#CARGA DE DATOS
library(readr)
ejemplo_regresion <- read_csv("C:/archivos_para_R/ejemplo_regresion.csv")
head(ejemplo_regresion,n=5)
## # A tibble: 5 x 3
## X1 X2 Y
## <dbl> <dbl> <dbl>
## 1 3.92 7298 0.75
## 2 3.61 6855 0.71
## 3 3.32 6636 0.66
## 4 3.07 6506 0.61
## 5 3.06 6450 0.7
#CORRER EL MODELO
library(stargazer)
modelo_clase<-lm(formula=Y~X1+X2,data=ejemplo_regresion)
# usando summary
summary(modelo_clase)
Call: lm(formula = Y ~ X1 + X2, data = ejemplo_regresion)
Residuals: Min 1Q Median 3Q Max -0.085090 -0.039102 -0.003341 0.030236 0.105692
Coefficients: Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.564e+00 7.940e-02 19.705 1.82e-15 X1
2.372e-01 5.556e-02 4.269 0.000313 X2 -2.491e-04
3.205e-05 -7.772 9.51e-08 *** — Signif. codes: 0 ‘’ 0.001
’’ 0.01 ’’ 0.05 ‘.’ 0.1 ’ ’ 1
Residual standard error: 0.0533 on 22 degrees of freedom Multiple R-squared: 0.8653, Adjusted R-squared: 0.8531 F-statistic: 70.66 on 2 and 22 DF, p-value: 2.65e-10
#usando stargazer
stargazer(modelo_clase,title = "modelo de regresion",type = "html",digits = 6)
| Dependent variable: | |
| Y | |
| X1 | 0.237197*** |
| (0.055559) | |
| X2 | -0.000249*** |
| (0.000032) | |
| Constant | 1.564497*** |
| (0.079396) | |
| Observations | 25 |
| R2 | 0.865296 |
| Adjusted R2 | 0.853050 |
| Residual Std. Error | 0.053302 (df = 22) |
| F Statistic | 70.660570*** (df = 2; 22) |
| Note: | p<0.1; p<0.05; p<0.01 |
mat_x<-model.matrix(modelo_clase)
#matriz XtX
mat_xx<-t(mat_x)%*%mat_x
print(mat_xx)
## (Intercept) X1 X2
## (Intercept) 25.00 96.3400 181083.0
## X1 96.34 379.2928 710932.3
## X2 181083.00 710932.3200 1335796275.0
#matriz A
solve(mat_xx)%*%t(mat_x)->mat_A
print(mat_A)
## 1 2 3 4
## (Intercept) 2.671735e-02 1.536650e-01 2.048227e-01 0.2285864559
## X1 3.989544e-02 -3.565847e-02 -2.215854e-01 -0.4165400478
## X2 -1.939144e-05 3.278674e-06 9.513298e-05 0.0001955722
## 5 6 7 8
## (Intercept) 0.2471098101 0.267955249 2.881990e-01 3.021260e-01
## X1 -0.3943792324 -0.311747228 -1.830474e-01 -1.122102e-01
## X2 0.0001812249 0.000134385 6.311916e-05 2.350957e-05
## 9 10 11 12
## (Intercept) 3.125846e-01 3.115468e-01 3.109783e-01 0.3192380551
## X1 5.631978e-02 5.455055e-02 8.183743e-02 0.2183626148
## X2 -6.759587e-05 -6.651133e-05 -8.095003e-05 -0.0001547247
## 13 14 15 16
## (Intercept) 0.2647959132 0.2313887316 0.1593708433 0.0942621738
## X1 0.2008967572 0.2569672798 0.1718624834 0.2021429065
## X2 -0.0001379163 -0.0001631348 -0.0001079146 -0.0001150357
## 17 18 19 20
## (Intercept) 2.940927e-02 -0.0310791444 -0.1506869905 -2.013240e-01
## X1 1.857657e-01 0.2521791772 0.1989653933 1.879867e-01
## X2 -9.736917e-05 -0.0001243516 -0.0000795279 -6.669616e-05
## 21 22 23 24
## (Intercept) -3.118477e-01 -0.4081610633 -0.4936128503 -0.556949583
## X1 1.973536e-01 -0.0798709381 -0.1219474069 -0.211089593
## X2 -5.642085e-05 0.0001043654 0.0001385483 0.000194718
## 25
## (Intercept) -0.5990949550
## X1 -0.2170100301
## X2 0.0002036863
#matriz P
mat_x%*%mat_A->mat_P
print(mat_P)
## 1 2 3 4 5 6
## 1 0.04158873 0.03781156 3.048860e-02 0.02303563 0.02372260 0.026648158
## 2 0.03781156 0.04741323 5.703616e-02 0.06552455 0.06569752 0.063757225
## 3 0.03048860 0.05703616 1.004618e-01 0.14349084 0.14037925 0.124733596
## 4 0.02303563 0.06552455 1.434908e-01 0.22220146 0.21541482 0.185200348
## 5 0.02372260 0.06569752 1.403792e-01 0.21541482 0.20921001 0.180792258
## 6 0.02664816 0.06375722 1.247336e-01 0.18520035 0.18079226 0.158754414
## 7 0.03129701 0.06007990 9.934054e-02 0.13689689 0.13519269 0.123010600
## 8 0.03383474 0.05820518 8.559755e-02 0.11059386 0.11039943 0.103660458
## 9 0.04004349 0.05252933 5.100009e-02 0.04570760 0.04892978 0.054990366
## 10 0.03998532 0.05253917 5.128549e-02 0.04629432 0.04947345 0.055393522
## 11 0.04100766 0.05149892 4.549412e-02 0.03555827 0.03927310 0.047250570
## 12 0.04603893 0.04688955 1.744909e-02 -0.01702736 -0.01054640 0.007798511
## 13 0.04579828 0.04461719 1.656080e-02 -0.01573428 -0.01001993 0.006644885
## 14 0.04814241 0.04075129 1.957310e-03 -0.04107698 -0.03451110 -0.013832267
## 15 0.04551090 0.04003970 1.383288e-02 -0.01510384 -0.01077924 0.002993784
## 16 0.04713214 0.03542863 2.000001e-03 -0.03358109 -0.02916052 -0.013531666
## 17 0.04701070 0.03255787 9.655854e-06 -0.03377378 -0.03017877 -0.016216760
## 18 0.04994515 0.02685737 -1.904159e-02 -0.06592067 -0.06147877 -0.042900936
## 19 0.04886272 0.02241431 -1.786905e-02 -0.05727177 -0.05480786 -0.041042251
## 20 0.04883537 0.02010589 -1.980380e-02 -0.05812998 -0.05627486 -0.043674112
## 21 0.05001919 0.01383400 -3.104239e-02 -0.07304609 -0.07186006 -0.059284179
## 22 0.04040327 0.01892940 1.923596e-02 0.02563620 0.02059045 0.011587364
## 23 0.03947851 0.01590533 2.092801e-02 0.03340359 0.02686436 0.014116670
## 24 0.03663083 0.01580855 3.438130e-02 0.06184036 0.05304706 0.033146114
## 25 0.03672810 0.01376819 3.209381e-02 0.05986710 0.05063077 0.030003329
## 7 8 9 10 11
## 1 3.129701e-02 0.033834744 0.040043491 0.039985317 0.04100766
## 2 6.007990e-02 0.058205176 0.052529329 0.052539165 0.05149892
## 3 9.934054e-02 0.085597548 0.051000087 0.051285486 0.04549412
## 4 1.368969e-01 0.110593862 0.045707605 0.046294321 0.03555827
## 5 1.351927e-01 0.110399429 0.048929776 0.049473450 0.03927310
## 6 1.230106e-01 0.103660458 0.054990366 0.055393522 0.04725057
## 7 1.025598e-01 0.091640109 0.062920604 0.063109962 0.05818661
## 8 9.164011e-02 0.085371329 0.067629278 0.067699807 0.06454509
## 9 6.292060e-02 0.067629278 0.076032081 0.075829293 0.07691052
## 10 6.310996e-02 0.067699807 0.075829293 0.075629759 0.07666767
## 11 5.818661e-02 0.064545086 0.076910524 0.076667674 0.07839425
## 12 3.489541e-02 0.050145832 0.083691329 0.083227155 0.08838551
## 13 3.142371e-02 0.045330207 0.076232442 0.075818693 0.08060435
## 14 1.741105e-02 0.034827185 0.074473737 0.073984332 0.08022514
## 15 2.384913e-02 0.035463862 0.061990628 0.061666884 0.06585153
## 16 1.059384e-02 0.023921981 0.055229525 0.054884418 0.05991338
## 17 5.670364e-03 0.017684986 0.046531179 0.046239071 0.05093572
## 18 -1.345506e-02 0.002635740 0.041865244 0.041492189 0.04793840
## 19 -1.844176e-02 -0.006266712 0.024852000 0.024613416 0.02986663
## 20 -2.260777e-02 -0.011340942 0.018136668 0.017936579 0.02297592
## 21 -3.763051e-02 -0.026183041 0.004885754 0.004716492 0.01012931
## 22 5.184751e-05 -0.006863930 -0.018703991 -0.018390895 -0.01984774
## 23 -2.788711e-03 -0.012765433 -0.031030084 -0.030614439 -0.03302593
## 24 5.416744e-03 -0.010589838 -0.042611712 -0.042027558 -0.04660778
## 25 1.376993e-03 -0.015176724 -0.048065153 -0.047454094 -0.05213122
## 12 13 14 15 16
## 1 0.046038933 0.045798283 0.04814241 0.045510898 0.047132139
## 2 0.046889547 0.044617195 0.04075129 0.040039703 0.035428634
## 3 0.017449090 0.016560798 0.00195731 0.013832885 0.002000001
## 4 -0.017027358 -0.015734277 -0.04107698 -0.015103836 -0.033581091
## 5 -0.010546403 -0.010019933 -0.03451110 -0.010779242 -0.029160523
## 6 0.007798511 0.006644885 -0.01383227 0.002993784 -0.013531666
## 7 0.034895411 0.031423714 0.01741105 0.023849129 0.010593837
## 8 0.050145832 0.045330207 0.03482719 0.035463862 0.023921981
## 9 0.083691329 0.076232442 0.07447374 0.061990628 0.055229525
## 10 0.083227155 0.075818693 0.07398433 0.061666884 0.054884418
## 11 0.088385511 0.080604350 0.08022514 0.065851527 0.059913384
## 12 0.115534854 0.105617598 0.11232580 0.087330333 0.085271677
## 13 0.105617598 0.097278159 0.10400832 0.081978444 0.081081798
## 14 0.112325805 0.104008320 0.11428940 0.089004701 0.090844454
## 15 0.087330333 0.081978444 0.08900470 0.072353813 0.073852397
## 16 0.085271677 0.081081798 0.09084445 0.073852397 0.078290810
## 17 0.074306310 0.071933225 0.08195660 0.068160746 0.074117541
## 18 0.079726880 0.077890979 0.09248418 0.075462692 0.085310455
## 19 0.055095904 0.056936697 0.07079203 0.061413561 0.073364592
## 20 0.046880620 0.050114337 0.06426903 0.057248734 0.070440106
## 21 0.035333920 0.041135721 0.05770913 0.053303532 0.070211887
## 22 -0.029396034 -0.017313040 -0.01374752 0.005809294 0.017310860
## 23 -0.047770704 -0.033003454 -0.03018006 -0.004854438 0.008026809
## 24 -0.072491687 -0.054913777 -0.05571007 -0.021705137 -0.009557036
## 25 -0.078713032 -0.060021365 -0.06039810 -0.024674895 -0.011396989
## 17 18 19 20 21
## 1 4.701070e-02 0.04994515 0.048862716 0.04883537 0.050019190
## 2 3.255787e-02 0.02685737 0.022414305 0.02010589 0.013833997
## 3 9.655854e-06 -0.01904159 -0.017869048 -0.01980380 -0.031042393
## 4 -3.377378e-02 -0.06592067 -0.057271769 -0.05812998 -0.073046093
## 5 -3.017877e-02 -0.06147877 -0.054807860 -0.05627486 -0.071860062
## 6 -1.621676e-02 -0.04290094 -0.041042251 -0.04367411 -0.059284179
## 7 5.670364e-03 -0.01345506 -0.018441763 -0.02260777 -0.037630506
## 8 1.768499e-02 0.00263574 -0.006266712 -0.01134094 -0.026183041
## 9 4.653118e-02 0.04186524 0.024852000 0.01813667 0.004885754
## 10 4.623907e-02 0.04149219 0.024613416 0.01793658 0.004716492
## 11 5.093572e-02 0.04793840 0.029866626 0.02297592 0.010129313
## 12 7.430631e-02 0.07972688 0.055095904 0.04688062 0.035333920
## 13 7.193323e-02 0.07789098 0.056936697 0.05011434 0.041135721
## 14 8.195660e-02 0.09248418 0.070792028 0.06426903 0.057709131
## 15 6.816075e-02 0.07546269 0.061413561 0.05724873 0.053303532
## 16 7.411754e-02 0.08531046 0.073364592 0.07044011 0.070211887
## 17 7.205185e-02 0.08416583 0.076401216 0.07509919 0.077986031
## 18 8.416583e-02 0.10232508 0.094798376 0.09433034 0.101153521
## 19 7.640122e-02 0.09479838 0.096014597 0.09873020 0.111008077
## 20 7.509919e-02 0.09433034 0.098730196 0.10269757 0.117430507
## 21 7.798603e-02 0.10115352 0.111008077 0.11743051 0.137942637
## 22 3.144922e-02 0.03992847 0.067329782 0.07826476 0.100211409
## 23 2.520430e-02 0.03359584 0.067425330 0.08066855 0.106460997
## 24 1.061421e-02 0.01526132 0.056453392 0.07188940 0.099800950
## 25 1.008350e-02 0.01562898 0.059326591 0.07577771 0.105773207
## 22 23 24 25
## 1 4.040327e-02 0.039478511 0.036630829 0.036728099
## 2 1.892940e-02 0.015905328 0.015808550 0.013768192
## 3 1.923596e-02 0.020928007 0.034381300 0.032093809
## 4 2.563620e-02 0.033403586 0.061840365 0.059867102
## 5 2.059045e-02 0.026864357 0.053047055 0.050630771
## 6 1.158736e-02 0.014116670 0.033146114 0.030003329
## 7 5.184751e-05 -0.002788711 0.005416744 0.001376993
## 8 -6.863930e-03 -0.012765433 -0.010589838 -0.015176724
## 9 -1.870399e-02 -0.031030084 -0.042611712 -0.048065153
## 10 -1.839090e-02 -0.030614439 -0.042027558 -0.047454094
## 11 -1.984774e-02 -0.033025927 -0.046607784 -0.052131218
## 12 -2.939603e-02 -0.047770704 -0.072491687 -0.078713032
## 13 -1.731304e-02 -0.033003454 -0.054913777 -0.060021365
## 14 -1.374752e-02 -0.030180062 -0.055710066 -0.060398099
## 15 5.809294e-03 -0.004854438 -0.021705137 -0.024674895
## 16 1.731086e-02 0.008026809 -0.009557036 -0.011396989
## 17 3.144922e-02 0.025204299 0.010614210 0.010083496
## 18 3.992847e-02 0.033595835 0.015261315 0.015628983
## 19 6.732978e-02 0.067425330 0.056453392 0.059326591
## 20 7.826476e-02 0.080668548 0.071889405 0.075777709
## 21 1.002114e-01 0.106460997 0.099800950 0.105773207
## 22 1.357829e-01 0.155593202 0.173616472 0.182532291
## 23 1.555932e-01 0.180141211 0.203749335 0.214471225
## 24 1.736165e-01 0.203749335 0.236134518 0.248424042
## 25 1.825323e-01 0.214471225 0.248424042 0.261545731
#matriz M
diag(25)-mat_P->mat_M
print(mat_M)
## 1 2 3 4 5 6
## 1 0.95841127 -0.03781156 -3.048860e-02 -0.02303563 -0.02372260 -0.026648158
## 2 -0.03781156 0.95258677 -5.703616e-02 -0.06552455 -0.06569752 -0.063757225
## 3 -0.03048860 -0.05703616 8.995382e-01 -0.14349084 -0.14037925 -0.124733596
## 4 -0.02303563 -0.06552455 -1.434908e-01 0.77779854 -0.21541482 -0.185200348
## 5 -0.02372260 -0.06569752 -1.403792e-01 -0.21541482 0.79078999 -0.180792258
## 6 -0.02664816 -0.06375722 -1.247336e-01 -0.18520035 -0.18079226 0.841245586
## 7 -0.03129701 -0.06007990 -9.934054e-02 -0.13689689 -0.13519269 -0.123010600
## 8 -0.03383474 -0.05820518 -8.559755e-02 -0.11059386 -0.11039943 -0.103660458
## 9 -0.04004349 -0.05252933 -5.100009e-02 -0.04570760 -0.04892978 -0.054990366
## 10 -0.03998532 -0.05253917 -5.128549e-02 -0.04629432 -0.04947345 -0.055393522
## 11 -0.04100766 -0.05149892 -4.549412e-02 -0.03555827 -0.03927310 -0.047250570
## 12 -0.04603893 -0.04688955 -1.744909e-02 0.01702736 0.01054640 -0.007798511
## 13 -0.04579828 -0.04461719 -1.656080e-02 0.01573428 0.01001993 -0.006644885
## 14 -0.04814241 -0.04075129 -1.957310e-03 0.04107698 0.03451110 0.013832267
## 15 -0.04551090 -0.04003970 -1.383288e-02 0.01510384 0.01077924 -0.002993784
## 16 -0.04713214 -0.03542863 -2.000001e-03 0.03358109 0.02916052 0.013531666
## 17 -0.04701070 -0.03255787 -9.655854e-06 0.03377378 0.03017877 0.016216760
## 18 -0.04994515 -0.02685737 1.904159e-02 0.06592067 0.06147877 0.042900936
## 19 -0.04886272 -0.02241431 1.786905e-02 0.05727177 0.05480786 0.041042251
## 20 -0.04883537 -0.02010589 1.980380e-02 0.05812998 0.05627486 0.043674112
## 21 -0.05001919 -0.01383400 3.104239e-02 0.07304609 0.07186006 0.059284179
## 22 -0.04040327 -0.01892940 -1.923596e-02 -0.02563620 -0.02059045 -0.011587364
## 23 -0.03947851 -0.01590533 -2.092801e-02 -0.03340359 -0.02686436 -0.014116670
## 24 -0.03663083 -0.01580855 -3.438130e-02 -0.06184036 -0.05304706 -0.033146114
## 25 -0.03672810 -0.01376819 -3.209381e-02 -0.05986710 -0.05063077 -0.030003329
## 7 8 9 10 11
## 1 -3.129701e-02 -0.033834744 -0.040043491 -0.039985317 -0.04100766
## 2 -6.007990e-02 -0.058205176 -0.052529329 -0.052539165 -0.05149892
## 3 -9.934054e-02 -0.085597548 -0.051000087 -0.051285486 -0.04549412
## 4 -1.368969e-01 -0.110593862 -0.045707605 -0.046294321 -0.03555827
## 5 -1.351927e-01 -0.110399429 -0.048929776 -0.049473450 -0.03927310
## 6 -1.230106e-01 -0.103660458 -0.054990366 -0.055393522 -0.04725057
## 7 8.974402e-01 -0.091640109 -0.062920604 -0.063109962 -0.05818661
## 8 -9.164011e-02 0.914628671 -0.067629278 -0.067699807 -0.06454509
## 9 -6.292060e-02 -0.067629278 0.923967919 -0.075829293 -0.07691052
## 10 -6.310996e-02 -0.067699807 -0.075829293 0.924370241 -0.07666767
## 11 -5.818661e-02 -0.064545086 -0.076910524 -0.076667674 0.92160575
## 12 -3.489541e-02 -0.050145832 -0.083691329 -0.083227155 -0.08838551
## 13 -3.142371e-02 -0.045330207 -0.076232442 -0.075818693 -0.08060435
## 14 -1.741105e-02 -0.034827185 -0.074473737 -0.073984332 -0.08022514
## 15 -2.384913e-02 -0.035463862 -0.061990628 -0.061666884 -0.06585153
## 16 -1.059384e-02 -0.023921981 -0.055229525 -0.054884418 -0.05991338
## 17 -5.670364e-03 -0.017684986 -0.046531179 -0.046239071 -0.05093572
## 18 1.345506e-02 -0.002635740 -0.041865244 -0.041492189 -0.04793840
## 19 1.844176e-02 0.006266712 -0.024852000 -0.024613416 -0.02986663
## 20 2.260777e-02 0.011340942 -0.018136668 -0.017936579 -0.02297592
## 21 3.763051e-02 0.026183041 -0.004885754 -0.004716492 -0.01012931
## 22 -5.184751e-05 0.006863930 0.018703991 0.018390895 0.01984774
## 23 2.788711e-03 0.012765433 0.031030084 0.030614439 0.03302593
## 24 -5.416744e-03 0.010589838 0.042611712 0.042027558 0.04660778
## 25 -1.376993e-03 0.015176724 0.048065153 0.047454094 0.05213122
## 12 13 14 15 16
## 1 -0.046038933 -0.045798283 -0.04814241 -0.045510898 -0.047132139
## 2 -0.046889547 -0.044617195 -0.04075129 -0.040039703 -0.035428634
## 3 -0.017449090 -0.016560798 -0.00195731 -0.013832885 -0.002000001
## 4 0.017027358 0.015734277 0.04107698 0.015103836 0.033581091
## 5 0.010546403 0.010019933 0.03451110 0.010779242 0.029160523
## 6 -0.007798511 -0.006644885 0.01383227 -0.002993784 0.013531666
## 7 -0.034895411 -0.031423714 -0.01741105 -0.023849129 -0.010593837
## 8 -0.050145832 -0.045330207 -0.03482719 -0.035463862 -0.023921981
## 9 -0.083691329 -0.076232442 -0.07447374 -0.061990628 -0.055229525
## 10 -0.083227155 -0.075818693 -0.07398433 -0.061666884 -0.054884418
## 11 -0.088385511 -0.080604350 -0.08022514 -0.065851527 -0.059913384
## 12 0.884465146 -0.105617598 -0.11232580 -0.087330333 -0.085271677
## 13 -0.105617598 0.902721841 -0.10400832 -0.081978444 -0.081081798
## 14 -0.112325805 -0.104008320 0.88571060 -0.089004701 -0.090844454
## 15 -0.087330333 -0.081978444 -0.08900470 0.927646187 -0.073852397
## 16 -0.085271677 -0.081081798 -0.09084445 -0.073852397 0.921709190
## 17 -0.074306310 -0.071933225 -0.08195660 -0.068160746 -0.074117541
## 18 -0.079726880 -0.077890979 -0.09248418 -0.075462692 -0.085310455
## 19 -0.055095904 -0.056936697 -0.07079203 -0.061413561 -0.073364592
## 20 -0.046880620 -0.050114337 -0.06426903 -0.057248734 -0.070440106
## 21 -0.035333920 -0.041135721 -0.05770913 -0.053303532 -0.070211887
## 22 0.029396034 0.017313040 0.01374752 -0.005809294 -0.017310860
## 23 0.047770704 0.033003454 0.03018006 0.004854438 -0.008026809
## 24 0.072491687 0.054913777 0.05571007 0.021705137 0.009557036
## 25 0.078713032 0.060021365 0.06039810 0.024674895 0.011396989
## 17 18 19 20 21
## 1 -4.701070e-02 -0.04994515 -0.048862716 -0.04883537 -0.050019190
## 2 -3.255787e-02 -0.02685737 -0.022414305 -0.02010589 -0.013833997
## 3 -9.655854e-06 0.01904159 0.017869048 0.01980380 0.031042393
## 4 3.377378e-02 0.06592067 0.057271769 0.05812998 0.073046093
## 5 3.017877e-02 0.06147877 0.054807860 0.05627486 0.071860062
## 6 1.621676e-02 0.04290094 0.041042251 0.04367411 0.059284179
## 7 -5.670364e-03 0.01345506 0.018441763 0.02260777 0.037630506
## 8 -1.768499e-02 -0.00263574 0.006266712 0.01134094 0.026183041
## 9 -4.653118e-02 -0.04186524 -0.024852000 -0.01813667 -0.004885754
## 10 -4.623907e-02 -0.04149219 -0.024613416 -0.01793658 -0.004716492
## 11 -5.093572e-02 -0.04793840 -0.029866626 -0.02297592 -0.010129313
## 12 -7.430631e-02 -0.07972688 -0.055095904 -0.04688062 -0.035333920
## 13 -7.193323e-02 -0.07789098 -0.056936697 -0.05011434 -0.041135721
## 14 -8.195660e-02 -0.09248418 -0.070792028 -0.06426903 -0.057709131
## 15 -6.816075e-02 -0.07546269 -0.061413561 -0.05724873 -0.053303532
## 16 -7.411754e-02 -0.08531046 -0.073364592 -0.07044011 -0.070211887
## 17 9.279482e-01 -0.08416583 -0.076401216 -0.07509919 -0.077986031
## 18 -8.416583e-02 0.89767492 -0.094798376 -0.09433034 -0.101153521
## 19 -7.640122e-02 -0.09479838 0.903985403 -0.09873020 -0.111008077
## 20 -7.509919e-02 -0.09433034 -0.098730196 0.89730243 -0.117430507
## 21 -7.798603e-02 -0.10115352 -0.111008077 -0.11743051 0.862057363
## 22 -3.144922e-02 -0.03992847 -0.067329782 -0.07826476 -0.100211409
## 23 -2.520430e-02 -0.03359584 -0.067425330 -0.08066855 -0.106460997
## 24 -1.061421e-02 -0.01526132 -0.056453392 -0.07188940 -0.099800950
## 25 -1.008350e-02 -0.01562898 -0.059326591 -0.07577771 -0.105773207
## 22 23 24 25
## 1 -4.040327e-02 -0.039478511 -0.036630829 -0.036728099
## 2 -1.892940e-02 -0.015905328 -0.015808550 -0.013768192
## 3 -1.923596e-02 -0.020928007 -0.034381300 -0.032093809
## 4 -2.563620e-02 -0.033403586 -0.061840365 -0.059867102
## 5 -2.059045e-02 -0.026864357 -0.053047055 -0.050630771
## 6 -1.158736e-02 -0.014116670 -0.033146114 -0.030003329
## 7 -5.184751e-05 0.002788711 -0.005416744 -0.001376993
## 8 6.863930e-03 0.012765433 0.010589838 0.015176724
## 9 1.870399e-02 0.031030084 0.042611712 0.048065153
## 10 1.839090e-02 0.030614439 0.042027558 0.047454094
## 11 1.984774e-02 0.033025927 0.046607784 0.052131218
## 12 2.939603e-02 0.047770704 0.072491687 0.078713032
## 13 1.731304e-02 0.033003454 0.054913777 0.060021365
## 14 1.374752e-02 0.030180062 0.055710066 0.060398099
## 15 -5.809294e-03 0.004854438 0.021705137 0.024674895
## 16 -1.731086e-02 -0.008026809 0.009557036 0.011396989
## 17 -3.144922e-02 -0.025204299 -0.010614210 -0.010083496
## 18 -3.992847e-02 -0.033595835 -0.015261315 -0.015628983
## 19 -6.732978e-02 -0.067425330 -0.056453392 -0.059326591
## 20 -7.826476e-02 -0.080668548 -0.071889405 -0.075777709
## 21 -1.002114e-01 -0.106460997 -0.099800950 -0.105773207
## 22 8.642171e-01 -0.155593202 -0.173616472 -0.182532291
## 23 -1.555932e-01 0.819858789 -0.203749335 -0.214471225
## 24 -1.736165e-01 -0.203749335 0.763865482 -0.248424042
## 25 -1.825323e-01 -0.214471225 -0.248424042 0.738454269