Imported the file and cleansed the data. We also replaced categorical variables by indicator values

fifa <- read.csv("FIFA20playersratingsComplete.csv")
fifa$team_position = factor(fifa$team_position)
head(fifa)
##   overall age height_cm weight_kg team_position preferred_foot skill_moves pace
## 1      94  32       170        72       Forward           Left           4   87
## 2      93  34       187        83       Forward          Right           5   90
## 3      92  27       175        68    Midfielder          Right           5   91
## 4      91  26       188        87            GK          Right           1   NA
## 5      91  28       175        74       Forward          Right           4   91
## 6      91  28       181        70    Midfielder          Right           4   76
##   shooting passing dribbling defending physic gk_diving gk_handling gk_kicking
## 1       92      92        96        39     66        NA          NA         NA
## 2       93      82        89        35     78        NA          NA         NA
## 3       85      87        95        32     58        NA          NA         NA
## 4       NA      NA        NA        NA     NA        87          92         78
## 5       83      86        94        35     66        NA          NA         NA
## 6       86      92        86        61     78        NA          NA         NA
##   gk_reflexes gk_speed gk_positioning
## 1          NA       NA             NA
## 2          NA       NA             NA
## 3          NA       NA             NA
## 4          89       52             90
## 5          NA       NA             NA
## 6          NA       NA             NA
library(psych)
pairs.panels(fifa[1:6],hist.col="blue",gap=0)

pairs.panels(fifa[c(1,7:12)],hist.col="green",gap=0)

pairs.panels(fifa[c(1,13:18)],hist.col="red",gap=0)

Outlier Analysis

par(mfrow=c(1,4))
boxplot(fifa$age,main="Age")
boxplot(fifa$height_cm,main="Height")
boxplot(fifa$weight_kg,main="Weight")
boxplot(fifa$pace,main="Pace")

boxplot(fifa$shooting,main="Shooting")
boxplot(fifa$passing,main="Passing")
boxplot(fifa$dribbling,main="Dribbling")
boxplot(fifa$defending,main="Defending")

boxplot(fifa$physic,main="Physic")
boxplot(fifa$gk_diving,main="GK Diving")
boxplot(fifa$gk_handling,main="GK Handling")
boxplot(fifa$gk_kicking,main="GK Kicking")

boxplot(fifa$gk_reflexes,main="GK Reflexes")
boxplot(fifa$gk_speed,main="GK Speed")
boxplot(fifa$gk_positioning,main="GK Positioning")

#removing the outliers

Splitting the data into seperate starta of Goal Keepers vs Other Players

fifa_gk = fifa[which(fifa$team_position=="GK"),]
fifa_forward = fifa[which(fifa$team_position=="Forward"),]
fifa_midfielder = fifa[which(fifa$team_position=="Midfielder"),]
fifa_defender = fifa[which(fifa$team_position=="Defender"),]

fifa_gk = fifa_gk[c(-5,-7,-8,-9,-10,-11,-12)]
  
fifa_forward = fifa_forward[c(-5,-14,-15,-16,-17,-18)]
fifa_midfielder = fifa_midfielder[c(-5,-14,-15,-16,-17,-18)]
fifa_defender = fifa_defender[c(-5,-14,-15,-16,-17,-18)]

Estimation of Linear model for response

model_gk = lm(overall ~ age+weight_kg+gk_diving+gk_handling+gk_kicking+gk_reflexes+gk_speed+gk_positioning, data  = fifa_gk)
summary(model_gk)
## 
## Call:
## lm(formula = overall ~ age + weight_kg + gk_diving + gk_handling + 
##     gk_kicking + gk_reflexes + gk_speed + gk_positioning, data = fifa_gk)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.51870 -0.39658  0.02003  0.42267  2.27734 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)    -1.465378   0.445741  -3.288  0.00106 ** 
## age             0.025115   0.005859   4.286 2.09e-05 ***
## weight_kg       0.006916   0.004325   1.599  0.11028    
## gk_diving       0.254972   0.010727  23.769  < 2e-16 ***
## gk_handling     0.217987   0.008848  24.637  < 2e-16 ***
## gk_kicking      0.050370   0.005231   9.630  < 2e-16 ***
## gk_reflexes     0.243872   0.009780  24.935  < 2e-16 ***
## gk_speed        0.009051   0.002854   3.171  0.00159 ** 
## gk_positioning  0.236826   0.008795  26.926  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.6524 on 653 degrees of freedom
## Multiple R-squared:  0.9897, Adjusted R-squared:  0.9896 
## F-statistic:  7865 on 8 and 653 DF,  p-value: < 2.2e-16
model_forward = lm(overall ~ age+weight_kg+pace+shooting+passing+dribbling+physic+skill_moves, data=fifa_forward)
summary(model_forward)
## 
## Call:
## lm(formula = overall ~ age + weight_kg + pace + shooting + passing + 
##     dribbling + physic + skill_moves, data = fifa_forward)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.5435 -1.0672 -0.0955  0.9849  9.2178 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.733199   0.970277   1.786  0.07430 .  
## age         -0.017687   0.013176  -1.342  0.17973    
## weight_kg    0.030027   0.009453   3.177  0.00153 ** 
## pace         0.006423   0.005875   1.093  0.27449    
## shooting     0.460499   0.010965  41.998  < 2e-16 ***
## passing      0.065056   0.009250   7.033 3.37e-12 ***
## dribbling    0.366926   0.016462  22.289  < 2e-16 ***
## physic       0.093577   0.007687  12.173  < 2e-16 ***
## skill_moves -0.132199   0.106939  -1.236  0.21662    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.611 on 1214 degrees of freedom
## Multiple R-squared:  0.9366, Adjusted R-squared:  0.9362 
## F-statistic:  2242 on 8 and 1214 DF,  p-value: < 2.2e-16
model_midfielder = lm(overall ~ age+weight_kg+pace+passing+dribbling+defending+physic+skill_moves, data=fifa_midfielder)
summary(model_midfielder)
## 
## Call:
## lm(formula = overall ~ age + weight_kg + pace + passing + dribbling + 
##     defending + physic + skill_moves, data = fifa_midfielder)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -7.2648 -1.5783 -0.1794  1.2811 16.7356 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.372365   0.931073   1.474  0.14061    
## age          0.058508   0.012394   4.721 2.47e-06 ***
## weight_kg    0.056007   0.009509   5.890 4.34e-09 ***
## pace         0.018026   0.005986   3.011  0.00263 ** 
## passing      0.281067   0.012543  22.408  < 2e-16 ***
## dribbling    0.464164   0.015327  30.284  < 2e-16 ***
## defending    0.044152   0.004952   8.915  < 2e-16 ***
## physic       0.131595   0.007852  16.760  < 2e-16 ***
## skill_moves -0.049090   0.109331  -0.449  0.65347    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.379 on 2710 degrees of freedom
## Multiple R-squared:  0.8411, Adjusted R-squared:  0.8406 
## F-statistic:  1793 on 8 and 2710 DF,  p-value: < 2.2e-16
model_defender = lm(overall ~ age+weight_kg+pace+dribbling+defending+physic+skill_moves, data=fifa_defender)
summary(model_defender)
## 
## Call:
## lm(formula = overall ~ age + weight_kg + pace + dribbling + defending + 
##     physic + skill_moves, data = fifa_defender)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6.4035 -0.9644 -0.0652  0.8342 20.5823 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 3.468590   0.700527   4.951 7.83e-07 ***
## age         0.029912   0.009671   3.093   0.0020 ** 
## weight_kg   0.018590   0.007362   2.525   0.0116 *  
## pace        0.024476   0.004202   5.825 6.39e-09 ***
## dribbling   0.113576   0.005693  19.949  < 2e-16 ***
## defending   0.638398   0.006381 100.043  < 2e-16 ***
## physic      0.137021   0.007391  18.540  < 2e-16 ***
## skill_moves 1.130732   0.097343  11.616  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.792 on 2648 degrees of freedom
## Multiple R-squared:  0.9055, Adjusted R-squared:  0.9052 
## F-statistic:  3623 on 7 and 2648 DF,  p-value: < 2.2e-16

Model Adequacy Checks by residual analysis

par(mfrow=c(1,2))
# generate QQ plot
qqnorm(model_gk$residuals,main="Model for goalkeeper")
qqline(model_gk$residuals)
# generate Scatter Plot
plot(model_gk$fitted.values,model_gk$residuals,pch=20)

par(mfrow=c(1,2))
# generate QQ plot
qqnorm(model_forward$residuals,main="Model for Forward")
qqline(model_forward$residuals)
# generate Scatter Plot
plot(model_forward$fitted.values,model_forward$residuals,pch=20)

par(mfrow=c(1,2))
# generate QQ plot
qqnorm(model_midfielder$residuals,main="Model for Midfielder")
qqline(model_midfielder$residuals)
# generate Scatter Plot
plot(model_midfielder$fitted.values,model_midfielder$residuals,pch=20)

par(mfrow=c(1,2))
# generate QQ plot
qqnorm(model_defender$residuals,main="Model for Defender")
qqline(model_defender$residuals)
# generate Scatter Plot
plot(model_defender$fitted.values,model_defender$residuals,pch=20)

K Fold Cross Validation

# for the goal keeper model, we will perform a 5 fold cross validation
n = dim(fifa_gk)[1]
library(DAAG)
## Warning: package 'DAAG' was built under R version 3.6.3
## Loading required package: lattice
KCV_gk = cv.lm(data=fifa_gk, model_gk, m=5, seed=123)
## Analysis of Variance Table
## 
## Response: overall
##                 Df Sum Sq Mean Sq  F value Pr(>F)    
## age              1    499     499  1173.66 <2e-16 ***
## weight_kg        1    430     430  1009.58 <2e-16 ***
## gk_diving        1  23579   23579 55405.46 <2e-16 ***
## gk_handling      1   1421    1421  3338.88 <2e-16 ***
## gk_kicking       1     72      72   169.62 <2e-16 ***
## gk_reflexes      1    466     466  1095.67 <2e-16 ***
## gk_speed         1      2       2     4.76  0.029 *  
## gk_positioning   1    309     309   725.01 <2e-16 ***
## Residuals      653    278       0                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in cv.lm(data = fifa_gk, model_gk, m = 5, seed = 123): 
## 
##  As there is >1 explanatory variable, cross-validation
##  predicted values for a fold are not a linear function
##  of corresponding overall predicted values.  Lines that
##  are shown for the different folds are approximate

## 
## fold 1 
## Observations in test set: 132 
##                 4    26    104     140    154    171   203    216    255    324
## Predicted   89.45 86.64 83.665 82.9983 82.239 82.321 81.75 82.204 81.292 79.460
## cvpred      89.41 86.63 83.629 82.9599 82.228 82.322 81.77 82.185 81.244 79.452
## overall     91.00 88.00 84.000 83.0000 83.000 83.000 82.00 82.000 82.000 80.000
## CV residual  1.59  1.37  0.371  0.0401  0.772  0.678  0.23 -0.185  0.756  0.548
##               572   621    652    659     765    778    801    851    879
## Predicted   78.88 77.19 78.803 77.326 77.0528 76.399 76.310 77.240 76.786
## cvpred      78.87 77.19 78.821 77.285 77.0302 76.385 76.268 77.211 76.781
## overall     78.00 78.00 78.000 78.000 77.0000 77.000 77.000 77.000 76.000
## CV residual -0.87  0.81 -0.821  0.715 -0.0302  0.615  0.732 -0.211 -0.781
##                885    922     930     968   1008   1144   1155    1195   1225
## Predicted   75.696 76.757 75.9359 75.9828 76.281 74.461 75.566 75.0076 74.501
## cvpred      75.659 76.743 75.9388 75.9326 76.282 74.417 75.561 74.9723 74.467
## overall     76.000 76.000 76.0000 76.0000 76.000 75.000 75.000 75.0000 75.000
## CV residual  0.341 -0.743  0.0612  0.0674 -0.282  0.583 -0.561  0.0277  0.533
##                1228 1232   1276   1299   1380   1434    1435    1468   1492
## Predicted   75.0874 75.3 76.005 75.743 73.746 74.578 74.0448 74.1183 73.418
## cvpred      75.0305 75.2 75.966 75.737 73.722 74.547 74.0602 74.0727 73.395
## overall     75.0000 75.0 75.000 75.000 74.000 74.000 74.0000 74.0000 74.000
## CV residual -0.0305 -0.2 -0.966 -0.737  0.278 -0.547 -0.0602 -0.0727  0.605
##                1633   1693   1716    1749   1847   1858  1875   1911   1924
## Predicted   74.0525 73.443 72.781 73.0517 72.200 72.334 72.45 72.297 72.810
## cvpred      74.0114 73.431 72.782 73.0285 72.138 72.276 72.42 72.282 72.785
## overall     74.0000 73.000 73.000 73.0000 73.000 73.000 73.00 73.000 73.000
## CV residual -0.0114 -0.431  0.218 -0.0285  0.862  0.724  0.58  0.718  0.215
##               1966  2116   2166    2239   2519   2538  2627   2712   2793
## Predicted   73.562 73.25 71.934 72.0384 71.358 71.788 70.59 71.428 70.572
## cvpred      73.553 73.24 71.878 71.9879 71.303 71.771 70.54 71.417 70.536
## overall     73.000 72.00 72.000 72.0000 71.000 71.000 71.00 71.000 71.000
## CV residual -0.553 -1.24  0.122  0.0121 -0.303 -0.771  0.46 -0.417  0.464
##               2918    2955   2965   2970   3015    3029   3057   3075  3191
## Predicted   70.525 70.1025 69.400 69.212 69.504 70.0896 69.432 70.941 71.14
## cvpred      70.476 70.0538 69.361 69.214 69.497 70.0488 69.408 70.917 71.11
## overall     70.000 70.0000 70.000 70.000 70.000 70.0000 70.000 70.000 70.00
## CV residual -0.476 -0.0538  0.639  0.786  0.503 -0.0488  0.592 -0.917 -1.11
##               3244   3303  3382   3409   3438   3462  3477   3644   3687 3739
## Predicted   69.349 69.399 69.17 69.679 68.814 68.465 69.88 68.326 68.578 68.6
## cvpred      69.323 69.357 69.16 69.645 68.787 68.425 69.84 68.306 68.603 68.6
## overall     70.000 70.000 69.00 69.000 69.000 69.000 69.00 69.000 69.000 69.0
## CV residual  0.677  0.643 -0.16 -0.645  0.213  0.575 -0.84  0.694  0.397  0.4
##               3814   3836   3868   3887   3926   4042   4135   4353   4361
## Predicted   68.544 68.227 67.727 68.786 67.363 68.532 68.676 67.463 67.635
## cvpred      68.608 68.207 67.726 68.733 67.315 68.524 68.688 67.418 67.602
## overall     69.000 69.000 68.000 68.000 68.000 68.000 68.000 68.000 67.000
## CV residual  0.392  0.793  0.274 -0.733  0.685 -0.524 -0.688  0.582 -0.602
##               4515    4582  4614   4667   4670   4684  4796   4827   4898
## Predicted   66.548 67.1058 66.00 66.321 67.620 66.799 65.33 66.850 65.552
## cvpred      66.511 67.0214 65.98 66.283 67.581 66.757 65.21 66.818 65.528
## overall     67.000 67.0000 67.00 67.000 67.000 67.000 67.00 67.000 66.000
## CV residual  0.489 -0.0214  1.02  0.717 -0.581  0.243  1.79  0.182  0.472
##               4969   4989   5069    5071   5078  5100   5120   5151   5300
## Predicted   65.388 65.117 65.890 65.9728 65.386 67.07 65.738 65.110 65.203
## cvpred      65.396 65.069 65.831 65.9255 65.346 67.03 65.693 65.032 65.127
## overall     66.000 66.000 66.000 66.0000 66.000 66.00 66.000 66.000 66.000
## CV residual  0.604  0.931  0.169  0.0745  0.654 -1.03  0.307  0.968  0.873
##               5319   5391   5485    5576   5645  5714   5773   5925   5974
## Predicted   64.308 64.931 64.835 65.1191 64.539 65.40 64.810 63.726 64.792
## cvpred      64.264 64.889 64.811 65.0732 64.478 65.34 64.786 63.733 64.742
## overall     65.000 65.000 65.000 65.0000 65.000 65.00 65.000 64.000 64.000
## CV residual  0.736  0.111  0.189 -0.0732  0.522 -0.34  0.214  0.267 -0.742
##               5996  6002   6020   6035   6212   6220  6268    6315   6376
## Predicted   63.784 65.05 63.828 63.537 62.660 62.157 64.47 62.9346 62.092
## cvpred      63.774 65.01 63.781 63.481 62.659 62.111 64.44 62.9035 62.064
## overall     64.000 64.00 64.000 64.000 63.000 63.000 63.00 63.0000 63.000
## CV residual  0.226 -1.01  0.219  0.519  0.341  0.889 -1.44  0.0965  0.936
##               6437   6500  6502   6557   6577  6630   6666    6670   6720
## Predicted   63.030 62.133 60.92 61.180 61.123 59.72 61.664 62.0081 61.175
## cvpred      62.954 62.102 60.86 61.142 61.095 59.66 61.629 61.9236 61.129
## overall     63.000 62.000 62.00 62.000 62.000 62.00 62.000 62.0000 61.000
## CV residual  0.046 -0.102  1.14  0.858  0.905  2.34  0.371  0.0764 -0.129
##               6749    7021   7131   7226
## Predicted   61.400 59.0016 57.300 55.787
## cvpred      61.402 58.9164 57.224 55.726
## overall     61.000 59.0000 58.000 55.000
## CV residual -0.402  0.0836  0.776 -0.726
## 
## Sum of squares = 57.6    Mean square = 0.44    n = 132 
## 
## fold 2 
## Observations in test set: 133 
##                 15     81    107   113    118    176    209   217   261    287
## Predicted   88.235 84.733 83.180 82.93 83.211 82.307 81.421 82.27 81.41 80.690
## cvpred      88.272 84.802 83.287 82.94 83.207 82.297 81.455 82.23 81.52 80.784
## overall     89.000 85.000 84.000 84.00 84.000 83.000 82.000 82.00 81.00 81.000
## CV residual  0.728  0.198  0.713  1.06  0.793  0.703  0.545 -0.23 -0.52  0.216
##                297   307     332     352    357     358    384   518    547
## Predicted   81.609 80.63 79.9461 80.0493 79.812 80.0964 79.772 79.59 79.120
## cvpred      81.642 80.67 79.9749 80.0535 79.814 80.0993 79.766 79.56 79.156
## overall     81.000 81.00 80.0000 80.0000 80.000 80.0000 80.000 79.00 79.000
## CV residual -0.642  0.33  0.0251 -0.0535  0.186 -0.0993  0.234 -0.56 -0.156
##                549    685   729    799    813    883     940    957    1190
## Predicted   78.101 78.535 78.07 76.655 77.305 76.290 75.9241 76.352 74.8941
## cvpred      78.166 78.555 78.17 76.658 77.315 76.281 75.9803 76.402 74.9619
## overall     78.000 78.000 77.00 77.000 77.000 76.000 76.0000 76.000 75.0000
## CV residual -0.166 -0.555 -1.17  0.342 -0.315 -0.281  0.0197 -0.402  0.0381
##                1243   1359   1439   1496  1561   1655    1756   1836   1837
## Predicted   74.9107 75.374 74.891 74.815 75.26 73.744 72.9374 73.284 72.743
## cvpred      74.9247 75.433 74.959 74.821 75.32 73.781 73.0512 73.269 72.782
## overall     75.0000 75.000 74.000 74.000 74.00 73.000 73.0000 73.000 73.000
## CV residual  0.0753 -0.433 -0.959 -0.821 -1.32 -0.781 -0.0512 -0.269  0.218
##               1862   1918  2001   2002   2009   2010   2022   2070   2233
## Predicted   73.182 73.152 74.13 73.189 73.545 73.471 72.118 72.170 71.818
## cvpred      73.262 73.203 74.14 73.108 73.632 73.437 72.081 72.198 71.831
## overall     73.000 73.000 73.00 73.000 73.000 73.000 73.000 72.000 72.000
## CV residual -0.262 -0.203 -1.14 -0.108 -0.632 -0.437  0.919 -0.198  0.169
##               2247   2258   2278   2520    2581   2657    2674  2716  2722
## Predicted   72.552 71.362 71.435 70.725 70.9812 71.491 70.9860 70.66 72.11
## cvpred      72.543 71.382 71.442 70.773 71.0119 71.513 70.9854 70.66 72.21
## overall     72.000 72.000 72.000 71.000 71.0000 71.000 71.0000 71.00 71.00
## CV residual -0.543  0.618  0.558  0.227 -0.0119 -0.513  0.0146  0.34 -1.21
##               2809   2820   2937  2984   3003   3025   3070    3099   3123
## Predicted   70.366 71.397 70.125 68.89 69.123 69.357 69.600 69.9189 70.552
## cvpred      70.493 71.445 70.134 68.92 69.123 69.401 69.629 69.9415 70.562
## overall     71.000 71.000 70.000 70.00 70.000 70.000 70.000 70.0000 70.000
## CV residual  0.507 -0.445 -0.134  1.08  0.877  0.599  0.371  0.0585 -0.562
##               3133   3141  3174   3176  3202   3437  3458   3487   3514   3572
## Predicted   69.873 69.710 69.16 70.585 71.31 69.318 70.07 68.599 68.794 69.127
## cvpred      69.856 69.694 69.07 70.629 71.43 69.363 70.09 68.642 68.812 69.142
## overall     70.000 70.000 70.00 70.000 70.00 69.000 69.00 69.000 69.000 69.000
## CV residual  0.144  0.306  0.93 -0.629 -1.43 -0.363 -1.09  0.358  0.188 -0.142
##              3620    3718    3924   3946   4071 4151  4227   4307   4367   4406
## Predicted   69.17 68.9840 68.0518 67.675 68.334 66.7 67.89 68.432 66.270 66.706
## cvpred      69.23 68.9441 68.0344 67.724 68.325 66.7 67.81 68.387 66.288 66.729
## overall     69.00 69.0000 68.0000 68.000 68.000 68.0 68.00 68.000 67.000 67.000
## CV residual -0.23  0.0559 -0.0344  0.276 -0.325  1.3  0.19 -0.387  0.712  0.271
##              4444   4538   4573   4609   4653   4694   4791   4835   4860
## Predicted   68.17 66.174 67.010 67.853 67.754 66.684 67.381 66.302 66.130
## cvpred      68.26 66.178 67.026 67.877 67.751 66.683 67.422 66.359 66.208
## overall     67.00 67.000 67.000 67.000 67.000 67.000 67.000 66.000 66.000
## CV residual -1.26  0.822 -0.026 -0.877 -0.751  0.317 -0.422 -0.359 -0.208
##               4900   4997   5000    5054   5065   5091   5297 5316    5341
## Predicted   66.590 66.395 66.342 65.9084 65.567 66.396 65.480 66.4 65.0187
## cvpred      66.634 66.458 66.369 65.9234 65.651 66.387 65.488 66.4 65.0314
## overall     66.000 66.000 66.000 66.0000 66.000 66.000 66.000 65.0 65.0000
## CV residual -0.634 -0.458 -0.369  0.0766  0.349 -0.387  0.512 -1.4 -0.0314
##               5399  5607   5633    5654  5725   5726   5733 5735    5782   5936
## Predicted   65.259 66.48 65.778 65.0276 63.44 65.811 64.497 63.9 64.0555 64.551
## cvpred      65.308 66.51 65.768 65.0802 63.42 65.787 64.476 63.9 64.0301 64.515
## overall     65.000 65.00 65.000 65.0000 65.00 65.000 65.000 65.0 64.0000 64.000
## CV residual -0.308 -1.51 -0.768 -0.0802  1.58 -0.787  0.524  1.1 -0.0301 -0.515
##               5975   5985  6042    6045   6086   6224   6232  6361   6508  6540
## Predicted   64.149 64.449 65.29 64.0010 64.978 62.524 63.363 63.71 61.232 63.08
## cvpred      64.133 64.471 65.33 63.9404 64.957 62.546 63.355 63.69 61.272 63.09
## overall     64.000 64.000 64.00 64.0000 64.000 63.000 63.000 63.00 62.000 62.00
## CV residual -0.133 -0.471 -1.33  0.0596 -0.957  0.454 -0.355 -0.69  0.728 -1.09
##             6627  6639   6655  6689   6808  6830   6839  7060   7079   7144
## Predicted   62.0 63.68 62.171 63.61 60.109 60.22 60.839 57.46 58.250 56.780
## cvpred      62.1 63.75 62.165 63.65 60.058 60.12 60.782 57.46 58.248 56.804
## overall     62.0 62.00 62.000 62.00 61.000 61.00 61.000 59.00 58.000 57.000
## CV residual -0.1 -1.75 -0.165 -1.65  0.942  0.88  0.218  1.54 -0.248  0.196
##              7201
## Predicted   54.72
## cvpred      54.75
## overall     56.00
## CV residual  1.25
## 
## Sum of squares = 60.1    Mean square = 0.45    n = 133 
## 
## fold 3 
## Observations in test set: 133 
##                 79    213    219    286    379    503    617  647    712    767
## Predicted   85.375 81.478 81.341 81.532 79.517 78.677 78.779 76.6 77.155 77.299
## cvpred      85.383 81.511 81.371 81.587 79.504 78.703 78.736 76.6 77.161 77.335
## overall     85.000 82.000 82.000 81.000 80.000 79.000 78.000 78.0 77.000 77.000
## CV residual -0.383  0.489  0.629 -0.587  0.496  0.297 -0.736  1.4 -0.161 -0.335
##                776   796    921   1063   1075    1091  1128    1222   1248
## Predicted   76.208 76.53 75.626 76.479 75.834 74.9875 76.01 74.9890 74.537
## cvpred      76.214 76.48 75.655 76.536 75.807 75.0056 76.03 74.9877 74.546
## overall     77.000 77.00 76.000 76.000 75.000 75.0000 75.00 75.0000 75.000
## CV residual  0.786  0.52  0.345 -0.536 -0.807 -0.0056 -1.03  0.0123  0.454
##                1258   1450   1461    1479   1515    1605   1664   1682   1718
## Predicted   74.9166 73.426 74.303 74.0336 74.605 73.9241 72.228 73.287 72.728
## cvpred      74.9163 73.411 74.319 74.0836 74.629 73.9662 72.252 73.231 72.696
## overall     75.0000 74.000 74.000 74.0000 74.000 74.0000 73.000 73.000 73.000
## CV residual  0.0837  0.589 -0.319 -0.0836 -0.629  0.0338  0.748 -0.231  0.304
##               1727    1759   1823    1842   1857   1928 2043   2065  2185
## Predicted   72.391 72.9359 73.732 72.9540 72.618 73.570 71.1 72.083 72.21
## cvpred      72.394 72.9691 73.805 72.9598 72.631 73.619 71.0 72.141 72.19
## overall     73.000 73.0000 73.000 73.0000 73.000 73.000 72.0 72.000 72.00
## CV residual  0.606  0.0309 -0.805  0.0402  0.369 -0.619  1.0 -0.141 -0.19
##               2216   2266   2480   2624    2665   2666     2668   2701    2703
## Predicted   72.969 71.868 70.174 70.830 70.9405 71.530 70.90097 70.473 70.9036
## cvpred      72.998 71.896 70.231 70.846 70.9372 71.532 70.99195 70.463 70.9324
## overall     72.000 72.000 71.000 71.000 71.0000 71.000 71.00000 71.000 71.0000
## CV residual -0.998  0.104  0.769  0.154  0.0628 -0.532  0.00805  0.537  0.0676
##               2723    2725   2729   2743   2910   3062   3077    3124   3189
## Predicted   71.114 70.9630 71.651 71.181 69.758 70.078 70.135 69.8913 69.560
## cvpred      71.146 70.9836 71.721 71.166 69.767 70.105 70.119 69.9036 69.509
## overall     71.000 71.0000 71.000 71.000 70.000 70.000 70.000 70.0000 70.000
## CV residual -0.146  0.0164 -0.721 -0.166  0.233 -0.105 -0.119  0.0964  0.491
##              3234   3366  3471   3504   3583   3588   3600   3619   3674
## Predicted   71.50 69.577 71.03 69.473 69.078 69.111 69.190 69.485 68.623
## cvpred      71.54 69.585 71.06 69.469 69.102 69.111 69.257 69.569 68.623
## overall     70.00 70.000 69.00 69.000 69.000 69.000 69.000 69.000 69.000
## CV residual -1.54  0.415 -2.06 -0.469 -0.102 -0.111 -0.257 -0.569  0.377
##                3787   3857   3861  3933   3978   3979   3988   4062   4114
## Predicted   68.9558 68.230 68.344 67.85 67.869 68.681 67.658 67.576 67.528
## cvpred      68.9633 68.251 68.376 67.86 67.846 68.691 67.661 67.558 67.525
## overall     69.0000 68.000 68.000 68.00 68.000 68.000 68.000 68.000 68.000
## CV residual  0.0367 -0.251 -0.376  0.14  0.154 -0.691  0.339  0.442  0.475
##               4155   4245   4289  4418   4458   4512   4526   4590   4600
## Predicted   68.566 67.534 67.723 66.69 66.045 67.444 66.054 67.372 66.641
## cvpred      68.573 67.552 67.737 66.71 66.075 67.423 66.062 67.409 66.663
## overall     68.000 68.000 68.000 67.00 67.000 67.000 67.000 67.000 67.000
## CV residual -0.573  0.448  0.263  0.29  0.925 -0.423  0.938 -0.409  0.337
##               4637   4702  4723   4738   4747    4775   4798   4871    4902
## Predicted   67.341 67.469 66.67 66.717 67.229 67.0027 66.475 66.370 65.9952
## cvpred      67.359 67.468 66.66 66.689 67.224 66.9527 66.444 66.395 65.9751
## overall     67.000 67.000 67.00 67.000 67.000 67.0000 67.000 66.000 66.0000
## CV residual -0.359 -0.468  0.34  0.311 -0.224  0.0473  0.556 -0.395  0.0249
##              5082   5134  5143   5161    5186   5223  5285 5343   5345  5436
## Predicted   64.25 65.728 67.56 65.350 66.0620 66.375 67.19 66.4 64.373 66.24
## cvpred      64.23 65.783 67.54 65.366 66.0809 66.377 67.24 66.4 64.395 66.24
## overall     66.00 66.000 66.00 66.000 66.0000 66.000 66.00 65.0 65.000 65.00
## CV residual  1.77  0.217 -1.54  0.634 -0.0809 -0.377 -1.24 -1.4  0.605 -1.24
##               5465   5578   5618   5663  5763  5922   5973    6113   6253  6271
## Predicted   65.511 65.792 64.538 65.478 67.52 64.56 63.865 63.9787 62.867 62.70
## cvpred      65.547 65.802 64.561 65.478 67.54 64.57 63.862 63.9749 62.861 62.73
## overall     65.000 65.000 65.000 65.000 65.00 64.00 64.000 64.0000 63.000 63.00
## CV residual -0.547 -0.802  0.439 -0.478 -2.54 -0.57  0.138  0.0251  0.139  0.27
##               6353 6363  6375  6400   6530   6564   6609   6614   6628   6632
## Predicted   62.776 64.1 64.10 62.44 62.517 61.815 62.306 62.618 61.112 62.197
## cvpred      62.765 64.1 64.14 62.44 62.552 61.818 62.296 62.616 61.135 62.209
## overall     63.000 63.0 63.00 63.00 62.000 62.000 62.000 62.000 62.000 62.000
## CV residual  0.235 -1.1 -1.14  0.56 -0.552  0.182 -0.296 -0.616  0.865 -0.209
##               6638  6677  6715  6752   6793  6869  6936 6945  7038    7090 7196
## Predicted   61.562 60.89 62.01 59.43 60.878 61.80 60.29 60.3 57.69 57.9876 56.6
## cvpred      61.601 60.92 62.03 59.46 60.931 61.86 60.34 60.3 57.71 58.0178 56.5
## overall     62.000 62.00 61.00 61.00 61.000 60.00 60.00 60.0 59.00 58.0000 56.0
## CV residual  0.399  1.08 -1.03  1.54  0.069 -1.86 -0.34 -0.3  1.29 -0.0178 -0.5
##               7254
## Predicted   49.746
## cvpred      49.759
## overall     50.000
## CV residual  0.241
## 
## Sum of squares = 62    Mean square = 0.47    n = 133 
## 
## fold 4 
## Observations in test set: 132 
##                 7    29    80     97    151    162   164     185    235    268
## Predicted   88.40 86.37 85.36 83.324 82.815 82.334 82.69 82.9838 82.319 80.816
## cvpred      88.37 86.34 85.35 83.272 82.814 82.324 82.71 82.9479 82.352 80.813
## overall     90.00 88.00 85.00 84.000 83.000 83.000 83.00 83.0000 82.000 81.000
## CV residual  1.63  1.66 -0.35  0.728  0.186  0.676  0.29  0.0521 -0.352  0.187
##                334    350     371    385    432    471   577     595    706
## Predicted   79.761 80.108 79.8724 80.551 79.020 79.242 79.58 78.0984 78.854
## cvpred      79.722 80.106 79.9054 80.579 78.984 79.233 79.54 78.0543 78.871
## overall     80.000 80.000 80.0000 80.000 79.000 79.000 78.00 78.0000 78.000
## CV residual  0.278 -0.106  0.0946 -0.579  0.016 -0.233 -1.54 -0.0543 -0.871
##                 781    789    906    920   929   1019   1084  1149   1182
## Predicted   77.0816 76.866 76.838 75.699 77.26 75.669 74.168 75.66 74.805
## cvpred      77.0748 76.847 76.819 75.703 77.25 75.657 74.153 75.62 74.782
## overall     77.0000 77.000 76.000 76.000 76.00 76.000 75.000 75.00 75.000
## CV residual -0.0748  0.153 -0.819  0.297 -1.25  0.343  0.847 -0.62  0.218
##               1184  1223  1255    1343   1349   1432  1445   1446   1551   1707
## Predicted   74.437 75.99 74.75 74.9468 74.475 73.618 75.07 74.302 74.247 73.356
## cvpred      74.425 76.01 74.78 74.9766 74.476 73.633 75.09 74.289 74.275 73.365
## overall     75.000 75.00 75.00 75.0000 75.000 74.000 74.00 74.000 74.000 73.000
## CV residual  0.575 -1.01  0.22  0.0234  0.524  0.367 -1.09 -0.289 -0.275 -0.365
##               1752   1793   1822   1946   2206  2236   2246   2288   2490
## Predicted   72.918 72.267 73.346 73.459 71.480 71.70 72.286 72.283 70.650
## cvpred      72.883 72.287 73.365 73.463 71.506 71.71 72.287 72.378 70.589
## overall     73.000 73.000 73.000 73.000 72.000 72.00 72.000 72.000 71.000
## CV residual  0.117  0.713 -0.365 -0.463  0.494  0.29 -0.287 -0.378  0.411
##               2549   2559  2564   2570   2599   2621   2667  2687   2704   2711
## Predicted   70.135 70.929 72.08 71.483 70.815 71.836 71.624 71.20 70.754 70.269
## cvpred      70.134 70.988 72.09 71.499 70.763 71.816 71.685 71.24 70.815 70.279
## overall     71.000 71.000 71.00 71.000 71.000 71.000 71.000 71.00 71.000 71.000
## CV residual  0.866  0.012 -1.09 -0.499  0.237 -0.816 -0.685 -0.24  0.185  0.721
##               2734   2973    2992  3089    3152   3340   3398  3421   3448
## Predicted   70.665 70.197 69.8996 69.45 70.0043 69.684 69.105 68.72 69.804
## cvpred      70.692 70.165 69.9289 69.43 70.0855 69.742 69.103 68.72 69.797
## overall     71.000 70.000 70.0000 70.00 70.0000 70.000 69.000 69.00 69.000
## CV residual  0.308 -0.165  0.0711  0.57 -0.0855  0.258 -0.103  0.28 -0.797
##               3475   3510   3645   3783   3961   4077   4086   4096   4108
## Predicted   68.560 69.129 68.349 68.629 68.186 67.880 68.605 67.717 68.759
## cvpred      68.462 69.106 68.392 68.692 68.157 67.887 68.676 67.743 68.828
## overall     69.000 69.000 69.000 69.000 68.000 68.000 68.000 68.000 68.000
## CV residual  0.538 -0.106  0.608  0.308 -0.157  0.113 -0.676  0.257 -0.828
##               4138    4142   4164    4222   4348   4355   4363   4409   4534
## Predicted   68.383 67.8970 68.603 68.0355 68.519 67.711 66.033 66.543 66.804
## cvpred      68.366 67.9217 68.694 68.0886 68.509 67.696 66.031 66.514 66.854
## overall     68.000 68.0000 68.000 68.0000 68.000 67.000 67.000 67.000 67.000
## CV residual -0.366  0.0783 -0.694 -0.0886 -0.509 -0.696  0.969  0.486  0.146
##               4549   4565  4575   4619   4715   4922    4962    4965   4992
## Predicted   67.492 66.726 68.57 67.616 67.108 65.644 65.9778 65.9940 66.236
## cvpred      67.537 66.681 68.59 67.625 67.116 65.627 65.9758 65.9606 66.209
## overall     67.000 67.000 67.00 67.000 67.000 66.000 66.0000 66.0000 66.000
## CV residual -0.537  0.319 -1.59 -0.625 -0.116  0.373  0.0242  0.0394 -0.209
##               4999    5027   5058    5068   5153   5183   5185   5187   5247
## Predicted   66.716 65.9490 66.703 65.9053 65.092 65.866 66.047 66.526 66.771
## cvpred      66.692 65.9276 66.759 65.9016 65.101 65.889 66.085 66.578 66.795
## overall     66.000 66.0000 66.000 66.0000 66.000 66.000 66.000 66.000 66.000
## CV residual -0.692  0.0724 -0.759  0.0984  0.899  0.111 -0.085 -0.578 -0.795
##               5302   5394   5468   5647   5679  5711   5730 5801  5898   5932
## Predicted   65.641 64.570 65.857 65.211 65.285 66.91 64.644 62.9 64.49 63.230
## cvpred      65.669 64.514 65.891 65.265 65.363 66.97 64.723 62.9 64.51 63.252
## overall     66.000 65.000 65.000 65.000 65.000 65.00 65.000 64.0 64.00 64.000
## CV residual  0.331  0.486 -0.891 -0.265 -0.363 -1.97  0.277  1.1 -0.51  0.748
##               5935  5977   6016   6039   6066   6205  6233   6265   6272  6379
## Predicted   63.234 63.64 64.295 64.516 64.084 62.766 64.69 62.763 63.652 64.03
## cvpred      63.252 63.66 64.279 64.552 64.102 62.717 64.68 62.735 63.676 64.09
## overall     64.000 64.00 64.000 64.000 64.000 63.000 63.00 63.000 63.000 63.00
## CV residual  0.748  0.34 -0.279 -0.552 -0.102  0.283 -1.68  0.265 -0.676 -1.09
##               6381   6393 6554   6694   6796   6811   6897   7083  7227   7229
## Predicted   62.307 62.508 60.8 61.218 60.573 60.738 60.163 57.799 57.05 53.400
## cvpred      62.316 62.537 60.8 61.254 60.539 60.796 60.178 57.826 57.09 53.392
## overall     63.000 63.000 62.0 62.000 61.000 61.000 60.000 58.000 55.00 54.000
## CV residual  0.684  0.463  1.2  0.746  0.461  0.204 -0.178  0.174 -2.09  0.608
## 
## Sum of squares = 55.8    Mean square = 0.42    n = 132 
## 
## fold 5 
## Observations in test set: 132 
##                14     31     32    33     57      68    112     167    199
## Predicted   87.56 87.729 87.594 86.55 85.381 85.1203 83.540 83.0706 82.200
## cvpred      87.56 87.662 87.602 86.46 85.335 85.0979 83.522 83.0248 82.158
## overall     89.00 88.000 88.000 88.00 86.000 85.0000 84.000 83.0000 82.000
## CV residual  1.44  0.338  0.398  1.54  0.665 -0.0979  0.478 -0.0248 -0.158
##                205    275   372    375    378     382    386    422    472
## Predicted   82.216 81.528 79.66 80.181 79.157 80.0194 80.185 80.228 79.489
## cvpred      82.228 81.518 79.66 80.223 79.135 80.0298 80.145 80.164 79.462
## overall     82.000 81.000 80.00 80.000 80.000 80.0000 80.000 80.000 79.000
## CV residual -0.228 -0.518  0.34 -0.223  0.865 -0.0298 -0.145 -0.164 -0.462
##                 525    589    704     873   913    971    976    994  1062
## Predicted   78.9675 77.826 78.760 75.9087 76.19 76.222 76.207 75.602 74.67
## cvpred      79.0329 77.795 78.763 75.9005 76.13 76.245 76.151 75.642 74.66
## overall     79.0000 78.000 78.000 76.0000 76.00 76.000 76.000 76.000 76.00
## CV residual -0.0329  0.205 -0.763  0.0995 -0.13 -0.245 -0.151  0.358  1.34
##              1070   1083   1179   1266   1286   1442   1488   1510   1531
## Predicted   74.96 75.429 74.890 75.912 75.244 74.146 74.435 74.838 74.600
## cvpred      74.94 75.429 74.851 75.881 75.148 74.136 74.405 74.815 74.583
## overall     76.00 75.000 75.000 75.000 75.000 74.000 74.000 74.000 74.000
## CV residual  1.06 -0.429  0.149 -0.881 -0.148 -0.136 -0.405 -0.815 -0.583
##               1568   1583   1679   1686   1702   1709   1738   1839   1850
## Predicted   74.273 74.692 73.173 73.204 73.300 73.180 73.503 73.326 72.561
## cvpred      74.268 74.685 73.202 73.144 73.306 73.172 73.546 73.315 72.521
## overall     74.000 74.000 73.000 73.000 73.000 73.000 73.000 73.000 73.000
## CV residual -0.268 -0.685 -0.202 -0.144 -0.306 -0.172 -0.546 -0.315  0.479
##               1891   1896   1959   2069   2073   2112   2118   2237   2274
## Predicted   72.415 73.282 72.064 71.750 71.430 72.359 71.117 71.284 71.669
## cvpred      72.369 73.265 72.038 71.774 71.486 72.369 71.073 71.224 71.574
## overall     73.000 73.000 73.000 72.000 72.000 72.000 72.000 72.000 72.000
## CV residual  0.631 -0.265  0.962  0.226  0.514 -0.369  0.927  0.776  0.426
##               2377  2392   2495    2685   2757   2893  2967   3033    3127
## Predicted   71.125 72.87 71.091 70.9641 71.630 70.481 70.41 69.702 69.9976
## cvpred      71.108 72.86 71.078 70.9254 71.642 70.476 70.42 69.698 69.9641
## overall     72.000 72.00 71.000 71.0000 71.000 70.000 70.00 70.000 70.0000
## CV residual  0.892 -0.86 -0.078  0.0746 -0.642 -0.476 -0.42  0.302  0.0359
##               3146   3313    3329   3394  3495  3506    3513   3528   3597
## Predicted   69.514 69.633 70.0445 68.754 69.15 68.66 68.9537 68.752 68.307
## cvpred      69.447 69.603 70.0508 68.758 69.16 68.66 68.9598 68.734 68.273
## overall     70.000 70.000 70.0000 69.000 69.00 69.00 69.0000 69.000 69.000
## CV residual  0.553  0.397 -0.0508  0.242 -0.16  0.34  0.0402  0.266  0.727
##              3657    3672    3679   3982   4011    4065    4070   4088   4113
## Predicted   67.50 68.8939 69.0767 67.730 68.660 68.0307 67.9312 67.795 67.362
## cvpred      67.47 68.9228 69.0513 67.721 68.713 68.0473 67.9093 67.752 67.388
## overall     69.00 69.0000 69.0000 68.000 68.000 68.0000 68.0000 68.000 68.000
## CV residual  1.53  0.0772 -0.0513  0.279 -0.713 -0.0473  0.0907  0.248  0.612
##               4120  4130    4352   4477   4524   4591  4605  4631   4633   4680
## Predicted   67.455 66.81 67.9294 66.825 66.289 68.014 66.60 67.60 66.296 66.089
## cvpred      67.436 66.78 67.9088 66.825 66.268 67.962 66.61 67.59 66.295 66.108
## overall     68.000 68.00 68.0000 67.000 67.000 67.000 67.00 67.00 67.000 67.000
## CV residual  0.564  1.22  0.0912  0.175  0.732 -0.962  0.39 -0.59  0.705  0.892
##               4687   4752   4889   4920   4947   4948  5125  5132  5190    5192
## Predicted   66.385 67.424 65.900 66.123 65.795 65.660 67.14 64.96 65.71 66.0451
## cvpred      66.435 67.438 65.882 66.141 65.827 65.642 67.16 64.95 65.67 66.0367
## overall     67.000 67.000 66.000 66.000 66.000 66.000 66.00 66.00 66.00 66.0000
## CV residual  0.565 -0.438  0.118 -0.141  0.173  0.358 -1.16  1.05  0.33 -0.0367
##               5199   5274   5328   5464 5490   5492   5493  5625   5694   5815
## Predicted   65.882 66.337 64.283 64.634 67.1 64.612 65.219 66.10 65.095 63.714
## cvpred      65.894 66.342 64.281 64.592 67.1 64.636 65.195 66.06 65.114 63.767
## overall     66.000 66.000 65.000 65.000 65.0 65.000 65.000 65.00 65.000 64.000
## CV residual  0.106 -0.342  0.719  0.408 -2.1  0.364 -0.195 -1.06 -0.114  0.233
##               5819   5854    5930   6308   6377   6403   6433    6570  6589
## Predicted   63.749 64.418 63.9385 63.391 63.336 62.141 63.777 61.9726 63.24
## cvpred      63.751 64.444 63.9076 63.422 63.339 62.151 63.774 61.9783 63.26
## overall     64.000 64.000 64.0000 63.000 63.000 63.000 63.000 62.0000 62.00
## CV residual  0.249 -0.444  0.0924 -0.422 -0.339  0.849 -0.774  0.0217 -1.26
##             6631   6633   6714   6826  6990   7003   7039  7049   7070    7135
## Predicted   61.5 62.136 61.157 61.498 59.70 59.887 59.403 57.10 59.932 58.0522
## cvpred      61.5 62.129 61.226 61.507 59.69 59.906 59.428 57.09 59.943 58.0985
## overall     62.0 62.000 61.000 61.000 59.00 59.000 59.000 59.00 59.000 58.0000
## CV residual  0.5 -0.129 -0.226 -0.507 -0.69 -0.906 -0.428  1.91 -0.943 -0.0985
##               7191   7210
## Predicted   55.386 56.545
## cvpred      55.416 56.548
## overall     56.000 56.000
## CV residual  0.584 -0.548
## 
## Sum of squares = 50.5    Mean square = 0.38    n = 132 
## 
## Overall (Sum over all 132 folds) 
##    ms 
## 0.432
sum((fifa_gk$overall-KCV_gk$cvpred)^2)
## [1] 286
1-sum((fifa_gk$overall-KCV_gk$cvpred)^2)/sum((fifa_gk$overall-mean(fifa_gk$overall))^2)
## [1] 0.989
# for the forward player model, we will perform a 5 fold cross validation
n = dim(fifa_forward)[1]
library(DAAG)
KCV_forward = cv.lm(data=fifa_forward, model_forward, m=5, seed=123)
## Analysis of Variance Table
## 
## Response: overall
##               Df Sum Sq Mean Sq  F value Pr(>F)    
## age            1   3586    3586  1381.50 <2e-16 ***
## weight_kg      1     21      21     8.05 0.0046 ** 
## pace           1   6018    6018  2318.35 <2e-16 ***
## shooting       1  32804   32804 12636.93 <2e-16 ***
## passing        1   2494    2494   960.76 <2e-16 ***
## dribbling      1   1253    1253   482.73 <2e-16 ***
## physic         1    389     389   149.72 <2e-16 ***
## skill_moves    1      4       4     1.53 0.2166    
## Residuals   1214   3151       3                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in cv.lm(data = fifa_forward, model_forward, m = 5, seed = 123): 
## 
##  As there is >1 explanatory variable, cross-validation
##  predicted values for a fold are not a linear function
##  of corresponding overall predicted values.  Lines that
##  are shown for the different folds are approximate

## 
## fold 1 
## Observations in test set: 244 
##                 1    11    21    35    53     87    102   119   193    206
## Predicted   93.11 87.32 87.31 84.61 82.75 84.716 84.280 81.32 79.89 82.289
## cvpred      93.24 87.55 87.45 84.74 82.89 84.755 84.399 81.37 80.05 82.361
## overall     94.00 89.00 89.00 88.00 87.00 85.000 84.000 84.00 83.00 82.000
## CV residual  0.76  1.45  1.55  3.26  4.11  0.245 -0.399  2.63  2.95 -0.361
##               246    294   315   318   329   333  414    419   441    458   482
## Predicted   80.31 79.881 81.96 82.05 81.49 78.46 80.2 79.224 75.62 79.644 77.75
## cvpred      80.45 80.039 82.12 82.15 81.63 78.66 80.2 79.224 75.64 79.798 77.77
## overall     82.00 81.000 81.00 81.00 80.00 80.00 80.0 80.000 79.00 79.000 79.00
## CV residual  1.55  0.961 -1.12 -1.15 -1.63  1.34 -0.2  0.776  3.36 -0.798  1.23
##               484    542      613   628    629     632  657    660   691    728
## Predicted   80.63 78.517 77.95186 72.86 78.871 77.8843 75.3 78.819 78.45 76.763
## cvpred      80.65 78.693 77.99265 72.93 78.898 77.9056 75.3 78.839 78.59 76.788
## overall     79.00 79.000 78.00000 78.00 78.000 78.0000 78.0 78.000 78.00 77.000
## CV residual -1.65  0.307  0.00735  5.07 -0.898  0.0944  2.7 -0.839 -0.59  0.212
##               760   827    828   841   959   984  1022  1028   1042   1044
## Predicted   78.83 79.49 77.705 78.74 76.18 77.39 79.04 77.51 76.724 76.421
## cvpred      78.74 79.56 77.727 78.86 76.26 77.44 79.14 77.45 76.779 76.635
## overall     77.00 77.00 77.000 77.00 76.00 76.00 76.00 76.00 76.000 76.000
## CV residual -1.74 -2.56 -0.727 -1.86 -0.26 -1.44 -3.14 -1.45 -0.779 -0.635
##              1092   1098  1141  1156  1168  1172   1206  1261  1282   1292
## Predicted   73.79 75.391 77.09 73.16 73.85 76.98 75.696 72.47 73.82 75.569
## cvpred      73.85 75.549 77.12 73.28 73.71 76.96 75.814 72.45 73.76 75.623
## overall     75.00 75.000 75.00 75.00 75.00 75.00 75.000 75.00 75.00 75.000
## CV residual  1.15 -0.549 -2.12  1.72  1.29 -1.96 -0.814  2.55  1.24 -0.623
##              1306  1307   1320  1335  1414   1440  1443     1449  1462  1466
## Predicted   71.93 76.67 75.423 73.94 75.54 73.888 75.24 73.98110 72.33 71.99
## cvpred      71.76 76.77 75.467 73.94 75.42 73.852 75.38 73.99668 72.47 72.05
## overall     75.00 75.00 75.000 75.00 74.00 74.000 74.00 74.00000 74.00 74.00
## CV residual  3.24 -1.77 -0.467  1.06 -1.42  0.148 -1.38  0.00332  1.53  1.95
##              1543  1584   1652    1708   1712  1719    1757 1772   1780  1803
## Predicted   75.45 75.18 73.420 73.0147 73.516 73.86 72.8937 70.2 72.249 74.15
## cvpred      75.58 75.12 73.561 73.0699 73.502 73.85 72.9418 70.2 72.241 74.15
## overall     74.00 74.00 74.000 73.0000 73.000 73.00 73.0000 73.0 73.000 73.00
## CV residual -1.58 -1.12  0.439 -0.0699 -0.502 -0.85  0.0582  2.8  0.759 -1.15
##              1817  1821  1825  1887   1898 1978   1980  2041    2045   2052
## Predicted   66.84 70.57 74.74 74.24 73.726 71.0 72.709 73.64 71.8582 72.298
## cvpred      66.66 70.53 74.78 74.34 73.761 70.9 72.628 73.65 71.9109 72.295
## overall     73.00 73.00 73.00 73.00 73.000 73.0 73.000 72.00 72.0000 72.000
## CV residual  6.34  2.47 -1.78 -1.34 -0.761  2.1  0.372 -1.65  0.0891 -0.295
##               2080  2093  2110  2153    2208  2271 2306   2317  2349   2384
## Predicted   72.589 67.51 70.75 73.63 72.0513 73.18 73.6 71.409 73.73 72.700
## cvpred      72.672 67.32 70.79 73.62 72.0324 73.18 73.5 71.413 73.76 72.586
## overall     72.000 72.00 72.00 72.00 72.0000 72.00 72.0 72.000 72.00 72.000
## CV residual -0.672  4.68  1.21 -1.62 -0.0324 -1.18 -1.5  0.587 -1.76 -0.586
##              2398   2416   2417 2468  2472    2493    2497   2499  2509   2563
## Predicted   70.19 71.675 72.706 70.6 71.12 70.9274 70.9111 71.883 66.54 70.296
## cvpred      70.25 71.856 72.821 70.6 71.24 70.9756 71.0939 71.774 66.38 70.212
## overall     72.00 72.000 72.000 71.0 71.00 71.0000 71.0000 71.000 71.00 71.000
## CV residual  1.75  0.144 -0.821  0.4 -0.24  0.0244 -0.0939 -0.774  4.62  0.788
##              2565   2576   2633   2638   2654   2750  2805  2829   2923   2936
## Predicted   73.02 71.454 70.458 70.586 70.375 70.711 69.79 72.68 70.949 69.751
## cvpred      73.04 71.482 70.509 70.633 70.327 70.566 69.73 72.71 70.982 69.831
## overall     71.00 71.000 71.000 71.000 71.000 71.000 71.00 71.00 70.000 70.000
## CV residual -2.04 -0.482  0.491  0.367  0.673  0.434  1.27 -1.71 -0.982  0.169
##              2953   3035  3067   3076  3129  3194   3262   3288   3307  3310
## Predicted   71.39 70.329 71.44 70.853 70.57 67.71 69.133 69.249 70.625 66.58
## cvpred      71.38 70.316 71.43 70.854 70.52 67.67 69.007 69.231 70.603 66.41
## overall     70.00 70.000 70.00 70.000 70.00 70.00 70.000 70.000 70.000 70.00
## CV residual -1.38 -0.316 -1.43 -0.854 -0.52  2.33  0.993  0.769 -0.603  3.59
##              3349  3406  3538   3539  3618   3643   3658   3688  3707   3751
## Predicted   68.12 67.97 71.25 69.967 67.78 69.452 68.765 69.626 66.65 69.267
## cvpred      67.98 67.94 71.02 69.961 67.59 69.404 68.784 69.666 66.64 69.171
## overall     70.00 69.00 69.00 69.000 69.00 69.000 69.000 69.000 69.00 69.000
## CV residual  2.02  1.06 -2.02 -0.961  1.41 -0.404  0.216 -0.666  2.36 -0.171
##                 3770  3793  3805   3846   3854   3886    3943 3959  3968  3976
## Predicted   69.03869 71.90 67.16 68.163 67.467 68.514 67.8182 69.1 70.81 64.89
## cvpred      68.99257 71.85 67.26 68.191 67.517 68.566 67.9344 69.1 70.74 64.91
## overall     69.00000 69.00 69.00 68.000 68.000 68.000 68.0000 68.0 68.00 68.00
## CV residual  0.00743 -2.85  1.74 -0.191  0.483 -0.566  0.0656 -1.1 -2.74  3.09
##              3996   4018  4067   4069   4072    4122  4206  4304  4328    4339
## Predicted   69.00 67.607 65.66 67.142 68.252 68.0494 66.96 66.35 69.91 68.1725
## cvpred      69.02 67.614 65.51 67.109 68.248 67.9557 66.97 66.26 70.03 68.0382
## overall     68.00 68.000 68.00 68.000 68.000 68.0000 68.00 68.00 68.00 68.0000
## CV residual -1.02  0.386  2.49  0.891 -0.248  0.0443  1.03  1.74 -2.03 -0.0382
##             4346   4358  4376  4391  4449  4463  4484  4603  4645   4646  4656
## Predicted   67.1 66.276 68.01 68.22 70.26 66.00 65.64 66.13 68.35 66.460 65.36
## cvpred      67.1 66.281 68.17 68.28 70.28 65.95 65.58 65.97 68.22 66.333 65.31
## overall     68.0 67.000 67.00 67.00 67.00 67.00 67.00 67.00 67.00 67.000 67.00
## CV residual  0.9  0.719 -1.17 -1.28 -3.28  1.05  1.42  1.03 -1.22  0.667  1.69
##              4731   4758   4812   4831    4832   4839  4887  4946   4985  5114
## Predicted   69.61 67.390 67.673 65.479 66.0895 65.486 62.97 68.15 67.048 65.93
## cvpred      69.56 67.454 67.678 65.485 66.0269 65.478 62.72 68.11 66.925 65.83
## overall     67.00 67.000 67.000 66.000 66.0000 66.000 66.00 66.00 66.000 66.00
## CV residual -2.56 -0.454 -0.678  0.515 -0.0269  0.522  3.28 -2.11 -0.925  0.17
##              5121   5140  5155 5159   5177   5180   5246  5271   5272   5325
## Predicted   61.27 67.080 67.46 67.5 66.439 66.059 67.043 67.50 66.967 64.775
## cvpred      61.03 66.935 67.51 67.5 66.241 65.868 66.977 67.44 66.872 64.582
## overall     66.00 66.000 66.00 66.0 66.000 66.000 66.000 66.00 66.000 65.000
## CV residual  4.97 -0.935 -1.51 -1.5 -0.241  0.132 -0.977 -1.44 -0.872  0.418
##               5339  5353  5426   5460  5511  5532  5587 5602   5624  5652  5672
## Predicted   65.340 66.87 66.57 65.966 63.70 62.82 66.15 66.2 65.046 62.33 66.33
## cvpred      65.218 66.93 66.48 65.904 63.64 62.64 66.07 66.1 64.572 62.36 66.27
## overall     65.000 65.00 65.00 65.000 65.00 65.00 65.00 65.0 65.000 65.00 65.00
## CV residual -0.218 -1.93 -1.48 -0.904  1.36  2.36 -1.07 -1.1  0.428  2.64 -1.27
##              5687  5692  5704  5718   5719   5752  5753   5755    5797  5958
## Predicted   62.82 64.77 64.00 64.80 64.693 65.591 66.33 64.549 63.9235 66.34
## cvpred      62.58 64.71 63.85 64.84 64.445 65.455 66.48 64.456 63.9007 66.36
## overall     65.00 65.00 65.00 65.00 65.000 65.000 65.00 65.000 64.0000 64.00
## CV residual  2.42  0.29  1.15  0.16  0.555 -0.455 -1.48  0.544  0.0993 -2.36
##              5982   6004    6008   6088   6130  6145   6148  6172  6243  6266
## Predicted   62.48 63.718 64.1461 65.011 64.404 68.33 64.800 64.15 61.48 65.92
## cvpred      62.48 63.653 63.9212 64.769 64.366 68.32 64.847 64.11 61.37 65.92
## overall     64.00 64.000 64.0000 64.000 64.000 64.00 64.000 63.00 63.00 63.00
## CV residual  1.52  0.347  0.0788 -0.769 -0.366 -4.32 -0.847 -1.11  1.63 -2.92
##              6278  6295   6300   6332   6417  6426  6455  6461   6473   6476
## Predicted   63.26 64.73 63.360 62.291 62.010 62.07 65.27 53.78 62.558 62.512
## cvpred      63.16 64.58 63.258 62.145 62.108 61.78 65.13 53.32 62.577 62.378
## overall     63.00 63.00 63.000 63.000 63.000 63.00 63.00 63.00 62.000 62.000
## CV residual -0.16 -1.58 -0.258  0.855  0.892  1.22 -2.13  9.68 -0.577 -0.378
##             6498  6532  6536  6585  6586   6599  6676   6686  6716  6718   6731
## Predicted   60.5 63.24 61.07 63.50 59.78 61.493 64.65 62.540 65.26 62.90 60.224
## cvpred      60.3 63.21 60.86 63.54 59.73 61.355 64.63 62.453 65.18 62.81 60.112
## overall     62.0 62.00 62.00 62.00 62.00 62.000 62.00 62.000 61.00 61.00 61.000
## CV residual  1.7 -1.21  1.14 -1.54  2.27  0.645 -2.63 -0.453 -4.18 -1.81  0.888
##              6742  6836  6856   6908   6924   7017   7059  7071   7199   7208
## Predicted   60.17 59.50 58.14 59.287 60.710 59.388 60.053 58.13 56.998 56.601
## cvpred      59.98 59.23 57.99 59.201 60.563 59.408 59.642 57.75 56.796 56.376
## overall     61.00 61.00 60.00 60.000 60.000 59.000 59.000 59.00 56.000 56.000
## CV residual  1.02  1.77  2.01  0.799 -0.563 -0.408 -0.642  1.25 -0.796 -0.376
## 
## Sum of squares = 741    Mean square = 3.04    n = 244 
## 
## fold 2 
## Observations in test set: 245 
##                10   27     59    66   135    148   155  158    189  192    196
## Predicted   87.91 82.9 85.690 83.96 81.66 82.344 82.07 80.7 82.958 85.1 82.835
## cvpred      87.89 82.8 85.702 83.87 81.63 82.263 81.91 80.7 82.891 85.0 82.916
## overall     90.00 88.0 86.000 86.00 83.00 83.000 83.00 83.0 83.000 83.0 82.000
## CV residual  2.11  5.2  0.298  2.13  1.37  0.737  1.09  2.3  0.109 -2.0 -0.916
##               212    241   254    277   278   289  328      335    348  354
## Predicted   80.64 82.449 83.22 81.394 77.40 79.41 77.4 79.96246 79.178 78.2
## cvpred      80.64 82.523 83.15 81.499 77.46 79.36 77.3 79.99142 79.081 78.2
## overall     82.00 82.000 82.00 81.000 81.00 81.00 80.0 80.00000 80.000 80.0
## CV residual  1.36 -0.523 -1.15 -0.499  3.54  1.64  2.7  0.00858  0.919  1.8
##                405   407   425  429     452   462    476    509     513    538
## Predicted   80.218 85.39 78.71 77.5 78.7067 81.00 78.102 79.488 78.9642 78.369
## cvpred      80.259 85.51 78.65 77.4 78.9037 80.99 78.086 79.418 78.9771 78.452
## overall     80.000 80.00 80.00 79.0 79.0000 79.00 79.000 79.000 79.0000 79.000
## CV residual -0.259 -5.51  1.35  1.6  0.0963 -1.99  0.914 -0.418  0.0229  0.548
##                 573     602   641    655   766   798   806   810    823   858
## Predicted   77.9677 78.2055 75.03 78.733 75.64 75.75 74.33 74.66 77.940 78.59
## cvpred      78.0159 78.0964 74.93 78.875 75.54 75.76 74.56 74.67 77.824 78.52
## overall     78.0000 78.0000 78.00 78.000 77.00 77.00 77.00 77.00 77.000 77.00
## CV residual -0.0159 -0.0964  3.07 -0.875  1.46  1.24  2.44  2.33 -0.824 -1.52
##                893    915    942   945   963 1004  1027 1038  1174   1180  1278
## Predicted   75.438 76.647 76.095 77.88 74.54 74.7 74.88 76.9 75.52 74.431 75.38
## cvpred      75.328 76.693 76.122 77.95 74.57 74.6 74.87 77.0 75.54 74.312 75.26
## overall     76.000 76.000 76.000 76.00 76.00 76.0 76.00 76.0 75.00 75.000 75.00
## CV residual  0.672 -0.693 -0.122 -1.95  1.43  1.4  1.13 -1.0 -0.54  0.688 -0.26
##              1314   1392  1395  1400  1489  1567  1570  1581  1608  1610   1615
## Predicted   77.03 74.840 75.66 75.65 76.45 75.55 72.38 75.74 77.56 75.35 74.420
## cvpred      77.14 74.719 75.84 75.71 76.49 75.59 72.51 75.68 77.68 75.36 74.303
## overall     75.00 74.000 74.00 74.00 74.00 74.00 74.00 74.00 74.00 74.00 74.000
## CV residual -2.14 -0.719 -1.84 -1.71 -2.49 -1.59  1.49 -1.68 -3.68 -1.36 -0.303
##              1646  1647  1690  1722   1791   1811   1913   1915  1917    1920
## Predicted   73.28 71.88 71.64 75.20 72.491 73.658 73.270 72.444 75.02 72.9672
## cvpred      73.16 71.93 71.59 75.07 72.437 73.641 73.331 72.592 74.92 72.9215
## overall     74.00 74.00 73.00 73.00 73.000 73.000 73.000 73.000 73.00 73.0000
## CV residual  0.84  2.07  1.41 -2.07  0.563 -0.641 -0.331  0.408 -1.92  0.0785
##               1932  1937  1952  1976  1977  1979  2087   2117 2134  2138  2202
## Predicted   73.164 71.46 71.14 71.21 71.50 73.73 70.02 71.770 71.1 69.92 73.77
## cvpred      73.227 71.65 71.16 71.15 71.49 73.79 70.02 71.771 71.1 69.87 73.82
## overall     73.000 73.00 73.00 73.00 73.00 73.00 72.00 72.000 72.0 72.00 72.00
## CV residual -0.227  1.35  1.84  1.85  1.51 -0.79  1.98  0.229  0.9  2.13 -1.82
##             2214  2265  2277   2295   2341   2356   2357    2376  2432  2439
## Predicted   69.4 67.40 74.78 71.412 72.695 72.755 71.598 72.0110 69.32 69.99
## cvpred      69.4 67.34 74.83 71.292 72.784 72.703 71.508 72.0261 69.18 70.01
## overall     72.0 72.00 72.00 72.000 72.000 72.000 72.000 72.0000 72.00 72.00
## CV residual  2.6  4.66 -2.83  0.708 -0.784 -0.703  0.492 -0.0261  2.82  1.99
##               2460  2483   2542  2562  2569   2602   2623  2636   2649  2651
## Predicted   70.938 70.67 71.638 72.97 72.11 70.241 71.193 69.96 71.358 69.95
## cvpred      70.874 70.56 71.688 72.93 72.05 70.253 71.277 69.99 71.416 69.97
## overall     71.000 71.00 71.000 71.00 71.00 71.000 71.000 71.00 71.000 71.00
## CV residual  0.126  0.44 -0.688 -1.93 -1.05  0.747 -0.277  1.01 -0.416  1.03
##                2694 2718   2730   2786   2807  2824   2874 2905  2934 2940
## Predicted   70.8792 72.8 70.872 71.482 71.652 69.83 69.198 66.5 67.33 68.2
## cvpred      70.9762 73.0 70.819 71.518 71.558 69.79 69.027 66.5 67.15 68.1
## overall     71.0000 71.0 71.000 71.000 71.000 71.00 70.000 70.0 70.00 70.0
## CV residual  0.0238 -2.0  0.181 -0.518 -0.558  1.21  0.973  3.5  2.85  1.9
##               2956  2975   2998  3054   3107   3166  3178    3180   3199   3205
## Predicted   69.768 67.66 69.110 72.21 69.705 70.096 72.61 70.0720 69.718 70.296
## cvpred      69.774 67.63 69.071 72.19 69.464 70.124 72.71 70.0532 69.743 70.215
## overall     70.000 70.00 70.000 70.00 70.000 70.000 70.00 70.0000 70.000 70.000
## CV residual  0.226  2.37  0.929 -2.19  0.536 -0.124 -2.71 -0.0532  0.257 -0.215
##              3254  3259  3260  3359   3360  3370   3417   3418   3435  3446
## Predicted   68.89 66.99 71.66 67.02 70.222 66.15 68.463 69.777 68.368 67.38
## cvpred      68.84 66.76 71.67 66.85 70.209 66.05 68.497 69.812 68.278 67.33
## overall     70.00 70.00 70.00 70.00 70.000 69.00 69.000 69.000 69.000 69.00
## CV residual  1.16  3.24 -1.67  3.15 -0.209  2.95  0.503 -0.812  0.722  1.67
##               3452  3549  3561   3581  3641  3693  3788    3811   3827   3838
## Predicted   68.410 70.08 67.52 69.229 70.23 67.17 67.38 68.9575 68.417 68.233
## cvpred      68.233 70.09 67.44 69.265 70.13 67.23 67.32 68.9612 68.473 68.222
## overall     69.000 69.00 69.00 69.000 69.00 69.00 69.00 69.0000 69.000 69.000
## CV residual  0.767 -1.09  1.56 -0.265 -1.13  1.77  1.68  0.0388  0.527  0.778
##              3894 3915  3919  3923   3934  3942  3960   4009   4034  4045  4068
## Predicted   67.21 70.3 66.76 68.75 68.252 69.54 65.97 68.388 67.672 69.92 66.89
## cvpred      67.21 70.4 66.75 68.75 68.328 69.59 65.73 68.297 67.673 70.04 66.83
## overall     68.00 68.0 68.00 68.00 68.000 68.00 68.00 68.000 68.000 68.00 68.00
## CV residual  0.79 -2.4  1.25 -0.75 -0.328 -1.59  2.27 -0.297  0.327 -2.04  1.17
##              4110  4132  4204  4214  4234   4259    4314   4318   4323   4329
## Predicted   71.46 70.72 69.16 65.33 66.04 67.212 68.1436 68.832 68.180 68.385
## cvpred      71.41 70.97 69.06 65.52 66.11 67.205 68.0824 68.701 68.167 68.298
## overall     68.00 68.00 68.00 68.00 68.00 68.000 68.0000 68.000 68.000 68.000
## CV residual -3.41 -2.97 -1.06  2.48  1.89  0.795 -0.0824 -0.701 -0.167 -0.298
##             4332   4364  4383   4385   4407   4464  4513  4531   4654   4744
## Predicted   69.6 66.404 64.18 66.400 67.546 66.465 65.86 68.46 67.829 66.154
## cvpred      69.6 66.429 64.19 66.352 67.556 66.546 65.91 68.56 67.823 66.143
## overall     68.0 67.000 67.00 67.000 67.000 67.000 67.00 67.00 67.000 67.000
## CV residual -1.6  0.571  2.81  0.648 -0.556  0.454  1.09 -1.56 -0.823  0.857
##               4749   4886  4939   4964  4975  5021   5053   5076  5102    5175
## Predicted   67.524 66.683 67.92 66.888 68.93 64.69 66.065 66.795 68.01 66.0215
## cvpred      67.444 66.726 67.83 66.932 69.06 64.79 65.829 66.688 68.02 65.9782
## overall     67.000 66.000 66.00 66.000 66.00 66.00 66.000 66.000 66.00 66.0000
## CV residual -0.444 -0.726 -1.83 -0.932 -3.06  1.21  0.171 -0.688 -2.02  0.0218
##                5200  5217  5245   5291  5293   5333   5412   5441  5457   5467
## Predicted   66.1122 64.38 63.91 65.471 63.57 65.918 64.804 65.188 66.09 64.965
## cvpred      66.0594 64.14 63.81 65.533 63.55 65.979 64.825 65.183 66.14 64.825
## overall     66.0000 66.00 66.00 66.000 66.00 65.000 65.000 65.000 65.00 65.000
## CV residual -0.0594  1.86  2.19  0.467  2.45 -0.979  0.175 -0.183 -1.14  0.175
##              5512  5540   5546   5549 5560   5567  5608  5611  5626  5628
## Predicted   60.81 66.43 64.584 65.046 67.6 65.613 65.30 66.36 67.15 67.21
## cvpred      60.82 66.39 64.549 64.804 67.6 65.639 65.34 66.41 67.17 67.23
## overall     65.00 65.00 65.000 65.000 65.0 65.000 65.00 65.00 65.00 65.00
## CV residual  4.18 -1.39  0.451  0.196 -2.6 -0.639 -0.34 -1.41 -2.17 -2.23
##               5668  5677   5696   5698   5709 5717   5789  5820   5843  5845
## Predicted   65.754 62.19 65.235 65.632 65.350 63.3 64.690 65.94 64.626 62.50
## cvpred      65.924 62.04 65.272 65.533 65.239 63.3 64.651 65.91 64.582 62.54
## overall     65.000 65.00 65.000 65.000 65.000 65.0 64.000 64.00 64.000 64.00
## CV residual -0.924  2.96 -0.272 -0.533 -0.239  1.7 -0.651 -1.91 -0.582  1.46
##              5938  5979   6103   6112   6206   6207  6250  6338 6385   6459
## Predicted   65.55 65.45 64.383 63.612 63.299 63.301 64.45 64.42 64.7 63.464
## cvpred      65.45 65.44 64.396 63.636 63.362 63.235 64.36 64.38 64.5 63.518
## overall     64.00 64.00 64.000 64.000 63.000 63.000 63.00 63.00 63.0 63.000
## CV residual -1.45 -1.44 -0.396  0.364 -0.362 -0.235 -1.36 -1.38 -1.5 -0.518
##               6481  6574  6584    6644   6659   6697    6737   6772   6880
## Predicted   62.349 63.63 63.76 62.0023 62.428 60.848 61.0623 61.733 60.751
## cvpred      62.405 63.66 63.78 62.0241 62.482 60.768 61.0798 61.641 60.838
## overall     62.000 62.00 62.00 62.0000 62.000 61.000 61.0000 61.000 60.000
## CV residual -0.405 -1.66 -1.78 -0.0241 -0.482  0.232 -0.0798 -0.641 -0.838
##              6891  6900  6906   6918 6931  6987  7015   7041  7110   7116  7235
## Predicted   62.24 61.25 61.31 60.345 62.5 57.47 61.95 58.480 60.73 58.448 55.32
## cvpred      62.17 61.17 61.37 60.272 62.5 57.46 61.99 58.563 60.64 58.446 55.24
## overall     60.00 60.00 60.00 60.000 60.0 59.00 59.00 59.000 58.00 58.000 54.00
## CV residual -2.17 -1.17 -1.37 -0.272 -2.5  1.54 -2.99  0.437 -2.64 -0.446 -1.24
## 
## Sum of squares = 619    Mean square = 2.53    n = 245 
## 
## fold 3 
## Observations in test set: 245 
##                  18    23    47      67    100   121    128   153   156    165
## Predicted   88.9402 87.88 85.30 85.9297 83.761 80.77 83.530 81.77 81.92 82.401
## cvpred      88.9358 87.87 85.29 85.9432 83.771 80.75 83.495 81.85 81.97 82.378
## overall     89.0000 89.00 87.00 86.0000 84.000 84.00 84.000 83.00 83.00 83.000
## CV residual  0.0642  1.13  1.71  0.0568  0.229  3.25  0.505  1.15  1.03  0.622
##               187   211   222    258   303   336    337     376    400   412
## Predicted   81.89 80.14 84.43 81.522 79.13 78.62 80.506 80.1048 80.475 78.68
## cvpred      81.91 80.11 84.44 81.591 79.09 78.63 80.535 80.0692 80.496 78.69
## overall     83.00 82.00 82.00 81.000 81.00 80.00 80.000 80.0000 80.000 80.00
## CV residual  1.09  1.89 -2.44 -0.591  1.91  1.37 -0.535 -0.0692 -0.496  1.31
##               450    455     461   485   505  515    523   532    548    565
## Predicted   80.59 78.690 78.9581 77.78 80.56 76.7 79.277 77.32 79.526 77.788
## cvpred      80.62 78.738 78.9594 77.81 80.54 76.7 79.287 77.39 79.548 77.861
## overall     79.00 79.000 79.0000 79.00 79.00 79.0 79.000 79.00 79.000 78.000
## CV residual -1.62  0.262  0.0406  1.19 -1.54  2.3 -0.287  1.61 -0.548  0.139
##                616    680   738    752   754   763   771   794    795   822
## Predicted   78.565 78.575 74.86 77.463 74.79 77.71 75.76 78.24 75.986 74.05
## cvpred      78.581 78.626 74.88 77.504 74.79 77.72 75.78 78.24 76.055 73.95
## overall     78.000 78.000 77.00 77.000 77.00 77.00 77.00 77.00 77.000 77.00
## CV residual -0.581 -0.626  2.12 -0.504  2.21 -0.72  1.22 -1.24  0.945  3.05
##               824    838 843   862    874    910    964  1037   1068   1085
## Predicted   75.57 76.714  79 75.68 76.112 76.224 76.677 73.38 75.149 74.083
## cvpred      75.56 76.717  79 75.72 76.169 76.281 76.606 73.49 75.156 74.113
## overall     77.00 77.000  77 77.00 76.000 76.000 76.000 76.00 76.000 75.000
## CV residual  1.44  0.283  -2  1.28 -0.169 -0.281 -0.606  2.51  0.844  0.887
##              1208   1218  1219   1246  1271   1298 1308  1332    1437 1452
## Predicted   73.22 75.137 72.41 75.600 72.65 74.394 76.3 73.72 73.9636 71.7
## cvpred      73.29 75.156 72.37 75.552 72.68 74.347 76.3 73.72 73.9752 71.7
## overall     75.00 75.000 75.00 75.000 75.00 75.000 75.0 75.00 74.0000 74.0
## CV residual  1.71 -0.156  2.63 -0.552  2.32  0.653 -1.3  1.28  0.0248  2.3
##              1480  1507  1516   1523   1528  1540   1580   1593   1658   1671
## Predicted   71.69 73.38 73.56 74.261 73.160 76.50 74.470 73.576 73.869 73.359
## cvpred      71.66 73.33 73.53 74.197 73.122 76.47 74.504 73.575 73.987 73.411
## overall     74.00 74.00 74.00 74.000 74.000 74.00 74.000 74.000 73.000 73.000
## CV residual  2.34  0.67  0.47 -0.197  0.878 -2.47 -0.504  0.425 -0.987 -0.411
##              1688  1692  1733  1828  1929  1935   1936   1955  1961  1968
## Predicted   74.05 71.88 70.99 70.08 74.29 72.77 72.506 73.771 70.22 70.35
## cvpred      74.06 71.97 71.11 69.98 74.25 72.73 72.562 73.731 70.27 70.34
## overall     73.00 73.00 73.00 73.00 73.00 73.00 73.000 73.000 73.00 73.00
## CV residual -1.06  1.03  1.89  3.02 -1.25  0.27  0.438 -0.731  2.73  2.66
##               1975  2020  2048  2075 2086   2108  2217 2220  2260   2269   2318
## Predicted   72.543 71.44 70.81 73.69 73.2 72.632 69.78 73.9 70.82 73.024 72.159
## cvpred      72.556 71.52 70.86 73.74 73.3 72.674 69.87 73.9 70.81 72.996 72.128
## overall     73.000 73.00 72.00 72.00 72.0 72.000 72.00 72.0 72.00 72.000 72.000
## CV residual  0.444  1.48  1.14 -1.74 -1.3 -0.674  2.13 -1.9  1.19 -0.996 -0.128
##              2319  2485   2525  2571    2585   2593  2618  2642  2650   2673
## Predicted   74.26 73.73 69.897 72.69 70.8813 71.648 69.75 69.56 69.31 71.623
## cvpred      74.23 73.76 70.047 72.71 70.9716 71.719 69.83 69.54 69.31 71.594
## overall     72.00 71.00 71.000 71.00 71.0000 71.000 71.00 71.00 71.00 71.000
## CV residual -2.23 -2.76  0.953 -1.71  0.0284 -0.719  1.17  1.46  1.69 -0.594
##              2696  2787   2798   2828  2845   2875  2887   2906   2925   2932
## Predicted   68.76 72.58 71.827 71.209 66.11 70.641 71.12 70.639 70.488 70.010
## cvpred      68.78 72.55 71.889 71.202 66.07 70.722 71.14 70.699 70.502 70.103
## overall     71.00 71.00 71.000 71.000 71.00 70.000 70.00 70.000 70.000 70.000
## CV residual  2.22 -1.55 -0.889 -0.202  4.93 -0.722 -1.14 -0.699 -0.502 -0.103
##              2945   2954  3027 3045  3071 3131  3135  3172  3186  3217   3226
## Predicted   71.35 69.531 71.74 71.3 69.14 71.6 71.08 71.06 70.09 71.83 69.099
## cvpred      71.37 69.607 71.78 71.3 69.09 71.6 71.08 71.06 70.12 71.79 69.121
## overall     70.00 70.000 70.00 70.0 70.00 70.0 70.00 70.00 70.00 70.00 70.000
## CV residual -1.37  0.393 -1.78 -1.3  0.91 -1.6 -1.08 -1.06 -0.12 -1.79  0.879
##               3296  3363   3377  3424  3461   3474   3476   3488  3541  3584
## Predicted   70.813 68.26 67.986 71.15 67.61 69.805 68.508 69.113 70.48 71.21
## cvpred      70.803 68.33 68.085 71.15 67.58 69.833 68.577 69.136 70.54 71.25
## overall     70.000 70.00 69.000 69.00 69.00 69.000 69.000 69.000 69.00 69.00
## CV residual -0.803  1.67  0.915 -2.15  1.42 -0.833  0.423 -0.136 -1.54 -2.25
##               3623   3638 3704  3719  3740  3758   3768  3795  3826  3856
## Predicted   69.145 68.238 70.2 70.54 73.70 71.80 68.070 70.30 66.81 69.10
## cvpred      69.252 68.253 70.2 70.52 73.74 71.76 68.078 70.26 66.87 69.22
## overall     69.000 69.000 69.0 69.00 69.00 69.00 69.000 69.00 69.00 68.00
## CV residual -0.252  0.747 -1.2 -1.52 -4.74 -2.76  0.922 -1.26  2.13 -1.22
##               3870  3884 3902  3914  3944 3965   3972  3985   4022   4054  4090
## Predicted   67.842 69.90 71.7 69.67 70.09 66.6 68.213 66.46 68.963 68.749 67.31
## cvpred      67.868 69.96 71.7 69.74 70.14 66.6 68.265 66.43 68.969 68.762 67.36
## overall     68.000 68.00 68.0 68.00 68.00 68.0 68.000 68.00 68.000 68.000 68.00
## CV residual  0.132 -1.96 -3.7 -1.74 -2.14  1.4 -0.265  1.57 -0.969 -0.762  0.64
##               4125 4237  4244   4336  4362  4389   4450  4451   4455  4461
## Predicted   67.763 66.6 69.46 68.741 69.36 68.79 66.343 69.25 66.570 68.02
## cvpred      67.752 66.6 69.49 68.747 69.38 68.86 66.323 69.29 66.596 68.11
## overall     68.000 68.0 68.00 68.000 67.00 67.00 67.000 67.00 67.000 67.00
## CV residual  0.248  1.4 -1.49 -0.747 -2.38 -1.86  0.677 -2.29  0.404 -1.11
##              4471   4483  4504  4558   4641   4669  4689 4719  4721   4730
## Predicted   68.97 66.544 64.81 64.91 67.286 66.871 68.25 70.7 68.28 66.086
## cvpred      69.02 66.593 64.85 64.95 67.259 66.787 68.25 70.7 68.27 66.121
## overall     67.00 67.000 67.00 67.00 67.000 67.000 67.00 67.0 67.00 67.000
## CV residual -2.02  0.407  2.15  2.05 -0.259  0.213 -1.25 -3.7 -1.27  0.879
##              4754   4763  4794   4799    4804  4828   4844  4849  4894  4931
## Predicted   70.20 66.469 68.68 67.922 66.9936 64.40 65.300 67.52 68.40 67.38
## cvpred      70.18 66.541 68.63 67.985 67.0663 64.47 65.349 67.54 68.43 67.42
## overall     67.00 67.000 67.00 67.000 67.0000 66.00 66.000 66.00 66.00 66.00
## CV residual -3.18  0.459 -1.63 -0.985 -0.0663  1.53  0.651 -1.54 -2.43 -1.42
##               4983   4993   5051 5096   5119  5126  5133  5158   5290   5296
## Predicted   65.003 65.742 66.055 67.5 66.776 64.12 68.81 68.48 66.713 66.445
## cvpred      65.081 65.825 66.105 67.5 66.805 64.17 68.79 68.48 66.756 66.507
## overall     66.000 66.000 66.000 66.0 66.000 66.00 66.00 66.00 66.000 66.000
## CV residual  0.919  0.175 -0.105 -1.5 -0.805  1.83 -2.79 -2.48 -0.756 -0.507
##              5375  5432   5478  5695   5721   5783  5884   5891   5924  6051
## Predicted   57.50 66.21 65.045 68.08 64.370 63.151 62.93 63.370 64.237 62.93
## cvpred      57.47 66.21 65.103 68.09 64.359 63.235 62.93 63.467 64.323 62.89
## overall     65.00 65.00 65.000 65.00 65.000 64.000 64.00 64.000 64.000 64.00
## CV residual  7.53 -1.21 -0.103 -3.09  0.641  0.765  1.07  0.533 -0.323  1.11
##               6070  6116  6170   6195 6204   6230   6282   6307  6310  6316
## Predicted   63.845 65.63 60.88 63.537 64.3 62.200 63.690 62.386 65.62 62.84
## cvpred      63.853 65.68 60.91 63.668 64.4 62.195 63.747 62.319 65.69 62.87
## overall     64.000 64.00 63.00 63.000 63.0 63.000 63.000 63.000 63.00 63.00
## CV residual  0.147 -1.68  2.09 -0.668 -1.4  0.805 -0.747  0.681 -2.69  0.13
##               6369 6380   6418 6457  6470  6568  6592  6648    6695   6709
## Predicted   62.642 60.9 63.520 64.8 63.40 63.18 64.41 63.27 62.0352 60.452
## cvpred      62.659 60.8 63.563 64.8 63.48 63.19 64.45 63.26 61.9839 60.507
## overall     63.000 63.0 63.000 63.0 62.00 62.00 62.00 62.00 62.0000 61.000
## CV residual  0.341  2.2 -0.563 -1.8 -1.48 -1.19 -2.45 -1.26  0.0161  0.493
##               6717   6733   6754  6779  6780   6813    6860   6862  6875   6886
## Predicted   61.808 60.695 61.878 62.79 62.76 60.401 59.9388 60.355 58.46 59.446
## cvpred      61.948 60.776 61.963 62.83 62.78 60.453 60.0311 60.456 58.45 59.496
## overall     61.000 61.000 61.000 61.00 61.00 61.000 60.0000 60.000 60.00 60.000
## CV residual -0.948  0.224 -0.963 -1.83 -1.78  0.547 -0.0311 -0.456  1.55  0.504
##             6893  6902   6935  6948  6984   7096   7100   7113   7114  7175
## Predicted   61.7 61.37 60.123 58.78 62.47 58.702 58.540 57.304 58.870 58.03
## cvpred      61.8 61.46 60.157 58.84 62.58 58.756 58.574 57.392 58.922 58.06
## overall     60.0 60.00 60.000 60.00 59.00 58.000 58.000 58.000 58.000 57.00
## CV residual -1.8 -1.46 -0.157  1.16 -3.58 -0.756 -0.574  0.608 -0.922 -1.06
##              7215  7234
## Predicted   56.92 55.52
## cvpred      56.99 55.58
## overall     55.00 54.00
## CV residual -1.99 -1.58
## 
## Sum of squares = 603    Mean square = 2.46    n = 245 
## 
## fold 4 
## Observations in test set: 245 
##                 2    13     20    40    42    82     92   129   157   172   198
## Predicted   91.66 88.55 88.693 86.21 83.65 80.97 84.170 85.08 81.01 80.57 80.49
## cvpred      91.47 88.35 88.566 86.13 83.67 80.77 84.139 85.01 80.94 80.56 80.45
## overall     93.00 89.00 89.000 88.00 87.00 85.00 85.000 84.00 83.00 83.00 82.00
## CV residual  1.53  0.65  0.434  1.87  3.33  4.23  0.861 -1.01  2.06  2.44  1.55
##               218    220   244   252   253   272    293   320   364   374   527
## Predicted   78.76 81.246 79.62 79.26 80.54 79.69 81.626 81.29 78.82 81.16 80.86
## cvpred      78.82 81.125 79.65 79.15 80.52 79.65 81.588 81.15 78.72 81.07 80.76
## overall     82.00 82.000 82.00 82.00 82.00 81.00 81.000 80.00 80.00 80.00 79.00
## CV residual  3.18  0.875  2.35  2.85  1.48  1.35 -0.588 -1.15  1.28 -1.07 -1.76
##                539    587   590   601   625    648   671    686   711    725
## Predicted   79.224 78.415 75.89 80.07 76.25 77.578 75.80 77.482 75.74 76.359
## cvpred      79.141 78.401 75.85 80.03 76.29 77.625 75.75 77.483 75.78 76.356
## overall     79.000 78.000 78.00 78.00 78.00 78.000 78.00 78.000 78.00 77.000
## CV residual -0.141 -0.401  2.15 -2.03  1.71  0.375  2.25  0.517  2.22  0.644
##              775   783   786    831    833   834   840   844   868  869    870
## Predicted   75.7 77.92 75.38 76.007 76.812 79.46 78.65 74.57 73.31 77.6 75.511
## cvpred      75.6 77.87 75.32 76.034 76.758 79.46 78.66 74.55 73.25 77.6 75.465
## overall     77.0 77.00 77.00 77.000 77.000 77.00 77.00 77.00 76.00 76.0 76.000
## CV residual  1.4 -0.87  1.68  0.966  0.242 -2.46 -1.66  2.45  2.75 -1.6  0.535
##               897    948    953    982  1006  1026   1034   1090  1113  1119
## Predicted   77.18 76.388 76.509 75.509 74.38 79.32 76.704 74.722 77.70 76.99
## cvpred      77.11 76.352 76.457 75.447 74.46 79.22 76.641 74.728 77.74 76.92
## overall     76.00 76.000 76.000 76.000 76.00 76.00 76.000 75.000 75.00 75.00
## CV residual -1.11 -0.352 -0.457  0.553  1.54 -3.22 -0.641  0.272 -2.74 -1.92
##              1142  1157  1159  1187  1360   1365   1398  1413   1465  1472
## Predicted   76.09 73.18 73.37 73.29 73.95 74.252 73.103 76.91 73.979 73.58
## cvpred      76.08 73.17 73.41 73.36 73.95 74.138 73.106 76.83 73.914 73.56
## overall     75.00 75.00 75.00 75.00 75.00 74.000 74.000 74.00 74.000 74.00
## CV residual -1.08  1.83  1.59  1.64  1.05 -0.138  0.894 -2.83  0.086  0.44
##               1497  1518  1552  1599   1617  1619   1648    1653  1676   1783
## Predicted   74.109 76.01 75.41 72.44 74.572 75.76 74.725 73.9413 72.50 72.403
## cvpred      74.141 76.02 75.44 72.41 74.579 75.67 74.777 73.9242 72.52 72.353
## overall     74.000 74.00 74.00 74.00 74.000 74.00 74.000 74.0000 73.00 73.000
## CV residual -0.141 -2.02 -1.44  1.59 -0.579 -1.67 -0.777  0.0758  0.48  0.647
##              1808   1830   1863  1901  1906  1944   2058   2060  2081   2121
## Predicted   71.17 72.155 73.189 74.36 73.97 71.10 72.419 71.679 70.18 72.301
## cvpred      71.25 72.192 73.143 74.37 73.94 71.16 72.435 71.707 70.19 72.334
## overall     73.00 73.000 73.000 73.00 73.00 73.00 72.000 72.000 72.00 72.000
## CV residual  1.75  0.808 -0.143 -1.37 -0.94  1.84 -0.435  0.293  1.81 -0.334
##             2146  2156  2178   2218  2226   2281  2292   2346  2367  2369
## Predicted   69.3 70.20 73.47 71.593 73.53 71.263 70.56 72.289 70.64 72.15
## cvpred      69.4 70.27 73.49 71.546 73.51 71.351 70.62 72.367 70.73 72.22
## overall     72.0 72.00 72.00 72.000 72.00 72.000 72.00 72.000 72.00 72.00
## CV residual  2.6  1.73 -1.49  0.454 -1.51  0.649  1.38 -0.367  1.27 -0.22
##               2385   2414  2486  2496   2555 2574   2609  2620  2631  2639 2660
## Predicted   71.077 71.179 72.22 67.70 70.203 72.4 70.555 73.10 67.04 69.26 72.4
## cvpred      71.065 71.218 72.29 67.75 70.259 72.4 70.582 73.08 67.13 69.29 72.4
## overall     72.000 72.000 71.00 71.00 71.000 71.0 71.000 71.00 71.00 71.00 71.0
## CV residual  0.935  0.782 -1.29  3.25  0.741 -1.4  0.418 -2.08  3.87  1.71 -1.4
##             2691  2736   2737   2774  2827    2842   2892  2994   3116 3122
## Predicted   72.4 67.68 71.523 70.413 72.01 70.9410 69.755 68.94 70.780 74.5
## cvpred      72.5 67.69 71.504 70.476 72.03 70.9683 69.763 68.94 70.884 74.7
## overall     71.0 71.00 71.000 71.000 71.00 71.0000 70.000 70.00 70.000 70.0
## CV residual -1.5  3.31 -0.504  0.524 -1.03  0.0317  0.237  1.06 -0.884 -4.7
##              3144   3210  3221  3326 3347   3375   3379  3393  3444  3447  3455
## Predicted   70.49 69.670 71.11 67.94 66.9 69.363 68.738 70.73 70.81 66.89 70.06
## cvpred      70.57 69.617 71.16 67.97 67.0 69.336 68.739 70.76 70.78 66.83 70.09
## overall     70.00 70.000 70.00 70.00 70.0 69.000 69.000 69.00 69.00 69.00 69.00
## CV residual -0.57  0.383 -1.16  2.03  3.0 -0.336  0.261 -1.76 -1.78  2.17 -1.09
##              3456   3481  3490  3521  3562   3598  3626  3633   3635  3671
## Predicted   67.66 69.681 72.04 67.48 68.05 69.683 66.91 66.61 69.860 71.21
## cvpred      67.57 69.672 72.01 67.53 68.08 69.741 66.96 66.64 69.917 71.18
## overall     69.00 69.000 69.00 69.00 69.00 69.000 69.00 69.00 69.000 69.00
## CV residual  1.43 -0.672 -3.01  1.47  0.92 -0.741  2.04  2.36 -0.917 -2.18
##              3681  3682   3708   3748  3752   3809  3892   3971  4053    4058
## Predicted   69.98 67.74 68.275 69.226 67.81 68.893 69.18 68.237 65.88 67.8492
## cvpred      69.96 67.72 68.304 69.307 67.77 68.922 69.19 68.282 65.91 67.9437
## overall     69.00 69.00 69.000 69.000 69.00 69.000 68.00 68.000 68.00 68.0000
## CV residual -0.96  1.28  0.696 -0.307  1.23  0.078 -1.19 -0.282  2.09  0.0563
##              4083  4101   4109   4226 4246   4253  4256  4297  4331 4516   4561
## Predicted   69.98 66.11 67.187 68.359 70.2 68.496 62.98 69.05 70.20   69 67.019
## cvpred      69.96 66.19 67.234 68.409 70.3 68.512 62.95 69.12 70.18   69 67.135
## overall     68.00 68.00 68.000 68.000 68.0 68.000 68.00 68.00 68.00   67 67.000
## CV residual -1.96  1.81  0.766 -0.409 -2.3 -0.512  5.05 -1.12 -2.18   -2 -0.135
##              4576  4584   4593   4594   4608   4628  4635  4722  4733  4735
## Predicted   68.81 65.43 67.445 66.556 67.628 67.561 70.69 68.44 64.24 68.99
## cvpred      68.79 65.45 67.501 66.633 67.679 67.635 70.79 68.43 64.23 68.99
## overall     67.00 67.00 67.000 67.000 67.000 67.000 67.00 67.00 67.00 67.00
## CV residual -1.79  1.55 -0.501  0.367 -0.679 -0.635 -3.79 -1.43  2.77 -1.99
##               4757 4774    4786   4814  4843   4846   4852   5035  5066  5099
## Predicted   66.760 65.3 67.0343 67.160 68.75 65.496 65.775 66.820 67.64 68.84
## cvpred      66.824 65.4 67.0847 67.233 68.81 65.554 65.771 66.862 67.76 68.85
## overall     67.000 67.0 67.0000 67.000 66.00 66.000 66.000 66.000 66.00 66.00
## CV residual  0.176  1.6 -0.0847 -0.233 -2.81  0.446  0.229 -0.862 -1.76 -2.85
##              5166  5276   5279   5310  5327  5348   5414  5453   5455   5472
## Predicted   67.28 64.86 65.773 66.472 66.88 66.62 65.682 67.50 65.751 64.250
## cvpred      67.36 64.91 65.839 66.459 66.91 66.65 65.755 67.47 65.832 64.446
## overall     66.00 66.00 66.000 66.000 65.00 65.00 65.000 65.00 65.000 65.000
## CV residual -1.36  1.09  0.161 -0.459 -1.91 -1.65 -0.755 -2.47 -0.832  0.554
##              5477   5484   5506   5539  5615   5629  5648  5723   5749  5785
## Predicted   67.05 65.239 64.043 64.610 66.51 65.292 63.27 63.39 64.414 62.79
## cvpred      67.09 65.288 64.125 64.649 66.67 65.411 63.41 63.52 64.539 62.86
## overall     65.00 65.000 65.000 65.000 65.00 65.000 65.00 65.00 65.000 64.00
## CV residual -2.09 -0.288  0.875  0.351 -1.67 -0.411  1.59  1.48  0.461  1.14
##               5795   5817  5873   5916  5917  5931  5993  5997   5999   6017
## Predicted   64.766 63.499 60.40 64.220 62.08 65.18 65.82 66.15 64.738 64.281
## cvpred      64.774 63.571 60.58 64.293 62.16 65.23 65.86 66.18 64.777 64.409
## overall     64.000 64.000 64.00 64.000 64.00 64.00 64.00 64.00 64.000 64.000
## CV residual -0.774  0.429  3.42 -0.293  1.84 -1.23 -1.86 -2.18 -0.777 -0.409
##               6064  6079  6106  6110  6127 6131   6164  6167   6193 6214  6235
## Predicted   64.625 67.43 67.08 65.03 65.32 63.8 63.551 63.98 63.609 64.8 65.27
## cvpred      64.643 67.57 67.18 65.09 65.35 63.8 63.752 64.13 63.669 64.9 65.47
## overall     64.000 64.00 64.00 64.00 64.00 64.0 64.000 63.00 63.000 63.0 63.00
## CV residual -0.643 -3.57 -3.18 -1.09 -1.35  0.2  0.248 -1.13 -0.669 -1.9 -2.47
##              6306  6362  6395  6405  6406  6472   6505   6551  6556  6613
## Predicted   66.39 64.78 64.62 63.85 64.96 63.85 61.496 61.980 60.96 64.46
## cvpred      66.57 64.82 64.72 63.93 65.07 64.01 61.577 62.072 61.04 64.59
## overall     63.00 63.00 63.00 63.00 63.00 62.00 62.000 62.000 62.00 62.00
## CV residual -3.57 -1.82 -1.72 -0.93 -2.07 -2.01  0.423 -0.072  0.96 -2.59
##               6692  6773  6790  6896   6921  6929  6989  6991    6993  7026
## Predicted   62.260 62.12 59.22 63.25 59.686 58.42 61.22 60.85 58.9924 59.95
## cvpred      62.379 62.19 59.47 63.31 59.762 58.57 61.29 61.01 59.0117 60.09
## overall     62.000 61.00 61.00 60.00 60.000 60.00 59.00 59.00 59.0000 59.00
## CV residual -0.379 -1.19  1.53 -3.31  0.238  1.43 -2.29 -2.01 -0.0117 -1.09
##                7030   7055  7136  7209  7225  7251  7253   7255
## Predicted   58.8563 59.276 63.54 59.78 56.62 52.99 52.17 50.706
## cvpred      58.9364 59.415 63.65 60.02 56.69 53.18 52.38 50.851
## overall     59.0000 59.000 58.00 56.00 55.00 52.00 51.00 50.000
## CV residual  0.0636 -0.415 -5.65 -4.02 -1.69 -1.18 -1.38 -0.851
## 
## Sum of squares = 701    Mean square = 2.86    n = 245 
## 
## fold 5 
## Observations in test set: 244 
##                 5    24    62   96   101    136      137   170    174   207
## Predicted   88.00 85.79 83.27 81.8 81.18 83.835 83.08286 84.68 83.426 79.87
## cvpred      88.09 85.78 83.28 81.8 81.24 83.822 82.99646 84.65 83.442 79.88
## overall     91.00 88.00 86.00 84.0 84.00 83.000 83.00000 83.00 83.000 82.00
## CV residual  2.91  2.22  2.72  2.2  2.76 -0.822  0.00354 -1.65 -0.442  2.12
##               231    238  245    250   290    304    310   353   380  381   426
## Predicted   79.77 82.830 77.5 82.092 77.57 80.190 81.672 81.26 80.13 77.9 76.65
## cvpred      79.77 82.864 77.4 82.137 77.41 80.193 81.703 81.23 80.12 77.7 76.63
## overall     82.00 82.000 82.0 82.000 81.00 81.000 81.000 80.00 80.00 80.0 80.00
## CV residual  2.23 -0.864  4.6 -0.137  3.59  0.807 -0.703 -1.23 -0.12  2.3  3.37
##                437    445  459   489   491   492   493   508  514    520    524
## Predicted   78.620 78.170 76.3 77.85 77.69 80.78 77.63 77.71 80.0 78.336 78.416
## cvpred      78.569 78.012 76.2 77.79 77.73 80.75 77.63 77.72 80.1 78.344 78.317
## overall     79.000 79.000 79.0 79.00 79.00 79.00 79.00 79.00 79.0 79.000 79.000
## CV residual  0.431  0.988  2.8  1.21  1.27 -1.75  1.37  1.28 -1.1  0.656  0.683
##               656   692   693     699   705   757    805   820    835   853
## Predicted   74.91 77.45 74.31 77.9623 79.07 74.78 76.803 78.26 77.209 75.89
## cvpred      74.77 77.47 74.23 77.9095 79.04 74.73 76.659 78.32 77.151 75.81
## overall     78.00 78.00 78.00 78.0000 78.00 77.00 77.000 77.00 77.000 77.00
## CV residual  3.23  0.53  3.77  0.0905 -1.04  2.27  0.341 -1.32 -0.151  1.19
##                939   961   1018  1029   1035   1071  1078   1096   1164  1256
## Predicted   75.853 73.78 75.712 77.61 76.392 76.336 71.10 74.340 74.819 76.40
## cvpred      75.819 73.74 75.736 77.57 76.296 76.394 71.04 74.289 74.596 76.36
## overall     76.000 76.00 76.000 76.00 76.000 76.000 75.00 75.000 75.000 75.00
## CV residual  0.181  2.26  0.264 -1.57 -0.296 -0.394  3.96  0.711  0.404 -1.36
##             1294   1358   1399 1401   1444  1486  1514   1530  1565   1587
## Predicted   76.9 75.859 73.078 71.8 74.379 76.52 72.94 74.429 76.42 74.503
## cvpred      76.8 75.784 73.048 71.7 74.394 76.56 72.81 74.352 76.47 74.502
## overall     75.0 75.000 74.000 74.0 74.000 74.00 74.00 74.000 74.00 74.000
## CV residual -1.8 -0.784  0.952  2.3 -0.394 -2.56  1.19 -0.352 -2.47 -0.502
##               1645   1668  1684   1705  1725   1735 1746   1760   1766  1781
## Predicted   73.924 73.954 73.23 73.189 71.23 72.361 74.3 72.760 72.705 71.32
## cvpred      73.785 73.871 73.22 73.109 71.13 72.281 74.2 72.771 72.717 71.25
## overall     74.000 73.000 73.00 73.000 73.00 73.000 73.0 73.000 73.000 73.00
## CV residual  0.215 -0.871 -0.22 -0.109  1.87  0.719 -1.2  0.229  0.283  1.75
##               1826   1854  1874    1921   1927  1941   1950 1967   1969  2027
## Predicted   73.819 72.401 71.99 73.0445 72.379 73.14 72.648 71.8 73.584 70.52
## cvpred      73.847 72.374 71.84 73.0845 72.423 73.11 72.628 71.8 73.525 70.39
## overall     73.000 73.000 73.00 73.0000 73.000 73.00 73.000 73.0 73.000 72.00
## CV residual -0.847  0.626  1.16 -0.0845  0.577 -0.11  0.372  1.2 -0.525  1.61
##               2032   2103  2105   2107 2127  2128  2149   2154    2155   2160
## Predicted   72.264 72.891 74.72 71.505   73 69.84 69.94 72.457 71.9748 71.494
## cvpred      72.256 72.842 74.73 71.522   73 69.69 69.82 72.432 71.9023 71.381
## overall     72.000 72.000 72.00 72.000   72 72.00 72.00 72.000 72.0000 72.000
## CV residual -0.256 -0.842 -2.73  0.478   -1  2.31  2.18 -0.432  0.0977  0.619
##               2180   2195   2209  2219  2261   2268  2297  2299  2300   2348
## Predicted   72.971 71.429 71.636 73.34 70.85 73.107 70.19 73.02 70.10 72.605
## cvpred      72.932 71.352 71.701 73.35 70.98 72.921 70.02 73.07 70.04 72.573
## overall     72.000 72.000 72.000 72.00 72.00 72.000 72.00 72.00 72.00 72.000
## CV residual -0.932  0.648  0.299 -1.35  1.02 -0.921  1.98 -1.07  1.96 -0.573
##              2371   2372  2380   2415  2428  2452  2475   2517   2637  2641
## Predicted   73.23 71.849 70.94 71.474 68.57 69.16 72.19 70.078 70.645 72.22
## cvpred      73.24 71.936 70.91 71.518 68.63 69.12 72.06 70.172 70.461 72.19
## overall     72.00 72.000 72.00 72.000 72.00 71.00 71.00 71.000 71.000 71.00
## CV residual -1.24  0.064  1.09  0.482  3.37  1.88 -1.06  0.828  0.539 -1.19
##              2708  2713   2714 2742 2778   2789 2794  2848  2877   2891   2904
## Predicted   73.97 72.83 70.583 72.7 68.2 70.690 73.6 70.55 71.53 69.849 70.432
## cvpred      74.03 72.88 70.608 72.6 68.2 70.678 73.7 70.73 71.42 69.739 70.428
## overall     71.00 71.00 71.000 71.0 71.0 71.000 71.0 71.00 70.00 70.000 70.000
## CV residual -3.03 -1.88  0.392 -1.6  2.8  0.322 -2.7  0.27 -1.42  0.261 -0.428
##              2935  2943   3074  3081  3100  3118   3187  3197  3201   3231
## Predicted   69.02 71.13 70.822 71.11 66.93 68.57 69.897 71.05 71.84 69.207
## cvpred      69.01 71.12 70.839 71.06 66.98 68.47 69.783 71.12 71.89 69.145
## overall     70.00 70.00 70.000 70.00 70.00 70.00 70.000 70.00 70.00 70.000
## CV residual  0.99 -1.12 -0.839 -1.06  3.02  1.53  0.217 -1.12 -1.89  0.855
##               3236   3270  3311  3312  3320  3402   3407   3511  3519   3525
## Predicted   70.620 69.855 71.78 66.98 72.15 67.06 69.689 69.797 67.90 69.619
## cvpred      70.596 69.876 71.73 67.15 72.23 66.89 69.679 69.671 67.92 69.657
## overall     70.000 70.000 70.00 70.00 70.00 69.00 69.000 69.000 69.00 69.000
## CV residual -0.596  0.124 -1.73  2.85 -2.23  2.11 -0.679 -0.671  1.08 -0.657
##              3591   3604   3627   3630  3640  3660   3663    3694  3710   3730
## Predicted   68.01 68.444 68.866 68.399 70.26 71.10 69.536 69.0148 70.41 68.825
## cvpred      67.76 68.414 68.775 68.379 70.33 71.09 69.518 68.9043 70.29 68.825
## overall     69.00 69.000 69.000 69.000 69.00 69.00 69.000 69.0000 69.00 69.000
## CV residual  1.24  0.586  0.225  0.621 -1.33 -2.09 -0.518  0.0957 -1.29  0.175
##               3780   3789  3791   3815  3832  3843   3883  4001   4019    4041
## Predicted   68.564 68.888 69.16 68.451 72.35 66.78 68.579 70.25 67.816 68.1405
## cvpred      68.741 68.879 69.26 68.514 72.33 66.71 68.358 70.25 67.777 68.0806
## overall     69.000 69.000 69.00 69.000 69.00 68.00 68.000 68.00 68.000 68.0000
## CV residual  0.259  0.121 -0.26  0.486 -3.33  1.29 -0.358 -2.25  0.223 -0.0806
##             4203   4220   4232 4255   4266   4274  4322  4344 4401 4421   4433
## Predicted   66.7 68.409 67.605 68.2 68.077 68.262 70.04 66.45 68.4 65.1 67.730
## cvpred      66.6 68.353 67.587 68.2 68.166 68.213 70.01 66.38 68.3 65.0 67.763
## overall     68.0 68.000 68.000 68.0 68.000 68.000 68.00 68.00 67.0 67.0 67.000
## CV residual  1.4 -0.353  0.413 -0.2 -0.166 -0.213 -2.01  1.62 -1.3  2.0 -0.763
##              4439  4474  4592  4620  4624   4681   4697 4783  4847  4878   4936
## Predicted   67.44 68.41 68.59 69.66 68.14 67.377 67.914 67.7 67.36 67.28 66.772
## cvpred      67.38 68.44 68.57 69.59 68.22 67.445 67.812 67.8 67.31 67.28 66.779
## overall     67.00 67.00 67.00 67.00 67.00 67.000 67.000 67.0 66.00 66.00 66.000
## CV residual -0.38 -1.44 -1.57 -2.59 -1.22 -0.445 -0.812 -0.8 -1.31 -1.28 -0.779
##               4967   4982   5107  5182    5198   5371   5374  5392   5424  5463
## Predicted   66.614 65.813 65.125 66.46 66.0685 66.104 64.416 66.61 65.298 68.32
## cvpred      66.632 65.793 65.092 66.57 66.0463 65.984 64.279 66.53 65.214 68.35
## overall     66.000 66.000 66.000 66.00 66.0000 65.000 65.000 65.00 65.000 65.00
## CV residual -0.632  0.207  0.908 -0.57 -0.0463 -0.984  0.721 -1.53 -0.214 -3.35
##              5501  5528  5541  5573   5591  5597   5610  5613   5619   5655
## Predicted   62.72 62.35 60.76 68.94 64.882 67.41 66.027 61.96 65.582 65.230
## cvpred      62.53 62.47 60.73 68.87 64.897 67.45 65.908 61.78 65.645 65.361
## overall     65.00 65.00 65.00 65.00 65.000 65.00 65.000 65.00 65.000 65.000
## CV residual  2.47  2.53  4.27 -3.87  0.103 -2.45 -0.908  3.22 -0.645 -0.361
##               5669   5700 5708   5780  5788  5800   5807  5824   5858  5903
## Predicted   64.086 64.807 65.6 65.330 63.09 65.06 63.659 65.31 63.937 65.15
## cvpred      64.107 64.837 65.6 65.302 62.83 65.04 63.665 65.37 63.845 65.11
## overall     65.000 65.000 65.0 65.000 64.00 64.00 64.000 64.00 64.000 64.00
## CV residual  0.893  0.163 -0.6 -0.302  1.17 -1.04  0.335 -1.37  0.155 -1.11
##               5962   5969   5994  6023   6095  6098    6144  6221   6223  6281
## Predicted   64.350 64.279 63.199 62.15 63.927 66.50 63.9841 66.69 62.920 64.54
## cvpred      64.375 64.345 63.277 62.16 63.746 66.52 63.9133 66.64 62.826 64.43
## overall     64.000 64.000 64.000 64.00 64.000 64.00 64.0000 63.00 63.000 63.00
## CV residual -0.375 -0.345  0.723  1.84  0.254 -2.52  0.0867 -3.64  0.174 -1.43
##              6299   6321  6497  6512  6572   6626   6635   6658   6707  6710
## Predicted   64.81 62.551 61.43 60.07 63.80 62.811 62.064 62.432 61.980 59.13
## cvpred      64.88 62.542 61.41 59.92 63.74 62.788 62.137 62.508 61.973 59.18
## overall     63.00 63.000 62.00 62.00 62.00 62.000 62.000 62.000 61.000 61.00
## CV residual -1.88  0.458  0.59  2.08 -1.74 -0.788 -0.137 -0.508 -0.973  1.82
##              6787   6943  7016   7048  7053   7117   7118  7160   7223
## Predicted   60.06 59.891 57.30 58.532 57.90 57.734 58.539 56.06 54.837
## cvpred      59.93 59.767 57.09 58.597 57.84 57.636 58.656 55.92 54.692
## overall     61.00 60.000 59.00 59.000 59.00 58.000 58.000 57.00 55.000
## CV residual  1.07  0.233  1.91  0.403  1.16  0.364 -0.656  1.08  0.308
## 
## Sum of squares = 557    Mean square = 2.28    n = 244 
## 
## Overall (Sum over all 244 folds) 
##   ms 
## 2.63
sum((fifa_forward$overall-KCV_forward$cvpred)^2)
## [1] 3220
1-sum((fifa_forward$overall-KCV_forward$cvpred)^2)/sum((fifa_forward$overall-mean(fifa_forward$overall))^2)
## [1] 0.935
# for the midfielder player model, we will perform a 5 fold cross validation
n = dim(fifa_midfielder)[1]
library(DAAG)
KCV_midfielder = cv.lm(data=fifa_midfielder, model_midfielder, m=5, seed=123)
## Analysis of Variance Table
## 
## Response: overall
##               Df Sum Sq Mean Sq F value Pr(>F)    
## age            1   5832    5832  1030.6 <2e-16 ***
## weight_kg      1    240     240    42.4  9e-11 ***
## pace           1   4108    4108   725.9 <2e-16 ***
## passing        1  61338   61338 10839.0 <2e-16 ***
## dribbling      1   4559    4559   805.6 <2e-16 ***
## defending      1   3506    3506   619.6 <2e-16 ***
## physic         1   1589    1589   280.8 <2e-16 ***
## skill_moves    1      1       1     0.2   0.65    
## Residuals   2710  15336       6                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in cv.lm(data = fifa_midfielder, model_midfielder, m = 5, seed = 123): 
## 
##  As there is >1 explanatory variable, cross-validation
##  predicted values for a fold are not a linear function
##  of corresponding overall predicted values.  Lines that
##  are shown for the different folds are approximate

## 
## fold 1 
## Observations in test set: 543 
##                22    39    43   52    73     78    93     94   111   130   208
## Predicted   81.89 78.03 78.64 84.9 81.71 84.347 84.07 84.031 81.43 79.21 79.21
## cvpred      82.04 78.05 78.74 85.0 81.85 84.424 84.22 84.076 81.63 79.29 79.21
## overall     89.00 88.00 87.00 87.0 85.00 85.000 85.00 85.000 84.00 84.00 82.00
## CV residual  6.96  9.95  8.26  2.0  3.15  0.576  0.78  0.924  2.37  4.71  2.79
##                228  251   257    264   266   270   279  330   369    373   393
## Predicted   81.369 79.5 78.37 81.484 78.72 79.48 78.74 77.6 77.48 79.433 76.19
## cvpred      81.492 79.6 78.57 81.574 78.74 79.61 78.93 77.8 77.48 79.539 76.33
## overall     82.000 82.0 82.00 81.000 81.00 81.00 81.00 80.0 80.00 80.000 80.00
## CV residual  0.508  2.4  3.43 -0.574  2.26  1.39  2.07  2.2  2.52  0.461  3.67
##               395   404    442    494   535   543   546    551   558   559
## Predicted   77.05 77.67 79.068 78.619 75.47 78.04 76.85 77.310 75.75 74.70
## cvpred      77.09 77.71 79.122 78.766 75.57 78.02 76.96 77.444 75.82 74.92
## overall     80.00 80.00 79.000 79.000 79.00 79.00 79.00 78.000 78.00 78.00
## CV residual  2.91  2.29 -0.122  0.234  3.43  0.98  2.04  0.556  2.18  3.08
##                563    579   582   620    624    642   646   668     672   710
## Predicted   77.779 77.048 79.29 76.32 77.551 78.219 79.54 74.19 78.0475 75.75
## cvpred      77.871 77.145 79.32 76.28 77.633 78.363 79.54 74.26 78.0254 75.82
## overall     78.000 78.000 78.00 78.00 78.000 78.000 78.00 78.00 78.0000 78.00
## CV residual  0.129  0.855 -1.32  1.72  0.367 -0.363 -1.54  3.74 -0.0254  2.18
##               717   719   720    740    793   811    814     830    865   867
## Predicted   75.37 75.19 73.91 76.046 76.238 80.35 77.703 76.9764 75.226 74.91
## cvpred      75.37 75.24 74.03 76.078 76.299 80.51 77.808 77.0246 75.273 74.97
## overall     77.00 77.00 77.00 77.000 77.000 77.00 77.000 77.0000 76.000 76.00
## CV residual  1.63  1.76  2.97  0.922  0.701 -3.51 -0.808 -0.0246  0.727  1.03
##                871   872    901   908   918    943    962   978    986   1000
## Predicted   75.444 73.54 76.106 74.33 72.82 76.295 75.729 73.78 75.194 75.238
## cvpred      75.443 73.62 76.168 74.37 72.82 76.368 75.803 73.84 75.168 75.267
## overall     76.000 76.00 76.000 76.00 76.00 76.000 76.000 76.00 76.000 76.000
## CV residual  0.557  2.38 -0.168  1.63  3.18 -0.368  0.197  2.16  0.832  0.733
##              1003    1045  1051  1077 1109   1126  1127  1143   1145   1154
## Predicted   77.29 75.8796 74.91 72.34 68.4 75.781 73.10 77.51 74.794 75.859
## cvpred      77.37 75.9627 74.89 72.47 68.4 75.808 73.12 77.67 74.772 75.927
## overall     76.00 76.0000 76.00 75.00 75.0 75.000 75.00 75.00 75.000 75.000
## CV residual -1.37  0.0373  1.11  2.53  6.6 -0.808  1.88 -2.67  0.228 -0.927
##              1166  1173   1200    1202  1212  1217  1240  1244   1247  1263
## Predicted   72.13 68.42 74.352 75.0687 72.94 72.49 72.96 76.13 75.876 76.04
## cvpred      72.09 68.32 74.513 75.0972 73.01 72.58 72.98 76.25 75.918 76.16
## overall     75.00 75.00 75.000 75.0000 75.00 75.00 75.00 75.00 75.000 75.00
## CV residual  2.91  6.68  0.487 -0.0972  1.99  2.42  2.02 -1.25 -0.918 -1.16
##               1301   1304  1312 1313  1333  1337 1348  1356  1369   1377  1387
## Predicted   75.229 75.334 73.69 74.3 72.28 70.76 73.1 72.76 75.04 73.699 72.71
## cvpred      75.324 75.327 73.74 74.3 72.28 70.69 73.1 72.75 75.17 73.694 72.85
## overall     75.000 75.000 75.00 75.0 75.00 75.00 75.0 75.00 74.00 74.000 74.00
## CV residual -0.324 -0.327  1.26  0.7  2.72  4.31  1.9  2.25 -1.17  0.306  1.15
##              1389  1427   1457  1491   1499  1500   1527  1529  1535  1544
## Predicted   75.32 71.56 73.387 75.12 73.240 72.84 74.366 76.37 72.80 70.54
## cvpred      75.46 71.58 73.429 75.08 73.379 72.85 74.429 76.44 72.93 70.53
## overall     74.00 74.00 74.000 74.00 74.000 74.00 74.000 74.00 74.00 74.00
## CV residual -1.46  2.42  0.571 -1.08  0.621  1.15 -0.429 -2.44  1.07  3.47
##              1550  1566   1573   1574   1588  1602  1628    1630  1631     1675
## Predicted   68.13 72.89 73.671 74.107 74.230 71.40 71.21 73.8611 71.02 72.90530
## cvpred      68.15 72.89 73.652 74.148 74.374 71.32 71.21 73.9839 70.99 72.99894
## overall     74.00 74.00 74.000 74.000 74.000 74.00 74.00 74.0000 74.00 73.00000
## CV residual  5.85  1.11  0.348 -0.148 -0.374  2.68  2.79  0.0161  3.01  0.00106
##             1694   1695  1696  1745   1754   1771   1776  1778  1782  1792
## Predicted   70.7 73.467 74.48 71.82 72.295 72.155 71.955 75.26 74.22 76.12
## cvpred      70.8 73.426 74.49 71.86 72.284 72.287 72.011 75.34 74.25 76.18
## overall     73.0 73.000 73.00 73.00 73.000 73.000 73.000 73.00 73.00 73.00
## CV residual  2.2 -0.426 -1.49  1.14  0.716  0.713  0.989 -2.34 -1.25 -3.18
##               1807   1816   1827   1832  1882  1885  1894  1919  1930   1970
## Predicted   72.332 71.980 73.807 73.192 75.25 72.03 74.81 74.92 70.00 73.708
## cvpred      72.368 72.066 73.866 73.223 75.27 71.97 74.82 74.94 70.11 73.671
## overall     73.000 73.000 73.000 73.000 73.00 73.00 73.00 73.00 73.00 73.000
## CV residual  0.632  0.934 -0.866 -0.223 -2.27  1.03 -1.82 -1.94  2.89 -0.671
##               1973  1982  1986 1989  1997   2015  2017  2024  2028  2037   2050
## Predicted   72.164 74.65 71.60 71.2 69.76 72.075 71.38 72.15 67.88 70.14 71.385
## cvpred      72.232 74.63 71.57 71.3 69.85 72.179 71.49 72.22 67.86 70.16 71.532
## overall     73.000 73.00 73.00 73.0 73.00 73.000 73.00 73.00 72.00 72.00 72.000
## CV residual  0.768 -1.63  1.43  1.7  3.15  0.821  1.51  0.78  4.14  1.84  0.468
##               2051  2057  2082   2097   2109  2120   2132  2135  2144  2150
## Predicted   72.645 73.49 74.68 71.843 72.408 73.33 71.543 70.54 73.60 70.78
## cvpred      72.665 73.56 74.78 71.849 72.343 73.36 71.535 70.49 73.62 70.88
## overall     72.000 72.00 72.00 72.000 72.000 72.00 72.000 72.00 72.00 72.00
## CV residual -0.665 -1.56 -2.78  0.151 -0.343 -1.36  0.465  1.51 -1.62  1.12
##               2168  2171  2177  2193  2196  2198   2199  2228   2248  2254
## Predicted   71.308 71.55 74.88 74.44 74.41 73.48 71.405 70.80 71.399 71.77
## cvpred      71.354 71.58 74.98 74.47 74.45 73.65 71.378 70.84 71.397 71.87
## overall     72.000 72.00 72.00 72.00 72.00 72.00 72.000 72.00 72.000 72.00
## CV residual  0.646  0.42 -2.98 -2.47 -2.45 -1.65  0.622  1.16  0.603  0.13
##              2291   2298  2313  2327  2342  2361   2365   2390  2396 2397  2408
## Predicted   71.27 72.200 74.63 73.06 70.51 73.92 71.748 71.689 73.78 73.8 68.22
## cvpred      71.28 72.269 74.75 73.06 70.53 73.95 71.707 71.783 73.83 73.8 68.09
## overall     72.00 72.000 72.00 72.00 72.00 72.00 72.000 72.000 72.00 72.0 72.00
## CV residual  0.72 -0.269 -2.75 -1.06  1.47 -1.95  0.293  0.217 -1.83 -1.8  3.91
##              2411  2424  2426   2429 2434  2435   2441  2442   2444 2456  2457
## Predicted   73.35 70.48 73.20 72.086 71.4 63.42 72.558 70.39 71.351 69.8 76.10
## cvpred      73.41 70.58 73.34 72.131 71.5 63.27 72.589 70.48 71.314 69.8 76.13
## overall     72.00 72.00 72.00 72.000 72.0 72.00 72.000 72.00 71.000 71.0 71.00
## CV residual -1.41  1.42 -1.34 -0.131  0.5  8.73 -0.589  1.52 -0.314  1.2 -5.13
##              2459  2464  2476  2508  2513   2535  2541  2558   2566  2603  2630
## Predicted   65.91 72.76 72.68 68.64 72.98 71.576 68.88 72.25 70.321 74.59 68.42
## cvpred      65.92 72.84 72.77 68.73 72.97 71.553 68.84 72.26 70.343 74.54 68.44
## overall     71.00 71.00 71.00 71.00 71.00 71.000 71.00 71.00 71.000 71.00 71.00
## CV residual  5.08 -1.84 -1.77  2.27 -1.97 -0.553  2.16 -1.26  0.657 -3.54  2.56
##               2753  2768  2799  2802 2808  2834  2836  2840  2841   2843  2857
## Predicted   70.361 74.20 72.25 73.55 68.0 72.71 66.49 67.84 68.73 70.236 72.21
## cvpred      70.454 74.26 72.17 73.57 68.1 72.82 66.49 67.82 68.65 70.292 72.29
## overall     71.000 71.00 71.00 71.00 71.0 71.00 71.00 71.00 71.00 71.000 71.00
## CV residual  0.546 -3.26 -1.17 -2.57  2.9 -1.82  4.51  3.18  2.35  0.708 -1.29
##               2858  2860   2869   2871  2873  2879  2889   2913  2915   2920
## Predicted   70.065 69.18 70.613 71.699 67.64 67.13 71.14 70.868 72.91 70.442
## cvpred      70.189 69.16 70.619 71.726 67.66 67.26 71.15 70.984 72.84 70.545
## overall     71.000 71.00 71.000 71.000 71.00 70.00 70.00 70.000 70.00 70.000
## CV residual  0.811  1.84  0.381 -0.726  3.34  2.74 -1.15 -0.984 -2.84 -0.545
##              2938   2941  2949  2950  2971  2980   2987    2996  2997  3001
## Predicted   68.86 69.356 71.54 68.38 72.47 68.90 69.654 69.8536 68.34 73.45
## cvpred      68.98 69.471 71.54 68.32 72.43 68.94 69.634 69.9488 68.43 73.44
## overall     70.00 70.000 70.00 70.00 70.00 70.00 70.000 70.0000 70.00 70.00
## CV residual  1.02  0.529 -1.54  1.68 -2.43  1.06  0.366  0.0512  1.57 -3.44
##               3004  3007  3009  3034  3038  3049  3068  3072  3082  3086
## Predicted   70.294 68.11 71.81 69.79 67.96 71.43 71.70 66.99 71.35 72.14
## cvpred      70.346 68.14 71.82 69.82 67.99 71.34 71.66 67.09 71.35 72.12
## overall     70.000 70.00 70.00 70.00 70.00 70.00 70.00 70.00 70.00 70.00
## CV residual -0.346  1.86 -1.82  0.18  2.01 -1.34 -1.66  2.91 -1.35 -2.12
##                3096  3114   3130 3139  3153  3162   3218  3233   3251   3263
## Predicted   70.0812 72.85 70.365 71.3 71.60 71.96 70.411 71.57 70.179 69.227
## cvpred      70.0735 72.95 70.463 71.3 71.64 71.96 70.346 71.59 70.258 69.255
## overall     70.0000 70.00 70.000 70.0 70.00 70.00 70.000 70.00 70.000 70.000
## CV residual -0.0735 -2.95 -0.463 -1.3 -1.64 -1.96 -0.346 -1.59 -0.258  0.745
##              3264  3269  3277  3291  3322  3323  3324   3348   3353  3365 3373
## Predicted   67.36 72.94 73.21 72.66 71.82 68.83 72.35 69.367 69.756 68.90 71.1
## cvpred      67.36 73.03 73.31 72.64 71.83 68.87 72.35 69.441 69.782 68.83 71.1
## overall     70.00 70.00 70.00 70.00 70.00 70.00 70.00 70.000 70.000 70.00 69.0
## CV residual  2.64 -3.03 -3.31 -2.64 -1.83  1.13 -2.35  0.559  0.218  1.17 -2.1
##               3376 3387  3396   3404 3411  3425  3440   3443  3499 3505   3533
## Predicted   69.165 70.7 68.74 69.373 70.6 71.03 67.84 69.547 71.17 70.9 68.274
## cvpred      69.142 70.7 68.78 69.443 70.6 71.05 67.89 69.495 71.16 71.0 68.256
## overall     69.000 69.0 69.00 69.000 69.0 69.00 69.00 69.000 69.00 69.0 69.000
## CV residual -0.142 -1.7  0.22 -0.443 -1.6 -2.05  1.11 -0.495 -2.16 -2.0  0.744
##              3536   3540   3546  3573  3576    3582 3593 3608  3622  3642  3648
## Predicted   72.29 69.189 69.406 71.45 73.17 69.0223 70.4 71.1 65.96 69.80 68.01
## cvpred      72.29 69.204 69.372 71.46 73.19 69.0398 70.4 71.1 65.94 69.86 67.95
## overall     69.00 69.000 69.000 69.00 69.00 69.0000 69.0 69.0 69.00 69.00 69.00
## CV residual -3.29 -0.204 -0.372 -2.46 -4.19 -0.0398 -1.4 -2.1  3.06 -0.86  1.05
##              3666  3712  3722   3723   3733   3750  3764  3767   3801    3804
## Predicted   63.43 70.08 67.71 68.459 69.851 69.562 70.08 71.52 69.974 68.9765
## cvpred      63.38 70.19 67.69 68.569 69.917 69.637 70.08 71.56 69.922 69.0315
## overall     69.00 69.00 69.00 69.000 69.000 69.000 69.00 69.00 69.000 69.0000
## CV residual  5.62 -1.19  1.31  0.431 -0.917 -0.637 -1.08 -2.56 -0.922 -0.0315
##               3817    3819   3830 3848  3874  3917   3931   3947   3954   3957
## Predicted   69.166 69.0436 69.304 65.4 66.98 69.42 68.819 67.758 68.502 68.402
## cvpred      69.172 69.0445 69.294 65.3 67.03 69.44 68.743 67.819 68.545 68.453
## overall     69.000 69.0000 69.000 68.0 68.00 68.00 68.000 68.000 68.000 68.000
## CV residual -0.172 -0.0445 -0.294  2.7  0.97 -1.44 -0.743  0.181 -0.545 -0.453
##              3962   3980  3993  4003  4004  4014  4015  4061  4081  4089  4106
## Predicted   65.77 67.553 59.86 69.61 69.17 70.74 70.60 69.22 71.00 70.27 70.19
## cvpred      65.81 67.558 59.65 69.54 69.08 70.78 70.63 69.34 70.89 70.18 70.27
## overall     68.00 68.000 68.00 68.00 68.00 68.00 68.00 68.00 68.00 68.00 68.00
## CV residual  2.19  0.442  8.35 -1.54 -1.08 -2.78 -2.63 -1.34 -2.89 -2.18 -2.27
##              4111  4126  4129   4148 4158  4159  4168  4169   4180  4192  4224
## Predicted   70.36 70.41 64.17 68.335 69.7 69.73 69.81 70.05 69.005 70.89 65.78
## cvpred      70.26 70.52 64.07 68.358 69.7 69.81 69.79 70.12 68.984 70.84 65.71
## overall     68.00 68.00 68.00 68.000 68.0 68.00 68.00 68.00 68.000 68.00 68.00
## CV residual -2.26 -2.52  3.93 -0.358 -1.7 -1.81 -1.79 -2.12 -0.984 -2.84  2.29
##              4254   4260   4262  4268   4277  4278  4284  4294  4312  4316
## Predicted   70.99 68.257 68.848 71.26 67.622 67.66 69.10 65.94 69.37 68.98
## cvpred      71.02 68.167 68.888 71.35 67.737 67.75 69.05 65.93 69.35 69.03
## overall     68.00 68.000 68.000 68.00 68.000 68.00 68.00 68.00 68.00 68.00
## CV residual -3.02 -0.167 -0.888 -3.35  0.263  0.25 -1.05  2.07 -1.35 -1.03
##              4317  4319   4320  4342  4359  4365  4370   4379  4384  4415  4443
## Predicted   62.40 69.26 67.332 62.95 64.98 65.14 68.05 66.137 64.00 69.62 69.18
## cvpred      62.39 69.27 67.325 62.81 64.98 65.15 68.05 66.179 63.92 69.73 69.11
## overall     68.00 68.00 68.000 68.00 67.00 67.00 67.00 67.000 67.00 67.00 67.00
## CV residual  5.61 -1.27  0.675  5.19  2.02  1.85 -1.05  0.821  3.08 -2.73 -2.11
##               4446  4462  4469  4470  4478  4479   4487 4500 4501   4505  4511
## Predicted   67.111 68.14 64.06 69.21 69.20 70.84 66.401 70.1 69.8 67.158 65.13
## cvpred      67.205 68.16 64.01 69.22 69.17 70.78 66.503 70.1 69.8 67.167 65.08
## overall     67.000 67.00 67.00 67.00 67.00 67.00 67.000 67.0 67.0 67.000 67.00
## CV residual -0.205 -1.16  2.99 -2.22 -2.17 -3.78  0.497 -3.1 -2.8 -0.167  1.92
##               4517  4521  4523   4553  4564  4581 4585  4599   4625   4627
## Predicted   66.848 65.28 65.06 67.695 69.57 68.04 67.7 70.45 66.811 66.080
## cvpred      66.724 65.27 65.03 67.691 69.64 68.03 67.6 70.35 66.737 66.059
## overall     67.000 67.00 67.00 67.000 67.00 67.00 67.0 67.00 67.000 67.000
## CV residual  0.276  1.73  1.97 -0.691 -2.64 -1.03 -0.6 -3.35  0.263  0.941
##              4640  4643  4647  4709  4710  4713   4755  4780  4807  4809   4837
## Predicted   65.65 68.44 68.66 70.80 68.01 68.65 66.779 68.26 68.81 70.15 65.078
## cvpred      65.63 68.48 68.57 70.84 68.05 68.68 66.778 68.31 68.89 70.18 65.127
## overall     67.00 67.00 67.00 67.00 67.00 67.00 67.000 67.00 67.00 67.00 66.000
## CV residual  1.37 -1.48 -1.57 -3.84 -1.05 -1.68  0.222 -1.31 -1.89 -3.18  0.873
##               4851  4861  4865  4884  4908   4909  4935   4938  4940  4944
## Predicted   65.631 67.80 68.70 67.11 64.03 65.083 64.06 66.891 67.16 67.58
## cvpred      65.652 67.78 68.66 67.14 64.04 65.088 64.01 66.895 67.15 67.57
## overall     66.000 66.00 66.00 66.00 66.00 66.000 66.00 66.000 66.00 66.00
## CV residual  0.348 -1.78 -2.66 -1.14  1.96  0.912  1.99 -0.895 -1.15 -1.57
##              4954  4955   4958 4972  4980   4986  4987  4988  5004  5014  5018
## Predicted   67.33 67.51 65.415 68.4 67.44 66.326 63.89 63.88 67.91 62.75 67.62
## cvpred      67.42 67.46 65.429 68.4 67.44 66.357 63.83 63.88 67.99 62.76 67.57
## overall     66.00 66.00 66.000 66.0 66.00 66.000 66.00 66.00 66.00 66.00 66.00
## CV residual -1.42 -1.46  0.571 -2.4 -1.44 -0.357  2.17  2.12 -1.99  3.24 -1.57
##              5056  5060  5084    5086   5087    5088  5092 5113 5117  5139
## Predicted   62.84 67.11 68.36 65.8444 65.752 65.9643 68.03 67.1 67.5 63.82
## cvpred      62.74 67.03 68.25 65.9613 65.796 65.9604 67.97 67.2 67.5 63.83
## overall     66.00 66.00 66.00 66.0000 66.000 66.0000 66.00 66.0 66.0 66.00
## CV residual  3.26 -1.03 -2.25  0.0387  0.204  0.0396 -1.97 -1.2 -1.5  2.17
##              5163  5197  5204   5213   5214  5215  5218  5228   5230   5240
## Predicted   67.89 69.09 60.94 65.603 65.589 61.00 67.18 67.73 65.218 66.298
## cvpred      67.87 69.11 60.76 65.596 65.534 60.95 67.22 67.68 65.192 66.241
## overall     66.00 66.00 66.00 66.000 66.000 66.00 66.00 66.00 66.000 66.000
## CV residual -1.87 -3.11  5.24  0.404  0.466  5.05 -1.22 -1.68  0.808 -0.241
##              5242   5255  5258  5260 5268  5294  5347   5363 5373   5376   5384
## Predicted   66.26 66.770 67.10 69.42 69.0 68.79 63.98 65.782 61.5 64.056 64.730
## cvpred      66.28 66.794 67.11 69.47 68.9 68.75 64.06 65.775 61.4 64.045 64.683
## overall     66.00 66.000 66.00 66.00 66.0 66.00 65.00 65.000 65.0 65.000 65.000
## CV residual -0.28 -0.794 -1.11 -3.47 -2.9 -2.75  0.94 -0.775  3.6  0.955  0.317
##              5385   5389  5397 5407  5409  5415  5417   5421  5430  5446   5461
## Predicted   68.12 65.532 66.31 51.2 69.62 68.01 62.32 65.797 61.62 66.24 64.616
## cvpred      68.22 65.561 66.26 51.0 69.63 67.96 62.32 65.795 61.63 66.33 64.531
## overall     65.00 65.000 65.00 65.0 65.00 65.00 65.00 65.000 65.00 65.00 65.000
## CV residual -3.22 -0.561 -1.26 14.0 -4.63 -2.96  2.68 -0.795  3.37 -1.33  0.469
##              5474   5509   5515  5530   5543  5593  5634  5640  5661   5670
## Predicted   66.49 65.691 65.797 66.88 65.499 68.14 67.15 67.70 67.98 65.610
## cvpred      66.45 65.662 65.877 66.91 65.543 68.15 67.25 67.76 67.95 65.512
## overall     65.00 65.000 65.000 65.00 65.000 65.00 65.00 65.00 65.00 65.000
## CV residual -1.45 -0.662 -0.877 -1.91 -0.543 -3.15 -2.25 -2.76 -2.95 -0.512
##              5713  5756   5757 5766  5821     5844  5886   5889  5937  5949
## Predicted   64.38 66.64 65.810 67.2 62.81 64.04013 67.28 63.836 65.18 62.71
## cvpred      64.42 66.68 65.805 67.2 62.72 64.00106 67.27 63.816 65.22 62.69
## overall     65.00 65.00 65.000 65.0 64.00 64.00000 64.00 64.000 64.00 64.00
## CV residual  0.58 -1.68 -0.805 -2.2  1.28 -0.00106 -3.27  0.184 -1.22  1.31
##              5959  5992 6000   6003  6030  6032   6069  6080  6081    6122
## Predicted   65.76 68.28 65.2 64.359 62.76 62.82 64.843 65.42 65.32 63.9909
## cvpred      65.71 68.31 65.2 64.248 62.76 62.91 64.724 65.39 65.39 63.9756
## overall     64.00 64.00 64.0 64.000 64.00 64.00 64.000 64.00 64.00 64.0000
## CV residual -1.71 -4.31 -1.2 -0.248  1.24  1.09 -0.724 -1.39 -1.39  0.0244
##              6139  6155   6158   6161  6197     6199 6236    6238   6259   6260
## Predicted   71.09 59.30 63.824 64.391 66.66 62.89072 64.9 62.9676 63.192 63.949
## cvpred      71.13 59.18 63.755 64.391 66.58 62.99126 65.0 62.9662 63.251 63.948
## overall     64.00 64.00 64.000 64.000 63.00 63.00000 63.0 63.0000 63.000 63.000
## CV residual -7.13  4.82  0.245 -0.391 -3.58  0.00874 -2.0  0.0338 -0.251 -0.948
##              6274  6279  6305   6330  6343  6360 6371  6374   6383 6384  6389
## Predicted   67.77 64.76 65.09 63.742 65.74 64.48 65.9 65.01 62.436   65 66.69
## cvpred      67.81 64.77 65.06 63.831 65.75 64.43 65.8 65.02 62.395   65 66.73
## overall     63.00 63.00 63.00 63.000 63.00 63.00 63.0 63.00 63.000   63 63.00
## CV residual -4.81 -1.77 -2.06 -0.831 -2.75 -1.43 -2.8 -2.02  0.605   -2 -3.73
##              6397  6413  6451  6474  6475   6478 6514  6524 6535  6542   6604
## Predicted   68.59 65.15 65.43 64.33 61.60 62.603 49.9 63.25 63.2 63.43 61.352
## cvpred      68.54 65.21 65.37 64.26 61.56 62.549 49.5 63.19 63.3 63.37 61.269
## overall     63.00 63.00 63.00 62.00 62.00 62.000 62.0 62.00 62.0 62.00 62.000
## CV residual -5.54 -2.21 -2.37 -2.26  0.44 -0.549 12.5 -1.19 -1.3 -1.37  0.731
##              6623  6660  6662  6683   6687 6699  6701  6725  6759 6762  6788
## Predicted   59.52 63.97 64.58 64.24 62.639 62.8 63.55 59.71 62.02 64.5 64.26
## cvpred      59.58 64.03 64.63 64.16 62.619 62.8 63.63 59.69 62.04 64.4 64.14
## overall     62.00 62.00 62.00 62.00 62.000 61.0 61.00 61.00 61.00 61.0 61.00
## CV residual  2.42 -2.03 -2.63 -2.16 -0.619 -1.8 -2.63  1.31 -1.04 -3.4 -3.14
##             6792  6806  6810   6817  6823  6829  6851  6866    6867  6868
## Predicted   55.4 62.01 65.10 61.885 64.53 63.99 62.89 63.06 60.0940 62.18
## cvpred      55.4 62.04 65.13 61.889 64.54 64.02 62.93 63.03 60.0643 62.18
## overall     61.0 61.00 61.00 61.000 61.00 61.00 61.00 60.00 60.0000 60.00
## CV residual  5.6 -1.04 -4.13 -0.889 -3.54 -3.02 -1.93 -3.03 -0.0643 -2.18
##               6909  6916 6939 6944  6959  7002  7046  7056    7057  7072  7084
## Predicted   59.360 61.94 62.2 62.7 61.80 62.46 62.31 60.68 59.1228 61.62 61.35
## cvpred      59.132 61.97 62.2 62.6 61.88 62.42 62.25 60.62 59.0558 61.65 61.33
## overall     60.000 60.00 60.0 60.0 60.00 59.00 59.00 59.00 59.0000 58.00 58.00
## CV residual  0.868 -1.97 -2.2 -2.6 -1.88 -3.42 -3.25 -1.62 -0.0558 -3.65 -3.33
##                7101  7105   7140  7167   7172  7195 7200  7230  7249  7256
## Predicted   57.9722 50.51 57.819 58.82 57.540 57.35 57.2 51.51 54.09 56.52
## cvpred      57.9706 50.26 57.829 58.76 57.422 57.32 57.2 51.38 53.98 56.43
## overall     58.0000 58.00 58.000 57.00 57.000 56.00 56.0 54.00 52.00 50.00
## CV residual  0.0294  7.74  0.171 -1.76 -0.422 -1.32 -1.2  2.62 -1.98 -6.43
## 
## Sum of squares = 3115    Mean square = 5.74    n = 543 
## 
## fold 2 
## Observations in test set: 544 
##                 6    16    45    86    90   114   123   141   159    177    178
## Predicted   86.84 82.35 80.67 81.37 82.26 82.48 78.89 79.05 78.87 83.554 82.348
## cvpred      86.77 82.19 80.57 81.31 82.28 82.35 78.74 79.04 78.93 83.467 82.317
## overall     91.00 89.00 87.00 85.00 85.00 84.00 84.00 83.00 83.00 83.000 83.000
## CV residual  4.23  6.81  6.43  3.69  2.72  1.65  5.26  3.96  4.07 -0.467  0.683
##               181   195   227   233   248   260    267    281   284   285   305
## Predicted   81.60 81.86 79.07 80.73 80.26 83.82 81.173 80.372 79.44 79.39 78.50
## cvpred      81.55 81.83 79.05 80.65 80.21 83.84 81.136 80.395 79.41 79.39 78.44
## overall     83.00 83.00 82.00 82.00 82.00 81.00 81.000 81.000 81.00 81.00 81.00
## CV residual  1.45  1.17  2.95  1.35  1.79 -2.84 -0.136  0.605  1.59  1.61  2.56
##               319    321   339   401   418   420   434   465    528   550
## Predicted   76.02 79.094 78.49 77.87 78.59 75.91 80.11 75.96 78.425 71.13
## cvpred      75.93 79.024 78.55 77.84 78.57 75.81 80.09 75.96 78.369 71.14
## overall     81.00 80.000 80.00 80.00 80.00 80.00 79.00 79.00 79.000 78.00
## CV residual  5.07  0.976  1.45  2.16  1.43  4.19 -1.09  3.04  0.631  6.86
##                560    574    575   576   583  585  588   604   605   630   645
## Predicted   78.155 77.732 77.034 76.17 74.92 78.6 79.7 76.93 76.63 79.62 79.35
## cvpred      78.207 77.723 77.033 76.11 75.03 78.5 79.7 76.96 76.62 79.57 79.36
## overall     78.000 78.000 78.000 78.00 78.00 78.0 78.0 78.00 78.00 78.00 78.00
## CV residual -0.207  0.277  0.967  1.89  2.97 -0.5 -1.7  1.04  1.38 -1.57 -1.36
##               664    676    681   682    690   695    697    723    739    742
## Predicted   76.70 77.847 78.270 74.21 77.813 76.30 78.203 77.546 76.263 77.431
## cvpred      76.68 77.786 78.262 74.25 77.808 76.29 78.178 77.497 76.301 77.469
## overall     78.00 78.000 78.000 78.00 78.000 78.00 78.000 77.000 77.000 77.000
## CV residual  1.32  0.214 -0.262  3.75  0.192  1.71 -0.178 -0.497  0.699 -0.469
##              748    750   761    770  804  809    825    829  836   846     863
## Predicted   79.2 77.605 75.75 77.260 71.8 77.4 77.645 77.913 75.8 75.94 76.0182
## cvpred      79.3 77.644 75.75 77.289 71.7 77.3 77.574 77.875 75.8 75.95 76.0421
## overall     77.0 77.000 77.00 77.000 77.0 77.0 77.000 77.000 77.0 77.00 76.0000
## CV residual -2.3 -0.644  1.25 -0.289  5.3 -0.3 -0.574 -0.875  1.2  1.05 -0.0421
##                877     878    887    891   905   907   909   931  937   941
## Predicted   76.421 75.8531 76.808 75.601 71.05 73.79 74.61 68.33 78.3 70.14
## cvpred      76.418 75.9302 76.845 75.554 71.05 73.74 74.69 68.37 78.3 70.13
## overall     76.000 76.0000 76.000 76.000 76.00 76.00 76.00 76.00 76.0 76.00
## CV residual -0.418  0.0698 -0.845  0.446  4.95  2.26  1.31  7.63 -2.3  5.87
##               947    950    954      965    973    992   993   1013   1024
## Predicted   74.04 75.235 76.729 76.10553 76.581 76.103 74.60 75.609 75.483
## cvpred      74.05 75.241 76.654 76.00644 76.542 76.115 74.62 75.518 75.387
## overall     76.00 76.000 76.000 76.00000 76.000 76.000 76.00 76.000 76.000
## CV residual  1.95  0.759 -0.654 -0.00644 -0.542 -0.115  1.38  0.482  0.613
##              1031   1041  1056   1087  1095   1102  1103  1124  1131  1132
## Predicted   73.40 77.057 73.34 75.229 72.70 76.017 72.61 71.95 76.34 72.89
## cvpred      73.39 76.969 73.39 75.276 72.76 75.984 72.64 72.06 76.32 72.95
## overall     76.00 76.000 76.00 75.000 75.00 75.000 75.00 75.00 75.00 75.00
## CV residual  2.61 -0.969  2.61 -0.276  2.24 -0.984  2.36  2.94 -1.32  2.05
##              1133   1134  1151   1176 1183 1209  1220  1226  1230  1259  1268
## Predicted   70.73 74.455 73.06 75.654 71.8 73.3 73.48 73.48 77.84 71.82 72.54
## cvpred      70.74 74.499 73.06 75.604 71.7 73.3 73.51 73.41 77.84 71.84 72.42
## overall     75.00 75.000 75.00 75.000 75.0 75.0 75.00 75.00 75.00 75.00 75.00
## CV residual  4.26  0.501  1.94 -0.604  3.3  1.7  1.49  1.59 -2.84  3.16  2.58
##              1283   1285  1288  1293  1296  1317   1318   1321   1325   1326
## Predicted   72.93 74.463 72.92 76.12 73.61 77.26 75.218 75.309 75.690 75.896
## cvpred      72.86 74.347 72.98 76.07 73.58 77.28 75.229 75.236 75.688 75.823
## overall     75.00 75.000 75.00 75.00 75.00 75.00 75.000 75.000 75.000 75.000
## CV residual  2.14  0.653  2.02 -1.07  1.42 -2.28 -0.229 -0.236 -0.688 -0.823
##               1327   1339   1341  1342  1353  1362  1363   1367  1373  1374
## Predicted   75.255 76.042 75.500 78.45 70.20 75.07 69.45 73.890 68.35 71.39
## cvpred      75.303 75.965 75.453 78.55 70.17 75.12 69.47 73.861 68.33 71.32
## overall     75.000 75.000 75.000 75.00 75.00 74.00 74.00 74.000 74.00 74.00
## CV residual -0.303 -0.965 -0.453 -3.55  4.83 -1.12  4.53  0.139  5.67  2.68
##              1383  1419  1422  1433   1460  1471  1474  1478  1494   1521 1524
## Predicted   71.92 72.07 72.65 72.91 74.732 76.25 74.37 72.49 69.00 74.880 72.8
## cvpred      71.87 72.05 72.65 72.85 74.768 76.22 74.36 72.53 68.92 74.924 72.7
## overall     74.00 74.00 74.00 74.00 74.000 74.00 74.00 74.00 74.00 74.000 74.0
## CV residual  2.13  1.95  1.35  1.15 -0.768 -2.22 -0.36  1.47  5.08 -0.924  1.3
##              1539 1576  1578  1614   1632 1677  1678   1689  1691   1704   1710
## Predicted   70.36 71.8 75.07 75.41 74.328 71.9 70.52 73.233 75.43 73.415 73.234
## cvpred      70.28 71.8 75.03 75.43 74.357 71.9 70.46 73.271 75.43 73.383 73.265
## overall     74.00 74.0 74.00 74.00 74.000 73.0 73.00 73.000 73.00 73.000 73.000
## CV residual  3.72  2.2 -1.03 -1.43 -0.357  1.1  2.54 -0.271 -2.43 -0.383 -0.265
##              1728    1748   1761  1767  1784  1794  1815    1838   1841   1908
## Predicted   71.75 73.0359 72.285 63.48 71.70 74.61 75.36 73.1500 72.195 72.754
## cvpred      71.78 73.0643 72.304 63.58 71.77 74.58 75.33 73.0768 72.157 72.666
## overall     73.00 73.0000 73.000 73.00 73.00 73.00 73.00 73.0000 73.000 73.000
## CV residual  1.22 -0.0643  0.696  9.42  1.23 -1.58 -2.33 -0.0768  0.843  0.334
##               1922 1940  1981 2006  2007  2021  2029  2031 2038    2094   2101
## Predicted   73.586 74.8 70.80 69.6 70.23 71.90 73.71 68.04 74.2 71.9427 71.209
## cvpred      73.598 74.7 70.84 69.5 70.16 71.88 73.76 67.97 74.3 71.9411 71.177
## overall     73.000 73.0 73.00 73.0 73.00 73.00 72.00 72.00 72.0 72.0000 72.000
## CV residual -0.598 -1.7  2.16  3.5  2.84  1.12 -1.76  4.03 -2.3  0.0589  0.823
##               2119  2140  2152  2159   2186  2203   2210  2222   2230 2256
## Predicted   71.504 68.38 71.93 70.47 72.729 74.54 71.622 70.73 71.195 74.6
## cvpred      71.564 68.41 71.87 70.42 72.691 74.56 71.636 70.65 71.143 74.5
## overall     72.000 72.00 72.00 72.00 72.000 72.00 72.000 72.00 72.000 72.0
## CV residual  0.436  3.59  0.13  1.58 -0.691 -2.56  0.364  1.35  0.857 -2.5
##               2287   2328   2332  2345  2354  2355  2388  2399  2412  2413
## Predicted   72.575 71.496 72.147 70.57 70.39 70.78 77.40 71.84 70.17 70.71
## cvpred      72.489 71.546 72.101 70.53 70.33 70.74 77.35 71.87 70.07 70.68
## overall     72.000 72.000 72.000 72.00 72.00 72.00 72.00 72.00 72.00 72.00
## CV residual -0.489  0.454 -0.101  1.47  1.67  1.26 -5.35  0.13  1.93  1.32
##              2438   2446  2466  2473   2474 2487  2491  2507  2515  2516
## Predicted   70.66 70.337 68.58 72.13 70.636 69.7 72.55 67.99 69.71 68.59
## cvpred      70.62 70.351 68.56 72.16 70.628 69.7 72.54 67.93 69.71 68.59
## overall     72.00 71.000 71.00 71.00 71.000 71.0 71.00 71.00 71.00 71.00
## CV residual  1.38  0.649  2.44 -1.16  0.372  1.3 -1.54  3.07  1.29  2.41
##                2522  2533    2572  2598  2626  2632   2688   2697  2710  2732
## Predicted   71.0577 73.58 71.0558 68.33 72.84 73.29 70.840 70.469 72.31 73.21
## cvpred      71.0601 73.62 71.0364 68.38 72.88 73.29 70.798 70.458 72.33 73.16
## overall     71.0000 71.00 71.0000 71.00 71.00 71.00 71.000 71.000 71.00 71.00
## CV residual -0.0601 -2.62 -0.0364  2.62 -1.88 -2.29  0.202  0.542 -1.33 -2.16
##              2739  2745   2783  2790    2791 2803   2804   2823  2837  2856
## Predicted   68.10 73.19 71.492 72.44 71.0496 74.1 71.175 71.932 69.77 69.54
## cvpred      68.14 73.19 71.552 72.37 70.9698 74.1 71.153 71.892 69.75 69.43
## overall     71.00 71.00 71.000 71.00 71.0000 71.0 71.000 71.000 71.00 71.00
## CV residual  2.86 -2.19 -0.552 -1.37  0.0302 -3.1 -0.153 -0.892  1.25  1.57
##              2859   2863  2872  2878  2884   2888   2896  2900   2903  2909
## Predicted   64.21 70.625 69.94 71.81 68.53 70.024 69.635 72.30 69.353 72.51
## cvpred      64.24 70.642 69.89 71.88 68.49 70.058 69.754 72.32 69.442 72.56
## overall     71.00 71.000 71.00 70.00 70.00 70.000 70.000 70.00 70.000 70.00
## CV residual  6.76  0.358  1.11 -1.88  1.51 -0.058  0.246 -2.32  0.558 -2.56
##               2927  2947 2969  2979  2985   3010   3012  3050  3056  3060  3092
## Predicted   69.693 72.96 68.6 72.37 72.75 70.885 69.202 67.61 68.35 71.48 67.19
## cvpred      69.711 72.98 68.7 72.38 72.75 70.883 69.264 67.57 68.29 71.48 67.14
## overall     70.000 70.00 70.0 70.00 70.00 70.000 70.000 70.00 70.00 70.00 70.00
## CV residual  0.289 -2.98  1.3 -2.38 -2.75 -0.883  0.736  2.43  1.71 -1.48  2.86
##              3109   3126  3143  3154  3170   3177  3211   3213   3215   3222
## Predicted   71.24 70.321 67.67 71.11 65.91 69.224 71.23 70.453 70.198 69.641
## cvpred      71.27 70.358 67.64 71.07 65.96 69.192 71.26 70.437 70.169 69.607
## overall     70.00 70.000 70.00 70.00 70.00 70.000 70.00 70.000 70.000 70.000
## CV residual -1.27 -0.358  2.36 -1.07  4.04  0.808 -1.26 -0.437 -0.169  0.393
##              3229  3237  3248    3252    3266  3274   3278  3281   3285   3292
## Predicted   67.94 71.39 71.87 70.0854 69.9265 68.61 69.629 69.07 70.222 70.315
## cvpred      67.95 71.37 71.86 70.0897 69.9714 68.72 69.591 69.02 70.212 70.252
## overall     70.00 70.00 70.00 70.0000 70.0000 70.00 70.000 70.00 70.000 70.000
## CV residual  2.05 -1.37 -1.86 -0.0897  0.0286  1.28  0.409  0.98 -0.212 -0.252
##              3300   3306  3316  3333  3368 3372  3415   3432  3453    3464
## Predicted   67.70 70.391 71.89 71.87 70.42 67.9 70.97 69.607 70.00 68.9248
## cvpred      67.73 70.332 71.83 71.86 70.37 67.9 70.98 69.653 70.06 68.9052
## overall     70.00 70.000 70.00 70.00 70.00 69.0 69.00 69.000 69.00 69.0000
## CV residual  2.27 -0.332 -1.83 -1.86 -0.37  1.1 -1.98 -0.653 -1.06  0.0948
##                3466  3468   3484  3502   3503  3512  3551  3553  3559  3609
## Predicted   68.8703 65.42 68.401 67.74 69.788 70.77 67.73 67.99 68.02 70.43
## cvpred      68.9502 65.42 68.348 67.72 69.743 70.77 67.77 67.98 67.97 70.44
## overall     69.0000 69.00 69.000 69.00 69.000 69.00 69.00 69.00 69.00 69.00
## CV residual  0.0498  3.58  0.652  1.28 -0.743 -1.77  1.23  1.02  1.03 -1.44
##              3617  3621  3634   3683   3771   3776  3784  3822  3837  3840
## Predicted   66.04 65.94 67.29 69.698 69.218 68.136 62.67 70.74 71.84 69.52
## cvpred      65.96 65.84 67.32 69.585 69.178 68.081 62.72 70.75 71.83 69.59
## overall     69.00 69.00 69.00 69.000 69.000 69.000 69.00 69.00 69.00 68.00
## CV residual  3.04  3.16  1.68 -0.585 -0.178  0.919  6.28 -1.75 -2.83 -1.59
##               3867  3873  3875  3880   3906  3908   3916  3928   3936   3948
## Predicted   67.571 66.61 66.97 65.66 67.740 66.47 68.936 69.21 68.674 68.419
## cvpred      67.655 66.58 66.96 65.68 67.708 66.48 68.997 69.18 68.715 68.468
## overall     68.000 68.00 68.00 68.00 68.000 68.00 68.000 68.00 68.000 68.000
## CV residual  0.345  1.42  1.04  2.32  0.292  1.52 -0.997 -1.18 -0.715 -0.468
##              3981  3998  3999   4016   4021  4025   4030    4046  4060  4098
## Predicted   65.78 69.54 63.25 67.669 68.774 65.56 67.327 68.0005 66.76 71.50
## cvpred      65.76 69.61 63.32 67.667 68.756 65.49 67.349 68.0363 66.76 71.48
## overall     68.00 68.00 68.00 68.000 68.000 68.00 68.000 68.0000 68.00 68.00
## CV residual  2.24 -1.61  4.68  0.333 -0.756  2.51  0.651 -0.0363  1.24 -3.48
##               4123  4174   4187   4194    4201  4211  4218  4233  4236 4249
## Predicted   68.425 66.61 68.576 67.710 68.0914 67.08 70.34 66.38 70.37 70.2
## cvpred      68.472 66.55 68.552 67.667 68.0869 66.96 70.31 66.39 70.36 70.2
## overall     68.000 68.00 68.000 68.000 68.0000 68.00 68.00 68.00 68.00 68.0
## CV residual -0.472  1.45 -0.552  0.333 -0.0869  1.04 -2.31  1.61 -2.36 -2.2
##              4282  4290    4291   4299  4303    4325  4327   4330  4337   4343
## Predicted   71.00 69.47 68.1520 68.393 69.03 68.0848 70.35 68.712 70.86 67.298
## cvpred      71.07 69.49 68.0495 68.415 69.01 68.0372 70.34 68.617 70.83 67.292
## overall     68.00 68.00 68.0000 68.000 68.00 68.0000 68.00 68.000 68.00 68.000
## CV residual -3.07 -1.49 -0.0495 -0.415 -1.01 -0.0372 -2.34 -0.617 -2.83  0.708
##               4375    4396  4403  4432 4434   4445   4454  4473 4481   4482
## Predicted   66.726 66.9368 68.19 69.15 70.6 66.185 67.127 67.99 62.4 66.604
## cvpred      66.787 66.9566 68.28 69.21 70.7 66.205 67.268 68.03 62.5 66.618
## overall     67.000 67.0000 67.00 67.00 67.0 67.000 67.000 67.00 67.0 67.000
## CV residual  0.213  0.0434 -1.28 -2.21 -3.7  0.795 -0.268 -1.03  4.5  0.382
##              4485   4488 4498  4502  4532   4533  4543   4544  4552  4559  4577
## Predicted   69.02 67.411 69.4 69.79 69.66 67.165 69.09 67.951 69.45 69.45 69.26
## cvpred      69.08 67.415 69.5 69.77 69.74 67.149 69.14 67.956 69.43 69.44 69.29
## overall     67.00 67.000 67.0 67.00 67.00 67.000 67.00 67.000 67.00 67.00 67.00
## CV residual -2.08 -0.415 -2.5 -2.77 -2.74 -0.149 -2.14 -0.956 -2.43 -2.44 -2.29
##              4597    4615  4621 4623  4673  4679   4700   4704  4708  4711
## Predicted   70.44 66.9536 64.81   64 68.73 63.33 67.896 67.225 62.65 69.06
## cvpred      70.45 66.9288 64.86   64 68.73 63.35 67.844 67.215 62.63 68.99
## overall     67.00 67.0000 67.00   67 67.00 67.00 67.000 67.000 67.00 67.00
## CV residual -3.45  0.0712  2.14    3 -1.73  3.65 -0.844 -0.215  4.37 -1.99
##              4717  4739  4785   4787  4801   4825   4845  4858  4879   4885
## Predicted   68.10 69.42 68.16 67.044 69.07 66.692 65.405 64.58 68.49 65.574
## cvpred      68.08 69.39 68.17 67.124 68.98 66.636 65.494 64.57 68.59 65.675
## overall     67.00 67.00 67.00 67.000 67.00 67.000 66.000 66.00 66.00 66.000
## CV residual -1.08 -2.39 -1.17 -0.124 -1.98  0.364  0.506  1.43 -2.59  0.325
##              4890   4896  4929  4942  4957   4963   4991  5024  5031  5033
## Predicted   67.68 65.532 64.89 66.24 65.72 66.894 65.491 67.63 68.04 67.11
## cvpred      67.73 65.527 64.86 66.23 65.77 66.915 65.505 67.59 67.98 67.16
## overall     66.00 66.000 66.00 66.00 66.00 66.000 66.000 66.00 66.00 66.00
## CV residual -1.73  0.473  1.14 -0.23  0.23 -0.915  0.495 -1.59 -1.98 -1.16
##              5036  5042   5045   5063   5074 5083   5122   5123  5124  5131
## Predicted   69.60 62.51 65.883 66.053 65.567 66.0 66.864 64.995 68.40 67.77
## cvpred      69.63 62.55 65.857 66.101 65.561 65.9 66.813 65.075 68.32 67.78
## overall     66.00 66.00 66.000 66.000 66.000 66.0 66.000 66.000 66.00 66.00
## CV residual -3.63  3.45  0.143 -0.101  0.439  0.1 -0.813  0.925 -2.32 -1.78
##             5156   5167   5169  5193   5205  5239   5249  5254  5259  5269
## Predicted   69.3 66.702 65.547 68.19 66.828 68.01 66.533 66.98 69.77 64.11
## cvpred      69.2 66.727 65.465 68.22 66.728 67.96 66.547 67.01 69.81 64.12
## overall     66.0 66.000 66.000 66.00 66.000 66.00 66.000 66.00 66.00 66.00
## CV residual -3.2 -0.727  0.535 -2.22 -0.728 -1.96 -0.547 -1.01 -3.81  1.88
##               5309   5313   5331 5335  5336  5358   5359  5379   5387  5423
## Predicted   65.678 65.532 65.327 66.8 66.44 63.33 64.647 63.04 65.572 62.88
## cvpred      65.713 65.559 65.286 66.8 66.43 63.37 64.619 63.13 65.609 62.89
## overall     66.000 66.000 65.000 65.0 65.00 65.00 65.000 65.00 65.000 65.00
## CV residual  0.287  0.441 -0.286 -1.8 -1.43  1.63  0.381  1.87 -0.609  2.11
##             5439   5443   5451  5454  5473   5486   5498  5504   5513    5514
## Predicted   66.7 64.853 65.518 65.80 63.14 65.136 64.131 66.26 64.833 64.9529
## cvpred      66.7 64.807 65.572 65.83 63.18 65.126 64.129 66.28 64.832 64.9233
## overall     65.0 65.000 65.000 65.00 65.00 65.000 65.000 65.00 65.000 65.0000
## CV residual -1.7  0.193 -0.572 -0.83  1.82 -0.126  0.871 -1.28  0.168  0.0767
##              5519  5520    5550  5551  5552  5556  5568   5570  5596  5616
## Predicted   66.56 69.59 64.9703 66.33 69.57 66.79 66.43 65.493 67.26 63.74
## cvpred      66.58 69.66 64.9036 66.34 69.61 66.83 66.44 65.455 67.34 63.79
## overall     65.00 65.00 65.0000 65.00 65.00 65.00 65.00 65.000 65.00 65.00
## CV residual -1.58 -4.66  0.0964 -1.34 -4.61 -1.83 -1.44 -0.455 -2.34  1.21
##              5632  5641  5657   5671  5674 5676  5681   5682  5688  5710   5724
## Predicted   66.13 66.95 67.03 65.292 70.28 66.2 68.14 65.605 66.16 64.14 65.640
## cvpred      66.16 66.86 66.92 65.246 70.36 66.2 68.15 65.616 66.12 64.08 65.594
## overall     65.00 65.00 65.00 65.000 65.00 65.0 65.00 65.000 65.00 65.00 65.000
## CV residual -1.16 -1.86 -1.92 -0.246 -5.36 -1.2 -3.15 -0.616 -1.12  0.92 -0.594
##               5731   5744  5745  5747  5762  5769  5776  5781   5786   5842
## Predicted   64.741 65.918 70.21 66.19 66.93 62.74 66.73 67.45 64.612 64.178
## cvpred      64.782 65.929 70.21 66.23 66.89 62.68 66.84 67.43 64.716 64.244
## overall     65.000 65.000 65.00 65.00 65.00 65.00 65.00 64.00 64.000 64.000
## CV residual  0.218 -0.929 -5.21 -1.23 -1.89  2.32 -1.84 -3.43 -0.716 -0.244
##              5857  5878  5908   5927  5947  5957  5990  6014 6022   6034  6058
## Predicted   65.51 60.77 67.32 64.361 62.28 67.43 60.68 66.02 65.7 63.469 67.22
## cvpred      65.56 60.96 67.35 64.368 62.33 67.45 60.72 66.05 65.6 63.493 67.28
## overall     64.00 64.00 64.00 64.000 64.00 64.00 64.00 64.00 64.0 64.000 64.00
## CV residual -1.56  3.04 -3.35 -0.368  1.67 -3.45  3.28 -2.05 -1.6  0.507 -3.28
##               6076  6083  6093   6114   6123  6137  6138   6162  6165  6176
## Predicted   63.850 69.67 68.39 64.186 64.714 66.26 62.67 63.622 67.01 66.80
## cvpred      63.859 69.73 68.43 64.183 64.645 66.28 62.73 63.622 66.94 66.87
## overall     64.000 64.00 64.00 64.000 64.000 64.00 64.00 64.000 64.00 63.00
## CV residual  0.141 -5.73 -4.43 -0.183 -0.645 -2.28  1.27  0.378 -2.94 -3.87
##              6177    6180  6187  6210  6211  6246 6280  6283   6286  6358
## Predicted   61.80 62.8895 61.79 65.42 64.50 62.04 66.6 66.15 63.882 61.49
## cvpred      61.84 62.9694 61.73 65.45 64.67 62.07 66.7 66.15 63.898 61.58
## overall     63.00 63.0000 63.00 63.00 63.00 63.00 63.0 63.00 63.000 63.00
## CV residual  1.16  0.0306  1.27 -2.45 -1.67  0.93 -3.7 -3.15 -0.898  1.42
##               6407  6420  6423   6428  6432   6444  6462   6496  6516  6517
## Predicted   62.550 67.17 66.01 63.144 64.88 62.787 64.85 62.447 63.63 65.79
## cvpred      62.544 67.12 65.93 63.114 64.86 62.796 64.87 62.523 63.67 65.87
## overall     63.000 63.00 63.00 63.000 63.00 63.000 63.00 62.000 62.00 62.00
## CV residual  0.456 -4.12 -2.93 -0.114 -1.86  0.204 -1.87 -0.523 -1.67 -3.87
##              6527  6550   6560  6611  6622  6625  6649 6650  6657    6668
## Predicted   60.93 64.54 62.461 65.66 63.58 55.66 62.98   65 63.75 62.0232
## cvpred      60.93 64.55 62.522 65.64 63.58 55.74 63.06   65 63.81 61.9864
## overall     62.00 62.00 62.000 62.00 62.00 62.00 62.00   62 62.00 62.0000
## CV residual  1.07 -2.55 -0.522 -3.64 -1.58  6.26 -1.06   -3 -1.81  0.0136
##                6684  6690   6711 6747   6750   6757 6764  6778  6803  6815
## Predicted   62.1361 63.71 61.770 61.7 61.128 61.557 62.3 64.16 62.33 63.78
## cvpred      62.0116 63.68 61.813 61.8 61.197 61.617 62.3 64.12 62.35 63.79
## overall     62.0000 62.00 61.000 61.0 61.000 61.000 61.0 61.00 61.00 61.00
## CV residual -0.0116 -1.68 -0.813 -0.8 -0.197 -0.617 -1.3 -3.12 -1.35 -2.79
##              6843  6844   6850  6863  6873  6876  6901  6911   6920   6932
## Predicted   63.43 63.60 61.503 58.24 62.47 63.12 64.70 63.05 59.612 60.585
## cvpred      63.42 63.57 61.564 58.27 62.46 63.14 64.76 63.09 59.704 60.634
## overall     61.00 61.00 61.000 60.00 60.00 60.00 60.00 60.00 60.000 60.000
## CV residual -2.42 -2.57 -0.564  1.73 -2.46 -3.14 -4.76 -3.09  0.296 -0.634
##              6955 6956   6962   6972  6976    6998   7007  7008  7010  7028
## Predicted   62.69 62.6 58.984 60.736 54.45 58.9575 59.947 60.31 61.37 60.08
## cvpred      62.68 62.6 59.053 60.675 54.48 58.9667 59.956 60.35 61.45 60.14
## overall     60.00 60.0 60.000 60.000 60.00 59.0000 59.000 59.00 59.00 59.00
## CV residual -2.68 -2.6  0.947 -0.675  5.52  0.0333 -0.956 -1.35 -2.45 -1.14
##              7032   7065  7081  7091  7094  7099  7159  7166  7171  7212  7214
## Predicted   61.68 59.907 59.94 61.35 59.23 59.48 59.03 59.85 60.55 57.07 57.52
## cvpred      61.76 59.958 59.91 61.47 59.25 59.53 59.08 59.87 60.59 57.11 57.57
## overall     59.00 59.000 58.00 58.00 58.00 58.00 57.00 57.00 57.00 55.00 55.00
## CV residual -2.76 -0.958 -1.91 -3.47 -1.25 -1.53 -2.08 -2.87 -3.59 -2.11 -2.57
##              7216 7248
## Predicted   56.32 43.8
## cvpred      56.52 44.0
## overall     55.00 52.0
## CV residual -1.52  8.0
## 
## Sum of squares = 2618    Mean square = 4.81    n = 544 
## 
## fold 3 
## Observations in test set: 544 
##                 9    25    28    44    61    72    98    103   116   124   142
## Predicted   86.33 86.54 83.24 82.32 84.22 83.51 82.10 83.448 79.42 82.11 79.12
## cvpred      86.39 86.58 83.29 82.29 84.19 83.46 82.08 83.254 79.41 82.14 79.07
## overall     90.00 88.00 88.00 87.00 86.00 85.00 84.00 84.000 84.00 84.00 83.00
## CV residual  3.61  1.42  4.71  4.71  1.81  1.54  1.92  0.746  4.59  1.86  3.93
##               149   152   183   191   200   210   224  243   274   283   288
## Predicted   81.41 79.84 80.13 78.02 79.73 80.30 81.03 80.4 75.57 80.01 75.34
## cvpred      81.46 79.81 80.07 77.97 79.72 80.27 81.08 80.4 75.54 79.95 75.25
## overall     83.00 83.00 83.00 83.00 82.00 82.00 82.00 82.0 81.00 81.00 81.00
## CV residual  1.54  3.19  2.93  5.03  2.28  1.73  0.92  1.6  5.46  1.05  5.75
##               296    299   325   338  342   344   392    410    411   421  423
## Predicted   78.58 80.497 78.70 78.80 81.3 77.67 76.50 80.719 80.698 74.62 79.5
## cvpred      78.59 80.565 78.77 78.75 81.3 77.65 76.49 80.757 80.683 74.68 79.4
## overall     81.00 81.000 80.00 80.00 80.0 80.00 80.00 80.000 80.000 80.00 80.0
## CV residual  2.41  0.435  1.23  1.25 -1.3  2.35  3.51 -0.757 -0.683  5.32  0.6
##                424   446   453   480    502   541     552   555   566   581
## Predicted   79.211 76.66 76.64 76.02 78.748 77.75 77.8224 79.11 74.67 70.99
## cvpred      79.215 76.72 76.65 76.07 78.821 77.73 77.9237 79.13 74.72 70.93
## overall     80.000 79.00 79.00 79.00 79.000 79.00 78.0000 78.00 78.00 78.00
## CV residual  0.785  2.28  2.35  2.93  0.179  1.27  0.0763 -1.13  3.28  7.07
##              592   599    618   634   643   650   654   662   663   674    678
## Predicted   75.5 79.60 77.343 77.59 75.15 75.20 79.81 76.90 76.38 78.57 77.221
## cvpred      75.5 79.48 77.312 77.55 74.98 75.27 79.83 76.95 76.29 78.65 77.189
## overall     78.0 78.00 78.000 78.00 78.00 78.00 78.00 78.00 78.00 78.00 78.000
## CV residual  2.5 -1.48  0.688  0.45  3.02  2.73 -1.83  1.05  1.71 -0.65  0.811
##                 679   694   708    716   735    745    751  753    756   774
## Predicted   78.0368 73.90 74.70 76.751 78.84 78.001 77.251 73.2 76.143 69.65
## cvpred      78.0653 73.83 74.77 76.759 78.91 77.934 77.284 73.3 76.098 69.55
## overall     78.0000 78.00 78.00 77.000 77.00 77.000 77.000 77.0 77.000 77.00
## CV residual -0.0653  4.17  3.23  0.241 -1.91 -0.934 -0.284  3.7  0.902  7.45
##                808   839    866    914   917    926    969   979    985   1014
## Predicted   77.899 75.40 76.345 75.520 67.40 75.441 76.304 74.94 75.405 75.298
## cvpred      77.958 75.32 76.264 75.569 67.35 75.539 76.299 74.91 75.468 75.272
## overall     77.000 77.00 76.000 76.000 76.00 76.000 76.000 76.00 76.000 76.000
## CV residual -0.958  1.68 -0.264  0.431  8.65  0.461 -0.299  1.09  0.532  0.728
##               1021 1040   1047   1093   1097   1104  1107  1112  1115  1116
## Predicted   76.272 74.7 76.538 75.333 74.232 76.008 73.09 73.51 72.44 72.87
## cvpred      76.182 74.7 76.458 75.341 74.258 75.916 73.08 73.51 72.46 72.86
## overall     76.000 76.0 76.000 75.000 75.000 75.000 75.00 75.00 75.00 75.00
## CV residual -0.182  1.3 -0.458 -0.341  0.742 -0.916  1.92  1.49  2.54  2.14
##               1138  1161  1162  1163   1197   1204  1210  1231  1235  1236
## Predicted   74.547 76.05 73.55 73.81 74.058 75.729 76.46 72.68 73.53 72.38
## cvpred      74.549 76.08 73.54 73.85 74.079 75.697 76.45 72.72 73.49 72.34
## overall     75.000 75.00 75.00 75.00 75.000 75.000 75.00 75.00 75.00 75.00
## CV residual  0.451 -1.08  1.46  1.15  0.921 -0.697 -1.45  2.28  1.51  2.66
##               1237  1238 1249   1297  1319 1352   1361   1366  1368  1397
## Predicted   74.841 71.77 77.1 75.459 73.36 73.9 74.164 73.194 73.00 73.08
## cvpred      74.871 71.74 77.2 75.562 73.43 74.0 74.141 73.152 72.93 72.98
## overall     75.000 75.00 75.0 75.000 75.00 75.0 74.000 74.000 74.00 74.00
## CV residual  0.129  3.26 -2.2 -0.562  1.57  1.0 -0.141  0.848  1.07  1.02
##               1403   1404   1416   1417  1431  1441   1451 1454  1477   1485
## Predicted   73.831 73.299 74.956 74.329 72.52 72.24 74.241 63.4 67.41 73.063
## cvpred      73.859 73.304 74.895 74.344 72.51 72.31 74.252 63.4 67.53 73.053
## overall     74.000 74.000 74.000 74.000 74.00 74.00 74.000 74.0 74.00 74.000
## CV residual  0.141  0.696 -0.895 -0.344  1.49  1.69 -0.252 10.6  6.47  0.947
##              1508  1511  1512 1534 1537  1546   1557 1571  1589  1590   1595
## Predicted   76.33 77.73 75.01 75.5 75.6 72.19 73.313 71.7 72.85 70.35 74.901
## cvpred      76.38 77.76 75.06 75.5 75.6 72.21 73.296 71.8 72.85 70.27 74.935
## overall     74.00 74.00 74.00 74.0 74.0 74.00 74.000 74.0 74.00 74.00 74.000
## CV residual -2.38 -3.76 -1.06 -1.5 -1.6  1.79  0.704  2.2  1.15  3.73 -0.935
##              1621   1639  1642    1643   1644   1657   1669   1685  1715   1726
## Predicted   76.39 73.406 72.94 74.0180 73.549 72.432 72.557 72.107 71.52 72.174
## cvpred      76.45 73.276 72.92 74.0194 73.536 72.509 72.489 72.156 71.44 72.222
## overall     74.00 74.000 74.00 74.0000 74.000 73.000 73.000 73.000 73.00 73.000
## CV residual -2.45  0.724  1.08 -0.0194  0.464  0.491  0.511  0.844  1.56  0.778
##                1730   1763   1789   1799  1834  1840   1846  1855  1866 1881
## Predicted   73.0097 72.076 72.455 73.405 69.96 74.10 73.369 71.49 76.19 71.4
## cvpred      73.0508 72.217 72.373 73.432 69.84 74.16 73.347 71.44 76.16 71.4
## overall     73.0000 73.000 73.000 73.000 73.00 73.00 73.000 73.00 73.00 73.0
## CV residual -0.0508  0.783  0.627 -0.432  3.16 -1.16 -0.347  1.56 -3.16  1.6
##              1888  1893  1899   1904   1938  1949  1958    1983  1996  2008
## Predicted   75.58 74.07 75.23 73.329 72.256 76.42 70.61 72.9397 70.54 70.75
## cvpred      75.53 74.09 75.22 73.334 72.274 76.49 70.64 73.0367 70.66 70.69
## overall     73.00 73.00 73.00 73.000 73.000 73.00 73.00 73.0000 73.00 73.00
## CV residual -2.53 -1.09 -2.22 -0.334  0.726 -3.49  2.36 -0.0367  2.34  2.31
##               2068  2071  2072   2083    2091  2092  2098  2104  2142  2158
## Predicted   72.723 69.30 70.55 72.585 71.9691 69.12 73.42 66.74 74.73 69.90
## cvpred      72.766 69.22 70.49 72.491 71.9128 69.18 73.41 66.61 74.68 69.86
## overall     72.000 72.00 72.00 72.000 72.0000 72.00 72.00 72.00 72.00 72.00
## CV residual -0.766  2.78  1.51 -0.491  0.0872  2.82 -1.41  5.39 -2.68  2.14
##              2232   2257  2270  2273   2285   2289  2294  2312  2316  2334
## Predicted   73.20 72.975 74.13 74.04 71.294 71.446 70.65 73.42 74.23 73.07
## cvpred      73.15 72.962 74.09 74.08 71.355 71.504 70.45 73.31 74.27 73.22
## overall     72.00 72.000 72.00 72.00 72.000 72.000 72.00 72.00 72.00 72.00
## CV residual -1.15 -0.962 -2.09 -2.08  0.645  0.496  1.55 -1.31 -2.27 -1.22
##               2335  2351  2375  2387  2401  2409  2422  2423  2427   2431
## Predicted   73.022 73.29 67.81 64.06 67.20 70.59 66.37 68.38 69.16 72.751
## cvpred      72.939 73.29 67.99 63.92 67.12 70.65 66.53 68.34 69.25 72.733
## overall     72.000 72.00 72.00 72.00 72.00 72.00 72.00 72.00 72.00 72.000
## CV residual -0.939 -1.29  4.01  8.08  4.88  1.35  5.47  3.66  2.75 -0.733
##               2433  2445   2450  2458  2469 2471   2477  2481   2492  2498
## Predicted   72.708 69.83 71.446 74.81 72.56 73.3 70.063 69.64 70.203 72.34
## cvpred      72.676 69.75 71.486 74.74 72.48 73.3 70.149 69.66 70.186 72.33
## overall     72.000 71.00 71.000 71.00 71.00 71.0 71.000 71.00 71.000 71.00
## CV residual -0.676  1.25 -0.486 -3.74 -1.48 -2.3  0.851  1.34  0.814 -1.33
##              2501 2529   2531   2536   2552  2573  2588  2645   2655   2671
## Predicted   72.23 65.5 71.163 71.831 71.694 68.67 73.31 68.86 70.263 71.852
## cvpred      72.26 65.3 71.127 71.898 71.674 68.63 73.34 68.83 70.255 71.825
## overall     71.00 71.0 71.000 71.000 71.000 71.00 71.00 71.00 71.000 71.000
## CV residual -1.26  5.7 -0.127 -0.898 -0.674  2.37 -2.34  2.17  0.745 -0.825
##              2677  2678  2686   2690  2692  2700  2709  2754   2760  2761  2767
## Predicted   67.52 72.88 70.98 71.684 68.46 72.68 74.36 72.72 71.613 69.17 73.27
## cvpred      67.59 72.91 70.82 71.699 68.41 72.66 74.29 72.75 71.737 69.29 73.33
## overall     71.00 71.00 71.00 71.000 71.00 71.00 71.00 71.00 71.000 71.00 71.00
## CV residual  3.41 -1.91  0.18 -0.699  2.59 -1.66 -3.29 -1.75 -0.737  1.71 -2.33
##              2771  2788  2810  2811  2847  2861  2870  2894   2895   2907  2914
## Predicted   69.14 72.08 72.90 69.81 69.94 68.27 68.63 71.19 70.280 69.024 68.43
## cvpred      69.12 72.11 72.98 69.82 69.78 68.28 68.59 71.15 70.274 69.034 68.39
## overall     71.00 71.00 71.00 71.00 71.00 71.00 71.00 70.00 70.000 70.000 70.00
## CV residual  1.88 -1.11 -1.98  1.18  1.22  2.72  2.41 -1.15 -0.274  0.966  1.61
##               2948   2983   3026   3030  3037  3044  3048  3052    3055   3078
## Predicted   70.766 69.460 70.765 70.757 72.82 73.30 67.69 68.63 70.1533 70.365
## cvpred      70.806 69.495 70.808 70.781 72.84 73.36 67.83 68.56 70.0283 70.208
## overall     70.000 70.000 70.000 70.000 70.00 70.00 70.00 70.00 70.0000 70.000
## CV residual -0.806  0.505 -0.808 -0.781 -2.84 -3.36  2.17  1.44 -0.0283 -0.208
##               3083   3085   3125  3193  3196   3203 3235    3258  3293  3328
## Predicted   69.300 70.564 70.193 70.78 73.42 69.251 71.5 69.9778 66.21 67.47
## cvpred      69.234 70.592 70.212 70.88 73.54 69.261 71.5 70.0742 66.15 67.29
## overall     70.000 70.000 70.000 70.00 70.00 70.000 70.0 70.0000 70.00 70.00
## CV residual  0.766 -0.592 -0.212 -0.88 -3.54  0.739 -1.5 -0.0742  3.85  2.71
##               3341   3358  3369  3385  3389  3395   3414  3433  3459  3472
## Predicted   70.920 70.551 74.59 67.31 66.41 66.77 69.276 69.31 71.22 63.33
## cvpred      70.825 70.504 74.51 67.29 66.54 66.77 69.266 69.38 71.18 63.19
## overall     70.000 70.000 70.00 69.00 69.00 69.00 69.000 69.00 69.00 69.00
## CV residual -0.825 -0.504 -4.51  1.71  2.46  2.23 -0.266 -0.38 -2.18  5.81
##               3480  3534    3547  3548  3552   3558  3560  3566   3585  3632
## Predicted   69.641 64.82 68.9619 67.71 67.59 69.610 70.16 70.23 69.569 70.87
## cvpred      69.598 64.74 69.0596 67.69 67.56 69.617 70.07 70.16 69.626 70.85
## overall     69.000 69.00 69.0000 69.00 69.00 69.000 69.00 69.00 69.000 69.00
## CV residual -0.598  4.26 -0.0596  1.31  1.44 -0.617 -1.07 -1.16 -0.626 -1.85
##              3656  3667     3737  3753   3754   3755  3757  3772  3773  3775
## Predicted   70.83 66.54 68.98542 70.25 69.142 69.176 71.99 66.90 70.60 71.85
## cvpred      70.83 66.39 69.00351 70.23 69.134 69.226 72.11 66.99 70.64 71.79
## overall     69.00 69.00 69.00000 69.00 69.000 69.000 69.00 69.00 69.00 69.00
## CV residual -1.83  2.61 -0.00351 -1.23 -0.134 -0.226 -3.11  2.01 -1.64 -2.79
##               3779  3782  3790  3797   3807  3808   3813  3824  3833  3841
## Predicted   68.369 67.96 71.47 71.27 69.710 67.80 69.793 70.86 67.80 66.06
## cvpred      68.363 67.93 71.36 71.31 69.653 67.75 69.852 70.88 67.83 66.05
## overall     69.000 69.00 69.00 69.00 69.000 69.00 69.000 69.00 69.00 68.00
## CV residual  0.637  1.07 -2.36 -2.31 -0.653  1.25 -0.852 -1.88  1.17  1.95
##              3845  3855   3864  3876  3879   3882  3895  3899  3913  3922
## Predicted   66.54 69.41 68.863 69.39 66.40 67.567 65.25 65.30 69.90 71.41
## cvpred      66.54 69.43 68.887 69.44 66.42 67.572 65.26 65.34 69.91 71.39
## overall     68.00 68.00 68.000 68.00 68.00 68.000 68.00 68.00 68.00 68.00
## CV residual  1.46 -1.43 -0.887 -1.44  1.58  0.428  2.74  2.66 -1.91 -3.39
##               3932   3940   3952  3955 3974  3989  3992  3995   4005  4006
## Predicted   68.486 68.593 68.272 64.96 63.6 63.61 66.13 65.90 67.291 65.75
## cvpred      68.522 68.679 68.314 64.97 63.5 63.66 66.08 66.02 67.269 65.69
## overall     68.000 68.000 68.000 68.00 68.0 68.00 68.00 68.00 68.000 68.00
## CV residual -0.522 -0.679 -0.314  3.03  4.5  4.34  1.92  1.98  0.731  2.31
##              4010  4026  4029  4038   4043  4048  4052  4066   4075 4076 4084
## Predicted   66.43 69.45 69.41 71.41 68.222 66.94 66.08 71.10 68.490 66.5 72.3
## cvpred      66.39 69.55 69.45 71.38 68.293 67.02 65.97 70.96 68.629 66.5 72.4
## overall     68.00 68.00 68.00 68.00 68.000 68.00 68.00 68.00 68.000 68.0 68.0
## CV residual  1.61 -1.55 -1.45 -3.38 -0.293  0.98  2.03 -2.96 -0.629  1.5 -4.4
##              4095  4117 4119  4140 4145  4149  4160  4167  4183  4184   4188
## Predicted   65.43 69.06 70.6 70.21 70.5 70.50 70.81 70.77 70.25 71.41 68.468
## cvpred      65.21 69.19 70.6 70.28 70.6 70.51 70.87 70.79 70.24 71.52 68.481
## overall     68.00 68.00 68.0 68.00 68.0 68.00 68.00 68.00 68.00 68.00 68.000
## CV residual  2.79 -1.19 -2.6 -2.28 -2.6 -2.51 -2.87 -2.79 -2.24 -3.52 -0.481
##              4193   4229  4265   4273   4305 4321   4326  4334  4354   4366
## Predicted   70.54 67.671 66.09 68.746 68.869 71.1 68.642 65.85 72.37 66.776
## cvpred      70.45 67.615 66.04 68.705 68.926 71.1 68.554 65.63 72.38 66.825
## overall     68.00 68.000 68.00 68.000 68.000 68.0 68.000 68.00 67.00 67.000
## CV residual -2.45  0.385  1.96 -0.705 -0.926 -3.1 -0.554  2.37 -5.38  0.175
##              4371  4378   4386   4395  4402  4405 4416  4422   4430  4431
## Predicted   65.45 70.37 66.150 67.811 70.06 68.56 68.4 69.34 67.760 70.03
## cvpred      65.35 70.39 66.146 67.923 70.03 68.59 68.4 69.39 67.649 69.98
## overall     67.00 67.00 67.000 67.000 67.00 67.00 67.0 67.00 67.000 67.00
## CV residual  1.65 -3.39  0.854 -0.923 -3.03 -1.59 -1.4 -2.39 -0.649 -2.98
##                4436  4453  4492   4493  4506  4563   4579  4588 4607 4629  4662
## Predicted   66.9553 67.99 62.49 66.337 69.81 64.02 67.501 68.08 65.1 68.8 62.21
## cvpred      67.0716 68.04 62.49 66.411 69.79 64.03 67.486 68.05 65.0 68.8 62.21
## overall     67.0000 67.00 67.00 67.000 67.00 67.00 67.000 67.00 67.0 67.0 67.00
## CV residual -0.0716 -1.04  4.51  0.589 -2.79  2.97 -0.486 -1.05  2.0 -1.8  4.79
##               4677    4678  4699  4703  4705  4716   4734  4742  4761  4795
## Predicted   66.910 67.0971 65.88 68.91 69.20 69.31 67.583 68.37 59.06 69.67
## cvpred      66.853 66.9506 65.77 68.84 69.25 69.34 67.526 68.48 59.08 69.66
## overall     67.000 67.0000 67.00 67.00 67.00 67.00 67.000 67.00 67.00 67.00
## CV residual  0.147  0.0494  1.23 -1.84 -2.25 -2.34 -0.526 -1.48  7.92 -2.66
##              4802  4803  4815   4817  4820 4821  4838  4850 4868   4876  4882
## Predicted   68.65 68.62 66.59 66.283 61.80 65.5 69.86 67.13 69.0 66.221 63.38
## cvpred      68.64 68.55 66.52 66.377 61.59 65.6 69.85 67.02 69.1 66.122 63.34
## overall     67.00 67.00 67.00 67.000 67.00 67.0 66.00 66.00 66.0 66.000 66.00
## CV residual -1.64 -1.55  0.48  0.623  5.41  1.4 -3.85 -1.02 -3.1 -0.122  2.66
##               4892  4893  4914   4917   4927  4930  4950   4959  4996  5017
## Predicted   66.465 67.01 68.67 66.818 66.625 67.64 67.32 65.244 63.76 63.64
## cvpred      66.465 67.05 68.74 66.772 66.643 67.68 67.37 65.241 63.77 63.58
## overall     66.000 66.00 66.00 66.000 66.000 66.00 66.00 66.000 66.00 66.00
## CV residual -0.465 -1.05 -2.74 -0.772 -0.643 -1.68 -1.37  0.759  2.23  2.42
##              5081  5093   5104  5109  5145 5231  5235   5243  5261 5265  5267
## Predicted   66.94 69.00 66.690 67.02 67.66 67.6 66.79 66.884 68.95 69.7 68.67
## cvpred      66.93 69.07 66.606 67.07 67.75 67.6 66.88 66.929 69.02 69.8 68.73
## overall     66.00 66.00 66.000 66.00 66.00 66.0 66.00 66.000 66.00 66.0 66.00
## CV residual -0.93 -3.07 -0.606 -1.07 -1.75 -1.6 -0.88 -0.929 -3.02 -3.8 -2.73
##               5277    5298  5303   5306  5323   5324 5334   5350   5357  5365
## Predicted   65.835 66.1353 68.65 66.816 66.31 65.251 66.7 65.973 64.792 66.05
## cvpred      65.706 66.0788 68.56 66.851 66.18 65.243 66.7 65.871 64.794 66.09
## overall     66.000 66.0000 66.00 66.000 65.00 65.000 65.0 65.000 65.000 65.00
## CV residual  0.294 -0.0788 -2.56 -0.851 -1.18 -0.243 -1.7 -0.871  0.206 -1.09
##               5378  5433  5456  5475  5480  5510  5542  5566  5569   5575
## Predicted   65.390 56.74 67.19 61.68 67.81 68.86 60.90 66.33 68.36 64.041
## cvpred      65.386 56.68 67.16 61.67 67.82 68.75 60.96 66.37 68.37 64.075
## overall     65.000 65.00 65.00 65.00 65.00 65.00 65.00 65.00 65.00 65.000
## CV residual -0.386  8.32 -2.16  3.33 -2.82 -3.75  4.04 -1.37 -3.37  0.925
##               5588  5601  5630  5638  5639  5691  5693  5736 5738  5758 5768
## Predicted   65.414 63.42 66.46 67.92 68.33 61.32 66.94 67.05 68.4 66.66 66.6
## cvpred      65.347 63.34 66.56 67.98 68.45 61.27 67.01 67.12 68.5 66.72 66.6
## overall     65.000 65.00 65.00 65.00 65.00 65.00 65.00 65.00 65.0 65.00 65.0
## CV residual -0.347  1.66 -1.56 -2.98 -3.45  3.73 -2.01 -2.12 -3.5 -1.72 -1.6
##               5771     5774 5778   5790  5798 5804  5834   5835  5846  5888
## Predicted   65.173 64.82209 63.9 63.390 62.37 60.6 63.02 64.787 66.95 65.42
## cvpred      65.273 64.99467 63.8 63.438 62.25 60.6 63.06 64.787 66.97 65.37
## overall     65.000 65.00000 65.0 64.000 64.00 64.0 64.00 64.000 64.00 64.00
## CV residual -0.273  0.00533  1.2  0.562  1.75  3.4  0.94 -0.787 -2.97 -1.37
##              5901  5912   5913  5926  5929   5968   5972   5988 6012   6018
## Predicted   61.90 65.45 64.541 66.61 68.11 63.486 64.410 63.373 65.6 63.383
## cvpred      61.89 65.43 64.469 66.68 68.12 63.294 64.574 63.342 65.6 63.398
## overall     64.00 64.00 64.000 64.00 64.00 64.000 64.000 64.000 64.0 64.000
## CV residual  2.11 -1.43 -0.469 -2.68 -4.12  0.706 -0.574  0.658 -1.6  0.602
##              6047  6056  6084  6097  6125   6132  6141   6178  6183     6196
## Predicted   67.33 66.98 68.80 65.88 69.92 64.611 63.54 63.800 65.54 62.94365
## cvpred      67.24 66.98 68.82 65.93 69.92 64.577 63.54 63.996 65.59 63.00662
## overall     64.00 64.00 64.00 64.00 64.00 64.000 64.00 63.000 63.00 63.00000
## CV residual -3.24 -2.98 -4.82 -1.93 -5.92 -0.577  0.46 -0.996 -2.59 -0.00662
##              6231 6244  6288  6292   6314  6396   6409  6419  6422  6429   6430
## Predicted   65.03 61.7 61.53 65.35 62.589 66.65 62.173 67.32 69.47 64.93 63.169
## cvpred      65.03 61.7 61.46 65.18 62.613 66.57 62.208 67.25 69.44 65.04 63.336
## overall     63.00 63.0 63.00 63.00 63.000 63.00 63.000 63.00 63.00 63.00 63.000
## CV residual -2.03  1.3  1.54 -2.18  0.387 -3.57  0.792 -4.25 -6.44 -2.04 -0.336
##              6434   6446  6447  6469    6477  6479 6483   6484  6509  6519
## Predicted   66.48 63.355 64.44 59.16 62.1406 65.03 65.6 61.087 66.33 65.52
## cvpred      66.57 63.429 64.36 58.98 62.0927 64.96 65.3 61.079 66.26 65.46
## overall     63.00 63.000 63.00 62.00 62.0000 62.00 62.0 62.000 62.00 62.00
## CV residual -3.57 -0.429 -1.36  3.02 -0.0927 -2.96 -3.3  0.921 -4.26 -3.46
##              6538  6541   6567  6571 6601  6602  6617  6652  6656  6691   6696
## Predicted   65.07 65.80 61.980 63.78 53.3 63.55 63.86 64.12 63.60 63.84 62.437
## cvpred      64.99 65.75 61.881 63.79 53.2 63.55 63.77 64.01 63.53 63.71 62.525
## overall     62.00 62.00 62.000 62.00 62.0 62.00 62.00 62.00 62.00 62.00 62.000
## CV residual -2.99 -3.75  0.119 -1.79  8.8 -1.55 -1.77 -2.01 -1.53 -1.71 -0.525
##              6704  6708  6719    6724  6751  6758   6760  6763 6767   6782
## Predicted   64.28 58.87 59.25 61.0518 58.98 59.88 61.263 64.00 62.4 61.378
## cvpred      64.31 58.86 59.16 61.0793 58.89 59.95 61.282 64.08 62.5 61.351
## overall     61.00 61.00 61.00 61.0000 61.00 61.00 61.000 61.00 61.0 61.000
## CV residual -3.31  2.14  1.84 -0.0793  2.11  1.05 -0.282 -3.08 -1.5 -0.351
##              6809  6821  6822  6838  6847  6853  6857   6859  6861  6938  6978
## Predicted   63.07 59.73 63.27 64.57 62.48 58.08 60.33 60.627 61.43 64.02 60.98
## cvpred      63.01 59.72 63.19 64.58 62.43 58.14 60.26 60.535 61.42 64.04 60.98
## overall     61.00 61.00 61.00 61.00 61.00 60.00 60.00 60.000 60.00 60.00 59.00
## CV residual -2.01  1.28 -2.19 -3.58 -1.43  1.86 -0.26 -0.535 -1.42 -4.04 -1.98
##               6982  6996 7001  7005   7019  7022  7023   7029  7040  7051
## Predicted   58.806 60.15 61.9 62.19 59.588 61.74 63.44 58.462 60.79 62.24
## cvpred      58.802 60.12 61.9 62.18 59.606 61.73 63.45 58.436 60.64 62.07
## overall     59.000 59.00 59.0 59.00 59.000 59.00 59.00 59.000 59.00 59.00
## CV residual  0.198 -1.12 -2.9 -3.18 -0.606 -2.73 -4.45  0.564 -1.64 -3.07
##               7054  7058  7085  7089 7097   7098 7111  7122  7143  7148  7163
## Predicted   59.812 61.00 59.32 57.08 60.7 58.225 61.2 61.89 58.53 60.54 61.77
## cvpred      59.808 61.03 59.34 56.96 60.7 58.219 61.4 62.03 58.55 60.52 61.79
## overall     59.000 59.00 58.00 58.00 58.0 58.000 58.0 58.00 57.00 57.00 57.00
## CV residual -0.808 -2.03 -1.34  1.04 -2.7 -0.219 -3.4 -4.03 -1.55 -3.52 -4.79
##              7178   7187    7228   7236  7241  7244   7252
## Predicted   61.82 56.364 53.9674 54.676 52.00 54.75 50.371
## cvpred      61.73 56.342 53.9814 54.683 51.92 54.77 50.401
## overall     57.00 56.000 54.0000 54.000 53.00 53.00 51.000
## CV residual -4.73 -0.342  0.0186 -0.683  1.08 -1.77  0.599
## 
## Sum of squares = 3122    Mean square = 5.74    n = 544 
## 
## fold 4 
## Observations in test set: 544 
##                3   34    37    38    56    60   64   74    95   105   120   132
## Predicted   85.7 83.9 83.05 83.10 84.79 82.77 84.0 80.6 80.98 81.11 82.60 80.41
## cvpred      85.6 83.8 82.91 82.99 84.73 82.66 83.9 80.5 80.84 80.97 82.52 80.31
## overall     92.0 88.0 88.00 88.00 86.00 86.00 86.0 85.0 84.00 84.00 84.00 83.00
## CV residual  6.4  4.2  5.09  5.01  1.27  3.34  2.1  4.5  3.16  3.03  1.48  2.69
##               144   166   182   188   197  201   226   230     242   273    291
## Predicted   79.56 81.45 80.58 81.55 78.42 79.4 81.05 75.47 82.0611 78.78 80.631
## cvpred      79.42 81.36 80.48 81.49 78.29 79.2 80.95 75.47 81.9636 78.73 80.551
## overall     83.00 83.00 83.00 83.00 82.00 82.0 82.00 82.00 82.0000 81.00 81.000
## CV residual  3.58  1.64  2.52  1.51  3.71  2.8  1.05  6.53  0.0364  2.27  0.449
##               308   309   311   326    327   343   356   360   366   377    390
## Predicted   75.21 78.08 74.20 78.81 79.965 76.19 76.76 79.03 76.41 73.76 79.457
## cvpred      75.17 78.01 74.18 78.63 79.909 76.11 76.72 78.87 76.35 73.77 79.337
## overall     81.00 81.00 81.00 80.00 80.000 80.00 80.00 80.00 80.00 80.00 80.000
## CV residual  5.83  2.99  6.82  1.37  0.091  3.89  3.28  1.13  3.65  6.23  0.663
##                430    435    439   443   444    454   457    464  467   483
## Predicted   79.266 78.741 79.473 75.45 75.99 78.198 77.89 78.645 77.1 73.49
## cvpred      79.138 78.559 79.367 75.31 75.83 78.029 77.75 78.469 77.0 73.52
## overall     79.000 79.000 79.000 79.00 79.00 79.000 79.00 79.000 79.0 79.00
## CV residual -0.138  0.441 -0.367  3.69  3.17  0.971  1.25  0.531  2.0  5.48
##                488   498   506   516   561    597   598    600   612   623
## Predicted   79.620 77.49 76.95 76.23 75.36 77.513 77.09 77.100 76.92 76.44
## cvpred      79.513 77.48 76.81 76.27 75.32 77.437 76.99 77.003 76.89 76.33
## overall     79.000 79.00 79.00 79.00 78.00 78.000 78.00 78.000 78.00 78.00
## CV residual -0.513  1.52  2.19  2.73  2.68  0.563  1.01  0.997  1.11  1.67
##                661   665    670   675    701   715   736   741    743    749
## Predicted   77.399 78.76 78.464 72.66 78.764 78.35 75.99 74.21 77.936 76.060
## cvpred      77.267 78.69 78.383 72.69 78.665 78.29 75.86 74.14 77.773 76.036
## overall     78.000 78.00 78.000 78.00 78.000 77.00 77.00 77.00 77.000 77.000
## CV residual  0.733 -0.69 -0.383  5.31 -0.665 -1.29  1.14  2.86 -0.773  0.964
##               758    762    784    826    847    875   882    884    898    916
## Predicted   72.58 77.710 77.825 76.620 76.771 75.406 70.97 75.120 76.782 75.106
## cvpred      72.56 77.637 77.691 76.569 76.683 75.299 70.99 75.072 76.646 75.023
## overall     77.00 77.000 77.000 77.000 77.000 76.000 76.00 76.000 76.000 76.000
## CV residual  4.44 -0.637 -0.691  0.431  0.317  0.701  5.01  0.928 -0.646  0.977
##               923    933   934    956   966   972    977   981    988   996
## Predicted   71.72 75.460 78.02 77.009 74.95 78.46 75.385 74.38 76.162 72.92
## cvpred      71.72 75.335 77.92 76.929 74.94 78.44 75.353 74.49 76.134 72.91
## overall     76.00 76.000 76.00 76.000 76.00 76.00 76.000 76.00 76.000 76.00
## CV residual  4.28  0.665 -1.92 -0.929  1.06 -2.44  0.647  1.51 -0.134  3.09
##              1012  1032   1073  1079  1081  1082  1114  1118    1120  1125
## Predicted   70.36 73.94 76.792 72.71 72.45 71.12 69.30 73.11 75.0447 73.84
## cvpred      70.39 73.99 76.812 72.68 72.39 71.05 69.35 73.03 74.9671 73.76
## overall     76.00 76.00 76.000 75.00 75.00 75.00 75.00 75.00 75.0000 75.00
## CV residual  5.61  2.01 -0.812  2.32  2.61  3.95  5.65  1.97  0.0329  1.24
##              1140  1158   1165  1170 1199  1216   1221   1250  1272   1275
## Predicted   74.31 73.00 75.750 72.33   77 73.84 74.908 74.120 73.91 74.371
## cvpred      74.34 72.92 75.669 72.21   77 73.81 74.872 74.103 73.84 74.282
## overall     75.00 75.00 75.000 75.00   75 75.00 75.000 75.000 75.00 75.000
## CV residual  0.66  2.08 -0.669  2.79   -2  1.19  0.128  0.897  1.16  0.718
##               1279  1290   1311   1328   1331   1347  1357  1372  1375   1376
## Predicted   74.324 76.26 74.572 74.704 75.683 74.713 71.43 72.47 75.42 73.285
## cvpred      74.306 76.26 74.538 74.666 75.611 74.764 71.41 72.35 75.33 73.213
## overall     75.000 75.00 75.000 75.000 75.000 75.000 75.00 74.00 74.00 74.000
## CV residual  0.694 -1.26  0.462  0.334 -0.611  0.236  3.59  1.65 -1.33  0.787
##              1388  1393   1396 1408  1409  1481   1495   1502  1526   1538
## Predicted   70.61 71.86 73.977 77.3 69.88 75.32 74.608 73.720 71.97 73.067
## cvpred      70.62 71.73 73.912 77.3 69.84 75.29 74.623 73.644 71.97 73.023
## overall     74.00 74.00 74.000 74.0 74.00 74.00 74.000 74.000 74.00 74.000
## CV residual  3.38  2.27  0.088 -3.3  4.16 -1.29 -0.623  0.356  2.03  0.977
##               1554   1562  1575   1579  1591   1594  1598 1603   1604  1612
## Predicted   74.805 73.789 71.02 74.801 72.16 73.457 72.90 71.6 74.585 72.17
## cvpred      74.725 73.775 71.01 74.752 72.13 73.445 72.92 71.6 74.687 72.16
## overall     74.000 74.000 74.00 74.000 74.00 74.000 74.00 74.0 74.000 74.00
## CV residual -0.725  0.225  2.99 -0.752  1.87  0.555  1.08  2.4 -0.687  1.84
##              1629  1640  1650  1660   1662  1670   1674   1711  1740   1741
## Predicted   75.85 71.28 69.97 75.06 72.875 69.45 72.362 72.096 70.96 72.159
## cvpred      75.86 71.32 69.92 74.94 72.823 69.44 72.214 72.003 70.99 72.131
## overall     74.00 74.00 74.00 73.00 73.000 73.00 73.000 73.000 73.00 73.000
## CV residual -1.86  2.68  4.08 -1.94  0.177  3.56  0.786  0.997  2.01  0.869
##               1742   1747  1750   1788  1797   1802   1805   1843  1853    1871
## Predicted   72.697 72.667 74.62 73.522 74.25 72.057 73.760 73.733 76.32 72.9407
## cvpred      72.617 72.623 74.53 73.406 74.17 72.033 73.792 73.717 76.29 72.9067
## overall     73.000 73.000 73.00 73.000 73.00 73.000 73.000 73.000 73.00 73.0000
## CV residual  0.383  0.377 -1.53 -0.406 -1.17  0.967 -0.792 -0.717 -3.29  0.0933
##              1876   1903  1947 1962   1963  1998  1999  2016    2053  2062
## Predicted   74.41 73.738 74.30 74.7 73.570 70.22 71.38 67.89 72.0923 70.65
## cvpred      74.35 73.711 74.35 74.7 73.521 70.29 71.31 67.87 72.0323 70.66
## overall     73.00 73.000 73.00 73.0 73.000 73.00 73.00 73.00 72.0000 72.00
## CV residual -1.35 -0.711 -1.35 -1.7 -0.521  2.71  1.69  5.13 -0.0323  1.34
##              2074  2084   2096  2102   2124   2133  2148   2151  2163  2170
## Predicted   73.89 73.37 71.285 73.12 71.823 71.420 71.01 72.544 67.35 73.14
## cvpred      73.83 73.27 71.177 73.03 71.803 71.467 70.96 72.525 67.29 73.07
## overall     72.00 72.00 72.000 72.00 72.000 72.000 72.00 72.000 72.00 72.00
## CV residual -1.83 -1.27  0.823 -1.03  0.197  0.533  1.04 -0.525  4.71 -1.07
##               2200  2211    2234   2255   2262   2275   2279   2308  2323  2325
## Predicted   72.779 70.63 71.9791 71.630 72.204 71.210 72.784 71.879 71.81 70.73
## cvpred      72.686 70.65 71.9465 71.613 72.188 71.251 72.708 71.741 71.83 70.72
## overall     72.000 72.00 72.0000 72.000 72.000 72.000 72.000 72.000 72.00 72.00
## CV residual -0.686  1.35  0.0535  0.387 -0.188  0.749 -0.708  0.259  0.17  1.28
##             2337  2360   2364  2368   2381  2383  2391  2425   2430  2467  2488
## Predicted   73.7 73.06 71.723 70.17 72.914 71.01 70.34 70.52 71.312 70.46 69.41
## cvpred      73.6 73.05 71.694 70.21 72.918 71.07 70.32 70.56 71.278 70.35 69.38
## overall     72.0 72.00 72.000 72.00 72.000 72.00 72.00 72.00 72.000 71.00 71.00
## CV residual -1.6 -1.05  0.306  1.79 -0.918  0.93  1.68  1.44  0.722  0.65  1.62
##               2502   2528  2539  2545  2556  2605   2614  2622  2656    2658
## Predicted   70.907 71.686 68.15 72.68 63.16 68.89 71.254 66.00 68.41 70.9241
## cvpred      70.855 71.619 68.14 72.58 63.27 68.87 71.251 65.91 68.34 70.9524
## overall     71.000 71.000 71.00 71.00 71.00 71.00 71.000 71.00 71.00 71.0000
## CV residual  0.145 -0.619  2.86 -1.58  7.73  2.13 -0.251  5.09  2.66  0.0476
##              2663   2695 2698  2706  2721  2752  2764  2765  2766  2772  2775
## Predicted   72.85 71.907 72.2 72.73 72.02 67.77 65.27 69.03 72.22 73.74 73.33
## cvpred      72.85 71.832 72.2 72.74 72.02 67.82 65.11 69.03 72.23 73.68 73.28
## overall     71.00 71.000 71.0 71.00 71.00 71.00 71.00 71.00 71.00 71.00 71.00
## CV residual -1.85 -0.832 -1.2 -1.74 -1.02  3.18  5.89  1.97 -1.23 -2.68 -2.28
##              2777 2795  2797  2800 2801   2813  2821   2831  2846  2868   2880
## Predicted   68.87 69.6 69.93 69.91 73.9 70.190 75.47 71.376 72.20 72.25 69.220
## cvpred      68.89 69.6 69.88 69.89 73.9 70.165 75.48 71.369 72.23 72.22 69.182
## overall     71.00 71.0 71.00 71.00 71.0 71.000 71.00 71.000 71.00 71.00 70.000
## CV residual  2.11  1.4  1.12  1.11 -2.9  0.835 -4.48 -0.369 -1.23 -1.22  0.818
##               2882  2926  2960  2968   2978   2986  2989  2999  3000   3019
## Predicted   69.801 68.55 71.32 72.51 69.603 69.480 72.22 69.05 67.63 69.512
## cvpred      69.734 68.51 71.27 72.48 69.565 69.427 72.16 68.97 67.55 69.441
## overall     70.000 70.00 70.00 70.00 70.000 70.000 70.00 70.00 70.00 70.000
## CV residual  0.266  1.49 -1.27 -2.48  0.435  0.573 -2.16  1.03  2.45  0.559
##               3020  3032  3042   3043  3066   3103  3105  3128 3140   3142
## Predicted   69.283 73.34 71.21 69.479 71.15 70.475 71.20 71.88 72.1 70.791
## cvpred      69.338 73.32 71.17 69.471 71.13 70.436 71.15 72.02 72.2 70.861
## overall     70.000 70.00 70.00 70.000 70.00 70.000 70.00 70.00 70.0 70.000
## CV residual  0.662 -3.32 -1.17  0.529 -1.13 -0.436 -1.15 -2.02 -2.2 -0.861
##              3157  3160  3165  3168 3182  3190  3204  3209  3240   3242   3297
## Predicted   73.30 69.11 72.01 71.09 72.5 71.32 71.12 66.96 71.93 70.279 70.475
## cvpred      73.27 69.08 72.01 71.07 72.4 71.38 71.08 66.97 71.91 70.241 70.507
## overall     70.00 70.00 70.00 70.00 70.0 70.00 70.00 70.00 70.00 70.000 70.000
## CV residual -3.27  0.92 -2.01 -1.07 -2.4 -1.38 -1.08  3.03 -1.91 -0.241 -0.507
##              3299  3304  3327   3332  3335  3346  3356   3362   3371 3380  3386
## Predicted   68.79 68.32 72.49 70.224 72.18 68.43 72.06 69.643 68.767   72 70.86
## cvpred      68.73 68.32 72.46 70.166 72.13 68.43 72.03 69.651 68.702   72 70.81
## overall     70.00 70.00 70.00 70.000 70.00 70.00 70.00 70.000 69.000   69 69.00
## CV residual  1.27  1.68 -2.46 -0.166 -2.13  1.57 -2.03  0.349  0.298   -3 -1.81
##               3399  3410   3413  3419  3426  3427   3429  3434  3441  3442
## Predicted   68.221 71.43 67.973 64.12 66.29 72.03 69.166 67.12 61.35 70.10
## cvpred      68.243 71.37 68.007 64.08 66.27 71.95 69.102 67.07 61.38 70.07
## overall     69.000 69.00 69.000 69.00 69.00 69.00 69.000 69.00 69.00 69.00
## CV residual  0.757 -2.37  0.993  4.92  2.73 -2.95 -0.102  1.93  7.62 -1.07
##               3485   3494   3509  3523   3532  3544  3568  3570  3580   3636
## Predicted   68.116 70.066 68.532 64.41 68.616 67.83 70.50 71.59 70.37 69.970
## cvpred      68.058 69.999 68.489 64.49 68.613 67.89 70.43 71.58 70.38 69.946
## overall     69.000 69.000 69.000 69.00 69.000 69.00 69.00 69.00 69.00 69.000
## CV residual  0.942 -0.999  0.511  4.51  0.387  1.11 -1.43 -2.58 -1.38 -0.946
##              3639  3670   3676  3677  3680   3700  3714  3727  3731 3734  3736
## Predicted   70.48 71.44 68.299 70.90 71.65 67.980 70.51 71.20 71.80 65.8 69.32
## cvpred      70.36 71.53 68.326 70.97 71.69 68.086 70.54 71.21 71.72 65.8 69.31
## overall     69.00 69.00 69.000 69.00 69.00 69.000 69.00 69.00 69.00 69.0 69.00
## CV residual -1.36 -2.53  0.674 -1.97 -2.69  0.914 -1.54 -2.21 -2.72  3.2 -0.31
##              3743 3774  3777  3785  3800   3802   3818   3821  3823  3847
## Predicted   70.94 71.3 67.14 67.33 67.24 69.018 68.098 68.508 69.97 69.73
## cvpred      71.03 71.2 67.13 67.42 67.29 69.039 68.112 68.616 70.07 69.66
## overall     69.00 69.0 69.00 69.00 69.00 69.000 69.000 69.000 69.00 68.00
## CV residual -2.03 -2.2  1.87  1.58  1.71 -0.039  0.888  0.384 -1.07 -1.66
##               3885   3905  3912  3927  3930  3938   3964  3975  3983  4035
## Predicted   67.824 67.747 71.45 70.54 69.86 69.98 67.262 65.59 66.97 66.12
## cvpred      67.782 67.804 71.42 70.44 69.82 69.89 67.256 65.65 66.98 66.13
## overall     68.000 68.000 68.00 68.00 68.00 68.00 68.000 68.00 68.00 68.00
## CV residual  0.218  0.196 -3.42 -2.44 -1.82 -1.89  0.744  2.35  1.02  1.87
##              4074  4080  4093  4128  4131 4137  4146   4157   4199   4205  4217
## Predicted   66.35 72.86 65.94 66.09 69.89 66.5 66.76 67.416 67.454 67.490 69.23
## cvpred      66.45 72.81 65.98 66.22 69.92 66.6 66.81 67.485 67.479 67.501 69.22
## overall     68.00 68.00 68.00 68.00 68.00 68.0 68.00 68.000 68.000 68.000 68.00
## CV residual  1.55 -4.81  2.02  1.78 -1.92  1.4  1.19  0.515  0.521  0.499 -1.22
##              4228  4241  4270   4272   4286  4301  4315   4341  4369 4392  4393
## Predicted   69.46 70.40 63.09 68.029 68.332 71.03 65.57 68.489 65.28 65.6 68.34
## cvpred      69.51 70.34 63.09 68.125 68.365 70.97 65.59 68.504 65.34 65.7 68.27
## overall     68.00 68.00 68.00 68.000 68.000 68.00 68.00 68.000 67.00 67.0 67.00
## CV residual -1.51 -2.34  4.91 -0.125 -0.365 -2.97  2.41 -0.504  1.66  1.3 -1.27
##               4428  4442  4472  4491   4509  4522   4535  4537   4542  4554
## Predicted   66.331 65.22 68.79 68.24 67.819 69.16 67.886 69.19 67.362 65.44
## cvpred      66.312 65.23 68.71 68.24 67.813 69.12 67.934 69.19 67.333 65.52
## overall     67.000 67.00 67.00 67.00 67.000 67.00 67.000 67.00 67.000 67.00
## CV residual  0.688  1.77 -1.71 -1.24 -0.813 -2.12 -0.934 -2.19 -0.333  1.48
##               4557   4569  4595  4664  4674  4683  4707   4750  4753  4759 4770
## Predicted   67.782 67.157 66.02 69.97 63.35 68.94 69.93 67.562 68.93 63.03 68.2
## cvpred      67.817 67.182 65.97 70.05 63.48 68.99 69.98 67.542 68.92 63.14 68.2
## overall     67.000 67.000 67.00 67.00 67.00 67.00 67.00 67.000 67.00 67.00 67.0
## CV residual -0.817 -0.182  1.03 -3.05  3.52 -1.99 -2.98 -0.542 -1.92  3.86 -1.2
##              4771   4772   4818  4836  4883  4891  4899  4905   4910   4924
## Predicted   68.35 67.772 66.566 63.63 66.73 67.13 63.53 68.92 65.346 65.190
## cvpred      68.39 67.782 66.569 63.65 66.66 67.17 63.56 68.85 65.315 65.178
## overall     67.00 67.000 67.000 66.00 66.00 66.00 66.00 66.00 66.000 66.000
## CV residual -1.39 -0.782  0.431  2.35 -0.66 -1.17  2.44 -2.85  0.685  0.822
##             4943   4951 4952   4995   5023  5028  5043  5048  5094  5110   5129
## Predicted   68.9 65.370 67.2 65.427 66.913 68.84 67.33 64.74 68.92 70.73 65.064
## cvpred      68.9 65.481 67.2 65.446 66.924 68.86 67.35 64.78 68.88 70.64 65.109
## overall     66.0 66.000 66.0 66.000 66.000 66.00 66.00 66.00 66.00 66.00 66.000
## CV residual -2.9  0.519 -1.2  0.554 -0.924 -2.86 -1.35  1.22 -2.88 -4.64  0.891
##              5130  5146  5149  5170  5178 5216   5222 5234  5236  5238  5244
## Predicted   67.04 69.35 67.52 69.59 66.59 68.2 66.841 67.0 64.69 67.48 68.15
## cvpred      67.07 69.38 67.51 69.58 66.62 68.2 66.795 67.1 64.73 67.52 68.16
## overall     66.00 66.00 66.00 66.00 66.00 66.0 66.000 66.0 66.00 66.00 66.00
## CV residual -1.07 -3.38 -1.51 -3.58 -0.62 -2.2 -0.795 -1.1  1.27 -1.52 -2.16
##               5251   5283  5315  5352   5372  5395  5411  5425   5434  5440
## Predicted   66.091 64.965 62.55 63.80 65.953 63.90 68.47 61.81 64.992 67.07
## cvpred      66.139 65.063 62.62 63.84 65.913 63.93 68.47 61.87 64.955 67.03
## overall     66.000 66.000 65.00 65.00 65.000 65.00 65.00 65.00 65.000 65.00
## CV residual -0.139  0.937  2.38  1.16 -0.913  1.07 -3.47  3.13  0.045 -2.03
##              5489  5523  5534  5535  5558   5580  5584  5627  5631  5642  5664
## Predicted   67.20 66.69 68.44 63.42 67.94 65.948 64.71 67.08 67.37 67.48 67.82
## cvpred      67.25 66.71 68.48 63.48 67.95 65.968 64.75 67.16 67.36 67.62 67.86
## overall     65.00 65.00 65.00 65.00 65.00 65.000 65.00 65.00 65.00 65.00 65.00
## CV residual -2.25 -1.71 -3.48  1.52 -2.95 -0.968  0.25 -2.16 -2.36 -2.62 -2.86
##              5697  5706  5720  5727  5732 5740 5748  5767   5791  5796   5802
## Predicted   68.69 63.53 64.45 68.43 66.11 62.5 62.6 62.56 64.918 62.47 64.666
## cvpred      68.62 63.51 64.47 68.56 66.23 62.7 62.7 62.66 64.892 62.44 64.649
## overall     65.00 65.00 65.00 65.00 65.00 65.0 65.0 65.00 64.000 64.00 64.000
## CV residual -3.62  1.49  0.53 -3.56 -1.23  2.3  2.3  2.34 -0.892  1.56 -0.649
##              5810  5830  5836   5861   5890 5920 5943   5950  5983  5986  5991
## Predicted   66.21 64.84 65.57 64.338 64.377 66.5 67.3 64.293 67.35 62.47 66.48
## cvpred      66.23 64.83 65.61 64.366 64.422 66.6 67.3 64.318 67.33 62.55 66.52
## overall     64.00 64.00 64.00 64.000 64.000 64.0 64.0 64.000 64.00 64.00 64.00
## CV residual -2.23 -0.83 -1.61 -0.366 -0.422 -2.6 -3.3 -0.318 -3.33  1.45 -2.52
##              5998  6010  6013 6015  6027  6038  6054  6057  6059   6060   6062
## Predicted   67.97 66.19 65.09 47.3 66.23 66.55 66.41 65.02 65.78 64.774 64.171
## cvpred      67.98 66.21 65.12 47.4 66.28 66.64 66.53 65.09 65.82 64.816 64.264
## overall     64.00 64.00 64.00 64.0 64.00 64.00 64.00 64.00 64.00 64.000 64.000
## CV residual -3.98 -2.21 -1.12 16.6 -2.28 -2.64 -2.53 -1.09 -1.82 -0.816 -0.264
##               6068  6074   6105  6118  6129  6134  6142   6146  6184  6190
## Predicted   64.342 65.94 64.905 65.25 66.20 66.79 64.92 63.521 65.77 66.56
## cvpred      64.424 66.03 64.917 65.29 66.24 66.81 65.01 63.561 65.77 66.51
## overall     64.000 64.00 64.000 64.00 64.00 64.00 64.00 64.000 63.00 63.00
## CV residual -0.424 -2.03 -0.917 -1.29 -2.24 -2.81 -1.01  0.439 -2.77 -3.51
##              6203  6215   6217  6226  6241  6258   6263    6264  6275  6284
## Predicted   65.13 64.78 63.293 59.45 64.27 65.24 62.193 62.9275 65.38 64.45
## cvpred      65.19 64.83 63.304 59.51 64.19 65.25 62.289 62.9579 65.39 64.53
## overall     63.00 63.00 63.000 63.00 63.00 63.00 63.000 63.0000 63.00 63.00
## CV residual -2.19 -1.83 -0.304  3.49 -1.19 -2.25  0.711  0.0421 -2.39 -1.53
##              6285  6329  6342   6344   6359   6365  6367  6392  6399 6401
## Predicted   64.43 66.26 64.88 62.203 63.413 63.813 64.59 64.08 66.06 67.7
## cvpred      64.54 66.29 64.92 62.243 63.551 63.868 64.63 64.16 66.08 67.7
## overall     63.00 63.00 63.00 63.000 63.000 63.000 63.00 63.00 63.00 63.0
## CV residual -1.54 -3.29 -1.92  0.757 -0.551 -0.868 -1.63 -1.16 -3.08 -4.7
##               6408  6410  6458  6460  6471  6487  6494  6506   6513  6518  6521
## Predicted   62.767 66.92 64.45 64.80 66.68 59.52 63.80 64.12 60.891 63.30 65.13
## cvpred      62.862 66.98 64.53 64.83 66.68 59.61 63.82 64.02 61.036 63.34 65.14
## overall     63.000 63.00 63.00 63.00 62.00 62.00 62.00 62.00 62.000 62.00 62.00
## CV residual  0.138 -3.98 -1.53 -1.83 -4.68  2.39 -1.82 -2.02  0.964 -1.34 -3.14
##               6525  6531   6533  6543  6548  6565  6576  6579  6595  6597  6606
## Predicted   61.583 63.68 61.580 65.88 60.63 66.07 64.65 62.54 54.24 59.45 64.91
## cvpred      61.642 63.67 61.588 65.88 60.67 66.15 64.68 62.68 54.29 59.54 64.91
## overall     62.000 62.00 62.000 62.00 62.00 62.00 62.00 62.00 62.00 62.00 62.00
## CV residual  0.358 -1.67  0.412 -3.88  1.33 -4.15 -2.68 -0.68  7.71  2.46 -2.91
##              6624  6673  6700    6703  6743  6799  6819  6832   6834   6858
## Predicted   59.07 63.96 63.14 60.9231 62.50 65.97 62.44 66.21 61.927 59.072
## cvpred      59.05 64.06 63.18 60.9695 62.44 66.04 62.57 66.23 61.969 59.131
## overall     62.00 62.00 61.00 61.0000 61.00 61.00 61.00 61.00 61.000 60.000
## CV residual  2.95 -2.06 -2.18  0.0305 -1.44 -5.04 -1.57 -5.23 -0.969  0.869
##                6884  6907  6912 6925   6934  6947  6950  6954  6964   6974 7006
## Predicted   60.0515 56.35 62.12 61.3 59.678 61.84 61.51 61.17 55.54 59.788 61.9
## cvpred      60.0979 56.27 62.17 61.4 59.696 61.97 61.64 61.28 55.57 59.858 61.9
## overall     60.0000 60.00 60.00 60.0 60.000 60.00 60.00 60.00 60.00 60.000 59.0
## CV residual -0.0979  3.73 -2.17 -1.4  0.304 -1.97 -1.64 -1.28  4.43  0.142 -2.9
##              7012  7014  7034  7037  7050  7093  7095  7115   7125 7128  7153
## Predicted   61.28 60.72 56.37 63.19 57.91 61.55 59.96 60.04 57.394 65.3 55.13
## cvpred      61.27 60.78 56.45 63.22 57.99 61.58 59.93 60.06 57.528 65.5 55.31
## overall     59.00 59.00 59.00 59.00 59.00 58.00 58.00 58.00 58.000 58.0 57.00
## CV residual -2.27 -1.78  2.55 -4.22  1.01 -3.58 -1.93 -2.06  0.472 -7.5  1.69
##              7156  7157 7162  7164  7179  7188  7207 7211  7224  7233  7260
## Predicted   59.84 59.93 58.0 60.68 60.81 59.81 55.17 56.9 58.83 60.03 50.26
## cvpred      59.88 60.01 58.1 60.71 60.89 59.75 55.25 57.0 58.88 60.09 50.34
## overall     57.00 57.00 57.0 57.00 57.00 56.00 56.00 56.0 55.00 54.00 49.00
## CV residual -2.88 -3.01 -1.1 -3.71 -3.89 -3.75  0.75 -1.0 -3.88 -6.09 -1.34
## 
## Sum of squares = 3133    Mean square = 5.76    n = 544 
## 
## fold 5 
## Observations in test set: 544 
##                65     69    88   109   117   126   127  139  146   161   180
## Predicted   81.44 85.380 80.05 82.19 80.04 79.72 81.28 80.6 81.7 78.00 81.49
## cvpred      81.61 85.465 80.02 82.14 80.18 79.81 81.38 80.7 81.8 77.98 81.61
## overall     86.00 85.000 85.00 84.00 84.00 84.00 84.00 83.0 83.0 83.00 83.00
## CV residual  4.39 -0.465  4.98  1.86  3.82  4.19  2.62  2.3  1.2  5.02  1.39
##               184   186   202   229   234   239    247    259  262   269 295
## Predicted   79.51 81.33 80.57 77.84 80.39 80.77 81.082 80.210 79.8 77.29  85
## cvpred      79.58 81.31 80.67 77.69 80.39 80.87 81.111 80.235 79.9 77.51  85
## overall     83.00 83.00 82.00 82.00 82.00 82.00 82.000 81.000 81.0 81.00  81
## CV residual  3.42  1.69  1.33  4.31  1.61  1.13  0.889  0.765  1.1  3.49  -4
##                 301    316   317    347   355   363    388  391    406   427
## Predicted   80.9818 80.652 77.33 78.922 77.53 81.01 80.657 78.4 79.131 78.40
## cvpred      80.9621 80.739 77.39 79.004 77.53 81.13 80.804 78.5 79.157 78.41
## overall     81.0000 81.000 81.00 80.000 80.00 80.00 80.000 80.0 80.000 80.00
## CV residual  0.0379  0.261  3.61  0.996  2.47 -1.13 -0.804  1.5  0.843  1.59
##               436   438    449    460   474    517   522   531    534   557
## Predicted   77.96 77.45 78.674 78.171 77.28 79.316 75.20 76.38 78.212 73.15
## cvpred      78.04 77.47 78.645 78.272 77.32 79.372 75.09 76.42 78.243 73.05
## overall     79.00 79.00 79.000 79.000 79.00 79.000 79.00 79.00 79.000 78.00
## CV residual  0.96  1.53  0.355  0.728  1.68 -0.372  3.91  2.58  0.757  4.95
##               569   570  603   610   637    640   658   666   683    714    730
## Predicted   76.61 74.96 76.9 76.98 75.39 78.650 73.57 76.28 73.45 76.430 76.658
## cvpred      76.57 75.04 76.9 77.06 75.33 78.692 73.56 76.32 73.46 76.465 76.682
## overall     78.00 78.00 78.0 78.00 78.00 78.000 78.00 78.00 78.00 77.000 77.000
## CV residual  1.43  2.96  1.1  0.94  2.67 -0.692  4.44  1.68  4.54  0.535  0.318
##                 734    759   785    788   797   812   816   832     837    842
## Predicted   76.8272 76.503 76.50 76.456 77.13 77.57 76.35 78.45 76.9741 77.567
## cvpred      76.9436 76.587 76.67 76.493 77.15 77.68 76.37 78.53 77.0243 77.558
## overall     77.0000 77.000 77.00 77.000 77.00 77.00 77.00 77.00 77.0000 77.000
## CV residual  0.0564  0.413  0.33  0.507 -0.15 -0.68  0.63 -1.53 -0.0243 -0.558
##                849   850   856   861   892   903   944    960    970   974
## Predicted   76.198 67.89 78.38 75.67 68.92 71.76 74.42 75.340 75.416 74.89
## cvpred      76.185 67.97 78.48 75.73 68.91 71.71 74.52 75.236 75.416 74.94
## overall     77.000 77.00 77.00 77.00 76.00 76.00 76.00 76.000 76.000 76.00
## CV residual  0.815  9.03 -1.48  1.27  7.09  4.29  1.48  0.764  0.584  1.06
##                989    990   1036  1048  1053  1055  1057  1061  1067  1072
## Predicted   75.571 75.616 75.724 74.82 76.27 74.45 72.88 73.97 68.96 74.48
## cvpred      75.643 75.583 75.785 74.91 76.32 74.51 72.72 74.03 68.99 74.49
## overall     76.000 76.000 76.000 76.00 76.00 76.00 76.00 76.00 76.00 76.00
## CV residual  0.357  0.417  0.215  1.09 -0.32  1.49  3.28  1.97  7.01  1.51
##              1074   1076   1101  1106  1108   1122    1147  1152  1175  1178
## Predicted   77.20 75.344 74.122 73.25 72.70 74.716 74.9644 79.11 73.84 72.80
## cvpred      77.31 75.404 74.106 73.41 72.72 74.691 75.0745 79.09 73.72 72.85
## overall     75.00 75.000 75.000 75.00 75.00 75.000 75.0000 75.00 75.00 75.00
## CV residual -2.31 -0.404  0.894  1.59  2.28  0.309 -0.0745 -4.09  1.28  2.15
##              1215   1224   1233  1241  1245  1253  1257   1264   1269  1295
## Predicted   71.26 75.487 74.826 76.03 71.52 69.88 73.87 75.481 74.725 73.45
## cvpred      71.23 75.535 74.849 76.02 71.46 69.89 73.88 75.467 74.783 73.45
## overall     75.00 75.000 75.000 75.00 75.00 75.00 75.00 75.000 75.000 75.00
## CV residual  3.77 -0.535  0.151 -1.02  3.54  5.11  1.12 -0.467  0.217  1.55
##               1316  1329  1330  1340  1354  1355   1364   1371   1384 1411
## Predicted   75.881 76.88 73.72 74.28 72.51 75.97 73.546 74.865 74.259 63.7
## cvpred      75.963 76.98 73.81 74.35 72.48 76.04 73.663 74.892 74.247 63.6
## overall     75.000 75.00 75.00 75.00 75.00 75.00 74.000 74.000 74.000 74.0
## CV residual -0.963 -1.98  1.19  0.65  2.52 -1.04  0.337 -0.892 -0.247 10.4
##              1415  1418  1423  1429  1436   1470   1475   1517  1522  1525
## Predicted   72.66 75.53 75.30 69.51 72.69 73.899 74.838 73.334 69.52 71.18
## cvpred      72.55 75.56 75.37 69.52 72.93 73.897 74.844 73.296 69.55 71.25
## overall     74.00 74.00 74.00 74.00 74.00 74.000 74.000 74.000 74.00 74.00
## CV residual  1.45 -1.56 -1.37  4.48  1.07  0.103 -0.844  0.704  4.45  2.75
##              1558  1572   1577    1585  1592  1609  1616  1638  1641  1649
## Predicted   75.23 76.89 73.002 74.0570 75.78 75.11 75.85 70.54 71.38 70.67
## cvpred      75.26 76.84 73.015 74.0992 75.85 75.24 75.87 70.48 71.22 70.54
## overall     74.00 74.00 74.000 74.0000 74.00 74.00 74.00 74.00 74.00 74.00
## CV residual -1.26 -2.84  0.985 -0.0992 -1.85 -1.24 -1.87  3.52  2.78  3.46
##              1654  1665 1697  1713  1714 1770  1773  1774  1779   1785  1800
## Predicted   71.96 67.64   75 71.48 70.57 69.7 68.37 74.31 70.02 73.325 68.31
## cvpred      71.85 67.68   75 71.49 70.58 69.7 68.37 74.41 70.03 73.357 68.24
## overall     74.00 73.00   73 73.00 73.00 73.0 73.00 73.00 73.00 73.000 73.00
## CV residual  2.15  5.32   -2  1.51  2.42  3.3  4.63 -1.41  2.97 -0.357  4.76
##               1804  1810  1820 1833 1844   1848  1865   1870   1880  1905  1907
## Predicted   73.345 71.84 70.38 71.2 74.2 73.760 71.39 72.930 73.758 74.29 74.73
## cvpred      73.365 71.74 70.37 71.3 74.3 73.681 71.42 72.894 73.859 74.34 74.68
## overall     73.000 73.00 73.00 73.0 73.0 73.000 73.00 73.000 73.000 73.00 73.00
## CV residual -0.365  1.26  2.63  1.7 -1.3 -0.681  1.58  0.106 -0.859 -1.34 -1.68
##               1931   1957  1965   1972   1974  1987  1995  2025   2033  2056
## Predicted   73.450 73.828 70.32 72.458 72.782 74.91 71.37 70.55 72.522 70.88
## cvpred      73.558 73.728 70.33 72.447 72.737 74.92 71.21 70.36 72.464 70.73
## overall     73.000 73.000 73.00 73.000 73.000 73.00 73.00 73.00 72.000 72.00
## CV residual -0.558 -0.728  2.67  0.553  0.263 -1.92  1.79  2.64 -0.464  1.27
##               2067   2100   2114  2125   2139   2141   2147   2157  2161   2174
## Predicted   72.121 71.525 71.849 73.33 71.040 72.725 71.698 72.755 69.54 72.833
## cvpred      72.166 71.609 71.803 73.31 71.032 72.716 71.674 72.745 69.44 72.926
## overall     72.000 72.000 72.000 72.00 72.000 72.000 72.000 72.000 72.00 72.000
## CV residual -0.166  0.391  0.197 -1.31  0.968 -0.716  0.326 -0.745  2.56 -0.926
##               2188   2191  2244  2267   2282   2309  2324   2326  2329   2336
## Predicted   72.751 72.917 69.76 70.00 72.422 71.743 73.14 72.851 70.99 72.578
## cvpred      72.756 72.903 69.57 69.91 72.549 71.651 73.15 72.776 70.96 72.619
## overall     72.000 72.000 72.00 72.00 72.000 72.000 72.00 72.000 72.00 72.000
## CV residual -0.756 -0.903  2.43  2.09 -0.549  0.349 -1.15 -0.776  1.04 -0.619
##              2340    2343  2347   2353   2395    2406 2448  2449 2478 2482
## Predicted   69.69 72.0494 74.08 72.238 72.397 72.0150 67.7 72.37 73.5 56.1
## cvpred      69.69 71.9259 74.02 72.314 72.443 71.9552 67.7 72.38 73.5 56.1
## overall     72.00 72.0000 72.00 72.000 72.000 72.0000 71.0 71.00 71.0 71.0
## CV residual  2.31  0.0741 -2.02 -0.314 -0.443  0.0448  3.3 -1.38 -2.5 14.9
##              2484  2489  2512   2514  2518  2524   2527   2540  2543   2568
## Predicted   69.55 69.83 73.45 70.823 69.72 66.71 70.760 70.616 72.09 70.587
## cvpred      69.53 69.79 73.46 70.798 69.76 66.77 70.786 70.624 72.22 70.617
## overall     71.00 71.00 71.00 71.000 71.00 71.00 71.000 71.000 71.00 71.000
## CV residual  1.47  1.21 -2.46  0.202  1.24  4.23  0.214  0.376 -1.22  0.383
##              2575    2604 2617  2640   2652   2653  2659   2720   2724  2726
## Predicted   68.64 70.9852 69.9 72.79 71.678 71.067 69.36 71.826 71.227 73.33
## cvpred      68.67 70.9181 69.9 72.62 71.678 71.143 69.33 71.889 71.221 73.48
## overall     71.00 71.0000 71.0 71.00 71.000 71.000 71.00 71.000 71.000 71.00
## CV residual  2.33  0.0819  1.1 -1.62 -0.678 -0.143  1.67 -0.889 -0.221 -2.48
##              2744  2746  2755  2756   2812  2817  2818   2819   2832  2835
## Predicted   72.77 69.28 73.25 73.30 71.686 73.39 73.65 70.258 71.185 72.11
## cvpred      72.71 69.15 73.28 73.27 71.659 73.38 73.71 70.177 71.146 72.18
## overall     71.00 71.00 71.00 71.00 71.000 71.00 71.00 71.000 71.000 71.00
## CV residual -1.71  1.85 -2.28 -2.27 -0.659 -2.38 -2.71  0.823 -0.146 -1.18
##              2838  2839  2844   2876   2901   2902  2912  2917    2931  2944
## Predicted   68.64 68.59 67.68 70.663 69.198 69.765 71.96 67.06 70.0104 71.46
## cvpred      68.64 68.66 67.57 70.657 69.242 69.856 71.88 66.97 70.0444 71.47
## overall     71.00 71.00 71.00 70.000 70.000 70.000 70.00 70.00 70.0000 70.00
## CV residual  2.36  2.34  3.43 -0.657  0.758  0.144 -1.88  3.03 -0.0444 -1.47
##               2957   2977  2982  3002  3008   3047  3059   3088   3091  3113
## Predicted   70.280 69.231 67.81 72.33 68.14 69.020 68.94 68.959 70.699 67.19
## cvpred      70.356 69.211 67.84 72.38 68.07 69.052 68.94 69.052 70.767 67.12
## overall     70.000 70.000 70.00 70.00 70.00 70.000 70.00 70.000 70.000 70.00
## CV residual -0.356  0.789  2.16 -2.38  1.93  0.948  1.06  0.948 -0.767  2.88
##              3137   3149  3151  3161   3183  3192  3195   3198  3208  3223
## Predicted   72.53 69.679 72.06 71.69 69.637 71.13 68.47 70.288 71.78 72.98
## cvpred      72.45 69.657 72.17 71.74 69.534 71.19 68.44 70.266 71.75 73.08
## overall     70.00 70.000 70.00 70.00 70.000 70.00 70.00 70.000 70.00 70.00
## CV residual -2.45  0.343 -2.17 -1.74  0.466 -1.19  1.56 -0.266 -1.75 -3.08
##              3230 3238   3243  3246  3250  3257    3280  3284  3331  3337
## Predicted   71.13 71.7 70.850 66.40 68.83 71.38 69.8811 71.85 73.15 67.61
## cvpred      71.14 71.7 70.791 66.39 68.73 71.38 69.9169 71.93 73.11 67.55
## overall     70.00 70.0 70.000 70.00 70.00 70.00 70.0000 70.00 70.00 70.00
## CV residual -1.14 -1.7 -0.791  3.61  1.27 -1.38  0.0831 -1.93 -3.11  2.45
##                3350 3354  3367  3383  3391    3403  3412  3416  3422   3445
## Predicted   70.1311 68.3 68.47 71.56 70.53 68.9341 71.37 67.44 70.27 69.890
## cvpred      70.0902 68.1 68.44 71.47 70.55 68.9607 71.35 67.23 70.28 69.905
## overall     70.0000 70.0 70.00 69.00 69.00 69.0000 69.00 69.00 69.00 69.000
## CV residual -0.0902  1.9  1.56 -2.47 -1.55  0.0393 -2.35  1.77 -1.28 -0.905
##              3449  3451  3469   3470  3479 3529  3537   3557   3567   3569
## Predicted   70.71 67.94 73.65 68.674 64.22 70.3 66.44 68.630 68.881 68.604
## cvpred      70.72 67.87 73.73 68.629 64.26 70.2 66.39 68.683 68.852 68.613
## overall     69.00 69.00 69.00 69.000 69.00 69.0 69.00 69.000 69.000 69.000
## CV residual -1.72  1.13 -4.73  0.371  4.74 -1.2  2.61  0.317  0.148  0.387
##               3571   3611   3659   3664   3669    3721  3726  3728  3732   3738
## Predicted   69.469 69.214 68.759 70.029 69.449 68.9802 70.66 70.21 71.48 69.628
## cvpred      69.499 69.164 68.758 69.931 69.294 68.9861 70.66 70.17 71.49 69.495
## overall     69.000 69.000 69.000 69.000 69.000 69.0000 69.00 69.00 69.00 69.000
## CV residual -0.499 -0.164  0.242 -0.931 -0.294  0.0139 -1.66 -1.17 -2.49 -0.495
##             3747  3769  3803  3834  3842  3852  3866   3869   3881   3900  3904
## Predicted   66.8 67.15 63.85 66.50 65.12 65.93 69.53 67.385 67.580 68.849 66.60
## cvpred      66.9 66.95 63.69 66.49 65.07 65.89 69.53 67.424 67.583 68.771 66.62
## overall     69.0 69.00 69.00 69.00 68.00 68.00 68.00 68.000 68.000 68.000 68.00
## CV residual  2.1  2.05  5.31  2.51  2.93  2.11 -1.53  0.576  0.417 -0.771  1.38
##              3921  3929  3935  3937  3950   3963   3986  4002    4024   4073
## Predicted   64.43 67.07 69.03 64.77 69.33 68.881 68.933 70.69 67.8565 68.391
## cvpred      64.38 66.97 69.05 64.86 69.33 68.895 68.959 70.73 67.9037 68.337
## overall     68.00 68.00 68.00 68.00 68.00 68.000 68.000 68.00 68.0000 68.000
## CV residual  3.62  1.03 -1.05  3.14 -1.33 -0.895 -0.959 -2.73  0.0963 -0.337
##               4085  4092  4097  4099  4105    4152   4153  4171  4173  4175
## Predicted   67.594 69.30 67.12 66.20 70.12 67.9265 67.297 69.23 70.18 69.70
## cvpred      67.504 69.29 66.97 66.18 70.13 67.9611 67.366 69.19 70.18 69.74
## overall     68.000 68.00 68.00 68.00 68.00 68.0000 68.000 68.00 68.00 68.00
## CV residual  0.496 -1.29  1.03  1.82 -2.13  0.0389  0.634 -1.19 -2.18 -1.74
##               4190  4195  4212  4258  4281  4298   4335 4351  4374   4382  4387
## Predicted   68.274 71.76 66.43 65.38 66.64 68.43 68.935 69.7 66.65 67.591 65.76
## cvpred      68.341 71.75 66.53 65.42 66.65 68.38 68.966 69.6 66.55 67.497 65.79
## overall     68.000 68.00 68.00 68.00 68.00 68.00 68.000 68.0 67.00 67.000 67.00
## CV residual -0.341 -3.75  1.47  2.58  1.35 -0.38 -0.966 -1.6  0.45 -0.497  1.21
##               4394   4408 4413 4429   4536  4546 4547   4550  4566  4578   4596
## Predicted   66.496 66.056 65.1 50.7 67.955 69.50 63.1 67.181 64.00 69.08 67.575
## cvpred      66.439 66.019 64.9 50.5 67.993 69.55 63.2 67.204 63.84 69.05 67.634
## overall     67.000 67.000 67.0 67.0 67.000 67.00 67.0 67.000 67.00 67.00 67.000
## CV residual  0.561  0.981  2.1 16.5 -0.993 -2.55  3.8 -0.204  3.16 -2.05 -0.634
##              4626  4634  4666  4675   4692  4698  4712  4724  4736   4745  4748
## Predicted   68.51 69.82 68.83 71.57 66.476 65.42 69.91 69.90 65.32 66.354 68.68
## cvpred      68.44 69.84 68.79 71.58 66.453 65.35 69.92 69.83 65.31 66.397 68.66
## overall     67.00 67.00 67.00 67.00 67.000 67.00 67.00 67.00 67.00 67.000 67.00
## CV residual -1.44 -2.84 -1.79 -4.58  0.547  1.65 -2.92 -2.83  1.69  0.603 -1.66
##              4808  4810  4824   4833 4834  4840  4854  4859  4862   4864  4866
## Predicted   68.91 68.70 67.48 66.942 62.9 67.48 66.92 67.25 68.54 65.810 63.05
## cvpred      68.93 68.75 67.45 66.995 62.9 67.53 66.77 67.22 68.58 65.857 62.97
## overall     67.00 67.00 67.00 66.000 66.0 66.00 66.00 66.00 66.00 66.000 66.00
## CV residual -1.93 -1.75 -0.45 -0.995  3.1 -1.53 -0.77 -1.22 -2.58  0.143  3.03
##              4875   4877  4881   4888  4897  4966  4968  4970 4971  5003  5009
## Predicted   64.18 66.644 67.94 65.301 62.42 67.29 66.12 68.40 68.5 67.95 63.95
## cvpred      64.25 66.694 67.94 65.234 62.23 67.21 66.12 68.41 68.4 67.91 63.72
## overall     66.00 66.000 66.00 66.000 66.00 66.00 66.00 66.00 66.0 66.00 66.00
## CV residual  1.75 -0.694 -1.94  0.766  3.77 -1.21 -0.12 -2.41 -2.4 -1.91  2.28
##              5039  5044  5061  5067  5108   5111  5116  5142  5150   5154
## Predicted   68.95 67.35 66.65 63.20 68.32 66.168 68.03 68.77 69.28 67.065
## cvpred      69.02 67.32 66.67 63.15 68.38 66.237 67.92 68.74 69.26 66.969
## overall     66.00 66.00 66.00 66.00 66.00 66.000 66.00 66.00 66.00 66.000
## CV residual -3.02 -1.32 -0.67  2.85 -2.38 -0.237 -1.92 -2.74 -3.26 -0.969
##               5160   5165  5172  5191  5196   5206  5224 5226  5227  5241
## Predicted   66.634 65.773 69.41 70.72 67.31 65.580 69.11 69.8 68.61 66.90
## cvpred      66.612 65.761 69.32 70.69 67.25 65.383 69.11 69.7 68.58 66.83
## overall     66.000 66.000 66.00 66.00 66.00 66.000 66.00 66.0 66.00 66.00
## CV residual -0.612  0.239 -3.32 -4.69 -1.25  0.617 -3.11 -3.7 -2.58 -0.83
##               5253  5275  5289  5301  5305  5317 5320  5332  5337  5349  5355
## Predicted   65.505 68.46 64.55 70.00 67.83 68.06 63.1 61.52 66.45 67.66 61.96
## cvpred      65.507 68.41 64.45 69.97 67.76 68.08 63.0 61.45 66.45 67.72 61.78
## overall     66.000 66.00 66.00 66.00 66.00 65.00 65.0 65.00 65.00 65.00 65.00
## CV residual  0.493 -2.41  1.55 -3.97 -1.76 -3.08  2.0  3.55 -1.45 -2.72  3.22
##               5356   5361   5364  5367   5380  5382  5393  5406  5418  5422
## Predicted   64.985 64.249 66.006 67.14 65.280 65.98 69.08 68.18 67.89 62.09
## cvpred      64.955 64.198 65.981 67.09 65.229 65.88 69.12 68.19 67.94 62.02
## overall     65.000 65.000 65.000 65.00 65.000 65.00 65.00 65.00 65.00 65.00
## CV residual  0.045  0.802 -0.981 -2.09 -0.229 -0.88 -4.12 -3.19 -2.94  2.98
##               5427  5431  5449  5470  5479    5487   5507   5517  5527   5531
## Predicted   66.049 67.85 63.64 70.01 61.10 65.0339 64.646 64.745 67.82 65.970
## cvpred      65.939 67.84 63.58 70.02 60.97 65.0368 64.572 64.657 67.78 65.854
## overall     65.000 65.00 65.00 65.00 65.00 65.0000 65.000 65.000 65.00 65.000
## CV residual -0.939 -2.84  1.42 -5.02  4.03 -0.0368  0.428  0.343 -2.78 -0.854
##              5563  5571   5585   5598  5599   5604  5605  5649  5650   5678
## Predicted   69.73 67.31 64.158 65.507 68.67 64.844 67.74 66.34 69.32 65.984
## cvpred      69.68 67.37 64.218 65.486 68.65 64.742 67.75 66.28 69.36 65.983
## overall     65.00 65.00 65.000 65.000 65.00 65.000 65.00 65.00 65.00 65.000
## CV residual -4.68 -2.37  0.782 -0.486 -3.65  0.258 -2.75 -1.28 -4.36 -0.983
##               5690  5701  5761  5777   5784  5799   5812  5823  5826   5855
## Predicted   65.646 63.93 66.73 64.82 63.398 65.40 63.090 65.27 60.58 64.561
## cvpred      65.616 63.92 66.73 64.79 63.353 65.38 63.001 65.19 60.57 64.492
## overall     65.000 65.00 65.00 65.00 64.000 64.00 64.000 64.00 64.00 64.000
## CV residual -0.616  1.08 -1.73  0.21  0.647 -1.38  0.999 -1.19  3.43 -0.492
##               5859  5864  5875  5881   5946  5960   5970   6037  6067   6092
## Predicted   64.466 65.17 65.75 59.53 63.185 66.68 64.646 63.826 66.86 64.891
## cvpred      64.323 65.15 65.66 59.47 63.199 66.66 64.536 63.834 66.87 64.714
## overall     64.000 64.00 64.00 64.00 64.000 64.00 64.000 64.000 64.00 64.000
## CV residual -0.323 -1.15 -1.66  4.53  0.801 -2.66 -0.536  0.166 -2.87 -0.714
##               6133  6168   6169  6171  6189   6191  6208  6237  6252    6255
## Predicted   64.176 62.13 62.234 66.86 66.79 64.011 62.07 60.47 66.15 63.0158
## cvpred      64.347 61.86 62.161 66.93 66.83 63.979 61.91 60.29 66.14 63.0592
## overall     64.000 63.00 63.000 63.00 63.00 63.000 63.00 63.00 63.00 63.0000
## CV residual -0.347  1.14  0.839 -3.93 -3.83 -0.979  1.09  2.71 -3.14 -0.0592
##               6276  6303  6304  6309  6324   6326   6327  6339  6349  6364
## Predicted   63.803 64.84 65.98 56.14 66.88 63.366 62.825 64.74 64.83 64.57
## cvpred      63.735 64.78 65.99 56.13 66.89 63.311 62.664 64.76 64.79 64.41
## overall     63.000 63.00 63.00 63.00 63.00 63.000 63.000 63.00 63.00 63.00
## CV residual -0.735 -1.78 -2.99  6.87 -3.89 -0.311  0.336 -1.76 -1.79 -1.41
##              6388  6391  6440  6463 6467  6480  6488  6489  6490  6501 6510
## Predicted   67.72 66.08 61.63 70.09 63.0 64.55 64.30 55.82 65.09 63.80 65.7
## cvpred      67.62 66.05 61.43 70.14 62.9 64.58 64.34 55.76 64.97 63.76 65.7
## overall     63.00 63.00 63.00 63.00 63.0 62.00 62.00 62.00 62.00 62.00 62.0
## CV residual -4.62 -3.05  1.57 -7.14  0.1 -2.58 -2.34  6.24 -2.97 -1.76 -3.7
##              6520  6582  6590   6645 6647  6651  6654  6665 6671 6682   6693
## Predicted   65.18 58.33 64.34 62.527 66.4 66.32 67.14 62.63 60.9 68.1 62.194
## cvpred      65.08 58.23 64.37 62.436 66.4 66.29 67.27 62.58 60.8 68.1 62.117
## overall     62.00 62.00 62.00 62.000 62.0 62.00 62.00 62.00 62.0 62.0 62.000
## CV residual -3.08  3.77 -2.37 -0.436 -4.4 -4.29 -5.27 -0.58  1.2 -6.1 -0.117
##              6705 6706   6712   6734  6744  6745   6746  6755  6801  6807  6840
## Predicted   59.73 58.9 61.768 60.580 63.89 63.02 60.620 64.34 62.70 61.35 59.84
## cvpred      59.46 58.9 61.735 60.555 63.83 62.94 60.441 64.26 62.74 61.19 59.73
## overall     61.00 61.0 61.000 61.000 61.00 61.00 61.000 61.00 61.00 61.00 61.00
## CV residual  1.54  2.1 -0.735  0.445 -2.83 -1.94  0.559 -3.26 -1.74 -0.19  1.27
##              6881  6883 6898 6923   6961  6963  6979  6983  7009   7031  7036
## Predicted   58.45 62.12 62.7   64 60.434 63.57 62.63 61.77 57.52 58.626 56.76
## cvpred      58.37 62.04 62.8   64 60.409 63.54 62.57 61.73 57.38 58.527 56.57
## overall     60.00 60.00 60.0   60 60.000 60.00 59.00 59.00 59.00 59.000 59.00
## CV residual  1.63 -2.04 -2.8   -4 -0.409 -3.54 -3.57 -2.73  1.62  0.473  2.43
##              7042  7043  7044  7063  7067  7075  7076  7087  7088  7120   7138
## Predicted   52.59 64.82 60.62 62.63 62.44 54.49 60.93 61.96 60.26 60.00 59.015
## cvpred      52.47 64.85 60.64 62.66 62.28 54.49 60.88 61.88 60.29 59.89 58.905
## overall     59.00 59.00 59.00 59.00 59.00 58.00 58.00 58.00 58.00 58.00 58.000
## CV residual  6.53 -5.85 -1.64 -3.66 -3.28  3.51 -2.88 -3.88 -2.29 -1.89 -0.905
##              7150  7177  7182  7197  7206  7221  7250
## Predicted   60.28 56.76 59.18 60.71 61.60 57.73 49.36
## cvpred      60.23 56.61 59.13 60.69 61.57 57.65 49.27
## overall     57.00 57.00 56.00 56.00 56.00 55.00 52.00
## CV residual -3.23  0.39 -3.13 -4.69 -5.57 -2.65  2.73
## 
## Sum of squares = 3459    Mean square = 6.36    n = 544 
## 
## Overall (Sum over all 544 folds) 
##   ms 
## 5.68
sum((fifa_midfielder$overall-KCV_midfielder$cvpred)^2)
## [1] 15447
1-sum((fifa_midfielder$overall-KCV_midfielder$cvpred)^2)/sum((fifa_midfielder$overall-mean(fifa_midfielder$overall))^2)
## [1] 0.84
# for the defender player model, we will perform a 5 fold cross validation
n = dim(fifa_defender)[1]
library(DAAG)
KCV_defender = cv.lm(data=fifa_defender, model_defender, m=5, seed=123)
## Analysis of Variance Table
## 
## Response: overall
##               Df Sum Sq Mean Sq F value Pr(>F)    
## age            1   6876    6876    2142 <2e-16 ***
## weight_kg      1    977     977     304 <2e-16 ***
## pace           1   6886    6886    2145 <2e-16 ***
## dribbling      1  19529   19529    6084 <2e-16 ***
## defending      1  45602   45602   14205 <2e-16 ***
## physic         1   1116    1116     348 <2e-16 ***
## skill_moves    1    433     433     135 <2e-16 ***
## Residuals   2648   8500       3                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in cv.lm(data = fifa_defender, model_defender, m = 5, seed = 123): 
## 
##  As there is >1 explanatory variable, cross-validation
##  predicted values for a fold are not a linear function
##  of corresponding overall predicted values.  Lines that
##  are shown for the different folds are approximate

## 
## fold 1 
## Observations in test set: 531 
##                30    50    55    83    85    99   106   131   160    282   345
## Predicted   84.50 84.20 83.90 82.93 83.52 82.10 81.72 82.10 80.38 80.298 78.19
## cvpred      84.67 84.37 84.02 83.06 83.62 82.17 81.83 82.17 80.48 80.435 78.32
## overall     88.00 87.00 86.00 85.00 85.00 84.00 84.00 84.00 83.00 81.000 80.00
## CV residual  3.33  2.63  1.98  1.94  1.38  1.83  2.17  1.83  2.52  0.565  1.68
##                346    361   362   368   387     456   478   486   487   500
## Predicted   79.350 79.088 78.41 78.40 81.32 78.9510 77.06 76.73 77.45 79.91
## cvpred      79.469 79.176 78.56 78.48 81.44 79.0549 77.17 76.83 77.51 80.04
## overall     80.000 80.000 80.00 80.00 80.00 79.0000 79.00 79.00 79.00 79.00
## CV residual  0.531  0.824  1.44  1.52 -1.44 -0.0549  1.83  2.17  1.49 -1.04
##                504     553   571   606     627   633   635   644    649    667
## Predicted   79.615 77.8005 79.54 76.82 77.9707 76.83 75.20 79.07 78.753 77.931
## cvpred      79.811 77.9025 79.66 76.99 78.0587 76.96 75.32 79.21 78.887 78.075
## overall     79.000 78.0000 78.00 78.00 78.0000 78.00 78.00 78.00 78.000 78.000
## CV residual -0.811  0.0975 -1.66  1.01 -0.0587  1.04  2.68 -1.21 -0.887 -0.075
##              689    698    709   732   755   764    769   792   859    880
## Predicted   76.0 77.126 78.284 75.24 74.92 74.13 77.865 78.46 78.24 75.827
## cvpred      76.1 77.134 78.402 75.31 74.94 74.19 77.994 78.59 78.23 75.869
## overall     78.0 78.000 78.000 77.00 77.00 77.00 77.000 77.00 77.00 76.000
## CV residual  1.9  0.866 -0.402  1.69  2.06  2.81 -0.994 -1.59 -1.23  0.131
##                881   886     899   955  983   1025 1033   1039  1043   1064
## Predicted   76.190 77.68 75.8343 74.57 73.4 75.175 72.4 75.251 77.77 75.070
## cvpred      76.256 77.78 75.9361 74.72 73.5 75.277 72.6 75.336 77.78 75.115
## overall     76.000 76.00 76.0000 76.00 76.0 76.000 76.0 76.000 76.00 76.000
## CV residual -0.256 -1.78  0.0639  1.28  2.5  0.723  3.4  0.664 -1.78  0.885
##              1080  1086  1099   1129   1148   1181   1185   1191   1203    1205
## Predicted   76.38 73.24 73.58 74.733 74.529 74.087 74.902 75.822 73.971 74.9540
## cvpred      76.46 73.34 73.59 74.802 74.674 74.149 74.876 75.886 74.015 75.0407
## overall     75.00 75.00 75.00 75.000 75.000 75.000 75.000 75.000 75.000 75.0000
## CV residual -1.46  1.66  1.41  0.198  0.326  0.851  0.124 -0.886  0.985 -0.0407
##               1252  1262   1289   1344  1386   1407   1410  1421   1438  1448
## Predicted   74.446 73.04 75.062 74.498 75.34 74.247 73.137 72.71 73.211 71.02
## cvpred      74.547 73.16 75.101 74.628 75.44 74.258 73.161 72.75 73.236 71.02
## overall     75.000 75.00 75.000 75.000 74.00 74.000 74.000 74.00 74.000 74.00
## CV residual  0.453  1.84 -0.101  0.372 -1.44 -0.258  0.839  1.25  0.764  2.98
##              1464   1467  1476  1484   1519   1532   1536  1549  1563   1606
## Predicted   72.05 73.522 71.73 72.76 74.133 73.798 72.978 73.53 72.01 73.371
## cvpred      72.06 73.557 71.78 72.99 74.196 73.893 73.021 73.65 72.06 73.392
## overall     74.00 74.000 74.00 74.00 74.000 74.000 74.000 74.00 74.00 74.000
## CV residual  1.94  0.443  2.22  1.01 -0.196  0.107  0.979  0.35  1.94  0.608
##              1611  1651  1656  1672   1687   1732   1736   1751   1796   1798
## Predicted   72.56 72.74 71.22 71.37 71.906 73.155 72.633 73.150 72.406 72.384
## cvpred      72.54 72.72 71.25 71.43 72.049 73.153 72.694 73.132 72.508 72.372
## overall     74.00 74.00 73.00 73.00 73.000 73.000 73.000 73.000 73.000 73.000
## CV residual  1.46  1.28  1.75  1.57  0.951 -0.153  0.306 -0.132  0.492  0.628
##              1819  1859  1864   1889  1895   1909  1912   1926  1953  1954
## Predicted   74.16 75.98 76.12 73.220 76.43 72.073 72.67 73.306 70.56 71.32
## cvpred      74.25 76.12 76.17 73.217 76.58 72.075 72.69 73.321 70.55 71.38
## overall     73.00 73.00 73.00 73.000 73.00 73.000 73.00 73.000 73.00 73.00
## CV residual -1.25 -3.12 -3.17 -0.217 -3.58  0.925  0.31 -0.321  2.45  1.62
##              1985   1993  2003   2005  2012  2014   2046   2059   2064   2131
## Predicted   75.03 72.480 76.20 72.791 71.42 71.64 72.279 71.277 71.516 71.534
## cvpred      75.06 72.476 76.27 72.777 71.56 71.75 72.265 71.252 71.497 71.538
## overall     73.00 73.000 73.00 73.000 73.00 73.00 72.000 72.000 72.000 72.000
## CV residual -2.06  0.524 -3.27  0.223  1.44  1.25 -0.265  0.748  0.503  0.462
##               2136  2143  2175   2183   2197    2201  2227  2231  2238 2245
## Predicted   72.583 70.49 73.15 71.739 71.530 71.9110 71.59 69.88 74.65 75.9
## cvpred      72.644 70.52 73.12 71.708 71.538 71.9653 71.68 70.01 74.77 76.0
## overall     72.000 72.00 72.00 72.000 72.000 72.0000 72.00 72.00 72.00 72.0
## CV residual -0.644  1.48 -1.12  0.292  0.462  0.0347  0.32  1.99 -2.77 -4.0
##               2251  2252   2259  2305  2311  2366   2374  2379  2402   2404
## Predicted   72.592 72.93 72.966 73.35 70.65 74.10 72.033 73.38 72.32 72.472
## cvpred      72.584 73.01 72.977 73.46 70.64 74.15 72.126 73.35 72.38 72.525
## overall     72.000 72.00 72.000 72.00 72.00 72.00 72.000 72.00 72.00 72.000
## CV residual -0.584 -1.01 -0.977 -1.46  1.36 -2.15 -0.126 -1.35 -0.38 -0.525
##              2407   2420  2437   2443   2451   2453   2465  2504   2510 2511
## Predicted   70.42 72.650 70.38 70.829 71.319 70.776 71.363 72.23 70.827 70.0
## cvpred      70.48 72.677 70.38 70.872 71.331 70.725 71.397 72.32 70.805 70.1
## overall     72.00 72.000 72.00 71.000 71.000 71.000 71.000 71.00 71.000 71.0
## CV residual  1.52 -0.677  1.62  0.128 -0.331  0.275 -0.397 -1.32  0.195  0.9
##              2523    2534   2544   2546   2548  2561   2583   2591   2595
## Predicted   69.71 71.0040 71.446 70.297 70.582 72.57 71.247 70.383 71.575
## cvpred      69.68 71.0337 71.466 70.335 70.616 72.59 71.346 70.455 71.602
## overall     71.00 71.0000 71.000 71.000 71.000 71.00 71.000 71.000 71.000
## CV residual  1.32 -0.0337 -0.466  0.665  0.384 -1.59 -0.346  0.545 -0.602
##               2600  2601    2606  2611  2612   2643    2646   2648   2670
## Predicted   70.010 69.29 70.9783 68.91 69.81 70.389 70.9669 71.638 70.047
## cvpred      70.025 69.28 70.9496 68.92 69.75 70.459 70.9459 71.732 70.179
## overall     71.000 71.00 71.0000 71.00 71.00 71.000 71.0000 71.000 71.000
## CV residual  0.975  1.72  0.0504  2.08  1.25  0.541  0.0541 -0.732  0.821
##               2672    2682  2699  2707   2727    2738  2747  2762   2773 2776
## Predicted   70.205 70.9496 71.28 69.69 71.473 70.9314 72.12 68.76 71.199 68.9
## cvpred      70.284 70.9242 71.35 69.76 71.546 70.9699 72.18 68.85 71.179 68.8
## overall     71.000 71.0000 71.00 71.00 71.000 71.0000 71.00 71.00 71.000 71.0
## CV residual  0.716  0.0758 -0.35  1.24 -0.546  0.0301 -1.18  2.15 -0.179  2.2
##              2781     2796  2833  2864  2867   2885   2908   2929  2930  2962
## Predicted   69.68 70.95793 71.89 72.72 69.59 69.275 70.777 69.812 71.49 66.75
## cvpred      69.69 71.00911 71.91 72.73 69.57 69.238 70.715 69.824 71.45 66.82
## overall     71.00 71.00000 71.00 71.00 71.00 70.000 70.000 70.000 70.00 70.00
## CV residual  1.31 -0.00911 -0.91 -1.73  1.43  0.762 -0.715  0.176 -1.45  3.18
##               2966   2991  2993   3031  3084   3090   3093 3098  3104   3119
## Predicted   69.565 69.524 64.97 70.723 68.66 69.198 69.585 71.6 72.85 69.543
## cvpred      69.604 69.551 64.97 70.745 68.63 69.195 69.607 71.6 72.85 69.597
## overall     70.000 70.000 70.00 70.000 70.00 70.000 70.000 70.0 70.00 70.000
## CV residual  0.396  0.449  5.03 -0.745  1.37  0.805  0.393 -1.6 -2.85  0.403
##               3214  3219   3245  3255  3272  3276   3283  3319  3321   3325
## Predicted   69.756 71.63 68.995 71.16 71.26 67.73 70.259 71.25 72.19 69.193
## cvpred      69.714 71.68 69.043 71.15 71.21 67.73 70.337 71.24 72.28 69.216
## overall     70.000 70.00 70.000 70.00 70.00 70.00 70.000 70.00 70.00 70.000
## CV residual  0.286 -1.68  0.957 -1.15 -1.21  2.27 -0.337 -1.24 -2.28  0.784
##               3339   3342   3355  3361   3374  3378  3384   3397  3420   3431
## Predicted   69.103 69.100 70.792 71.15 69.310 71.66 70.51 69.384 70.51 69.062
## cvpred      69.111 69.107 70.866 71.19 69.386 71.71 70.49 69.422 70.56 69.129
## overall     70.000 70.000 70.000 70.00 69.000 69.00 69.00 69.000 69.00 69.000
## CV residual  0.889  0.893 -0.866 -1.19 -0.386 -2.71 -1.49 -0.422 -1.56 -0.129
##               3450  3457   3478   3489    3497 3507   3517   3518   3526   3531
## Predicted   69.370 70.45 68.473 69.120 69.0039 67.5 68.794 69.268 68.034 68.856
## cvpred      69.385 70.52 68.455 69.135 69.0402 67.5 68.856 69.358 68.042 68.858
## overall     69.000 69.00 69.000 69.000 69.0000 69.0 69.000 69.000 69.000 69.000
## CV residual -0.385 -1.52  0.545 -0.135 -0.0402  1.5  0.144 -0.358  0.958  0.142
##               3542  3554  3563   3564   3565   3574   3578   3587   3589   3601
## Predicted   69.706 70.36 66.13 68.854 68.646 69.400 68.637 68.807 69.276 68.613
## cvpred      69.712 70.33 66.05 68.803 68.611 69.365 68.647 68.823 69.263 68.609
## overall     69.000 69.00 69.00 69.000 69.000 69.000 69.000 69.000 69.000 69.000
## CV residual -0.712 -1.33  2.95  0.197  0.389 -0.365  0.353  0.177 -0.263  0.391
##              3602   3610   3624   3625  3628 3631   3646   3668   3701    3705
## Predicted   69.95 69.928 68.511 68.422 70.26 48.4 69.760 69.374 68.123 69.0409
## cvpred      69.95 69.837 68.532 68.454 70.29 48.2 69.788 69.358 68.147 69.0448
## overall     69.00 69.000 69.000 69.000 69.00 69.0 69.000 69.000 69.000 69.0000
## CV residual -0.95 -0.837  0.468  0.546 -1.29 20.8 -0.788 -0.358  0.853 -0.0448
##              3716  3717   3745   3759  3760   3762   3765  3806   3825   3828
## Predicted   70.57 70.61 68.823 68.429 68.01 68.843 69.808 66.54 69.245 68.853
## cvpred      70.61 70.67 68.837 68.369 67.98 68.854 69.852 66.41 69.328 68.843
## overall     69.00 69.00 69.000 69.000 69.00 69.000 69.000 69.00 69.000 69.000
## CV residual -1.61 -1.67  0.163  0.631  1.02  0.146 -0.852  2.59 -0.328  0.157
##              3829   3859   3862   3872   3888  3890  3891   3893  3910   3920
## Predicted   71.63 68.764 67.685 67.756 68.430 69.96 66.74 68.687 70.36 67.432
## cvpred      71.63 68.742 67.647 67.835 68.477 69.94 66.74 68.681 70.39 67.421
## overall     69.00 68.000 68.000 68.000 68.000 68.00 68.00 68.000 68.00 68.000
## CV residual -2.63 -0.742  0.353  0.165 -0.477 -1.94  1.26 -0.681 -2.39  0.579
##               3925  3984   4012 4032  4037   4039  4044  4050  4079   4127
## Predicted   67.729 69.23 68.389 64.9 67.93 67.593 66.54 70.87 66.60 68.368
## cvpred      67.747 69.18 68.353 64.8 67.88 67.535 66.47 70.89 66.61 68.332
## overall     68.000 68.00 68.000 68.0 68.00 68.000 68.00 68.00 68.00 68.000
## CV residual  0.253 -1.18 -0.353  3.2  0.12  0.465  1.53 -2.89  1.39 -0.332
##              4136   4143   4144  4156   4170  4181  4191   4238   4240  4242
## Predicted   71.95 67.903 68.363 69.42 68.187 70.01 70.27 68.787 68.209 66.38
## cvpred      72.01 67.771 68.427 69.37 68.184 70.05 70.27 68.755 68.254 66.25
## overall     68.00 68.000 68.000 68.00 68.000 68.00 68.00 68.000 68.000 68.00
## CV residual -4.01  0.229 -0.427 -1.37 -0.184 -2.05 -2.27 -0.755 -0.254  1.75
##               4243     4276 4280   4288  4293   4306  4308  4313   4357   4390
## Predicted   67.502 68.03264 66.7 67.415 65.07 68.566 69.05 69.73 66.111 67.436
## cvpred      67.508 68.00886 66.7 67.427 65.06 68.564 69.01 69.77 66.005 67.438
## overall     68.000 68.00000 68.0 68.000 68.00 68.000 68.00 68.00 67.000 67.000
## CV residual  0.492 -0.00886  1.3  0.573  2.94 -0.564 -1.01 -1.77  0.995 -0.438
##              4410   4420   4438   4447  4466  4486 4496   4497  4510   4520
## Predicted   68.11 67.430 66.544 67.702 69.47 69.15 65.9 66.125 68.60 67.762
## cvpred      68.23 67.364 66.474 67.692 69.48 69.18 65.8 66.124 68.62 67.754
## overall     67.00 67.000 67.000 67.000 67.00 67.00 67.0 67.000 67.00 67.000
## CV residual -1.23 -0.364  0.526 -0.692 -2.48 -2.18  1.2  0.876 -1.62 -0.754
##               4551   4560   4570   4586   4601   4616   4632  4639   4649
## Predicted   66.817 67.828 66.327 67.630 66.676 66.859 67.628 68.23 67.137
## cvpred      66.852 67.811 66.297 67.606 66.608 66.822 67.662 68.23 67.121
## overall     67.000 67.000 67.000 67.000 67.000 67.000 67.000 67.00 67.000
## CV residual  0.148 -0.811  0.703 -0.606  0.392  0.178 -0.662 -1.23 -0.121
##               4652  4658  4659  4660  4668   4695  4701  4725   4726   4751
## Predicted   67.110 69.19 65.90 65.89 70.10 66.706 68.10 66.54 67.570 66.302
## cvpred      67.111 69.17 65.91 65.84 70.05 66.764 68.03 66.46 67.523 66.342
## overall     67.000 67.00 67.00 67.00 67.00 67.000 67.00 67.00 67.000 67.000
## CV residual -0.111 -2.17  1.09  1.16 -3.05  0.236 -1.03  0.54 -0.523  0.658
##               4762  4764   4766  4788  4789 4790   4793  4800  4806   4811
## Predicted   66.028 68.74 67.616 64.72 65.16 70.1 66.367 65.82 69.25 68.006
## cvpred      66.063 68.75 67.677 64.68 65.22 70.0 66.378 65.81 69.21 67.996
## overall     67.000 67.00 67.000 67.00 67.00 67.0 67.000 67.00 67.00 67.000
## CV residual  0.937 -1.75 -0.677  2.32  1.78 -3.0  0.622  1.19 -2.21 -0.996
##               4822  4842  4853  4872  4911  4915    4916  4925    4933   4941
## Predicted   66.146 64.16 67.46 61.22 64.39 63.81 65.8903 69.23 65.9708 65.715
## cvpred      66.129 64.07 67.44 61.08 64.34 63.79 65.9371 69.22 65.9283 65.681
## overall     67.000 66.00 66.00 66.00 66.00 66.00 66.0000 66.00 66.0000 66.000
## CV residual  0.871  1.93 -1.44  4.92  1.66  2.21  0.0629 -3.22  0.0717  0.319
##               5005   5013   5019   5025    5026   5029   5030  5055  5057 5059
## Predicted   66.728 66.488 66.796 66.737 66.0833 66.355 66.599 67.33 64.84 64.0
## cvpred      66.695 66.544 66.743 66.782 66.0443 66.279 66.561 67.32 64.89 63.9
## overall     66.000 66.000 66.000 66.000 66.0000 66.000 66.000 66.00 66.00 66.0
## CV residual -0.695 -0.544 -0.743 -0.782 -0.0443 -0.279 -0.561 -1.32  1.11  2.1
##              5077   5080  5106  5115  5135  5184   5188  5189  5203   5211
## Predicted   64.16 66.332 67.71 63.66 68.53 67.28 66.805 69.28 66.46 66.355
## cvpred      64.19 66.248 67.71 63.71 68.51 67.32 66.799 69.24 66.39 66.424
## overall     66.00 66.000 66.00 66.00 66.00 66.00 66.000 66.00 66.00 66.000
## CV residual  1.81 -0.248 -1.71  2.29 -2.51 -1.32 -0.799 -3.24 -0.39 -0.424
##               5212   5221  5229  5232    5266 5281   5284  5287   5308  5312
## Predicted   66.325 65.492 67.69 68.07 66.0646   67 65.616 62.72 65.576 68.52
## cvpred      66.285 65.497 67.64 68.12 66.0154   67 65.546 62.64 65.564 68.57
## overall     66.000 66.000 66.00 66.00 66.0000   66 66.000 66.00 66.000 66.00
## CV residual -0.285  0.503 -1.64 -2.12 -0.0154   -1  0.454  3.36  0.436 -2.57
##              5340   5354   5370 5377   5405 5416  5437   5450  5452   5458
## Predicted   66.59 64.747 65.216 63.2 65.942 66.3 66.19 65.935 66.60 64.796
## cvpred      66.67 64.746 65.297 63.1 65.747 66.2 66.23 65.876 66.62 64.761
## overall     65.00 65.000 65.000 65.0 65.000 65.0 65.00 65.000 65.00 65.000
## CV residual -1.67  0.254 -0.297  1.9 -0.747 -1.2 -1.23 -0.876 -1.62  0.239
##               5482  5483   5488  5495   5505   5518   5536  5547  5554  5565
## Predicted   64.741 60.03 65.087 66.12 64.625 64.762 64.187 64.17 66.44 62.40
## cvpred      64.696 59.83 65.035 66.17 64.671 64.699 64.191 64.13 66.49 62.27
## overall     65.000 65.00 65.000 65.00 65.000 65.000 65.000 65.00 65.00 65.00
## CV residual  0.304  5.17 -0.035 -1.17  0.329  0.301  0.809  0.87 -1.49  2.73
##              5577  5589   5590 5612   5620 5635  5636    5643   5658  5662
## Predicted   66.35 65.32 65.150 53.6 64.159 66.6 68.07 65.1100 64.477 66.47
## cvpred      66.29 65.29 65.121 53.4 64.196 66.6 68.11 64.9895 64.351 66.43
## overall     65.00 65.00 65.000 65.0 65.000 65.0 65.00 65.0000 65.000 65.00
## CV residual -1.29 -0.29 -0.121 11.6  0.804 -1.6 -3.11  0.0105  0.649 -1.43
##              5686  5728   5729  5743   5760    5765      5772   5779   5806
## Predicted   66.66 65.21 64.746 69.89 64.645 64.9364  6.50e+01 65.029 64.599
## cvpred      66.56 65.22 64.621 69.92 64.571 64.9201  6.50e+01 65.115 64.552
## overall     65.00 65.00 65.000 65.00 65.000 65.0000  6.50e+01 65.000 64.000
## CV residual -1.56 -0.22  0.379 -4.92  0.429  0.0799 -9.41e-05 -0.115 -0.552
##               5809   5837   5841   5856   5860  5872 5876  5885  5887  5897
## Predicted   64.201 64.856 64.118 64.541 64.254 65.61 65.1 66.02 65.49 65.83
## cvpred      64.145 64.849 64.026 64.561 64.293 65.61 65.1 66.04 65.49 65.78
## overall     64.000 64.000 64.000 64.000 64.000 64.00 64.0 64.00 64.00 64.00
## CV residual -0.145 -0.849 -0.026 -0.561 -0.293 -1.61 -1.1 -2.04 -1.49 -1.78
##               5899   5902 5914   5915   5939    5941   5944   5952   5981  5984
## Predicted   63.376 63.171 48.5 64.819 64.364 64.1270 64.565 64.463 63.569 65.39
## cvpred      63.388 63.161 48.1 64.857 64.397 64.0504 64.533 64.437 63.468 65.38
## overall     64.000 64.000 64.0 64.000 64.000 64.0000 64.000 64.000 64.000 64.00
## CV residual  0.612  0.839 15.9 -0.857 -0.397 -0.0504 -0.533 -0.437  0.532 -1.38
##              5995  6009   6021   6029   6031   6041  6043   6048   6050   6063
## Predicted   65.70 65.94 64.818 64.891 64.424 63.448 65.45 63.246 64.755 63.334
## cvpred      65.66 65.87 64.757 64.864 64.291 63.433 65.34 63.262 64.695 63.287
## overall     64.00 64.00 64.000 64.000 64.000 64.000 64.00 64.000 64.000 64.000
## CV residual -1.66 -1.87 -0.757 -0.864 -0.291  0.567 -1.34  0.738 -0.695  0.713
##              6075  6077  6094  6099   6100  6121   6135  6150  6160   6227
## Predicted   62.73 65.64 65.49 64.22 63.919 65.07 64.432 56.19 66.86 63.644
## cvpred      62.58 65.58 65.45 64.16 63.836 65.09 64.406 55.99 66.86 63.624
## overall     64.00 64.00 64.00 64.00 64.000 64.00 64.000 64.00 64.00 63.000
## CV residual  1.42 -1.58 -1.45 -0.16  0.164 -1.09 -0.406  8.01 -2.86 -0.624
##               6254  6269   6270   6290  6328   6331   6336   6345   6355   6368
## Predicted   63.524 62.34 63.746 63.714 65.12 62.585 63.653 63.262 63.407 62.732
## cvpred      63.427 62.26 63.666 63.687 65.16 62.474 63.661 63.238 63.378 62.671
## overall     63.000 63.00 63.000 63.000 63.00 63.000 63.000 63.000 63.000 63.000
## CV residual -0.427  0.74 -0.666 -0.687 -2.16  0.526 -0.661 -0.238 -0.378  0.329
##              6382   6416   6424  6425   6427   6435  6439  6445   6482   6485
## Predicted   64.40 62.845 63.948 65.11 62.783 64.039 64.26 64.55 62.307 61.529
## cvpred      64.35 62.746 63.854 65.03 62.669 63.957 64.19 64.55 62.281 61.489
## overall     63.00 63.000 63.000 63.00 63.000 63.000 63.00 63.00 62.000 62.000
## CV residual -1.35  0.254 -0.854 -2.03  0.331 -0.957 -1.19 -1.55 -0.281  0.511
##               6486   6491  6537   6546  6547   6562  6575 6588   6621  6629
## Predicted   62.866 62.259 61.05 61.239 63.51 62.697 61.74 63.2 62.802 63.81
## cvpred      62.687 62.239 60.99 61.256 63.47 62.697 61.75 63.2 62.723 63.76
## overall     62.000 62.000 62.00 62.000 62.00 62.000 62.00 62.0 62.000 62.00
## CV residual -0.687 -0.239  1.01  0.744 -1.47 -0.697  0.25 -1.2 -0.723 -1.76
##               6661   6664  6675  6678   6713  6729  6753  6770   6789  6791
## Predicted   62.457 61.462 63.65 64.05 61.179 61.45 62.70 61.61 61.285 64.73
## cvpred      62.331 61.304 63.61 64.02 61.158 61.34 62.64 61.53 61.221 64.68
## overall     62.000 62.000 62.00 62.00 61.000 61.00 61.00 61.00 61.000 61.00
## CV residual -0.331  0.696 -1.61 -2.02 -0.158 -0.34 -1.64 -0.53 -0.221 -3.68
##               6794   6798     6814  6825  6827  6833  6841   6842   6849  6855
## Predicted   60.330 61.543 61.09980 63.68 62.46 62.71 64.36 60.771 61.697 58.65
## cvpred      60.152 61.407 61.00362 63.62 62.45 62.67 64.31 60.727 61.705 58.63
## overall     61.000 61.000 61.00000 61.00 61.00 61.00 61.00 61.000 61.000 60.00
## CV residual  0.848 -0.407 -0.00362 -2.62 -1.45 -1.67 -3.31  0.273 -0.705  1.37
##              6865   6870  6872  6877   6889   6895  6913   6915  6917    6940
## Predicted   61.14 60.824 58.72 61.26 60.581 60.287 63.57 59.417 62.16 59.9275
## cvpred      61.14 60.822 58.74 61.28 60.559 60.332 63.51 59.335 62.09 59.9788
## overall     60.00 60.000 60.00 60.00 60.000 60.000 60.00 60.000 60.00 60.0000
## CV residual -1.14 -0.822  1.26 -1.28 -0.559 -0.332 -3.51  0.665 -2.09  0.0212
##             6953  6965  6967   6970  6980  6988   7020  7025    7061   7080
## Predicted   61.1 61.15 63.22 59.994 56.28 61.27 59.465 59.40 58.8830 58.335
## cvpred      61.1 61.09 63.13 59.891 56.21 61.21 59.432 59.39 58.9001 58.269
## overall     60.0 60.00 60.00 60.000 59.00 59.00 59.000 59.00 59.0000 58.000
## CV residual -1.1 -1.09 -3.13  0.109  2.79 -2.21 -0.432 -0.39  0.0999 -0.269
##               7092  7104  7109    7119   7152  7161  7165  7169  7173 7174
## Predicted   58.912 57.02 60.39 58.0287 56.822 58.85 58.33 58.30 62.04 59.6
## cvpred      58.926 56.99 60.37 58.0172 56.799 58.74 58.28 58.28 61.94 59.5
## overall     58.000 58.00 58.00 58.0000 57.000 57.00 57.00 57.00 57.00 57.0
## CV residual -0.926  1.01 -2.37 -0.0172  0.201 -1.74 -1.28 -1.28 -4.94 -2.5
##              7186  7192  7218   7238
## Predicted   57.61 58.60 56.11 54.320
## cvpred      57.58 58.55 56.04 54.259
## overall     56.00 56.00 55.00 54.000
## CV residual -1.58 -2.55 -1.04 -0.259
## 
## Sum of squares = 1960    Mean square = 3.69    n = 531 
## 
## fold 2 
## Observations in test set: 532 
##                12    19    54    89   133    145   169   204   221    223
## Predicted   86.31 86.61 84.22 83.52 82.02 82.928 81.34 80.87 78.13 81.242
## cvpred      86.27 86.61 84.18 83.61 81.96 82.869 81.33 80.88 78.21 81.191
## overall     89.00 89.00 86.00 85.00 83.00 83.000 83.00 82.00 82.00 82.000
## CV residual  2.73  2.39  1.82  1.39  1.04  0.131  1.67  1.12  3.79  0.809
##                240   263   302   313     341   351    365   389    396   397
## Predicted   82.848 82.09 81.43 82.95 80.0026 78.89 80.637 78.46 79.740 78.54
## cvpred      82.888 82.09 81.44 82.95 79.9588 78.87 80.578 78.49 79.784 78.49
## overall     82.000 81.00 81.00 81.00 80.0000 80.00 80.000 80.00 80.000 80.00
## CV residual -0.888 -1.09 -0.44 -1.95  0.0412  1.13 -0.578  1.51  0.216  1.51
##                413   433    440    466    490   501    512    519    536   584
## Predicted   79.864 80.58 78.561 78.424 78.392 77.12 78.586 79.141 79.548 76.81
## cvpred      79.802 80.63 78.537 78.431 78.347 77.09 78.603 79.192 79.571 76.79
## overall     80.000 79.00 79.000 79.000 79.000 79.00 79.000 79.000 79.000 78.00
## CV residual  0.198 -1.63  0.463  0.569  0.653  1.91  0.397 -0.192 -0.571  1.21
##                619   651    684   687    688  700    702    703   724   726
## Predicted   77.431 75.97 77.557 76.07 78.294 76.4 77.421 78.334 78.60 75.30
## cvpred      77.511 75.94 77.611 76.02 78.266 76.4 77.447 78.348 78.56 75.28
## overall     78.000 78.00 78.000 78.00 78.000 78.0 78.000 78.000 77.00 77.00
## CV residual  0.489  2.06  0.389  1.98 -0.266  1.6  0.553 -0.348 -1.56  1.72
##               737    768    787   818   845    852   854   888    889   890
## Predicted   75.55 77.863 76.481 76.00 75.45 76.649 75.61 74.95 75.504 74.11
## cvpred      75.48 77.897 76.539 75.97 75.44 76.702 75.63 74.88 75.502 74.09
## overall     77.00 77.000 77.000 77.00 77.00 77.000 77.00 76.00 76.000 76.00
## CV residual  1.52 -0.897  0.461  1.03  1.56  0.298  1.37  1.12  0.498  1.91
##                896   902    911     928    935    938    958   967   980    997
## Predicted   75.542 74.56 75.575 76.0212 76.349 76.117 76.210 77.44 73.83 75.747
## cvpred      75.511 74.55 75.577 76.0242 76.396 76.125 76.312 77.55 73.77 75.749
## overall     76.000 76.00 76.000 76.0000 76.000 76.000 76.000 76.00 76.00 76.000
## CV residual  0.489  1.45  0.423 -0.0242 -0.396 -0.125 -0.312 -1.55  2.23  0.251
##                999   1005   1011   1049   1058  1059  1066  1069  1110  1121
## Predicted   75.398 75.289 75.394 75.443 76.319 74.22 74.86 75.84 73.37 72.75
## cvpred      75.419 75.378 75.463 75.438 76.362 74.24 74.86 75.84 73.28 72.73
## overall     76.000 76.000 76.000 76.000 76.000 76.00 76.00 76.00 75.00 75.00
## CV residual  0.581  0.622  0.537  0.562 -0.362  1.76  1.14  0.16  1.72  2.27
##              1123   1135   1136    1137 1146   1150  1171   1198  1211   1227
## Predicted   76.98 74.099 74.799 74.9935 73.6 75.397 76.71 74.035 73.52 74.497
## cvpred      76.98 74.109 74.809 75.0675 73.6 75.346 76.75 74.075 73.57 74.488
## overall     75.00 75.000 75.000 75.0000 75.0 75.000 75.00 75.000 75.00 75.000
## CV residual -1.98  0.891  0.191 -0.0675  1.4 -0.346 -1.75  0.925  1.43  0.512
##              1229   1251   1303  1309   1322  1323   1336   1381   1385  1390
## Predicted   75.98 75.322 74.007 73.47 74.027 76.28 74.740 73.566 73.631 72.83
## cvpred      76.07 75.399 74.064 73.46 74.006 76.33 74.775 73.553 73.565 72.74
## overall     75.00 75.000 75.000 75.00 75.000 75.00 75.000 74.000 74.000 74.00
## CV residual -1.07 -0.399  0.936  1.54  0.994 -1.33  0.225  0.447  0.435  1.26
##             1391    1394  1420   1455   1458  1487   1498  1501  1548  1555
## Predicted   60.8 73.9446 72.94 73.692 73.061 72.54 73.025 76.50 72.31 72.25
## cvpred      60.9 73.9353 72.88 73.665 73.126 72.56 73.022 76.59 72.25 72.28
## overall     74.0 74.0000 74.00 74.000 74.000 74.00 74.000 74.00 74.00 74.00
## CV residual 13.1  0.0647  1.12  0.335  0.874  1.44  0.978 -2.59  1.75  1.72
##              1564   1569  1582  1586  1596  1600 1601  1620   1624  1625   1626
## Predicted   72.63 74.666 72.38 75.85 75.29 70.07 74.1 76.16 73.649 73.11 73.304
## cvpred      72.62 74.711 72.35 75.94 75.34 70.08 74.1 76.19 73.657 73.08 73.318
## overall     74.00 74.000 74.00 74.00 74.00 74.00 74.0 74.00 74.000 74.00 74.000
## CV residual  1.38 -0.711  1.65 -1.94 -1.34  3.92 -0.1 -2.19  0.343  0.92  0.682
##             1627   1659  1663   1666  1667   1680   1700  1701   1717  1721
## Predicted   72.7 72.816 71.77 72.246 71.98 73.942 71.976 71.64 73.860 71.98
## cvpred      72.7 72.734 71.82 72.237 71.94 73.943 72.066 71.54 73.892 71.98
## overall     74.0 73.000 73.00 73.000 73.00 73.000 73.000 73.00 73.000 73.00
## CV residual  1.3  0.266  1.18  0.763  1.06 -0.943  0.934  1.46 -0.892  1.02
##              1729   1731   1737  1777   1790 1795   1809  1824  1831  1835
## Predicted   71.85 72.857 73.637 70.51 72.731 70.5 73.472 71.29 71.08 75.17
## cvpred      71.84 72.878 73.683 70.54 72.694 70.5 73.491 71.26 71.08 75.21
## overall     73.00 73.000 73.000 73.00 73.000 73.0 73.000 73.00 73.00 73.00
## CV residual  1.16  0.122 -0.683  2.46  0.306  2.5 -0.491  1.74  1.92 -2.21
##               1851  1860   1878  1883   1902   1943   1990  1991   2035
## Predicted   72.705 71.73 73.511 70.15 73.430 73.654 73.697 70.82 72.405
## cvpred      72.778 71.72 73.519 70.05 73.478 73.707 73.757 70.78 72.426
## overall     73.000 73.00 73.000 73.00 73.000 73.000 73.000 73.00 72.000
## CV residual  0.222  1.28 -0.519  2.95 -0.478 -0.707 -0.757  2.22 -0.426
##                 2036   2047  2055  2076   2088   2090  2106   2115  2145   2164
## Predicted   71.97933 72.235 70.76 70.49 71.370 71.945 75.08 71.054 70.63 71.627
## cvpred      72.00103 72.176 70.67 70.55 71.385 71.872 75.07 71.035 70.58 71.644
## overall     72.00000 72.000 72.00 72.00 72.000 72.000 72.00 72.000 72.00 72.000
## CV residual -0.00103 -0.176  1.33  1.45  0.615  0.128 -3.07  0.965  1.42  0.356
##               2169  2179   2181    2187   2189  2204   2205   2221  2240   2243
## Predicted   72.524 69.78 71.051 71.9159 72.219 70.40 72.983 71.605 75.82 71.846
## cvpred      72.457 69.75 71.048 71.9345 72.225 70.41 72.971 71.582 75.82 71.802
## overall     72.000 72.00 72.000 72.0000 72.000 72.00 72.000 72.000 72.00 72.000
## CV residual -0.457  2.25  0.952  0.0655 -0.225  1.59 -0.971  0.418 -3.82  0.198
##              2253   2263  2280   2283   2304  2310   2314   2315  2321  2393
## Predicted   73.02 71.389 70.20 71.517 72.124 74.10 72.580 72.538 72.97 73.55
## cvpred      73.03 71.392 70.19 71.552 72.115 74.14 72.588 72.524 73.04 73.55
## overall     72.00 72.000 72.00 72.000 72.000 72.00 72.000 72.000 72.00 72.00
## CV residual -1.03  0.608  1.81  0.448 -0.115 -2.14 -0.588 -0.524 -1.04 -1.55
##               2394   2400   2500   2526  2530  2537  2580   2582  2587  2594
## Predicted   71.932 71.804 70.631 71.138 69.34 69.55 72.23 70.184 72.66 72.14
## cvpred      71.871 71.816 70.617 71.161 69.31 69.59 72.24 70.201 72.71 72.12
## overall     72.000 72.000 71.000 71.000 71.00 71.00 71.00 71.000 71.00 71.00
## CV residual  0.129  0.184  0.383 -0.161  1.69  1.41 -1.24  0.799 -1.71 -1.12
##               2608   2615  2628   2661   2679   2680  2681    2683   2705  2740
## Predicted   71.410 71.720 69.81 70.191 70.717 71.081 69.62 71.0762 71.751 69.68
## cvpred      71.422 71.823 69.79 70.132 70.732 71.114 69.56 71.0843 71.793 69.61
## overall     71.000 71.000 71.00 71.000 71.000 71.000 71.00 71.0000 71.000 71.00
## CV residual -0.422 -0.823  1.21  0.868  0.268 -0.114  1.44 -0.0843 -0.793  1.39
##               2779  2814   2825  2826  2862  2881  2890   2897  2911   2933
## Predicted   70.356 75.21 71.406 72.16 69.61 67.41 66.18 69.158 68.84 69.860
## cvpred      70.352 75.21 71.498 72.21 69.59 67.37 66.17 69.183 68.83 69.847
## overall     71.000 71.00 71.000 71.00 71.00 70.00 70.00 70.000 70.00 70.000
## CV residual  0.648 -4.21 -0.498 -1.21  1.41  2.63  3.83  0.817  1.17  0.153
##               2952   2963   2972  2988   2990 3021   3041  3051   3058  3063
## Predicted   70.174 69.232 69.244 68.14 70.878   71 69.078 66.52 70.458 68.98
## cvpred      70.184 69.202 69.256 68.07 70.911   71 69.088 66.55 70.471 68.97
## overall     70.000 70.000 70.000 70.00 70.000   70 70.000 70.00 70.000 70.00
## CV residual -0.184  0.798  0.744  1.93 -0.911   -1  0.912  3.45 -0.471  1.03
##              3095  3102  3115  3159  3167  3171   3175 3179 3185  3188   3200
## Predicted   71.77 69.37 71.56 75.12 69.34 72.65 70.804 72.5 68.6 71.55 69.512
## cvpred      71.86 69.34 71.62 75.14 69.34 72.67 70.873 72.5 68.5 71.61 69.486
## overall     70.00 70.00 70.00 70.00 70.00 70.00 70.000 70.0 70.0 70.00 70.000
## CV residual -1.86  0.66 -1.62 -5.14  0.66 -2.67 -0.873 -2.5  1.5 -1.61  0.514
##               3212   3216  3253    3256  3271   3275 3282   3294  3298  3305
## Predicted   70.763 70.742 66.68 70.0375 68.71 70.332 72.4 70.341 71.02 70.37
## cvpred      70.843 70.756 66.76 69.9715 68.71 70.301 72.4 70.358 71.02 70.36
## overall     70.000 70.000 70.00 70.0000 70.00 70.000 70.0 70.000 70.00 70.00
## CV residual -0.843 -0.756  3.24  0.0285  1.29 -0.301 -2.4 -0.358 -1.02 -0.36
##              3317   3343  3351  3364  3381   3392   3408 3436    3439   3460
## Predicted   68.14 69.475 72.90 68.23 67.24 69.910 68.871 67.7 68.9456 68.847
## cvpred      68.17 69.518 72.89 68.18 67.29 69.889 68.889 67.7 68.9452 68.838
## overall     70.00 70.000 70.00 70.00 69.00 69.000 69.000 69.0 69.0000 69.000
## CV residual  1.83  0.482 -2.89  1.82  1.71 -0.889  0.111  1.3  0.0548  0.162
##               3463   3496   3515   3520  3522    3543    3545  3594  3596
## Predicted   69.963 68.502 68.602 69.247 71.21 69.1158 69.0015 69.27 71.00
## cvpred      69.969 68.447 68.577 69.208 71.25 69.0566 68.9683 69.25 71.02
## overall     69.000 69.000 69.000 69.000 69.00 69.0000 69.0000 69.00 69.00
## CV residual -0.969  0.553  0.423 -0.208 -2.25 -0.0566  0.0317 -0.25 -2.02
##               3607  3651  3655  3662   3673   3678    3702   3703  3706  3713
## Predicted   69.800 73.53 70.73 67.36 69.890 68.420 68.8979 69.246 70.54 66.92
## cvpred      69.821 73.64 70.78 67.32 69.976 68.395 68.9704 69.281 70.58 66.91
## overall     69.000 69.00 69.00 69.00 69.000 69.000 69.0000 69.000 69.00 69.00
## CV residual -0.821 -4.64 -1.78  1.68 -0.976  0.605  0.0296 -0.281 -1.58  2.09
##              3720  3742   3761  3763  3766   3778 3781   3792  3796   3810
## Predicted   71.21 70.60 69.620 70.31 66.71 69.930 70.7 69.404 66.18 69.525
## cvpred      71.26 70.64 69.646 70.37 66.66 69.943 70.8 69.466 66.19 69.491
## overall     69.00 69.00 69.000 69.00 69.00 69.000 69.0 69.000 69.00 69.000
## CV residual -2.26 -1.64 -0.646 -1.37  2.34 -0.943 -1.8 -0.466  2.81 -0.491
##              3816 3849   3850 3858   3878  3909  3951   3970    3973   4007
## Predicted   69.32 70.6 67.558 65.9 67.663 61.00 68.61 67.403 67.8722 68.469
## cvpred      69.36 70.6 67.503 65.9 67.741 61.06 68.55 67.327 67.9165 68.459
## overall     69.00 68.0 68.000 68.0 68.000 68.00 68.00 68.000 68.0000 68.000
## CV residual -0.36 -2.6  0.497  2.1  0.259  6.94 -0.55  0.673  0.0835 -0.459
##              4023  4047   4049  4139   4150   4154  4162 4176   4179   4186
## Predicted   70.71 67.03 67.518 68.92 68.279 67.818 69.24 70.9 67.880 67.836
## cvpred      70.77 66.99 67.562 69.02 68.242 67.793 69.27 70.9 67.864 67.848
## overall     68.00 68.00 68.000 68.00 68.000 68.000 68.00 68.0 68.000 68.000
## CV residual -2.77  1.01  0.438 -1.02 -0.242  0.207 -1.27 -2.9  0.136  0.152
##               4202   4207   4235   4239   4247   4252  4264   4269   4296 4360
## Predicted   68.525 68.097 67.102 67.455 68.410 67.215 69.17 67.155 67.838 65.7
## cvpred      68.557 68.161 67.093 67.483 68.397 67.302 69.22 67.088 67.762 65.7
## overall     68.000 68.000 68.000 68.000 68.000 68.000 68.00 68.000 68.000 67.0
## CV residual -0.557 -0.161  0.907  0.517 -0.397  0.698 -1.22  0.912  0.238  1.3
##               4372 4399   4417  4425 4426    4435    4467   4490   4518   4540
## Predicted   66.665 64.8 66.073 68.69 68.3 67.0572 66.9696 66.611 66.708 67.321
## cvpred      66.595 64.8 66.053 68.73 68.3 67.0426 67.0605 66.592 66.694 67.323
## overall     67.000 67.0 67.000 67.00 67.0 67.0000 67.0000 67.000 67.000 67.000
## CV residual  0.405  2.2  0.947 -1.73 -1.3 -0.0426 -0.0605  0.408  0.306 -0.323
##               4589  4604  4611    4618  4636    4644   4650   4651   4665  4672
## Predicted   67.301 64.92 68.70 66.9308 61.69 66.8828 67.653 66.698 67.877 68.50
## cvpred      67.287 64.87 68.65 66.9478 61.87 66.9312 67.677 66.721 67.909 68.53
## overall     67.000 67.00 67.00 67.0000 67.00 67.0000 67.000 67.000 67.000 67.00
## CV residual -0.287  2.13 -1.65  0.0522  5.13  0.0688 -0.677  0.279 -0.909 -1.53
##                 4685   4690 4691  4696   4706  4718   4732   4741  4746  4760
## Predicted   66.95452 67.133 69.7 68.17 67.195 70.68 65.972 67.252 68.19 68.38
## cvpred      66.99178 67.248 69.7 68.21 67.204 70.71 66.047 67.257 68.13 68.44
## overall     67.00000 67.000 67.0 67.00 67.000 67.00 67.000 67.000 67.00 67.00
## CV residual  0.00822 -0.248 -2.7 -1.21 -0.204 -3.71  0.953 -0.257 -1.13 -1.44
##               4797  4816   4826   4830  4841  4848  4863  4867  4869   4873
## Predicted   66.175 69.79 67.135 66.862 64.80 68.00 67.17 67.51 64.61 66.612
## cvpred      66.159 69.82 67.137 66.893 64.83 68.05 67.15 67.54 64.59 66.674
## overall     67.000 67.00 67.000 66.000 66.00 66.00 66.00 66.00 66.00 66.000
## CV residual  0.841 -2.82 -0.137 -0.893  1.17 -2.05 -1.15 -1.54  1.41 -0.674
##               4903    4912  4913  4921  4923   4928    4994   4998  5034  5046
## Predicted   65.303 65.9532 66.69 64.03 64.02 66.555 66.0475 65.635 67.00 64.47
## cvpred      65.287 65.9789 66.65 64.06 64.11 66.575 66.0446 65.663 67.02 64.45
## overall     66.000 66.0000 66.00 66.00 66.00 66.000 66.0000 66.000 66.00 66.00
## CV residual  0.713  0.0211 -0.65  1.94  1.89 -0.575 -0.0446  0.337 -1.02  1.55
##             5072    5075   5079  5095   5098  5101  5105   5136 5138 5144
## Predicted   67.9 66.0521 65.574 67.98 66.922 64.90 68.65 66.726 67.6 67.9
## cvpred      67.9 66.0105 65.557 67.99 66.941 64.97 68.75 66.751 67.6 67.9
## overall     66.0 66.0000 66.000 66.00 66.000 66.00 66.00 66.000 66.0 66.0
## CV residual -1.9 -0.0105  0.443 -1.99 -0.941  1.03 -2.75 -0.751 -1.6 -1.9
##               5157  5171  5173   5179  5195   5202   5209    5219   5220   5225
## Predicted   66.210 67.91 67.01 66.489 67.06 66.301 66.110 66.0838 66.575 66.228
## cvpred      66.268 67.97 67.06 66.463 67.03 66.337 66.107 66.0967 66.605 66.306
## overall     66.000 66.00 66.00 66.000 66.00 66.000 66.000 66.0000 66.000 66.000
## CV residual -0.268 -1.97 -1.06 -0.463 -1.03 -0.337 -0.107 -0.0967 -0.605 -0.306
##               5257   5262  5288 5292   5295   5314  5326  5369  5396  5398
## Predicted   65.214 66.783 64.53 65.8 66.874 65.723 66.06 67.94 65.12 67.03
## cvpred      65.192 66.799 64.61 65.8 66.911 65.753 66.16 67.94 65.16 67.01
## overall     66.000 66.000 66.00 66.0 66.000 66.000 65.00 65.00 65.00 65.00
## CV residual  0.808 -0.799  1.39  0.2 -0.911  0.247 -1.16 -2.94 -0.16 -2.01
##               5400  5442   5445   5476   5481    5491 5502   5503  5533  5537
## Predicted   65.088 66.17 64.268 65.250 64.350 64.9961   64 65.725 66.67 66.04
## cvpred      65.152 66.18 64.274 65.259 64.282 64.9821   64 65.663 66.68 66.07
## overall     65.000 65.00 65.000 65.000 65.000 65.0000   65 65.000 65.00 65.00
## CV residual -0.152 -1.18  0.726 -0.259  0.718  0.0179    1 -0.663 -1.68 -1.07
##              5544  5553   5572   5579  5582  5600   5606  5609   5614   5651
## Predicted   65.68 66.39 65.994 65.148 66.35 66.54 65.488 62.18 65.146 65.646
## cvpred      65.62 66.39 65.946 65.198 66.41 66.55 65.515 62.27 65.156 65.718
## overall     65.00 65.00 65.000 65.000 65.00 65.00 65.000 65.00 65.000 65.000
## CV residual -0.62 -1.39 -0.946 -0.198 -1.41 -1.55 -0.515  2.73 -0.156 -0.718
##                5665 5683 5702   5707  5722 5739 5750  5759   5787  5792  5793
## Predicted   65.0357   66 67.1 64.704 61.97 66.1 66.4 66.26 64.960 66.23 66.32
## cvpred      65.0562   66 67.1 64.713 62.05 66.1 66.4 66.33 64.951 66.28 66.32
## overall     65.0000   65 65.0 65.000 65.00 65.0 65.0 65.00 64.000 64.00 64.00
## CV residual -0.0562   -1 -2.1  0.287  2.95 -1.1 -1.4 -1.33 -0.951 -2.28 -2.32
##              5808   5832   5833   5849   5851  5871  5879   5880     5893
## Predicted   62.47 64.291 64.433 63.207 63.493 65.24 66.52 63.713 64.04163
## cvpred      62.55 64.273 64.421 63.187 63.481 65.27 66.53 63.712 64.00847
## overall     64.00 64.000 64.000 64.000 64.000 64.00 64.00 64.000 64.00000
## CV residual  1.45 -0.273 -0.421  0.813  0.519 -1.27 -2.53  0.288 -0.00847
##               5894   5905   5910   5919  5928   5942  5948   5953 5954  5961
## Predicted   64.358 63.265 63.067 64.603 64.68 64.763 64.75 64.212 51.5 65.47
## cvpred      64.356 63.307 63.048 64.624 64.72 64.774 64.77 64.237 51.7 65.47
## overall     64.000 64.000 64.000 64.000 64.00 64.000 64.00 64.000 64.0 64.00
## CV residual -0.356  0.693  0.952 -0.624 -0.72 -0.774 -0.77 -0.237 12.3 -1.47
##              5971   5989 6036  6053   6089   6107   6109    6124  6136   6157
## Predicted   62.75 64.882 65.9 61.32 63.730 64.591 63.157 63.9687 65.64 64.436
## cvpred      62.81 64.949 66.0 61.37 63.734 64.652 63.138 64.0361 65.64 64.521
## overall     64.00 64.000 64.0 64.00 64.000 64.000 64.000 64.0000 64.00 64.000
## CV residual  1.19 -0.949 -2.0  2.63  0.266 -0.652  0.862 -0.0361 -1.64 -0.521
##               6174   6182   6201  6209  6228   6242  6249  6257   6293  6297
## Predicted   63.603 63.229 63.658 66.14 61.77 63.394 64.14 64.95 63.618 61.67
## cvpred      63.674 63.267 63.624 66.15 61.77 63.415 64.13 65.03 63.664 61.69
## overall     63.000 63.000 63.000 63.00 63.00 63.000 63.00 63.00 63.000 63.00
## CV residual -0.674 -0.267 -0.624 -3.15  1.23 -0.415 -1.13 -2.03 -0.664  1.31
##              6319  6322   6323   6337  6347 6351   6354   6357   6372  6394
## Predicted   64.24 64.47 62.705 62.037 64.10 62.9 63.597 63.468 63.194 64.42
## cvpred      64.23 64.45 62.619 62.051 64.15 62.9 63.639 63.436 63.219 64.49
## overall     63.00 63.00 63.000 63.000 63.00 63.0 63.000 63.000 63.000 63.00
## CV residual -1.23 -1.45  0.381  0.949 -1.15  0.1 -0.639 -0.436 -0.219 -1.49
##             6398  6404   6411   6414   6421   6453  6544   6552   6569  6578
## Predicted   64.8 64.56 63.066 63.387 63.736 63.704 63.49 62.120 62.351 62.80
## cvpred      64.8 64.66 63.157 63.456 63.756 63.791 63.52 62.166 62.406 62.88
## overall     63.0 63.00 63.000 63.000 63.000 63.000 62.00 62.000 62.000 62.00
## CV residual -1.8 -1.66 -0.157 -0.456 -0.756 -0.791 -1.52 -0.166 -0.406 -0.88
##                6583   6596  6603  6618  6619   6620   6642   6653   6667   6681
## Predicted   62.0070 62.943 60.27 64.83 62.30 62.387 62.782 62.527 62.390 62.265
## cvpred      62.0219 62.831 60.31 64.91 62.32 62.364 62.824 62.572 62.432 62.341
## overall     62.0000 62.000 62.00 62.00 62.00 62.000 62.000 62.000 62.000 62.000
## CV residual -0.0219 -0.831  1.69 -2.91 -0.32 -0.364 -0.824 -0.572 -0.432 -0.341
##               6723   6727   6732  6735   6768  6785  6786 6795  6805  6835
## Predicted   60.240 61.694 60.309 58.85 61.105 59.69 61.93 62.5 62.62 58.78
## cvpred      60.245 61.717 60.343 58.93 61.108 59.71 62.03 62.5 62.66 58.79
## overall     61.000 61.000 61.000 61.00 61.000 61.00 61.00 61.0 61.00 61.00
## CV residual  0.755 -0.717  0.657  2.07 -0.108  1.29 -1.03 -1.5 -1.66  2.21
##               6874   6878  6879   6882  6904   6914 6919  6922 6927   6930 6949
## Predicted   60.055 60.858 61.97 60.270 61.73 59.913 61.3 61.75 61.8 60.712 58.3
## cvpred      60.113 60.866 61.96 60.298 61.67 59.982 61.3 61.75 61.8 60.754 58.3
## overall     60.000 60.000 60.00 60.000 60.00 60.000 60.0 60.00 60.0 60.000 60.0
## CV residual -0.113 -0.866 -1.96 -0.298 -1.67  0.018 -1.3 -1.75 -1.8 -0.754  1.7
##              6958  6973   6975 6977  6992   6997 6999   7018  7033    7052
## Predicted   61.84 62.45 60.251 59.3 60.93 58.918   60 59.795 61.29 59.0647
## cvpred      61.83 62.46 60.216 59.4 60.96 58.869   60 59.759 61.35 59.0822
## overall     60.00 60.00 60.000 60.0 59.00 59.000   59 59.000 59.00 59.0000
## CV residual -1.83 -2.46 -0.216  0.6 -1.96  0.131   -1 -0.759 -2.35 -0.0822
##              7062   7064   7086  7108   7112  7126  7133  7134  7141  7142
## Predicted   60.48 59.811 57.793 59.82 58.283 60.10 61.43 58.14 58.69 61.82
## cvpred      60.56 59.849 57.827 59.83 58.408 60.11 61.46 58.26 58.62 61.82
## overall     59.00 59.000 58.000 58.00 58.000 58.00 58.00 58.00 57.00 57.00
## CV residual -1.56 -0.849  0.173 -1.83 -0.408 -2.11 -3.46 -0.26 -1.62 -4.82
##               7145  7154  7185   7189  7202 7204  7222  7232  7240  7247  7259
## Predicted   57.585 58.67 57.16 56.848 57.46 56.9 52.93 55.84 55.96 56.87 52.69
## cvpred      57.607 58.69 57.22 56.861 57.52 57.0 53.03 55.93 56.05 56.98 52.74
## overall     57.000 57.00 56.00 56.000 56.00 56.0 55.00 54.00 54.00 53.00 49.00
## CV residual -0.607 -1.69 -1.22 -0.861 -1.52 -1.0  1.97 -1.93 -2.05 -3.98 -3.74
## 
## Sum of squares = 1420    Mean square = 2.67    n = 532 
## 
## fold 3 
## Observations in test set: 531 
##                17    36    41    51    70    77   110   115   134   147   173
## Predicted   85.50 84.75 84.76 81.09 82.43 83.04 82.68 81.81 78.95 79.34 81.25
## cvpred      85.55 84.83 84.83 81.07 82.47 83.09 82.73 81.85 78.95 79.33 81.28
## overall     89.00 88.00 87.00 87.00 85.00 85.00 84.00 84.00 83.00 83.00 83.00
## CV residual  3.45  3.17  2.17  5.93  2.53  1.91  1.27  2.15  4.05  3.67  1.72
##              190    194   236   256    271   292   298    331    383    394
## Predicted   84.1 82.066 78.42 80.39 81.796 81.13 79.34 79.263 79.097 79.438
## cvpred      84.1 82.104 78.46 80.42 81.799 81.16 79.38 79.331 79.139 79.478
## overall     83.0 83.000 82.00 82.00 81.000 81.00 81.00 80.000 80.000 80.000
## CV residual -1.1  0.896  3.54  1.58 -0.799 -0.16  1.62  0.669  0.861  0.522
##                398   403  408    447    463   468   470   497    499   510
## Predicted   79.772 81.13 76.9 78.615 79.944 77.31 77.71 76.83 79.235 80.47
## cvpred      79.772 81.15 77.0 78.651 79.901 77.37 77.76 76.88 79.237 80.46
## overall     80.000 80.00 80.0 79.000 79.000 79.00 79.00 79.00 79.000 79.00
## CV residual  0.228 -1.15  3.0  0.349 -0.901  1.63  1.24  2.12 -0.237 -1.46
##               511   521   526  529    562    567   593   608   636   638
## Predicted   75.51 77.52 77.54 76.4 77.619 78.246 79.50 76.57 76.32 76.81
## cvpred      75.48 77.56 77.59 76.4 77.626 78.266 79.51 76.62 76.33 76.84
## overall     79.00 79.00 79.00 79.0 78.000 78.000 78.00 78.00 78.00 78.00
## CV residual  3.52  1.44  1.41  2.6  0.374 -0.266 -1.51  1.38  1.67  1.16
##                 669   673  696  707    718  731   744    772   773   780   782
## Predicted   78.0517 76.28 76.8 75.5 76.777 75.9 75.54 76.774 75.88 74.98 74.49
## cvpred      78.0947 76.32 76.8 75.4 76.715 75.9 75.49 76.711 75.94 75.04 74.47
## overall     78.0000 78.00 78.0 78.0 77.000 77.0 77.00 77.000 77.00 77.00 77.00
## CV residual -0.0947  1.68  1.2  2.6  0.285  1.1  1.51  0.289  1.06  1.96  2.53
##                802    817    848    857    876   894   924   925   946    975
## Predicted   77.812 76.388 77.656 76.832 75.758 74.40 74.34 74.86 74.07 76.172
## cvpred      77.749 76.406 77.639 76.873 75.736 74.38 74.39 74.89 74.04 76.186
## overall     77.000 77.000 77.000 77.000 76.000 76.00 76.00 76.00 76.00 76.000
## CV residual -0.749  0.594 -0.639  0.127  0.264  1.62  1.61  1.11  1.96 -0.186
##              1001   1009   1030   1088  1094   1105   1160   1186  1189   1213
## Predicted   77.19 75.633 75.150 75.227 73.42 75.639 74.632 75.845 73.34 74.270
## cvpred      77.17 75.617 75.182 75.214 73.47 75.642 74.664 75.814 73.31 74.234
## overall     76.00 76.000 76.000 75.000 75.00 75.000 75.000 75.000 75.00 75.000
## CV residual -1.17  0.383  0.818 -0.214  1.53 -0.642  0.336 -0.814  1.69  0.766
##               1214  1242   1254  1305  1310   1324  1345  1350   1351   1402
## Predicted   74.398 73.71 74.372 74.02 76.03 74.950 73.56 76.08 75.425 73.754
## cvpred      74.426 73.76 74.403 73.98 76.04 74.975 73.57 76.05 75.416 73.746
## overall     75.000 75.00 75.000 75.00 75.00 75.000 75.00 75.00 75.000 74.000
## CV residual  0.574  1.24  0.597  1.02 -1.04  0.025  1.43 -1.05 -0.416  0.254
##               1405   1406  1425  1426   1428  1459   1469  1473  1503   1509
## Predicted   73.151 74.366 72.77 72.66 73.521 72.93 73.019 72.75 75.83 73.559
## cvpred      73.197 74.337 72.75 72.63 73.527 72.98 73.054 72.73 75.84 73.579
## overall     74.000 74.000 74.00 74.00 74.000 74.00 74.000 74.00 74.00 74.000
## CV residual  0.803 -0.337  1.25  1.37  0.473  1.02  0.946  1.27 -1.84  0.421
##              1513  1520   1541  1559  1623   1636   1637   1683  1699    1706
## Predicted   77.59 72.69 74.890 73.02 75.45 73.688 73.208 72.835 74.16 72.9810
## cvpred      77.55 72.71 74.894 73.02 75.41 73.698 73.227 72.863 74.16 73.0245
## overall     74.00 74.00 74.000 74.00 74.00 74.000 74.000 73.000 73.00 73.0000
## CV residual -3.55  1.29 -0.894  0.98 -1.41  0.302  0.773  0.137 -1.16 -0.0245
##              1720   1762  1764  1786  1806   1814    1818 1849   1856  1869
## Predicted   73.16 73.339 71.71 72.01 75.82 72.138 72.9537 74.9 72.317 75.37
## cvpred      73.18 73.349 71.74 72.07 75.79 72.165 72.9879 74.9 72.343 75.33
## overall     73.00 73.000 73.00 73.00 73.00 73.000 73.0000 73.0 73.000 73.00
## CV residual -0.18 -0.349  1.26  0.93 -2.79  0.835  0.0121 -1.9  0.657 -2.33
##             1872  1873  1910   1916  1933   1939   1942  1956  2000    2018
## Predicted     72 71.95 75.15 73.975 74.53 72.031 73.846 71.61 71.13 73.1243
## cvpred        72 71.98 75.15 73.929 74.51 72.038 73.809 71.64 71.16 73.0711
## overall       73 73.00 73.00 73.000 73.00 73.000 73.000 73.00 73.00 73.0000
## CV residual    1  1.02 -2.15 -0.929 -1.51  0.962 -0.809  1.36  1.84 -0.0711
##              2039   2044  2066  2089   2095   2113 2122 2123   2130  2165 2176
## Predicted   73.60 71.538 70.57 70.50 71.409 72.403 69.8 71.3 71.299 70.27 70.9
## cvpred      73.58 71.499 70.63 70.51 71.376 72.411 69.8 71.3 71.333 70.32 70.9
## overall     72.00 72.000 72.00 72.00 72.000 72.000 72.0 72.0 72.000 72.00 72.0
## CV residual -1.58  0.501  1.37  1.49  0.624 -0.411  2.2  0.7  0.667  1.68  1.1
##               2213   2215   2223   2229  2241   2272   2276   2286   2331  2339
## Predicted   72.561 72.913 72.198 70.977 74.26 71.136 71.328 70.999 72.141 70.83
## cvpred      72.528 72.878 72.234 71.023 74.21 71.168 71.372 71.035 72.139 70.85
## overall     72.000 72.000 72.000 72.000 72.00 72.000 72.000 72.000 72.000 72.00
## CV residual -0.528 -0.878 -0.234  0.977 -2.21  0.832  0.628  0.965 -0.139  1.15
##               2350   2363  2370  2373  2378  2382   2410    2419   2454   2462
## Predicted   71.108 72.493 69.98 70.78 70.98 73.70 71.766 72.0534 70.465 71.228
## cvpred      71.067 72.513 70.03 70.79 70.94 73.67 71.781 72.0302 70.515 71.231
## overall     72.000 72.000 72.00 72.00 72.00 72.00 72.000 72.0000 71.000 71.000
## CV residual  0.933 -0.513  1.97  1.21  1.06 -1.67  0.219 -0.0302  0.485 -0.231
##               2463   2503  2553  2554    2557  2567  2578   2579   2584   2590
## Predicted   70.392 71.965 72.50 72.15 71.0263 69.93 69.95 71.795 71.113 71.167
## cvpred      70.431 71.939 72.46 72.13 71.0409 69.96 69.96 71.818 71.132 71.201
## overall     71.000 71.000 71.00 71.00 71.0000 71.00 71.00 71.000 71.000 71.000
## CV residual  0.569 -0.939 -1.46 -1.13 -0.0409  1.04  1.04 -0.818 -0.132 -0.201
##               2597   2619    2635  2676   2684  2715  2728  2731    2741   2748
## Predicted   70.312 70.440 70.9983 72.45 70.162 69.27 72.42 74.86 70.9130 71.387
## cvpred      70.287 70.471 71.0196 72.43 70.154 69.31 72.39 74.83 70.9238 71.348
## overall     71.000 71.000 71.0000 71.00 71.000 71.00 71.00 71.00 71.0000 71.000
## CV residual  0.713  0.529 -0.0196 -1.43  0.846  1.69 -1.39 -3.83  0.0762 -0.348
##              2749   2763  2782   2784    2816   2849   2852   2855   2886
## Predicted   72.24 70.519 72.25 71.301 71.0752 70.346 71.232 70.382 69.200
## cvpred      72.19 70.515 72.21 71.317 71.0377 70.318 71.222 70.394 69.196
## overall     71.00 71.000 71.00 71.000 71.0000 71.000 71.000 71.000 70.000
## CV residual -1.19  0.485 -1.21 -0.317 -0.0377  0.682 -0.222  0.606  0.804
##               2898 2899  2928  2951  2961  2964  2976  2981   3006   3017
## Predicted   70.185 54.8 71.48 72.17 69.77 71.01 67.76 68.39 70.302 70.255
## cvpred      70.195 54.7 71.49 72.17 69.78 71.03 67.74 68.35 70.273 70.198
## overall     70.000 70.0 70.00 70.00 70.00 70.00 70.00 70.00 70.000 70.000
## CV residual -0.195 15.3 -1.49 -2.17  0.22 -1.03  2.26  1.65 -0.273 -0.198
##               3018   3023   3039  3061   3065  3101   3120   3136  3145  3155
## Predicted   70.137 70.608 70.189 68.64 69.366 68.58 69.819 70.273 71.47 69.63
## cvpred      70.145 70.616 70.201 68.66 69.401 68.62 69.846 70.287 71.48 69.69
## overall     70.000 70.000 70.000 70.00 70.000 70.00 70.000 70.000 70.00 70.00
## CV residual -0.145 -0.616 -0.201  1.34  0.599  1.38  0.154 -0.287 -1.48  0.31
##              3158  3163  3224  3225   3228   3247  3261  3286  3289    3302
## Predicted   71.46 71.49 72.27 71.84 69.140 69.024 68.25 69.80 67.54 69.9394
## cvpred      71.49 71.51 72.26 71.82 69.136 69.043 68.27 69.81 67.55 69.9707
## overall     70.00 70.00 70.00 70.00 70.000 70.000 70.00 70.00 70.00 70.0000
## CV residual -1.49 -1.51 -2.26 -1.82  0.864  0.957  1.73  0.19  2.45  0.0293
##               3315    3345    3357    3405  3430   3454 3482   3483  3486  3493
## Predicted   70.192 69.9873 70.0117 68.9377 70.86 68.143   70 69.751 71.19 66.75
## cvpred      70.192 69.9808 70.0266 68.9852 70.88 68.098   70 69.768 71.15 66.75
## overall     70.000 70.0000 70.0000 69.0000 69.00 69.000   69 69.000 69.00 69.00
## CV residual -0.192  0.0192 -0.0266  0.0148 -1.88  0.902   -1 -0.768 -2.15  2.25
##              3500   3508   3550   3555  3577  3586  3590   3603  3605  3629
## Predicted   67.37 68.765 68.496 68.630 70.96 70.25 71.45 68.603 67.74 69.76
## cvpred      67.37 68.762 68.523 68.668 70.98 70.21 71.43 68.595 67.75 69.77
## overall     69.00 69.000 69.000 69.000 69.00 69.00 69.00 69.000 69.00 69.00
## CV residual  1.63  0.238  0.477  0.332 -1.98 -1.21 -2.43  0.405  1.25 -0.77
##              3647   3654   3690  3691   3697    3699  3709  3746  3756   3794
## Predicted   67.70 69.354 69.218 67.56 69.454 69.0286 71.22 66.60 67.94 68.852
## cvpred      67.63 69.365 69.206 67.55 69.509 69.0237 71.19 66.57 67.96 68.803
## overall     69.00 69.000 69.000 69.00 69.000 69.0000 69.00 69.00 69.00 69.000
## CV residual  1.37 -0.365 -0.206  1.45 -0.509 -0.0237 -2.19  2.43  1.04  0.197
##              3798  3835   3853   3860  3871  3889  3949    3958   3987  4008
## Predicted   68.03 70.46 68.310 67.099 66.77 60.55 66.92 68.0499 67.725 68.20
## cvpred      67.98 70.43 68.323 67.129 66.77 60.48 66.93 68.0315 67.712 68.16
## overall     69.00 69.00 68.000 68.000 68.00 68.00 68.00 68.0000 68.000 68.00
## CV residual  1.02 -1.43 -0.323  0.871  1.23  7.52  1.07 -0.0315  0.288 -0.16
##               4031  4040  4056   4057  4064  4082    4087   4094   4100   4102
## Predicted   68.650 66.95 66.17 67.748 65.86 69.57 68.0181 68.591 67.531 67.077
## cvpred      68.669 66.94 66.22 67.751 65.89 69.52 67.9736 68.595 67.528 67.068
## overall     68.000 68.00 68.00 68.000 68.00 68.00 68.0000 68.000 68.000 68.000
## CV residual -0.669  1.06  1.78  0.249  2.11 -1.52  0.0264 -0.595  0.472  0.932
##               4103   4107  4112  4133  4141   4161  4166   4172    4178   4231
## Predicted   68.388 67.839 69.18 70.07 69.00 68.313 69.27 67.738 68.0323 67.246
## cvpred      68.379 67.857 69.18 70.03 69.02 68.269 69.22 67.765 67.9741 67.272
## overall     68.000 68.000 68.00 68.00 68.00 68.000 68.00 68.000 68.0000 68.000
## CV residual -0.379  0.143 -1.18 -2.03 -1.02 -0.269 -1.22  0.235  0.0259  0.728
##              4248   4251   4261  4263  4275  4283   4285  4287 4292  4295
## Predicted   69.10 67.276 67.132 69.36 69.08 66.63 67.408 66.94   69 70.35
## cvpred      69.09 67.289 67.137 69.35 69.02 66.59 67.408 66.96   69 70.29
## overall     68.00 68.000 68.000 68.00 68.00 68.00 68.000 68.00   68 68.00
## CV residual -1.09  0.711  0.863 -1.35 -1.02  1.41  0.592  1.04   -1 -2.29
##               4302  4310   4338 4340 4368   4381  4397  4404   4412    4414
## Predicted   68.323 69.70 68.629 66.7   68 66.308 60.96 65.60 66.420 67.0517
## cvpred      68.341 69.72 68.619 66.7   68 66.275 60.89 65.57 66.425 67.0784
## overall     68.000 68.00 68.000 68.0   67 67.000 67.00 67.00 67.000 67.0000
## CV residual -0.341 -1.72 -0.619  1.3   -1  0.725  6.11  1.43  0.575 -0.0784
##                4423   4441  4448 4460   4480   4494    4507   4525   4527
## Predicted   67.0765 67.091 69.43 68.4 67.961 66.637 66.9687 67.979 67.669
## cvpred      67.0761 67.103 69.43 68.4 67.961 66.618 66.9623 67.949 67.683
## overall     67.0000 67.000 67.00 67.0 67.000 67.000 67.0000 67.000 67.000
## CV residual -0.0761 -0.103 -2.43 -1.4 -0.961  0.382  0.0377 -0.949 -0.683
##               4528   4530  4539 4541   4545  4548  4555 4556    4562   4571
## Predicted   67.187 67.829 68.37 65.1 66.274 63.96 69.19 66.7 66.9459 66.250
## cvpred      67.197 67.841 68.37 65.1 66.287 63.95 69.16 66.7 66.9609 66.272
## overall     67.000 67.000 67.00 67.0 67.000 67.00 67.00 67.0 67.0000 67.000
## CV residual -0.197 -0.841 -1.37  1.9  0.713  3.05 -2.16  0.3  0.0391  0.728
##              4580   4583    4610   4622   4630   4648  4661  4671  4688   4693
## Predicted   65.96 67.245 66.9689 66.374 67.225 66.607 68.06 68.84 66.13 67.945
## cvpred      65.98 67.242 66.9621 66.338 67.222 66.612 68.04 68.85 66.12 67.892
## overall     67.00 67.000 67.0000 67.000 67.000 67.000 67.00 67.00 67.00 67.000
## CV residual  1.02 -0.242  0.0379  0.662 -0.222  0.388 -1.04 -1.85  0.88 -0.892
##              4714   4727   4737  4773  4776   4777   4778  4779  4792   4819
## Predicted   68.24 67.665 67.231 68.26 69.26 67.292 67.350 69.75 68.54 67.635
## cvpred      68.22 67.677 67.207 68.27 69.25 67.279 67.354 69.72 68.53 67.674
## overall     67.00 67.000 67.000 67.00 67.00 67.000 67.000 67.00 67.00 67.000
## CV residual -1.22 -0.677 -0.207 -1.27 -2.25 -0.279 -0.354 -2.72 -1.53 -0.674
##              4823   4829   4856  4895  4904   4906  4907  4918 4926   4934
## Predicted   65.57 66.232 65.074 67.18 68.02 65.333 67.44 62.65 67.4 65.242
## cvpred      65.59 66.244 65.096 67.13 68.03 65.363 67.45 62.61 67.3 65.249
## overall     67.00 66.000 66.000 66.00 66.00 66.000 66.00 66.00 66.0 66.000
## CV residual  1.41 -0.244  0.904 -1.13 -2.03  0.637 -1.45  3.39 -1.3  0.751
##               4990   5001 5006  5012   5016  5022   5041   5050  5052 5073
## Predicted   66.204 65.821 64.3 67.69 65.179 66.79 65.226 66.511 67.17 67.2
## cvpred      66.203 65.846 64.2 67.67 65.164 66.78 65.241 66.535 67.18 67.2
## overall     66.000 66.000 66.0 66.00 66.000 66.00 66.000 66.000 66.00 66.0
## CV residual -0.203  0.154  1.8 -1.67  0.836 -0.78  0.759 -0.535 -1.18 -1.2
##               5097  5103  5112  5127   5141   5148   5152   5194  5207   5208
## Predicted   65.435 64.00 67.59 63.95 65.902 66.608 65.111 65.369 67.75 65.398
## cvpred      65.423 63.96 67.55 63.91 65.894 66.639 65.071 65.353 67.73 65.386
## overall     66.000 66.00 66.00 66.00 66.000 66.000 66.000 66.000 66.00 66.000
## CV residual  0.577  2.04 -1.55  2.09  0.106 -0.639  0.929  0.647 -1.73  0.614
##                5237   5270   5278   5299  5304   5321  5322   5351   5383  5390
## Predicted   65.9376 65.907 66.909 66.764 64.21 65.855 63.91 64.270 65.437 66.07
## cvpred      65.9368 65.883 66.904 66.809 64.13 65.884 63.91 64.254 65.446 66.08
## overall     66.0000 66.000 66.000 66.000 66.00 65.000 65.00 65.000 65.000 65.00
## CV residual  0.0632  0.117 -0.904 -0.809  1.87 -0.884  1.09  0.746 -0.446 -1.08
##              5401  5402   5403   5413  5420   5428  5429   5447   5459   5471
## Predicted   66.87 66.08 65.442 64.861 62.56 64.531 63.28 64.261 64.572 64.757
## cvpred      66.85 66.09 65.389 64.896 62.53 64.538 63.25 64.288 64.563 64.738
## overall     65.00 65.00 65.000 65.000 65.00 65.000 65.00 65.000 65.000 65.000
## CV residual -1.85 -1.09 -0.389  0.104  2.47  0.462  1.75  0.712  0.437  0.262
##             5494  5499   5516    5525  5526   5548  5559  5581   5586  5595
## Predicted   63.9 63.78 65.249 65.0637 68.17 65.334 66.15 66.73 64.018 63.67
## cvpred      63.9 63.77 65.224 65.0782 68.19 65.355 66.17 66.76 64.002 63.69
## overall     65.0 65.00 65.000 65.0000 65.00 65.000 65.00 65.00 65.000 65.00
## CV residual  1.1  1.23 -0.224 -0.0782 -3.19 -0.355 -1.17 -1.76  0.998  1.31
##              5617   5621   5623  5667  5684  5689 5712  5715   5737   5741
## Predicted   63.78 64.741 65.680 67.60 66.40 67.51 66.5 63.85 65.735 65.178
## cvpred      63.78 64.696 65.683 67.61 66.39 67.49 66.5 63.83 65.722 65.178
## overall     65.00 65.000 65.000 65.00 65.00 65.00 65.0 65.00 65.000 65.000
## CV residual  1.22  0.304 -0.683 -2.61 -1.39 -2.49 -1.5  1.17 -0.722 -0.178
##                5764  5770  5794  5805    5814   5831   5839  5840 5850   5852
## Predicted   65.0303 63.75 62.47 62.27 64.0135 64.244 64.366 65.33 67.2 64.881
## cvpred      65.0398 63.78 62.39 62.26 63.9869 64.207 64.336 65.33 67.2 64.881
## overall     65.0000 65.00 64.00 64.00 64.0000 64.000 64.000 64.00 64.0 64.000
## CV residual -0.0398  1.22  1.61  1.74  0.0131 -0.207 -0.336 -1.33 -3.2 -0.881
##              5868   5877   5900  5906   5933   5934   5951   5955   5965  5978
## Predicted   67.13 64.438 63.502 66.16 64.837 63.291 64.875 64.157 63.853 62.14
## cvpred      67.15 64.401 63.525 66.16 64.851 63.268 64.871 64.112 63.827 62.09
## overall     64.00 64.000 64.000 64.00 64.000 64.000 64.000 64.000 64.000 64.00
## CV residual -3.15 -0.401  0.475 -2.16 -0.851  0.732 -0.871 -0.112  0.173  1.91
##              6001  6005  6011   6019   6024 6046    6061    6071   6072   6102
## Predicted   66.20 65.31 65.04 64.196 64.239 63.8 64.0681 63.9790 64.498 63.307
## cvpred      66.18 65.25 65.06 64.205 64.249 63.8 64.0481 63.9589 64.481 63.303
## overall     64.00 64.00 64.00 64.000 64.000 64.0 64.0000 64.0000 64.000 64.000
## CV residual -2.18 -1.25 -1.06 -0.205 -0.249  0.2 -0.0481  0.0411 -0.481  0.697
##               6104   6111 6117  6126    6143    6147   6151   6152   6159
## Predicted   64.615 64.273 66.4 65.55 63.8959 63.9672 64.385 64.236 64.161
## cvpred      64.633 64.251 66.4 65.55 63.9164 63.9897 64.395 64.196 64.117
## overall     64.000 64.000 64.0 64.00 64.0000 64.0000 64.000 64.000 64.000
## CV residual -0.633 -0.251 -2.4 -1.55  0.0836  0.0103 -0.395 -0.196 -0.117
##               6163   6166   6175   6179  6186   6198  6200  6202   6240   6247
## Predicted   63.409 63.687 63.139 62.929 66.29 63.345 65.60 61.45 63.640 63.798
## cvpred      63.436 63.712 63.146 62.871 66.28 63.331 65.61 61.44 63.621 63.796
## overall     64.000 63.000 63.000 63.000 63.00 63.000 63.00 63.00 63.000 63.000
## CV residual  0.564 -0.712 -0.146  0.129 -3.28 -0.331 -2.61  1.56 -0.621 -0.796
##              6256  6267    6294  6296   6317   6320    6325  6333  6340  6352
## Predicted   64.59 64.37 62.9236 65.57 63.985 63.672 63.0958 66.94 64.52 64.76
## cvpred      64.59 64.36 62.9089 65.57 63.996 63.672 63.0124 66.93 64.51 64.76
## overall     63.00 63.00 63.0000 63.00 63.000 63.000 63.0000 63.00 63.00 63.00
## CV residual -1.59 -1.36  0.0911 -2.57 -0.996 -0.672 -0.0124 -3.93 -1.51 -1.76
##              6378   6386  6402  6412  6431  6441   6456 6466  6492  6495   6499
## Predicted   66.87 62.268 61.98 64.34 68.56 64.67 62.449 42.8 63.54 63.26 61.818
## cvpred      66.86 62.204 61.99 64.32 68.52 64.65 62.442 42.6 63.54 63.24 61.821
## overall     63.00 63.000 63.00 63.00 63.00 63.00 63.000 63.0 62.00 62.00 62.000
## CV residual -3.86  0.796  1.01 -1.32 -5.52 -1.65  0.558 20.4 -1.54 -1.24  0.179
##                 6522  6526  6529  6545    6549  6553    6559  6561   6587
## Predicted   61.99105 62.19 63.47 64.10 61.9351 64.44 61.9812 59.36 62.232
## cvpred      61.99539 62.18 63.48 64.11 61.9176 64.45 61.9559 59.33 62.227
## overall     62.00000 62.00 62.00 62.00 62.0000 62.00 62.0000 62.00 62.000
## CV residual  0.00461 -0.18 -1.48 -2.11  0.0824 -2.45  0.0441  2.67 -0.227
##               6594  6600   6634  6669  6672   6726  6730 6736  6740  6766  6771
## Predicted   62.406 65.11 61.463 63.18 65.45 61.664 60.00 63.5 62.57 62.06 63.13
## cvpred      62.412 65.11 61.475 63.16 65.43 61.673 59.98 63.5 62.55 62.07 63.12
## overall     62.000 62.00 62.000 62.00 62.00 61.000 61.00 61.0 61.00 61.00 61.00
## CV residual -0.412 -3.11  0.525 -1.16 -3.43 -0.673  1.02 -2.5 -1.55 -1.07 -2.12
##               6774  6777   6781   6783   6800  6820  6828   6852   6854  6885
## Predicted   61.493 63.16 61.441 60.320 60.764 62.65 62.35 61.614 60.321 62.53
## cvpred      61.494 63.14 61.437 60.273 60.782 62.64 62.33 61.586 60.296 62.53
## overall     61.000 61.00 61.000 61.000 61.000 61.00 61.00 61.000 60.000 60.00
## CV residual -0.494 -2.14 -0.437  0.727  0.218 -1.64 -1.33 -0.586 -0.296 -2.53
##              6887   6892   6894  6899   6905 6933   6952  6957  6966   6985
## Predicted   61.73 59.665 60.221 57.93 60.508 61.7 59.056 61.59 64.59 59.147
## cvpred      61.71 59.687 60.217 57.89 60.501 61.7 59.023 61.57 64.55 59.158
## overall     60.00 60.000 60.000 60.00 60.000 60.0 60.000 60.00 60.00 59.000
## CV residual -1.71  0.313 -0.217  2.11 -0.501 -1.7  0.977 -1.57 -4.55 -0.158
##              6986  7045  7078  7106   7123  7124   7130  7137  7139  7149
## Predicted   59.65 60.31 48.96 60.35 57.610 62.06 58.553 59.93 60.40 58.17
## cvpred      59.64 60.29 48.88 60.36 57.588 62.03 58.546 59.89 60.33 58.15
## overall     59.00 59.00 58.00 58.00 58.000 58.00 58.000 58.00 58.00 57.00
## CV residual -0.64 -1.29  9.12 -2.36  0.412 -4.03 -0.546 -1.89 -2.33 -1.15
##               7151  7155  7183  7190  7198  7203  7213  7217  7242  7245
## Predicted   56.674 59.41 58.09 58.56 57.50 57.94 55.53 55.95 54.14 54.87
## cvpred      56.683 59.39 58.04 58.55 57.48 57.94 55.49 55.91 54.12 54.86
## overall     57.000 57.00 56.00 56.00 56.00 56.00 55.00 55.00 53.00 53.00
## CV residual  0.317 -2.39 -2.04 -2.55 -1.48 -1.94 -0.49 -0.91 -1.12 -1.86
## 
## Sum of squares = 1877    Mean square = 3.54    n = 531 
## 
## fold 4 
## Observations in test set: 531 
##                 8   46    48    49    58   63    71    84   108   122   143
## Predicted   87.44 84.2 85.50 86.16 81.36 84.0 81.80 81.72 82.37 82.69 82.14
## cvpred      87.11 83.9 85.23 85.79 81.26 83.7 81.51 81.56 82.11 82.46 81.87
## overall     90.00 87.0 87.00 87.00 86.00 86.0 85.00 85.00 84.00 84.00 83.00
## CV residual  2.89  3.1  1.77  1.21  4.74  2.3  3.49  3.44  1.89  1.54  1.13
##               163   175    215   232  249   265   276   300   312    323    370
## Predicted   81.51 79.90 81.632 72.96 80.9 78.44 78.99 78.10 80.18 79.525 81.093
## cvpred      81.36 79.64 81.614 72.92 80.7 78.42 78.81 77.89 79.97 79.288 80.945
## overall     83.00 83.00 82.000 82.00 82.0 81.00 81.00 81.00 81.00 80.000 80.000
## CV residual  1.64  3.36  0.386  9.08  1.3  2.58  2.19  3.11  1.03  0.712 -0.945
##               399    415    416  417    448    451    469   477   481   495
## Predicted   78.10 79.672 79.678 79.0 78.815 78.400 78.374 77.53 77.90 77.88
## cvpred      77.97 79.593 79.504 78.8 78.611 78.303 78.248 77.47 77.65 77.64
## overall     80.00 80.000 80.000 80.0 79.000 79.000 79.000 79.00 79.00 79.00
## CV residual  2.03  0.407  0.496  1.2  0.389  0.697  0.752  1.53  1.35  1.36
##                533    537   545   554    556    568   580   586   594   596
## Predicted   79.412 78.573 76.87 76.43 77.243 77.240 76.56 77.04 76.85 75.72
## cvpred      79.353 78.557 76.73 76.24 77.036 77.134 76.35 76.87 76.71 75.57
## overall     79.000 79.000 79.00 78.00 78.000 78.000 78.00 78.00 78.00 78.00
## CV residual -0.353  0.443  2.27  1.76  0.964  0.866  1.65  1.13  1.29  2.43
##               607    609   611    631   653     713   721     727   733    779
## Predicted   75.31 78.498 76.44 78.715 78.44 77.0576 76.72 76.8794 75.56 76.462
## cvpred      75.24 78.352 76.32 78.509 78.29 76.9802 76.55 76.9219 75.63 76.286
## overall     78.00 78.000 78.00 78.000 78.00 77.0000 77.00 77.0000 77.00 77.000
## CV residual  2.76 -0.352  1.68 -0.509 -0.29  0.0198  0.45  0.0781  1.37  0.714
##               790   800   803   807   819    821   855   864   895   900
## Predicted   75.87 75.78 74.38 74.97 75.92 76.255 75.93 74.31 74.76 73.62
## cvpred      75.73 75.65 74.25 74.74 75.79 76.065 75.95 74.22 74.63 73.62
## overall     77.00 77.00 77.00 77.00 77.00 77.000 77.00 76.00 76.00 76.00
## CV residual  1.27  1.35  2.75  2.26  1.21  0.935  1.05  1.78  1.37  2.38
##                 904    912   919    927   936   949   991   998 1046   1052
## Predicted   76.1968 75.476 74.80 75.423 74.88 74.50 74.33 74.55 74.3 75.404
## cvpred      76.0792 75.305 74.74 75.284 74.76 74.39 74.15 74.45 74.3 75.254
## overall     76.0000 76.000 76.00 76.000 76.00 76.00 76.00 76.00 76.0 76.000
## CV residual -0.0792  0.695  1.26  0.716  1.24  1.61  1.85  1.55  1.7  0.746
##               1054  1060 1089   1100   1111    1117   1139  1153 1169   1188
## Predicted   76.349 74.32 73.9 74.521 74.837 75.0396 74.259 73.55 59.8 74.540
## cvpred      76.258 74.25 73.8 74.509 74.683 74.9394 74.091 73.45 59.9 74.409
## overall     76.000 76.00 75.0 75.000 75.000 75.0000 75.000 75.00 75.0 75.000
## CV residual -0.258  1.75  1.2  0.491  0.317  0.0606  0.909  1.55 15.1  0.591
##              1192  1196   1201   1207  1234   1281  1291  1300   1302  1346
## Predicted   73.79 73.76 75.671 75.232 71.68 75.429 73.52 73.89 74.884 73.28
## cvpred      73.65 73.74 75.483 75.158 71.51 75.243 73.29 73.82 74.752 73.17
## overall     75.00 75.00 75.000 75.000 75.00 75.000 75.00 75.00 75.000 75.00
## CV residual  1.35  1.26 -0.483 -0.158  3.49 -0.243  1.71  1.18  0.248  1.83
##              1370   1378   1382  1424    1430  1447  1463  1483  1490  1542
## Predicted   72.00 74.762 73.033 75.43 73.9983 75.14 72.24 75.12 72.12 72.60
## cvpred      71.89 74.677 73.007 75.41 73.9311 75.16 72.19 75.22 71.95 72.59
## overall     74.00 74.000 74.000 74.00 74.0000 74.00 74.00 74.00 74.00 74.00
## CV residual  2.11 -0.677  0.993 -1.41  0.0689 -1.16  1.81 -1.22  2.05  1.41
##              1560   1607  1613   1622   1634  1673   1698   1703   1724  1734
## Predicted   72.17 74.218 72.77 73.878 74.240 70.43 72.756 72.415 72.166 71.17
## cvpred      72.08 74.135 72.71 73.764 74.169 70.44 72.739 72.227 72.144 71.23
## overall     74.00 74.000 74.00 74.000 74.000 73.00 73.000 73.000 73.000 73.00
## CV residual  1.92 -0.135  1.29  0.236 -0.169  2.56  0.261  0.773  0.856  1.77
##              1739    1744   1753  1755  1765   1768  1813  1852    1861  1867
## Predicted   74.12 73.1959 72.749 71.03 74.14 73.210 71.50 71.79 73.0195 73.20
## cvpred      74.11 73.0744 72.645 70.96 74.18 73.201 71.48 71.58 72.9091 73.14
## overall     73.00 73.0000 73.000 73.00 73.00 73.000 73.00 73.00 73.0000 73.00
## CV residual -1.11 -0.0744  0.355  2.04 -1.18 -0.201  1.52  1.42  0.0909 -0.14
##              1868  1879   1886   1897  1900   1914   1925  1951  1960   1964
## Predicted   74.28 70.24 73.001 72.643 71.06 72.391 72.235 74.42 72.02 72.149
## cvpred      74.16 70.23 72.892 72.605 70.95 72.243 72.176 74.32 71.91 72.111
## overall     73.00 73.00 73.000 73.000 73.00 73.000 73.000 73.00 73.00 73.000
## CV residual -1.16  2.77  0.108  0.395  2.05  0.757  0.824 -1.32  1.09  0.889
##               1984  1992   1994   2004  2023   2030   2034   2049   2063   2078
## Predicted   73.187 72.79 72.181 72.508 74.36 72.566 72.568 71.724 72.450 71.368
## cvpred      73.137 72.75 72.102 72.435 74.35 72.509 72.546 71.678 72.408 71.376
## overall     73.000 73.00 73.000 73.000 73.00 72.000 72.000 72.000 72.000 72.000
## CV residual -0.137  0.25  0.898  0.565 -1.35 -0.509 -0.546  0.322 -0.408  0.624
##              2099  2126  2137   2162  2167   2173  2184  2224  2235  2242
## Predicted   73.40 70.94 70.74 71.165 69.36 72.617 71.02 73.79 70.01 74.19
## cvpred      73.39 70.95 70.77 71.042 69.22 72.538 71.05 73.79 69.86 74.15
## overall     72.00 72.00 72.00 72.000 72.00 72.000 72.00 72.00 72.00 72.00
## CV residual -1.39  1.05  1.23  0.958  2.78 -0.538  0.95 -1.79  2.14 -2.15
##               2284  2293  2301   2320  2322  2338  2358  2359  2405  2421  2436
## Predicted   73.053 75.10 70.78 71.725 73.09 69.63 71.46 73.25 69.45 70.79 72.02
## cvpred      72.976 75.07 70.76 71.616 73.08 69.54 71.35 73.21 69.41 70.73 71.99
## overall     72.000 72.00 72.00 72.000 72.00 72.00 72.00 72.00 72.00 72.00 72.00
## CV residual -0.976 -3.07  1.24  0.384 -1.08  2.46  0.65 -1.21  2.59  1.27  0.01
##              2470  2479   2505   2506  2547  2550   2560   2577    2589   2596
## Predicted   69.00 72.50 71.807 70.900 69.99 69.27 70.706 71.223 71.1715 70.378
## cvpred      69.03 72.39 71.924 70.889 69.99 69.33 70.675 71.101 71.0658 70.392
## overall     71.00 71.00 71.000 71.000 71.00 71.00 71.000 71.000 71.0000 71.000
## CV residual  1.97 -1.39 -0.924  0.111  1.01  1.67  0.325 -0.101 -0.0658  0.608
##              2613   2616   2629   2644  2669  2675  2689   2717  2733   2751
## Predicted   69.00 70.396 70.755 71.277 72.52 77.40 72.23 70.731 74.40 70.744
## cvpred      68.86 70.302 70.726 71.364 72.33 77.33 72.07 70.607 74.35 70.682
## overall     71.00 71.000 71.000 71.000 71.00 71.00 71.00 71.000 71.00 71.000
## CV residual  2.14  0.698  0.274 -0.364 -1.33 -6.33 -1.07  0.393 -3.35  0.318
##             2758   2759  2770   2792  2822   2830  2850   2851  2853   2854
## Predicted   68.3 71.307 66.44 71.572 71.20 71.303 68.95 71.800 69.27 70.309
## cvpred      68.3 71.288 66.58 71.533 71.12 71.304 68.89 71.679 69.24 70.191
## overall     71.0 71.000 71.00 71.000 71.00 71.000 71.00 71.000 71.00 71.000
## CV residual  2.7 -0.288  4.42 -0.533 -0.12 -0.304  2.11 -0.679  1.76  0.809
##               2865  2866 2922   2942   2958   2974  3011   3022   3024   3053
## Predicted   71.455 69.42 66.5 70.380 69.379 69.175 72.80 70.385 70.055 69.822
## cvpred      71.393 69.33 66.6 70.344 69.473 69.125 72.86 70.337 70.105 69.731
## overall     71.000 71.00 70.0 70.000 70.000 70.000 70.00 70.000 70.000 70.000
## CV residual -0.393  1.67  3.4 -0.344  0.527  0.875 -2.86 -0.337 -0.105  0.269
##               3064    3069   3079   3108  3110   3111   3112  3121   3138  3148
## Predicted   70.467 69.9778 69.438 69.600 68.98 69.604 69.845 68.57 70.806 68.85
## cvpred      70.459 70.0147 69.442 69.576 69.08 69.577 69.786 68.44 70.782 68.84
## overall     70.000 70.0000 70.000 70.000 70.00 70.000 70.000 70.00 70.000 70.00
## CV residual -0.459 -0.0147  0.558  0.424  0.92  0.423  0.214  1.56 -0.782  1.16
##              3156  3164  3169   3173  3184  3220  3239   3241   3249  3265
## Predicted   71.75 71.41 68.74 70.584 67.59 72.07 71.91 71.112 70.597 68.99
## cvpred      71.68 71.38 68.78 70.462 67.63 71.99 71.98 70.991 70.597 68.92
## overall     70.00 70.00 70.00 70.000 70.00 70.00 70.00 70.000 70.000 70.00
## CV residual -1.68 -1.38  1.22 -0.462  2.37 -1.99 -1.98 -0.991 -0.597  1.08
##               3268   3273  3279   3290  3301  3309   3318   3334   3336  3344
## Predicted   70.561 70.182 68.45 70.321 68.74 72.34 70.646 69.264 69.615 68.46
## cvpred      70.442 70.212 68.28 70.259 68.83 72.38 70.598 69.187 69.545 68.39
## overall     70.000 70.000 70.00 70.000 70.00 70.00 70.000 70.000 70.000 70.00
## CV residual -0.442 -0.212  1.72 -0.259  1.17 -2.38 -0.598  0.813  0.455  1.61
##               3352   3388 3390  3401   3428  3465  3473  3491   3492   3498
## Predicted   70.395 68.776 69.6 70.82 68.534 66.67 70.06 70.88 69.166 69.728
## cvpred      70.447 68.822 69.5 70.85 68.476 66.69 70.01 70.93 69.092 69.739
## overall     70.000 69.000 69.0 69.00 69.000 69.00 69.00 69.00 69.000 69.000
## CV residual -0.447  0.178 -0.5 -1.85  0.524  2.31 -1.01 -1.93 -0.092 -0.739
##               3501  3516  3524  3530  3575  3599  3614   3615  3616   3637
## Predicted   68.403 70.77 66.73 68.54 71.49 72.29 67.01 68.597 66.87 68.761
## cvpred      68.282 70.86 66.78 68.51 71.49 72.33 66.99 68.574 66.92 68.806
## overall     69.000 69.00 69.00 69.00 69.00 69.00 69.00 69.000 69.00 69.000
## CV residual  0.718 -1.86  2.22  0.49 -2.49 -3.33  2.01  0.426  2.08  0.194
##              3649  3661   3675  3685  3689  3695   3698  3725   3729  3744
## Predicted   71.83 67.94 68.812 65.43 67.59 70.71 68.753 69.47 69.925 67.32
## cvpred      71.71 67.88 68.726 65.49 67.53 70.64 68.748 69.43 69.938 67.27
## overall     69.00 69.00 69.000 69.00 69.00 69.00 69.000 69.00 69.000 69.00
## CV residual -2.71  1.12  0.274  3.51  1.47 -1.64  0.252 -0.43 -0.938  1.73
##              3812   3820  3831   3844  3898   3903  3911  3939   3945 3956
## Predicted   67.13 68.660 70.63 68.905 66.69 67.075 69.45 65.67 68.939 69.1
## cvpred      67.11 68.701 70.48 68.924 66.68 67.047 69.48 65.77 68.925 69.1
## overall     69.00 69.000 69.00 68.000 68.00 68.000 68.00 68.00 68.000 68.0
## CV residual  1.89  0.299 -1.48 -0.924  1.32  0.953 -1.48  2.23 -0.925 -1.1
##                3967   3969   3977   3990   3997   4028   4033   4036   4055
## Predicted   68.0309 68.307 68.211 67.022 67.709 67.686 67.179 67.440 68.871
## cvpred      68.0603 68.283 68.225 67.017 67.695 67.745 67.121 67.382 68.789
## overall     68.0000 68.000 68.000 68.000 68.000 68.000 68.000 68.000 68.000
## CV residual -0.0603 -0.283 -0.225  0.983  0.305  0.255  0.879  0.618 -0.789
##               4059   4078   4121    4134   4163   4165   4182  4185  4189  4196
## Predicted   67.549 68.263 67.144 68.0367 68.118 68.915 68.714 69.84 66.65 70.49
## cvpred      67.569 68.227 67.157 67.9483 68.215 68.886 68.664 69.86 66.68 70.54
## overall     68.000 68.000 68.000 68.0000 68.000 68.000 68.000 68.00 68.00 68.00
## CV residual  0.431 -0.227  0.843  0.0517 -0.215 -0.886 -0.664 -1.86  1.32 -2.54
##               4200  4215   4216 4223   4250   4267   4279  4300   4324  4333
## Predicted   67.137 67.01 68.844 69.7 67.803 67.590 67.090 69.76 68.635 69.06
## cvpred      67.177 66.98 68.915 69.7 67.837 67.562 67.062 69.81 68.622 69.03
## overall     68.000 68.00 68.000 68.0 68.000 68.000 68.000 68.00 68.000 68.00
## CV residual  0.823  1.02 -0.915 -1.7  0.163  0.438  0.938 -1.81 -0.622 -1.03
##              4345   4347  4349   4373  4377   4380 4388  4398   4400   4419
## Predicted   69.63 68.365 67.00 66.423 70.85 67.404 65.3 69.10 66.587 67.681
## cvpred      69.58 68.329 66.94 66.452 70.92 67.483 65.4 69.11 66.553 67.662
## overall     68.00 68.000 68.00 67.000 67.00 67.000 67.0 67.00 67.000 67.000
## CV residual -1.58 -0.329  1.06  0.548 -3.92 -0.483  1.6 -2.11  0.447 -0.662
##               4440  4459   4465   4468     4489   4495   4503   4514   4529
## Predicted   67.379 63.95 67.964 67.459 66.95258 67.610 66.073 67.721 66.271
## cvpred      67.414 64.06 67.978 67.461 66.99801 67.648 66.108 67.761 66.293
## overall     67.000 67.00 67.000 67.000 67.00000 67.000 67.000 67.000 67.000
## CV residual -0.414  2.94 -0.978 -0.461  0.00199 -0.648  0.892 -0.761  0.707
##              4567   4568   4574   4587   4606  4612   4617  4642  4657    4663
## Predicted   68.13 67.660 67.929 66.595 67.260 63.81 66.226 66.00 68.22 67.0031
## cvpred      68.09 67.632 67.994 66.589 67.274 63.81 66.186 65.92 68.26 66.9655
## overall     67.00 67.000 67.000 67.000 67.000 67.00 67.000 67.00 67.00 67.0000
## CV residual -1.09 -0.632 -0.994  0.411 -0.274  3.19  0.814  1.08 -1.26  0.0345
##              4676   4720   4729  4756  4765   4768  4769   4784  4805  4857
## Predicted   65.93 67.472 67.200 68.45 65.52 67.258 69.60 66.036 68.49 65.52
## cvpred      65.87 67.422 67.232 68.41 65.55 67.296 69.63 66.026 68.53 65.58
## overall     67.00 67.000 67.000 67.00 67.00 67.000 67.00 67.000 67.00 66.00
## CV residual  1.13 -0.422 -0.232 -1.41  1.45 -0.296 -2.63  0.974 -1.53  0.42
##              4870   4880   4932   4949   4953   4956   4960   4973   4976  4981
## Predicted   67.56 65.728 65.662 66.226 65.368 65.762 65.500 66.679 65.446 67.10
## cvpred      67.53 65.739 65.692 66.254 65.424 65.729 65.535 66.748 65.473 67.25
## overall     66.00 66.000 66.000 66.000 66.000 66.000 66.000 66.000 66.000 66.00
## CV residual -1.53  0.261  0.308 -0.254  0.576  0.271  0.465 -0.748  0.527 -1.25
##               4984  5008   5010   5015  5020   5032   5037   5040    5049  5070
## Predicted   66.817 64.79 66.471 66.379 63.59 66.748 66.458 66.873 65.9080 68.46
## cvpred      66.785 64.87 66.505 66.354 63.62 66.641 66.427 66.877 65.9778 68.31
## overall     66.000 66.00 66.000 66.000 66.00 66.000 66.000 66.000 66.0000 66.00
## CV residual -0.785  1.13 -0.505 -0.354  2.38 -0.641 -0.427 -0.877  0.0222 -2.31
##               5090   5118    5147  5164  5181  5210  5233   5250  5264   5273
## Predicted   65.959 66.172 66.0124 70.05 67.05 64.31 68.58 66.863 67.42 65.233
## cvpred      65.924 66.111 65.9693 70.02 67.11 64.33 68.69 66.804 67.41 65.268
## overall     66.000 66.000 66.0000 66.00 66.00 66.00 66.00 66.000 66.00 66.000
## CV residual  0.076 -0.111  0.0307 -4.02 -1.11  1.67 -2.69 -0.804 -1.41  0.732
##               5280    5282  5286  5307   5318  5330  5342   5344   5346   5362
## Predicted   65.613 65.8978 67.97 64.77 65.411 63.70 66.21 64.694 65.546 65.732
## cvpred      65.661 65.9155 67.92 64.74 65.387 63.75 66.22 64.689 65.523 65.726
## overall     66.000 66.0000 66.00 66.00 65.000 65.00 65.00 65.000 65.000 65.000
## CV residual  0.339  0.0845 -1.92  1.26 -0.387  1.25 -1.22  0.311 -0.523 -0.726
##             5368  5381   5404 5408   5410   5419   5444   5469  5545  5557
## Predicted     66 66.89 64.729 66.2 65.229 64.257 64.385 65.795 66.55 66.47
## cvpred        66 66.96 64.751 66.2 65.252 64.245 64.418 65.778 66.52 66.42
## overall       65 65.00 65.000 65.0 65.000 65.000 65.000 65.000 65.00 65.00
## CV residual   -1 -1.96  0.249 -1.2 -0.252  0.755  0.582 -0.778 -1.52 -1.42
##              5564  5583  5594    5637   5644   5656  5659  5680  5699  5703
## Predicted   66.21 66.44 64.06 64.9563 65.413 64.926 66.03 67.22 66.65 64.00
## cvpred      66.32 66.45 64.08 64.9547 65.447 64.898 66.08 67.24 66.65 63.96
## overall     65.00 65.00 65.00 65.0000 65.000 65.000 65.00 65.00 65.00 65.00
## CV residual -1.32 -1.45  0.92  0.0453 -0.447  0.102 -1.08 -2.24 -1.65  1.04
##              5705 5734   5751  5803  5813  5822   5825  5853   5863   5865
## Predicted   64.29 65.9 65.896 65.85 64.75 60.14 64.101 65.50 63.497 64.213
## cvpred      64.45 65.9 65.907 65.98 64.84 60.26 64.198 65.56 63.574 64.281
## overall     65.00 65.0 65.000 64.00 64.00 64.00 64.000 64.00 64.000 64.000
## CV residual  0.55 -0.9 -0.907 -1.98 -0.84  3.74 -0.198 -1.56  0.426 -0.281
##               5866   5869   5882  5883   5892   5896   5911   5923   5956
## Predicted   63.349 64.943 63.090 65.99 64.735 64.753 64.440 64.143 64.881
## cvpred      63.451 64.947 63.112 66.05 64.741 64.781 64.499 64.164 64.828
## overall     64.000 64.000 64.000 64.00 64.000 64.000 64.000 64.000 64.000
## CV residual  0.549 -0.947  0.888 -2.05 -0.741 -0.781 -0.499 -0.164 -0.828
##               5963 5964  5967   5987  6006   6007  6033  6040  6044   6055
## Predicted   64.055 66.9 65.97 64.283 65.36 63.642 62.58 62.78 67.34 63.569
## cvpred      64.143 67.1 66.02 64.272 65.38 63.666 62.64 62.77 67.27 63.551
## overall     64.000 64.0 64.00 64.000 64.00 64.000 64.00 64.00 64.00 64.000
## CV residual -0.143 -3.1 -2.02 -0.272 -1.38  0.334  1.36  1.23 -3.27  0.449
##              6065 6078  6087 6091   6101   6108   6120   6153   6154   6156
## Predicted   63.70 66.5 66.40 62.4 63.727 64.812 64.692 63.493 64.591 64.644
## cvpred      63.69 66.5 66.41 62.5 63.808 64.792 64.783 63.464 64.688 64.536
## overall     64.00 64.0 64.00 64.0 64.000 64.000 64.000 64.000 64.000 64.000
## CV residual  0.31 -2.5 -2.41  1.5  0.192 -0.792 -0.783  0.536 -0.688 -0.536
##               6181  6188  6192  6194   6213    6218   6219  6222  6234   6239
## Predicted   64.007 61.20 64.46 64.05 63.140 62.8211 62.242 63.98 64.48 63.109
## cvpred      63.988 61.36 64.51 64.18 63.145 62.9149 62.331 64.03 64.46 63.173
## overall     63.000 63.00 63.00 63.00 63.000 63.0000 63.000 63.00 63.00 63.000
## CV residual -0.988  1.64 -1.51 -1.18 -0.145  0.0851  0.669 -1.03 -1.46 -0.173
##              6248 6262   6273   6289  6301    6311  6312  6318  6335   6341
## Predicted   60.52 63.1 63.572 62.307 62.49 63.0276 64.49 64.19 65.10 61.890
## cvpred      60.61 63.1 63.623 62.351 62.55 63.0282 64.52 64.25 65.14 62.049
## overall     63.00 63.0 63.000 63.000 63.00 63.0000 63.00 63.00 63.00 63.000
## CV residual  2.39 -0.1 -0.623  0.649  0.45 -0.0282 -1.52 -1.25 -2.14  0.951
##               6350   6356  6366  6387  6390  6415   6438   6448  6450  6452
## Predicted   62.882 63.410 65.44 64.34 64.37 64.36 63.296 63.694 55.02 60.64
## cvpred      62.886 63.421 65.38 64.32 64.35 64.44 63.313 63.748 55.16 60.88
## overall     63.000 63.000 63.00 63.00 63.00 63.00 63.000 63.000 63.00 63.00
## CV residual  0.114 -0.421 -2.38 -1.32 -1.35 -1.44 -0.313 -0.748  7.84  2.12
##               6454    6464  6465   6468   6493   6503  6504  6511   6523  6528
## Predicted   63.510 63.0967 62.26 63.073 62.614 62.104 63.43 64.15 62.210 63.34
## cvpred      63.518 63.0991 62.31 63.191 62.728 62.156 63.48 64.11 62.244 63.49
## overall     63.000 63.0000 63.00 63.000 62.000 62.000 62.00 62.00 62.000 62.00
## CV residual -0.518 -0.0991  0.69 -0.191 -0.728 -0.156 -1.48 -2.11 -0.244 -1.49
##               6539 6555  6558 6563   6581  6591 6605   6615  6616   6641   6646
## Predicted   61.584 63.5 60.63   64 62.737 62.44 66.3 62.189 65.23 62.819 62.158
## cvpred      61.563 63.5 60.71   64 62.804 62.47 66.4 62.317 65.35 62.809 62.248
## overall     62.000 62.0 62.00   62 62.000 62.00 62.0 62.000 62.00 62.000 62.000
## CV residual  0.437 -1.5  1.29   -2 -0.804 -0.47 -4.4 -0.317 -3.35 -0.809 -0.248
##               6663  6674  6679  6698   6722   6728 6748  6761  6776  6816  6818
## Predicted   62.343 63.47 63.58 61.53 61.776 59.924 62.2 62.87 62.29 62.66 64.01
## cvpred      62.385 63.47 63.63 61.54 61.813 60.115 62.2 62.96 62.36 62.73 63.93
## overall     62.000 62.00 62.00 61.00 61.000 61.000 61.0 61.00 61.00 61.00 61.00
## CV residual -0.385 -1.47 -1.63 -0.54 -0.813  0.885 -1.2 -1.96 -1.36 -1.73 -2.93
##              6824  6837  6845  6846   6848  6910  6942    6946   6951   6968
## Predicted   65.65 64.00 62.54 63.40 61.922 61.60 56.98 59.8892 60.287 60.874
## cvpred      65.63 64.04 62.59 63.44 61.975 61.64 57.05 59.9881 60.361 60.909
## overall     61.00 61.00 61.00 61.00 61.000 60.00 60.00 60.0000 60.000 60.000
## CV residual -4.63 -3.04 -1.59 -2.44 -0.975 -1.64  2.95  0.0119 -0.361 -0.909
##               6981  6995  7013  7027  7047   7068   7069   7073   7107   7121
## Predicted   59.478 61.18 61.23 60.71 60.60 58.938 59.788 58.223 58.797 58.919
## cvpred      59.587 61.14 61.36 60.75 60.63 59.048 59.978 58.335 58.916 58.981
## overall     59.000 59.00 59.00 59.00 59.00 59.000 59.000 58.000 58.000 58.000
## CV residual -0.587 -2.14 -2.36 -1.75 -1.63 -0.048 -0.978 -0.335 -0.916 -0.981
##               7127    7146  7147  7176  7193   7220  7239  7243  7246
## Predicted   58.617 56.7868 58.91 58.81 60.06 55.663 55.81 53.82 53.84
## cvpred      58.661 56.9035 58.97 58.82 60.13 55.752 55.83 54.04 54.02
## overall     58.000 57.0000 57.00 57.00 56.00 55.000 54.00 53.00 53.00
## CV residual -0.661  0.0965 -1.97 -1.82 -4.13 -0.752 -1.83 -1.04 -1.02
## 
## Sum of squares = 1508    Mean square = 2.84    n = 531 
## 
## fold 5 
## Observations in test set: 531 
##                75    76    91   125   138   150   168   179   214   225   237
## Predicted   81.20 81.90 83.89 81.68 80.52 81.35 81.24 81.76 80.65 80.65 81.38
## cvpred      81.17 81.97 83.93 81.77 80.64 81.35 81.32 81.78 80.64 80.78 81.41
## overall     85.00 85.00 85.00 84.00 83.00 83.00 83.00 83.00 82.00 82.00 82.00
## CV residual  3.83  3.03  1.07  2.23  2.36  1.65  1.68  1.22  1.36  1.22  0.59
##                280   306    314  322   340   349   359   367    402    409
## Predicted   79.932 79.00 80.327 79.5 77.21 77.96 78.73 78.56 79.122 79.411
## cvpred      80.018 79.04 80.232 79.5 77.33 77.84 78.79 78.58 79.093 79.506
## overall     81.000 81.00 81.000 80.0 80.00 80.00 80.00 80.00 80.000 80.000
## CV residual  0.982  1.96  0.768  0.5  2.67  2.16  1.21  1.42  0.907  0.494
##               428  431   473    475   479    496    507   530   540    544
## Predicted   79.01 81.9 78.31 78.802 77.29 79.265 79.908 77.81 77.60 78.431
## cvpred      78.92 81.8 78.37 78.872 77.34 79.254 79.897 77.91 77.64 78.411
## overall     80.00 79.0 79.00 79.000 79.00 79.000 79.000 79.00 79.00 79.000
## CV residual  1.08 -2.8  0.63  0.128  1.66 -0.254 -0.897  1.09  1.36  0.589
##                564   578  591    614    615   622    626    639   677    722
## Predicted   78.615 77.67 74.9 78.453 78.738 76.24 77.677 77.817 76.96 77.859
## cvpred      78.601 77.73 74.9 78.553 78.863 76.31 77.698 77.808 76.92 77.842
## overall     78.000 78.00 78.0 78.000 78.000 78.00 78.000 78.000 78.00 77.000
## CV residual -0.601  0.27  3.1 -0.553 -0.863  1.69  0.302  0.192  1.08 -0.842
##                 746   747   777    791    815     860   932    951     952
## Predicted   77.0004 75.13 75.66 77.271 76.821 77.0128 74.34 75.486 76.1045
## cvpred      77.0659 75.16 75.77 77.341 76.784 77.0987 74.42 75.443 76.0811
## overall     77.0000 77.00 77.00 77.000 77.000 77.0000 76.00 76.000 76.0000
## CV residual -0.0659  1.84  1.23 -0.341  0.216 -0.0987  1.58  0.557 -0.0811
##                987   995   1002  1007   1010 1015  1016   1017  1020   1023
## Predicted   76.203 76.26 75.220 77.24 75.561 59.8 76.21 76.625 74.52 75.782
## cvpred      76.222 76.21 75.259 77.26 75.491 59.7 76.23 76.599 74.47 75.843
## overall     76.000 76.00 76.000 76.00 76.000 76.0 76.00 76.000 76.00 76.000
## CV residual -0.222 -0.21  0.741 -1.26  0.509 16.3 -0.23 -0.599  1.53  0.157
##              1050   1065   1130   1167  1177  1193  1194  1239   1260  1265
## Predicted   74.36 76.386 74.232 74.574 70.46 72.75 76.16 75.57 74.098 73.32
## cvpred      74.41 76.357 74.269 74.644 70.37 72.81 76.23 75.62 74.179 73.39
## overall     76.00 76.000 75.000 75.000 75.00 75.00 75.00 75.00 75.000 75.00
## CV residual  1.59 -0.357  0.731  0.356  4.63  2.19 -1.23 -0.62  0.821  1.61
##             1267  1270  1273   1274   1277  1280    1284  1287  1315   1334
## Predicted   75.5 71.64 73.49 75.415 74.630 77.10 74.9812 75.93 73.92 74.931
## cvpred      75.5 71.54 73.55 75.398 74.586 77.07 75.0169 75.91 73.92 74.966
## overall     75.0 75.00 75.00 75.000 75.000 75.00 75.0000 75.00 75.00 75.000
## CV residual -0.5  3.46  1.45 -0.398  0.414 -2.07 -0.0169 -0.91  1.08  0.034
##                1338  1379   1412  1453   1456   1482  1493   1504   1505   1506
## Predicted   74.8690 75.69 74.426 75.06 74.413 73.107 75.84 73.329 73.785 73.902
## cvpred      74.9042 75.73 74.396 75.13 74.479 73.132 75.85 73.354 73.758 73.873
## overall     75.0000 74.00 74.000 74.00 74.000 74.000 74.00 74.000 74.000 74.000
## CV residual  0.0958 -1.73 -0.396 -1.13 -0.479  0.868 -1.85  0.646  0.242  0.127
##               1533  1545    1547 1553   1556  1597  1618  1635   1661  1681
## Predicted   74.684 72.47 73.9715 72.9 73.109 69.79 71.67 76.30 72.812 71.81
## cvpred      74.662 72.51 73.9356 72.9 73.194 69.69 71.64 76.26 72.837 71.83
## overall     74.000 74.00 74.0000 74.0 74.000 74.00 74.00 74.00 73.000 73.00
## CV residual -0.662  1.49  0.0644  1.1  0.806  4.31  2.36 -2.26  0.163  1.17
##              1723  1743   1758   1769   1775   1787   1801   1812 1829  1845
## Predicted   71.20 70.95 73.736 72.380 73.342 73.462 72.234 72.773 74.1 75.91
## cvpred      71.25 70.97 73.675 72.419 73.388 73.509 72.301 72.814 74.1 75.86
## overall     73.00 73.00 73.000 73.000 73.000 73.000 73.000 73.000 73.0 73.00
## CV residual  1.75  2.03 -0.675  0.581 -0.388 -0.509  0.699  0.186 -1.1 -2.86
##               1877  1884   1890   1892   1923   1934  1945   1948   1971  1988
## Predicted   72.499 71.60 72.832 73.220 72.799 72.334 71.65 73.875 73.938 71.81
## cvpred      72.557 71.63 72.871 73.256 72.737 72.384 71.58 73.908 73.891 71.78
## overall     73.000 73.00 73.000 73.000 73.000 73.000 73.00 73.000 73.000 73.00
## CV residual  0.443  1.37  0.129 -0.256  0.263  0.616  1.42 -0.908 -0.891  1.22
##              2011  2013 2019  2026   2040  2042   2054  2061  2077  2079
## Predicted   70.65 71.94 74.9 74.75 71.499 70.56 71.442 73.15 69.19 70.93
## cvpred      70.58 71.96 74.9 74.72 71.532 70.62 71.499 73.15 69.13 70.94
## overall     73.00 73.00 73.0 73.00 72.000 72.00 72.000 72.00 72.00 72.00
## CV residual  2.42  1.04 -1.9 -1.72  0.468  1.38  0.501 -1.15  2.87  1.06
##                2085  2111  2129   2172  2182   2190   2192   2194   2207   2212
## Predicted   72.0002 70.97 70.95 71.715 74.66 71.289 72.568 72.968 71.239 72.128
## cvpred      72.0508 70.99 70.98 71.707 74.63 71.297 72.502 72.955 71.283 72.153
## overall     72.0000 72.00 72.00 72.000 72.00 72.000 72.000 72.000 72.000 72.000
## CV residual -0.0508  1.01  1.02  0.293 -2.63  0.703 -0.502 -0.955  0.717 -0.153
##              2225   2249  2250   2264   2290 2296 2302   2303    2307   2330
## Predicted   70.01 71.063 73.40 72.454 72.101 73.8 71.8 71.482 72.0087 71.077
## cvpred      70.07 71.056 73.47 72.497 72.128 73.9 71.8 71.511 72.0915 71.123
## overall     72.00 72.000 72.00 72.000 72.000 72.0 72.0 72.000 72.0000 72.000
## CV residual  1.93  0.944 -1.47 -0.497 -0.128 -1.9  0.2  0.489 -0.0915  0.877
##               2333  2344    2352   2362  2386   2389   2403  2418  2440  2447
## Predicted   71.790 74.99 72.0100 72.508 71.26 71.802 72.358 70.13 73.51 72.09
## cvpred      71.842 74.97 71.9638 72.467 71.29 71.758 72.324 70.13 73.49 72.05
## overall     72.000 72.00 72.0000 72.000 72.00 72.000 72.000 72.00 72.00 71.00
## CV residual  0.158 -2.97  0.0362 -0.467  0.71  0.242 -0.324  1.87 -1.49 -1.05
##               2455   2461   2494   2521 2532  2551   2586  2592   2607   2610
## Predicted   71.924 70.640 71.273 71.287   72 72.09 70.303 69.62 70.424 71.478
## cvpred      71.961 70.685 71.314 71.324   72 72.11 70.374 69.66 70.463 71.516
## overall     71.000 71.000 71.000 71.000   71 71.00 71.000 71.00 71.000 71.000
## CV residual -0.961  0.315 -0.314 -0.324   -1 -1.11  0.626  1.34  0.537 -0.516
##               2625 2634  2647    2662   2664  2693  2702  2719   2735  2769
## Predicted   71.751 73.9 72.45 70.9980 71.231 73.83 71.13 72.27 71.855 69.88
## cvpred      71.775 73.9 72.49 70.9615 71.183 73.84 71.16 72.25 71.824 69.93
## overall     71.000 71.0 71.00 71.0000 71.000 71.00 71.00 71.00 71.000 71.00
## CV residual -0.775 -2.9 -1.49  0.0385 -0.183 -2.84 -0.16 -1.25 -0.824  1.07
##              2780  2785   2806    2815   2883  2916   2919  2921   2924   2939
## Predicted   69.51 73.58 70.835 71.0823 69.959 66.46 69.409 63.52 69.546 70.508
## cvpred      69.57 73.56 70.893 71.0716 69.874 66.42 69.347 63.42 69.542 70.433
## overall     71.00 71.00 71.000 71.0000 70.000 70.00 70.000 70.00 70.000 70.000
## CV residual  1.43 -2.56  0.107 -0.0716  0.126  3.58  0.653  6.58  0.458 -0.433
##              2946   2959   2995  3005   3013   3014    3016   3028    3036
## Predicted   68.86 69.768 69.607 67.81 69.716 69.505 70.0031 69.515 69.8689
## cvpred      68.79 69.692 69.631 67.76 69.702 69.465 69.9543 69.563 69.9464
## overall     70.00 70.000 70.000 70.00 70.000 70.000 70.0000 70.000 70.0000
## CV residual  1.21  0.308  0.369  2.24  0.298  0.535  0.0457  0.437  0.0536
##               3040   3046   3073  3080  3087 3094   3097  3106  3117  3132
## Predicted   69.684 69.203 69.680 69.31 71.35 72.5 69.624 69.02 67.11 68.86
## cvpred      69.745 69.238 69.727 69.28 71.39 72.5 69.653 68.97 67.06 68.79
## overall     70.000 70.000 70.000 70.00 70.00 70.0 70.000 70.00 70.00 70.00
## CV residual  0.255  0.762  0.273  0.72 -1.39 -2.5  0.347  1.03  2.94  1.21
##                3134   3147  3150   3181   3206   3207  3227   3232  3267   3287
## Predicted   70.0428 70.822 71.21 70.524 69.327 70.578 71.29 70.214 68.41 69.068
## cvpred      70.0619 70.889 71.22 70.489 69.288 70.534 71.25 70.263 68.44 69.119
## overall     70.0000 70.000 70.00 70.000 70.000 70.000 70.00 70.000 70.00 70.000
## CV residual -0.0619 -0.889 -1.22 -0.489  0.712 -0.534 -1.25 -0.263  1.56  0.881
##               3295  3308  3314   3330   3338  3400   3423   3467   3527  3535
## Predicted   69.789 67.80 71.04 70.239 70.316 68.86 68.580 68.222 68.501 70.38
## cvpred      69.738 67.68 71.04 70.233 70.346 68.88 68.592 68.251 68.449 70.36
## overall     70.000 70.00 70.00 70.000 70.000 69.00 69.000 69.000 69.000 69.00
## CV residual  0.262  2.32 -1.04 -0.233 -0.346  0.12  0.408  0.749  0.551 -1.36
##             3556   3579   3592  3595   3606   3612   3613   3650   3652   3653
## Predicted   67.6 69.171 69.885 70.94 68.356 68.198 68.907 69.525 69.704 69.741
## cvpred      67.7 69.194 69.941 70.91 68.378 68.141 68.939 69.567 69.784 69.734
## overall     69.0 69.000 69.000 69.00 69.000 69.000 69.000 69.000 69.000 69.000
## CV residual  1.3 -0.194 -0.941 -1.91  0.622  0.859  0.061 -0.567 -0.784 -0.734
##              3665  3684   3686  3692   3696   3711  3715   3724  3735  3741
## Predicted   68.46 67.68 69.557 67.45 68.045 68.351 70.50 69.457 70.45 71.12
## cvpred      68.48 67.71 69.585 67.46 68.064 68.397 70.59 69.501 70.39 71.08
## overall     69.00 69.00 69.000 69.00 69.000 69.000 69.00 69.000 69.00 69.00
## CV residual  0.52  1.29 -0.585  1.54  0.936  0.603 -1.59 -0.501 -1.39 -2.08
##             3749  3786   3799  3839   3851   3863  3865   3877   3896  3897
## Predicted   67.7 70.38 68.763 66.45 68.384 67.754 66.69 67.316 67.177 67.39
## cvpred      67.7 70.41 68.714 66.44 68.298 67.659 66.69 67.304 67.168 67.43
## overall     69.0 69.00 69.000 68.00 68.000 68.000 68.00 68.000 68.000 68.00
## CV residual  1.3 -1.41  0.286  1.56 -0.298  0.341  1.31  0.696  0.832  0.57
##               3901   3907  3918 3941   3953   3966    3991  3994   4000   4013
## Predicted   68.187 68.384 68.25 52.3 68.408 68.689 68.0749 66.10 68.845 67.775
## cvpred      68.202 68.343 68.31 52.2 68.439 68.658 68.0844 66.16 68.866 67.696
## overall     68.000 68.000 68.00 68.0 68.000 68.000 68.0000 68.00 68.000 68.000
## CV residual -0.202 -0.343 -0.31 15.8 -0.439 -0.658 -0.0844  1.84 -0.866  0.304
##              4017   4020   4027   4051   4063  4091  4104  4115   4116  4118
## Predicted   69.24 68.924 67.531 67.238 68.674 69.51 66.15 69.54 68.115 69.32
## cvpred      69.13 68.865 67.492 67.342 68.695 69.48 66.19 69.56 68.131 69.33
## overall     68.00 68.000 68.000 68.000 68.000 68.00 68.00 68.00 68.000 68.00
## CV residual -1.13 -0.865  0.508  0.658 -0.695 -1.48  1.81 -1.56 -0.131 -1.33
##               4124   4147   4177   4197  4198 4208  4209 4210  4213  4219
## Predicted   68.498 68.786 67.039 67.199 69.98 66.9 70.83 61.6 69.43 68.34
## cvpred      68.549 68.835 67.094 67.254 70.05 66.8 70.79 61.5 69.43 68.36
## overall     68.000 68.000 68.000 68.000 68.00 68.0 68.00 68.0 68.00 68.00
## CV residual -0.549 -0.835  0.906  0.746 -2.05  1.2 -2.79  6.5 -1.43 -0.36
##               4221  4225   4230   4257   4271   4309   4311  4350  4356  4411
## Predicted   68.958 69.53 67.705 67.634 67.814 68.311 68.389 63.65 65.18 65.18
## cvpred      68.988 69.57 67.718 67.683 67.875 68.237 68.405 63.52 65.17 65.14
## overall     68.000 68.00 68.000 68.000 68.000 68.000 68.000 68.00 67.00 67.00
## CV residual -0.988 -1.57  0.282  0.317  0.125 -0.237 -0.405  4.48  1.83  1.86
##              4424  4427   4437    4452    4456   4457    4475  4476   4499
## Predicted   67.84 68.16 67.716 67.1133 66.9070 66.610 66.9086 68.47 67.709
## cvpred      67.84 68.19 67.652 67.0295 66.9179 66.617 66.9272 68.51 67.723
## overall     67.00 67.00 67.000 67.0000 67.0000 67.000 67.0000 67.00 67.000
## CV residual -0.84 -1.19 -0.652 -0.0295  0.0821  0.383  0.0728 -1.51 -0.723
##              4508  4519   4572    4598  4602  4613  4638    4655  4682  4686
## Predicted   66.44 65.34 66.698 67.0406 68.09 65.36 64.63 67.0195 68.68 68.47
## cvpred      66.42 65.33 66.714 67.0387 68.13 65.39 64.63 67.0243 68.79 68.49
## overall     67.00 67.00 67.000 67.0000 67.00 67.00 67.00 67.0000 67.00 67.00
## CV residual  0.58  1.67  0.286 -0.0387 -1.13  1.61  2.37 -0.0243 -1.79 -1.49
##               4728    4740  4743   4767  4781  4782   4813  4855   4874  4901
## Predicted   67.488 66.9186 68.25 67.488 64.82 68.31 67.432 68.68 65.202 67.68
## cvpred      67.446 66.9893 68.19 67.494 64.79 68.27 67.465 68.64 65.198 67.68
## overall     67.000 67.0000 67.00 67.000 67.00 67.00 67.000 66.00 66.000 66.00
## CV residual -0.446  0.0107 -1.19 -0.494  2.21 -1.27 -0.465 -2.64  0.802 -1.68
##               4919   4937  4945    4961  4974  4977  4978   4979  5002   5007
## Predicted   66.776 66.404 67.61 65.8934 67.14 64.90 64.45 65.901 67.22 66.035
## cvpred      66.754 66.316 67.64 65.9176 67.14 64.92 64.39 65.846 67.24 66.079
## overall     66.000 66.000 66.00 66.0000 66.00 66.00 66.00 66.000 66.00 66.000
## CV residual -0.754 -0.316 -1.64  0.0824 -1.14  1.08  1.61  0.154 -1.24 -0.079
##              5011  5038  5047    5062   5064  5085   5089 5128  5137   5162
## Predicted   66.65 67.42 67.14 65.9451 65.767 64.92 66.809 68.6 67.46 66.372
## cvpred      66.65 67.31 67.19 65.9613 65.785 64.92 66.776 68.5 67.48 66.335
## overall     66.00 66.00 66.00 66.0000 66.000 66.00 66.000 66.0 66.00 66.000
## CV residual -0.65 -1.31 -1.19  0.0387  0.215  1.08 -0.776 -2.5 -1.48 -0.335
##              5168  5174  5176   5201  5248  5252   5256  5263   5311  5329
## Predicted   66.98 68.42 70.45 65.560 67.41 70.06 67.047 68.69 66.436 62.79
## cvpred      67.01 68.38 70.36 65.538 67.38 70.11 66.991 68.64 66.436 62.77
## overall     66.00 66.00 66.00 66.000 66.00 66.00 66.000 66.00 66.000 65.00
## CV residual -1.01 -2.38 -4.36  0.462 -1.38 -4.11 -0.991 -2.64 -0.436  2.23
##               5338    5360    5366  5386   5388    5435   5438  5448   5462
## Predicted   64.210 65.0119 64.9527 66.95 65.560 65.0446 64.235 63.66 64.003
## cvpred      64.208 65.0186 64.9565 66.94 65.587 65.0405 64.253 63.68 64.005
## overall     65.000 65.0000 65.0000 65.00 65.000 65.0000 65.000 65.00 65.000
## CV residual  0.792 -0.0186  0.0435 -1.94 -0.587 -0.0405  0.747  1.32  0.995
##               5466  5496  5497   5500   5508  5521  5522  5524  5529   5538
## Predicted   64.876 65.50 66.35 64.442 64.750 66.17 63.93 67.68 67.92 65.166
## cvpred      64.872 65.53 66.37 64.425 64.739 66.21 63.85 67.63 67.95 65.194
## overall     65.000 65.00 65.00 65.000 65.000 65.00 65.00 65.00 65.00 65.000
## CV residual  0.128 -0.53 -1.37  0.575  0.261 -1.21  1.15 -2.63 -2.95 -0.194
##              5555  5561   5562  5574   5592  5603   5622  5646  5653   5660
## Predicted   67.08 63.53 64.302 63.86 65.463 63.84 64.354 63.53 66.72 65.393
## cvpred      67.15 63.55 64.311 63.91 65.467 63.93 64.367 63.56 66.73 65.309
## overall     65.00 65.00 65.000 65.00 65.000 65.00 65.000 65.00 65.00 65.000
## CV residual -2.15  1.45  0.689  1.09 -0.467  1.07  0.633  1.44 -1.73 -0.309
##              5666  5673   5675  5685  5716   5742  5746   5754   5775   5811
## Predicted   66.27 63.06 64.742 68.35 63.75 65.690 63.53 65.369 65.078 63.316
## cvpred      66.31 63.08 64.759 68.35 63.74 65.728 63.45 65.406 65.104 63.304
## overall     65.00 65.00 65.000 65.00 65.00 65.000 65.00 65.000 65.000 64.000
## CV residual -1.31  1.92  0.241 -3.35  1.26 -0.728  1.55 -0.406 -0.104  0.696
##              5816  5818   5827   5828   5829   5838   5847   5848  5862   5867
## Predicted   65.13 65.78 64.225 64.465 63.838 64.435 64.750 64.955 67.85 63.912
## cvpred      65.06 65.78 64.225 64.462 63.843 64.413 64.748 64.945 67.82 63.893
## overall     64.00 64.00 64.000 64.000 64.000 64.000 64.000 64.000 64.00 64.000
## CV residual -1.06 -1.78 -0.225 -0.462  0.157 -0.413 -0.748 -0.945 -3.82  0.107
##                5870  5874   5895   5904   5907   5909   5918  5921    5940
## Predicted   64.0228 66.53 64.998 64.864 63.682 63.233 64.841 62.38 64.1363
## cvpred      64.0105 66.55 64.989 64.865 63.732 63.242 64.841 62.41 64.0501
## overall     64.0000 64.00 64.000 64.000 64.000 64.000 64.000 64.00 64.0000
## CV residual -0.0105 -2.55 -0.989 -0.865  0.268  0.758 -0.841  1.59 -0.0501
##               5945    5966  5976   5980   6025  6026   6028  6049  6052   6073
## Predicted   64.871 63.9230 65.11 64.866 63.873 66.51 63.693 65.46 65.80 64.970
## cvpred      64.882 63.9193 65.13 64.904 63.876 66.54 63.698 65.49 65.81 64.978
## overall     64.000 64.0000 64.00 64.000 64.000 64.00 64.000 64.00 64.00 64.000
## CV residual -0.882  0.0807 -1.13 -0.904  0.124 -2.54  0.302 -1.49 -1.81 -0.978
##               6082  6085  6090   6096   6115  6119   6128  6140  6149     6173
## Predicted   63.006 64.91 67.03 64.995 63.122 63.63 64.116 66.12 65.14 62.97394
## cvpred      63.008 64.92 67.05 64.999 63.161 63.61 64.134 66.06 65.16 63.00501
## overall     64.000 64.00 64.00 64.000 64.000 64.00 64.000 64.00 64.00 63.00000
## CV residual  0.992 -0.92 -3.05 -0.999  0.839  0.39 -0.134 -2.06 -1.16 -0.00501
##             6185   6216  6225 6229   6245   6251   6261  6277  6287   6291
## Predicted   64.5 63.838 64.40 61.8 63.197 62.746 63.660 59.30 65.06 63.489
## cvpred      64.5 63.846 64.41 61.8 63.242 62.714 63.659 59.23 65.08 63.392
## overall     63.0 63.000 63.00 63.0 63.000 63.000 63.000 63.00 63.00 63.000
## CV residual -1.5 -0.846 -1.41  1.2 -0.242  0.286 -0.659  3.77 -2.08 -0.392
##              6298  6302   6313  6334  6346   6348   6370 6373   6436  6442
## Predicted   65.27 65.05 63.208 64.17 64.28 63.627 62.194 51.6 62.878 65.81
## cvpred      65.27 65.01 63.238 64.14 64.29 63.593 62.205 51.5 62.873 65.82
## overall     63.00 63.00 63.000 63.00 63.00 63.000 63.000 63.0 63.000 63.00
## CV residual -2.27 -2.01 -0.238 -1.14 -1.29 -0.593  0.795 11.5  0.127 -2.82
##              6443  6449   6507  6515   6534 6566   6573  6580  6593   6598
## Predicted   65.47 64.44 62.547 62.99 61.837 60.7 62.838 63.02 60.18 62.611
## cvpred      65.49 64.46 62.522 62.94 61.797 60.6 62.861 63.02 60.12 62.634
## overall     63.00 63.00 62.000 62.00 62.000 62.0 62.000 62.00 62.00 62.000
## CV residual -2.49 -1.46 -0.522 -0.94  0.203  1.4 -0.861 -1.02  1.88 -0.634
##                 6607  6608   6610  6612  6636   6637  6640   6643  6680    6685
## Predicted   61.98048 60.99 61.196 63.99 63.80 61.847 64.05 62.735 63.13 61.9363
## cvpred      61.99469 60.98 61.166 63.99 63.81 61.845 64.09 62.757 63.15 61.9302
## overall     62.00000 62.00 62.000 62.00 62.00 62.000 62.00 62.000 62.00 62.0000
## CV residual  0.00531  1.02  0.834 -1.99 -1.81  0.155 -2.09 -0.757 -1.15  0.0698
##               6688  6702   6721  6738  6739  6741  6756  6765 6769  6775   6784
## Predicted   61.199 63.09 61.954 53.46 62.23 62.85 62.78 62.64 63.1 62.69 61.211
## cvpred      61.205 63.01 61.941 53.32 62.25 62.81 62.76 62.62 63.1 62.69 61.183
## overall     62.000 61.00 61.000 61.00 61.00 61.00 61.00 61.00 61.0 61.00 61.000
## CV residual  0.795 -2.01 -0.941  7.68 -1.25 -1.81 -1.76 -1.62 -2.1 -1.69 -0.183
##               6797   6802  6804   6812  6831   6864   6871   6888  6890   6903
## Predicted   61.220 60.100 62.14 61.292 62.53 59.438 60.275 60.927 62.57 59.704
## cvpred      61.228 60.059 62.11 61.302 62.57 59.443 60.227 60.927 62.57 59.697
## overall     61.000 61.000 61.00 61.000 61.00 60.000 60.000 60.000 60.00 60.000
## CV residual -0.228  0.941 -1.11 -0.302 -1.57  0.557 -0.227 -0.927 -2.57  0.303
##               6926  6928  6937   6941   6960  6969  6971  6994   7000   7004
## Predicted   60.307 61.98 58.70 60.024 60.979 61.44 62.11 60.05 60.082 58.804
## cvpred      60.292 61.92 58.66 59.964 60.972 61.41 62.08 60.02 59.999 58.718
## overall     60.000 60.00 60.00 60.000 60.000 60.00 60.00 59.00 59.000 59.000
## CV residual -0.292 -1.92  1.34  0.036 -0.972 -1.41 -2.08 -1.02 -0.999  0.282
##              7011  7024  7035   7066  7074  7077  7082 7102   7103  7129   7132
## Predicted   60.85 60.29 52.66 59.462 59.57 59.53 59.78 59.2 58.941 62.51 57.534
## cvpred      60.84 60.29 52.58 59.415 59.51 59.54 59.76 59.2 58.894 62.49 57.533
## overall     59.00 59.00 59.00 59.000 58.00 58.00 58.00 58.0 58.000 58.00 58.000
## CV residual -1.84 -1.29  6.42 -0.415 -1.51 -1.54 -1.76 -1.2 -0.894 -4.49  0.467
##               7158  7168  7170  7180   7181   7184  7194   7205  7219  7231
## Predicted   56.629 58.60 58.89 58.28 56.690 55.518 58.63 55.759 57.57 59.15
## cvpred      56.541 58.54 58.85 58.25 56.636 55.459 58.58 55.716 57.51 59.12
## overall     57.000 57.00 57.00 57.00 56.000 56.000 56.00 56.000 55.00 54.00
## CV residual  0.459 -1.54 -1.85 -1.25 -0.636  0.541 -2.58  0.284 -2.51 -5.12
##              7237  7257  7258
## Predicted   55.23 52.07 52.49
## cvpred      55.16 51.96 52.43
## overall     54.00 50.00 50.00
## CV residual -1.16 -1.96 -2.43
## 
## Sum of squares = 1821    Mean square = 3.43    n = 531 
## 
## Overall (Sum over all 531 folds) 
##   ms 
## 3.23
sum((fifa_defender$overall-KCV_defender$cvpred)^2)
## [1] 8586
1-sum((fifa_defender$overall-KCV_defender$cvpred)^2)/sum((fifa_defender$overall-mean(fifa_defender$overall))^2)
## [1] 0.905
### Prediction for Goal Keeper

newfifagk1 <- data.frame(age=26,weight_kg=87,gk_diving=87,gk_handling=92,gk_kicking=78,gk_reflexes=89,gk_speed=52,gk_positioning=90)
print(paste0("Observed Overall for Goal Keeper: ",89))
## [1] "Observed Overall for Goal Keeper: 89"
predicted <- predict(model_gk, newdata=newfifagk1)
print(paste0("Predicted Overall for Goal Keeper: ",round(predicted)))
## [1] "Predicted Overall for Goal Keeper: 89"
### Prediction for Forward

newfifaforward1 <- data.frame(age=32,weight_kg=72,pace=87,shooting=92,passing=92,dribbling=96,physic=66,skill_moves=4)
print(paste0("Observed Overall for Forward: ",91))
## [1] "Observed Overall for Forward: 91"
predicted <- predict(model_forward, newdata=newfifaforward1)
print(paste0("Predicted Overall for Forward: ",round(predicted)))
## [1] "Predicted Overall for Forward: 93"
### Prediction for MF

newfifaMF1 <- data.frame(age=27,weight_kg=82,pace=59,passing=66,dribbling=75,defending=40,physic=63,skill_moves=3)
print(paste0("Observed Overall for Mid-Fielder: ",75))
## [1] "Observed Overall for Mid-Fielder: 75"
predicted <- predict(model_midfielder, newdata=newfifaMF1)
print(paste0("Predicted Overall for Mid-Fielder: ",round(predicted)))
## [1] "Predicted Overall for Mid-Fielder: 72"
### Prediction for defender

newfifadefender1 <- data.frame(age=27,weight_kg=92,pace=77,passing=70,dribbling=71,defending=90,physic=86,skill_moves=2)
print(paste0("Observed Overall for Defender: ",77))
## [1] "Observed Overall for Defender: 77"
predicted <- predict(model_midfielder, newdata=newfifadefender1)
print(paste0("Predicted Overall for Defender: ",round(predicted)))
## [1] "Predicted Overall for Defender: 77"