4.818015 6.472963 4.347694 4.114768 1.897752
## [5057] 4.285469 2.786732 2.803258 3.211630 3.736916 3.093721 5.770205 5.346273
## [5065] 3.010231 3.615969 4.729195 2.814616 2.257027 4.338263 3.890650 3.161435
## [5073] 4.452457 3.948764 2.919781 5.958584 5.815334 3.878147 4.484417 3.026230
## [5081] 2.587449 2.902481 3.943663 2.532266 3.860331 3.307167 5.308658 1.879650
## [5089] 3.292775 2.930797 2.638793 1.180363 2.229019 5.126905 3.576072 3.135994
## [5097] 2.848234 2.818165 4.495607 4.423268 5.009869 5.669825 2.191813 5.736906
## [5105] 2.273359 7.241472 2.690348 2.924078 5.037529 4.360309 5.146427 3.103786
## [5113] 3.725071 4.006626 3.887413 4.538122 3.015737 3.015030 3.257083 2.957983
## [5121] 2.878589 3.801130 4.658257 2.100798 3.893232 4.580695 4.598162 3.191589
## [5129] 2.188375 3.291677 4.453460 4.376003 2.107097 2.239659 3.123216 4.894888
## [5137] 4.351746 3.878439 3.874858 5.160617 5.113126 4.560475 4.615332 3.729281
## [5145] 5.874548 2.303421 3.307036 4.160056 4.242337 4.436567 2.200055 3.990145
## [5153] 4.688336 3.859856 4.049186 2.923815 2.356406 3.697623 5.361766 4.453422
## [5161] 3.795618 4.546641 2.868713 3.804792 3.157895 4.808052 4.876070 4.017101
## [5169] 3.801169 1.681012 2.843403 2.740513 5.054200 5.043933 2.876053 4.657418
## [5177] 4.602862 4.477618 6.005119 3.291629 4.506887 3.642417 3.300166 5.684518
## [5185] 3.862137 3.024287 3.661608 4.750104 3.898299 4.261946 5.083607 4.434123
## [5193] 4.294303 4.341032 3.080941 2.659666 4.558317 3.560762 2.297563 3.618502
## [5201] 4.660718 3.066387 2.970160 3.912856 3.958524 2.808318 2.778782 3.274811
## [5209] 2.272620 2.993343 1.691196 4.402881 2.978661 2.501585 4.891448 2.794286
## [5217] 3.989778 3.424359 2.888901 1.930936 3.611970 5.148609 3.327023 3.089022
## [5225] 3.650418 4.277065 3.715089 4.951737 3.083673 4.937867 4.542200 2.744400
## [5233] 2.293855 4.417407 2.667661 3.899332 3.791401 1.710389 4.041897 3.454941
## [5241] 3.729120 2.726051 2.798394 3.559447 2.369105 5.107438 2.744006 4.461981
## [5249] 4.170704 5.476631 4.934404 2.724423 4.009107 4.514957 5.396414 2.745871
## [5257] 4.356655 3.875837 6.227936 1.720547 4.807693 4.590894 1.718137 2.160526
## [5265] 2.222316 4.980051 4.525667 2.914882 3.354878 4.535569 4.484464 2.829751
## [5273] 3.483025 4.973829 3.389166 2.984539 3.103450 2.647784 5.018651 4.700430
## [5281] 2.346498 3.993425 4.299763 2.718921 4.430090 5.554831 3.927709 4.365273
## [5289] 2.964339 4.397134 4.648677 3.650337 2.369282 4.905650 2.734482 3.693402
## [5297] 4.044962 5.144839 2.846287 3.843896 4.026778 4.509862 4.355030 4.455623
## [5305] 1.859835 3.950157 2.778334 5.033173 5.201235 4.587894 3.826931 3.372555
## [5313] 5.016332 4.908856 4.276845 3.228946 4.151235 3.826628 2.685228 3.850209
## [5321] 3.113870 4.522929 3.821059 4.063519 4.309433 4.105626 4.277884 2.836478
## [5329] 3.168691 2.163423 2.171589 3.754530 4.953140 4.727295 5.053560 5.684372
## [5337] 3.815916 3.138450 3.533913 3.843363 3.088638 3.088431 4.587440 5.275155
## [5345] 2.772618 3.612194 3.776628 3.060475 2.393318 3.087521 3.662919 2.139567
## [5353] 5.755662 3.676062 4.390814 4.397943 2.992623 2.726790 2.352668 2.333664
## [5361] 3.182999 3.909132 4.493148 4.536988 1.509720 1.749011 4.000216 2.792357
## [5369] 5.923147 3.416416 2.357252 4.518957 3.057820 3.798011 4.987567 4.628310
## [5377] 3.247793 4.371881 2.160916 3.267797 4.470536 4.264822 2.850283 6.152010
## [5385] 3.084339 4.984682 3.795900 4.345102 3.933896 2.265421 2.208399 2.911839
## [5393] 5.856611 1.669801 1.906397 4.652373 4.376936 4.296579 2.934997 2.785314
## [5401] 4.954241 4.680047 1.755672 2.828935 3.759994 1.679908 2.061106 3.783860
## [5409] 3.117137 5.763540 4.194580 5.440887 2.721305 3.923158 2.957041 3.940722
## [5417] 2.141999 3.817546 4.113279 4.470743 2.004196 4.382351 2.176464 3.835125
## [5425] 2.255884 3.510743 2.961117 3.311250 4.412768 5.179251 5.224278 4.136562
## [5433] 5.140889 4.786812 2.070309 5.668269 2.791638 4.039689 4.396578 1.794483
## [5441] 1.684972 3.808063 5.327869 3.941286 2.235433 2.797730 4.067408 2.470548
## [5449] 3.227014 2.819906 2.665444 4.422872 3.809305 2.697888 2.793759 3.769751
## [5457] 3.040760 2.964449 3.512155 1.963711 1.874356 3.255341 4.305127 2.124757
## [5465] 3.598046 2.711068 3.308776 5.025185 2.290280 3.193239 1.874321 2.646137
## [5473] 2.909370 4.436863 2.168856 2.926301 4.471805 5.109533 2.079763 4.897358
## [5481] 3.112046 2.763216 4.885792 5.673289 2.218164 2.792760 5.116116 3.157835
## [5489] 2.824012 3.169301 2.878214 2.716153 5.229705 2.092924 2.178483 3.105306
## [5497] 3.173668 4.188946 3.208094 2.319608 4.302662 1.490333 2.829172 3.759588
## [5505] 5.514185 4.414942 5.219452 4.000202 3.966949 4.552680 4.180168 2.585387
## [5513] 3.755815 4.956077 4.442117 6.102092 3.714392 1.895106 3.705912 3.889517
## [5521] 5.891390 2.871456 3.824767 2.823136 4.579379 1.707919 2.864899 3.422534
## [5529] 1.736596 4.775277 5.081760 4.931508 3.206126 4.594067 3.049824 2.214959
## [5537] 2.130459 4.476400 4.402507 2.295921 5.012809 4.406063 4.860003 4.254114
## [5545] 3.670064 1.904059 2.099308 3.532888 5.669186 2.266267 3.895785 3.913583
## [5553] 2.703478 2.922346 3.860022 3.720758 2.839168 5.066251 3.299003 4.727658
## [5561] 4.525529 6.444723 5.198197 4.278841 1.850094 1.570709 3.984544 4.284918
## [5569] 3.661540 5.781263 4.584858 5.628405 4.366658 4.600539 2.410269 3.840137
## [5577] 2.563968 3.758122 5.815384 2.789561 4.745322 1.859332 4.506248 2.429722
## [5585] 2.744508 4.794159 1.661415 3.279137 3.229272 2.237882 3.297640 2.966308
## [5593] 4.952313 4.463243 4.670468 4.512795 2.719307 3.981930 5.181205 4.393306
## [5601] 4.853109 5.030056 3.345665 3.987966 2.180542 5.664950 4.091558 4.384257
## [5609] 3.550812 3.807876 4.589837 4.391954 4.723829 5.211398 4.520554 3.091674
## [5617] 2.881528 4.401176 2.664514 3.110695 4.181188 5.370919 4.225701 2.982664
## [5625] 4.974628 2.287484 3.312850 5.150978 3.996665 5.231249 4.356066 3.948849
## [5633] 3.109584 5.793409 2.294706 4.513823 2.646008 4.477733 4.091697 3.129876
## [5641] 2.187520 3.115965 3.046455 2.330411 2.780880 2.998714 5.814724 3.123326
## [5649] 5.302179 2.315389 5.635600 4.322534 3.029115 4.292641 3.250821 3.947582
## [5657] 4.785757 4.701711 5.076255 3.825401 3.887164 3.172204 3.417593 2.192723
## [5665] 2.204211 3.729099 3.577221 4.531402 2.854086 4.278140 3.151318 3.496013
## [5673] 3.061337 4.356849 4.375452 3.823838 4.408058 3.019269 2.396588 2.461864
## [5681] 3.021592 2.625362 5.006845 3.178211 2.832527 3.900853 4.820480 3.278154
## [5689] 4.388782 3.470138 4.729682 2.480330 2.714215 4.117634 3.793394 2.360719
## [5697] 2.587472 3.440020 3.225683 3.468108 1.459461 2.870007 3.758498 3.880290
## [5705] 2.354406 3.481546 6.229594 3.785987 3.307784 3.886916 3.757731 3.025828
## [5713] 3.064495 5.181093 3.770274 3.756277 4.480769 3.893547 2.107537 3.880675
## [5721] 4.437884 2.279636 4.511375 4.716347 2.683720 3.113424 3.021487 4.447402
## [5729] 5.515205 2.379544 3.121924 2.713091 3.138576 3.129746 4.769873 4.220547
## [5737] 4.504984 2.799548 4.372328 2.276043 3.033737 4.054101 2.645839 3.375418
## [5745] 2.731425 3.880698 2.348695 3.590340 4.370583 3.837405 3.286214 6.105595
## [5753] 2.379489 1.758789 5.148097 4.655464 5.149378 2.204488 3.102013 2.831423
## [5761] 3.226720 4.846182 1.778240 3.766309 3.108171 2.176484 3.682871 3.118651
## [5769] 5.169962 3.575834 5.038965 2.268303 2.250623 2.262184 4.431531 2.938333
## [5777] 2.181942 3.891266 4.794184 4.355203 3.862493 4.599198 3.427527 4.342341
## [5785] 4.111981 3.114407 5.540242 4.471316 4.114346 2.817473 2.214273 2.851312
## [5793] 4.100880 5.266299 4.304423 4.421600 4.354199 2.900392 3.846098 3.107440
## [5801] 4.577125 4.339244 2.246822 2.729120 3.690270 3.311759 3.201695 4.414162
## [5809] 4.963653 2.887320 1.772564 2.948369 5.088427 5.758189 3.937844 2.248085
## [5817] 4.241164 4.674696 4.056206 4.257368 1.788628 2.754626 3.808433 4.465809
## [5825] 3.008933 2.955007 4.169743 4.613294 4.110435 3.884700 1.612092 4.275981
## [5833] 4.279010 2.848352 2.828090 5.080981 3.773794 4.710572 4.445426 3.195449
## [5841] 4.372316 3.386441 3.783423 2.882370 4.031636 2.181262 4.565016 3.279563
## [5849] 2.663427 4.804527 2.776993 5.688562 3.686247 3.724159 2.886185 5.559971
## [5857] 4.433265 3.828511 4.543757 3.857680 2.632924 5.090077 2.777116 2.999167
## [5865] 2.978168 4.007361 4.392126 3.935861 2.919412 2.652252 3.143739 4.107665
## [5873] 3.073818 5.284596 2.901683 2.945938 2.907124 3.909981 3.240286 3.565479
## [5881] 3.221442 3.766482 4.536110 3.180747 2.380066 3.851601 3.902710 4.082794
## [5889] 2.194481 4.121632 4.556840 5.166291 3.926692 3.407763 3.653130 5.670670
## [5897] 2.860102 2.122645 2.843236 4.425695 4.322369 5.969014 4.316005 3.255418
## [5905] 4.903678 3.069649 3.792225 2.891235 3.829498 5.922494 4.800308 3.121060
## [5913] 2.853239 3.628899 3.915004 4.622644 5.030892 4.604794 3.050840 2.188615
## [5921] 3.651211 4.467593 4.116923 4.924536 3.831407 4.172244 3.412944 5.135347
## [5929] 5.138924 3.402356 4.743281 4.756491 4.490161 5.888956 4.176181 3.764592
## [5937] 3.820467 2.893126 5.887281 2.827249 4.106427 5.619067 3.251668 3.891424
## [5945] 4.381764 4.323496 2.666334 2.369739 3.849239 3.191415 2.212437 2.950973
## [5953] 2.193468 5.210083 4.306851 3.947000 3.664182 4.723065 4.485856 4.311714
## [5961] 4.013822 1.890045 4.756256 4.064977 2.927006 4.559582 3.779003 3.480312
## [5969] 3.774635 3.647532 2.971320 4.981968 3.497987 2.925539 3.535448 3.071746
## [5977] 3.890653 2.799372 2.259817 3.722287 3.772939 3.709528 4.636025 1.714113
## [5985] 3.052124 2.269378 3.012589 2.754987 2.137101 4.932384 4.292095 4.113121
## [5993] 4.309173 2.396877 4.563810 3.210783 4.485709 4.446964 1.758019 2.296500
## [6001] 3.304379 2.325358 3.880000 4.203931 3.018342 4.264446 2.742827 4.370147
## [6009] 3.022271 3.902904 4.604822 3.551925 3.895737 2.757743 3.413768 5.102122
## [6017] 4.512015 6.027869 2.133193 3.942436 4.339850 3.355280 3.045439 2.727821
## [6025] 2.299953 4.985080 3.054141 2.615441 4.226953 5.421418 3.750399 3.999936
## [6033] 5.999685 6.002115 2.593406 3.226410 4.302955 3.963530 3.468701 3.248689
## [6041] 2.800238 2.327557 3.032681 2.320703 5.084470 4.512218 2.269808 4.411337
## [6049] 3.289653 4.368226 3.919469 4.465018 4.267554 5.741956 2.644933 3.845828
## [6057] 2.203295 4.549330 4.423370 4.072426 6.542955 2.583120 3.997463 3.653741
## [6065] 2.458634 3.775637 4.375188 2.816520 4.423294 4.560416 4.634155 4.487654
## [6073] 3.825610 2.764591 4.335898 2.939965 2.226088 3.931064 3.534913 3.808748
## [6081] 3.129806 2.743800 3.090852 3.610927 3.086660 3.189718 4.902876 2.786109
## [6089] 4.062787 4.629257 4.429613 3.356258 2.293748 5.773086 3.699870 3.414755
## [6097] 4.546493 4.391901 2.672321 3.675286 3.918738 4.396898 3.504328 3.789524
## [6105] 4.242679 2.095935 4.487647 3.106357 4.241715 2.290372 4.984751 3.699392
## [6113] 5.129273 3.907783 3.737038 3.842073 4.264537 5.552519 5.174631 2.171770
## [6121] 3.581357 5.624406 4.646629 2.814739 4.494168 4.407114 2.820907 3.225013
## [6129] 3.321885 4.381017 1.744901 5.128731 2.855772 2.220703 2.671131 5.133907
## [6137] 3.142405 4.370084 4.828564 2.729177 2.775096 3.940634 3.804915 3.389268
## [6145] 3.403873 4.333750 4.441190 1.522855 3.257747 4.288881 4.424565 4.080978
## [6153] 2.987378 4.465635 4.510174 3.151190 3.281274 2.824058 5.251240 4.049785
## [6161] 3.798032 2.873308 2.763069 5.428374 5.501202 3.044082 2.420352 3.891450
## [6169] 5.134877 4.517469 5.344030 3.504555 5.017872 3.239196 2.532640 4.215180
## [6177] 2.093713 2.332088 2.134321 4.031672 4.400208 2.812037 2.245185 3.808932
## [6185] 4.915193 2.733819 3.276229 4.021609 4.375488 2.484653 4.137277 3.462265
## [6193] 4.834437 4.369118 3.733392 3.784175 2.715978 3.854949 4.455688 4.473484
## [6201] 3.831015 2.618916 3.753542 3.951237 3.249552 5.865496 1.728509 5.749412
## [6209] 3.737699 2.742180 4.355222 4.442853 4.613842 3.638595 3.582828 3.753731
## [6217] 4.338283 2.251617 3.734574 3.793085 3.947991 3.764760 3.816977 3.790065
## [6225] 1.744812 4.998387 2.284571 3.961277 3.911527 2.591003 2.104858 3.390178
## [6233] 5.144040 3.839791 4.463524 3.749262 4.293249 2.788291 3.039855 5.082290
## [6241] 4.340850 4.692845 2.684879 3.297923 5.332342 4.324928 3.578423 4.309589
## [6249] 2.752565 2.246861 4.507809 2.224008 4.675190 2.722237 4.384444 1.667416
## [6257] 3.899291 4.333546 4.598853 3.187332 4.521499 2.852432 1.655488 3.833708
## [6265] 4.337856 4.692226 2.824623 1.999689 2.636783 2.779471 3.839096 3.851331
## [6273] 4.870616 3.486356 2.799456 3.134113 3.726347 3.723914 2.228276 5.546213
## [6281] 2.728203 2.942083 7.165392 2.819745 3.895627 3.152614 3.779975 4.638206
## [6289] 3.117699 2.315623 3.257780 4.252700 4.374380 3.814126 4.362487 4.169669
## [6297] 5.280651 4.979987 3.549574 2.410242 2.322652 2.105868 3.878310 5.884060
## [6305] 2.777980 3.896124 4.850190 3.543075 3.917223 2.764212 3.328015 3.674315
## [6313] 2.761426 5.609477 2.825939 2.150317 2.712890 5.068016 3.391974 5.021533
## [6321] 5.093709 3.931202 3.149791 4.724753 4.483562 2.908160 4.303058 4.814942
## [6329] 4.717776 5.346999 4.427669 5.277592 4.483107 3.833826 2.193609 3.133699
## [6337] 3.178219 3.963209 2.286650 2.894010 3.324833 2.728208 3.906862 5.171804
## [6345] 2.849723 3.709270 6.179651 2.689996 3.931967 4.700846 2.349789 3.240890
## [6353] 2.240220 2.173985 3.521649 2.753563 4.575533 3.103415 3.425024 3.247515
## [6361] 4.964935 4.200250 2.760072 5.095430 5.089698 2.619503 3.935618 2.934932
## [6369] 4.391550 5.950446 1.600833 2.909330 3.033540 4.171082 3.822342 2.274801
## [6377] 4.594418 1.746106 4.367387 5.184365 2.737130 4.284294 2.526144 6.473169
## [6385] 3.986791 3.009077 2.371793 2.987975 4.627398 5.516876 4.503533 2.840586
## [6393] 5.110138 5.559336 2.933514 3.321042 2.830928 4.470029 3.347411 4.509446
## [6401] 3.319918 3.845815 3.136163 4.457450 3.312097 2.054383 3.304810 2.879566
## [6409] 5.185023 2.775148 4.973015 3.603705 2.298483 3.303918 3.786817 5.613763
## [6417] 3.906193 4.516869 3.884900 3.216567 4.615610 2.239922 2.769059 3.547008
## [6425] 3.885721 5.279790 2.660932 4.319433 3.704485 4.361661 4.014001 3.091545
## [6433] 3.006082 2.638340 3.393509 2.773565Model 3 Stepwise Model
full_model = lm(TARGET ~ ., data=train_c)
step.model <- stepAIC(full_model, direction = "both",
trace = FALSE)
summary(step.model)##
## Call:
## lm(formula = TARGET ~ ï..INDEX + FixedAcidity + CitricAcid +
## ResidualSugar + Chlorides + FreeSulfurDioxide + Density +
## Sulphates + pred1 + pred2, data = train_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -5.1161 -0.5219 0.0862 0.7374 3.6283
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 3.909e+00 1.153e+00 3.389 0.000706 ***
## ï..INDEX 4.405e-06 3.077e-06 1.431 0.152372
## FixedAcidity 6.075e-03 2.769e-03 2.194 0.028288 *
## CitricAcid -2.511e-02 1.775e-02 -1.415 0.157097
## ResidualSugar -7.575e-04 4.657e-04 -1.627 0.103879
## Chlorides -3.394e-01 9.905e-02 -3.426 0.000616 ***
## FreeSulfurDioxide 5.783e-04 1.787e-04 3.237 0.001214 **
## Density -3.938e+00 1.156e+00 -3.406 0.000663 ***
## Sulphates -5.580e-02 2.118e-02 -2.634 0.008448 **
## pred1 -1.822e+00 7.346e-01 -2.481 0.013136 *
## pred2 2.813e+00 7.338e-01 3.834 0.000127 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.142 on 6425 degrees of freedom
## Multiple R-squared: 0.4555, Adjusted R-squared: 0.4547
## F-statistic: 537.5 on 10 and 6425 DF, p-value: < 2.2e-16Model 4 Linear Model
##
## Call:
## lm(formula = TARGET ~ ., data = train_c)
##
## Residuals:
## Min 1Q Median 3Q Max
## -5.0951 -0.5252 0.0947 0.7271 3.5044
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 4.366e+00 1.189e+00 3.673 0.000241 ***
## ï..INDEX 4.482e-06 3.082e-06 1.454 0.145900
## FixedAcidity 5.962e-03 2.800e-03 2.129 0.033279 *
## VolatileAcidity -1.180e-02 1.973e-02 -0.598 0.549796
## CitricAcid -2.438e-02 1.782e-02 -1.368 0.171319
## ResidualSugar -7.511e-04 4.669e-04 -1.609 0.107769
## Chlorides -3.362e-01 1.002e-01 -3.355 0.000799 ***
## FreeSulfurDioxide 5.777e-04 1.804e-04 3.203 0.001365 **
## TotalSulfurDioxide 2.240e-05 6.259e-05 0.358 0.720409
## Density -3.890e+00 1.170e+00 -3.325 0.000890 ***
## pH -1.038e-02 2.120e-02 -0.490 0.624408
## Sulphates -5.485e-02 2.132e-02 -2.573 0.010100 *
## Alcohol 2.649e-03 4.052e-03 0.654 0.513196
## LabelAppeal 9.800e-02 5.226e-02 1.875 0.060827 .
## AcidIndex -2.474e-02 1.760e-02 -1.405 0.159940
## STARS 1.148e-01 5.815e-02 1.974 0.048404 *
## pred1 -1.803e+00 7.442e-01 -2.422 0.015458 *
## pred2 2.643e+00 7.512e-01 3.519 0.000436 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.142 on 6418 degrees of freedom
## Multiple R-squared: 0.4559, Adjusted R-squared: 0.4544
## F-statistic: 316.3 on 17 and 6418 DF, p-value: < 2.2e-16Select Models
## [1] 3335 16test_df2$STARS <- as.factor(test_df2$STARS)
test_df <- test_df[, !(colnames(test_df) %in% c("INDEX"))]
test_df <- test_df[, !(colnames(test_df) %in% c("IN"))]
test_df$TARGET <- 0
test_df$STARS[test_df$STARS>2 & test_df$STARS <3] <- 2.04175498092412
test_df$TARGET <- predict(model2, newdata = test_df, type="response")
y_pred_num <- floor(test_df$TARGET)
y_pred <- factor(y_pred_num, levels=c(0, 1,2,3,4,5,6,7,8))
summary(y_pred)## 0 1 2 3 4 5 6 7 8 NA's
## 0 63 643 718 552 245 27 1 0 1086# write.csv(test_df, 'data/eval_with_preds.csv')
par(mfrow=c(2,2))
hist(test_df$TARGET)
hist(train_df$TARGET)