load("C:/Users/Walter Alemán/Desktop/UES V/ECONOMETRIA/Ejercicios/Ejercicio 3/modelo_estimado.RData")
matriz_X<-model.matrix(modelo_estimado_1)
matriz_XX<-t(matriz_X)%*%matriz_X

# Matriz A
matriz_A<-solve(matriz_XX)%*%t(matriz_X)
print(matriz_A)
##                       1            2            3            4            5
## (Intercept) -0.12023796  0.007496216  0.043732382 -0.019624196 -0.042393783
## poverty     -0.01182361  0.003994776  0.008825494  0.000303668  0.003470064
## single       0.02723384 -0.003960021 -0.013241432  0.003081729  0.001105700
##                        6            7            8            9           10
## (Intercept) -0.013384345  0.086168745  0.020563005  0.051126534 -0.061552737
## poverty     -0.007184049 -0.005862340 -0.005645941  0.005991789 -0.003735449
## single       0.011957829  0.001503614  0.007023918 -0.010326666  0.011869128
##                       11           12           13           14            15
## (Intercept)  0.135718387  0.138007251  0.110339408  0.011807385  4.768337e-02
## poverty     -0.004929205 -0.001636594  0.001368417 -0.001178554 -1.954834e-03
## single      -0.004046260 -0.008393766 -0.009734111  0.002172555 -1.782648e-05
##                        16           17           18           19           20
## (Intercept)  0.0907464740  0.048176786 -0.169254531  0.044486937 -0.008259184
## poverty      0.0007228831  0.009531438  0.010760361 -0.004158321 -0.007294945
## single      -0.0071913968 -0.014522641  0.003128543  0.003038604  0.011644914
##                       21           22           23           24           25
## (Intercept)  0.059181614 -0.063708321  0.092448252  0.038360537 -0.157529384
## poverty     -0.003674172 -0.001148784 -0.001319221  0.003193256  0.008768744
## single       0.001131571  0.008802840 -0.004770642 -0.005676113  0.004600706
##                       26            27           28           29           30
## (Intercept)  0.044620170  0.0304927049  0.166375633  0.118414317  0.128664592
## poverty      0.001720954  0.0005561012  0.000556971 -0.002282127 -0.002503922
## single      -0.004375184 -0.0016612271 -0.013660295 -0.005851051 -0.006476873
##                       31            32           33            34           35
## (Intercept)  0.107937093 -0.1051632730 -0.027965571 -0.0501481154  0.017386353
## poverty     -0.001788055  0.0002829526 -0.007804338  0.0006967702 -0.001834012
## single      -0.005547989  0.0106606021  0.014026244  0.0052819644  0.002505176
##                       36           37           38           39            40
## (Intercept)  0.024252854  0.023645985  0.105327700  0.048817888 -0.0331645748
## poverty      0.008043818 -0.003306313  0.001343172 -0.003316237  0.0044735326
## single      -0.010537327  0.003806104 -0.009259812  0.001596010 -0.0009725754
##                       41           42           43           44            45
## (Intercept)  0.113989696  0.019694998 -0.007198508  0.088571062  0.0750108562
## poverty      0.003027344  0.007474015  0.003510625 -0.002705869 -0.0045514234
## single      -0.012145012 -0.009417501 -0.002052983 -0.002682507  0.0008383681
##                       46           47            48          49            50
## (Intercept)  0.040382842  0.003712695  0.0668225421  0.10491355  0.0464353985
## poverty     -0.005272687 -0.003543426 -0.0007647365  0.01391857 -0.0004572901
## single       0.004803970  0.005864667 -0.0032060825 -0.02505570 -0.0017930470
##                        51
## (Intercept) -0.5219277203
## poverty     -0.0008592616
## single       0.0488974529
# Matriz P
matriz_P<-matriz_X%*%matriz_A
print(matriz_P)
##               1             2             3           4            5
## 1   0.161611077 -0.0127796253 -0.0653080904 0.027207907  0.004995312
## 2  -0.012779625  0.0314650769  0.0450195150 0.021099510  0.030700881
## 3  -0.065308090  0.0450195150  0.0785589509 0.019423663  0.038838489
## 4   0.027207907  0.0210995096  0.0194236628 0.022341212  0.024424173
## 5   0.004995312  0.0307008811  0.0388384889 0.024424173  0.034582636
## 6   0.092237760 -0.0008717607 -0.0291165550 0.020671038  0.005338821
## 7   0.054323132  0.0014555968 -0.0149893805 0.014082445 -0.001730668
## 8   0.069626967  0.0030986911 -0.0171998930 0.018604926  0.005605850
## 9  -0.042019509  0.0366270037  0.0604669926 0.018447422  0.031093776
## 10  0.074183205  0.0099454181 -0.0092620561 0.024537798  0.018826182
## 11  0.033001099  0.0034182300 -0.0061606961 0.010848882 -0.004571400
## 12  0.003083400  0.0130022202  0.0154620904 0.011239145  0.003299178
## 13 -0.016405789  0.0222075842  0.0335527599 0.013630280  0.013568208
## 14  0.032150082  0.0162849295  0.0114826440 0.019945572  0.017514640
## 15  0.029639461  0.0134642545  0.0083959467 0.017363227  0.011882559
## 16 -0.005512265  0.0206235772  0.0282561924 0.014862970  0.014010488
## 17 -0.072760898  0.0470134239  0.0834132808 0.019236959  0.040115944
## 18 -0.026597072  0.0539539932  0.0794281003 0.034310399  0.065690838
## 19  0.050098243  0.0070760900 -0.0061664301 0.017215896  0.006788032
## 20  0.091879085 -0.0012747116 -0.0295575040 0.020302131  0.004534238
## 21  0.041928113  0.0082640934 -0.0021940108 0.016291379  0.006456323
## 22  0.051718351  0.0175354918  0.0075063795 0.025114767  0.025419303
## 23  0.012223150  0.0146314125  0.0150179511 0.014407468  0.008805392
## 24 -0.013749255  0.0286478850  0.0414912433 0.018855703  0.025526380
## 25 -0.011943712  0.0479548814  0.0670730541 0.033177818  0.059570593
## 26 -0.002284283  0.0242501501  0.0322247792 0.018183130  0.021251731
## 27  0.011797679  0.0210647547  0.0238396001 0.018955815  0.019848409
## 28 -0.023898157  0.0189735319  0.0313498957 0.009663407  0.005758814
## 29  0.013976925  0.0114182132  0.0101655228 0.012471835  0.003741458
## 30  0.013259614  0.0106123038  0.0092836039 0.011734023  0.002132290
## 31  0.012329555  0.0130230694  0.0128125179 0.013270384  0.006044635
## 32  0.049858208  0.0223570267  0.0145642200 0.028187487  0.033243991
## 33  0.101590245 -0.0024592395 -0.0339715188 0.021565188  0.005323525
## 34  0.031724585  0.0227182754  0.0203043056 0.024493916  0.028557657
## 35  0.036520858  0.0142840658  0.0075114923 0.019455197  0.015322030
## 36 -0.053232174  0.0430360250  0.0723798179 0.020625989  0.038933762
## 37  0.047985819  0.0098863347 -0.0017549634 0.018782624  0.011047384
## 38 -0.014864749  0.0222110559  0.0331111561 0.013968820  0.014025783
## 39  0.041463070  0.0094694781 -0.0004295475 0.017059559  0.008412495
## 40 -0.006363255  0.0334902728  0.0458995198 0.023959662  0.036096529
## 41 -0.032135147  0.0269978397  0.0445849466 0.013656140  0.017274706
## 42 -0.046961732  0.0414415952  0.0684080408 0.020843060  0.038003315
## 43 -0.004609469  0.0302770697  0.0410470830 0.022024029  0.031032591
## 44  0.025587799  0.0106401078  0.0057508532 0.014442341  0.005792902
## 45  0.045581566  0.0054573242 -0.0070470730 0.015063192  0.002654548
## 46  0.061098162  0.0038837436 -0.0136684226 0.017311502  0.004469558
## 47  0.055332259  0.0095007613 -0.0044038810 0.020106415  0.012530684
## 48  0.014016459  0.0166461782  0.0172227295 0.016252001  0.012828306
## 49 -0.126724035  0.0589560548  0.1151889082 0.016085484  0.045035222
## 50  0.016633486  0.0178585101  0.0181039936 0.017697261  0.015699630
## 51  0.169486584  0.0254418356 -0.0159102166 0.056498849  0.073651878
##                6            7            8            9           10
## 1   0.0922377599  0.054323132  0.069626967 -0.042019509  0.074183205
## 2  -0.0008717607  0.001455597  0.003098691  0.036627004  0.009945418
## 3  -0.0291165550 -0.014989380 -0.017199893  0.060466993 -0.009262056
## 4   0.0206710383  0.014082445  0.018604926  0.018447422  0.024537798
## 5   0.0053388207 -0.001730668  0.005605850  0.031093776  0.018826182
## 6   0.0601833060  0.046325314  0.049657601 -0.014507419  0.045082769
## 7   0.0463253143  0.051525360  0.043514080 -0.002242589  0.026574141
## 8   0.0496576009  0.043514080  0.043047070 -0.005481207  0.035653735
## 9  -0.0145074185 -0.002242589 -0.005481207  0.048317713 -0.002230971
## 10  0.0450827691  0.026574141  0.035653735 -0.002230971  0.042317361
## 11  0.0379595101  0.052952915  0.039313133  0.005088182  0.016572738
## 12  0.0202404094  0.039319171  0.025625073  0.019901969  0.006794286
## 13  0.0061039860  0.023656425  0.013328397  0.031515647  0.002269591
## 14  0.0264276188  0.023732484  0.024553262  0.013858209  0.024140123
## 15  0.0281148133  0.030887233  0.027540841  0.012698365  0.021061366
## 16  0.0108871129  0.024257870  0.016137961  0.027384984  0.007017238
## 17 -0.0331859478 -0.017484675 -0.020160655  0.063896367 -0.011943140
## 18 -0.0248715863 -0.046193174 -0.023833459  0.055442446  0.016681405
## 19  0.0400866623  0.039831103  0.036712140  0.002678021  0.027851446
## 20  0.0604243269  0.047347419  0.050084394 -0.014673105  0.044642941
## 21  0.0364993229  0.039380020  0.034604970  0.005776013  0.024290717
## 22  0.0314330794  0.015435698  0.024926450  0.009153426  0.035220009
## 23  0.0216631859  0.033051380  0.024606872  0.018397301  0.012620412
## 24  0.0012927954  0.008174465  0.006224056  0.035033686  0.007680018
## 25 -0.0150502752 -0.036527926 -0.015640148  0.047321742  0.020657841
## 26  0.0087178833  0.015058917  0.012296802  0.028876195  0.010975654
## 27  0.0158972585  0.018441171  0.017226949  0.022782299  0.016404119
## 28  0.0066000667  0.033140898  0.016329375  0.031490581 -0.003689098
## 29  0.0250235363  0.039920616  0.028434638  0.015771307  0.011541933
## 30  0.0255055964  0.041964833  0.029288235  0.015439919  0.010662291
## 31  0.0231046860  0.036703939  0.026451865  0.017301036  0.011674500
## 32  0.0266312472  0.004913909  0.019253703  0.012875670  0.037244415
## 33  0.0644890461  0.047362628  0.052329362 -0.018204586  0.049017041
## 34  0.0206616799  0.009122273  0.017173332  0.018243217  0.027923819
## 35  0.0295422633  0.027099528  0.027238434  0.011295804  0.025194476
## 36 -0.0236150092 -0.013801698 -0.013825726  0.055737139 -0.004140852
## 37  0.0369673443  0.033983974  0.033311174  0.005138319  0.028490109
## 38  0.0065813727  0.023220557  0.013466200  0.031082152  0.003082966
## 39  0.0352988620  0.036749573  0.033186782  0.006706576  0.024796816
## 40 -0.0006447671 -0.004962560  0.001378097  0.036155002  0.014584634
## 41 -0.0029942508  0.017057493  0.006415471  0.039139282 -0.003026318
## 42 -0.0202640241 -0.011892640 -0.011429560  0.052906946 -0.001833314
## 43  0.0027155901  0.001906681  0.005205868  0.033529002  0.013506159
## 44  0.0293246212  0.038477851  0.030390617  0.011972017  0.017169236
## 45  0.0400960207  0.044791276  0.038143735  0.002882226  0.024465426
## 46  0.0463112824  0.044085102  0.041366692 -0.002548901  0.031653178
## 47  0.0395952552  0.032826716  0.034426956  0.002805195  0.032117120
## 48  0.0204580515  0.027940847  0.022472891  0.019225757  0.014819527
## 49 -0.0604666469 -0.029841231 -0.038752062  0.087073601 -0.032909916
## 50  0.0202123570  0.024438657  0.021330304  0.019289336  0.016952371
## 51  0.0612247882 -0.035367152  0.026738755 -0.018909558  0.102139135
##              11           12            13          14            15
## 1   0.033001099  0.003083400 -0.0164057895 0.032150082  0.0296394607
## 2   0.003418230  0.013002220  0.0222075842 0.016284930  0.0134642545
## 3  -0.006160696  0.015462090  0.0335527599 0.011482644  0.0083959467
## 4   0.010848882  0.011239145  0.0136302797 0.019945572  0.0173632265
## 5  -0.004571400  0.003299178  0.0135682081 0.017514640  0.0118825586
## 6   0.037959510  0.020240409  0.0061039860 0.026427619  0.0281148133
## 7   0.052952915  0.039319171  0.0236564253 0.023732484  0.0308872331
## 8   0.039313133  0.025625073  0.0133283967 0.024553262  0.0275408413
## 9   0.005088182  0.019901969  0.0315156470 0.013858209  0.0126983655
## 10  0.016572738  0.006794286  0.0022695914 0.024140123  0.0210613665
## 11  0.059463778  0.048531233  0.0327063281 0.022149205  0.0318824765
## 12  0.048531233  0.045606447  0.0368271023 0.019221275  0.0273881407
## 13  0.032706328  0.036827102  0.0357916146 0.017007601  0.0219056920
## 14  0.022149205  0.019221275  0.0170076006 0.020763434  0.0208926221
## 15  0.031882477  0.027388141  0.0219056920 0.020892622  0.0236418693
## 16  0.031087826  0.033469599  0.0318979738 0.017876622  0.0218985614
## 17 -0.007727752  0.015646825  0.0350735318 0.010793969  0.0076157965
## 18 -0.054701898 -0.030265921  0.0014273628 0.013064630 -0.0041898611
## 19  0.038871660  0.029003659  0.0188796609 0.022877707  0.0265723376
## 20  0.039349978  0.021407108  0.0068037177 0.026446073  0.0285075624
## 21  0.040085535  0.031521783  0.0217998869 0.022225942  0.0265776855
## 22  0.007207250  0.003684759  0.0048695833 0.021900870  0.0173471827
## 23  0.038481633  0.035924490  0.0298453483 0.019644453  0.0248308123
## 24  0.012253950  0.020166053  0.0262691136 0.016513515  0.0160162331
## 25 -0.045513004 -0.025804963  0.0010478759 0.014633660 -0.0008630804
## 26  0.018573624  0.022969338  0.0256004177 0.017710526  0.0183638179
## 27  0.019824348  0.021269504  0.0219959740 0.018951570  0.0193358870
## 28  0.046522708  0.049169776  0.0438991476 0.016857042  0.0256394868
## 29  0.046912731  0.042248944  0.0329334615 0.020090296  0.0273810101
## 30  0.049693667  0.044582334  0.0343329143 0.020127207  0.0281665101
## 31  0.043145955  0.039588230  0.0318076813 0.019817677  0.0262045455
## 32 -0.005888169 -0.006303442 -0.0001808736 0.021281807  0.0134232536
## 33  0.037238553  0.017885945  0.0030469192 0.027197238  0.0283049477
## 34  0.003491924  0.004566297  0.0091582355 0.020070549  0.0153976967
## 35  0.025511358  0.021042611  0.0171599647 0.021253310  0.0220673058
## 36 -0.007286280  0.012268239  0.0295222676 0.012469523  0.0085843002
## 37  0.031831027  0.023845895  0.0164912701 0.022450321  0.0244148889
## 38  0.031808783  0.035824064  0.0349550407 0.017107002  0.0217084271
## 39  0.036811682  0.029024734  0.0205372750 0.022071176  0.0255967032
## 40 -0.006226751  0.004159633  0.0161992371 0.016490852  0.0109087069
## 41  0.027688833  0.035866230  0.0382702874 0.015493935  0.0197571584
## 42 -0.006212146  0.011919844  0.0281383380 0.013040343  0.0091689663
## 43  0.002204351  0.010484089  0.0192873490 0.016936696  0.0134589066
## 44  0.042513293  0.036558045  0.0276403573 0.020922409  0.0265883814
## 45  0.046228619  0.035676507  0.0233517051 0.022752730  0.0285378674
## 46  0.041917475  0.029309895  0.0169483544 0.023919951  0.0279389383
## 47  0.028733762  0.019997413  0.0130081546 0.022965776  0.0238213077
## 48  0.031529298  0.030091013  0.0263467097 0.019552176  0.0228670652
## 49 -0.011744812  0.022773480  0.0492176249 0.006065502  0.0041184849
## 50  0.026460349  0.025587887  0.0234109512 0.019596212  0.0214915512
## 51 -0.083834974 -0.090701039 -0.0686582458 0.028707029 -0.0043182118
##              16           17           18           19           20
## 1  -0.005512265 -0.072760898 -0.026597072  0.050098243  0.091879085
## 2   0.020623577  0.047013424  0.053953993  0.007076090 -0.001274712
## 3   0.028256192  0.083413281  0.079428100 -0.006166430 -0.029557504
## 4   0.014862970  0.019236959  0.034310399  0.017215896  0.020302131
## 5   0.014010488  0.040115944  0.065690838  0.006788032  0.004534238
## 6   0.010887113 -0.033185948 -0.024871586  0.040086662  0.060424327
## 7   0.024257870 -0.017484675 -0.046193174  0.039831103  0.047347419
## 8   0.016137961 -0.020160655 -0.023833459  0.036712140  0.050084394
## 9   0.027384984  0.063896367  0.055442446  0.002678021 -0.014673105
## 10  0.007017238 -0.011943140  0.016681405  0.027851446  0.044642941
## 11  0.031087826 -0.007727752 -0.054701898  0.038871660  0.039349978
## 12  0.033469599  0.015646825 -0.030265921  0.029003659  0.021407108
## 13  0.031897974  0.035073532  0.001427363  0.018879661  0.006803718
## 14  0.017876622  0.010793969  0.013064630  0.022877707  0.026446073
## 15  0.021898561  0.007615796 -0.004189861  0.026572338  0.028507562
## 16  0.029021418  0.029264481  0.002678779  0.020095101  0.011461679
## 17  0.029264481  0.088678108  0.083419388 -0.008133616 -0.033639964
## 18  0.002678779  0.083419388  0.161434287 -0.020017550 -0.027336512
## 19  0.020095101 -0.008133616 -0.020017550  0.033113678  0.040614464
## 20  0.011461679 -0.033639964 -0.027336512  0.040614464  0.060718819
## 21  0.022252515 -0.003776834 -0.020956111  0.032202099  0.037120999
## 22  0.008390716  0.006166587  0.037126086  0.019950638  0.030782549
## 23  0.027937093  0.014967325 -0.013461762  0.026332583  0.022404096
## 24  0.023998670  0.043336153  0.038088405  0.010658741  0.001221758
## 25  0.002888156  0.070120480  0.142515978 -0.013556129 -0.017264095
## 26  0.023850346  0.033350676  0.024863111  0.015344871  0.008811213
## 27  0.021331484  0.024228162  0.020421494  0.018335613  0.015952162
## 28  0.038435035  0.032938706 -0.022458728  0.023438008  0.007854707
## 29  0.030593043  0.009837774 -0.029014505  0.030219100  0.026065069
## 30  0.031742168  0.008929719 -0.033944364  0.031274710  0.026654070
## 31  0.029588488  0.012652092 -0.021932584  0.028331832  0.024017098
## 32  0.004083363  0.013611347  0.061149643  0.014064879  0.025508592
## 33  0.008657411 -0.038495867 -0.025009056  0.041414071  0.064647282
## 34  0.011271019  0.020054820  0.046947884  0.014880735  0.019994128
## 35  0.018162034  0.006527372  0.006295554  0.025068840  0.029658547
## 36  0.025307341  0.076651069  0.079603479 -0.004535153 -0.024170035
## 37  0.018013710 -0.003458095 -0.006929730  0.029754966  0.037247994
## 38  0.031251119  0.034574400  0.002816248  0.018767693  0.007238723
## 39  0.021175678 -0.001915641 -0.014950222  0.030730659  0.035802507
## 40  0.015810207  0.047786188  0.070445310  0.004101151 -0.001442215
## 41  0.033412287  0.047010377  0.012950898  0.014001648 -0.002385213
## 42  0.024371341  0.072339389  0.076688232 -0.002983801 -0.020817072
## 43  0.018466157  0.042656629  0.054892557  0.007987672  0.002218765
## 44  0.026567356  0.004936756 -0.022833238  0.030378936  0.030134046
## 45  0.023687052 -0.008951477 -0.032655035  0.035448839  0.040922467
## 46  0.018869941 -0.016257890 -0.027236945  0.036328364  0.046885420
## 47  0.015354019 -0.006407713 -0.002450203  0.029722909  0.039717471
## 48  0.025064278  0.017237442 -0.001137130  0.023693564  0.020931608
## 49  0.039195353  0.123261887  0.099033795 -0.019264925 -0.060744778
## 50  0.022693733  0.018100381  0.007646540  0.021998183  0.020483120
## 51 -0.049099283 -0.021143638  0.183959802  0.001860398  0.056506876
##               21           22           23           24            25
## 1   0.0419281127  0.051718351  0.012223150 -0.013749255 -0.0119437117
## 2   0.0082640934  0.017535492  0.014631413  0.028647885  0.0479548814
## 3  -0.0021940108  0.007506379  0.015017951  0.041491243  0.0670730541
## 4   0.0162913794  0.025114767  0.014407468  0.018855703  0.0331778182
## 5   0.0064563227  0.025419303  0.008805392  0.025526380  0.0595705928
## 6   0.0364993229  0.031433079  0.021663186  0.001292795 -0.0150502752
## 7   0.0393800202  0.015435698  0.033051380  0.008174465 -0.0365279257
## 8   0.0346049704  0.024926450  0.024606872  0.006224056 -0.0156401479
## 9   0.0057760130  0.009153426  0.018397301  0.035033686  0.0473217421
## 10  0.0242907171  0.035220009  0.012620412  0.007680018  0.0206578411
## 11  0.0400855353  0.007207250  0.038481633  0.012253950 -0.0455130038
## 12  0.0315217825  0.003684759  0.035924490  0.020166053 -0.0258049627
## 13  0.0217998869  0.004869583  0.029845348  0.026269114  0.0010478759
## 14  0.0222259425  0.021900870  0.019644453  0.016513515  0.0146336599
## 15  0.0265776855  0.017347183  0.024830812  0.016016233 -0.0008630804
## 16  0.0222525147  0.008390716  0.027937093  0.023998670  0.0028881565
## 17 -0.0037768344  0.006166587  0.014967325  0.043336153  0.0701204805
## 18 -0.0209561105  0.037126086 -0.013461762  0.038088405  0.1425159781
## 19  0.0322020992  0.019950638  0.026332583  0.010658741 -0.0135561288
## 20  0.0371209990  0.030782549  0.022404096  0.001221758 -0.0172640947
## 21  0.0318626289  0.017309793  0.027763772  0.012361571 -0.0149363370
## 22  0.0173097926  0.033037319  0.010113892  0.013747203  0.0373184518
## 23  0.0277637720  0.010113892  0.029915925  0.019208787 -0.0102649599
## 24  0.0123615708  0.013747203  0.019208787  0.027902325  0.0337950952
## 25 -0.0149363370  0.037318452 -0.010264960  0.033795095  0.1266889826
## 26  0.0166574230  0.014245466  0.021268915  0.024638023  0.0228125274
## 27  0.0188339802  0.017460712  0.020497332  0.021338560  0.0198083680
## 28  0.0275360867 -0.002630853  0.037599578  0.026445652 -0.0206735215
## 29  0.0319744104  0.007205892  0.034016235  0.017895610 -0.0239646821
## 30  0.0332177672  0.005904840  0.035498051  0.017753527 -0.0283923251
## 31  0.0299962246  0.008277196  0.032270570  0.018676335 -0.0177832958
## 32  0.0108667063  0.037782025  0.003658934  0.015592823  0.0585365059
## 33  0.0372062083  0.034188802  0.020363918 -0.000729358 -0.0145469363
## 34  0.0132961496  0.029247682  0.010225864  0.018643294  0.0447069834
## 35  0.0243172893  0.021709854  0.020913052  0.015165174  0.0089123377
## 36 -0.0013739633  0.011142399  0.013241614  0.038901468  0.0680364614
## 37  0.0286131381  0.022208116  0.022973179  0.011900875 -0.0020702217
## 38  0.0215456293  0.005634993  0.029236361  0.026020824  0.0023848176
## 39  0.0302518570  0.018495967  0.026150034  0.012822977 -0.0096318246
## 40  0.0043929230  0.023084345  0.009099908  0.028258230  0.0630348246
## 41  0.0176451427  0.002725634  0.028871272  0.030349307  0.0102334172
## 42 -0.0001585582  0.012367312  0.013160318  0.037375885  0.0658659127
## 43  0.0086035648  0.020176345  0.013200219  0.026945050  0.0493350940
## 44  0.0311836860  0.012028085  0.030626159  0.015767241 -0.0176967624
## 45  0.0351973290  0.015817723  0.030514187  0.010871150 -0.0250852940
## 46  0.0348871761  0.021635074  0.026778972  0.007855849 -0.0192341757
## 47  0.0279635137  0.025384613  0.020669157  0.010588409  0.0024006838
## 48  0.0246553858  0.013366528  0.026211383  0.019563986  0.0008041373
## 49 -0.0117482331 -0.006464639  0.018317499  0.055895357  0.0803833795
## 50  0.0225360954  0.016083520  0.023379668  0.019528816  0.0087825417
## 51 -0.0128088006  0.100506538 -0.047810391 -0.002779615  0.1756410645
##              26          27           28           29           30
## 1  -0.002284283 0.011797679 -0.023898157  0.013976925  0.013259614
## 2   0.024250150 0.021064755  0.018973532  0.011418213  0.010612304
## 3   0.032224779 0.023839600  0.031349896  0.010165523  0.009283604
## 4   0.018183130 0.018955815  0.009663407  0.012471835  0.011734023
## 5   0.021251731 0.019848409  0.005758814  0.003741458  0.002132290
## 6   0.008717883 0.015897258  0.006600067  0.025023536  0.025505596
## 7   0.015058917 0.018441171  0.033140898  0.039920616  0.041964833
## 8   0.012296802 0.017226949  0.016329375  0.028434638  0.029288235
## 9   0.028876195 0.022782299  0.031490581  0.015771307  0.015439919
## 10  0.010975654 0.016404119 -0.003689098  0.011541933  0.010662291
## 11  0.018573624 0.019824348  0.046522708  0.046912731  0.049693667
## 12  0.022969338 0.021269504  0.049169776  0.042248944  0.044582334
## 13  0.025600418 0.021995974  0.043899148  0.032933462  0.034332914
## 14  0.017710526 0.018951570  0.016857042  0.020090296  0.020127207
## 15  0.018363818 0.019335887  0.025639487  0.027381010  0.028166510
## 16  0.023850346 0.021331484  0.038435035  0.030593043  0.031742168
## 17  0.033350676 0.024228162  0.032938706  0.009837774  0.008929719
## 18  0.024863111 0.020421494 -0.022458728 -0.029014505 -0.033944364
## 19  0.015344871 0.018335613  0.023438008  0.030219100  0.031274710
## 20  0.008811213 0.015952162  0.007854707  0.026065069  0.026654070
## 21  0.016657423 0.018833980  0.027536087  0.031974410  0.033217767
## 22  0.014245466 0.017460712 -0.002630853  0.007205892  0.005904840
## 23  0.021268915 0.020497332  0.037599578  0.034016235  0.035498051
## 24  0.024638023 0.021338560  0.026445652  0.017895610  0.017753527
## 25  0.022812527 0.019808368 -0.020673522 -0.023964682 -0.028392325
## 26  0.023010393 0.020837360  0.027143308  0.021219266  0.021405920
## 27  0.020837360 0.020060941  0.022766732  0.020605014  0.020714818
## 28  0.027143308 0.022766732  0.057867232  0.043705663  0.046214931
## 29  0.021219266 0.020605014  0.043705663  0.039908526  0.041991588
## 30  0.021405920 0.020714818  0.046214931  0.041991588  0.044288531
## 31  0.021376798 0.020606427  0.041307776  0.037369036  0.039193856
## 32  0.014187226 0.017243932 -0.012445150 -0.002039205 -0.004284505
## 33  0.007233237 0.015343282  0.002446292  0.023496437  0.023812930
## 34  0.017278976 0.018515181  0.002024209  0.006679081  0.005343980
## 35  0.017115473 0.018784033  0.017888894  0.022044680  0.022277252
## 36  0.030302607 0.023119498  0.025830072  0.008053313  0.006943244
## 37  0.015487845 0.018282833  0.018586551  0.025368335  0.025929642
## 38  0.025334992 0.021885460  0.042588810  0.032120143  0.033434834
## 39  0.016642864 0.018779786  0.025082516  0.029663138  0.030670433
## 40  0.022987244 0.020458705  0.008769356  0.003770603  0.002175702
## 41  0.027930986 0.022773808  0.045877850  0.031008230  0.032226291
## 42  0.029348806 0.022786546  0.024296960  0.008152847  0.007046736
## 43  0.022937594 0.020566386  0.014875441  0.009662897  0.008669241
## 44  0.019282535 0.019830717  0.035732269  0.035485043  0.037103893
## 45  0.016249025 0.018776247  0.031077207  0.036011854  0.037664753
## 46  0.013702684 0.017780219  0.021682094  0.031231481  0.032379766
## 47  0.014254059 0.017785173  0.013289529  0.022343278  0.022587718
## 48  0.020802277 0.020222820  0.031326401  0.028808582  0.029755693
## 49  0.041698619 0.027222619  0.050333619  0.012751208  0.012194908
## 50  0.020256868 0.019947599  0.026252155  0.024870669  0.025412194
## 51 -0.006638218 0.008460658 -0.120812865 -0.071142077 -0.080577853
##               31            32           33          34           35
## 1   0.0123295548  0.0498582078  0.101590245 0.031724585 0.0365208582
## 2   0.0130230694  0.0223570267 -0.002459239 0.022718275 0.0142840658
## 3   0.0128125179  0.0145642200 -0.033971519 0.020304306 0.0075114923
## 4   0.0132703840  0.0281874867  0.021565188 0.024493916 0.0194551966
## 5   0.0060446349  0.0332439912  0.005323525 0.028557657 0.0153220299
## 6   0.0231046860  0.0266312472  0.064489046 0.020661680 0.0295422633
## 7   0.0367039393  0.0049139095  0.047362628 0.009122273 0.0270995277
## 8   0.0264518654  0.0192537035  0.052329362 0.017173332 0.0272384342
## 9   0.0173010357  0.0128756699 -0.018204586 0.018243217 0.0112958043
## 10  0.0116745000  0.0372444146  0.049017041 0.027923819 0.0251944763
## 11  0.0431459553 -0.0058881689  0.037238553 0.003491924 0.0255113578
## 12  0.0395882297 -0.0063034421  0.017885945 0.004566297 0.0210426110
## 13  0.0318076813 -0.0001808736  0.003046919 0.009158236 0.0171599647
## 14  0.0198176767  0.0212818069  0.027197238 0.020070549 0.0212533105
## 15  0.0262045455  0.0134232536  0.028304948 0.015397697 0.0220673058
## 16  0.0295884880  0.0040833632  0.008657411 0.011271019 0.0181620341
## 17  0.0126520923  0.0136113469 -0.038495867 0.020054820 0.0065273720
## 18 -0.0219325838  0.0611496435 -0.025009056 0.046947884 0.0062955538
## 19  0.0283318322  0.0140648787  0.041414071 0.014880735 0.0250688402
## 20  0.0240170976  0.0255085924  0.064647282 0.019994128 0.0296585468
## 21  0.0299962246  0.0108667063  0.037206208 0.013296150 0.0243172893
## 22  0.0082771964  0.0377820245  0.034188802 0.029247682 0.0217098540
## 23  0.0322705703  0.0036589342  0.020363918 0.010225864 0.0209130523
## 24  0.0186763347  0.0155928232 -0.000729358 0.018643294 0.0151651736
## 25 -0.0177832958  0.0585365059 -0.014546936 0.044706983 0.0089123377
## 26  0.0213767976  0.0141872257  0.007233237 0.017278976 0.0171154734
## 27  0.0206064274  0.0172439320  0.015343282 0.018515181 0.0187840328
## 28  0.0413077762 -0.0124451501  0.002446292 0.002024209 0.0178888943
## 29  0.0373690363 -0.0020392053  0.023496437 0.006679081 0.0220446804
## 30  0.0391938560 -0.0042845049  0.023812930 0.005343980 0.0222772516
## 31  0.0351866025  0.0002626947  0.021619098 0.008153539 0.0214453113
## 32  0.0002626947  0.0468764135  0.029801125 0.034866795 0.0200459709
## 33  0.0216190981  0.0298011246  0.069477338 0.022176589 0.0304772143
## 34  0.0081535391  0.0348667945  0.022176589 0.028359862 0.0191242886
## 35  0.0214453113  0.0200459709  0.030477214 0.019124289 0.0221031999
## 36  0.0107721254  0.0188001716 -0.027580576 0.022347417 0.0086969660
## 37  0.0241457725  0.0186403737  0.038439802 0.017759971 0.0240534980
## 38  0.0310740758  0.0009134858  0.003669120 0.009756111 0.0172270831
## 39  0.0279926005  0.0131403010  0.036109285 0.014700927 0.0239013180
## 40  0.0062602041  0.0312533492 -0.001383890 0.027849650 0.0139039891
## 41  0.0303956229 -0.0009356901 -0.006940478 0.009396484 0.0148920338
## 42  0.0107537449  0.0197813401 -0.023836665 0.022666580 0.0094976844
## 43  0.0113586718  0.0255552094  0.001748636 0.024302866 0.0150356190
## 44  0.0333250198  0.0044703410  0.028790456 0.010126969 0.0228141828
## 45  0.0334486771  0.0073855710  0.040802670 0.011014789 0.0253997482
## 46  0.0290286694  0.0149328762  0.048279736 0.014921194 0.0266031669
## 47  0.0213901624  0.0229894963  0.041708991 0.020081786 0.0245053634
## 48  0.0277085212  0.0092721879  0.019572702 0.013563616 0.0203316281
## 49  0.0160911819  0.0013279314 -0.069375188 0.014970646 0.0002199351
## 50  0.0242376845  0.0137345016  0.019720173 0.016164144 0.0200498918
## 51 -0.0618781056  0.1379059865  0.075979912 0.084978031 0.0243328225
##               36            37            38            39            40
## 1  -5.323217e-02  4.798582e-02 -0.0148647495  0.0414630703 -0.0063632555
## 2   4.303602e-02  9.886335e-03  0.0222110559  0.0094694781  0.0334902728
## 3   7.237982e-02 -1.754963e-03  0.0331111561 -0.0004295475  0.0458995198
## 4   2.062599e-02  1.878262e-02  0.0139688204  0.0170595586  0.0239596621
## 5   3.893376e-02  1.104738e-02  0.0140257830  0.0084124945  0.0360965286
## 6  -2.361501e-02  3.696734e-02  0.0065813727  0.0352988620 -0.0006447671
## 7  -1.380170e-02  3.398397e-02  0.0232205566  0.0367495729 -0.0049625601
## 8  -1.382573e-02  3.331117e-02  0.0134662003  0.0331867822  0.0013780971
## 9   5.573714e-02  5.138319e-03  0.0310821519  0.0067065763  0.0361550017
## 10 -4.140852e-03  2.849011e-02  0.0030829660  0.0247968158  0.0145846344
## 11 -7.286280e-03  3.183103e-02  0.0318087828  0.0368116815 -0.0062267510
## 12  1.226824e-02  2.384589e-02  0.0358240642  0.0290247343  0.0041596327
## 13  2.952227e-02  1.649127e-02  0.0349550407  0.0205372750  0.0161992371
## 14  1.246952e-02  2.245032e-02  0.0171070022  0.0220711761  0.0164908525
## 15  8.584300e-03  2.441489e-02  0.0217084271  0.0255967032  0.0109087069
## 16  2.530734e-02  1.801371e-02  0.0312511193  0.0211756783  0.0158102073
## 17  7.665107e-02 -3.458095e-03  0.0345744004 -0.0019156411  0.0477861881
## 18  7.960348e-02 -6.929730e-03  0.0028162483 -0.0149502220  0.0704453099
## 19 -4.535153e-03  2.975497e-02  0.0187676927  0.0307306588  0.0041011511
## 20 -2.417003e-02  3.724799e-02  0.0072387233  0.0358025071 -0.0014422148
## 21 -1.373963e-03  2.861314e-02  0.0215456293  0.0302518570  0.0043929230
## 22  1.114240e-02  2.220812e-02  0.0056349928  0.0184959668  0.0230843446
## 23  1.324161e-02  2.297318e-02  0.0292363608  0.0261500338  0.0090999084
## 24  3.890147e-02  1.190088e-02  0.0260208239  0.0128229771  0.0282582295
## 25  6.803646e-02 -2.070222e-03  0.0023848176 -0.0096318246  0.0630348246
## 26  3.030261e-02  1.548784e-02  0.0253349920  0.0166428640  0.0229872440
## 27  2.311950e-02  1.828283e-02  0.0218854604  0.0187797857  0.0204587049
## 28  2.583007e-02  1.858655e-02  0.0425888096  0.0250825157  0.0087693560
## 29  8.053313e-03  2.536833e-02  0.0321201428  0.0296631376  0.0037706029
## 30  6.943244e-03  2.592964e-02  0.0334348338  0.0306704326  0.0021757022
## 31  1.077213e-02  2.414577e-02  0.0310740758  0.0279926005  0.0062602041
## 32  1.880017e-02  1.864037e-02  0.0009134858  0.0131403010  0.0312533492
## 33 -2.758058e-02  3.843980e-02  0.0036691196  0.0361092855 -0.0013838897
## 34  2.234742e-02  1.775997e-02  0.0097561106  0.0147009265  0.0278496499
## 35  8.696966e-03  2.405350e-02  0.0172270831  0.0239013180  0.0139039891
## 36  6.736050e-02  9.811276e-05  0.0292729081  0.0005404823  0.0450631341
## 37  9.811276e-05  2.764046e-02  0.0165412525  0.0277212016  0.0086330079
## 38  2.927291e-02  1.654125e-02  0.0341633724  0.0203652548  0.0165493298
## 39  5.404823e-04  2.772120e-02  0.0203652548  0.0289129402  0.0064351744
## 40  4.506313e-02  8.633008e-03  0.0165493298  0.0064351744  0.0385278098
## 41  3.942420e-02  1.247372e-02  0.0373585142  0.0167298146  0.0212173782
## 42  6.389363e-02  1.470612e-03  0.0279439815  0.0016949509  0.0436238207
## 43  3.987482e-02  1.102817e-02  0.0194331105  0.0099482813  0.0331985000
## 44  4.948437e-03  2.632947e-02  0.0271015202  0.0292942505  0.0049764686
## 45 -6.256581e-03  3.077762e-02  0.0229804025  0.0330892908  0.0002111632
## 46 -1.121956e-02  3.245000e-02  0.0169014875  0.0332116256  0.0008724212
## 47 -1.703667e-03  2.817101e-02  0.0132402830  0.0273647332  0.0095860387
## 48  1.601677e-02  2.156992e-02  0.0259496270  0.0236318017  0.0130871533
## 49  1.037748e-01 -1.397679e-02  0.0481038940 -0.0098000845  0.0570056431
## 50  1.743250e-02  2.077794e-02  0.0231859171  0.0219488413  0.0158295945
## 51  3.734719e-03  2.047422e-02 -0.0638544075 -0.0034589501  0.0634427661
##               41            42           43           44            45
## 1  -0.0321351475 -4.696173e-02 -0.004609469  0.025587799  0.0455815656
## 2   0.0269978397  4.144160e-02  0.030277070  0.010640108  0.0054573242
## 3   0.0445849466  6.840804e-02  0.041047083  0.005750853 -0.0070470730
## 4   0.0136561402  2.084306e-02  0.022024029  0.014442341  0.0150631921
## 5   0.0172747063  3.800331e-02  0.031032591  0.005792902  0.0026545484
## 6  -0.0029942508 -2.026402e-02  0.002715590  0.029324621  0.0400960207
## 7   0.0170574929 -1.189264e-02  0.001906681  0.038477851  0.0447912755
## 8   0.0064154706 -1.142956e-02  0.005205868  0.030390617  0.0381437345
## 9   0.0391392822  5.290695e-02  0.033529002  0.011972017  0.0028822256
## 10 -0.0030263180 -1.833314e-03  0.013506159  0.017169236  0.0244654258
## 11  0.0276888329 -6.212146e-03  0.002204351  0.042513293  0.0462286191
## 12  0.0358662301  1.191984e-02  0.010484089  0.036558045  0.0356765073
## 13  0.0382702874  2.813834e-02  0.019287349  0.027640357  0.0233517051
## 14  0.0154939355  1.304034e-02  0.016936696  0.020922409  0.0227527296
## 15  0.0197571584  9.168966e-03  0.013458907  0.026588381  0.0285378674
## 16  0.0334122873  2.437134e-02  0.018466157  0.026567356  0.0236870520
## 17  0.0470103772  7.233939e-02  0.042656629  0.004936756 -0.0089514769
## 18  0.0129508981  7.668823e-02  0.054892557 -0.022833238 -0.0326550350
## 19  0.0140016484 -2.983801e-03  0.007987672  0.030378936  0.0354488388
## 20 -0.0023852131 -2.081707e-02  0.002218765  0.030134046  0.0409224674
## 21  0.0176451427 -1.585582e-04  0.008603565  0.031183686  0.0351973290
## 22  0.0027256341  1.236731e-02  0.020176345  0.012028085  0.0158177231
## 23  0.0288712715  1.316032e-02  0.013200219  0.030626159  0.0305141871
## 24  0.0303493068  3.737589e-02  0.026945050  0.015767241  0.0108711499
## 25  0.0102334172  6.586591e-02  0.049335094 -0.017696762 -0.0250852940
## 26  0.0279309862  2.934881e-02  0.022937594  0.019282535  0.0162490251
## 27  0.0227738083  2.278655e-02  0.020566386  0.019830717  0.0187762474
## 28  0.0458778502  2.429696e-02  0.014875441  0.035732269  0.0310772069
## 29  0.0310082300  8.152847e-03  0.009662897  0.035485043  0.0360118543
## 30  0.0322262908  7.046736e-03  0.008669241  0.037103893  0.0376647528
## 31  0.0303956229  1.075374e-02  0.011358672  0.033325020  0.0334486771
## 32 -0.0009356901  1.978134e-02  0.025555209  0.004470341  0.0073855710
## 33 -0.0069404777 -2.383666e-02  0.001748636  0.028790456  0.0408026702
## 34  0.0093964838  2.266658e-02  0.024302866  0.010126969  0.0110147891
## 35  0.0148920338  9.497684e-03  0.015035619  0.022814183  0.0253997482
## 36  0.0394241994  6.389363e-02  0.039874825  0.004948437 -0.0062565812
## 37  0.0124737161  1.470612e-03  0.011028167  0.026329474  0.0307776191
## 38  0.0373585142  2.794398e-02  0.019433110  0.027101520  0.0229804025
## 39  0.0167298146  1.694951e-03  0.009948281  0.029294251  0.0330892908
## 40  0.0212173782  4.362382e-02  0.033198500  0.004976469  0.0002111632
## 41  0.0428148697  3.730150e-02  0.023354334  0.024932155  0.0182613048
## 42  0.0373015043  6.070969e-02  0.038616343  0.005491946 -0.0048073213
## 43  0.0233543338  3.861634e-02  0.029661175  0.009835355  0.0057088348
## 44  0.0249321545  5.491946e-03  0.009835355  0.032793191  0.0346943078
## 45  0.0182613048 -4.807321e-03  0.005708835  0.034694308  0.0394972418
## 46  0.0106680025 -9.157364e-03  0.005324936  0.032004792  0.0387186714
## 47  0.0085239197 -5.417871e-05  0.011260163  0.024444711  0.0297475381
## 48  0.0258261094  1.592558e-02  0.015684353  0.026579037  0.0263819477
## 49  0.0670336232  9.709363e-02  0.051439339  0.003285199 -0.0181500866
## 50  0.0230872378  1.739039e-02  0.017320596  0.023611924  0.0235312999
## 51 -0.0744931970  8.882214e-03  0.040111081 -0.042147291 -0.0266187841
##               46            47            48            49           50
## 1   0.0610981620  5.533226e-02  0.0140164593 -0.1267240353  0.016633486
## 2   0.0038837436  9.500761e-03  0.0166461782  0.0589560548  0.017858510
## 3  -0.0136684226 -4.403881e-03  0.0172227295  0.1151889082  0.018103994
## 4   0.0173115022  2.010641e-02  0.0162520006  0.0160854844  0.017697261
## 5   0.0044695580  1.253068e-02  0.0128283056  0.0450352224  0.015699630
## 6   0.0463112824  3.959526e-02  0.0204580515 -0.0604666469  0.020212357
## 7   0.0440851020  3.282672e-02  0.0279408473 -0.0298412311  0.024438657
## 8   0.0413666923  3.442696e-02  0.0224728906 -0.0387520617  0.021330304
## 9  -0.0025489007  2.805195e-03  0.0192257569  0.0870736011  0.019289336
## 10  0.0316531775  3.211712e-02  0.0148195267 -0.0329099159  0.016952371
## 11  0.0419174754  2.873376e-02  0.0315292980 -0.0117448120  0.026460349
## 12  0.0293098947  1.999741e-02  0.0300910133  0.0227734801  0.025587887
## 13  0.0169483544  1.300815e-02  0.0263467097  0.0492176249  0.023410951
## 14  0.0239199513  2.296578e-02  0.0195521764  0.0060655020  0.019596212
## 15  0.0279389383  2.382131e-02  0.0228670652  0.0041184849  0.021491551
## 16  0.0188699407  1.535402e-02  0.0250642779  0.0391953530  0.022693733
## 17 -0.0162578898 -6.407713e-03  0.0172374416  0.1232618867  0.018100381
## 18 -0.0272369450 -2.450203e-03 -0.0011371298  0.0990337955  0.007646540
## 19  0.0363283635  2.972291e-02  0.0236935635 -0.0192649252  0.021998183
## 20  0.0468854200  3.971747e-02  0.0209316081 -0.0607447782  0.020483120
## 21  0.0348871761  2.796351e-02  0.0246553858 -0.0117482331  0.022536095
## 22  0.0216350737  2.538461e-02  0.0133665276 -0.0064646395  0.016083520
## 23  0.0267789716  2.066916e-02  0.0262113827  0.0183174990  0.023379668
## 24  0.0078558491  1.058841e-02  0.0195639858  0.0558953572  0.019528816
## 25 -0.0192341757  2.400684e-03  0.0008041373  0.0803833795  0.008782542
## 26  0.0137026836  1.425406e-02  0.0208022767  0.0416986194  0.020256868
## 27  0.0177802192  1.778517e-02  0.0202228196  0.0272226188  0.019947599
## 28  0.0216820941  1.328953e-02  0.0313264015  0.0503336190  0.026252155
## 29  0.0312314810  2.234328e-02  0.0288085816  0.0127512081  0.024870669
## 30  0.0323797658  2.258772e-02  0.0297556925  0.0121949084  0.025412194
## 31  0.0290286694  2.139016e-02  0.0277085212  0.0160911819  0.024237684
## 32  0.0149328762  2.298950e-02  0.0092721879  0.0013279314  0.013734502
## 33  0.0482797356  4.170899e-02  0.0195727024 -0.0693751879  0.019720173
## 34  0.0149211944  2.008179e-02  0.0135636164  0.0149706458  0.016164144
## 35  0.0266031669  2.450536e-02  0.0203316281  0.0002199351  0.020049892
## 36 -0.0112195610 -1.703667e-03  0.0160167687  0.1037747501  0.017432503
## 37  0.0324499964  2.817101e-02  0.0215699182 -0.0139767894  0.020777944
## 38  0.0169014875  1.324028e-02  0.0259496270  0.0481038940  0.023185917
## 39  0.0332116256  2.736473e-02  0.0236318017 -0.0098000845  0.021948841
## 40  0.0008724212  9.586039e-03  0.0130871533  0.0570056431  0.015829594
## 41  0.0106680025  8.523920e-03  0.0258261094  0.0670336232  0.023087238
## 42 -0.0091573645 -5.417871e-05  0.0159255826  0.0970936339  0.017390386
## 43  0.0053249356  1.126016e-02  0.0156843529  0.0514393389  0.017320596
## 44  0.0320047921  2.444471e-02  0.0265790365  0.0032851987  0.023611924
## 45  0.0387186714  2.974754e-02  0.0263819477 -0.0181500866  0.023531300
## 46  0.0404996425  3.278978e-02  0.0239082695 -0.0315135010  0.022138980
## 47  0.0327897755  2.945385e-02  0.0200580654 -0.0198234879  0.019923538
## 48  0.0239082695  2.005807e-02  0.0238436049  0.0197082164  0.022025855
## 49 -0.0315135010 -1.982349e-02  0.0197082164  0.1783821911  0.019428916
## 50  0.0221389802  1.992354e-02  0.0220258547  0.0194289164  0.020988532
## 51  0.0073516449  3.977540e-02 -0.0242209261 -0.0813672909 -0.005263400
##              51
## 1   0.169486584
## 2   0.025441836
## 3  -0.015910217
## 4   0.056498849
## 5   0.073651878
## 6   0.061224788
## 7  -0.035367152
## 8   0.026738755
## 9  -0.018909558
## 10  0.102139135
## 11 -0.083834974
## 12 -0.090701039
## 13 -0.068658246
## 14  0.028707029
## 15 -0.004318212
## 16 -0.049099283
## 17 -0.021143638
## 18  0.183959802
## 19  0.001860398
## 20  0.056506876
## 21 -0.012808801
## 22  0.100506538
## 23 -0.047810391
## 24 -0.002779615
## 25  0.175641065
## 26 -0.006638218
## 27  0.008460658
## 28 -0.120812865
## 29 -0.071142077
## 30 -0.080577853
## 31 -0.061878106
## 32  0.137905986
## 33  0.075979912
## 34  0.084978031
## 35  0.024332822
## 36  0.003734719
## 37  0.020474219
## 38 -0.063854408
## 39 -0.003458950
## 40  0.063442766
## 41 -0.074493197
## 42  0.008882214
## 43  0.040111081
## 44 -0.042147291
## 45 -0.026618784
## 46  0.007351645
## 47  0.039775403
## 48 -0.024220926
## 49 -0.081367291
## 50 -0.005263400
## 51  0.536021500
n<-nrow(matriz_X)

# Mtariz M
matriz_M<-diag(n)-matriz_P
print(matriz_M)
##               1             2             3            4            5
## 1   0.838388923  0.0127796253  0.0653080904 -0.027207907 -0.004995312
## 2   0.012779625  0.9685349231 -0.0450195150 -0.021099510 -0.030700881
## 3   0.065308090 -0.0450195150  0.9214410491 -0.019423663 -0.038838489
## 4  -0.027207907 -0.0210995096 -0.0194236628  0.977658788 -0.024424173
## 5  -0.004995312 -0.0307008811 -0.0388384889 -0.024424173  0.965417364
## 6  -0.092237760  0.0008717607  0.0291165550 -0.020671038 -0.005338821
## 7  -0.054323132 -0.0014555968  0.0149893805 -0.014082445  0.001730668
## 8  -0.069626967 -0.0030986911  0.0171998930 -0.018604926 -0.005605850
## 9   0.042019509 -0.0366270037 -0.0604669926 -0.018447422 -0.031093776
## 10 -0.074183205 -0.0099454181  0.0092620561 -0.024537798 -0.018826182
## 11 -0.033001099 -0.0034182300  0.0061606961 -0.010848882  0.004571400
## 12 -0.003083400 -0.0130022202 -0.0154620904 -0.011239145 -0.003299178
## 13  0.016405789 -0.0222075842 -0.0335527599 -0.013630280 -0.013568208
## 14 -0.032150082 -0.0162849295 -0.0114826440 -0.019945572 -0.017514640
## 15 -0.029639461 -0.0134642545 -0.0083959467 -0.017363227 -0.011882559
## 16  0.005512265 -0.0206235772 -0.0282561924 -0.014862970 -0.014010488
## 17  0.072760898 -0.0470134239 -0.0834132808 -0.019236959 -0.040115944
## 18  0.026597072 -0.0539539932 -0.0794281003 -0.034310399 -0.065690838
## 19 -0.050098243 -0.0070760900  0.0061664301 -0.017215896 -0.006788032
## 20 -0.091879085  0.0012747116  0.0295575040 -0.020302131 -0.004534238
## 21 -0.041928113 -0.0082640934  0.0021940108 -0.016291379 -0.006456323
## 22 -0.051718351 -0.0175354918 -0.0075063795 -0.025114767 -0.025419303
## 23 -0.012223150 -0.0146314125 -0.0150179511 -0.014407468 -0.008805392
## 24  0.013749255 -0.0286478850 -0.0414912433 -0.018855703 -0.025526380
## 25  0.011943712 -0.0479548814 -0.0670730541 -0.033177818 -0.059570593
## 26  0.002284283 -0.0242501501 -0.0322247792 -0.018183130 -0.021251731
## 27 -0.011797679 -0.0210647547 -0.0238396001 -0.018955815 -0.019848409
## 28  0.023898157 -0.0189735319 -0.0313498957 -0.009663407 -0.005758814
## 29 -0.013976925 -0.0114182132 -0.0101655228 -0.012471835 -0.003741458
## 30 -0.013259614 -0.0106123038 -0.0092836039 -0.011734023 -0.002132290
## 31 -0.012329555 -0.0130230694 -0.0128125179 -0.013270384 -0.006044635
## 32 -0.049858208 -0.0223570267 -0.0145642200 -0.028187487 -0.033243991
## 33 -0.101590245  0.0024592395  0.0339715188 -0.021565188 -0.005323525
## 34 -0.031724585 -0.0227182754 -0.0203043056 -0.024493916 -0.028557657
## 35 -0.036520858 -0.0142840658 -0.0075114923 -0.019455197 -0.015322030
## 36  0.053232174 -0.0430360250 -0.0723798179 -0.020625989 -0.038933762
## 37 -0.047985819 -0.0098863347  0.0017549634 -0.018782624 -0.011047384
## 38  0.014864749 -0.0222110559 -0.0331111561 -0.013968820 -0.014025783
## 39 -0.041463070 -0.0094694781  0.0004295475 -0.017059559 -0.008412495
## 40  0.006363255 -0.0334902728 -0.0458995198 -0.023959662 -0.036096529
## 41  0.032135147 -0.0269978397 -0.0445849466 -0.013656140 -0.017274706
## 42  0.046961732 -0.0414415952 -0.0684080408 -0.020843060 -0.038003315
## 43  0.004609469 -0.0302770697 -0.0410470830 -0.022024029 -0.031032591
## 44 -0.025587799 -0.0106401078 -0.0057508532 -0.014442341 -0.005792902
## 45 -0.045581566 -0.0054573242  0.0070470730 -0.015063192 -0.002654548
## 46 -0.061098162 -0.0038837436  0.0136684226 -0.017311502 -0.004469558
## 47 -0.055332259 -0.0095007613  0.0044038810 -0.020106415 -0.012530684
## 48 -0.014016459 -0.0166461782 -0.0172227295 -0.016252001 -0.012828306
## 49  0.126724035 -0.0589560548 -0.1151889082 -0.016085484 -0.045035222
## 50 -0.016633486 -0.0178585101 -0.0181039936 -0.017697261 -0.015699630
## 51 -0.169486584 -0.0254418356  0.0159102166 -0.056498849 -0.073651878
##                6            7            8            9           10
## 1  -0.0922377599 -0.054323132 -0.069626967  0.042019509 -0.074183205
## 2   0.0008717607 -0.001455597 -0.003098691 -0.036627004 -0.009945418
## 3   0.0291165550  0.014989380  0.017199893 -0.060466993  0.009262056
## 4  -0.0206710383 -0.014082445 -0.018604926 -0.018447422 -0.024537798
## 5  -0.0053388207  0.001730668 -0.005605850 -0.031093776 -0.018826182
## 6   0.9398166940 -0.046325314 -0.049657601  0.014507419 -0.045082769
## 7  -0.0463253143  0.948474640 -0.043514080  0.002242589 -0.026574141
## 8  -0.0496576009 -0.043514080  0.956952930  0.005481207 -0.035653735
## 9   0.0145074185  0.002242589  0.005481207  0.951682287  0.002230971
## 10 -0.0450827691 -0.026574141 -0.035653735  0.002230971  0.957682639
## 11 -0.0379595101 -0.052952915 -0.039313133 -0.005088182 -0.016572738
## 12 -0.0202404094 -0.039319171 -0.025625073 -0.019901969 -0.006794286
## 13 -0.0061039860 -0.023656425 -0.013328397 -0.031515647 -0.002269591
## 14 -0.0264276188 -0.023732484 -0.024553262 -0.013858209 -0.024140123
## 15 -0.0281148133 -0.030887233 -0.027540841 -0.012698365 -0.021061366
## 16 -0.0108871129 -0.024257870 -0.016137961 -0.027384984 -0.007017238
## 17  0.0331859478  0.017484675  0.020160655 -0.063896367  0.011943140
## 18  0.0248715863  0.046193174  0.023833459 -0.055442446 -0.016681405
## 19 -0.0400866623 -0.039831103 -0.036712140 -0.002678021 -0.027851446
## 20 -0.0604243269 -0.047347419 -0.050084394  0.014673105 -0.044642941
## 21 -0.0364993229 -0.039380020 -0.034604970 -0.005776013 -0.024290717
## 22 -0.0314330794 -0.015435698 -0.024926450 -0.009153426 -0.035220009
## 23 -0.0216631859 -0.033051380 -0.024606872 -0.018397301 -0.012620412
## 24 -0.0012927954 -0.008174465 -0.006224056 -0.035033686 -0.007680018
## 25  0.0150502752  0.036527926  0.015640148 -0.047321742 -0.020657841
## 26 -0.0087178833 -0.015058917 -0.012296802 -0.028876195 -0.010975654
## 27 -0.0158972585 -0.018441171 -0.017226949 -0.022782299 -0.016404119
## 28 -0.0066000667 -0.033140898 -0.016329375 -0.031490581  0.003689098
## 29 -0.0250235363 -0.039920616 -0.028434638 -0.015771307 -0.011541933
## 30 -0.0255055964 -0.041964833 -0.029288235 -0.015439919 -0.010662291
## 31 -0.0231046860 -0.036703939 -0.026451865 -0.017301036 -0.011674500
## 32 -0.0266312472 -0.004913909 -0.019253703 -0.012875670 -0.037244415
## 33 -0.0644890461 -0.047362628 -0.052329362  0.018204586 -0.049017041
## 34 -0.0206616799 -0.009122273 -0.017173332 -0.018243217 -0.027923819
## 35 -0.0295422633 -0.027099528 -0.027238434 -0.011295804 -0.025194476
## 36  0.0236150092  0.013801698  0.013825726 -0.055737139  0.004140852
## 37 -0.0369673443 -0.033983974 -0.033311174 -0.005138319 -0.028490109
## 38 -0.0065813727 -0.023220557 -0.013466200 -0.031082152 -0.003082966
## 39 -0.0352988620 -0.036749573 -0.033186782 -0.006706576 -0.024796816
## 40  0.0006447671  0.004962560 -0.001378097 -0.036155002 -0.014584634
## 41  0.0029942508 -0.017057493 -0.006415471 -0.039139282  0.003026318
## 42  0.0202640241  0.011892640  0.011429560 -0.052906946  0.001833314
## 43 -0.0027155901 -0.001906681 -0.005205868 -0.033529002 -0.013506159
## 44 -0.0293246212 -0.038477851 -0.030390617 -0.011972017 -0.017169236
## 45 -0.0400960207 -0.044791276 -0.038143735 -0.002882226 -0.024465426
## 46 -0.0463112824 -0.044085102 -0.041366692  0.002548901 -0.031653178
## 47 -0.0395952552 -0.032826716 -0.034426956 -0.002805195 -0.032117120
## 48 -0.0204580515 -0.027940847 -0.022472891 -0.019225757 -0.014819527
## 49  0.0604666469  0.029841231  0.038752062 -0.087073601  0.032909916
## 50 -0.0202123570 -0.024438657 -0.021330304 -0.019289336 -0.016952371
## 51 -0.0612247882  0.035367152 -0.026738755  0.018909558 -0.102139135
##              11           12            13           14            15
## 1  -0.033001099 -0.003083400  0.0164057895 -0.032150082 -0.0296394607
## 2  -0.003418230 -0.013002220 -0.0222075842 -0.016284930 -0.0134642545
## 3   0.006160696 -0.015462090 -0.0335527599 -0.011482644 -0.0083959467
## 4  -0.010848882 -0.011239145 -0.0136302797 -0.019945572 -0.0173632265
## 5   0.004571400 -0.003299178 -0.0135682081 -0.017514640 -0.0118825586
## 6  -0.037959510 -0.020240409 -0.0061039860 -0.026427619 -0.0281148133
## 7  -0.052952915 -0.039319171 -0.0236564253 -0.023732484 -0.0308872331
## 8  -0.039313133 -0.025625073 -0.0133283967 -0.024553262 -0.0275408413
## 9  -0.005088182 -0.019901969 -0.0315156470 -0.013858209 -0.0126983655
## 10 -0.016572738 -0.006794286 -0.0022695914 -0.024140123 -0.0210613665
## 11  0.940536222 -0.048531233 -0.0327063281 -0.022149205 -0.0318824765
## 12 -0.048531233  0.954393553 -0.0368271023 -0.019221275 -0.0273881407
## 13 -0.032706328 -0.036827102  0.9642083854 -0.017007601 -0.0219056920
## 14 -0.022149205 -0.019221275 -0.0170076006  0.979236566 -0.0208926221
## 15 -0.031882477 -0.027388141 -0.0219056920 -0.020892622  0.9763581307
## 16 -0.031087826 -0.033469599 -0.0318979738 -0.017876622 -0.0218985614
## 17  0.007727752 -0.015646825 -0.0350735318 -0.010793969 -0.0076157965
## 18  0.054701898  0.030265921 -0.0014273628 -0.013064630  0.0041898611
## 19 -0.038871660 -0.029003659 -0.0188796609 -0.022877707 -0.0265723376
## 20 -0.039349978 -0.021407108 -0.0068037177 -0.026446073 -0.0285075624
## 21 -0.040085535 -0.031521783 -0.0217998869 -0.022225942 -0.0265776855
## 22 -0.007207250 -0.003684759 -0.0048695833 -0.021900870 -0.0173471827
## 23 -0.038481633 -0.035924490 -0.0298453483 -0.019644453 -0.0248308123
## 24 -0.012253950 -0.020166053 -0.0262691136 -0.016513515 -0.0160162331
## 25  0.045513004  0.025804963 -0.0010478759 -0.014633660  0.0008630804
## 26 -0.018573624 -0.022969338 -0.0256004177 -0.017710526 -0.0183638179
## 27 -0.019824348 -0.021269504 -0.0219959740 -0.018951570 -0.0193358870
## 28 -0.046522708 -0.049169776 -0.0438991476 -0.016857042 -0.0256394868
## 29 -0.046912731 -0.042248944 -0.0329334615 -0.020090296 -0.0273810101
## 30 -0.049693667 -0.044582334 -0.0343329143 -0.020127207 -0.0281665101
## 31 -0.043145955 -0.039588230 -0.0318076813 -0.019817677 -0.0262045455
## 32  0.005888169  0.006303442  0.0001808736 -0.021281807 -0.0134232536
## 33 -0.037238553 -0.017885945 -0.0030469192 -0.027197238 -0.0283049477
## 34 -0.003491924 -0.004566297 -0.0091582355 -0.020070549 -0.0153976967
## 35 -0.025511358 -0.021042611 -0.0171599647 -0.021253310 -0.0220673058
## 36  0.007286280 -0.012268239 -0.0295222676 -0.012469523 -0.0085843002
## 37 -0.031831027 -0.023845895 -0.0164912701 -0.022450321 -0.0244148889
## 38 -0.031808783 -0.035824064 -0.0349550407 -0.017107002 -0.0217084271
## 39 -0.036811682 -0.029024734 -0.0205372750 -0.022071176 -0.0255967032
## 40  0.006226751 -0.004159633 -0.0161992371 -0.016490852 -0.0109087069
## 41 -0.027688833 -0.035866230 -0.0382702874 -0.015493935 -0.0197571584
## 42  0.006212146 -0.011919844 -0.0281383380 -0.013040343 -0.0091689663
## 43 -0.002204351 -0.010484089 -0.0192873490 -0.016936696 -0.0134589066
## 44 -0.042513293 -0.036558045 -0.0276403573 -0.020922409 -0.0265883814
## 45 -0.046228619 -0.035676507 -0.0233517051 -0.022752730 -0.0285378674
## 46 -0.041917475 -0.029309895 -0.0169483544 -0.023919951 -0.0279389383
## 47 -0.028733762 -0.019997413 -0.0130081546 -0.022965776 -0.0238213077
## 48 -0.031529298 -0.030091013 -0.0263467097 -0.019552176 -0.0228670652
## 49  0.011744812 -0.022773480 -0.0492176249 -0.006065502 -0.0041184849
## 50 -0.026460349 -0.025587887 -0.0234109512 -0.019596212 -0.0214915512
## 51  0.083834974  0.090701039  0.0686582458 -0.028707029  0.0043182118
##              16           17           18           19           20
## 1   0.005512265  0.072760898  0.026597072 -0.050098243 -0.091879085
## 2  -0.020623577 -0.047013424 -0.053953993 -0.007076090  0.001274712
## 3  -0.028256192 -0.083413281 -0.079428100  0.006166430  0.029557504
## 4  -0.014862970 -0.019236959 -0.034310399 -0.017215896 -0.020302131
## 5  -0.014010488 -0.040115944 -0.065690838 -0.006788032 -0.004534238
## 6  -0.010887113  0.033185948  0.024871586 -0.040086662 -0.060424327
## 7  -0.024257870  0.017484675  0.046193174 -0.039831103 -0.047347419
## 8  -0.016137961  0.020160655  0.023833459 -0.036712140 -0.050084394
## 9  -0.027384984 -0.063896367 -0.055442446 -0.002678021  0.014673105
## 10 -0.007017238  0.011943140 -0.016681405 -0.027851446 -0.044642941
## 11 -0.031087826  0.007727752  0.054701898 -0.038871660 -0.039349978
## 12 -0.033469599 -0.015646825  0.030265921 -0.029003659 -0.021407108
## 13 -0.031897974 -0.035073532 -0.001427363 -0.018879661 -0.006803718
## 14 -0.017876622 -0.010793969 -0.013064630 -0.022877707 -0.026446073
## 15 -0.021898561 -0.007615796  0.004189861 -0.026572338 -0.028507562
## 16  0.970978582 -0.029264481 -0.002678779 -0.020095101 -0.011461679
## 17 -0.029264481  0.911321892 -0.083419388  0.008133616  0.033639964
## 18 -0.002678779 -0.083419388  0.838565713  0.020017550  0.027336512
## 19 -0.020095101  0.008133616  0.020017550  0.966886322 -0.040614464
## 20 -0.011461679  0.033639964  0.027336512 -0.040614464  0.939281181
## 21 -0.022252515  0.003776834  0.020956111 -0.032202099 -0.037120999
## 22 -0.008390716 -0.006166587 -0.037126086 -0.019950638 -0.030782549
## 23 -0.027937093 -0.014967325  0.013461762 -0.026332583 -0.022404096
## 24 -0.023998670 -0.043336153 -0.038088405 -0.010658741 -0.001221758
## 25 -0.002888156 -0.070120480 -0.142515978  0.013556129  0.017264095
## 26 -0.023850346 -0.033350676 -0.024863111 -0.015344871 -0.008811213
## 27 -0.021331484 -0.024228162 -0.020421494 -0.018335613 -0.015952162
## 28 -0.038435035 -0.032938706  0.022458728 -0.023438008 -0.007854707
## 29 -0.030593043 -0.009837774  0.029014505 -0.030219100 -0.026065069
## 30 -0.031742168 -0.008929719  0.033944364 -0.031274710 -0.026654070
## 31 -0.029588488 -0.012652092  0.021932584 -0.028331832 -0.024017098
## 32 -0.004083363 -0.013611347 -0.061149643 -0.014064879 -0.025508592
## 33 -0.008657411  0.038495867  0.025009056 -0.041414071 -0.064647282
## 34 -0.011271019 -0.020054820 -0.046947884 -0.014880735 -0.019994128
## 35 -0.018162034 -0.006527372 -0.006295554 -0.025068840 -0.029658547
## 36 -0.025307341 -0.076651069 -0.079603479  0.004535153  0.024170035
## 37 -0.018013710  0.003458095  0.006929730 -0.029754966 -0.037247994
## 38 -0.031251119 -0.034574400 -0.002816248 -0.018767693 -0.007238723
## 39 -0.021175678  0.001915641  0.014950222 -0.030730659 -0.035802507
## 40 -0.015810207 -0.047786188 -0.070445310 -0.004101151  0.001442215
## 41 -0.033412287 -0.047010377 -0.012950898 -0.014001648  0.002385213
## 42 -0.024371341 -0.072339389 -0.076688232  0.002983801  0.020817072
## 43 -0.018466157 -0.042656629 -0.054892557 -0.007987672 -0.002218765
## 44 -0.026567356 -0.004936756  0.022833238 -0.030378936 -0.030134046
## 45 -0.023687052  0.008951477  0.032655035 -0.035448839 -0.040922467
## 46 -0.018869941  0.016257890  0.027236945 -0.036328364 -0.046885420
## 47 -0.015354019  0.006407713  0.002450203 -0.029722909 -0.039717471
## 48 -0.025064278 -0.017237442  0.001137130 -0.023693564 -0.020931608
## 49 -0.039195353 -0.123261887 -0.099033795  0.019264925  0.060744778
## 50 -0.022693733 -0.018100381 -0.007646540 -0.021998183 -0.020483120
## 51  0.049099283  0.021143638 -0.183959802 -0.001860398 -0.056506876
##               21           22           23           24            25
## 1  -0.0419281127 -0.051718351 -0.012223150  0.013749255  0.0119437117
## 2  -0.0082640934 -0.017535492 -0.014631413 -0.028647885 -0.0479548814
## 3   0.0021940108 -0.007506379 -0.015017951 -0.041491243 -0.0670730541
## 4  -0.0162913794 -0.025114767 -0.014407468 -0.018855703 -0.0331778182
## 5  -0.0064563227 -0.025419303 -0.008805392 -0.025526380 -0.0595705928
## 6  -0.0364993229 -0.031433079 -0.021663186 -0.001292795  0.0150502752
## 7  -0.0393800202 -0.015435698 -0.033051380 -0.008174465  0.0365279257
## 8  -0.0346049704 -0.024926450 -0.024606872 -0.006224056  0.0156401479
## 9  -0.0057760130 -0.009153426 -0.018397301 -0.035033686 -0.0473217421
## 10 -0.0242907171 -0.035220009 -0.012620412 -0.007680018 -0.0206578411
## 11 -0.0400855353 -0.007207250 -0.038481633 -0.012253950  0.0455130038
## 12 -0.0315217825 -0.003684759 -0.035924490 -0.020166053  0.0258049627
## 13 -0.0217998869 -0.004869583 -0.029845348 -0.026269114 -0.0010478759
## 14 -0.0222259425 -0.021900870 -0.019644453 -0.016513515 -0.0146336599
## 15 -0.0265776855 -0.017347183 -0.024830812 -0.016016233  0.0008630804
## 16 -0.0222525147 -0.008390716 -0.027937093 -0.023998670 -0.0028881565
## 17  0.0037768344 -0.006166587 -0.014967325 -0.043336153 -0.0701204805
## 18  0.0209561105 -0.037126086  0.013461762 -0.038088405 -0.1425159781
## 19 -0.0322020992 -0.019950638 -0.026332583 -0.010658741  0.0135561288
## 20 -0.0371209990 -0.030782549 -0.022404096 -0.001221758  0.0172640947
## 21  0.9681373711 -0.017309793 -0.027763772 -0.012361571  0.0149363370
## 22 -0.0173097926  0.966962681 -0.010113892 -0.013747203 -0.0373184518
## 23 -0.0277637720 -0.010113892  0.970084075 -0.019208787  0.0102649599
## 24 -0.0123615708 -0.013747203 -0.019208787  0.972097675 -0.0337950952
## 25  0.0149363370 -0.037318452  0.010264960 -0.033795095  0.8733110174
## 26 -0.0166574230 -0.014245466 -0.021268915 -0.024638023 -0.0228125274
## 27 -0.0188339802 -0.017460712 -0.020497332 -0.021338560 -0.0198083680
## 28 -0.0275360867  0.002630853 -0.037599578 -0.026445652  0.0206735215
## 29 -0.0319744104 -0.007205892 -0.034016235 -0.017895610  0.0239646821
## 30 -0.0332177672 -0.005904840 -0.035498051 -0.017753527  0.0283923251
## 31 -0.0299962246 -0.008277196 -0.032270570 -0.018676335  0.0177832958
## 32 -0.0108667063 -0.037782025 -0.003658934 -0.015592823 -0.0585365059
## 33 -0.0372062083 -0.034188802 -0.020363918  0.000729358  0.0145469363
## 34 -0.0132961496 -0.029247682 -0.010225864 -0.018643294 -0.0447069834
## 35 -0.0243172893 -0.021709854 -0.020913052 -0.015165174 -0.0089123377
## 36  0.0013739633 -0.011142399 -0.013241614 -0.038901468 -0.0680364614
## 37 -0.0286131381 -0.022208116 -0.022973179 -0.011900875  0.0020702217
## 38 -0.0215456293 -0.005634993 -0.029236361 -0.026020824 -0.0023848176
## 39 -0.0302518570 -0.018495967 -0.026150034 -0.012822977  0.0096318246
## 40 -0.0043929230 -0.023084345 -0.009099908 -0.028258230 -0.0630348246
## 41 -0.0176451427 -0.002725634 -0.028871272 -0.030349307 -0.0102334172
## 42  0.0001585582 -0.012367312 -0.013160318 -0.037375885 -0.0658659127
## 43 -0.0086035648 -0.020176345 -0.013200219 -0.026945050 -0.0493350940
## 44 -0.0311836860 -0.012028085 -0.030626159 -0.015767241  0.0176967624
## 45 -0.0351973290 -0.015817723 -0.030514187 -0.010871150  0.0250852940
## 46 -0.0348871761 -0.021635074 -0.026778972 -0.007855849  0.0192341757
## 47 -0.0279635137 -0.025384613 -0.020669157 -0.010588409 -0.0024006838
## 48 -0.0246553858 -0.013366528 -0.026211383 -0.019563986 -0.0008041373
## 49  0.0117482331  0.006464639 -0.018317499 -0.055895357 -0.0803833795
## 50 -0.0225360954 -0.016083520 -0.023379668 -0.019528816 -0.0087825417
## 51  0.0128088006 -0.100506538  0.047810391  0.002779615 -0.1756410645
##              26           27           28           29           30
## 1   0.002284283 -0.011797679  0.023898157 -0.013976925 -0.013259614
## 2  -0.024250150 -0.021064755 -0.018973532 -0.011418213 -0.010612304
## 3  -0.032224779 -0.023839600 -0.031349896 -0.010165523 -0.009283604
## 4  -0.018183130 -0.018955815 -0.009663407 -0.012471835 -0.011734023
## 5  -0.021251731 -0.019848409 -0.005758814 -0.003741458 -0.002132290
## 6  -0.008717883 -0.015897258 -0.006600067 -0.025023536 -0.025505596
## 7  -0.015058917 -0.018441171 -0.033140898 -0.039920616 -0.041964833
## 8  -0.012296802 -0.017226949 -0.016329375 -0.028434638 -0.029288235
## 9  -0.028876195 -0.022782299 -0.031490581 -0.015771307 -0.015439919
## 10 -0.010975654 -0.016404119  0.003689098 -0.011541933 -0.010662291
## 11 -0.018573624 -0.019824348 -0.046522708 -0.046912731 -0.049693667
## 12 -0.022969338 -0.021269504 -0.049169776 -0.042248944 -0.044582334
## 13 -0.025600418 -0.021995974 -0.043899148 -0.032933462 -0.034332914
## 14 -0.017710526 -0.018951570 -0.016857042 -0.020090296 -0.020127207
## 15 -0.018363818 -0.019335887 -0.025639487 -0.027381010 -0.028166510
## 16 -0.023850346 -0.021331484 -0.038435035 -0.030593043 -0.031742168
## 17 -0.033350676 -0.024228162 -0.032938706 -0.009837774 -0.008929719
## 18 -0.024863111 -0.020421494  0.022458728  0.029014505  0.033944364
## 19 -0.015344871 -0.018335613 -0.023438008 -0.030219100 -0.031274710
## 20 -0.008811213 -0.015952162 -0.007854707 -0.026065069 -0.026654070
## 21 -0.016657423 -0.018833980 -0.027536087 -0.031974410 -0.033217767
## 22 -0.014245466 -0.017460712  0.002630853 -0.007205892 -0.005904840
## 23 -0.021268915 -0.020497332 -0.037599578 -0.034016235 -0.035498051
## 24 -0.024638023 -0.021338560 -0.026445652 -0.017895610 -0.017753527
## 25 -0.022812527 -0.019808368  0.020673522  0.023964682  0.028392325
## 26  0.976989607 -0.020837360 -0.027143308 -0.021219266 -0.021405920
## 27 -0.020837360  0.979939059 -0.022766732 -0.020605014 -0.020714818
## 28 -0.027143308 -0.022766732  0.942132768 -0.043705663 -0.046214931
## 29 -0.021219266 -0.020605014 -0.043705663  0.960091474 -0.041991588
## 30 -0.021405920 -0.020714818 -0.046214931 -0.041991588  0.955711469
## 31 -0.021376798 -0.020606427 -0.041307776 -0.037369036 -0.039193856
## 32 -0.014187226 -0.017243932  0.012445150  0.002039205  0.004284505
## 33 -0.007233237 -0.015343282 -0.002446292 -0.023496437 -0.023812930
## 34 -0.017278976 -0.018515181 -0.002024209 -0.006679081 -0.005343980
## 35 -0.017115473 -0.018784033 -0.017888894 -0.022044680 -0.022277252
## 36 -0.030302607 -0.023119498 -0.025830072 -0.008053313 -0.006943244
## 37 -0.015487845 -0.018282833 -0.018586551 -0.025368335 -0.025929642
## 38 -0.025334992 -0.021885460 -0.042588810 -0.032120143 -0.033434834
## 39 -0.016642864 -0.018779786 -0.025082516 -0.029663138 -0.030670433
## 40 -0.022987244 -0.020458705 -0.008769356 -0.003770603 -0.002175702
## 41 -0.027930986 -0.022773808 -0.045877850 -0.031008230 -0.032226291
## 42 -0.029348806 -0.022786546 -0.024296960 -0.008152847 -0.007046736
## 43 -0.022937594 -0.020566386 -0.014875441 -0.009662897 -0.008669241
## 44 -0.019282535 -0.019830717 -0.035732269 -0.035485043 -0.037103893
## 45 -0.016249025 -0.018776247 -0.031077207 -0.036011854 -0.037664753
## 46 -0.013702684 -0.017780219 -0.021682094 -0.031231481 -0.032379766
## 47 -0.014254059 -0.017785173 -0.013289529 -0.022343278 -0.022587718
## 48 -0.020802277 -0.020222820 -0.031326401 -0.028808582 -0.029755693
## 49 -0.041698619 -0.027222619 -0.050333619 -0.012751208 -0.012194908
## 50 -0.020256868 -0.019947599 -0.026252155 -0.024870669 -0.025412194
## 51  0.006638218 -0.008460658  0.120812865  0.071142077  0.080577853
##               31            32           33           34            35
## 1  -0.0123295548 -0.0498582078 -0.101590245 -0.031724585 -0.0365208582
## 2  -0.0130230694 -0.0223570267  0.002459239 -0.022718275 -0.0142840658
## 3  -0.0128125179 -0.0145642200  0.033971519 -0.020304306 -0.0075114923
## 4  -0.0132703840 -0.0281874867 -0.021565188 -0.024493916 -0.0194551966
## 5  -0.0060446349 -0.0332439912 -0.005323525 -0.028557657 -0.0153220299
## 6  -0.0231046860 -0.0266312472 -0.064489046 -0.020661680 -0.0295422633
## 7  -0.0367039393 -0.0049139095 -0.047362628 -0.009122273 -0.0270995277
## 8  -0.0264518654 -0.0192537035 -0.052329362 -0.017173332 -0.0272384342
## 9  -0.0173010357 -0.0128756699  0.018204586 -0.018243217 -0.0112958043
## 10 -0.0116745000 -0.0372444146 -0.049017041 -0.027923819 -0.0251944763
## 11 -0.0431459553  0.0058881689 -0.037238553 -0.003491924 -0.0255113578
## 12 -0.0395882297  0.0063034421 -0.017885945 -0.004566297 -0.0210426110
## 13 -0.0318076813  0.0001808736 -0.003046919 -0.009158236 -0.0171599647
## 14 -0.0198176767 -0.0212818069 -0.027197238 -0.020070549 -0.0212533105
## 15 -0.0262045455 -0.0134232536 -0.028304948 -0.015397697 -0.0220673058
## 16 -0.0295884880 -0.0040833632 -0.008657411 -0.011271019 -0.0181620341
## 17 -0.0126520923 -0.0136113469  0.038495867 -0.020054820 -0.0065273720
## 18  0.0219325838 -0.0611496435  0.025009056 -0.046947884 -0.0062955538
## 19 -0.0283318322 -0.0140648787 -0.041414071 -0.014880735 -0.0250688402
## 20 -0.0240170976 -0.0255085924 -0.064647282 -0.019994128 -0.0296585468
## 21 -0.0299962246 -0.0108667063 -0.037206208 -0.013296150 -0.0243172893
## 22 -0.0082771964 -0.0377820245 -0.034188802 -0.029247682 -0.0217098540
## 23 -0.0322705703 -0.0036589342 -0.020363918 -0.010225864 -0.0209130523
## 24 -0.0186763347 -0.0155928232  0.000729358 -0.018643294 -0.0151651736
## 25  0.0177832958 -0.0585365059  0.014546936 -0.044706983 -0.0089123377
## 26 -0.0213767976 -0.0141872257 -0.007233237 -0.017278976 -0.0171154734
## 27 -0.0206064274 -0.0172439320 -0.015343282 -0.018515181 -0.0187840328
## 28 -0.0413077762  0.0124451501 -0.002446292 -0.002024209 -0.0178888943
## 29 -0.0373690363  0.0020392053 -0.023496437 -0.006679081 -0.0220446804
## 30 -0.0391938560  0.0042845049 -0.023812930 -0.005343980 -0.0222772516
## 31  0.9648133975 -0.0002626947 -0.021619098 -0.008153539 -0.0214453113
## 32 -0.0002626947  0.9531235865 -0.029801125 -0.034866795 -0.0200459709
## 33 -0.0216190981 -0.0298011246  0.930522662 -0.022176589 -0.0304772143
## 34 -0.0081535391 -0.0348667945 -0.022176589  0.971640138 -0.0191242886
## 35 -0.0214453113 -0.0200459709 -0.030477214 -0.019124289  0.9778968001
## 36 -0.0107721254 -0.0188001716  0.027580576 -0.022347417 -0.0086969660
## 37 -0.0241457725 -0.0186403737 -0.038439802 -0.017759971 -0.0240534980
## 38 -0.0310740758 -0.0009134858 -0.003669120 -0.009756111 -0.0172270831
## 39 -0.0279926005 -0.0131403010 -0.036109285 -0.014700927 -0.0239013180
## 40 -0.0062602041 -0.0312533492  0.001383890 -0.027849650 -0.0139039891
## 41 -0.0303956229  0.0009356901  0.006940478 -0.009396484 -0.0148920338
## 42 -0.0107537449 -0.0197813401  0.023836665 -0.022666580 -0.0094976844
## 43 -0.0113586718 -0.0255552094 -0.001748636 -0.024302866 -0.0150356190
## 44 -0.0333250198 -0.0044703410 -0.028790456 -0.010126969 -0.0228141828
## 45 -0.0334486771 -0.0073855710 -0.040802670 -0.011014789 -0.0253997482
## 46 -0.0290286694 -0.0149328762 -0.048279736 -0.014921194 -0.0266031669
## 47 -0.0213901624 -0.0229894963 -0.041708991 -0.020081786 -0.0245053634
## 48 -0.0277085212 -0.0092721879 -0.019572702 -0.013563616 -0.0203316281
## 49 -0.0160911819 -0.0013279314  0.069375188 -0.014970646 -0.0002199351
## 50 -0.0242376845 -0.0137345016 -0.019720173 -0.016164144 -0.0200498918
## 51  0.0618781056 -0.1379059865 -0.075979912 -0.084978031 -0.0243328225
##               36            37            38            39            40
## 1   5.323217e-02 -4.798582e-02  0.0148647495 -0.0414630703  0.0063632555
## 2  -4.303602e-02 -9.886335e-03 -0.0222110559 -0.0094694781 -0.0334902728
## 3  -7.237982e-02  1.754963e-03 -0.0331111561  0.0004295475 -0.0458995198
## 4  -2.062599e-02 -1.878262e-02 -0.0139688204 -0.0170595586 -0.0239596621
## 5  -3.893376e-02 -1.104738e-02 -0.0140257830 -0.0084124945 -0.0360965286
## 6   2.361501e-02 -3.696734e-02 -0.0065813727 -0.0352988620  0.0006447671
## 7   1.380170e-02 -3.398397e-02 -0.0232205566 -0.0367495729  0.0049625601
## 8   1.382573e-02 -3.331117e-02 -0.0134662003 -0.0331867822 -0.0013780971
## 9  -5.573714e-02 -5.138319e-03 -0.0310821519 -0.0067065763 -0.0361550017
## 10  4.140852e-03 -2.849011e-02 -0.0030829660 -0.0247968158 -0.0145846344
## 11  7.286280e-03 -3.183103e-02 -0.0318087828 -0.0368116815  0.0062267510
## 12 -1.226824e-02 -2.384589e-02 -0.0358240642 -0.0290247343 -0.0041596327
## 13 -2.952227e-02 -1.649127e-02 -0.0349550407 -0.0205372750 -0.0161992371
## 14 -1.246952e-02 -2.245032e-02 -0.0171070022 -0.0220711761 -0.0164908525
## 15 -8.584300e-03 -2.441489e-02 -0.0217084271 -0.0255967032 -0.0109087069
## 16 -2.530734e-02 -1.801371e-02 -0.0312511193 -0.0211756783 -0.0158102073
## 17 -7.665107e-02  3.458095e-03 -0.0345744004  0.0019156411 -0.0477861881
## 18 -7.960348e-02  6.929730e-03 -0.0028162483  0.0149502220 -0.0704453099
## 19  4.535153e-03 -2.975497e-02 -0.0187676927 -0.0307306588 -0.0041011511
## 20  2.417003e-02 -3.724799e-02 -0.0072387233 -0.0358025071  0.0014422148
## 21  1.373963e-03 -2.861314e-02 -0.0215456293 -0.0302518570 -0.0043929230
## 22 -1.114240e-02 -2.220812e-02 -0.0056349928 -0.0184959668 -0.0230843446
## 23 -1.324161e-02 -2.297318e-02 -0.0292363608 -0.0261500338 -0.0090999084
## 24 -3.890147e-02 -1.190088e-02 -0.0260208239 -0.0128229771 -0.0282582295
## 25 -6.803646e-02  2.070222e-03 -0.0023848176  0.0096318246 -0.0630348246
## 26 -3.030261e-02 -1.548784e-02 -0.0253349920 -0.0166428640 -0.0229872440
## 27 -2.311950e-02 -1.828283e-02 -0.0218854604 -0.0187797857 -0.0204587049
## 28 -2.583007e-02 -1.858655e-02 -0.0425888096 -0.0250825157 -0.0087693560
## 29 -8.053313e-03 -2.536833e-02 -0.0321201428 -0.0296631376 -0.0037706029
## 30 -6.943244e-03 -2.592964e-02 -0.0334348338 -0.0306704326 -0.0021757022
## 31 -1.077213e-02 -2.414577e-02 -0.0310740758 -0.0279926005 -0.0062602041
## 32 -1.880017e-02 -1.864037e-02 -0.0009134858 -0.0131403010 -0.0312533492
## 33  2.758058e-02 -3.843980e-02 -0.0036691196 -0.0361092855  0.0013838897
## 34 -2.234742e-02 -1.775997e-02 -0.0097561106 -0.0147009265 -0.0278496499
## 35 -8.696966e-03 -2.405350e-02 -0.0172270831 -0.0239013180 -0.0139039891
## 36  9.326395e-01 -9.811276e-05 -0.0292729081 -0.0005404823 -0.0450631341
## 37 -9.811276e-05  9.723595e-01 -0.0165412525 -0.0277212016 -0.0086330079
## 38 -2.927291e-02 -1.654125e-02  0.9658366276 -0.0203652548 -0.0165493298
## 39 -5.404823e-04 -2.772120e-02 -0.0203652548  0.9710870598 -0.0064351744
## 40 -4.506313e-02 -8.633008e-03 -0.0165493298 -0.0064351744  0.9614721902
## 41 -3.942420e-02 -1.247372e-02 -0.0373585142 -0.0167298146 -0.0212173782
## 42 -6.389363e-02 -1.470612e-03 -0.0279439815 -0.0016949509 -0.0436238207
## 43 -3.987482e-02 -1.102817e-02 -0.0194331105 -0.0099482813 -0.0331985000
## 44 -4.948437e-03 -2.632947e-02 -0.0271015202 -0.0292942505 -0.0049764686
## 45  6.256581e-03 -3.077762e-02 -0.0229804025 -0.0330892908 -0.0002111632
## 46  1.121956e-02 -3.245000e-02 -0.0169014875 -0.0332116256 -0.0008724212
## 47  1.703667e-03 -2.817101e-02 -0.0132402830 -0.0273647332 -0.0095860387
## 48 -1.601677e-02 -2.156992e-02 -0.0259496270 -0.0236318017 -0.0130871533
## 49 -1.037748e-01  1.397679e-02 -0.0481038940  0.0098000845 -0.0570056431
## 50 -1.743250e-02 -2.077794e-02 -0.0231859171 -0.0219488413 -0.0158295945
## 51 -3.734719e-03 -2.047422e-02  0.0638544075  0.0034589501 -0.0634427661
##               41            42           43           44            45
## 1   0.0321351475  4.696173e-02  0.004609469 -0.025587799 -0.0455815656
## 2  -0.0269978397 -4.144160e-02 -0.030277070 -0.010640108 -0.0054573242
## 3  -0.0445849466 -6.840804e-02 -0.041047083 -0.005750853  0.0070470730
## 4  -0.0136561402 -2.084306e-02 -0.022024029 -0.014442341 -0.0150631921
## 5  -0.0172747063 -3.800331e-02 -0.031032591 -0.005792902 -0.0026545484
## 6   0.0029942508  2.026402e-02 -0.002715590 -0.029324621 -0.0400960207
## 7  -0.0170574929  1.189264e-02 -0.001906681 -0.038477851 -0.0447912755
## 8  -0.0064154706  1.142956e-02 -0.005205868 -0.030390617 -0.0381437345
## 9  -0.0391392822 -5.290695e-02 -0.033529002 -0.011972017 -0.0028822256
## 10  0.0030263180  1.833314e-03 -0.013506159 -0.017169236 -0.0244654258
## 11 -0.0276888329  6.212146e-03 -0.002204351 -0.042513293 -0.0462286191
## 12 -0.0358662301 -1.191984e-02 -0.010484089 -0.036558045 -0.0356765073
## 13 -0.0382702874 -2.813834e-02 -0.019287349 -0.027640357 -0.0233517051
## 14 -0.0154939355 -1.304034e-02 -0.016936696 -0.020922409 -0.0227527296
## 15 -0.0197571584 -9.168966e-03 -0.013458907 -0.026588381 -0.0285378674
## 16 -0.0334122873 -2.437134e-02 -0.018466157 -0.026567356 -0.0236870520
## 17 -0.0470103772 -7.233939e-02 -0.042656629 -0.004936756  0.0089514769
## 18 -0.0129508981 -7.668823e-02 -0.054892557  0.022833238  0.0326550350
## 19 -0.0140016484  2.983801e-03 -0.007987672 -0.030378936 -0.0354488388
## 20  0.0023852131  2.081707e-02 -0.002218765 -0.030134046 -0.0409224674
## 21 -0.0176451427  1.585582e-04 -0.008603565 -0.031183686 -0.0351973290
## 22 -0.0027256341 -1.236731e-02 -0.020176345 -0.012028085 -0.0158177231
## 23 -0.0288712715 -1.316032e-02 -0.013200219 -0.030626159 -0.0305141871
## 24 -0.0303493068 -3.737589e-02 -0.026945050 -0.015767241 -0.0108711499
## 25 -0.0102334172 -6.586591e-02 -0.049335094  0.017696762  0.0250852940
## 26 -0.0279309862 -2.934881e-02 -0.022937594 -0.019282535 -0.0162490251
## 27 -0.0227738083 -2.278655e-02 -0.020566386 -0.019830717 -0.0187762474
## 28 -0.0458778502 -2.429696e-02 -0.014875441 -0.035732269 -0.0310772069
## 29 -0.0310082300 -8.152847e-03 -0.009662897 -0.035485043 -0.0360118543
## 30 -0.0322262908 -7.046736e-03 -0.008669241 -0.037103893 -0.0376647528
## 31 -0.0303956229 -1.075374e-02 -0.011358672 -0.033325020 -0.0334486771
## 32  0.0009356901 -1.978134e-02 -0.025555209 -0.004470341 -0.0073855710
## 33  0.0069404777  2.383666e-02 -0.001748636 -0.028790456 -0.0408026702
## 34 -0.0093964838 -2.266658e-02 -0.024302866 -0.010126969 -0.0110147891
## 35 -0.0148920338 -9.497684e-03 -0.015035619 -0.022814183 -0.0253997482
## 36 -0.0394241994 -6.389363e-02 -0.039874825 -0.004948437  0.0062565812
## 37 -0.0124737161 -1.470612e-03 -0.011028167 -0.026329474 -0.0307776191
## 38 -0.0373585142 -2.794398e-02 -0.019433110 -0.027101520 -0.0229804025
## 39 -0.0167298146 -1.694951e-03 -0.009948281 -0.029294251 -0.0330892908
## 40 -0.0212173782 -4.362382e-02 -0.033198500 -0.004976469 -0.0002111632
## 41  0.9571851303 -3.730150e-02 -0.023354334 -0.024932155 -0.0182613048
## 42 -0.0373015043  9.392903e-01 -0.038616343 -0.005491946  0.0048073213
## 43 -0.0233543338 -3.861634e-02  0.970338825 -0.009835355 -0.0057088348
## 44 -0.0249321545 -5.491946e-03 -0.009835355  0.967206809 -0.0346943078
## 45 -0.0182613048  4.807321e-03 -0.005708835 -0.034694308  0.9605027582
## 46 -0.0106680025  9.157364e-03 -0.005324936 -0.032004792 -0.0387186714
## 47 -0.0085239197  5.417871e-05 -0.011260163 -0.024444711 -0.0297475381
## 48 -0.0258261094 -1.592558e-02 -0.015684353 -0.026579037 -0.0263819477
## 49 -0.0670336232 -9.709363e-02 -0.051439339 -0.003285199  0.0181500866
## 50 -0.0230872378 -1.739039e-02 -0.017320596 -0.023611924 -0.0235312999
## 51  0.0744931970 -8.882214e-03 -0.040111081  0.042147291  0.0266187841
##               46            47            48            49           50
## 1  -0.0610981620 -5.533226e-02 -0.0140164593  0.1267240353 -0.016633486
## 2  -0.0038837436 -9.500761e-03 -0.0166461782 -0.0589560548 -0.017858510
## 3   0.0136684226  4.403881e-03 -0.0172227295 -0.1151889082 -0.018103994
## 4  -0.0173115022 -2.010641e-02 -0.0162520006 -0.0160854844 -0.017697261
## 5  -0.0044695580 -1.253068e-02 -0.0128283056 -0.0450352224 -0.015699630
## 6  -0.0463112824 -3.959526e-02 -0.0204580515  0.0604666469 -0.020212357
## 7  -0.0440851020 -3.282672e-02 -0.0279408473  0.0298412311 -0.024438657
## 8  -0.0413666923 -3.442696e-02 -0.0224728906  0.0387520617 -0.021330304
## 9   0.0025489007 -2.805195e-03 -0.0192257569 -0.0870736011 -0.019289336
## 10 -0.0316531775 -3.211712e-02 -0.0148195267  0.0329099159 -0.016952371
## 11 -0.0419174754 -2.873376e-02 -0.0315292980  0.0117448120 -0.026460349
## 12 -0.0293098947 -1.999741e-02 -0.0300910133 -0.0227734801 -0.025587887
## 13 -0.0169483544 -1.300815e-02 -0.0263467097 -0.0492176249 -0.023410951
## 14 -0.0239199513 -2.296578e-02 -0.0195521764 -0.0060655020 -0.019596212
## 15 -0.0279389383 -2.382131e-02 -0.0228670652 -0.0041184849 -0.021491551
## 16 -0.0188699407 -1.535402e-02 -0.0250642779 -0.0391953530 -0.022693733
## 17  0.0162578898  6.407713e-03 -0.0172374416 -0.1232618867 -0.018100381
## 18  0.0272369450  2.450203e-03  0.0011371298 -0.0990337955 -0.007646540
## 19 -0.0363283635 -2.972291e-02 -0.0236935635  0.0192649252 -0.021998183
## 20 -0.0468854200 -3.971747e-02 -0.0209316081  0.0607447782 -0.020483120
## 21 -0.0348871761 -2.796351e-02 -0.0246553858  0.0117482331 -0.022536095
## 22 -0.0216350737 -2.538461e-02 -0.0133665276  0.0064646395 -0.016083520
## 23 -0.0267789716 -2.066916e-02 -0.0262113827 -0.0183174990 -0.023379668
## 24 -0.0078558491 -1.058841e-02 -0.0195639858 -0.0558953572 -0.019528816
## 25  0.0192341757 -2.400684e-03 -0.0008041373 -0.0803833795 -0.008782542
## 26 -0.0137026836 -1.425406e-02 -0.0208022767 -0.0416986194 -0.020256868
## 27 -0.0177802192 -1.778517e-02 -0.0202228196 -0.0272226188 -0.019947599
## 28 -0.0216820941 -1.328953e-02 -0.0313264015 -0.0503336190 -0.026252155
## 29 -0.0312314810 -2.234328e-02 -0.0288085816 -0.0127512081 -0.024870669
## 30 -0.0323797658 -2.258772e-02 -0.0297556925 -0.0121949084 -0.025412194
## 31 -0.0290286694 -2.139016e-02 -0.0277085212 -0.0160911819 -0.024237684
## 32 -0.0149328762 -2.298950e-02 -0.0092721879 -0.0013279314 -0.013734502
## 33 -0.0482797356 -4.170899e-02 -0.0195727024  0.0693751879 -0.019720173
## 34 -0.0149211944 -2.008179e-02 -0.0135636164 -0.0149706458 -0.016164144
## 35 -0.0266031669 -2.450536e-02 -0.0203316281 -0.0002199351 -0.020049892
## 36  0.0112195610  1.703667e-03 -0.0160167687 -0.1037747501 -0.017432503
## 37 -0.0324499964 -2.817101e-02 -0.0215699182  0.0139767894 -0.020777944
## 38 -0.0169014875 -1.324028e-02 -0.0259496270 -0.0481038940 -0.023185917
## 39 -0.0332116256 -2.736473e-02 -0.0236318017  0.0098000845 -0.021948841
## 40 -0.0008724212 -9.586039e-03 -0.0130871533 -0.0570056431 -0.015829594
## 41 -0.0106680025 -8.523920e-03 -0.0258261094 -0.0670336232 -0.023087238
## 42  0.0091573645  5.417871e-05 -0.0159255826 -0.0970936339 -0.017390386
## 43 -0.0053249356 -1.126016e-02 -0.0156843529 -0.0514393389 -0.017320596
## 44 -0.0320047921 -2.444471e-02 -0.0265790365 -0.0032851987 -0.023611924
## 45 -0.0387186714 -2.974754e-02 -0.0263819477  0.0181500866 -0.023531300
## 46  0.9595003575 -3.278978e-02 -0.0239082695  0.0315135010 -0.022138980
## 47 -0.0327897755  9.705462e-01 -0.0200580654  0.0198234879 -0.019923538
## 48 -0.0239082695 -2.005807e-02  0.9761563951 -0.0197082164 -0.022025855
## 49  0.0315135010  1.982349e-02 -0.0197082164  0.8216178089 -0.019428916
## 50 -0.0221389802 -1.992354e-02 -0.0220258547 -0.0194289164  0.979011468
## 51 -0.0073516449 -3.977540e-02  0.0242209261  0.0813672909  0.005263400
##              51
## 1  -0.169486584
## 2  -0.025441836
## 3   0.015910217
## 4  -0.056498849
## 5  -0.073651878
## 6  -0.061224788
## 7   0.035367152
## 8  -0.026738755
## 9   0.018909558
## 10 -0.102139135
## 11  0.083834974
## 12  0.090701039
## 13  0.068658246
## 14 -0.028707029
## 15  0.004318212
## 16  0.049099283
## 17  0.021143638
## 18 -0.183959802
## 19 -0.001860398
## 20 -0.056506876
## 21  0.012808801
## 22 -0.100506538
## 23  0.047810391
## 24  0.002779615
## 25 -0.175641065
## 26  0.006638218
## 27 -0.008460658
## 28  0.120812865
## 29  0.071142077
## 30  0.080577853
## 31  0.061878106
## 32 -0.137905986
## 33 -0.075979912
## 34 -0.084978031
## 35 -0.024332822
## 36 -0.003734719
## 37 -0.020474219
## 38  0.063854408
## 39  0.003458950
## 40 -0.063442766
## 41  0.074493197
## 42 -0.008882214
## 43 -0.040111081
## 44  0.042147291
## 45  0.026618784
## 46 -0.007351645
## 47 -0.039775403
## 48  0.024220926
## 49  0.081367291
## 50  0.005263400
## 51  0.463978500

Parte 2

library(magrittr)

residuos_Modelo_esti<-modelo_estimado_1$residuals
datos_Modelo<-modelo_estimado_1$model

residuos_matrices<-matriz_M%*%datos_Modelo$crime
cbind(residuos_matrices,residuos_Modelo_esti,residuos_Modelo_esti-residuos_matrices) %>% round(digits = 2) %>% as.data.frame()->comparacion

names(comparacion)<-c("Por_Matriz", "Por_Modelo", "Por_Diferencia")
comparacion
##    Por_Matriz Por_Modelo Por_Diferencia
## 1     -311.71    -311.71              0
## 2      116.80     116.80              0
## 3       45.25      45.25              0
## 4      -34.45     -34.45              0
## 5      243.00     243.00              0
## 6     -145.12    -145.12              0
## 7       86.13      86.13              0
## 8       88.31      88.31              0
## 9      689.82     689.82              0
## 10    -163.29    -163.29              0
## 11      60.90      60.90              0
## 12     126.92     126.92              0
## 13     -19.27     -19.27              0
## 14     322.59     322.59              0
## 15     -22.44     -22.44              0
## 16     128.18     128.18              0
## 17     -70.82     -70.82              0
## 18    -227.95    -227.95              0
## 19     287.10     287.10              0
## 20     303.88     303.88              0
## 21    -341.99    -341.99              0
## 22    -107.18    -107.18              0
## 23     -30.63     -30.63              0
## 24     189.45     189.45              0
## 25    -811.14    -811.14              0
## 26    -351.77    -351.77              0
## 27     102.71     102.71              0
## 28     -23.36     -23.36              0
## 29      73.38      73.38              0
## 30     -91.63     -91.63              0
## 31     324.03     324.03              0
## 32    -115.85    -115.85              0
## 33     113.65     113.65              0
## 34     217.94     217.94              0
## 35    -112.70    -112.70              0
## 36      21.38      21.38              0
## 37     -88.91     -88.91              0
## 38      99.42      99.42              0
## 39    -102.65    -102.65              0
## 40     217.88     217.88              0
## 41     -84.09     -84.09              0
## 42     137.78     137.78              0
## 43      48.89      48.89              0
## 44     -67.16     -67.16              0
## 45     -39.29     -39.29              0
## 46    -415.78    -415.78              0
## 47    -145.50    -145.50              0
## 48    -183.61    -183.61              0
## 49    -138.39    -138.39              0
## 50    -232.91    -232.91              0
## 51     434.17     434.17              0

Parte 3

eigen(x = matriz_XX, symmetric = TRUE)->Descomposicion
Auto_valores<-(Descomposicion$values)
print(Auto_valores)
## [1] 17956.580914   279.157317     1.681762
print(Auto_valores>0)
## [1] TRUE TRUE TRUE