Regresi Ridge
Data
Data yang digunakan dalam praktikum ini adalah data BodyFat.
dengan,
X1: Triceps Skinfold Thickness
X2: Thigh Circumference
X3: Midarm Circumference
Y: Body Fat
Model Regresi Linier Berganda
Model Regresi Ridge
#Fitting Model Regresi Ridge
mod <- lmridge(Bodyfat~.,
as.data.frame(data), K = seq(0,
0.1, 0.001))
summary(mod)##
## Call:
## lmridge.default(formula = Bodyfat ~ ., data = as.data.frame(data),
## K = seq(0, 0.1, 0.001))
##
##
## Coefficients: for Ridge parameter K= 0
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 117.0847 1914.1817 3412.1592 0.5610 0.5826
## Triceps 4.3341 94.8988 64.0559 1.4815 0.1579
## Thigh -2.8569 -65.1851 57.1552 -1.1405 0.2709
## Midarm -2.1861 -34.7530 24.6072 -1.4123 0.1770
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.80140 0.77800 3.00001 22.86042 37.86718 100.76904
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 3.00001 , 16.99998 ) = 3.362633e-06
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.001
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 42.2182 381.2959 1450.0276 0.2630 0.7958
## Triceps 2.0684 45.2892 27.1827 1.6661 0.1145
## Thigh -0.9177 -20.9398 24.2754 -0.8626 0.4007
## Midarm -0.9922 -15.7733 10.6448 -1.4818 0.1572
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.78330 0.75780 2.41928 22.51692 37.39934 99.72294
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.41928 , 17.33544 ) = 7.39047e-06
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.002
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 22.2769 -26.9403 925.8892 -0.0291 0.9771
## Triceps 1.4645 32.0653 17.3131 1.8521 0.0817 .
## Thigh -0.4012 -9.1541 15.4855 -0.5911 0.5623
## Midarm -0.6738 -10.7119 7.0062 -1.5289 0.1450
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.78020 0.75440 2.26338 22.32049 37.49519 99.66355
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.26338 , 17.53806 ) = 9.45898e-06
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.003
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 13.0449 -215.8916 682.8477 -0.3162 0.7558
## Triceps 1.1845 25.9359 12.7224 2.0386 0.0575 .
## Thigh -0.1620 -3.6975 11.4048 -0.3242 0.7498
## Midarm -0.5261 -8.3643 5.3781 -1.5552 0.1385
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77870 0.75260 2.19035 22.21690 37.56714 99.66279
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.19035 , 17.648 ) = 1.069415e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.004
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 7.7250 -324.7391 543.0738 -0.5980 0.5578
## Triceps 1.0229 22.3981 10.0714 2.2239 0.0401 *
## Thigh -0.0242 -0.5528 9.0543 -0.0611 0.9520
## Midarm -0.4408 -7.0081 4.4818 -1.5637 0.1365
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77750 0.75130 2.14753 22.15391 37.61541 99.66842
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.14753 , 17.71618 ) = 1.151823e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.005
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 4.2677 -395.4469 452.6415 -0.8736 0.3946
## Triceps 0.9177 20.0942 8.3475 2.4072 0.0278 *
## Thigh 0.0654 1.4911 7.5305 0.1980 0.8454
## Midarm -0.3852 -6.1239 3.9293 -1.5585 0.1377
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77650 0.75020 2.11911 22.11164 37.64890 99.67361
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.11911 , 17.76242 ) = 1.211209e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.006
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 1.8424 -445.0249 389.5993 -1.1423 0.2693
## Triceps 0.8437 18.4740 7.1385 2.5879 0.0192 *
## Thigh 0.1282 2.9251 6.4659 0.4524 0.6567
## Midarm -0.3460 -5.5012 3.5631 -1.5439 0.1411
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77550 0.74910 2.09872 22.08119 37.67314 99.67754
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.09872 , 17.79572 ) = 1.256415e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.007
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 0.0483 -481.6774 343.3259 -1.4030 0.1787
## Triceps 0.7888 17.2719 6.2451 2.7657 0.0133 *
## Thigh 0.1747 3.9861 5.6825 0.7015 0.4925
## Midarm -0.3169 -5.0385 3.3077 -1.5233 0.1462
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77460 0.74810 2.08320 22.05819 37.69116 99.68011
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.0832 , 17.82085 ) = 1.292382e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.008
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -1.3315 -509.8480 308.0549 -1.6551 0.1163
## Triceps 0.7464 16.3443 5.5591 2.9401 0.0092 **
## Thigh 0.2105 4.8023 5.0837 0.9446 0.3581
## Midarm -0.2944 -4.6808 3.1224 -1.4991 0.1523
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77370 0.74710 2.07091 22.04015 37.70495 99.68167
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.07091 , 17.84047 ) = 1.321889e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.009
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -2.4248 -532.1528 280.3842 -1.8979 0.0749 .
## Triceps 0.7128 15.6064 5.0165 3.1110 0.0064 **
## Thigh 0.2388 5.4492 4.6126 1.1814 0.2538
## Midarm -0.2765 -4.3956 2.9836 -1.4733 0.1590
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77280 0.74610 2.06080 22.02568 37.71561 99.68226
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.0608 , 17.85631 ) = 1.346815e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.01
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -3.3118 -550.2325 258.1788 -2.1312 0.0480 *
## Triceps 0.6853 15.0053 4.5773 3.2782 0.0044 **
## Thigh 0.2618 5.9741 4.2333 1.4112 0.1763
## Midarm -0.2619 -4.1628 2.8771 -1.4469 0.1662
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77190 0.74510 2.05233 22.01361 37.72409 99.68231
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.05233 , 17.86922 ) = 1.368298e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.011
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -4.0452 -565.1680 240.0281 -2.3546 0.0309 *
## Triceps 0.6625 14.5059 4.2151 3.4414 0.0031 **
## Thigh 0.2809 6.4083 3.9223 1.6338 0.1207
## Midarm -0.2497 -3.9690 2.7934 -1.4208 0.1735
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77110 0.74410 2.04502 22.00351 37.73080 99.68174
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.04502 , 17.88007 ) = 1.387189e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.012
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -4.6613 -577.7007 224.9653 -2.5680 0.0200 *
## Triceps 0.6432 14.0843 3.9118 3.6005 0.0022 **
## Thigh 0.2968 6.7732 3.6634 1.8489 0.0820 .
## Midarm -0.2393 -3.8048 2.7265 -1.3955 0.1809
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.77020 0.74320 2.03862 21.99480 37.73618 99.68075
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.03862 , 17.88926 ) = 1.404076e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.013
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -5.1856 -588.3557 212.3041 -2.7713 0.0131 *
## Triceps 0.6268 13.7234 3.6543 3.7554 0.0016 **
## Thigh 0.3105 7.0838 3.4450 2.0563 0.0555 .
## Midarm -0.2305 -3.6640 2.6720 -1.3713 0.1882
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76930 0.74220 2.03291 21.98728 37.74049 99.67937
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.03291 , 17.89721 ) = 1.419366e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.014
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -5.6370 -597.5156 201.5458 -2.9647 0.0087 **
## Triceps 0.6125 13.4109 3.4334 3.9060 0.0011 **
## Thigh 0.3222 7.3513 3.2588 2.2559 0.0376 *
## Midarm -0.2228 -3.5416 2.6270 -1.3482 0.1953
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76850 0.74130 2.02784 21.98047 37.74411 99.67794
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.02784 , 17.90398 ) = 1.43329e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.015
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -6.0292 -605.4656 192.3163 -3.1483 0.0059 **
## Triceps 0.6000 13.1376 3.2421 4.0522 0.0008 ***
## Thigh 0.3324 7.5839 3.0985 2.4476 0.0256 *
## Midarm -0.2160 -3.4343 2.5894 -1.3263 0.2023
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76760 0.74030 2.02315 21.97454 37.74691 99.67607
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.02315 , 17.91005 ) = 1.446245e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.016
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -6.3730 -612.4229 184.3337 -3.3224 0.0040 **
## Triceps 0.5890 12.8964 3.0750 4.1940 0.0006 ***
## Thigh 0.3413 7.7878 2.9595 2.6315 0.0175 *
## Midarm -0.2100 -3.3392 2.5576 -1.3056 0.2091
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76680 0.73940 2.01891 21.96905 37.74930 99.67424
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.01891 , 17.91532 ) = 1.458236e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.017
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -6.6764 -618.5555 177.3780 -3.4872 0.0028 **
## Triceps 0.5792 12.6819 2.9279 4.3313 0.0005 ***
## Thigh 0.3492 7.9680 2.8379 2.8077 0.0121 *
## Midarm -0.2047 -3.2544 2.5303 -1.2862 0.2156
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76590 0.73840 2.01494 21.96410 37.75116 99.67215
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.01494 , 17.92005 ) = 1.469571e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.018
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -6.9461 -623.9955 171.2771 -3.6432 0.0020 **
## Triceps 0.5704 12.4898 2.7978 4.4642 0.0003 ***
## Thigh 0.3562 8.1281 2.7310 2.9762 0.0085 **
## Midarm -0.1999 -3.1781 2.5067 -1.2678 0.2220
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76510 0.73750 2.01123 21.95960 37.75264 99.66994
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.01123 , 17.92436 ) = 1.48026e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.019
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -7.1870 -628.8483 165.8949 -3.7906 0.0015 **
## Triceps 0.5625 12.3167 2.6818 4.5926 0.0003 ***
## Thigh 0.3625 8.2713 2.6364 3.1374 0.0060 **
## Midarm -0.1956 -3.1091 2.4862 -1.2506 0.2280
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76430 0.73650 2.00778 21.95530 37.75388 99.66774
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.00778 , 17.92814 ) = 1.490429e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.02
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -7.4034 -633.1991 161.1205 -3.9300 0.0011 **
## Triceps 0.5554 12.1599 2.5781 4.7167 0.0002 ***
## Thigh 0.3681 8.4000 2.5522 3.2913 0.0043 **
## Midarm -0.1916 -3.0464 2.4681 -1.2343 0.2339
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76340 0.73560 2.00448 21.95136 37.75478 99.66535
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.00448 , 17.93165 ) = 1.500203e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.021
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -7.5987 -637.1171 156.8650 -4.0616 0.0008 ***
## Triceps 0.5488 12.0172 2.4848 4.8364 0.0002 ***
## Thigh 0.3732 8.5162 2.4770 3.4381 0.0031 **
## Midarm -0.1880 -2.9890 2.4521 -1.2190 0.2395
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76260 0.73460 2.00138 21.94758 37.75553 99.66301
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.00138 , 17.93478 ) = 1.509565e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.022
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -7.7756 -640.6594 153.0543 -4.1858 0.0006 ***
## Triceps 0.5429 11.8865 2.4005 4.9517 0.0001 ***
## Thigh 0.3779 8.6216 2.4095 3.5782 0.0023 **
## Midarm -0.1847 -2.9363 2.4378 -1.2045 0.2449
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76170 0.73370 1.99839 21.94407 37.75602 99.66053
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.99839 , 17.93772 ) = 1.518633e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.023
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -7.9365 -643.8738 149.6279 -4.3032 0.0005 ***
## Triceps 0.5374 11.7665 2.3241 5.0629 0.0001 ***
## Thigh 0.3821 8.7175 2.3486 3.7118 0.0017 **
## Midarm -0.1816 -2.8877 2.4249 -1.1908 0.2501
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76090 0.73280 1.99555 21.94070 37.75640 99.65808
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.99555 , 17.9404 ) = 1.527372e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.024
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.0833 -646.7999 146.5352 -4.4140 0.0004 ***
## Triceps 0.5323 11.6559 2.2546 5.1699 0.0001 ***
## Thigh 0.3859 8.8051 2.2935 3.8391 0.0013 **
## Midarm -0.1788 -2.8427 2.4133 -1.1779 0.2551
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.76010 0.73180 1.99282 21.93744 37.75665 99.65561
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.99282 , 17.94286 ) = 1.535889e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.025
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.2177 -649.4715 143.7336 -4.5186 0.0003 ***
## Triceps 0.5277 11.5535 2.1911 5.2728 0.0001 ***
## Thigh 0.3894 8.8853 2.2436 3.9604 0.0010 ***
## Midarm -0.1762 -2.8008 2.4027 -1.1657 0.2598
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75920 0.73090 1.99022 21.93423 37.75685 99.65322
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.99022 , 17.94508 ) = 1.54415e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.026
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.3410 -651.9171 141.1865 -4.6174 0.0002 ***
## Triceps 0.5233 11.4584 2.1331 5.3718 0.0001 ***
## Thigh 0.3926 8.9591 2.1980 4.0760 0.0008 ***
## Midarm -0.1737 -2.7617 2.3930 -1.1541 0.2644
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75840 0.73000 1.98765 21.93127 37.75684 99.65066
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.98765 , 17.94726 ) = 1.552284e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.027
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.4545 -654.1612 138.8641 -4.7108 0.0002 ***
## Triceps 0.5193 11.3699 2.0797 5.4670 <2e-16 ***
## Thigh 0.3956 9.0270 2.1564 4.1860 0.0006 ***
## Midarm -0.1714 -2.7252 2.3841 -1.1430 0.2688
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75760 0.72900 1.98520 21.92826 37.75684 99.64821
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.9852 , 17.9492 ) = 1.560224e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.028
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.5592 -656.2249 136.7397 -4.7991 0.0002 ***
## Triceps 0.5155 11.2872 2.0307 5.5584 <2e-16 ***
## Thigh 0.3984 9.0897 2.1183 4.2909 0.0005 ***
## Midarm -0.1693 -2.6908 2.3759 -1.1326 0.2731
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75670 0.72810 1.98278 21.92543 37.75668 99.64565
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.98278 , 17.95108 ) = 1.568068e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.029
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.6559 -658.1265 134.7912 -4.8826 0.0001 ***
## Triceps 0.5120 11.2098 1.9854 5.6461 <2e-16 ***
## Thigh 0.4009 9.1477 2.0834 4.3908 0.0004 ***
## Midarm -0.1672 -2.6586 2.3682 -1.1226 0.2772
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75590 0.72720 1.98044 21.92263 37.75651 99.64314
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.98044 , 17.95283 ) = 1.575757e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.03
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.7455 -659.8818 132.9993 -4.9615 0.0001 ***
## Triceps 0.5086 11.1371 1.9435 5.7304 <2e-16 ***
## Thigh 0.4033 9.2015 2.0511 4.4861 0.0003 ***
## Midarm -0.1653 -2.6281 2.3611 -1.1131 0.2811
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75510 0.72630 1.97818 21.91984 37.75633 99.64071
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.97818 , 17.95445 ) = 1.583299e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.031
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.8286 -661.5046 131.3469 -5.0363 0.0001 ***
## Triceps 0.5055 11.0687 1.9047 5.8112 <2e-16 ***
## Thigh 0.4055 9.2515 2.0214 4.5768 0.0003 ***
## Midarm -0.1635 -2.5993 2.3544 -1.1040 0.2850
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75430 0.72540 1.97597 21.91709 37.75611 99.63829
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.97597 , 17.95597 ) = 1.590747e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.032
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.9058 -663.0072 129.8195 -5.1071 0.0001 ***
## Triceps 0.5026 11.0042 1.8687 5.8887 <2e-16 ***
## Thigh 0.4075 9.2980 1.9939 4.6633 0.0002 ***
## Midarm -0.1618 -2.5720 2.3482 -1.0953 0.2886
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75340 0.72440 1.97378 21.91443 37.75581 99.63581
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.97378 , 17.95744 ) = 1.598156e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.033
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -8.9777 -664.4003 128.4048 -5.1743 0.0001 ***
## Triceps 0.4998 10.9433 1.8352 5.9631 <2e-16 ***
## Thigh 0.4094 9.3414 1.9684 4.7458 0.0002 ***
## Midarm -0.1601 -2.5461 2.3422 -1.0870 0.2922
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75260 0.72350 1.97167 21.91169 37.75555 99.63345
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.97167 , 17.95876 ) = 1.605463e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.034
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.0447 -665.6933 127.0908 -5.2379 0.0001 ***
## Triceps 0.4972 10.8857 1.8039 6.0344 <2e-16 ***
## Thigh 0.4112 9.3818 1.9447 4.8244 0.0002 ***
## Midarm -0.1586 -2.5214 2.3366 -1.0791 0.2956
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75180 0.72260 1.96957 21.90908 37.75522 99.63103
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.96957 , 17.9601 ) = 1.612702e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.035
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.1072 -666.8947 125.8683 -5.2984 0.0001 ***
## Triceps 0.4947 10.8310 1.7748 6.1028 <2e-16 ***
## Thigh 0.4128 9.4196 1.9226 4.8995 0.0001 ***
## Midarm -0.1571 -2.4979 2.3313 -1.0714 0.2989
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75100 0.72170 1.96752 21.90644 37.75490 99.62867
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.96752 , 17.96132 ) = 1.619891e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.036
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.1656 -668.0119 124.7284 -5.3557 0.0001 ***
## Triceps 0.4923 10.7790 1.7475 6.1683 <2e-16 ***
## Thigh 0.4144 9.4550 1.9020 4.9711 0.0001 ***
## Midarm -0.1557 -2.4754 2.3263 -1.0641 0.3021
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.75020 0.72080 1.96549 21.90384 37.75455 99.62629
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.96549 , 17.96252 ) = 1.627039e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.037
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.2202 -669.0518 123.6637 -5.4103 <2e-16 ***
## Triceps 0.4900 10.7296 1.7219 6.2311 <2e-16 ***
## Thigh 0.4158 9.4882 1.8828 5.0395 0.0001 ***
## Midarm -0.1544 -2.4539 2.3214 -1.0571 0.3052
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74940 0.71990 1.96354 21.90117 37.75428 99.62409
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.96354 , 17.9636 ) = 1.634062e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.038
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.2713 -670.0203 122.6669 -5.4621 <2e-16 ***
## Triceps 0.4879 10.6825 1.6980 6.2913 <2e-16 ***
## Thigh 0.4172 9.5193 1.8648 5.1049 0.0001 ***
## Midarm -0.1531 -2.4333 2.3168 -1.0503 0.3083
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74850 0.71900 1.96156 21.89860 37.75390 99.62174
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.96156 , 17.9647 ) = 1.641156e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.039
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.3192 -670.9229 121.7325 -5.5115 <2e-16 ***
## Triceps 0.4858 10.6375 1.6755 6.3489 <2e-16 ***
## Thigh 0.4185 9.5485 1.8479 5.1673 0.0001 ***
## Midarm -0.1518 -2.4135 2.3124 -1.0437 0.3112
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74770 0.71810 1.95964 21.89596 37.75359 99.61951
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95964 , 17.9657 ) = 1.648171e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.04
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.3640 -671.7644 120.8548 -5.5584 <2e-16 ***
## Triceps 0.4839 10.5946 1.6543 6.4042 <2e-16 ***
## Thigh 0.4197 9.5759 1.8320 5.2270 0.0001 ***
## Midarm -0.1506 -2.3945 2.3081 -1.0374 0.3140
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74690 0.71720 1.95776 21.89329 37.75331 99.61736
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95776 , 17.96664 ) = 1.655131e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.041
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.4061 -672.5492 120.0288 -5.6032 <2e-16 ***
## Triceps 0.4820 10.5535 1.6344 6.4572 <2e-16 ***
## Thigh 0.4208 9.6017 1.8171 5.2841 0.0001 ***
## Midarm -0.1495 -2.3762 2.3040 -1.0314 0.3168
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74610 0.71630 1.95585 21.89073 37.75294 99.61509
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95585 , 17.96764 ) = 1.662148e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.042
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.4457 -673.2813 119.2507 -5.6459 <2e-16 ***
## Triceps 0.4802 10.5141 1.6156 6.5079 <2e-16 ***
## Thigh 0.4219 9.6260 1.8031 5.3387 0.0001 ***
## Midarm -0.1484 -2.3586 2.3000 -1.0255 0.3195
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74530 0.71540 1.95401 21.88805 37.75267 99.61299
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95401 , 17.9685 ) = 1.669083e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.043
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.4828 -673.9644 118.5160 -5.6867 <2e-16 ***
## Triceps 0.4785 10.4763 1.5978 6.5566 <2e-16 ***
## Thigh 0.4229 9.6489 1.7898 5.3910 <2e-16 ***
## Midarm -0.1473 -2.3416 2.2962 -1.0198 0.3221
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74450 0.71450 1.95216 21.88547 37.75235 99.61083
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95216 , 17.96942 ) = 1.676018e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.044
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.5177 -674.6018 117.8219 -5.7256 <2e-16 ***
## Triceps 0.4768 10.4400 1.5811 6.6031 <2e-16 ***
## Thigh 0.4238 9.6704 1.7773 5.4411 <2e-16 ***
## Midarm -0.1463 -2.3252 2.2925 -1.0143 0.3246
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74370 0.71360 1.95037 21.88272 37.75213 99.60882
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.95037 , 17.97018 ) = 1.682935e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.045
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.5505 -675.1965 117.1644 -5.7628 <2e-16 ***
## Triceps 0.4752 10.4051 1.5652 6.6478 <2e-16 ***
## Thigh 0.4247 9.6907 1.7654 5.4891 <2e-16 ***
## Midarm -0.1453 -2.3093 2.2889 -1.0090 0.3271
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74290 0.71270 1.94856 21.88011 37.75185 99.60674
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.94856 , 17.97104 ) = 1.689841e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.046
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.5813 -675.7513 116.5412 -5.7984 <2e-16 ***
## Triceps 0.4737 10.3715 1.5502 6.6906 <2e-16 ***
## Thigh 0.4256 9.7099 1.7542 5.5352 <2e-16 ***
## Midarm -0.1443 -2.2940 2.2853 -1.0038 0.3295
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74210 0.71180 1.94676 21.87747 37.75157 99.60467
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.94676 , 17.97186 ) = 1.696782e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.047
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.6103 -676.2686 115.9499 -5.8324 <2e-16 ***
## Triceps 0.4722 10.3391 1.5359 6.7316 <2e-16 ***
## Thigh 0.4264 9.7280 1.7436 5.5793 <2e-16 ***
## Midarm -0.1434 -2.2791 2.2819 -0.9988 0.3319
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74130 0.71090 1.94503 21.87470 37.75142 99.60280
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.94503 , 17.97256 ) = 1.703637e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.048
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.6376 -676.7509 115.3876 -5.8650 <2e-16 ***
## Triceps 0.4708 10.3079 1.5224 6.7710 <2e-16 ***
## Thigh 0.4271 9.7451 1.7335 5.6216 <2e-16 ***
## Midarm -0.1424 -2.2647 2.2786 -0.9939 0.3342
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.74050 0.71000 1.94328 21.87199 37.75122 99.60086
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.94328 , 17.97329 ) = 1.71055e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.049
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.6633 -677.2002 114.8525 -5.8963 <2e-16 ***
## Triceps 0.4694 10.2777 1.5095 6.8087 <2e-16 ***
## Thigh 0.4278 9.7612 1.7239 5.6623 <2e-16 ***
## Midarm -0.1416 -2.2507 2.2753 -0.9892 0.3364
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73970 0.70910 1.94155 21.86926 37.75106 99.59897
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.94155 , 17.97401 ) = 1.717443e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.05
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.6874 -677.6185 114.3425 -5.9262 <2e-16 ***
## Triceps 0.4681 10.2486 1.4973 6.8448 <2e-16 ***
## Thigh 0.4285 9.7764 1.7147 5.7014 <2e-16 ***
## Midarm -0.1407 -2.2370 2.2722 -0.9845 0.3386
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73890 0.70820 1.93983 21.86652 37.75091 99.59710
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93983 , 17.97472 ) = 1.72434e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.051
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.7101 -678.0077 113.8563 -5.9549 <2e-16 ***
## Triceps 0.4668 10.2204 1.4856 6.8795 <2e-16 ***
## Thigh 0.4291 9.7908 1.7060 5.7389 <2e-16 ***
## Midarm -0.1399 -2.2238 2.2690 -0.9801 0.3407
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73810 0.70730 1.93815 21.86364 37.75083 99.59536
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93815 , 17.9753 ) = 1.731266e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.052
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.7315 -678.3694 113.3914 -5.9825 <2e-16 ***
## Triceps 0.4655 10.1932 1.4746 6.9127 <2e-16 ***
## Thigh 0.4297 9.8044 1.6977 5.7750 <2e-16 ***
## Midarm -0.1391 -2.2109 2.2660 -0.9757 0.3428
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73730 0.70640 1.93643 21.86093 37.75068 99.59349
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93643 , 17.97602 ) = 1.738207e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.053
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.7516 -678.7051 112.9471 -6.0091 <2e-16 ***
## Triceps 0.4643 10.1668 1.4640 6.9446 <2e-16 ***
## Thigh 0.4303 9.8173 1.6898 5.8097 <2e-16 ***
## Midarm -0.1383 -2.1984 2.2630 -0.9714 0.3449
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73650 0.70550 1.93476 21.85807 37.75063 99.59178
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93476 , 17.97663 ) = 1.74514e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.054
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.7705 -679.0164 112.5216 -6.0345 <2e-16 ***
## Triceps 0.4632 10.1412 1.4539 6.9752 <2e-16 ***
## Thigh 0.4308 9.8294 1.6822 5.8431 <2e-16 ***
## Midarm -0.1375 -2.1862 2.2601 -0.9673 0.3469
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73580 0.70470 1.93308 21.85526 37.75056 99.59004
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93308 , 17.97728 ) = 1.752087e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.055
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.7882 -679.3044 112.1140 -6.0591 <2e-16 ***
## Triceps 0.4620 10.1163 1.4443 7.0045 <2e-16 ***
## Thigh 0.4313 9.8409 1.6750 5.8753 <2e-16 ***
## Midarm -0.1368 -2.1742 2.2572 -0.9632 0.3489
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73500 0.70380 1.93145 21.85235 37.75060 99.58845
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.93145 , 17.97785 ) = 1.758987e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.056
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8049 -679.5706 111.7229 -6.0826 <2e-16 ***
## Triceps 0.4609 10.0922 1.4351 7.0326 <2e-16 ***
## Thigh 0.4318 9.8517 1.6680 5.9063 <2e-16 ***
## Midarm -0.1360 -2.1626 2.2544 -0.9593 0.3508
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73420 0.70290 1.92979 21.84944 37.75059 99.58678
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92979 , 17.97843 ) = 1.766016e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.057
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8206 -679.8160 111.3472 -6.1054 <2e-16 ***
## Triceps 0.4598 10.0688 1.4262 7.0597 <2e-16 ***
## Thigh 0.4322 9.8620 1.6613 5.9361 <2e-16 ***
## Midarm -0.1353 -2.1512 2.2516 -0.9554 0.3527
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73340 0.70200 1.92815 21.84655 37.75062 99.58519
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92815 , 17.97903 ) = 1.772982e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.058
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8352 -680.0417 110.9862 -6.1273 <2e-16 ***
## Triceps 0.4588 10.0460 1.4178 7.0856 <2e-16 ***
## Thigh 0.4326 9.8716 1.6550 5.9649 <2e-16 ***
## Midarm -0.1346 -2.1401 2.2488 -0.9517 0.3546
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73260 0.70120 1.92655 21.84355 37.75074 99.58372
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92655 , 17.97955 ) = 1.779938e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.059
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8490 -680.2487 110.6387 -6.1484 <2e-16 ***
## Triceps 0.4578 10.0239 1.4097 7.1105 <2e-16 ***
## Thigh 0.4330 9.8808 1.6488 5.9926 <2e-16 ***
## Midarm -0.1339 -2.1292 2.2461 -0.9480 0.3564
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73180 0.70030 1.92492 21.84061 37.75082 99.58217
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92492 , 17.98013 ) = 1.786979e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.06
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8619 -680.4380 110.3042 -6.1687 <2e-16 ***
## Triceps 0.4568 10.0023 1.4020 7.1343 <2e-16 ***
## Thigh 0.4334 9.8894 1.6429 6.0194 <2e-16 ***
## Midarm -0.1333 -2.1186 2.2435 -0.9443 0.3582
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73100 0.69940 1.92331 21.83761 37.75095 99.58069
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92331 , 17.98067 ) = 1.79402e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.061
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8740 -680.6104 109.9817 -6.1884 <2e-16 ***
## Triceps 0.4558 9.9813 1.3946 7.1573 <2e-16 ***
## Thigh 0.4338 9.8975 1.6372 6.0452 <2e-16 ***
## Midarm -0.1326 -2.1082 2.2408 -0.9408 0.3599
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.73030 0.69850 1.92173 21.83457 37.75115 99.57932
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92173 , 17.98119 ) = 1.801019e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.062
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8852 -680.7667 109.6704 -6.2074 <2e-16 ***
## Triceps 0.4549 9.9608 1.3874 7.1793 <2e-16 ***
## Thigh 0.4341 9.9052 1.6318 6.0702 <2e-16 ***
## Midarm -0.1320 -2.0980 2.2382 -0.9373 0.3617
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72950 0.69770 1.92012 21.83154 37.75131 99.57788
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.92012 , 17.98173 ) = 1.808141e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.063
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.8958 -680.9078 109.3701 -6.2257 <2e-16 ***
## Triceps 0.4540 9.9409 1.3806 7.2005 <2e-16 ***
## Thigh 0.4344 9.9124 1.6265 6.0943 <2e-16 ***
## Midarm -0.1313 -2.0880 2.2357 -0.9339 0.3633
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72870 0.69680 1.91855 21.82842 37.75156 99.57656
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.91855 , 17.9822 ) = 1.815232e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.064
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9056 -681.0343 109.0798 -6.2435 <2e-16 ***
## Triceps 0.4531 9.9214 1.3740 7.2208 <2e-16 ***
## Thigh 0.4347 9.9192 1.6214 6.1176 <2e-16 ***
## Midarm -0.1307 -2.0782 2.2332 -0.9306 0.365
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72790 0.69590 1.91700 21.82527 37.75186 99.57533
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.917 , 17.98268 ) = 1.822293e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.065
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9147 -681.1469 108.7989 -6.2606 <2e-16 ***
## Triceps 0.4522 9.9024 1.3677 7.2403 <2e-16 ***
## Thigh 0.4350 9.9257 1.6165 6.1401 <2e-16 ***
## Midarm -0.1301 -2.0686 2.2307 -0.9273 0.3667
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72720 0.69510 1.91543 21.82216 37.75215 99.57405
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.91543 , 17.98319 ) = 1.829421e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.066
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9231 -681.2463 108.5271 -6.2772 <2e-16 ***
## Triceps 0.4514 9.8838 1.3616 7.2591 <2e-16 ***
## Thigh 0.4353 9.9317 1.6118 6.1619 <2e-16 ***
## Midarm -0.1295 -2.0592 2.2282 -0.9241 0.3683
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72640 0.69420 1.91388 21.81895 37.75249 99.57285
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.91388 , 17.98364 ) = 1.836592e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.067
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9310 -681.3330 108.2638 -6.2933 <2e-16 ***
## Triceps 0.4506 9.8657 1.3557 7.2771 <2e-16 ***
## Thigh 0.4355 9.9374 1.6072 6.1830 <2e-16 ***
## Midarm -0.1289 -2.0499 2.2258 -0.9210 0.3699
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72560 0.69330 1.91233 21.81575 37.75285 99.57167
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.91233 , 17.98411 ) = 1.843782e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.068
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9382 -681.4077 108.0084 -6.3088 <2e-16 ***
## Triceps 0.4498 9.8479 1.3501 7.2945 <2e-16 ***
## Thigh 0.4358 9.9427 1.6028 6.2034 <2e-16 ***
## Midarm -0.1284 -2.0408 2.2233 -0.9179 0.3714
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72490 0.69250 1.91076 21.81258 37.75319 99.57044
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.91076 , 17.98463 ) = 1.851039e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.069
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9449 -681.4708 107.7610 -6.3239 <2e-16 ***
## Triceps 0.4490 9.8306 1.3446 7.3111 <2e-16 ***
## Thigh 0.4360 9.9477 1.5985 6.2231 <2e-16 ***
## Midarm -0.1278 -2.0318 2.2209 -0.9149 0.373
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72410 0.69160 1.90926 21.80920 37.75369 99.56945
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90926 , 17.98499 ) = 1.858244e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.07
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9510 -681.5229 107.5205 -6.3385 <2e-16 ***
## Triceps 0.4482 9.8136 1.3394 7.3271 <2e-16 ***
## Thigh 0.4362 9.9523 1.5944 6.2422 <2e-16 ***
## Midarm -0.1273 -2.0230 2.2186 -0.9119 0.3745
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72330 0.69080 1.90771 21.80598 37.75411 99.56832
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90771 , 17.9855 ) = 1.865521e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.071
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9566 -681.5644 107.2868 -6.3527 <2e-16 ***
## Triceps 0.4474 9.7970 1.3343 7.3425 <2e-16 ***
## Thigh 0.4364 9.9567 1.5903 6.2608 <2e-16 ***
## Midarm -0.1267 -2.0144 2.2162 -0.9089 0.376
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72250 0.68990 1.90617 21.80270 37.75457 99.56725
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90617 , 17.98597 ) = 1.872846e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.072
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9617 -681.5958 107.0599 -6.3665 <2e-16 ***
## Triceps 0.4467 9.7807 1.3294 7.3573 <2e-16 ***
## Thigh 0.4366 9.9608 1.5864 6.2787 <2e-16 ***
## Midarm -0.1262 -2.0059 2.2139 -0.9060 0.3775
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72180 0.68910 1.90466 21.79932 37.75511 99.56629
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90466 , 17.98639 ) = 1.880167e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.073
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9663 -681.6176 106.8390 -6.3799 <2e-16 ***
## Triceps 0.4460 9.7648 1.3246 7.3716 <2e-16 ***
## Thigh 0.4367 9.9646 1.5826 6.2962 <2e-16 ***
## Midarm -0.1257 -1.9975 2.2116 -0.9032 0.379
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72100 0.68820 1.90316 21.79592 37.75569 99.56538
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90316 , 17.98681 ) = 1.887488e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.074
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9705 -681.6300 106.6240 -6.3928 <2e-16 ***
## Triceps 0.4452 9.7491 1.3201 7.3853 <2e-16 ***
## Thigh 0.4369 9.9681 1.5790 6.3130 <2e-16 ***
## Midarm -0.1251 -1.9893 2.2093 -0.9004 0.3804
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.72030 0.68740 1.90165 21.79253 37.75628 99.56446
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90165 , 17.98725 ) = 1.894871e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.075
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9742 -681.6335 106.4148 -6.4054 <2e-16 ***
## Triceps 0.4446 9.7338 1.3157 7.3985 <2e-16 ***
## Thigh 0.4370 9.9714 1.5754 6.3294 <2e-16 ***
## Midarm -0.1246 -1.9811 2.2070 -0.8976 0.3818
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71950 0.68650 1.90017 21.78903 37.75695 99.56365
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.90017 , 17.98763 ) = 1.902255e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.076
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9775 -681.6284 106.2106 -6.4177 <2e-16 ***
## Triceps 0.4439 9.7187 1.3114 7.4111 <2e-16 ***
## Thigh 0.4371 9.9744 1.5719 6.3453 <2e-16 ***
## Midarm -0.1241 -1.9731 2.2048 -0.8949 0.3832
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71870 0.68570 1.89865 21.78563 37.75756 99.56275
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89865 , 17.9881 ) = 1.909728e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.077
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9804 -681.6151 106.0117 -6.4296 <2e-16 ***
## Triceps 0.4432 9.7040 1.3072 7.4233 <2e-16 ***
## Thigh 0.4373 9.9772 1.5685 6.3608 <2e-16 ***
## Midarm -0.1236 -1.9652 2.2026 -0.8923 0.3846
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71800 0.68480 1.89717 21.78211 37.75827 99.56199
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89717 , 17.9885 ) = 1.917185e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.078
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9829 -681.5940 105.8175 -6.4412 <2e-16 ***
## Triceps 0.4425 9.6895 1.3032 7.4351 <2e-16 ***
## Thigh 0.4374 9.9797 1.5653 6.3758 <2e-16 ***
## Midarm -0.1231 -1.9575 2.2004 -0.8896 0.386
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71720 0.68400 1.89568 21.77861 37.75898 99.56122
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89568 , 17.98893 ) = 1.924687e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.079
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9850 -681.5653 105.6282 -6.4525 <2e-16 ***
## Triceps 0.4419 9.6752 1.2993 7.4464 <2e-16 ***
## Thigh 0.4375 9.9821 1.5621 6.3903 <2e-16 ***
## Midarm -0.1226 -1.9498 2.1982 -0.8870 0.3874
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71650 0.68310 1.89423 21.77497 37.75980 99.56060
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89423 , 17.98927 ) = 1.932183e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.08
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9868 -681.5292 105.4430 -6.4635 <2e-16 ***
## Triceps 0.4412 9.6612 1.2955 7.4573 <2e-16 ***
## Thigh 0.4376 9.9842 1.5589 6.4045 <2e-16 ***
## Midarm -0.1222 -1.9422 2.1960 -0.8844 0.3887
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71570 0.68230 1.89274 21.77143 37.76057 99.55988
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89274 , 17.98971 ) = 1.939765e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.081
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9881 -681.4862 105.2622 -6.4742 <2e-16 ***
## Triceps 0.4406 9.6475 1.2919 7.4677 <2e-16 ***
## Thigh 0.4377 9.9861 1.5559 6.4182 <2e-16 ***
## Midarm -0.1217 -1.9348 2.1938 -0.8819 0.39
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71500 0.68140 1.89128 21.76779 37.76142 99.55927
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.89128 , 17.99009 ) = 1.94735e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.082
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9892 -681.4364 105.0853 -6.4846 <2e-16 ***
## Triceps 0.4400 9.6340 1.2883 7.4778 <2e-16 ***
## Thigh 0.4377 9.9878 1.5529 6.4316 <2e-16 ***
## Midarm -0.1212 -1.9274 2.1917 -0.8794 0.3914
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71420 0.68060 1.88982 21.76414 37.76229 99.55869
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88982 , 17.99048 ) = 1.954969e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.083
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9900 -681.3802 104.9123 -6.4948 <2e-16 ***
## Triceps 0.4394 9.6207 1.2849 7.4875 <2e-16 ***
## Thigh 0.4378 9.9894 1.5500 6.4446 <2e-16 ***
## Midarm -0.1208 -1.9201 2.1895 -0.8770 0.3927
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71350 0.67980 1.88836 21.76046 37.76318 99.55813
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88836 , 17.99088 ) = 1.962629e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.084
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9904 -681.3177 104.7430 -6.5047 <2e-16 ***
## Triceps 0.4388 9.6076 1.2816 7.4968 <2e-16 ***
## Thigh 0.4379 9.9908 1.5472 6.4573 <2e-16 ***
## Midarm -0.1203 -1.9129 2.1874 -0.8745 0.3939
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71270 0.67890 1.88692 21.75672 37.76414 99.55766
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88692 , 17.99124 ) = 1.970302e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.085
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9906 -681.2491 104.5771 -6.5143 <2e-16 ***
## Triceps 0.4382 9.5948 1.2783 7.5058 <2e-16 ***
## Thigh 0.4379 9.9919 1.5444 6.4696 <2e-16 ***
## Midarm -0.1199 -1.9058 2.1853 -0.8721 0.3952
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71200 0.67810 1.88544 21.75305 37.76505 99.55709
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88544 , 17.99168 ) = 1.978087e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.086
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9904 -681.1748 104.4147 -6.5237 <2e-16 ***
## Triceps 0.4376 9.5821 1.2751 7.5145 <2e-16 ***
## Thigh 0.4380 9.9930 1.5418 6.4816 <2e-16 ***
## Midarm -0.1194 -1.8988 2.1832 -0.8697 0.3965
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71120 0.67720 1.88400 21.74927 37.76606 99.55666
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.884 , 17.99205 ) = 1.985844e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.087
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9900 -681.0949 104.2555 -6.5329 <2e-16 ***
## Triceps 0.4370 9.5696 1.2721 7.5228 <2e-16 ***
## Thigh 0.4380 9.9938 1.5391 6.4932 <2e-16 ***
## Midarm -0.1190 -1.8919 2.1811 -0.8674 0.3977
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.71050 0.67640 1.88255 21.74550 37.76708 99.55624
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88255 , 17.99246 ) = 1.993652e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.088
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9892 -681.0095 104.0996 -6.5419 <2e-16 ***
## Triceps 0.4365 9.5574 1.2691 7.5309 <2e-16 ***
## Thigh 0.4380 9.9945 1.5365 6.5046 <2e-16 ***
## Midarm -0.1186 -1.8850 2.1790 -0.8651 0.399
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70970 0.67560 1.88114 21.74161 37.76820 99.55595
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.88114 , 17.99278 ) = 2.001446e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.089
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9883 -680.9190 103.9466 -6.5507 <2e-16 ***
## Triceps 0.4359 9.5453 1.2662 7.5386 <2e-16 ***
## Thigh 0.4380 9.9951 1.5340 6.5156 <2e-16 ***
## Midarm -0.1182 -1.8783 2.1770 -0.8628 0.4002
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70900 0.67480 1.87972 21.73771 37.76932 99.55567
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.87972 , 17.99312 ) = 2.009307e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.09
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9871 -680.8234 103.7963 -6.5592 <2e-16 ***
## Triceps 0.4354 9.5333 1.2634 7.5460 <2e-16 ***
## Thigh 0.4381 9.9955 1.5315 6.5264 <2e-16 ***
## Midarm -0.1177 -1.8716 2.1749 -0.8605 0.4014
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70830 0.67390 1.87830 21.73384 37.77047 99.55540
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.8783 , 17.99351 ) = 2.017161e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.091
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9856 -680.7230 103.6488 -6.5676 <2e-16 ***
## Triceps 0.4349 9.5216 1.2606 7.5532 <2e-16 ***
## Thigh 0.4381 9.9958 1.5291 6.5369 <2e-16 ***
## Midarm -0.1173 -1.8649 2.1729 -0.8583 0.4026
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70750 0.67310 1.87685 21.72997 37.77159 99.55508
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.87685 , 17.99392 ) = 2.025163e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.092
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9839 -680.6179 103.5039 -6.5758 <2e-16 ***
## Triceps 0.4343 9.5100 1.2579 7.5601 <2e-16 ***
## Thigh 0.4381 9.9959 1.5268 6.5472 <2e-16 ***
## Midarm -0.1169 -1.8584 2.1709 -0.8561 0.4038
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70680 0.67230 1.87543 21.72603 37.77279 99.55486
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.87543 , 17.9943 ) = 2.033134e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.093
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9820 -680.5083 103.3616 -6.5838 <2e-16 ***
## Triceps 0.4338 9.4986 1.2553 7.5668 <2e-16 ***
## Thigh 0.4381 9.9959 1.5244 6.5572 <2e-16 ***
## Midarm -0.1165 -1.8519 2.1689 -0.8539 0.405
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70600 0.67150 1.87400 21.72208 37.77400 99.55465
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.874 , 17.99469 ) = 2.041179e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.094
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9799 -680.3943 103.2220 -6.5916 <2e-16 ***
## Triceps 0.4333 9.4873 1.2528 7.5731 <2e-16 ***
## Thigh 0.4381 9.9958 1.5222 6.5669 <2e-16 ***
## Midarm -0.1161 -1.8455 2.1669 -0.8517 0.4061
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70530 0.67060 1.87262 21.71799 37.77534 99.55461
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.87262 , 17.99498 ) = 2.049185e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.095
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9775 -680.2760 103.0846 -6.5992 <2e-16 ***
## Triceps 0.4328 9.4762 1.2503 7.5793 <2e-16 ***
## Thigh 0.4381 9.9956 1.5199 6.5764 <2e-16 ***
## Midarm -0.1157 -1.8391 2.1649 -0.8495 0.4073
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70460 0.66980 1.87123 21.71390 37.77667 99.55456
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.87123 , 17.9953 ) = 2.057257e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.096
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9749 -680.1537 102.9492 -6.6067 <2e-16 ***
## Triceps 0.4323 9.4652 1.2478 7.5852 <2e-16 ***
## Thigh 0.4381 9.9952 1.5177 6.5856 <2e-16 ***
## Midarm -0.1153 -1.8329 2.1629 -0.8474 0.4085
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70380 0.66900 1.86980 21.70993 37.77796 99.55443
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.8698 , 17.99573 ) = 2.065398e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.097
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9722 -680.0275 102.8163 -6.6140 <2e-16 ***
## Triceps 0.4318 9.4544 1.2455 7.5909 <2e-16 ***
## Thigh 0.4380 9.9947 1.5156 6.5947 <2e-16 ***
## Midarm -0.1149 -1.8266 2.1609 -0.8453 0.4096
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70310 0.66820 1.86841 21.70581 37.77935 99.55443
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.86841 , 17.99607 ) = 2.073549e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.098
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9692 -679.8974 102.6853 -6.6212 <2e-16 ***
## Triceps 0.4313 9.4437 1.2432 7.5965 <2e-16 ***
## Thigh 0.4380 9.9941 1.5135 6.6035 <2e-16 ***
## Midarm -0.1145 -1.8205 2.1590 -0.8432 0.4107
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70240 0.66740 1.86699 21.70173 37.78071 99.55438
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.86699 , 17.99647 ) = 2.081806e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.099
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9661 -679.7636 102.5566 -6.6282 <2e-16 ***
## Triceps 0.4308 9.4332 1.2409 7.6017 <2e-16 ***
## Thigh 0.4380 9.9935 1.5114 6.6121 <2e-16 ***
## Midarm -0.1141 -1.8144 2.1570 -0.8411 0.4119
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70160 0.66650 1.86563 21.69748 37.78221 99.55453
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.86563 , 17.99675 ) = 2.090003e-05
## -------------------------------------------------------------------
##
##
## Coefficients: for Ridge parameter K= 0.1
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept -9.9628 -679.6262 102.4297 -6.6351 <2e-16 ***
## Triceps 0.4303 9.4227 1.2387 7.6068 <2e-16 ***
## Thigh 0.4380 9.9927 1.5093 6.6205 <2e-16 ***
## Midarm -0.1138 -1.8083 2.1551 -0.8391 0.413
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.70090 0.66570 1.86425 21.69332 37.78370 99.55464
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 1.86425 , 17.99711 ) = 2.098229e-05
## -------------------------------------------------------------------
Model Regresi Ridge dengan K Optimal
#Fitting Model Regresi Ridge
mod_opt <- lmridge(Bodyfat~.,
as.data.frame(data), K = 0.001)
summary(mod_opt)##
## Call:
## lmridge.default(formula = Bodyfat ~ ., data = as.data.frame(data),
## K = 0.001)
##
##
## Coefficients: for Ridge parameter K= 0.001
## Estimate Estimate (Sc) StdErr (Sc) t-value (Sc) Pr(>|t|)
## Intercept 42.2182 381.2959 1450.0276 0.2630 0.7958
## Triceps 2.0684 45.2892 27.1827 1.6661 0.1145
## Thigh -0.9177 -20.9398 24.2754 -0.8626 0.4007
## Midarm -0.9922 -15.7733 10.6448 -1.4818 0.1572
##
## Ridge Summary
## R2 adj-R2 DF ridge F AIC BIC
## 0.78330 0.75780 2.41928 22.51692 37.39934 99.72294
## Ridge minimum MSE= 6220.488 at K= 0.001
## P-value for F-test ( 2.41928 , 17.33544 ) = 7.39047e-06
## -------------------------------------------------------------------