#Carga de datos
library(readr)
ejemplo_regresion <- read_csv("C:/Users/LENOVO/Downloads/ejemplo_regresion.csv")
head(ejemplo_regresion,n=5)## # A tibble: 5 × 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 0.7library(readxl)
ejemplo_regresion_excel <- read_excel("C:/Users/LENOVO/Downloads/ejemplo_regresion_excel.xlsx")
head(ejemplo_regresion_excel,n=5)## # A tibble: 5 × 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(formulua = Y~X1+X2,data = ejemplo_regresion)
#Usando summary
summary(Modelo_clase)Call: lm(data = ejemplo_regresion, formulua = Y ~ X1 + X2)
Residuals: Min 1Q Median 3Q Max -0.248761 -0.120261 0.000372 0.118676 0.262693
Coefficients: Estimate Std. Error t value Pr(>|t|)
(Intercept) -3.031e+00 7.274e-01 -4.167 0.000401 X2
7.727e-04 6.202e-05 12.459 1.93e-11 Y 1.910e+00 4.474e-01
4.269 0.000313 *** — Signif. codes: 0 ‘’ 0.001 ’’
0.01 ’’ 0.05 ‘.’ 0.1 ’ ’ 1
Residual standard error: 0.1513 on 22 degrees of freedom Multiple R-squared: 0.9374, Adjusted R-squared: 0.9317 F-statistic: 164.6 on 2 and 22 DF, p-value: 5.817e-14
#Usando stargazer
stargazer(Modelo_clase,title = "Modelo de Regresion",type = "text",digits = 6) Dependent variable:
---------------------------
NA | X2 0.000773*** (0.000062) |
| Y 1.910215*** (0.447434) |
| Constant -3.031223*** (0.727390) |
Observations 25
R2 0.937369
Adjusted R2 0.931675
Residual Std. Error 0.151263 (df = 22)
F Statistic 164.630500*** (df = 2; 22)
=============================================== Note: p<0.1;
p<0.05; p<0.01
matriz_X<-model.matrix(Modelo_clase)
#Matriz X*X
matriz_XX<-t(matriz_X)%*%matriz_X
print(matriz_XX)## (Intercept) X2 Y
## (Intercept) 25.00 181083.0 16.8600
## X2 181083.00 1335796275.0 119215.9400
## Y 16.86 119215.9 11.8344#Matriz A
solve(matriz_XX)%*%t(matriz_X)->Matriz_A
print(Matriz_A)## 1 2 3 4
## (Intercept) -1.088035e+00 3.069495e-01 1.4054312135 2.3323604745
## X2 8.878623e-05 -2.779069e-05 -0.0001172443 -0.0001917381
## Y 7.190515e-01 -9.734971e-02 -0.7654110420 -1.3397690668
## 5 6 7 8
## (Intercept) 1.2228790311 1.044863e+00 4.340528e-01 8.938326e-01
## X2 -0.0001063949 -9.340617e-05 -4.647887e-05 -8.277072e-05
## Y -0.6112499887 -4.867914e-01 -8.510012e-02 -3.770726e-01
## 9 10 11 12
## (Intercept) -1.287826e+00 -2.114533e-01 7.180845e-01 4.321253e-01
## X2 8.719745e-05 3.474025e-06 -6.871241e-05 -4.631078e-05
## Y 1.032365e+00 3.355424e-01 -2.674653e-01 -8.404728e-02
## 13 14 15 16
## (Intercept) -4.432152e-02 -1.098810e+00 -8.426702e-01 -5.894568e-02
## X2 -6.030709e-06 7.831917e-05 6.232009e-05 5.383783e-06
## Y 1.898041e-01 8.474483e-01 6.394808e-01 8.889266e-02
## 17 18 19 20
## (Intercept) -1.970487e-01 -1.160261e+00 3.972096e-01 -1.004920e+00
## X2 1.996156e-05 9.888672e-05 -1.538317e-05 9.674716e-05
## Y 1.371008e-01 7.176645e-01 -3.644490e-01 5.103043e-01
## 21 22 23 24
## (Intercept) -7.731573e-01 0.7759222112 -1.1049220941 -0.9262250235
## X2 8.540865e-05 -0.0000306643 0.0001206765 0.0001101632
## Y 2.884269e-01 -0.7618784894 0.4015774056 0.2495220446
## 25
## (Intercept) 8.348857e-01
## X2 -2.439945e-05
## Y -9.165964e-01# Matriz P
matriz_X%*%Matriz_A->matriz_P
print(matriz_P)## 1 2 3 4 5 6
## 1 0.099215127 0.031120767 -0.024275993 -0.07177078 -0.012028170 -0.001908879
## 2 0.031120767 0.047326029 0.058279675 0.06675995 0.059554754 0.058941712
## 3 -0.024275993 0.058279675 0.122226729 0.17573904 0.113417728 0.103737234
## 4 -0.071770779 0.066759950 0.175739041 0.26765344 0.157811560 0.140219606
## 5 -0.012028170 0.059554754 0.113417728 0.15781156 0.108757173 0.101639127
## 6 -0.001908879 0.058941712 0.103737234 0.14021961 0.101639127 0.096386795
## 7 0.031024966 0.055019110 0.069452988 0.07975025 0.074694053 0.075223036
## 8 0.006967406 0.058717740 0.095698160 0.12531198 0.096010608 0.092442150
## 9 0.122814727 0.042891670 -0.027822806 -0.09077671 -0.002746944 0.013714873
## 10 0.065556963 0.050596275 0.033058345 0.01582960 0.045833871 0.052377965
## 11 0.016022432 0.057160639 0.085581919 0.10788779 0.087663816 0.085612707
## 12 0.031113752 0.054991319 0.069335744 0.07955851 0.074587658 0.075129630
## 13 0.054019430 0.049098871 0.040929392 0.03222318 0.049643267 0.053728823
## 14 0.108349586 0.039756261 -0.019768053 -0.07232196 -0.000437485 0.012752162
## 15 0.091752407 0.038565378 -0.007056759 -0.04713241 0.006930934 0.016729185
## 16 0.047014671 0.041073948 0.035450266 0.03030574 0.038004589 0.039524021
## 17 0.051456320 0.037129317 0.025902695 0.01645265 0.027673878 0.029457740
## 18 0.099662565 0.027149168 -0.030390249 -0.07912875 -0.020076597 -0.010469868
## 19 0.011606502 0.032999206 0.054590571 0.07481283 0.042873879 0.036323291
## 20 0.083869138 0.020597975 -0.026104867 -0.06419721 -0.023687667 -0.018125445
## 21 0.066475221 0.017102111 -0.016023730 -0.04154820 -0.020372662 -0.018703739
## 22 -0.019274738 0.024784688 0.069594095 0.11167438 0.044822515 0.031056832
## 23 0.076957841 0.007435069 -0.039071949 -0.07483876 -0.045454676 -0.043215598
## 24 0.064887591 0.006104408 -0.030497436 -0.05729476 -0.041006911 -0.041304304
## 25 -0.030628853 0.016843960 0.068017262 0.11701901 0.035891702 0.018730946
## 7 8 9 10 11
## 1 0.031024966 0.006967406 0.122814727 0.0655569631 0.016022432
## 2 0.055019110 0.058717740 0.042891670 0.0505962749 0.057160639
## 3 0.069452988 0.095698160 -0.027822806 0.0330583447 0.085581919
## 4 0.079750247 0.125311985 -0.090776708 0.0158296027 0.107887795
## 5 0.074694053 0.096010608 -0.002746944 0.0458338709 0.087663816
## 6 0.075223036 0.092442150 0.013714873 0.0523779651 0.085612707
## 7 0.072548311 0.076402723 0.062368394 0.0690369669 0.074575666
## 8 0.076402723 0.090032482 0.028955925 0.0588734230 0.084523571
## 9 0.062368394 0.028955925 0.194919052 0.1125914690 0.041110718
## 10 0.069036967 0.058873423 0.112591469 0.0857585012 0.062301801
## 11 0.074575666 0.084523571 0.041110718 0.0623018013 0.080405958
## 12 0.072501832 0.076319952 0.062455591 0.0690404409 0.074506953
## 13 0.063424071 0.057898809 0.088213186 0.0730107672 0.059670205
## 14 0.052461727 0.024845340 0.161141946 0.0935810368 0.034964526
## 15 0.046584340 0.025654955 0.128532755 0.0775612557 0.033358484
## 16 0.043785605 0.040968079 0.055239359 0.0481440978 0.041970065
## 17 0.035634088 0.030962139 0.053077925 0.0421697437 0.032752340
## 18 0.022051211 -0.002247554 0.113468753 0.0563522502 0.007005713
## 19 0.018623867 0.029988067 -0.028462226 0.0006475466 0.026020530
## 20 0.004100365 -0.013917684 0.068601725 0.0280676247 -0.006782950
## 21 -0.007186286 -0.018230536 0.028686451 0.0058685220 -0.013552685
## 22 -0.005994506 0.017720449 -0.104456088 -0.0435978017 0.009457714
## 23 -0.027239728 -0.042665991 0.022672482 -0.0090916814 -0.036116012
## 24 -0.032573750 -0.043143982 -0.002228986 -0.0218602595 -0.038335334
## 25 -0.026269295 0.001911783 -0.144963243 -0.0717087259 -0.007766570
## 12 13 14 15 16 17
## 1 0.031113752 0.054019430 0.108349586 0.091752407 0.04701467 0.05145632
## 2 0.054991319 0.049098871 0.039756261 0.038565378 0.04107395 0.03712932
## 3 0.069335744 0.040929392 -0.019768053 -0.007056759 0.03545027 0.02590269
## 4 0.079558509 0.032223179 -0.072321962 -0.047132408 0.03030574 0.01645265
## 5 0.074587658 0.049643267 -0.000437485 0.006930934 0.03800459 0.02767388
## 6 0.075129630 0.053728823 0.012752162 0.016729185 0.03952402 0.02945774
## 7 0.072501832 0.063424071 0.052461727 0.046584340 0.04378561 0.03563409
## 8 0.076319952 0.057898809 0.024845340 0.025654955 0.04096808 0.03096214
## 9 0.062455591 0.088213186 0.161141946 0.128532755 0.05523936 0.05307792
## 10 0.069040441 0.073010767 0.093581037 0.077561256 0.04814410 0.04216974
## 11 0.074506953 0.059670205 0.034964526 0.033358484 0.04197007 0.03275234
## 12 0.072455521 0.063418041 0.052540046 0.046646660 0.04379099 0.03565405
## 13 0.063418041 0.064248646 0.074877022 0.064072123 0.04563285 0.04055825
## 14 0.052540046 0.074877022 0.135592137 0.110293299 0.05164476 0.05129946
## 15 0.046646660 0.064072123 0.110293299 0.091905041 0.04837379 0.04879604
## 16 0.043790989 0.045632845 0.051644762 0.048373793 0.04158481 0.04094831
## 17 0.035654049 0.040558253 0.051299459 0.048796037 0.04094831 0.04243815
## 18 0.022150097 0.046829691 0.102349290 0.088023367 0.04568307 0.05229376
## 19 0.018608484 0.012241173 -0.011564047 0.003304873 0.03264407 0.03667182
## 20 0.004197112 0.026424402 0.069232801 0.064808468 0.04064919 0.05095351
## 21 -0.007100878 0.010900723 0.038967829 0.043165569 0.03642409 0.04876219
## 22 -0.006025170 -0.019071537 -0.068647948 -0.037238842 0.02443075 0.03316749
## 23 -0.027119052 -0.001743542 0.037556337 0.043784938 0.03479518 0.05234704
## 24 -0.032463587 -0.010469479 0.018382407 0.029921884 0.03225162 0.05061578
## 25 -0.026293694 -0.039778361 -0.097848479 -0.057337736 0.01966607 0.03282531
## 18 19 20 21 22
## 1 0.099662565 0.0116065021 0.083869138 0.066475221 -0.019274738
## 2 0.027149168 0.0329992062 0.020597975 0.017102111 0.024784688
## 3 -0.030390249 0.0545905711 -0.026104867 -0.016023730 0.069594095
## 4 -0.079128749 0.0748128342 -0.064197211 -0.041548201 0.111674378
## 5 -0.020076597 0.0428738792 -0.023687667 -0.020372662 0.044822515
## 6 -0.010469868 0.0363232908 -0.018125445 -0.018703739 0.031056832
## 7 0.022051211 0.0186238672 0.004100365 -0.007186286 -0.005994506
## 8 -0.002247554 0.0299880666 -0.013917684 -0.018230536 0.017720449
## 9 0.113468753 -0.0284622259 0.068601725 0.028686451 -0.104456088
## 10 0.056352250 0.0006475466 0.028067625 0.005868522 -0.043597802
## 11 0.007005713 0.0260205299 -0.006782950 -0.013552685 0.009457714
## 12 0.022150097 0.0186084840 0.004197112 -0.007100878 -0.006025170
## 13 0.046829691 0.0122411731 0.026424402 0.010900723 -0.019071537
## 14 0.102349290 -0.0115640475 0.069232801 0.038967829 -0.068647948
## 15 0.088023367 0.0033048733 0.064808468 0.043165569 -0.037238842
## 16 0.045683069 0.0326440730 0.040649194 0.036424091 0.024430754
## 17 0.052293762 0.0366718220 0.050953506 0.048762187 0.033167492
## 18 0.102656534 0.0187249474 0.092553305 0.079003759 -0.004023130
## 19 0.018724947 0.0747587623 0.043049234 0.062853511 0.113690456
## 20 0.092553305 0.0430492345 0.099933605 0.100105502 0.047649903
## 21 0.079003759 0.0628535112 0.100105502 0.111602226 0.089604941
## 22 -0.004023130 0.1136904563 0.047649903 0.089604941 0.196251303
## 23 0.094838284 0.0730305659 0.125189052 0.141849605 0.111661435
## 24 0.084722405 0.0847164915 0.122965347 0.146369354 0.136371686
## 25 -0.009182023 0.1372455850 0.059867561 0.114977117 0.246391121
## 23 24 25
## 1 0.076957841 0.064887591 -0.030628853
## 2 0.007435069 0.006104408 0.016843960
## 3 -0.039071949 -0.030497436 0.068017262
## 4 -0.074838760 -0.057294755 0.117019013
## 5 -0.045454676 -0.041006911 0.035891702
## 6 -0.043215598 -0.041304304 0.018730946
## 7 -0.027239728 -0.032573750 -0.026269295
## 8 -0.042665991 -0.043143982 0.001911783
## 9 0.022672482 -0.002228986 -0.144963243
## 10 -0.009091681 -0.021860260 -0.071708726
## 11 -0.036116012 -0.038335334 -0.007766570
## 12 -0.027119052 -0.032463587 -0.026293694
## 13 -0.001743542 -0.010469479 -0.039778361
## 14 0.037556337 0.018382407 -0.097848479
## 15 0.043784938 0.029921884 -0.057337736
## 16 0.034795177 0.032251622 0.019666068
## 17 0.052347041 0.050615781 0.032825314
## 18 0.094838284 0.084722405 -0.009182023
## 19 0.073030566 0.084716491 0.137245585
## 20 0.125189052 0.122965347 0.059867561
## 21 0.141849605 0.146369354 0.114977117
## 22 0.111661435 0.136371686 0.246391121
## 23 0.184884528 0.191508609 0.148046027
## 24 0.191508609 0.202238410 0.180122789
## 25 0.148046027 0.180122789 0.314220732#Matriz M
diag(25)*matriz_P->matriz_M
print(matriz_M)## 1 2 3 4 5 6 7
## 1 0.09921513 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 2 0.00000000 0.04732603 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 3 0.00000000 0.00000000 0.1222267 0.0000000 0.0000000 0.0000000 0.00000000
## 4 0.00000000 0.00000000 0.0000000 0.2676534 0.0000000 0.0000000 0.00000000
## 5 0.00000000 0.00000000 0.0000000 0.0000000 0.1087572 0.0000000 0.00000000
## 6 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0963868 0.00000000
## 7 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.07254831
## 8 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 9 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 10 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 11 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 12 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 13 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 14 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 15 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 16 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 17 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 18 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 19 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 20 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 21 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 22 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 23 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 24 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 25 0.00000000 0.00000000 0.0000000 0.0000000 0.0000000 0.0000000 0.00000000
## 8 9 10 11 12 13 14
## 1 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 2 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 3 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 4 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 5 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 6 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 7 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 8 0.09003248 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 9 0.00000000 0.1949191 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 10 0.00000000 0.0000000 0.0857585 0.00000000 0.00000000 0.00000000 0.0000000
## 11 0.00000000 0.0000000 0.0000000 0.08040596 0.00000000 0.00000000 0.0000000
## 12 0.00000000 0.0000000 0.0000000 0.00000000 0.07245552 0.00000000 0.0000000
## 13 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.06424865 0.0000000
## 14 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.1355921
## 15 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 16 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 17 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 18 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 19 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 20 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 21 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 22 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 23 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 24 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 25 0.00000000 0.0000000 0.0000000 0.00000000 0.00000000 0.00000000 0.0000000
## 15 16 17 18 19 20 21
## 1 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 2 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 3 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 4 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 5 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 6 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 7 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 8 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 9 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 10 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 11 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 12 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 13 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 14 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 15 0.09190504 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 16 0.00000000 0.04158481 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 17 0.00000000 0.00000000 0.04243815 0.0000000 0.00000000 0.00000000 0.0000000
## 18 0.00000000 0.00000000 0.00000000 0.1026565 0.00000000 0.00000000 0.0000000
## 19 0.00000000 0.00000000 0.00000000 0.0000000 0.07475876 0.00000000 0.0000000
## 20 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.09993361 0.0000000
## 21 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.1116022
## 22 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 23 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 24 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 25 0.00000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.0000000
## 22 23 24 25
## 1 0.0000000 0.0000000 0.0000000 0.0000000
## 2 0.0000000 0.0000000 0.0000000 0.0000000
## 3 0.0000000 0.0000000 0.0000000 0.0000000
## 4 0.0000000 0.0000000 0.0000000 0.0000000
## 5 0.0000000 0.0000000 0.0000000 0.0000000
## 6 0.0000000 0.0000000 0.0000000 0.0000000
## 7 0.0000000 0.0000000 0.0000000 0.0000000
## 8 0.0000000 0.0000000 0.0000000 0.0000000
## 9 0.0000000 0.0000000 0.0000000 0.0000000
## 10 0.0000000 0.0000000 0.0000000 0.0000000
## 11 0.0000000 0.0000000 0.0000000 0.0000000
## 12 0.0000000 0.0000000 0.0000000 0.0000000
## 13 0.0000000 0.0000000 0.0000000 0.0000000
## 14 0.0000000 0.0000000 0.0000000 0.0000000
## 15 0.0000000 0.0000000 0.0000000 0.0000000
## 16 0.0000000 0.0000000 0.0000000 0.0000000
## 17 0.0000000 0.0000000 0.0000000 0.0000000
## 18 0.0000000 0.0000000 0.0000000 0.0000000
## 19 0.0000000 0.0000000 0.0000000 0.0000000
## 20 0.0000000 0.0000000 0.0000000 0.0000000
## 21 0.0000000 0.0000000 0.0000000 0.0000000
## 22 0.1962513 0.0000000 0.0000000 0.0000000
## 23 0.0000000 0.1848845 0.0000000 0.0000000
## 24 0.0000000 0.0000000 0.2022384 0.0000000
## 25 0.0000000 0.0000000 0.0000000 0.3142207