This report was automatically generated with the R package knitr (version 1.5).
library(faraway)
data(fat, package = "faraway")
plot(neck ~ knee, fat)
plot(chest ~ thigh, fat)
plot(hip ~ wrist, fat)
cfat <- fat[, 9:18]
prfat <- prcomp(cfat)
dim(prfat$rot)
[1] 10 10
dim(prfat$x)
[1] 252 10
summary(prfat)
Importance of components:
PC1 PC2 PC3 PC4 PC5 PC6 PC7
Standard deviation 15.990 4.0658 2.9660 2.0004 1.69408 1.49881 1.30322
Proportion of Variance 0.867 0.0561 0.0298 0.0136 0.00973 0.00762 0.00576
Cumulative Proportion 0.867 0.9230 0.9529 0.9664 0.97617 0.98378 0.98954
PC8 PC9 PC10
Standard deviation 1.25478 1.10955 0.52737
Proportion of Variance 0.00534 0.00417 0.00094
Cumulative Proportion 0.99488 0.99906 1.00000
round(prfat$rot[, 1], 2)
neck chest abdom hip thigh knee ankle biceps forearm
0.12 0.50 0.66 0.42 0.28 0.12 0.06 0.15 0.07
wrist
0.04
prfatc <- prcomp(cfat, scale = TRUE)
summary(prfatc)
Importance of components:
PC1 PC2 PC3 PC4 PC5 PC6 PC7
Standard deviation 2.650 0.8530 0.8191 0.7011 0.5471 0.5283 0.4520
Proportion of Variance 0.702 0.0728 0.0671 0.0492 0.0299 0.0279 0.0204
Cumulative Proportion 0.702 0.7749 0.8420 0.8911 0.9211 0.9490 0.9694
PC8 PC9 PC10
Standard deviation 0.4054 0.27827 0.2530
Proportion of Variance 0.0164 0.00774 0.0064
Cumulative Proportion 0.9859 0.99360 1.0000
round(prfatc$rot[, 1], 2)
neck chest abdom hip thigh knee ankle biceps forearm
0.33 0.34 0.33 0.35 0.33 0.33 0.25 0.32 0.27
wrist
0.30
round(prfatc$rot[, 2], 2)
neck chest abdom hip thigh knee ankle biceps forearm
0.00 -0.27 -0.40 -0.25 -0.19 0.02 0.62 0.02 0.36
wrist
0.38
require(MASS)
Loading required package: MASS
robfat <- cov.rob(cfat)
md <- mahalanobis(cfat, center = robfat$center, cov = robfat$cov)
n <- nrow(cfat)
p <- ncol(cfat)
plot(qchisq(1:n/(n + 1), p), sort(md), xlab = expression(paste(chi^2, " quantiles")),
ylab = "Sorted Mahalanobis distances")
abline(0, 1)
lmoda <- lm(fat$brozek ~ ., data = cfat)
sumary(lmoda)
Estimate Std. Error t value Pr(>|t|)
(Intercept) 7.22875 6.21431 1.16 0.24588
neck -0.58195 0.20858 -2.79 0.00569
chest -0.09085 0.08543 -1.06 0.28866
abdom 0.96023 0.07158 13.41 < 2e-16
hip -0.39135 0.11269 -3.47 0.00061
thigh 0.13371 0.12492 1.07 0.28554
knee -0.09406 0.21239 -0.44 0.65828
ankle 0.00422 0.20318 0.02 0.98344
biceps 0.11120 0.15912 0.70 0.48533
forearm 0.34454 0.18551 1.86 0.06450
wrist -1.35347 0.47141 -2.87 0.00445
n = 252, p = 11, Residual SE = 4.07, R-Squared = 0.74
lmodpcr <- lm(fat$brozek ~ prfatc$x[, 1:2])
sumary(lmodpcr)
Estimate Std. Error t value Pr(>|t|)
(Intercept) 18.938 0.329 57.54 <2e-16
prfatc$x[, 1:2]PC1 1.842 0.124 14.80 <2e-16
prfatc$x[, 1:2]PC2 -3.551 0.387 -9.18 <2e-16
n = 252, p = 3, Residual SE = 5.22, R-Squared = 0.55
lmodr <- lm(fat$brozek ~ scale(abdom) + I(scale(ankle) - scale(abdom)), data = cfat)
sumary(lmodr)
Estimate Std. Error t value Pr(>|t|)
(Intercept) 18.938 0.279 67.79 <2e-16
scale(abdom) 5.763 0.328 17.55 <2e-16
I(scale(ankle) - scale(abdom)) -0.995 0.314 -3.17 0.0017
n = 252, p = 3, Residual SE = 4.43, R-Squared = 0.68
data(meatspec, package = "faraway")
trainmeat <- meatspec[1:172, ]
testmeat <- meatspec[173:215, ]
modlm <- lm(fat ~ ., trainmeat)
summary(modlm)$r.squared
[1] 0.997
rmse <- function(x, y) sqrt(mean((x - y)^2))
rmse(fitted(modlm), trainmeat$fat)
[1] 0.6903
rmse(predict(modlm, testmeat), testmeat$fat)
[1] 3.814
modsteplm <- step(modlm)
Start: AIC=74.51
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V38 + V39 + V40 + V41 +
V42 + V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 +
V52 + V53 + V54 + V55 + V56 + V57 + V58 + V59 + V60 + V61 +
V62 + V63 + V64 + V65 + V66 + V67 + V68 + V69 + V70 + V71 +
V72 + V73 + V74 + V75 + V76 + V77 + V78 + V79 + V80 + V81 +
V82 + V83 + V84 + V85 + V86 + V87 + V88 + V89 + V90 + V91 +
V92 + V93 + V94 + V95 + V96 + V97 + V98 + V99 + V100
Df Sum of Sq RSS AIC
- V54 1 0.00 82.0 72.5
- V38 1 0.00 82.0 72.5
- V89 1 0.00 82.0 72.5
- V75 1 0.00 82.0 72.5
- V100 1 0.00 82.0 72.5
- V67 1 0.01 82.0 72.5
- V20 1 0.01 82.0 72.5
- V88 1 0.01 82.0 72.5
- V71 1 0.02 82.0 72.6
- V47 1 0.02 82.0 72.6
- V76 1 0.02 82.0 72.6
- V90 1 0.03 82.0 72.6
- V94 1 0.05 82.0 72.6
- V95 1 0.05 82.0 72.6
- V91 1 0.06 82.0 72.6
- V9 1 0.09 82.1 72.7
- V70 1 0.10 82.1 72.7
- V18 1 0.10 82.1 72.7
- V57 1 0.11 82.1 72.7
- V33 1 0.11 82.1 72.8
- V49 1 0.20 82.2 72.9
- V58 1 0.20 82.2 72.9
- V48 1 0.20 82.2 72.9
- V65 1 0.22 82.2 73.0
- V66 1 0.24 82.2 73.0
- V98 1 0.27 82.2 73.1
- V56 1 0.27 82.2 73.1
- V87 1 0.27 82.2 73.1
- V34 1 0.32 82.3 73.2
- V3 1 0.34 82.3 73.2
- V86 1 0.34 82.3 73.2
- V11 1 0.41 82.4 73.4
- V93 1 0.41 82.4 73.4
- V10 1 0.47 82.4 73.5
- V55 1 0.47 82.4 73.5
- V68 1 0.49 82.5 73.5
- V35 1 0.56 82.5 73.7
- V99 1 0.62 82.6 73.8
- V12 1 0.63 82.6 73.8
- V62 1 0.67 82.6 73.9
- V92 1 0.71 82.7 74.0
- V37 1 0.80 82.8 74.2
- V36 1 0.82 82.8 74.2
- V81 1 0.83 82.8 74.2
- V16 1 0.88 82.8 74.3
- V27 1 0.93 82.9 74.4
- V19 1 0.95 82.9 74.5
<none> 82.0 74.5
- V59 1 1.03 83.0 74.7
- V24 1 1.09 83.1 74.8
- V72 1 1.10 83.1 74.8
- V69 1 1.10 83.1 74.8
- V61 1 1.14 83.1 74.9
- V17 1 1.21 83.2 75.0
- V96 1 1.39 83.4 75.4
- V8 1 1.43 83.4 75.5
- V25 1 1.46 83.4 75.5
- V32 1 1.56 83.5 75.8
- V13 1 1.61 83.6 75.9
- V84 1 1.73 83.7 76.1
- V83 1 1.75 83.7 76.2
- V31 1 1.88 83.8 76.4
- V21 1 1.95 83.9 76.5
- V44 1 2.11 84.1 76.9
- V77 1 2.23 84.2 77.1
- V4 1 2.24 84.2 77.1
- V53 1 2.24 84.2 77.2
- V43 1 2.43 84.4 77.5
- V6 1 2.44 84.4 77.6
- V60 1 2.61 84.6 77.9
- V74 1 2.64 84.6 78.0
- V14 1 2.73 84.7 78.2
- V15 1 2.98 84.9 78.7
- V30 1 3.21 85.2 79.1
- V7 1 3.23 85.2 79.2
- V46 1 3.62 85.6 79.9
- V5 1 3.87 85.8 80.4
- V97 1 3.93 85.9 80.6
- V82 1 3.93 85.9 80.6
- V26 1 4.01 86.0 80.7
- V63 1 4.49 86.5 81.7
- V42 1 4.73 86.7 82.2
- V2 1 5.13 87.1 82.9
- V23 1 5.24 87.2 83.2
- V22 1 5.32 87.3 83.3
- V45 1 5.97 87.9 84.6
- V50 1 6.41 88.4 85.5
- V41 1 6.62 88.6 85.9
- V85 1 6.67 88.6 86.0
- V78 1 6.99 89.0 86.6
- V64 1 7.75 89.7 88.1
- V73 1 7.90 89.9 88.3
- V52 1 8.07 90.0 88.7
- V39 1 9.47 91.4 91.3
- V29 1 9.73 91.7 91.8
- V51 1 10.73 92.7 93.7
- V40 1 11.57 93.5 95.2
- V28 1 12.48 94.4 96.9
- V1 1 12.69 94.7 97.3
- V79 1 13.21 95.2 98.2
- V80 1 13.85 95.8 99.4
Step: AIC=72.51
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V38 + V39 + V40 + V41 +
V42 + V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 +
V52 + V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 +
V63 + V64 + V65 + V66 + V67 + V68 + V69 + V70 + V71 + V72 +
V73 + V74 + V75 + V76 + V77 + V78 + V79 + V80 + V81 + V82 +
V83 + V84 + V85 + V86 + V87 + V88 + V89 + V90 + V91 + V92 +
V93 + V94 + V95 + V96 + V97 + V98 + V99 + V100
Df Sum of Sq RSS AIC
- V38 1 0.00 82.0 70.5
- V89 1 0.00 82.0 70.5
- V75 1 0.00 82.0 70.5
- V100 1 0.00 82.0 70.5
- V67 1 0.01 82.0 70.5
- V20 1 0.01 82.0 70.5
- V88 1 0.01 82.0 70.5
- V71 1 0.02 82.0 70.6
- V47 1 0.02 82.0 70.6
- V76 1 0.02 82.0 70.6
- V90 1 0.03 82.0 70.6
- V94 1 0.05 82.0 70.6
- V95 1 0.06 82.0 70.6
- V91 1 0.06 82.0 70.6
- V9 1 0.09 82.1 70.7
- V70 1 0.10 82.1 70.7
- V18 1 0.10 82.1 70.7
- V33 1 0.11 82.1 70.8
- V57 1 0.12 82.1 70.8
- V49 1 0.20 82.2 70.9
- V58 1 0.21 82.2 71.0
- V48 1 0.22 82.2 71.0
- V65 1 0.23 82.2 71.0
- V66 1 0.24 82.2 71.0
- V98 1 0.27 82.2 71.1
- V87 1 0.27 82.2 71.1
- V34 1 0.33 82.3 71.2
- V3 1 0.34 82.3 71.2
- V86 1 0.35 82.3 71.3
- V93 1 0.42 82.4 71.4
- V11 1 0.42 82.4 71.4
- V10 1 0.48 82.4 71.5
- V68 1 0.52 82.5 71.6
- V56 1 0.52 82.5 71.6
- V35 1 0.57 82.5 71.7
- V99 1 0.63 82.6 71.8
- V12 1 0.66 82.6 71.9
- V62 1 0.67 82.6 71.9
- V92 1 0.72 82.7 72.0
- V36 1 0.82 82.8 72.2
- V37 1 0.83 82.8 72.3
- V81 1 0.87 82.8 72.3
- V16 1 0.88 82.8 72.3
- V27 1 0.93 82.9 72.5
- V19 1 0.95 82.9 72.5
<none> 82.0 72.5
- V59 1 1.08 83.0 72.8
- V72 1 1.10 83.1 72.8
- V24 1 1.12 83.1 72.9
- V69 1 1.14 83.1 72.9
- V61 1 1.15 83.1 72.9
- V17 1 1.21 83.2 73.0
- V96 1 1.40 83.4 73.4
- V8 1 1.43 83.4 73.5
- V25 1 1.46 83.4 73.5
- V32 1 1.56 83.5 73.8
- V13 1 1.67 83.6 74.0
- V83 1 1.87 83.8 74.4
- V31 1 1.89 83.9 74.4
- V21 1 1.99 84.0 74.6
- V84 1 2.02 84.0 74.7
- V44 1 2.12 84.1 74.9
- V4 1 2.26 84.2 75.2
- V77 1 2.27 84.2 75.2
- V43 1 2.44 84.4 75.6
- V6 1 2.44 84.4 75.6
- V60 1 2.73 84.7 76.1
- V74 1 2.75 84.7 76.2
- V55 1 2.80 84.8 76.3
- V14 1 2.82 84.8 76.3
- V15 1 3.06 85.0 76.8
- V7 1 3.23 85.2 77.2
- V30 1 3.27 85.2 77.2
- V5 1 3.87 85.8 78.5
- V46 1 3.89 85.9 78.5
- V97 1 3.94 85.9 78.6
- V26 1 4.02 86.0 78.7
- V82 1 4.08 86.0 78.9
- V63 1 4.49 86.5 79.7
- V42 1 4.93 86.9 80.6
- V2 1 5.15 87.1 81.0
- V22 1 5.71 87.7 82.1
- V23 1 5.81 87.8 82.3
- V45 1 5.97 87.9 82.6
- V50 1 6.82 88.8 84.3
- V78 1 6.99 89.0 84.6
- V41 1 7.03 89.0 84.7
- V85 1 7.56 89.5 85.7
- V64 1 8.06 90.0 86.6
- V73 1 8.17 90.1 86.9
- V39 1 9.90 91.9 90.1
- V29 1 9.91 91.9 90.2
- V53 1 11.03 93.0 92.2
- V40 1 12.16 94.1 94.3
- V28 1 12.53 94.5 95.0
- V1 1 13.19 95.2 96.2
- V79 1 13.27 95.2 96.3
- V51 1 14.18 96.1 98.0
- V80 1 14.36 96.3 98.3
- V52 1 15.33 97.3 100.0
Step: AIC=70.51
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 +
V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 +
V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 +
V64 + V65 + V66 + V67 + V68 + V69 + V70 + V71 + V72 + V73 +
V74 + V75 + V76 + V77 + V78 + V79 + V80 + V81 + V82 + V83 +
V84 + V85 + V86 + V87 + V88 + V89 + V90 + V91 + V92 + V93 +
V94 + V95 + V96 + V97 + V98 + V99 + V100
Df Sum of Sq RSS AIC
- V89 1 0.00 82.0 68.5
- V75 1 0.00 82.0 68.5
- V100 1 0.00 82.0 68.5
- V67 1 0.01 82.0 68.5
- V20 1 0.01 82.0 68.5
- V88 1 0.01 82.0 68.5
- V71 1 0.02 82.0 68.6
- V47 1 0.02 82.0 68.6
- V76 1 0.02 82.0 68.6
- V90 1 0.03 82.0 68.6
- V94 1 0.05 82.0 68.6
- V95 1 0.06 82.0 68.6
- V91 1 0.06 82.0 68.6
- V9 1 0.09 82.1 68.7
- V70 1 0.10 82.1 68.7
- V18 1 0.10 82.1 68.7
- V33 1 0.12 82.1 68.8
- V57 1 0.12 82.1 68.8
- V49 1 0.21 82.2 69.0
- V58 1 0.22 82.2 69.0
- V65 1 0.23 82.2 69.0
- V66 1 0.24 82.2 69.0
- V48 1 0.25 82.2 69.0
- V98 1 0.27 82.2 69.1
- V87 1 0.27 82.2 69.1
- V34 1 0.33 82.3 69.2
- V3 1 0.34 82.3 69.2
- V86 1 0.35 82.3 69.3
- V93 1 0.42 82.4 69.4
- V11 1 0.43 82.4 69.4
- V10 1 0.48 82.4 69.5
- V68 1 0.52 82.5 69.6
- V56 1 0.53 82.5 69.6
- V35 1 0.58 82.5 69.7
- V99 1 0.63 82.6 69.8
- V12 1 0.66 82.6 69.9
- V62 1 0.68 82.6 69.9
- V92 1 0.72 82.7 70.0
- V36 1 0.84 82.8 70.3
- V81 1 0.87 82.8 70.3
- V16 1 0.91 82.9 70.4
- V27 1 0.93 82.9 70.5
- V19 1 0.95 82.9 70.5
<none> 82.0 70.5
- V59 1 1.10 83.1 70.8
- V37 1 1.10 83.1 70.8
- V24 1 1.13 83.1 70.9
- V72 1 1.14 83.1 70.9
- V69 1 1.14 83.1 70.9
- V61 1 1.16 83.1 70.9
- V17 1 1.29 83.3 71.2
- V8 1 1.43 83.4 71.5
- V25 1 1.46 83.4 71.5
- V96 1 1.55 83.5 71.7
- V32 1 1.59 83.6 71.8
- V13 1 1.67 83.6 72.0
- V83 1 1.88 83.8 72.4
- V31 1 1.92 83.9 72.5
- V21 1 2.00 84.0 72.7
- V84 1 2.15 84.1 73.0
- V77 1 2.27 84.2 73.2
- V4 1 2.27 84.2 73.2
- V6 1 2.45 84.4 73.6
- V44 1 2.53 84.5 73.7
- V60 1 2.73 84.7 74.1
- V43 1 2.80 84.8 74.3
- V14 1 2.82 84.8 74.3
- V55 1 2.86 84.8 74.4
- V74 1 2.95 84.9 74.6
- V15 1 3.07 85.0 74.8
- V7 1 3.24 85.2 75.2
- V30 1 3.28 85.2 75.3
- V5 1 3.89 85.9 76.5
- V46 1 3.89 85.9 76.5
- V26 1 4.02 86.0 76.7
- V82 1 4.12 86.1 76.9
- V63 1 4.50 86.5 77.7
- V97 1 4.51 86.5 77.7
- V2 1 5.27 87.2 79.2
- V42 1 5.50 87.5 79.7
- V22 1 5.74 87.7 80.2
- V23 1 5.83 87.8 80.3
- V45 1 6.42 88.4 81.5
- V50 1 6.84 88.8 82.3
- V78 1 6.99 89.0 82.6
- V41 1 7.47 89.4 83.5
- V85 1 7.77 89.7 84.1
- V64 1 8.09 90.1 84.7
- V73 1 8.93 90.9 86.3
- V29 1 9.93 91.9 88.2
- V53 1 11.07 93.0 90.3
- V28 1 12.62 94.6 93.1
- V40 1 13.04 95.0 93.9
- V79 1 13.29 95.3 94.4
- V1 1 13.86 95.8 95.4
- V51 1 14.20 96.2 96.0
- V80 1 14.38 96.3 96.3
- V52 1 15.33 97.3 98.0
- V39 1 18.91 100.9 104.2
Step: AIC=68.52
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 +
V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 +
V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 +
V64 + V65 + V66 + V67 + V68 + V69 + V70 + V71 + V72 + V73 +
V74 + V75 + V76 + V77 + V78 + V79 + V80 + V81 + V82 + V83 +
V84 + V85 + V86 + V87 + V88 + V90 + V91 + V92 + V93 + V94 +
V95 + V96 + V97 + V98 + V99 + V100
Df Sum of Sq RSS AIC
- V100 1 0.00 82.0 66.5
- V67 1 0.01 82.0 66.5
- V75 1 0.01 82.0 66.5
- V20 1 0.01 82.0 66.5
- V88 1 0.02 82.0 66.6
- V47 1 0.02 82.0 66.6
- V71 1 0.03 82.0 66.6
- V76 1 0.04 82.0 66.6
- V90 1 0.04 82.0 66.6
- V94 1 0.05 82.0 66.6
- V91 1 0.06 82.0 66.6
- V95 1 0.06 82.0 66.6
- V9 1 0.10 82.1 66.7
- V70 1 0.10 82.1 66.7
- V18 1 0.11 82.1 66.7
- V33 1 0.11 82.1 66.8
- V57 1 0.13 82.1 66.8
- V49 1 0.22 82.2 67.0
- V58 1 0.22 82.2 67.0
- V48 1 0.25 82.2 67.0
- V66 1 0.25 82.2 67.0
- V98 1 0.27 82.2 67.1
- V65 1 0.28 82.2 67.1
- V34 1 0.33 82.3 67.2
- V87 1 0.34 82.3 67.2
- V86 1 0.35 82.3 67.3
- V3 1 0.36 82.3 67.3
- V93 1 0.42 82.4 67.4
- V11 1 0.43 82.4 67.4
- V68 1 0.52 82.5 67.6
- V10 1 0.52 82.5 67.6
- V56 1 0.57 82.5 67.7
- V35 1 0.64 82.6 67.8
- V99 1 0.66 82.6 67.9
- V12 1 0.67 82.6 67.9
- V92 1 0.73 82.7 68.0
- V62 1 0.73 82.7 68.0
- V81 1 0.91 82.9 68.4
- V36 1 0.91 82.9 68.4
- V16 1 0.92 82.9 68.4
- V27 1 0.93 82.9 68.5
- V19 1 0.95 82.9 68.5
<none> 82.0 68.5
- V72 1 1.17 83.1 68.9
- V59 1 1.17 83.1 69.0
- V37 1 1.18 83.1 69.0
- V24 1 1.18 83.1 69.0
- V69 1 1.19 83.2 69.0
- V17 1 1.29 83.3 69.2
- V61 1 1.32 83.3 69.3
- V8 1 1.45 83.4 69.5
- V25 1 1.51 83.5 69.6
- V96 1 1.56 83.5 69.8
- V32 1 1.63 83.6 69.9
- V13 1 1.68 83.6 70.0
- V31 1 1.92 83.9 70.5
- V83 1 1.99 84.0 70.6
- V21 1 2.01 84.0 70.7
- V84 1 2.20 84.2 71.1
- V4 1 2.27 84.2 71.2
- V77 1 2.33 84.3 71.3
- V6 1 2.45 84.4 71.6
- V44 1 2.55 84.5 71.8
- V14 1 2.87 84.8 72.4
- V43 1 2.89 84.9 72.5
- V60 1 2.96 84.9 72.6
- V55 1 2.97 84.9 72.6
- V74 1 3.05 85.0 72.8
- V15 1 3.10 85.1 72.9
- V7 1 3.27 85.2 73.2
- V30 1 3.29 85.3 73.3
- V5 1 3.89 85.9 74.5
- V26 1 4.02 86.0 74.8
- V46 1 4.06 86.0 74.8
- V82 1 4.12 86.1 75.0
- V63 1 4.50 86.5 75.7
- V97 1 4.61 86.6 75.9
- V2 1 5.33 87.3 77.3
- V42 1 5.55 87.5 77.8
- V22 1 5.81 87.8 78.3
- V23 1 5.94 87.9 78.5
- V45 1 6.65 88.6 79.9
- V50 1 6.88 88.8 80.4
- V41 1 7.50 89.5 81.6
- V78 1 7.62 89.6 81.8
- V85 1 7.78 89.7 82.1
- V64 1 8.21 90.2 82.9
- V73 1 8.93 90.9 84.3
- V29 1 9.95 91.9 86.2
- V53 1 11.22 93.2 88.6
- V28 1 12.64 94.6 91.2
- V40 1 13.06 95.0 91.9
- V79 1 13.42 95.4 92.6
- V1 1 14.20 96.2 94.0
- V51 1 14.21 96.2 94.0
- V80 1 15.03 97.0 95.5
- V52 1 15.40 97.4 96.1
- V39 1 19.03 101.0 102.4
Step: AIC=66.52
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 +
V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 +
V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 +
V64 + V65 + V66 + V67 + V68 + V69 + V70 + V71 + V72 + V73 +
V74 + V75 + V76 + V77 + V78 + V79 + V80 + V81 + V82 + V83 +
V84 + V85 + V86 + V87 + V88 + V90 + V91 + V92 + V93 + V94 +
V95 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V67 1 0.01 82.0 64.5
- V75 1 0.01 82.0 64.5
- V20 1 0.01 82.0 64.5
- V88 1 0.02 82.0 64.6
- V47 1 0.03 82.0 64.6
- V71 1 0.03 82.0 64.6
- V76 1 0.04 82.0 64.6
- V90 1 0.04 82.0 64.6
- V94 1 0.05 82.0 64.6
- V91 1 0.06 82.0 64.7
- V95 1 0.06 82.0 64.7
- V9 1 0.10 82.1 64.7
- V70 1 0.10 82.1 64.7
- V18 1 0.11 82.1 64.8
- V33 1 0.11 82.1 64.8
- V57 1 0.12 82.1 64.8
- V58 1 0.22 82.2 65.0
- V49 1 0.23 82.2 65.0
- V48 1 0.24 82.2 65.0
- V66 1 0.26 82.2 65.1
- V65 1 0.28 82.2 65.1
- V34 1 0.33 82.3 65.2
- V87 1 0.34 82.3 65.2
- V98 1 0.37 82.3 65.3
- V86 1 0.37 82.3 65.3
- V3 1 0.38 82.3 65.3
- V93 1 0.42 82.4 65.4
- V11 1 0.45 82.4 65.5
- V68 1 0.52 82.5 65.6
- V10 1 0.52 82.5 65.6
- V56 1 0.57 82.5 65.7
- V35 1 0.63 82.6 65.8
- V12 1 0.70 82.7 66.0
- V92 1 0.73 82.7 66.0
- V62 1 0.73 82.7 66.0
- V81 1 0.90 82.9 66.4
- V36 1 0.91 82.9 66.4
- V16 1 0.92 82.9 66.4
- V27 1 0.94 82.9 66.5
<none> 82.0 66.5
- V19 1 0.98 82.9 66.6
- V59 1 1.17 83.1 67.0
- V72 1 1.17 83.1 67.0
- V37 1 1.17 83.1 67.0
- V24 1 1.18 83.1 67.0
- V69 1 1.20 83.2 67.0
- V17 1 1.30 83.3 67.2
- V61 1 1.40 83.4 67.4
- V8 1 1.46 83.4 67.6
- V25 1 1.51 83.5 67.7
- V96 1 1.57 83.5 67.8
- V32 1 1.63 83.6 67.9
- V13 1 1.83 83.8 68.3
- V31 1 1.92 83.9 68.5
- V21 1 2.02 84.0 68.7
- V83 1 2.04 84.0 68.8
- V84 1 2.20 84.2 69.1
- V4 1 2.28 84.3 69.2
- V6 1 2.45 84.4 69.6
- V44 1 2.56 84.5 69.8
- V77 1 2.86 84.8 70.4
- V55 1 2.97 84.9 70.6
- V43 1 3.01 85.0 70.7
- V60 1 3.04 85.0 70.8
- V74 1 3.07 85.0 70.8
- V14 1 3.09 85.1 70.9
- V15 1 3.18 85.1 71.1
- V7 1 3.27 85.2 71.2
- V30 1 3.29 85.3 71.3
- V5 1 3.89 85.9 72.5
- V99 1 3.95 85.9 72.6
- V26 1 4.09 86.1 72.9
- V46 1 4.16 86.1 73.0
- V82 1 4.24 86.2 73.2
- V63 1 4.57 86.5 73.8
- V97 1 4.61 86.6 73.9
- V2 1 5.45 87.4 75.6
- V42 1 5.70 87.7 76.1
- V22 1 5.89 87.9 76.5
- V23 1 5.99 88.0 76.7
- V45 1 6.69 88.7 78.0
- V50 1 6.91 88.9 78.4
- V41 1 7.50 89.5 79.6
- V85 1 7.81 89.8 80.2
- V64 1 8.42 90.4 81.3
- V78 1 8.61 90.6 81.7
- V73 1 8.97 90.9 82.4
- V29 1 9.98 92.0 84.3
- V53 1 11.29 93.3 86.7
- V28 1 12.64 94.6 89.2
- V40 1 13.11 95.1 90.0
- V79 1 13.42 95.4 90.6
- V1 1 14.24 96.2 92.1
- V51 1 14.57 96.5 92.7
- V80 1 15.04 97.0 93.5
- V52 1 15.42 97.4 94.2
- V39 1 19.09 101.1 100.5
Step: AIC=64.54
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 +
V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 +
V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 +
V64 + V65 + V66 + V68 + V69 + V70 + V71 + V72 + V73 + V74 +
V75 + V76 + V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 +
V85 + V86 + V87 + V88 + V90 + V91 + V92 + V93 + V94 + V95 +
V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V75 1 0.01 82.0 62.6
- V71 1 0.02 82.0 62.6
- V20 1 0.02 82.0 62.6
- V88 1 0.02 82.0 62.6
- V47 1 0.03 82.0 62.6
- V76 1 0.04 82.0 62.6
- V90 1 0.04 82.0 62.6
- V94 1 0.05 82.0 62.6
- V91 1 0.06 82.0 62.7
- V95 1 0.07 82.0 62.7
- V9 1 0.10 82.1 62.8
- V18 1 0.11 82.1 62.8
- V33 1 0.11 82.1 62.8
- V70 1 0.13 82.1 62.8
- V57 1 0.15 82.1 62.8
- V49 1 0.23 82.2 63.0
- V48 1 0.30 82.3 63.2
- V58 1 0.31 82.3 63.2
- V34 1 0.33 82.3 63.2
- V87 1 0.34 82.3 63.2
- V98 1 0.36 82.3 63.3
- V86 1 0.36 82.3 63.3
- V3 1 0.37 82.4 63.3
- V65 1 0.40 82.4 63.4
- V93 1 0.42 82.4 63.4
- V11 1 0.45 82.4 63.5
- V10 1 0.52 82.5 63.6
- V66 1 0.59 82.6 63.8
- V35 1 0.63 82.6 63.8
- V56 1 0.66 82.6 63.9
- V12 1 0.69 82.7 64.0
- V62 1 0.73 82.7 64.1
- V92 1 0.74 82.7 64.1
- V36 1 0.91 82.9 64.4
- V16 1 0.92 82.9 64.4
- V27 1 0.94 82.9 64.5
<none> 82.0 64.5
- V81 1 1.00 83.0 64.6
- V19 1 1.03 83.0 64.7
- V24 1 1.20 83.2 65.0
- V37 1 1.24 83.2 65.1
- V72 1 1.30 83.3 65.3
- V17 1 1.44 83.4 65.5
- V8 1 1.46 83.4 65.6
- V61 1 1.55 83.5 65.7
- V69 1 1.57 83.5 65.8
- V59 1 1.58 83.6 65.8
- V96 1 1.60 83.6 65.9
- V32 1 1.62 83.6 65.9
- V25 1 1.71 83.7 66.1
- V68 1 1.77 83.8 66.2
- V13 1 1.83 83.8 66.3
- V31 1 1.92 83.9 66.5
- V21 1 2.18 84.2 67.0
- V4 1 2.30 84.3 67.3
- V83 1 2.35 84.3 67.4
- V84 1 2.43 84.4 67.6
- V6 1 2.49 84.5 67.7
- V44 1 2.58 84.6 67.9
- V77 1 2.87 84.8 68.4
- V43 1 3.01 85.0 68.7
- V14 1 3.10 85.1 68.9
- V55 1 3.13 85.1 69.0
- V15 1 3.20 85.2 69.1
- V74 1 3.25 85.2 69.2
- V30 1 3.28 85.3 69.3
- V7 1 3.30 85.3 69.3
- V60 1 3.43 85.4 69.6
- V5 1 3.92 85.9 70.6
- V99 1 4.11 86.1 71.0
- V46 1 4.25 86.2 71.2
- V26 1 4.29 86.3 71.3
- V63 1 4.62 86.6 72.0
- V97 1 4.66 86.6 72.1
- V82 1 4.70 86.7 72.1
- V2 1 5.55 87.5 73.8
- V42 1 5.76 87.7 74.2
- V23 1 6.25 88.2 75.2
- V22 1 6.28 88.3 75.2
- V50 1 6.94 88.9 76.5
- V45 1 7.01 89.0 76.7
- V41 1 7.53 89.5 77.6
- V85 1 7.85 89.8 78.3
- V64 1 8.59 90.6 79.7
- V78 1 8.61 90.6 79.7
- V73 1 8.98 91.0 80.4
- V29 1 10.00 92.0 82.3
- V53 1 11.29 93.3 84.7
- V28 1 12.81 94.8 87.5
- V40 1 13.11 95.1 88.1
- V79 1 13.60 95.6 88.9
- V1 1 14.25 96.2 90.1
- V80 1 15.10 97.1 91.6
- V51 1 15.18 97.2 91.8
- V52 1 15.58 97.6 92.5
- V39 1 19.22 101.2 98.8
Step: AIC=62.56
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V20 + V21 +
V22 + V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 +
V32 + V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 +
V43 + V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 +
V53 + V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 +
V64 + V65 + V66 + V68 + V69 + V70 + V71 + V72 + V73 + V74 +
V76 + V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 +
V86 + V87 + V88 + V90 + V91 + V92 + V93 + V94 + V95 + V96 +
V97 + V98 + V99
Df Sum of Sq RSS AIC
- V20 1 0.02 82.0 60.6
- V88 1 0.02 82.0 60.6
- V47 1 0.03 82.0 60.6
- V71 1 0.03 82.0 60.6
- V76 1 0.03 82.0 60.6
- V94 1 0.04 82.0 60.6
- V90 1 0.05 82.0 60.7
- V91 1 0.07 82.1 60.7
- V95 1 0.07 82.1 60.7
- V9 1 0.10 82.1 60.8
- V18 1 0.11 82.1 60.8
- V33 1 0.11 82.1 60.8
- V70 1 0.14 82.1 60.8
- V57 1 0.15 82.1 60.9
- V49 1 0.26 82.2 61.1
- V48 1 0.30 82.3 61.2
- V87 1 0.33 82.3 61.2
- V58 1 0.33 82.3 61.3
- V34 1 0.37 82.4 61.3
- V86 1 0.37 82.4 61.3
- V98 1 0.37 82.4 61.3
- V3 1 0.38 82.4 61.3
- V65 1 0.41 82.4 61.4
- V11 1 0.46 82.4 61.5
- V93 1 0.46 82.4 61.5
- V10 1 0.52 82.5 61.6
- V66 1 0.59 82.6 61.8
- V35 1 0.63 82.6 61.9
- V56 1 0.65 82.6 61.9
- V12 1 0.68 82.7 62.0
- V92 1 0.73 82.7 62.1
- V62 1 0.86 82.8 62.3
- V36 1 0.90 82.9 62.4
- V16 1 0.93 82.9 62.5
<none> 82.0 62.6
- V19 1 1.03 83.0 62.7
- V81 1 1.03 83.0 62.7
- V27 1 1.08 83.1 62.8
- V37 1 1.23 83.2 63.1
- V24 1 1.24 83.2 63.1
- V72 1 1.44 83.4 63.6
- V8 1 1.45 83.4 63.6
- V17 1 1.46 83.4 63.6
- V61 1 1.57 83.6 63.8
- V96 1 1.60 83.6 63.9
- V59 1 1.60 83.6 63.9
- V32 1 1.62 83.6 63.9
- V25 1 1.71 83.7 64.1
- V13 1 1.82 83.8 64.3
- V69 1 1.85 83.8 64.4
- V31 1 1.91 83.9 64.5
- V68 1 1.99 84.0 64.7
- V4 1 2.33 84.3 65.4
- V21 1 2.33 84.3 65.4
- V83 1 2.37 84.4 65.4
- V84 1 2.43 84.4 65.6
- V6 1 2.48 84.5 65.7
- V44 1 2.67 84.7 66.1
- V77 1 2.86 84.8 66.4
- V43 1 3.04 85.0 66.8
- V14 1 3.13 85.1 67.0
- V55 1 3.14 85.1 67.0
- V15 1 3.22 85.2 67.2
- V7 1 3.29 85.3 67.3
- V30 1 3.31 85.3 67.4
- V60 1 3.42 85.4 67.6
- V5 1 3.92 85.9 68.6
- V99 1 4.11 86.1 69.0
- V46 1 4.25 86.2 69.2
- V26 1 4.32 86.3 69.4
- V63 1 4.67 86.7 70.1
- V97 1 4.67 86.7 70.1
- V82 1 4.72 86.7 70.2
- V2 1 5.57 87.6 71.9
- V42 1 5.76 87.7 72.2
- V23 1 6.42 88.4 73.5
- V22 1 6.53 88.5 73.7
- V74 1 7.06 89.0 74.8
- V45 1 7.10 89.1 74.8
- V50 1 7.18 89.2 75.0
- V41 1 7.57 89.6 75.8
- V85 1 7.84 89.8 76.3
- V64 1 8.58 90.6 77.7
- V78 1 8.68 90.7 77.9
- V73 1 9.01 91.0 78.5
- V29 1 10.28 92.3 80.9
- V53 1 11.49 93.5 83.1
- V28 1 12.82 94.8 85.5
- V40 1 13.41 95.4 86.6
- V79 1 13.63 95.6 87.0
- V1 1 14.86 96.8 89.2
- V80 1 15.22 97.2 89.9
- V51 1 15.75 97.7 90.8
- V52 1 16.06 98.0 91.3
- V39 1 20.16 102.1 98.4
Step: AIC=60.59
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 + V53 +
V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 +
V65 + V66 + V68 + V69 + V70 + V71 + V72 + V73 + V74 + V76 +
V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V86 +
V87 + V88 + V90 + V91 + V92 + V93 + V94 + V95 + V96 + V97 +
V98 + V99
Df Sum of Sq RSS AIC
- V88 1 0.02 82.0 58.6
- V47 1 0.03 82.0 58.6
- V76 1 0.03 82.0 58.6
- V71 1 0.03 82.0 58.7
- V94 1 0.05 82.1 58.7
- V90 1 0.07 82.1 58.7
- V95 1 0.07 82.1 58.7
- V9 1 0.09 82.1 58.8
- V91 1 0.09 82.1 58.8
- V33 1 0.10 82.1 58.8
- V18 1 0.11 82.1 58.8
- V70 1 0.13 82.1 58.9
- V57 1 0.20 82.2 59.0
- V48 1 0.30 82.3 59.2
- V49 1 0.30 82.3 59.2
- V87 1 0.31 82.3 59.2
- V58 1 0.33 82.3 59.3
- V98 1 0.36 82.4 59.3
- V3 1 0.38 82.4 59.4
- V65 1 0.39 82.4 59.4
- V86 1 0.42 82.4 59.5
- V34 1 0.43 82.4 59.5
- V93 1 0.45 82.4 59.5
- V11 1 0.48 82.5 59.6
- V10 1 0.58 82.6 59.8
- V35 1 0.61 82.6 59.9
- V66 1 0.62 82.6 59.9
- V12 1 0.69 82.7 60.0
- V92 1 0.71 82.7 60.1
- V56 1 0.74 82.7 60.1
- V36 1 0.88 82.9 60.4
- V62 1 0.96 83.0 60.6
<none> 82.0 60.6
- V81 1 1.02 83.0 60.7
- V16 1 1.02 83.0 60.7
- V27 1 1.08 83.1 60.8
- V37 1 1.26 83.3 61.2
- V72 1 1.44 83.4 61.6
- V8 1 1.45 83.5 61.6
- V61 1 1.56 83.6 61.8
- V59 1 1.59 83.6 61.9
- V32 1 1.63 83.6 62.0
- V96 1 1.65 83.7 62.0
- V17 1 1.70 83.7 62.1
- V24 1 1.71 83.7 62.1
- V69 1 1.84 83.8 62.4
- V25 1 1.90 83.9 62.5
- V13 1 1.93 83.9 62.6
- V31 1 1.93 83.9 62.6
- V68 1 2.00 84.0 62.7
- V19 1 2.22 84.2 63.2
- V4 1 2.32 84.3 63.4
- V84 1 2.44 84.4 63.6
- V6 1 2.47 84.5 63.7
- V44 1 2.73 84.7 64.2
- V77 1 2.85 84.9 64.5
- V83 1 2.87 84.9 64.5
- V43 1 3.13 85.1 65.0
- V55 1 3.18 85.2 65.1
- V15 1 3.22 85.2 65.2
- V14 1 3.22 85.2 65.2
- V7 1 3.31 85.3 65.4
- V30 1 3.33 85.3 65.4
- V60 1 3.45 85.5 65.7
- V5 1 3.92 85.9 66.6
- V99 1 4.10 86.1 67.0
- V46 1 4.31 86.3 67.4
- V26 1 4.31 86.3 67.4
- V97 1 4.66 86.7 68.1
- V63 1 4.83 86.8 68.4
- V82 1 5.29 87.3 69.4
- V2 1 5.56 87.6 69.9
- V42 1 5.88 87.9 70.5
- V45 1 7.08 89.1 72.8
- V74 1 7.21 89.2 73.1
- V41 1 7.56 89.6 73.8
- V85 1 7.88 89.9 74.4
- V50 1 8.17 90.2 74.9
- V64 1 8.72 90.7 76.0
- V78 1 8.76 90.8 76.0
- V73 1 9.00 91.0 76.5
- V23 1 9.47 91.5 77.4
- V29 1 10.26 92.3 78.9
- V53 1 11.52 93.5 81.2
- V21 1 12.17 94.2 82.4
- V28 1 13.00 95.0 83.9
- V22 1 13.47 95.5 84.7
- V79 1 13.69 95.7 85.1
- V40 1 13.82 95.8 85.4
- V1 1 15.04 97.0 87.6
- V80 1 15.41 97.4 88.2
- V52 1 16.29 98.3 89.8
- V51 1 16.78 98.8 90.6
- V39 1 22.07 104.1 99.6
Step: AIC=58.64
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V47 + V48 + V49 + V50 + V51 + V52 + V53 +
V55 + V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 +
V65 + V66 + V68 + V69 + V70 + V71 + V72 + V73 + V74 + V76 +
V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V86 +
V87 + V90 + V91 + V92 + V93 + V94 + V95 + V96 + V97 + V98 +
V99
Df Sum of Sq RSS AIC
- V47 1 0.03 82.1 56.7
- V71 1 0.04 82.1 56.7
- V76 1 0.04 82.1 56.7
- V94 1 0.06 82.1 56.8
- V95 1 0.06 82.1 56.8
- V33 1 0.09 82.1 56.8
- V9 1 0.10 82.1 56.8
- V70 1 0.11 82.1 56.9
- V18 1 0.12 82.1 56.9
- V91 1 0.15 82.2 57.0
- V57 1 0.18 82.2 57.0
- V90 1 0.20 82.2 57.1
- V48 1 0.29 82.3 57.3
- V49 1 0.32 82.3 57.3
- V58 1 0.34 82.4 57.4
- V98 1 0.36 82.4 57.4
- V3 1 0.36 82.4 57.4
- V86 1 0.42 82.4 57.5
- V65 1 0.42 82.4 57.5
- V34 1 0.43 82.5 57.5
- V93 1 0.44 82.5 57.6
- V11 1 0.48 82.5 57.6
- V10 1 0.58 82.6 57.9
- V66 1 0.59 82.6 57.9
- V35 1 0.63 82.7 58.0
- V12 1 0.68 82.7 58.1
- V92 1 0.69 82.7 58.1
- V56 1 0.72 82.7 58.1
<none> 82.0 58.6
- V36 1 0.97 83.0 58.7
- V62 1 0.99 83.0 58.7
- V16 1 1.00 83.0 58.7
- V81 1 1.05 83.1 58.8
- V27 1 1.08 83.1 58.9
- V72 1 1.41 83.4 59.6
- V37 1 1.43 83.5 59.6
- V8 1 1.43 83.5 59.6
- V61 1 1.58 83.6 59.9
- V32 1 1.61 83.6 60.0
- V59 1 1.62 83.7 60.0
- V96 1 1.64 83.7 60.0
- V17 1 1.67 83.7 60.1
- V24 1 1.69 83.7 60.1
- V69 1 1.83 83.9 60.4
- V87 1 1.88 83.9 60.5
- V13 1 1.91 83.9 60.6
- V31 1 1.91 83.9 60.6
- V68 1 2.00 84.0 60.8
- V25 1 2.06 84.1 60.9
- V4 1 2.30 84.3 61.4
- V19 1 2.35 84.4 61.5
- V6 1 2.51 84.5 61.8
- V84 1 2.53 84.6 61.9
- V77 1 2.84 84.9 62.5
- V44 1 2.84 84.9 62.5
- V83 1 2.86 84.9 62.5
- V55 1 3.17 85.2 63.2
- V15 1 3.20 85.2 63.2
- V14 1 3.21 85.2 63.2
- V30 1 3.31 85.3 63.4
- V7 1 3.40 85.4 63.6
- V43 1 3.41 85.4 63.7
- V60 1 3.49 85.5 63.8
- V5 1 4.01 86.0 64.9
- V99 1 4.08 86.1 65.0
- V46 1 4.36 86.4 65.5
- V26 1 4.48 86.5 65.8
- V97 1 4.65 86.7 66.1
- V63 1 4.81 86.8 66.4
- V82 1 5.38 87.4 67.6
- V2 1 5.53 87.6 67.9
- V42 1 6.79 88.8 70.3
- V45 1 7.22 89.2 71.2
- V74 1 7.24 89.3 71.2
- V85 1 7.86 89.9 72.4
- V50 1 8.45 90.5 73.5
- V41 1 8.55 90.6 73.7
- V78 1 8.74 90.8 74.1
- V64 1 8.76 90.8 74.1
- V73 1 8.97 91.0 74.5
- V23 1 9.48 91.5 75.5
- V29 1 10.26 92.3 76.9
- V53 1 11.63 93.7 79.4
- V21 1 12.36 94.4 80.8
- V28 1 12.98 95.0 81.9
- V22 1 13.69 95.7 83.2
- V79 1 13.87 95.9 83.5
- V40 1 14.45 96.5 84.5
- V1 1 15.16 97.2 85.8
- V80 1 15.41 97.4 86.2
- V52 1 16.48 98.5 88.1
- V51 1 17.04 99.1 89.1
- V39 1 22.73 104.8 98.7
Step: AIC=56.71
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V71 + V72 + V73 + V74 + V76 + V77 +
V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 +
V90 + V91 + V92 + V93 + V94 + V95 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V71 1 0.03 82.1 54.8
- V76 1 0.04 82.1 54.8
- V94 1 0.05 82.1 54.8
- V95 1 0.07 82.1 54.9
- V33 1 0.09 82.1 54.9
- V9 1 0.09 82.2 54.9
- V70 1 0.11 82.2 54.9
- V18 1 0.12 82.2 55.0
- V91 1 0.17 82.2 55.1
- V57 1 0.18 82.2 55.1
- V90 1 0.23 82.3 55.2
- V48 1 0.27 82.3 55.3
- V49 1 0.31 82.4 55.4
- V3 1 0.34 82.4 55.4
- V58 1 0.38 82.4 55.5
- V98 1 0.38 82.4 55.5
- V65 1 0.39 82.4 55.5
- V34 1 0.42 82.5 55.6
- V86 1 0.42 82.5 55.6
- V93 1 0.43 82.5 55.6
- V11 1 0.48 82.5 55.7
- V66 1 0.60 82.7 56.0
- V35 1 0.63 82.7 56.0
- V10 1 0.66 82.7 56.1
- V12 1 0.67 82.7 56.1
- V92 1 0.67 82.7 56.1
- V56 1 0.69 82.7 56.1
- V36 1 0.94 83.0 56.7
<none> 82.1 56.7
- V16 1 0.98 83.0 56.7
- V81 1 1.03 83.1 56.9
- V27 1 1.11 83.2 57.0
- V62 1 1.20 83.3 57.2
- V37 1 1.40 83.5 57.6
- V8 1 1.41 83.5 57.6
- V72 1 1.44 83.5 57.7
- V32 1 1.59 83.6 58.0
- V61 1 1.62 83.7 58.1
- V59 1 1.63 83.7 58.1
- V17 1 1.65 83.7 58.1
- V96 1 1.66 83.7 58.1
- V69 1 1.80 83.9 58.4
- V87 1 1.85 83.9 58.5
- V31 1 1.89 84.0 58.6
- V13 1 1.91 84.0 58.7
- V24 1 1.96 84.0 58.8
- V68 1 1.98 84.0 58.8
- V25 1 2.03 84.1 58.9
- V4 1 2.27 84.3 59.4
- V6 1 2.49 84.5 59.8
- V84 1 2.51 84.6 59.9
- V19 1 2.51 84.6 59.9
- V44 1 2.84 84.9 60.6
- V83 1 2.88 84.9 60.6
- V77 1 2.90 85.0 60.7
- V55 1 3.14 85.2 61.2
- V14 1 3.22 85.3 61.3
- V30 1 3.29 85.3 61.5
- V15 1 3.29 85.3 61.5
- V7 1 3.37 85.4 61.6
- V60 1 3.46 85.5 61.8
- V43 1 3.50 85.6 61.9
- V5 1 3.98 86.0 62.9
- V99 1 4.06 86.1 63.0
- V26 1 4.51 86.6 63.9
- V97 1 4.69 86.7 64.3
- V63 1 5.18 87.2 65.2
- V82 1 5.43 87.5 65.7
- V2 1 5.51 87.6 65.9
- V42 1 6.83 88.9 68.5
- V45 1 7.37 89.4 69.5
- V74 1 7.49 89.6 69.7
- V46 1 7.60 89.7 69.9
- V85 1 7.86 89.9 70.4
- V50 1 8.46 90.5 71.6
- V41 1 8.52 90.6 71.7
- V78 1 9.10 91.2 72.8
- V64 1 9.14 91.2 72.9
- V73 1 9.21 91.3 73.0
- V29 1 10.51 92.6 75.4
- V23 1 10.56 92.6 75.5
- V53 1 11.62 93.7 77.5
- V28 1 12.95 95.0 79.9
- V21 1 13.15 95.2 80.3
- V79 1 14.02 96.1 81.8
- V40 1 14.43 96.5 82.6
- V22 1 14.73 96.8 83.1
- V80 1 15.38 97.4 84.2
- V1 1 15.41 97.5 84.3
- V52 1 16.46 98.5 86.1
- V51 1 17.03 99.1 87.1
- V39 1 22.73 104.8 96.8
Step: AIC=54.78
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V76 + V77 + V78 +
V79 + V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 + V90 +
V91 + V92 + V93 + V94 + V95 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V76 1 0.03 82.1 52.8
- V95 1 0.07 82.2 52.9
- V94 1 0.08 82.2 52.9
- V33 1 0.09 82.2 53.0
- V9 1 0.11 82.2 53.0
- V91 1 0.14 82.2 53.1
- V18 1 0.14 82.2 53.1
- V57 1 0.18 82.3 53.2
- V90 1 0.20 82.3 53.2
- V49 1 0.28 82.4 53.4
- V48 1 0.31 82.4 53.4
- V3 1 0.34 82.4 53.5
- V65 1 0.38 82.5 53.6
- V86 1 0.39 82.5 53.6
- V93 1 0.41 82.5 53.6
- V58 1 0.43 82.5 53.7
- V34 1 0.44 82.5 53.7
- V98 1 0.49 82.6 53.8
- V11 1 0.52 82.6 53.9
- V35 1 0.60 82.7 54.0
- V66 1 0.63 82.7 54.1
- V12 1 0.63 82.7 54.1
- V10 1 0.64 82.7 54.1
- V56 1 0.68 82.8 54.2
- V92 1 0.79 82.9 54.4
- V70 1 0.80 82.9 54.4
- V36 1 0.91 83.0 54.7
- V16 1 0.94 83.0 54.7
<none> 82.1 54.8
- V27 1 1.09 83.2 55.1
- V81 1 1.21 83.3 55.3
- V37 1 1.37 83.5 55.6
- V62 1 1.45 83.5 55.8
- V8 1 1.51 83.6 55.9
- V32 1 1.63 83.7 56.2
- V17 1 1.69 83.8 56.3
- V59 1 1.73 83.8 56.4
- V61 1 1.86 83.9 56.6
- V13 1 1.88 84.0 56.7
- V31 1 1.95 84.0 56.8
- V24 1 1.97 84.1 56.9
- V68 1 2.05 84.1 57.0
- V87 1 2.07 84.2 57.1
- V96 1 2.11 84.2 57.2
- V25 1 2.17 84.3 57.3
- V4 1 2.30 84.4 57.5
- V69 1 2.49 84.6 57.9
- V84 1 2.52 84.6 58.0
- V19 1 2.53 84.6 58.0
- V6 1 2.66 84.8 58.3
- V44 1 2.87 85.0 58.7
- V83 1 2.91 85.0 58.8
- V72 1 3.04 85.1 59.0
- V55 1 3.15 85.2 59.3
- V14 1 3.20 85.3 59.4
- V15 1 3.35 85.4 59.7
- V30 1 3.37 85.5 59.7
- V7 1 3.47 85.6 59.9
- V60 1 3.54 85.6 60.0
- V77 1 3.55 85.6 60.1
- V43 1 3.87 86.0 60.7
- V99 1 4.02 86.1 61.0
- V5 1 4.12 86.2 61.2
- V26 1 5.02 87.1 63.0
- V63 1 5.19 87.3 63.3
- V82 1 5.41 87.5 63.7
- V2 1 5.60 87.7 64.1
- V97 1 6.37 88.5 65.6
- V42 1 7.30 89.4 67.4
- V45 1 7.63 89.7 68.1
- V74 1 7.69 89.8 68.2
- V85 1 7.83 89.9 68.4
- V46 1 7.88 90.0 68.5
- V50 1 8.45 90.5 69.6
- V41 1 8.85 90.9 70.4
- V64 1 9.12 91.2 70.9
- V78 1 9.27 91.4 71.2
- V73 1 9.92 92.0 72.4
- V29 1 10.51 92.6 73.5
- V23 1 10.74 92.8 73.9
- V53 1 11.67 93.8 75.6
- V21 1 13.12 95.2 78.3
- V28 1 13.24 95.3 78.5
- V79 1 14.03 96.1 79.9
- V22 1 14.72 96.8 81.2
- V40 1 14.82 96.9 81.3
- V1 1 15.49 97.6 82.5
- V52 1 16.58 98.7 84.4
- V80 1 16.88 99.0 84.9
- V51 1 17.25 99.3 85.6
- V39 1 22.86 105.0 95.0
Step: AIC=52.83
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 +
V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 + V90 + V91 +
V92 + V93 + V94 + V95 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V95 1 0.07 82.2 51.0
- V94 1 0.08 82.2 51.0
- V33 1 0.10 82.2 51.0
- V91 1 0.12 82.2 51.1
- V18 1 0.13 82.2 51.1
- V9 1 0.14 82.3 51.1
- V90 1 0.18 82.3 51.2
- V57 1 0.19 82.3 51.2
- V49 1 0.27 82.4 51.4
- V48 1 0.31 82.4 51.5
- V3 1 0.33 82.4 51.5
- V86 1 0.38 82.5 51.6
- V65 1 0.41 82.5 51.7
- V34 1 0.41 82.5 51.7
- V93 1 0.42 82.5 51.7
- V58 1 0.42 82.5 51.7
- V98 1 0.49 82.6 51.8
- V11 1 0.49 82.6 51.9
- V35 1 0.60 82.7 52.1
- V66 1 0.60 82.7 52.1
- V12 1 0.65 82.8 52.2
- V56 1 0.74 82.9 52.4
- V10 1 0.77 82.9 52.4
- V70 1 0.77 82.9 52.4
- V92 1 0.80 82.9 52.5
- V36 1 0.88 83.0 52.7
- V16 1 0.93 83.0 52.8
<none> 82.1 52.8
- V27 1 1.08 83.2 53.1
- V37 1 1.36 83.5 53.7
- V81 1 1.45 83.6 53.8
- V8 1 1.53 83.6 54.0
- V62 1 1.61 83.7 54.2
- V32 1 1.62 83.7 54.2
- V59 1 1.72 83.8 54.4
- V17 1 1.74 83.9 54.4
- V13 1 1.89 84.0 54.8
- V31 1 1.93 84.0 54.8
- V61 1 1.93 84.0 54.8
- V24 1 1.96 84.1 54.9
- V68 1 2.04 84.2 55.1
- V87 1 2.12 84.2 55.2
- V96 1 2.18 84.3 55.3
- V4 1 2.27 84.4 55.5
- V25 1 2.30 84.4 55.6
- V69 1 2.54 84.7 56.1
- V84 1 2.55 84.7 56.1
- V19 1 2.56 84.7 56.1
- V6 1 2.67 84.8 56.3
- V44 1 2.91 85.0 56.8
- V83 1 2.96 85.1 56.9
- V72 1 3.03 85.2 57.1
- V14 1 3.25 85.4 57.5
- V55 1 3.34 85.5 57.7
- V30 1 3.38 85.5 57.8
- V15 1 3.46 85.6 57.9
- V7 1 3.53 85.6 58.1
- V60 1 3.54 85.7 58.1
- V43 1 3.85 86.0 58.7
- V99 1 4.09 86.2 59.2
- V5 1 4.09 86.2 59.2
- V26 1 5.04 87.2 61.1
- V63 1 5.37 87.5 61.7
- V2 1 5.57 87.7 62.1
- V82 1 5.78 87.9 62.5
- V97 1 6.40 88.5 63.8
- V42 1 7.28 89.4 65.5
- V85 1 7.80 89.9 66.4
- V77 1 7.89 90.0 66.6
- V45 1 8.35 90.5 67.5
- V50 1 8.45 90.6 67.7
- V46 1 8.64 90.8 68.0
- V41 1 8.82 90.9 68.4
- V74 1 8.87 91.0 68.5
- V64 1 9.12 91.2 68.9
- V73 1 10.12 92.2 70.8
- V78 1 10.63 92.7 71.8
- V29 1 10.75 92.9 72.0
- V23 1 10.82 92.9 72.1
- V53 1 11.75 93.9 73.8
- V28 1 13.26 95.4 76.6
- V21 1 13.26 95.4 76.6
- V79 1 14.11 96.2 78.1
- V22 1 14.81 96.9 79.4
- V40 1 14.90 97.0 79.5
- V1 1 15.48 97.6 80.5
- V52 1 16.56 98.7 82.4
- V80 1 17.05 99.2 83.3
- V51 1 17.24 99.4 83.6
- V39 1 23.21 105.3 93.6
Step: AIC=50.98
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 +
V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 + V90 + V91 +
V92 + V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V91 1 0.10 82.3 49.2
- V18 1 0.11 82.3 49.2
- V9 1 0.12 82.3 49.2
- V33 1 0.13 82.3 49.2
- V90 1 0.16 82.4 49.3
- V57 1 0.23 82.4 49.5
- V48 1 0.28 82.5 49.6
- V49 1 0.32 82.5 49.7
- V3 1 0.36 82.5 49.7
- V65 1 0.37 82.6 49.8
- V94 1 0.38 82.6 49.8
- V93 1 0.39 82.6 49.8
- V86 1 0.39 82.6 49.8
- V34 1 0.40 82.6 49.8
- V98 1 0.45 82.6 49.9
- V11 1 0.46 82.6 49.9
- V58 1 0.46 82.6 49.9
- V35 1 0.58 82.8 50.2
- V66 1 0.64 82.8 50.3
- V12 1 0.68 82.9 50.4
- V56 1 0.76 83.0 50.6
- V10 1 0.77 83.0 50.6
- V70 1 0.78 83.0 50.6
- V92 1 0.92 83.1 50.9
- V36 1 0.92 83.1 50.9
<none> 82.2 51.0
- V27 1 1.04 83.2 51.1
- V16 1 1.05 83.2 51.2
- V37 1 1.44 83.6 52.0
- V81 1 1.53 83.7 52.2
- V8 1 1.57 83.8 52.2
- V62 1 1.58 83.8 52.3
- V32 1 1.70 83.9 52.5
- V17 1 1.78 84.0 52.7
- V59 1 1.79 84.0 52.7
- V24 1 1.90 84.1 52.9
- V61 1 1.91 84.1 52.9
- V31 1 1.93 84.1 53.0
- V13 1 1.94 84.1 53.0
- V68 1 2.01 84.2 53.1
- V87 1 2.11 84.3 53.3
- V4 1 2.29 84.5 53.7
- V25 1 2.31 84.5 53.7
- V84 1 2.50 84.7 54.1
- V69 1 2.51 84.7 54.2
- V19 1 2.53 84.7 54.2
- V6 1 2.62 84.8 54.4
- V44 1 2.85 85.0 54.8
- V96 1 2.86 85.0 54.9
- V83 1 2.97 85.2 55.1
- V72 1 3.01 85.2 55.2
- V55 1 3.28 85.5 55.7
- V14 1 3.28 85.5 55.7
- V30 1 3.34 85.5 55.8
- V15 1 3.41 85.6 56.0
- V7 1 3.47 85.7 56.1
- V60 1 3.60 85.8 56.4
- V43 1 3.83 86.0 56.8
- V5 1 4.07 86.3 57.3
- V99 1 4.29 86.5 57.7
- V26 1 4.98 87.2 59.1
- V63 1 5.32 87.5 59.8
- V2 1 5.65 87.8 60.4
- V82 1 5.71 87.9 60.5
- V97 1 6.36 88.6 61.8
- V42 1 7.23 89.4 63.5
- V85 1 7.81 90.0 64.6
- V77 1 7.82 90.0 64.6
- V45 1 8.31 90.5 65.5
- V50 1 8.58 90.8 66.1
- V41 1 8.81 91.0 66.5
- V46 1 8.88 91.1 66.6
- V74 1 8.95 91.1 66.8
- V64 1 9.07 91.3 67.0
- V73 1 10.20 92.4 69.1
- V29 1 10.70 92.9 70.0
- V78 1 10.73 92.9 70.1
- V23 1 10.75 92.9 70.1
- V53 1 11.79 94.0 72.0
- V28 1 13.19 95.4 74.6
- V21 1 13.45 95.6 75.0
- V79 1 14.10 96.3 76.2
- V22 1 14.84 97.0 77.5
- V40 1 15.12 97.3 78.0
- V1 1 15.96 98.1 79.5
- V52 1 16.65 98.8 80.7
- V51 1 17.17 99.4 81.6
- V80 1 17.18 99.4 81.6
- V39 1 23.46 105.6 92.2
Step: AIC=49.19
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 +
V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 + V90 + V92 +
V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V90 1 0.08 82.4 47.4
- V33 1 0.11 82.4 47.4
- V18 1 0.12 82.4 47.4
- V57 1 0.17 82.5 47.6
- V9 1 0.18 82.5 47.6
- V49 1 0.24 82.5 47.7
- V86 1 0.31 82.6 47.8
- V3 1 0.37 82.7 48.0
- V94 1 0.38 82.7 48.0
- V58 1 0.38 82.7 48.0
- V48 1 0.42 82.7 48.1
- V11 1 0.42 82.7 48.1
- V65 1 0.44 82.7 48.1
- V34 1 0.48 82.8 48.2
- V35 1 0.50 82.8 48.2
- V98 1 0.53 82.8 48.3
- V93 1 0.66 83.0 48.6
- V66 1 0.67 83.0 48.6
- V56 1 0.72 83.0 48.7
- V12 1 0.72 83.0 48.7
- V10 1 0.79 83.1 48.8
- V36 1 0.84 83.1 48.9
- V70 1 0.85 83.1 49.0
- V27 1 0.96 83.2 49.2
<none> 82.3 49.2
- V16 1 1.05 83.3 49.4
- V37 1 1.39 83.7 50.1
- V62 1 1.51 83.8 50.3
- V32 1 1.68 84.0 50.7
- V59 1 1.69 84.0 50.7
- V81 1 1.72 84.0 50.8
- V17 1 1.78 84.1 50.9
- V24 1 1.80 84.1 50.9
- V8 1 1.82 84.1 51.0
- V31 1 1.90 84.2 51.1
- V13 1 1.95 84.2 51.2
- V61 1 1.98 84.3 51.3
- V68 1 2.35 84.6 52.0
- V25 1 2.40 84.7 52.1
- V19 1 2.50 84.8 52.3
- V4 1 2.53 84.8 52.4
- V84 1 2.68 85.0 52.7
- V44 1 2.75 85.0 52.8
- V83 1 2.89 85.2 53.1
- V69 1 3.04 85.3 53.4
- V72 1 3.11 85.4 53.6
- V6 1 3.11 85.4 53.6
- V14 1 3.23 85.5 53.8
- V55 1 3.30 85.6 53.9
- V30 1 3.32 85.6 54.0
- V15 1 3.34 85.6 54.0
- V87 1 3.35 85.6 54.1
- V96 1 3.39 85.7 54.1
- V60 1 3.59 85.9 54.5
- V43 1 3.73 86.0 54.8
- V7 1 3.98 86.3 55.3
- V99 1 4.27 86.6 55.9
- V5 1 4.59 86.9 56.5
- V26 1 4.88 87.2 57.1
- V82 1 5.69 88.0 58.7
- V2 1 5.92 88.2 59.1
- V92 1 6.04 88.3 59.4
- V63 1 6.06 88.4 59.4
- V42 1 7.14 89.4 61.5
- V97 1 7.36 89.6 61.9
- V85 1 7.72 90.0 62.6
- V77 1 7.89 90.2 62.9
- V45 1 8.22 90.5 63.6
- V41 1 8.71 91.0 64.5
- V46 1 8.81 91.1 64.7
- V50 1 8.85 91.1 64.8
- V74 1 9.70 92.0 66.4
- V73 1 10.51 92.8 67.9
- V64 1 10.54 92.8 67.9
- V29 1 10.60 92.9 68.0
- V78 1 10.66 92.9 68.1
- V23 1 11.14 93.4 69.0
- V53 1 11.70 94.0 70.1
- V21 1 13.50 95.8 73.3
- V28 1 13.84 96.1 73.9
- V79 1 14.05 96.3 74.3
- V40 1 15.04 97.3 76.1
- V22 1 15.19 97.5 76.3
- V1 1 16.33 98.6 78.3
- V52 1 16.68 99.0 78.9
- V80 1 17.48 99.8 80.3
- V51 1 17.58 99.9 80.5
- V39 1 23.38 105.7 90.2
Step: AIC=47.35
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V18 + V19 + V21 + V22 +
V23 + V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 +
V33 + V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 +
V44 + V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 +
V56 + V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 +
V80 + V81 + V82 + V83 + V84 + V85 + V86 + V87 + V92 + V93 +
V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V18 1 0.10 82.5 45.6
- V33 1 0.14 82.5 45.6
- V57 1 0.18 82.5 45.7
- V9 1 0.19 82.6 45.8
- V49 1 0.22 82.6 45.8
- V86 1 0.23 82.6 45.8
- V48 1 0.39 82.8 46.2
- V65 1 0.40 82.8 46.2
- V3 1 0.40 82.8 46.2
- V94 1 0.45 82.8 46.3
- V34 1 0.46 82.8 46.3
- V35 1 0.47 82.8 46.3
- V58 1 0.48 82.9 46.4
- V11 1 0.51 82.9 46.4
- V98 1 0.56 82.9 46.5
- V93 1 0.59 83.0 46.6
- V12 1 0.66 83.0 46.7
- V56 1 0.72 83.1 46.8
- V66 1 0.74 83.1 46.9
- V10 1 0.77 83.1 47.0
- V36 1 0.80 83.2 47.0
- V70 1 0.89 83.3 47.2
- V27 1 0.95 83.3 47.3
<none> 82.4 47.4
- V16 1 1.01 83.4 47.4
- V37 1 1.36 83.7 48.2
- V62 1 1.45 83.8 48.4
- V81 1 1.65 84.0 48.8
- V32 1 1.70 84.1 48.9
- V17 1 1.72 84.1 48.9
- V24 1 1.74 84.1 48.9
- V8 1 1.83 84.2 49.1
- V59 1 1.84 84.2 49.2
- V31 1 1.87 84.2 49.2
- V13 1 1.89 84.3 49.3
- V61 1 1.99 84.4 49.4
- V68 1 2.32 84.7 50.1
- V19 1 2.43 84.8 50.4
- V25 1 2.44 84.8 50.4
- V84 1 2.61 85.0 50.7
- V4 1 2.72 85.1 50.9
- V83 1 2.84 85.2 51.2
- V44 1 2.97 85.3 51.4
- V69 1 3.13 85.5 51.8
- V14 1 3.20 85.6 51.9
- V30 1 3.27 85.6 52.0
- V96 1 3.34 85.7 52.2
- V6 1 3.35 85.7 52.2
- V55 1 3.35 85.7 52.2
- V15 1 3.39 85.8 52.3
- V72 1 3.54 85.9 52.6
- V60 1 3.63 86.0 52.8
- V99 1 4.19 86.6 53.9
- V7 1 4.27 86.6 54.1
- V43 1 4.30 86.7 54.1
- V26 1 4.82 87.2 55.1
- V5 1 4.85 87.2 55.2
- V87 1 5.63 88.0 56.7
- V82 1 5.65 88.0 56.8
- V2 1 5.91 88.3 57.3
- V63 1 6.04 88.4 57.5
- V97 1 7.31 89.7 60.0
- V77 1 7.81 90.2 60.9
- V42 1 7.81 90.2 60.9
- V85 1 7.89 90.3 61.1
- V45 1 8.14 90.5 61.6
- V46 1 8.89 91.3 63.0
- V50 1 8.95 91.3 63.1
- V41 1 9.07 91.4 63.3
- V74 1 9.85 92.2 64.8
- V92 1 10.35 92.7 65.7
- V64 1 10.46 92.8 65.9
- V29 1 10.52 92.9 66.0
- V78 1 10.89 93.3 66.7
- V23 1 11.07 93.4 67.0
- V53 1 11.74 94.1 68.3
- V73 1 11.74 94.1 68.3
- V21 1 13.50 95.9 71.5
- V28 1 13.85 96.2 72.1
- V79 1 14.05 96.4 72.4
- V40 1 15.09 97.5 74.3
- V22 1 15.19 97.6 74.5
- V1 1 16.27 98.6 76.4
- V52 1 16.61 99.0 76.9
- V51 1 17.68 100.0 78.8
- V80 1 17.74 100.1 78.9
- V39 1 23.31 105.7 88.2
Step: AIC=45.55
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10 + V11 +
V12 + V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 +
V24 + V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V33 +
V34 + V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 +
V45 + V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 + V56 +
V57 + V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 + V66 +
V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 + V80 +
V81 + V82 + V83 + V84 + V85 + V86 + V87 + V92 + V93 + V94 +
V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V9 1 0.15 82.6 43.9
- V33 1 0.16 82.6 43.9
- V57 1 0.17 82.6 43.9
- V86 1 0.21 82.7 44.0
- V49 1 0.27 82.7 44.1
- V48 1 0.32 82.8 44.2
- V65 1 0.35 82.8 44.3
- V34 1 0.39 82.8 44.4
- V94 1 0.41 82.9 44.4
- V3 1 0.43 82.9 44.4
- V11 1 0.44 82.9 44.5
- V58 1 0.46 82.9 44.5
- V98 1 0.52 83.0 44.6
- V35 1 0.61 83.1 44.8
- V93 1 0.65 83.1 44.9
- V56 1 0.70 83.2 45.0
- V12 1 0.79 83.3 45.2
- V10 1 0.84 83.3 45.3
- V66 1 0.84 83.3 45.3
- V36 1 0.84 83.3 45.3
- V70 1 0.88 83.3 45.4
<none> 82.5 45.6
- V27 1 1.10 83.6 45.8
- V16 1 1.30 83.8 46.3
- V37 1 1.34 83.8 46.3
- V62 1 1.43 83.9 46.5
- V81 1 1.69 84.1 47.0
- V24 1 1.74 84.2 47.1
- V17 1 1.78 84.2 47.2
- V32 1 1.79 84.3 47.3
- V8 1 1.89 84.4 47.5
- V59 1 1.91 84.4 47.5
- V61 1 1.95 84.4 47.6
- V31 1 2.01 84.5 47.7
- V13 1 2.11 84.6 47.9
- V25 1 2.38 84.8 48.4
- V84 1 2.51 85.0 48.7
- V68 1 2.52 85.0 48.7
- V83 1 2.88 85.3 49.5
- V44 1 2.92 85.4 49.5
- V19 1 3.01 85.5 49.7
- V4 1 3.02 85.5 49.7
- V69 1 3.24 85.7 50.2
- V96 1 3.25 85.7 50.2
- V14 1 3.28 85.7 50.3
- V15 1 3.30 85.8 50.3
- V55 1 3.38 85.8 50.5
- V30 1 3.38 85.8 50.5
- V6 1 3.65 86.1 51.0
- V60 1 3.83 86.3 51.4
- V72 1 3.96 86.4 51.6
- V43 1 4.29 86.7 52.3
- V99 1 4.42 86.9 52.5
- V26 1 4.77 87.2 53.2
- V7 1 4.77 87.2 53.2
- V5 1 5.39 87.8 54.4
- V82 1 5.56 88.0 54.8
- V87 1 5.71 88.2 55.1
- V63 1 5.95 88.4 55.5
- V2 1 5.98 88.4 55.6
- V97 1 7.23 89.7 58.0
- V77 1 7.78 90.2 59.1
- V85 1 7.80 90.3 59.1
- V42 1 8.07 90.5 59.6
- V45 1 8.10 90.6 59.7
- V46 1 8.79 91.3 61.0
- V50 1 8.86 91.3 61.1
- V41 1 9.48 91.9 62.3
- V74 1 9.85 92.3 63.0
- V64 1 10.50 93.0 64.2
- V29 1 10.53 93.0 64.2
- V92 1 10.69 93.1 64.5
- V78 1 10.83 93.3 64.8
- V23 1 11.04 93.5 65.2
- V53 1 11.89 94.4 66.7
- V73 1 12.29 94.7 67.4
- V21 1 13.54 96.0 69.7
- V28 1 13.91 96.4 70.4
- V79 1 13.98 96.4 70.5
- V22 1 15.21 97.7 72.7
- V40 1 15.29 97.7 72.8
- V1 1 16.53 99.0 75.0
- V52 1 16.57 99.0 75.0
- V51 1 17.63 100.1 76.9
- V80 1 17.64 100.1 76.9
- V39 1 23.33 105.8 86.4
Step: AIC=43.86
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V33 + V34 +
V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 +
V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 + V56 + V57 +
V58 + V59 + V60 + V61 + V62 + V63 + V64 + V65 + V66 + V68 +
V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 + V80 + V81 +
V82 + V83 + V84 + V85 + V86 + V87 + V92 + V93 + V94 + V96 +
V97 + V98 + V99
Df Sum of Sq RSS AIC
- V57 1 0.14 82.8 42.2
- V86 1 0.15 82.8 42.2
- V33 1 0.16 82.8 42.2
- V49 1 0.24 82.9 42.4
- V65 1 0.34 83.0 42.6
- V48 1 0.36 83.0 42.6
- V58 1 0.36 83.0 42.6
- V34 1 0.37 83.0 42.6
- V94 1 0.40 83.0 42.7
- V11 1 0.50 83.1 42.9
- V3 1 0.57 83.2 43.0
- V98 1 0.57 83.2 43.0
- V35 1 0.66 83.3 43.2
- V93 1 0.67 83.3 43.3
- V56 1 0.68 83.3 43.3
- V10 1 0.69 83.3 43.3
- V12 1 0.76 83.4 43.4
- V66 1 0.90 83.5 43.7
<none> 82.6 43.9
- V36 1 1.01 83.6 44.0
- V70 1 1.01 83.6 44.0
- V27 1 1.22 83.8 44.4
- V62 1 1.39 84.0 44.7
- V16 1 1.40 84.0 44.8
- V37 1 1.58 84.2 45.1
- V24 1 1.61 84.2 45.2
- V81 1 1.73 84.3 45.4
- V59 1 1.76 84.4 45.5
- V17 1 1.78 84.4 45.5
- V32 1 1.78 84.4 45.5
- V8 1 1.82 84.4 45.6
- V61 1 1.88 84.5 45.7
- V13 1 2.03 84.6 46.0
- V31 1 2.08 84.7 46.1
- V84 1 2.59 85.2 47.2
- V25 1 2.60 85.2 47.2
- V83 1 2.75 85.4 47.5
- V68 1 2.98 85.6 48.0
- V4 1 3.03 85.6 48.1
- V44 1 3.06 85.7 48.1
- V19 1 3.09 85.7 48.2
- V14 1 3.19 85.8 48.4
- V15 1 3.23 85.8 48.5
- V96 1 3.28 85.9 48.6
- V55 1 3.31 85.9 48.6
- V6 1 3.53 86.1 49.1
- V30 1 3.66 86.3 49.3
- V60 1 3.69 86.3 49.4
- V69 1 3.72 86.3 49.4
- V72 1 4.00 86.6 50.0
- V43 1 4.30 86.9 50.6
- V99 1 4.41 87.0 50.8
- V7 1 4.62 87.2 51.2
- V26 1 4.70 87.3 51.4
- V5 1 5.29 87.9 52.5
- V82 1 5.47 88.1 52.9
- V2 1 5.89 88.5 53.7
- V63 1 6.00 88.6 53.9
- V87 1 6.62 89.2 55.1
- V97 1 7.44 90.1 56.7
- V85 1 7.68 90.3 57.1
- V77 1 7.74 90.3 57.3
- V42 1 7.93 90.5 57.6
- V45 1 8.38 91.0 58.5
- V50 1 8.72 91.3 59.1
- V46 1 9.27 91.9 60.1
- V41 1 9.33 91.9 60.3
- V74 1 10.16 92.8 61.8
- V64 1 10.53 93.1 62.5
- V78 1 10.68 93.3 62.8
- V92 1 10.73 93.3 62.9
- V23 1 10.90 93.5 63.2
- V29 1 11.64 94.2 64.5
- V53 1 11.82 94.4 64.9
- V73 1 12.67 95.3 66.4
- V21 1 13.43 96.0 67.8
- V79 1 13.85 96.5 68.5
- V22 1 15.06 97.7 70.7
- V40 1 15.16 97.8 70.8
- V28 1 15.26 97.9 71.0
- V52 1 16.47 99.1 73.1
- V51 1 17.48 100.1 74.9
- V80 1 17.59 100.2 75.1
- V1 1 17.62 100.2 75.1
- V39 1 23.73 106.3 85.3
Step: AIC=42.16
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V33 + V34 +
V35 + V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 +
V46 + V48 + V49 + V50 + V51 + V52 + V53 + V55 + V56 + V58 +
V59 + V60 + V61 + V62 + V63 + V64 + V65 + V66 + V68 + V69 +
V70 + V72 + V73 + V74 + V77 + V78 + V79 + V80 + V81 + V82 +
V83 + V84 + V85 + V86 + V87 + V92 + V93 + V94 + V96 + V97 +
V98 + V99
Df Sum of Sq RSS AIC
- V33 1 0.12 82.9 40.4
- V49 1 0.15 82.9 40.5
- V86 1 0.15 82.9 40.5
- V58 1 0.22 83.0 40.6
- V65 1 0.31 83.1 40.8
- V94 1 0.40 83.2 41.0
- V11 1 0.42 83.2 41.0
- V34 1 0.42 83.2 41.0
- V98 1 0.51 83.3 41.2
- V3 1 0.53 83.3 41.3
- V48 1 0.57 83.3 41.3
- V56 1 0.58 83.3 41.4
- V35 1 0.66 83.4 41.5
- V93 1 0.71 83.5 41.6
- V12 1 0.78 83.5 41.8
- V10 1 0.82 83.6 41.9
<none> 82.8 42.2
- V70 1 1.05 83.8 42.3
- V66 1 1.17 83.9 42.6
- V27 1 1.21 84.0 42.7
- V36 1 1.25 84.0 42.7
- V62 1 1.27 84.0 42.8
- V24 1 1.48 84.2 43.2
- V16 1 1.55 84.3 43.4
- V32 1 1.68 84.4 43.6
- V59 1 1.72 84.5 43.7
- V8 1 1.76 84.5 43.8
- V17 1 1.82 84.6 43.9
- V31 1 1.99 84.7 44.2
- V13 1 2.00 84.7 44.3
- V37 1 2.08 84.8 44.4
- V81 1 2.10 84.9 44.5
- V61 1 2.14 84.9 44.5
- V83 1 2.61 85.4 45.5
- V25 1 2.75 85.5 45.8
- V4 1 2.93 85.7 46.2
- V44 1 2.94 85.7 46.2
- V84 1 3.00 85.8 46.3
- V19 1 3.03 85.8 46.3
- V15 1 3.11 85.9 46.5
- V14 1 3.12 85.9 46.5
- V96 1 3.15 85.9 46.6
- V55 1 3.16 85.9 46.6
- V6 1 3.51 86.3 47.3
- V68 1 3.51 86.3 47.3
- V30 1 3.58 86.3 47.4
- V72 1 4.05 86.8 48.4
- V69 1 4.14 86.9 48.6
- V60 1 4.24 87.0 48.8
- V43 1 4.36 87.1 49.0
- V99 1 4.54 87.3 49.3
- V7 1 4.56 87.3 49.4
- V26 1 4.74 87.5 49.7
- V5 1 5.20 88.0 50.7
- V82 1 5.42 88.2 51.1
- V2 1 6.43 89.2 53.0
- V87 1 6.79 89.5 53.7
- V63 1 7.18 89.9 54.5
- V97 1 7.30 90.1 54.7
- V77 1 7.98 90.7 56.0
- V85 1 8.15 90.9 56.3
- V42 1 8.23 91.0 56.5
- V45 1 8.24 91.0 56.5
- V50 1 8.61 91.4 57.2
- V46 1 9.33 92.1 58.5
- V41 1 9.33 92.1 58.5
- V74 1 10.04 92.8 59.9
- V78 1 10.66 93.4 61.0
- V23 1 10.83 93.6 61.3
- V64 1 11.01 93.8 61.6
- V92 1 11.42 94.2 62.4
- V29 1 11.61 94.4 62.7
- V53 1 11.85 94.6 63.2
- V73 1 12.54 95.3 64.4
- V21 1 13.34 96.1 65.9
- V79 1 13.75 96.5 66.6
- V22 1 14.92 97.7 68.7
- V40 1 15.02 97.8 68.8
- V28 1 15.38 98.1 69.5
- V52 1 16.80 99.6 72.0
- V51 1 17.60 100.4 73.3
- V80 1 18.25 101.0 74.4
- V1 1 19.85 102.6 77.1
- V39 1 23.74 106.5 83.5
Step: AIC=40.42
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 +
V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 +
V48 + V49 + V50 + V51 + V52 + V53 + V55 + V56 + V58 + V59 +
V60 + V61 + V62 + V63 + V64 + V65 + V66 + V68 + V69 + V70 +
V72 + V73 + V74 + V77 + V78 + V79 + V80 + V81 + V82 + V83 +
V84 + V85 + V86 + V87 + V92 + V93 + V94 + V96 + V97 + V98 +
V99
Df Sum of Sq RSS AIC
- V49 1 0.13 83.0 38.7
- V86 1 0.16 83.0 38.7
- V58 1 0.18 83.1 38.8
- V65 1 0.35 83.2 39.1
- V11 1 0.35 83.2 39.1
- V94 1 0.43 83.3 39.3
- V98 1 0.45 83.3 39.3
- V3 1 0.49 83.4 39.4
- V48 1 0.55 83.4 39.6
- V35 1 0.62 83.5 39.7
- V93 1 0.65 83.5 39.8
- V56 1 0.65 83.5 39.8
- V12 1 0.81 83.7 40.1
<none> 82.9 40.4
- V10 1 1.00 83.9 40.5
- V70 1 1.03 83.9 40.6
- V66 1 1.12 84.0 40.7
- V27 1 1.19 84.1 40.9
- V36 1 1.29 84.2 41.1
- V62 1 1.30 84.2 41.1
- V34 1 1.44 84.3 41.4
- V24 1 1.55 84.4 41.6
- V16 1 1.58 84.5 41.7
- V59 1 1.66 84.5 41.8
- V8 1 1.67 84.5 41.9
- V13 1 1.95 84.8 42.4
- V17 1 1.97 84.8 42.5
- V61 1 2.06 84.9 42.6
- V37 1 2.08 85.0 42.7
- V81 1 2.14 85.0 42.8
- V31 1 2.37 85.3 43.3
- V83 1 2.64 85.5 43.8
- V25 1 2.66 85.5 43.9
- V4 1 2.85 85.7 44.2
- V19 1 2.92 85.8 44.4
- V84 1 2.94 85.8 44.4
- V14 1 3.04 85.9 44.6
- V15 1 3.05 85.9 44.6
- V96 1 3.05 85.9 44.6
- V44 1 3.10 86.0 44.7
- V55 1 3.25 86.1 45.0
- V6 1 3.45 86.3 45.4
- V68 1 3.58 86.5 45.7
- V30 1 3.71 86.6 46.0
- V32 1 3.96 86.8 46.5
- V60 1 4.17 87.0 46.9
- V69 1 4.23 87.1 47.0
- V43 1 4.44 87.3 47.4
- V7 1 4.45 87.3 47.4
- V72 1 4.47 87.3 47.5
- V26 1 4.68 87.6 47.9
- V99 1 4.85 87.7 48.2
- V5 1 5.11 88.0 48.7
- V82 1 5.40 88.3 49.3
- V2 1 6.69 89.6 51.8
- V87 1 6.75 89.6 51.9
- V63 1 7.06 89.9 52.5
- V97 1 7.18 90.1 52.7
- V85 1 8.07 90.9 54.4
- V77 1 8.24 91.1 54.7
- V42 1 8.28 91.2 54.8
- V50 1 8.48 91.4 55.2
- V45 1 8.65 91.5 55.5
- V41 1 9.40 92.3 56.9
- V46 1 9.45 92.3 57.0
- V78 1 10.54 93.4 59.0
- V23 1 10.78 93.7 59.4
- V74 1 10.85 93.7 59.6
- V64 1 11.01 93.9 59.9
- V92 1 11.31 94.2 60.4
- V29 1 11.75 94.6 61.2
- V53 1 11.90 94.8 61.5
- V21 1 13.24 96.1 63.9
- V73 1 13.43 96.3 64.2
- V79 1 13.62 96.5 64.6
- V22 1 14.82 97.7 66.7
- V40 1 15.18 98.1 67.3
- V28 1 15.26 98.1 67.5
- V52 1 16.79 99.7 70.2
- V51 1 17.49 100.4 71.3
- V80 1 18.27 101.1 72.7
- V1 1 20.27 103.1 76.0
- V39 1 24.07 107.0 82.3
Step: AIC=38.68
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 +
V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 +
V48 + V50 + V51 + V52 + V53 + V55 + V56 + V58 + V59 + V60 +
V61 + V62 + V63 + V64 + V65 + V66 + V68 + V69 + V70 + V72 +
V73 + V74 + V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 +
V85 + V86 + V87 + V92 + V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V86 1 0.11 83.1 36.9
- V58 1 0.17 83.2 37.0
- V11 1 0.33 83.3 37.4
- V65 1 0.38 83.4 37.5
- V94 1 0.43 83.4 37.6
- V3 1 0.53 83.5 37.8
- V98 1 0.60 83.6 37.9
- V93 1 0.61 83.6 37.9
- V35 1 0.65 83.7 38.0
- V12 1 0.78 83.8 38.3
- V56 1 0.81 83.8 38.3
<none> 83.0 38.7
- V10 1 1.03 84.0 38.8
- V66 1 1.13 84.1 39.0
- V27 1 1.24 84.2 39.2
- V70 1 1.27 84.3 39.3
- V36 1 1.28 84.3 39.3
- V62 1 1.29 84.3 39.3
- V34 1 1.37 84.4 39.5
- V24 1 1.45 84.5 39.7
- V16 1 1.52 84.5 39.8
- V59 1 1.67 84.7 40.1
- V8 1 1.71 84.7 40.2
- V13 1 1.87 84.9 40.5
- V17 1 1.94 84.9 40.7
- V37 1 2.15 85.2 41.1
- V61 1 2.17 85.2 41.1
- V81 1 2.36 85.4 41.5
- V83 1 2.54 85.5 41.9
- V31 1 2.59 85.6 42.0
- V19 1 2.80 85.8 42.4
- V4 1 2.90 85.9 42.6
- V14 1 2.94 85.9 42.7
- V84 1 2.98 86.0 42.8
- V15 1 2.98 86.0 42.8
- V25 1 3.09 86.1 43.0
- V96 1 3.23 86.2 43.2
- V44 1 3.23 86.2 43.3
- V48 1 3.26 86.3 43.3
- V55 1 3.52 86.5 43.8
- V6 1 3.59 86.6 44.0
- V32 1 4.04 87.0 44.8
- V68 1 4.07 87.1 44.9
- V60 1 4.13 87.1 45.0
- V72 1 4.35 87.4 45.5
- V30 1 4.36 87.4 45.5
- V43 1 4.42 87.4 45.6
- V7 1 4.61 87.6 46.0
- V69 1 4.71 87.7 46.2
- V99 1 4.73 87.7 46.2
- V26 1 4.91 87.9 46.6
- V5 1 5.23 88.2 47.2
- V82 1 5.29 88.3 47.3
- V2 1 6.58 89.6 49.8
- V63 1 7.37 90.4 51.3
- V87 1 7.41 90.4 51.4
- V85 1 7.97 91.0 52.5
- V97 1 7.98 91.0 52.5
- V77 1 8.13 91.1 52.8
- V42 1 8.18 91.2 52.9
- V45 1 9.12 92.1 54.6
- V41 1 9.28 92.3 54.9
- V46 1 10.32 93.3 56.8
- V78 1 10.58 93.6 57.3
- V23 1 10.67 93.7 57.5
- V74 1 10.73 93.7 57.6
- V92 1 11.21 94.2 58.5
- V64 1 11.21 94.2 58.5
- V53 1 12.02 95.0 59.9
- V21 1 13.13 96.1 61.9
- V29 1 13.24 96.2 62.1
- V73 1 13.33 96.3 62.3
- V79 1 13.60 96.6 62.8
- V50 1 13.84 96.8 63.2
- V22 1 14.74 97.7 64.8
- V40 1 15.07 98.1 65.4
- V28 1 15.78 98.8 66.6
- V52 1 16.70 99.7 68.2
- V51 1 17.88 100.9 70.2
- V80 1 18.30 101.3 71.0
- V1 1 20.17 103.2 74.1
- V39 1 24.11 107.1 80.5
Step: AIC=36.92
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 +
V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 +
V48 + V50 + V51 + V52 + V53 + V55 + V56 + V58 + V59 + V60 +
V61 + V62 + V63 + V64 + V65 + V66 + V68 + V69 + V70 + V72 +
V73 + V74 + V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 +
V85 + V87 + V92 + V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V58 1 0.2 83.3 35.3
- V65 1 0.4 83.5 35.7
- V11 1 0.4 83.5 35.7
- V94 1 0.5 83.6 36.0
- V93 1 0.5 83.7 36.0
- V3 1 0.6 83.7 36.1
- V98 1 0.6 83.7 36.2
- V35 1 0.6 83.7 36.2
- V12 1 0.7 83.8 36.4
- V56 1 0.9 84.0 36.8
<none> 83.1 36.9
- V10 1 1.1 84.2 37.1
- V66 1 1.1 84.2 37.2
- V36 1 1.2 84.3 37.4
- V70 1 1.3 84.5 37.7
- V27 1 1.4 84.5 37.7
- V34 1 1.4 84.5 37.8
- V62 1 1.5 84.6 37.9
- V24 1 1.6 84.7 38.1
- V16 1 1.7 84.8 38.3
- V8 1 1.7 84.8 38.4
- V59 1 1.8 84.9 38.6
- V13 1 1.8 84.9 38.6
- V17 1 1.9 85.0 38.8
- V37 1 2.1 85.2 39.1
- V61 1 2.1 85.3 39.3
- V81 1 2.3 85.4 39.6
- V31 1 2.6 85.7 40.2
- V19 1 2.8 86.0 40.7
- V15 1 2.9 86.0 40.8
- V14 1 2.9 86.0 40.8
- V25 1 3.0 86.1 41.0
- V83 1 3.1 86.2 41.1
- V84 1 3.1 86.3 41.3
- V4 1 3.2 86.4 41.5
- V44 1 3.2 86.4 41.5
- V48 1 3.4 86.5 41.8
- V96 1 3.7 86.8 42.4
- V55 1 3.8 86.9 42.5
- V6 1 3.8 86.9 42.6
- V32 1 4.1 87.2 43.1
- V68 1 4.1 87.2 43.2
- V60 1 4.2 87.3 43.4
- V30 1 4.3 87.4 43.5
- V72 1 4.4 87.6 43.9
- V43 1 4.5 87.6 44.0
- V69 1 4.8 87.9 44.5
- V26 1 4.8 87.9 44.6
- V7 1 4.8 88.0 44.6
- V99 1 4.9 88.0 44.7
- V5 1 5.6 88.7 46.0
- V82 1 6.2 89.3 47.3
- V2 1 6.6 89.8 48.2
- V63 1 7.3 90.4 49.4
- V77 1 8.0 91.2 50.8
- V42 1 8.3 91.4 51.3
- V97 1 8.5 91.6 51.7
- V45 1 9.2 92.3 52.9
- V41 1 9.2 92.3 53.0
- V78 1 10.5 93.6 55.3
- V23 1 10.6 93.8 55.6
- V74 1 10.7 93.8 55.7
- V46 1 10.8 93.9 55.9
- V92 1 11.1 94.2 56.5
- V64 1 11.2 94.3 56.6
- V53 1 12.3 95.4 58.7
- V21 1 13.0 96.2 60.0
- V29 1 13.1 96.2 60.1
- V79 1 13.8 96.9 61.3
- V73 1 13.8 96.9 61.3
- V50 1 14.2 97.3 62.0
- V22 1 14.6 97.8 62.8
- V40 1 15.0 98.1 63.4
- V28 1 16.0 99.1 65.2
- V52 1 16.6 99.7 66.2
- V51 1 18.3 101.4 69.1
- V80 1 18.8 101.9 70.0
- V1 1 20.2 103.3 72.3
- V85 1 20.2 103.3 72.4
- V39 1 24.1 107.2 78.6
- V87 1 48.0 131.1 113.3
Step: AIC=35.28
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V11 + V12 +
V13 + V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 +
V25 + V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 +
V36 + V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 +
V48 + V50 + V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 +
V62 + V63 + V64 + V65 + V66 + V68 + V69 + V70 + V72 + V73 +
V74 + V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 +
V87 + V92 + V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V11 1 0.3 83.6 33.9
- V65 1 0.3 83.6 34.0
- V98 1 0.5 83.8 34.2
- V94 1 0.5 83.8 34.3
- V93 1 0.6 83.9 34.4
- V35 1 0.6 83.9 34.5
- V3 1 0.7 84.0 34.8
- V12 1 0.8 84.1 34.9
<none> 83.3 35.3
- V10 1 1.2 84.5 35.7
- V56 1 1.2 84.5 35.8
- V36 1 1.3 84.6 35.9
- V66 1 1.3 84.6 35.9
- V70 1 1.3 84.6 35.9
- V34 1 1.4 84.7 36.2
- V27 1 1.5 84.8 36.4
- V24 1 1.6 84.9 36.5
- V16 1 1.8 85.0 36.9
- V13 1 1.8 85.1 36.9
- V17 1 1.9 85.1 37.1
- V8 1 1.9 85.2 37.1
- V62 1 1.9 85.2 37.3
- V61 1 2.1 85.4 37.5
- V37 1 2.5 85.8 38.3
- V31 1 2.6 85.9 38.5
- V81 1 2.6 85.9 38.5
- V25 1 2.8 86.1 39.0
- V15 1 2.8 86.1 39.0
- V14 1 2.9 86.1 39.1
- V59 1 2.9 86.2 39.2
- V84 1 3.0 86.3 39.3
- V19 1 3.0 86.3 39.4
- V44 1 3.3 86.6 40.0
- V48 1 3.4 86.7 40.1
- V4 1 3.4 86.7 40.2
- V96 1 3.5 86.8 40.4
- V83 1 3.7 87.0 40.8
- V55 1 3.7 87.0 40.8
- V6 1 3.8 87.1 41.0
- V30 1 4.1 87.4 41.6
- V32 1 4.1 87.4 41.6
- V60 1 4.2 87.5 41.8
- V68 1 4.3 87.6 41.9
- V43 1 4.6 87.9 42.6
- V26 1 4.7 88.0 42.6
- V7 1 4.9 88.2 43.1
- V72 1 4.9 88.2 43.2
- V69 1 4.9 88.2 43.2
- V99 1 5.3 88.6 44.0
- V5 1 5.7 89.0 44.6
- V2 1 6.6 89.8 46.3
- V82 1 6.6 89.9 46.4
- V63 1 7.1 90.4 47.4
- V77 1 7.9 91.2 48.9
- V42 1 8.5 91.8 50.0
- V97 1 8.8 92.1 50.5
- V41 1 9.2 92.5 51.3
- V45 1 10.0 93.3 52.9
- V23 1 10.5 93.8 53.7
- V78 1 10.6 93.9 53.9
- V64 1 11.2 94.5 55.0
- V92 1 11.3 94.6 55.1
- V74 1 11.5 94.8 55.5
- V53 1 12.2 95.5 56.9
- V46 1 12.3 95.6 57.0
- V29 1 13.0 96.3 58.2
- V21 1 13.4 96.7 58.9
- V73 1 14.1 97.4 60.2
- V50 1 14.2 97.5 60.3
- V79 1 14.2 97.5 60.3
- V22 1 14.7 98.0 61.2
- V40 1 14.8 98.1 61.5
- V28 1 15.8 99.1 63.2
- V52 1 16.8 100.1 64.9
- V51 1 18.7 102.0 68.2
- V85 1 20.1 103.4 70.4
- V1 1 20.7 104.0 71.5
- V80 1 21.3 104.6 72.4
- V39 1 24.4 107.7 77.4
- V87 1 53.0 136.3 118.0
Step: AIC=33.91
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 + V36 +
V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 +
V50 + V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 +
V63 + V64 + V65 + V66 + V68 + V69 + V70 + V72 + V73 + V74 +
V77 + V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V87 +
V92 + V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V65 1 0.2 83.8 32.4
- V93 1 0.4 84.0 32.8
- V98 1 0.5 84.1 32.9
- V94 1 0.6 84.2 33.1
- V35 1 0.7 84.3 33.4
- V3 1 0.9 84.5 33.7
<none> 83.6 33.9
- V36 1 1.1 84.7 34.2
- V34 1 1.2 84.8 34.4
- V70 1 1.3 84.9 34.5
- V27 1 1.4 85.0 34.8
- V56 1 1.5 85.1 35.0
- V16 1 1.6 85.2 35.1
- V66 1 1.8 85.4 35.5
- V17 1 1.9 85.5 35.7
- V62 1 1.9 85.5 35.8
- V24 1 2.0 85.6 35.9
- V61 1 2.1 85.7 36.1
- V8 1 2.1 85.7 36.3
- V37 1 2.3 85.9 36.6
- V31 1 2.4 86.0 36.8
- V25 1 2.5 86.1 37.1
- V81 1 2.7 86.3 37.4
- V84 1 2.7 86.3 37.4
- V19 1 2.9 86.5 37.8
- V48 1 3.2 86.8 38.5
- V44 1 3.3 86.9 38.5
- V96 1 3.4 87.0 38.7
- V59 1 3.7 87.3 39.4
- V32 1 3.9 87.5 39.7
- V4 1 3.9 87.5 39.8
- V83 1 4.0 87.6 40.0
- V30 1 4.1 87.7 40.1
- V10 1 4.1 87.7 40.2
- V15 1 4.3 87.9 40.6
- V13 1 4.3 87.9 40.6
- V55 1 4.3 87.9 40.6
- V6 1 4.4 88.0 40.7
- V43 1 4.4 88.0 40.8
- V26 1 4.5 88.1 40.9
- V60 1 4.9 88.5 41.7
- V14 1 4.9 88.5 41.7
- V99 1 5.1 88.7 42.1
- V72 1 5.2 88.8 42.2
- V68 1 5.2 88.8 42.3
- V69 1 5.3 88.9 42.5
- V7 1 5.6 89.2 43.1
- V12 1 5.7 89.3 43.3
- V82 1 6.5 90.1 44.8
- V5 1 6.6 90.2 45.0
- V2 1 6.6 90.2 45.0
- V63 1 7.0 90.6 45.8
- V77 1 8.2 91.8 48.0
- V42 1 8.3 91.9 48.2
- V97 1 8.5 92.1 48.6
- V41 1 9.0 92.6 49.4
- V45 1 10.2 93.8 51.8
- V78 1 10.5 94.1 52.2
- V64 1 10.9 94.5 53.1
- V92 1 11.2 94.8 53.5
- V74 1 11.4 95.0 53.9
- V23 1 11.4 95.0 53.9
- V46 1 12.3 95.9 55.5
- V29 1 12.8 96.4 56.3
- V53 1 13.9 97.5 58.4
- V73 1 14.0 97.6 58.5
- V21 1 14.1 97.7 58.8
- V50 1 14.2 97.8 58.9
- V79 1 14.5 98.1 59.4
- V40 1 14.5 98.1 59.5
- V28 1 15.5 99.1 61.2
- V22 1 15.7 99.3 61.6
- V52 1 18.3 101.9 66.0
- V51 1 19.3 102.9 67.7
- V85 1 19.8 103.4 68.4
- V1 1 21.6 105.2 71.4
- V80 1 21.8 105.4 71.8
- V39 1 24.1 107.7 75.4
- V87 1 53.0 136.6 116.3
Step: AIC=32.41
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 + V36 +
V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 +
V50 + V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 +
V63 + V64 + V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 +
V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V87 + V92 +
V93 + V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V93 1 0.3 84.1 31.0
- V98 1 0.5 84.3 31.4
- V94 1 0.7 84.5 31.8
- V35 1 0.7 84.5 31.8
<none> 83.8 32.4
- V3 1 1.0 84.9 32.5
- V36 1 1.1 84.9 32.6
- V70 1 1.1 85.0 32.7
- V34 1 1.2 85.0 32.8
- V16 1 1.4 85.3 33.3
- V27 1 1.4 85.3 33.4
- V17 1 1.8 85.6 34.1
- V61 1 2.0 85.9 34.5
- V8 1 2.0 85.9 34.6
- V62 1 2.1 85.9 34.6
- V56 1 2.3 86.1 35.0
- V37 1 2.3 86.1 35.0
- V25 1 2.3 86.1 35.1
- V31 1 2.3 86.2 35.1
- V24 1 2.4 86.2 35.2
- V81 1 2.5 86.3 35.4
- V84 1 2.5 86.3 35.4
- V19 1 2.8 86.6 36.0
- V48 1 3.0 86.8 36.5
- V96 1 3.3 87.1 37.0
- V44 1 3.4 87.3 37.3
- V32 1 3.7 87.5 37.8
- V59 1 4.1 87.9 38.6
- V13 1 4.1 87.9 38.6
- V30 1 4.2 88.0 38.7
- V4 1 4.2 88.0 38.8
- V15 1 4.4 88.2 39.2
- V6 1 4.4 88.3 39.2
- V26 1 4.4 88.3 39.2
- V43 1 4.5 88.3 39.3
- V14 1 4.7 88.5 39.8
- V10 1 4.8 88.6 39.9
- V99 1 4.9 88.7 40.1
- V83 1 4.9 88.8 40.2
- V60 1 5.1 89.0 40.6
- V69 1 5.4 89.2 41.1
- V12 1 5.5 89.3 41.3
- V7 1 5.6 89.4 41.5
- V55 1 6.0 89.8 42.2
- V68 1 6.1 89.9 42.4
- V2 1 6.4 90.2 43.0
- V72 1 6.5 90.3 43.2
- V5 1 6.8 90.6 43.8
- V82 1 7.3 91.1 44.7
- V63 1 8.1 91.9 46.3
- V42 1 8.2 92.0 46.4
- V77 1 8.2 92.0 46.4
- V97 1 8.3 92.1 46.6
- V41 1 8.8 92.7 47.6
- V66 1 9.1 92.9 48.1
- V45 1 10.7 94.5 51.0
- V78 1 10.7 94.6 51.1
- V92 1 11.1 94.9 51.7
- V23 1 11.8 95.6 53.1
- V46 1 12.3 96.2 54.0
- V74 1 13.1 96.9 55.4
- V29 1 13.6 97.5 56.3
- V50 1 14.0 97.8 56.9
- V21 1 14.0 97.9 57.1
- V40 1 14.6 98.4 58.0
- V79 1 14.7 98.6 58.3
- V22 1 16.0 99.8 60.4
- V73 1 16.8 100.6 61.8
- V28 1 17.6 101.4 63.1
- V53 1 17.8 101.7 63.6
- V51 1 20.1 104.0 67.4
- V85 1 20.9 104.8 68.7
- V52 1 21.5 105.3 69.7
- V1 1 21.6 105.5 69.9
- V80 1 22.0 105.8 70.5
- V39 1 24.2 108.0 74.0
- V64 1 28.6 112.4 80.9
- V87 1 55.3 139.1 117.5
Step: AIC=31.04
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 + V36 +
V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 +
V50 + V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 +
V63 + V64 + V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 +
V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V87 + V92 +
V94 + V96 + V97 + V98 + V99
Df Sum of Sq RSS AIC
- V98 1 0.4 84.5 29.8
- V35 1 0.7 84.8 30.4
- V36 1 1.0 85.1 31.0
<none> 84.1 31.0
- V34 1 1.1 85.2 31.2
- V70 1 1.1 85.2 31.3
- V16 1 1.2 85.3 31.4
- V3 1 1.2 85.4 31.5
- V27 1 1.3 85.4 31.6
- V17 1 1.6 85.8 32.3
- V8 1 1.9 86.0 32.8
- V56 1 2.1 86.3 33.4
- V25 1 2.2 86.3 33.4
- V62 1 2.2 86.3 33.4
- V31 1 2.2 86.3 33.5
- V24 1 2.3 86.4 33.7
- V37 1 2.3 86.4 33.7
- V61 1 2.4 86.5 33.9
- V84 1 2.5 86.7 34.1
- V81 1 2.8 87.0 34.7
- V19 1 2.9 87.1 34.9
- V44 1 3.2 87.4 35.5
- V48 1 3.3 87.5 35.7
- V32 1 3.5 87.6 36.0
- V30 1 4.0 88.2 37.1
- V26 1 4.2 88.3 37.4
- V13 1 4.4 88.5 37.7
- V43 1 4.4 88.5 37.8
- V4 1 4.4 88.6 37.9
- V6 1 4.5 88.7 38.0
- V10 1 4.7 88.8 38.3
- V83 1 4.7 88.9 38.4
- V59 1 4.9 89.0 38.8
- V14 1 5.2 89.4 39.4
- V15 1 5.3 89.5 39.6
- V96 1 5.4 89.5 39.7
- V7 1 5.4 89.6 39.8
- V12 1 5.6 89.8 40.1
- V69 1 5.6 89.8 40.2
- V55 1 5.8 89.9 40.4
- V99 1 5.8 90.0 40.6
- V2 1 6.1 90.3 41.2
- V68 1 6.4 90.5 41.6
- V60 1 6.6 90.7 41.9
- V72 1 6.7 90.9 42.3
- V5 1 7.0 91.1 42.7
- V82 1 7.0 91.1 42.8
- V63 1 8.1 92.2 44.8
- V77 1 8.1 92.3 44.9
- V42 1 8.2 92.4 45.1
- V97 1 8.5 92.6 45.6
- V41 1 9.0 93.1 46.5
- V66 1 9.5 93.7 47.5
- V45 1 10.4 94.5 49.0
- V78 1 10.6 94.8 49.5
- V23 1 11.7 95.8 51.4
- V46 1 12.4 96.5 52.6
- V94 1 13.0 97.2 53.8
- V29 1 13.6 97.7 54.7
- V74 1 13.7 97.9 55.0
- V50 1 13.9 98.0 55.3
- V21 1 14.0 98.2 55.6
- V40 1 15.0 99.1 57.2
- V79 1 15.1 99.3 57.5
- V22 1 15.9 100.0 58.8
- V73 1 17.0 101.1 60.6
- V28 1 17.3 101.4 61.1
- V53 1 17.5 101.7 61.6
- V51 1 19.8 104.0 65.5
- V85 1 20.8 105.0 67.0
- V52 1 21.2 105.3 67.7
- V1 1 21.4 105.5 67.9
- V80 1 23.2 107.3 70.9
- V39 1 25.0 109.2 73.8
- V92 1 28.2 112.3 78.7
- V64 1 29.0 113.2 80.0
- V87 1 55.3 139.4 115.9
Step: AIC=29.77
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V35 + V36 +
V37 + V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 +
V50 + V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 +
V63 + V64 + V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 +
V78 + V79 + V80 + V81 + V82 + V83 + V84 + V85 + V87 + V92 +
V94 + V96 + V97 + V99
Df Sum of Sq RSS AIC
- V35 1 0.8 85.3 29.4
<none> 84.5 29.8
- V34 1 1.1 85.6 30.0
- V36 1 1.1 85.6 30.1
- V70 1 1.2 85.7 30.1
- V16 1 1.2 85.7 30.2
- V3 1 1.3 85.8 30.4
- V27 1 1.5 86.0 30.7
- V17 1 1.7 86.2 31.3
- V8 1 1.9 86.4 31.5
- V24 1 2.1 86.6 31.9
- V62 1 2.1 86.6 32.0
- V84 1 2.2 86.7 32.2
- V56 1 2.3 86.8 32.4
- V37 1 2.5 87.0 32.7
- V25 1 2.5 87.0 32.8
- V81 1 2.5 87.0 32.9
- V31 1 2.7 87.2 33.2
- V61 1 2.7 87.2 33.2
- V19 1 2.9 87.5 33.7
- V48 1 3.2 87.7 34.1
- V44 1 3.3 87.8 34.4
- V26 1 4.2 88.7 36.2
- V43 1 4.3 88.8 36.3
- V32 1 4.3 88.8 36.3
- V10 1 4.4 88.9 36.6
- V30 1 4.4 89.0 36.6
- V6 1 4.5 89.0 36.6
- V13 1 4.6 89.1 36.8
- V4 1 4.7 89.2 37.1
- V96 1 5.2 89.8 38.1
- V7 1 5.3 89.8 38.1
- V14 1 5.4 89.9 38.4
- V15 1 5.4 90.0 38.5
- V69 1 5.5 90.0 38.6
- V83 1 5.6 90.1 38.8
- V12 1 6.0 90.5 39.6
- V59 1 6.1 90.6 39.8
- V55 1 6.1 90.6 39.8
- V68 1 6.2 90.8 40.0
- V72 1 6.5 91.0 40.4
- V2 1 6.5 91.0 40.5
- V5 1 7.2 91.7 41.8
- V77 1 7.9 92.4 43.1
- V82 1 8.0 92.5 43.4
- V42 1 8.2 92.7 43.7
- V60 1 8.4 92.9 44.1
- V63 1 8.6 93.1 44.4
- V41 1 9.1 93.7 45.4
- V66 1 9.7 94.2 46.4
- V78 1 10.3 94.8 47.6
- V45 1 11.3 95.8 49.4
- V23 1 11.3 95.8 49.4
- V94 1 12.7 97.2 51.8
- V46 1 13.2 97.7 52.7
- V74 1 13.4 98.0 53.2
- V21 1 13.9 98.4 54.0
- V29 1 14.0 98.5 54.1
- V50 1 14.1 98.6 54.3
- V79 1 14.9 99.4 55.7
- V40 1 15.5 100.0 56.7
- V22 1 15.6 100.1 56.8
- V97 1 15.7 100.2 57.1
- V73 1 16.6 101.1 58.6
- V28 1 17.7 102.2 60.5
- V53 1 19.3 103.8 63.2
- V85 1 20.5 105.0 65.1
- V51 1 21.2 105.7 66.3
- V1 1 22.5 107.0 68.4
- V80 1 23.0 107.5 69.2
- V52 1 23.5 108.0 70.0
- V39 1 26.3 110.8 74.3
- V92 1 27.9 112.4 76.8
- V64 1 29.9 114.4 79.8
- V99 1 32.7 117.2 84.1
- V87 1 55.0 139.5 113.9
Step: AIC=29.36
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V36 + V37 +
V39 + V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 + V50 +
V51 + V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 + V63 +
V64 + V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 +
V79 + V80 + V81 + V82 + V83 + V84 + V85 + V87 + V92 + V94 +
V96 + V97 + V99
Df Sum of Sq RSS AIC
- V36 1 0.4 85.7 28.2
- V16 1 0.9 86.2 29.2
<none> 85.3 29.4
- V70 1 1.2 86.5 29.7
- V3 1 1.3 86.6 30.0
- V17 1 1.5 86.8 30.3
- V27 1 1.6 86.9 30.6
- V8 1 2.1 87.4 31.6
- V31 1 2.1 87.4 31.6
- V24 1 2.2 87.5 31.8
- V37 1 2.2 87.5 31.8
- V81 1 2.4 87.7 32.2
- V25 1 2.5 87.8 32.4
- V84 1 2.6 87.9 32.5
- V62 1 2.7 88.0 32.7
- V44 1 2.9 88.2 33.1
- V56 1 3.1 88.4 33.6
- V19 1 3.3 88.6 34.0
- V61 1 3.4 88.7 34.0
- V48 1 3.5 88.8 34.3
- V30 1 3.7 89.0 34.7
- V43 1 3.8 89.1 34.9
- V10 1 3.8 89.1 34.9
- V26 1 4.3 89.6 35.7
- V13 1 4.4 89.7 36.0
- V32 1 4.5 89.8 36.3
- V14 1 5.1 90.4 37.4
- V4 1 5.1 90.4 37.4
- V69 1 5.2 90.5 37.6
- V15 1 5.2 90.5 37.6
- V6 1 5.3 90.6 37.7
- V83 1 5.4 90.7 37.9
- V12 1 5.8 91.1 38.7
- V68 1 5.9 91.2 38.9
- V7 1 5.9 91.2 38.9
- V72 1 6.6 91.8 40.1
- V2 1 6.9 92.2 40.7
- V59 1 7.0 92.3 41.0
- V96 1 7.2 92.4 41.2
- V55 1 7.3 92.6 41.6
- V42 1 7.6 92.9 42.1
- V77 1 7.7 93.0 42.3
- V5 1 7.9 93.2 42.5
- V82 1 8.2 93.4 43.1
- V41 1 8.9 94.2 44.4
- V63 1 9.0 94.3 44.6
- V60 1 9.2 94.5 45.0
- V66 1 10.1 95.4 46.5
- V78 1 10.5 95.8 47.4
- V45 1 10.8 96.1 47.8
- V23 1 12.1 97.4 50.2
- V94 1 12.9 98.2 51.6
- V46 1 13.2 98.5 52.1
- V29 1 13.3 98.6 52.3
- V34 1 13.6 98.9 52.9
- V74 1 14.4 99.7 54.3
- V50 1 14.9 100.2 55.0
- V21 1 15.2 100.5 55.6
- V79 1 15.3 100.6 55.8
- V40 1 16.0 101.3 56.9
- V22 1 16.8 102.1 58.3
- V73 1 17.6 102.9 59.6
- V28 1 18.3 103.6 60.8
- V97 1 19.1 104.4 62.1
- V53 1 20.5 105.8 64.4
- V51 1 22.1 107.4 67.0
- V85 1 22.2 107.5 67.2
- V1 1 22.4 107.7 67.5
- V80 1 23.1 108.4 68.6
- V52 1 24.4 109.7 70.7
- V39 1 27.1 112.4 74.9
- V92 1 27.2 112.5 75.0
- V64 1 32.3 117.6 82.6
- V99 1 34.5 119.8 85.7
- V87 1 56.1 141.4 114.3
Step: AIC=28.23
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V37 + V39 +
V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 + V50 + V51 +
V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 + V63 + V64 +
V66 + V68 + V69 + V70 + V72 + V73 + V74 + V77 + V78 + V79 +
V80 + V81 + V82 + V83 + V84 + V85 + V87 + V92 + V94 + V96 +
V97 + V99
Df Sum of Sq RSS AIC
- V70 1 0.9 86.6 27.9
- V16 1 1.0 86.7 28.2
<none> 85.7 28.2
- V27 1 1.4 87.1 28.9
- V3 1 1.4 87.1 29.0
- V17 1 1.7 87.4 29.5
- V31 1 1.8 87.5 29.8
- V8 1 2.2 88.0 30.7
- V81 1 2.2 88.0 30.7
- V25 1 2.3 88.0 30.8
- V24 1 2.5 88.2 31.2
- V62 1 2.7 88.4 31.5
- V37 1 2.7 88.5 31.7
- V44 1 2.8 88.5 31.8
- V56 1 2.9 88.6 32.0
- V84 1 3.1 88.9 32.4
- V48 1 3.2 88.9 32.5
- V61 1 3.2 88.9 32.5
- V19 1 3.2 89.0 32.6
- V30 1 3.4 89.1 32.9
- V10 1 3.5 89.3 33.2
- V43 1 4.0 89.7 34.1
- V32 1 4.1 89.8 34.3
- V26 1 4.3 90.0 34.7
- V69 1 4.8 90.5 35.6
- V13 1 4.9 90.6 35.8
- V83 1 5.2 90.9 36.3
- V15 1 5.4 91.1 36.7
- V68 1 5.5 91.3 37.0
- V14 1 5.6 91.3 37.1
- V4 1 5.9 91.7 37.7
- V12 1 6.3 92.0 38.4
- V6 1 6.8 92.6 39.4
- V59 1 7.0 92.7 39.7
- V7 1 7.0 92.7 39.8
- V96 1 7.1 92.8 39.9
- V55 1 7.2 92.9 40.1
- V2 1 7.3 93.0 40.3
- V72 1 7.6 93.3 40.8
- V42 1 7.6 93.4 40.9
- V77 1 7.9 93.6 41.4
- V82 1 8.3 94.0 42.1
- V41 1 8.7 94.4 42.8
- V60 1 9.1 94.8 43.5
- V5 1 9.5 95.2 44.3
- V63 1 9.6 95.3 44.4
- V66 1 10.2 95.9 45.6
- V45 1 10.5 96.3 46.2
- V78 1 11.2 96.9 47.3
- V23 1 12.2 97.9 49.1
- V94 1 12.6 98.3 49.8
- V29 1 13.0 98.7 50.5
- V50 1 14.5 100.2 53.1
- V46 1 14.9 100.6 53.7
- V21 1 15.2 100.9 54.3
- V74 1 15.3 101.0 54.5
- V40 1 15.7 101.4 55.1
- V22 1 16.6 102.3 56.7
- V79 1 16.8 102.5 57.0
- V28 1 17.9 103.6 58.8
- V73 1 18.2 103.9 59.3
- V34 1 18.4 104.1 59.7
- V97 1 19.7 105.5 61.9
- V53 1 20.4 106.1 62.9
- V51 1 21.7 107.4 65.0
- V80 1 23.1 108.8 67.3
- V1 1 23.2 108.9 67.4
- V52 1 24.0 109.8 68.7
- V85 1 25.3 111.0 70.7
- V39 1 26.8 112.5 73.0
- V92 1 27.1 112.8 73.4
- V64 1 35.7 121.4 86.1
- V99 1 36.5 122.2 87.2
- V87 1 59.4 145.1 116.8
Step: AIC=27.94
fat ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V10 + V12 + V13 +
V14 + V15 + V16 + V17 + V19 + V21 + V22 + V23 + V24 + V25 +
V26 + V27 + V28 + V29 + V30 + V31 + V32 + V34 + V37 + V39 +
V40 + V41 + V42 + V43 + V44 + V45 + V46 + V48 + V50 + V51 +
V52 + V53 + V55 + V56 + V59 + V60 + V61 + V62 + V63 + V64 +
V66 + V68 + V69 + V72 + V73 + V74 + V77 + V78 + V79 + V80 +
V81 + V82 + V83 + V84 + V85 + V87 + V92 + V94 + V96 + V97 +
V99
Df Sum of Sq RSS AIC
<none> 86.6 27.9
- V27 1 1.2 87.8 28.3
- V16 1 1.2 87.8 28.3
- V3 1 1.3 87.9 28.6
- V17 1 1.5 88.1 29.0
- V25 1 1.8 88.4 29.5
- V31 1 2.0 88.6 29.8
- V8 1 2.1 88.7 30.0
- V81 1 2.2 88.8 30.3
- V62 1 2.3 88.9 30.4
- V61 1 2.4 89.0 30.6
- V84 1 2.5 89.0 30.8
- V56 1 3.0 89.6 31.9
- V48 1 3.1 89.7 32.0
- V30 1 3.2 89.8 32.2
- V37 1 3.3 89.8 32.3
- V44 1 3.3 89.9 32.3
- V10 1 3.8 90.3 33.3
- V19 1 3.9 90.4 33.5
- V24 1 4.0 90.6 33.7
- V26 1 4.6 91.1 34.8
- V43 1 4.6 91.2 34.8
- V13 1 4.6 91.2 34.9
- V32 1 4.7 91.3 35.1
- V15 1 4.9 91.5 35.5
- V14 1 5.3 91.9 36.1
- V68 1 5.9 92.5 37.3
- V12 1 6.1 92.7 37.7
- V96 1 6.4 93.0 38.3
- V4 1 6.4 93.0 38.3
- V83 1 6.7 93.3 38.7
- V69 1 6.8 93.4 39.0
- V59 1 6.8 93.4 39.0
- V6 1 7.0 93.6 39.4
- V7 1 7.2 93.8 39.7
- V2 1 7.5 94.1 40.3
- V55 1 7.6 94.2 40.5
- V77 1 8.3 94.9 41.7
- V60 1 8.3 94.9 41.7
- V42 1 8.4 95.0 41.8
- V82 1 8.7 95.3 42.4
- V63 1 8.8 95.3 42.5
- V41 1 8.9 95.5 42.8
- V5 1 10.1 96.7 44.9
- V66 1 10.5 97.1 45.6
- V78 1 11.3 97.9 47.1
- V45 1 11.5 98.1 47.4
- V94 1 12.0 98.6 48.2
- V29 1 12.3 98.9 48.8
- V50 1 13.7 100.3 51.2
- V23 1 14.8 101.4 53.1
- V40 1 15.4 102.0 54.1
- V46 1 16.0 102.5 55.0
- V79 1 16.7 103.3 56.3
- V28 1 17.2 103.8 57.1
- V21 1 17.6 104.2 57.8
- V74 1 18.9 105.4 59.8
- V22 1 19.1 105.7 60.2
- V34 1 19.1 105.7 60.3
- V97 1 19.2 105.8 60.5
- V53 1 20.6 107.2 62.7
- V51 1 20.8 107.4 63.0
- V72 1 21.1 107.6 63.4
- V80 1 22.6 109.2 65.9
- V1 1 22.8 109.4 66.1
- V52 1 23.4 110.0 67.1
- V85 1 24.6 111.1 68.9
- V73 1 25.1 111.7 69.8
- V39 1 26.6 113.2 72.0
- V92 1 27.2 113.8 72.9
- V64 1 35.6 122.2 85.2
- V99 1 37.8 124.4 88.3
- V87 1 58.6 145.2 114.8
rmse(modsteplm$fit, trainmeat$fat)
[1] 0.7095
rmse(predict(modsteplm, testmeat), testmeat$fat)
[1] 3.59
meatpca <- prcomp(trainmeat[, -101])
round(meatpca$sdev, 3)
[1] 5.055 0.511 0.282 0.168 0.038 0.025 0.014 0.011 0.005 0.003 0.002
[12] 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[23] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[34] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[45] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[56] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[67] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[78] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[89] 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[100] 0.000
matplot(1:100, meatpca$rot[, 1:3], type = "l", xlab = "Frequency", ylab = "",
col = 1)
require(pls)
Loading required package: pls
Attaching package: 'pls'
The following object is masked from 'package:stats':
loadings
pcrmod <- pcr(fat ~ ., data = trainmeat, ncomp = 50)
rmse(predict(pcrmod, ncomp = 4), trainmeat$fat)
[1] 4.065
plot(modlm$coef[-1], xlab = "Frequency", ylab = "Coefficient", type = "l")
coefplot(pcrmod, ncomp = 4, xlab = "Frequency", main = "")
plot(meatpca$sdev[1:10], type = "l", ylab = "SD of PC", xlab = "PC number")
rmse(predict(pcrmod, testmeat, ncomp = 4), testmeat$fat)
[1] 4.534
pcrmse <- RMSEP(pcrmod, newdata = testmeat)
plot(pcrmse, main = "")
which.min(pcrmse$val)
[1] 28
pcrmse$val[28]
[1] 1.855
set.seed(123)
pcrmod <- pcr(fat ~ ., data = trainmeat, validation = "CV", ncomp = 50)
pcrCV <- RMSEP(pcrmod, estimate = "CV")
plot(pcrCV, main = "")
which.min(pcrCV$val)
[1] 18
ypred <- predict(pcrmod, testmeat, ncomp = 18)
rmse(ypred, testmeat$fat)
[1] 2.127
set.seed(123)
plsmod <- plsr(fat ~ ., data = meatspec[1:172, ], ncomp = 50, validation = "CV")
coefplot(plsmod, ncomp = 4, xlab = "Frequency")
plsCV <- RMSEP(plsmod, estimate = "CV")
plot(plsCV, main = "")
ypred <- predict(plsmod, ncomp = 15)
rmse(ypred, trainmeat$fat)
[1] 1.89
ytpred <- predict(plsmod, testmeat, ncomp = 15)
rmse(ytpred, testmeat$fat)
[1] 1.972
require(MASS)
rgmod <- lm.ridge(fat ~ ., trainmeat, lambda = seq(0, 5e-08, len = 21))
matplot(rgmod$lambda, coef(rgmod), type = "l", xlab = expression(lambda), ylab = expression(hat(beta)),
col = 1)
which.min(rgmod$GCV)
1.75e-08
8
abline(v = 1.75e-08)
ypred <- cbind(1, as.matrix(trainmeat[, -101])) %*% coef(rgmod)[8, ]
rmse(ypred, trainmeat$fat)
[1] 0.8024
ypred <- cbind(1, as.matrix(testmeat[, -101])) %*% coef(rgmod)[8, ]
rmse(ypred, testmeat$fat)
[1] 4.101
c(ytpred[13], ypred[13], testmeat$fat[13])
[1] 35.73 11.16 34.80
rmse(ypred[-13], testmeat$fat[-13])
[1] 1.979
require(lars)
Loading required package: lars
Loaded lars 1.2
data(state)
statedata <- data.frame(state.x77, row.names = state.abb)
lmod <- lars(as.matrix(statedata[, -4]), statedata$Life)
Warning: Name partially matched in data frame
plot(lmod)
set.seed(123)
cvlmod <- cv.lars(as.matrix(statedata[, -4]), statedata$Life)
Warning: Name partially matched in data frame
cvlmod$index[which.min(cvlmod$cv)]
[1] 0.6566
predict(lmod, s = 0.65657, type = "coef", mode = "fraction")$coef
Population Income Illiteracy Murder HS.Grad Frost
2.345e-05 0.000e+00 0.000e+00 -2.399e-01 3.529e-02 -1.695e-03
Area
0.000e+00
coef(lm(Life.Exp ~ Population + Murder + HS.Grad + Frost, statedata))
(Intercept) Population Murder HS.Grad Frost
7.103e+01 5.014e-05 -3.001e-01 4.658e-02 -5.943e-03
trainy <- trainmeat$fat
trainx <- as.matrix(trainmeat[, -101])
lassomod <- lars(trainx, trainy)
set.seed(123)
cvout <- cv.lars(trainx, trainy)
cvout$index[which.min(cvout$cv)]
[1] 0.0101
testx <- as.matrix(testmeat[, -101])
predlars <- predict(lassomod, testx, s = 0.0101, mode = "fraction")
rmse(testmeat$fat, predlars$fit)
[1] 2.132
predlars <- predict(lassomod, s = 0.0101, type = "coef", mode = "fraction")
plot(predlars$coef, type = "h", ylab = "Coefficient")
sum(predlars$coef != 0)
[1] 20
The R session information (including the OS info, R version and all packages used):
sessionInfo()
R version 3.1.0 (2014-04-10)
Platform: x86_64-apple-darwin13.1.0 (64-bit)
locale:
[1] en_GB.UTF-8/en_GB.UTF-8/en_GB.UTF-8/C/en_GB.UTF-8/en_GB.UTF-8
attached base packages:
[1] graphics grDevices utils datasets methods stats base
other attached packages:
[1] lars_1.2 pls_2.4-3 MASS_7.3-31 faraway_1.0.6
[5] knitr_1.5 ggplot2_0.9.3.1
loaded via a namespace (and not attached):
[1] colorspace_1.2-4 dichromat_2.0-0 digest_0.6.4
[4] evaluate_0.5.3 formatR_0.10 grid_3.1.0
[7] gtable_0.1.2 labeling_0.2 munsell_0.4.2
[10] plyr_1.8.1 proto_0.3-10 RColorBrewer_1.0-5
[13] Rcpp_0.11.1 reshape2_1.2.2 scales_0.2.3
[16] stringr_0.6.2 tools_3.1.0
Sys.time()
[1] "2014-06-16 14:02:22 BST"