Ejercicio 3

Para los EEUU se ha estimado un modelo que relaciona el "numero de crimenes" en un estado con el "Nivel de pobreza" y la cantidad de solteros en el mismo.

1. Calcule las matrices A, P y M

options(scipen = 999999)
load("C:/Users/gusta_000/Desktop/Econometria/Guia/modelo_estimado.RData")
matriz_x <- model.matrix(modelo_estimado_1)
#Matriz A
matriz_A <- solve(t(matriz_x)%*%matriz_x)%*%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  0.04768336913
## poverty     -0.004929205 -0.001636594  0.001368417 -0.001178554 -0.00195483396
## single      -0.004046260 -0.008393766 -0.009734111  0.002172555 -0.00001782648
##                        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  -0.05323217408  0.04798581916 -0.0148647495  0.0414630703 -0.0063632555
## 2   0.04303602499  0.00988633473  0.0222110559  0.0094694781  0.0334902728
## 3   0.07237981793 -0.00175496339  0.0331111561 -0.0004295475  0.0458995198
## 4   0.02062598918  0.01878262392  0.0139688204  0.0170595586  0.0239596621
## 5   0.03893376181  0.01104738429  0.0140257830  0.0084124945  0.0360965286
## 6  -0.02361500919  0.03696734429  0.0065813727  0.0352988620 -0.0006447671
## 7  -0.01380169777  0.03398397378  0.0232205566  0.0367495729 -0.0049625601
## 8  -0.01382572557  0.03331117441  0.0134662003  0.0331867822  0.0013780971
## 9   0.05573713908  0.00513831910  0.0310821519  0.0067065763  0.0361550017
## 10 -0.00414085174  0.02849010874  0.0030829660  0.0247968158  0.0145846344
## 11 -0.00728628002  0.03183102660  0.0318087828  0.0368116815 -0.0062267510
## 12  0.01226823934  0.02384589473  0.0358240642  0.0290247343  0.0041596327
## 13  0.02952226761  0.01649127006  0.0349550407  0.0205372750  0.0161992371
## 14  0.01246952316  0.02245032083  0.0171070022  0.0220711761  0.0164908525
## 15  0.00858430019  0.02441488885  0.0217084271  0.0255967032  0.0109087069
## 16  0.02530734095  0.01801371004  0.0312511193  0.0211756783  0.0158102073
## 17  0.07665106865 -0.00345809543  0.0345744004 -0.0019156411  0.0477861881
## 18  0.07960347922 -0.00692972971  0.0028162483 -0.0149502220  0.0704453099
## 19 -0.00453515328  0.02975496623  0.0187676927  0.0307306588  0.0041011511
## 20 -0.02417003455  0.03724799441  0.0072387233  0.0358025071 -0.0014422148
## 21 -0.00137396331  0.02861313806  0.0215456293  0.0302518570  0.0043929230
## 22  0.01114239918  0.02220811569  0.0056349928  0.0184959668  0.0230843446
## 23  0.01324161412  0.02297317924  0.0292363608  0.0261500338  0.0090999084
## 24  0.03890146791  0.01190087524  0.0260208239  0.0128229771  0.0282582295
## 25  0.06803646135 -0.00207022173  0.0023848176 -0.0096318246  0.0630348246
## 26  0.03030260695  0.01548784494  0.0253349920  0.0166428640  0.0229872440
## 27  0.02311949799  0.01828283313  0.0218854604  0.0187797857  0.0204587049
## 28  0.02583007240  0.01858655088  0.0425888096  0.0250825157  0.0087693560
## 29  0.00805331268  0.02536833471  0.0321201428  0.0296631376  0.0037706029
## 30  0.00694324425  0.02592964173  0.0334348338  0.0306704326  0.0021757022
## 31  0.01077212543  0.02414577255  0.0310740758  0.0279926005  0.0062602041
## 32  0.01880017158  0.01864037369  0.0009134858  0.0131403010  0.0312533492
## 33 -0.02758057635  0.03843980185  0.0036691196  0.0361092855 -0.0013838897
## 34  0.02234741708  0.01775997109  0.0097561106  0.0147009265  0.0278496499
## 35  0.00869696605  0.02405349796  0.0172270831  0.0239013180  0.0139039891
## 36  0.06736049636  0.00009811276  0.0292729081  0.0005404823  0.0450631341
## 37  0.00009811276  0.02764046450  0.0165412525  0.0277212016  0.0086330079
## 38  0.02927290810  0.01654125249  0.0341633724  0.0203652548  0.0165493298
## 39  0.00054048231  0.02772120165  0.0203652548  0.0289129402  0.0064351744
## 40  0.04506313408  0.00863300790  0.0165493298  0.0064351744  0.0385278098
## 41  0.03942419937  0.01247371607  0.0373585142  0.0167298146  0.0212173782
## 42  0.06389363049  0.00147061226  0.0279439815  0.0016949509  0.0436238207
## 43  0.03987482497  0.01102816653  0.0194331105  0.0099482813  0.0331985000
## 44  0.00494843673  0.02632947446  0.0271015202  0.0292942505  0.0049764686
## 45 -0.00625658117  0.03077761905  0.0229804025  0.0330892908  0.0002111632
## 46 -0.01121956095  0.03244999636  0.0169014875  0.0332116256  0.0008724212
## 47 -0.00170366700  0.02817101001  0.0132402830  0.0273647332  0.0095860387
## 48  0.01601676866  0.02156991823  0.0259496270  0.0236318017  0.0130871533
## 49  0.10377475013 -0.01397678944  0.0481038940 -0.0098000845  0.0570056431
## 50  0.01743250294  0.02077794352  0.0231859171  0.0219488413  0.0158295945
## 51  0.00373471899  0.02047421898 -0.0638544075 -0.0034589501  0.0634427661
##               41             42           43           44            45
## 1  -0.0321351475 -0.04696173199 -0.004609469  0.025587799  0.0455815656
## 2   0.0269978397  0.04144159523  0.030277070  0.010640108  0.0054573242
## 3   0.0445849466  0.06840804084  0.041047083  0.005750853 -0.0070470730
## 4   0.0136561402  0.02084306015  0.022024029  0.014442341  0.0150631921
## 5   0.0172747063  0.03800331459  0.031032591  0.005792902  0.0026545484
## 6  -0.0029942508 -0.02026402406  0.002715590  0.029324621  0.0400960207
## 7   0.0170574929 -0.01189263976  0.001906681  0.038477851  0.0447912755
## 8   0.0064154706 -0.01142955985  0.005205868  0.030390617  0.0381437345
## 9   0.0391392822  0.05290694621  0.033529002  0.011972017  0.0028822256
## 10 -0.0030263180 -0.00183331380  0.013506159  0.017169236  0.0244654258
## 11  0.0276888329 -0.00621214597  0.002204351  0.042513293  0.0462286191
## 12  0.0358662301  0.01191984441  0.010484089  0.036558045  0.0356765073
## 13  0.0382702874  0.02813833798  0.019287349  0.027640357  0.0233517051
## 14  0.0154939355  0.01304034275  0.016936696  0.020922409  0.0227527296
## 15  0.0197571584  0.00916896625  0.013458907  0.026588381  0.0285378674
## 16  0.0334122873  0.02437134100  0.018466157  0.026567356  0.0236870520
## 17  0.0470103772  0.07233938887  0.042656629  0.004936756 -0.0089514769
## 18  0.0129508981  0.07668823171  0.054892557 -0.022833238 -0.0326550350
## 19  0.0140016484 -0.00298380147  0.007987672  0.030378936  0.0354488388
## 20 -0.0023852131 -0.02081707196  0.002218765  0.030134046  0.0409224674
## 21  0.0176451427 -0.00015855822  0.008603565  0.031183686  0.0351973290
## 22  0.0027256341  0.01236731244  0.020176345  0.012028085  0.0158177231
## 23  0.0288712715  0.01316031803  0.013200219  0.030626159  0.0305141871
## 24  0.0303493068  0.03737588549  0.026945050  0.015767241  0.0108711499
## 25  0.0102334172  0.06586591273  0.049335094 -0.017696762 -0.0250852940
## 26  0.0279309862  0.02934880617  0.022937594  0.019282535  0.0162490251
## 27  0.0227738083  0.02278654628  0.020566386  0.019830717  0.0187762474
## 28  0.0458778502  0.02429695980  0.014875441  0.035732269  0.0310772069
## 29  0.0310082300  0.00815284742  0.009662897  0.035485043  0.0360118543
## 30  0.0322262908  0.00704673551  0.008669241  0.037103893  0.0376647528
## 31  0.0303956229  0.01075374486  0.011358672  0.033325020  0.0334486771
## 32 -0.0009356901  0.01978134011  0.025555209  0.004470341  0.0073855710
## 33 -0.0069404777 -0.02383666457  0.001748636  0.028790456  0.0408026702
## 34  0.0093964838  0.02266657998  0.024302866  0.010126969  0.0110147891
## 35  0.0148920338  0.00949768445  0.015035619  0.022814183  0.0253997482
## 36  0.0394241994  0.06389363049  0.039874825  0.004948437 -0.0062565812
## 37  0.0124737161  0.00147061226  0.011028167  0.026329474  0.0307776191
## 38  0.0373585142  0.02794398150  0.019433110  0.027101520  0.0229804025
## 39  0.0167298146  0.00169495094  0.009948281  0.029294251  0.0330892908
## 40  0.0212173782  0.04362382074  0.033198500  0.004976469  0.0002111632
## 41  0.0428148697  0.03730150429  0.023354334  0.024932155  0.0182613048
## 42  0.0373015043  0.06070968685  0.038616343  0.005491946 -0.0048073213
## 43  0.0233543338  0.03861634300  0.029661175  0.009835355  0.0057088348
## 44  0.0249321545  0.00549194624  0.009835355  0.032793191  0.0346943078
## 45  0.0182613048 -0.00480732130  0.005708835  0.034694308  0.0394972418
## 46  0.0106680025 -0.00915736450  0.005324936  0.032004792  0.0387186714
## 47  0.0085239197 -0.00005417871  0.011260163  0.024444711  0.0297475381
## 48  0.0258261094  0.01592558262  0.015684353  0.026579037  0.0263819477
## 49  0.0670336232  0.09709363390  0.051439339  0.003285199 -0.0181500866
## 50  0.0230872378  0.01739038595  0.017320596  0.023611924  0.0235312999
## 51 -0.0744931970  0.00888221413  0.040111081 -0.042147291 -0.0266187841
##               46             47            48            49           50
## 1   0.0610981620  0.05533225892  0.0140164593 -0.1267240353  0.016633486
## 2   0.0038837436  0.00950076134  0.0166461782  0.0589560548  0.017858510
## 3  -0.0136684226 -0.00440388101  0.0172227295  0.1151889082  0.018103994
## 4   0.0173115022  0.02010641476  0.0162520006  0.0160854844  0.017697261
## 5   0.0044695580  0.01253068375  0.0128283056  0.0450352224  0.015699630
## 6   0.0463112824  0.03959525517  0.0204580515 -0.0604666469  0.020212357
## 7   0.0440851020  0.03282671578  0.0279408473 -0.0298412311  0.024438657
## 8   0.0413666923  0.03442695554  0.0224728906 -0.0387520617  0.021330304
## 9  -0.0025489007  0.00280519452  0.0192257569  0.0870736011  0.019289336
## 10  0.0316531775  0.03211711988  0.0148195267 -0.0329099159  0.016952371
## 11  0.0419174754  0.02873376166  0.0315292980 -0.0117448120  0.026460349
## 12  0.0293098947  0.01999741335  0.0300910133  0.0227734801  0.025587887
## 13  0.0169483544  0.01300815463  0.0263467097  0.0492176249  0.023410951
## 14  0.0239199513  0.02296577564  0.0195521764  0.0060655020  0.019596212
## 15  0.0279389383  0.02382130771  0.0228670652  0.0041184849  0.021491551
## 16  0.0188699407  0.01535401915  0.0250642779  0.0391953530  0.022693733
## 17 -0.0162578898 -0.00640771321  0.0172374416  0.1232618867  0.018100381
## 18 -0.0272369450 -0.00245020324 -0.0011371298  0.0990337955  0.007646540
## 19  0.0363283635  0.02972290933  0.0236935635 -0.0192649252  0.021998183
## 20  0.0468854200  0.03971747067  0.0209316081 -0.0607447782  0.020483120
## 21  0.0348871761  0.02796351374  0.0246553858 -0.0117482331  0.022536095
## 22  0.0216350737  0.02538461273  0.0133665276 -0.0064646395  0.016083520
## 23  0.0267789716  0.02066915744  0.0262113827  0.0183174990  0.023379668
## 24  0.0078558491  0.01058840945  0.0195639858  0.0558953572  0.019528816
## 25 -0.0192341757  0.00240068385  0.0008041373  0.0803833795  0.008782542
## 26  0.0137026836  0.01425405946  0.0208022767  0.0416986194  0.020256868
## 27  0.0177802192  0.01778517341  0.0202228196  0.0272226188  0.019947599
## 28  0.0216820941  0.01328952935  0.0313264015  0.0503336190  0.026252155
## 29  0.0312314810  0.02234327786  0.0288085816  0.0127512081  0.024870669
## 30  0.0323797658  0.02258771784  0.0297556925  0.0121949084  0.025412194
## 31  0.0290286694  0.02139016243  0.0277085212  0.0160911819  0.024237684
## 32  0.0149328762  0.02298949630  0.0092721879  0.0013279314  0.013734502
## 33  0.0482797356  0.04170899129  0.0195727024 -0.0693751879  0.019720173
## 34  0.0149211944  0.02008178601  0.0135636164  0.0149706458  0.016164144
## 35  0.0266031669  0.02450536339  0.0203316281  0.0002199351  0.020049892
## 36 -0.0112195610 -0.00170366700  0.0160167687  0.1037747501  0.017432503
## 37  0.0324499964  0.02817101001  0.0215699182 -0.0139767894  0.020777944
## 38  0.0169014875  0.01324028304  0.0259496270  0.0481038940  0.023185917
## 39  0.0332116256  0.02736473324  0.0236318017 -0.0098000845  0.021948841
## 40  0.0008724212  0.00958603873  0.0130871533  0.0570056431  0.015829594
## 41  0.0106680025  0.00852391966  0.0258261094  0.0670336232  0.023087238
## 42 -0.0091573645 -0.00005417871  0.0159255826  0.0970936339  0.017390386
## 43  0.0053249356  0.01126016252  0.0156843529  0.0514393389  0.017320596
## 44  0.0320047921  0.02444471137  0.0265790365  0.0032851987  0.023611924
## 45  0.0387186714  0.02974753809  0.0263819477 -0.0181500866  0.023531300
## 46  0.0404996425  0.03278977545  0.0239082695 -0.0315135010  0.022138980
## 47  0.0327897755  0.02945384619  0.0200580654 -0.0198234879  0.019923538
## 48  0.0239082695  0.02005806536  0.0238436049  0.0197082164  0.022025855
## 49 -0.0315135010 -0.01982348795  0.0197082164  0.1783821911  0.019428916
## 50  0.0221389802  0.01992353828  0.0220258547  0.0194289164  0.020988532
## 51  0.0073516449  0.03977540282 -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
#Matriz M
n <- nrow(matriz_x)
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   0.05323217408 -0.04798581916  0.0148647495 -0.0414630703  0.0063632555
## 2  -0.04303602499 -0.00988633473 -0.0222110559 -0.0094694781 -0.0334902728
## 3  -0.07237981793  0.00175496339 -0.0331111561  0.0004295475 -0.0458995198
## 4  -0.02062598918 -0.01878262392 -0.0139688204 -0.0170595586 -0.0239596621
## 5  -0.03893376181 -0.01104738429 -0.0140257830 -0.0084124945 -0.0360965286
## 6   0.02361500919 -0.03696734429 -0.0065813727 -0.0352988620  0.0006447671
## 7   0.01380169777 -0.03398397378 -0.0232205566 -0.0367495729  0.0049625601
## 8   0.01382572557 -0.03331117441 -0.0134662003 -0.0331867822 -0.0013780971
## 9  -0.05573713908 -0.00513831910 -0.0310821519 -0.0067065763 -0.0361550017
## 10  0.00414085174 -0.02849010874 -0.0030829660 -0.0247968158 -0.0145846344
## 11  0.00728628002 -0.03183102660 -0.0318087828 -0.0368116815  0.0062267510
## 12 -0.01226823934 -0.02384589473 -0.0358240642 -0.0290247343 -0.0041596327
## 13 -0.02952226761 -0.01649127006 -0.0349550407 -0.0205372750 -0.0161992371
## 14 -0.01246952316 -0.02245032083 -0.0171070022 -0.0220711761 -0.0164908525
## 15 -0.00858430019 -0.02441488885 -0.0217084271 -0.0255967032 -0.0109087069
## 16 -0.02530734095 -0.01801371004 -0.0312511193 -0.0211756783 -0.0158102073
## 17 -0.07665106865  0.00345809543 -0.0345744004  0.0019156411 -0.0477861881
## 18 -0.07960347922  0.00692972971 -0.0028162483  0.0149502220 -0.0704453099
## 19  0.00453515328 -0.02975496623 -0.0187676927 -0.0307306588 -0.0041011511
## 20  0.02417003455 -0.03724799441 -0.0072387233 -0.0358025071  0.0014422148
## 21  0.00137396331 -0.02861313806 -0.0215456293 -0.0302518570 -0.0043929230
## 22 -0.01114239918 -0.02220811569 -0.0056349928 -0.0184959668 -0.0230843446
## 23 -0.01324161412 -0.02297317924 -0.0292363608 -0.0261500338 -0.0090999084
## 24 -0.03890146791 -0.01190087524 -0.0260208239 -0.0128229771 -0.0282582295
## 25 -0.06803646135  0.00207022173 -0.0023848176  0.0096318246 -0.0630348246
## 26 -0.03030260695 -0.01548784494 -0.0253349920 -0.0166428640 -0.0229872440
## 27 -0.02311949799 -0.01828283313 -0.0218854604 -0.0187797857 -0.0204587049
## 28 -0.02583007240 -0.01858655088 -0.0425888096 -0.0250825157 -0.0087693560
## 29 -0.00805331268 -0.02536833471 -0.0321201428 -0.0296631376 -0.0037706029
## 30 -0.00694324425 -0.02592964173 -0.0334348338 -0.0306704326 -0.0021757022
## 31 -0.01077212543 -0.02414577255 -0.0310740758 -0.0279926005 -0.0062602041
## 32 -0.01880017158 -0.01864037369 -0.0009134858 -0.0131403010 -0.0312533492
## 33  0.02758057635 -0.03843980185 -0.0036691196 -0.0361092855  0.0013838897
## 34 -0.02234741708 -0.01775997109 -0.0097561106 -0.0147009265 -0.0278496499
## 35 -0.00869696605 -0.02405349796 -0.0172270831 -0.0239013180 -0.0139039891
## 36  0.93263950364 -0.00009811276 -0.0292729081 -0.0005404823 -0.0450631341
## 37 -0.00009811276  0.97235953550 -0.0165412525 -0.0277212016 -0.0086330079
## 38 -0.02927290810 -0.01654125249  0.9658366276 -0.0203652548 -0.0165493298
## 39 -0.00054048231 -0.02772120165 -0.0203652548  0.9710870598 -0.0064351744
## 40 -0.04506313408 -0.00863300790 -0.0165493298 -0.0064351744  0.9614721902
## 41 -0.03942419937 -0.01247371607 -0.0373585142 -0.0167298146 -0.0212173782
## 42 -0.06389363049 -0.00147061226 -0.0279439815 -0.0016949509 -0.0436238207
## 43 -0.03987482497 -0.01102816653 -0.0194331105 -0.0099482813 -0.0331985000
## 44 -0.00494843673 -0.02632947446 -0.0271015202 -0.0292942505 -0.0049764686
## 45  0.00625658117 -0.03077761905 -0.0229804025 -0.0330892908 -0.0002111632
## 46  0.01121956095 -0.03244999636 -0.0169014875 -0.0332116256 -0.0008724212
## 47  0.00170366700 -0.02817101001 -0.0132402830 -0.0273647332 -0.0095860387
## 48 -0.01601676866 -0.02156991823 -0.0259496270 -0.0236318017 -0.0130871533
## 49 -0.10377475013  0.01397678944 -0.0481038940  0.0098000845 -0.0570056431
## 50 -0.01743250294 -0.02077794352 -0.0231859171 -0.0219488413 -0.0158295945
## 51 -0.00373471899 -0.02047421898  0.0638544075  0.0034589501 -0.0634427661
##               41             42           43           44            45
## 1   0.0321351475  0.04696173199  0.004609469 -0.025587799 -0.0455815656
## 2  -0.0269978397 -0.04144159523 -0.030277070 -0.010640108 -0.0054573242
## 3  -0.0445849466 -0.06840804084 -0.041047083 -0.005750853  0.0070470730
## 4  -0.0136561402 -0.02084306015 -0.022024029 -0.014442341 -0.0150631921
## 5  -0.0172747063 -0.03800331459 -0.031032591 -0.005792902 -0.0026545484
## 6   0.0029942508  0.02026402406 -0.002715590 -0.029324621 -0.0400960207
## 7  -0.0170574929  0.01189263976 -0.001906681 -0.038477851 -0.0447912755
## 8  -0.0064154706  0.01142955985 -0.005205868 -0.030390617 -0.0381437345
## 9  -0.0391392822 -0.05290694621 -0.033529002 -0.011972017 -0.0028822256
## 10  0.0030263180  0.00183331380 -0.013506159 -0.017169236 -0.0244654258
## 11 -0.0276888329  0.00621214597 -0.002204351 -0.042513293 -0.0462286191
## 12 -0.0358662301 -0.01191984441 -0.010484089 -0.036558045 -0.0356765073
## 13 -0.0382702874 -0.02813833798 -0.019287349 -0.027640357 -0.0233517051
## 14 -0.0154939355 -0.01304034275 -0.016936696 -0.020922409 -0.0227527296
## 15 -0.0197571584 -0.00916896625 -0.013458907 -0.026588381 -0.0285378674
## 16 -0.0334122873 -0.02437134100 -0.018466157 -0.026567356 -0.0236870520
## 17 -0.0470103772 -0.07233938887 -0.042656629 -0.004936756  0.0089514769
## 18 -0.0129508981 -0.07668823171 -0.054892557  0.022833238  0.0326550350
## 19 -0.0140016484  0.00298380147 -0.007987672 -0.030378936 -0.0354488388
## 20  0.0023852131  0.02081707196 -0.002218765 -0.030134046 -0.0409224674
## 21 -0.0176451427  0.00015855822 -0.008603565 -0.031183686 -0.0351973290
## 22 -0.0027256341 -0.01236731244 -0.020176345 -0.012028085 -0.0158177231
## 23 -0.0288712715 -0.01316031803 -0.013200219 -0.030626159 -0.0305141871
## 24 -0.0303493068 -0.03737588549 -0.026945050 -0.015767241 -0.0108711499
## 25 -0.0102334172 -0.06586591273 -0.049335094  0.017696762  0.0250852940
## 26 -0.0279309862 -0.02934880617 -0.022937594 -0.019282535 -0.0162490251
## 27 -0.0227738083 -0.02278654628 -0.020566386 -0.019830717 -0.0187762474
## 28 -0.0458778502 -0.02429695980 -0.014875441 -0.035732269 -0.0310772069
## 29 -0.0310082300 -0.00815284742 -0.009662897 -0.035485043 -0.0360118543
## 30 -0.0322262908 -0.00704673551 -0.008669241 -0.037103893 -0.0376647528
## 31 -0.0303956229 -0.01075374486 -0.011358672 -0.033325020 -0.0334486771
## 32  0.0009356901 -0.01978134011 -0.025555209 -0.004470341 -0.0073855710
## 33  0.0069404777  0.02383666457 -0.001748636 -0.028790456 -0.0408026702
## 34 -0.0093964838 -0.02266657998 -0.024302866 -0.010126969 -0.0110147891
## 35 -0.0148920338 -0.00949768445 -0.015035619 -0.022814183 -0.0253997482
## 36 -0.0394241994 -0.06389363049 -0.039874825 -0.004948437  0.0062565812
## 37 -0.0124737161 -0.00147061226 -0.011028167 -0.026329474 -0.0307776191
## 38 -0.0373585142 -0.02794398150 -0.019433110 -0.027101520 -0.0229804025
## 39 -0.0167298146 -0.00169495094 -0.009948281 -0.029294251 -0.0330892908
## 40 -0.0212173782 -0.04362382074 -0.033198500 -0.004976469 -0.0002111632
## 41  0.9571851303 -0.03730150429 -0.023354334 -0.024932155 -0.0182613048
## 42 -0.0373015043  0.93929031315 -0.038616343 -0.005491946  0.0048073213
## 43 -0.0233543338 -0.03861634300  0.970338825 -0.009835355 -0.0057088348
## 44 -0.0249321545 -0.00549194624 -0.009835355  0.967206809 -0.0346943078
## 45 -0.0182613048  0.00480732130 -0.005708835 -0.034694308  0.9605027582
## 46 -0.0106680025  0.00915736450 -0.005324936 -0.032004792 -0.0387186714
## 47 -0.0085239197  0.00005417871 -0.011260163 -0.024444711 -0.0297475381
## 48 -0.0258261094 -0.01592558262 -0.015684353 -0.026579037 -0.0263819477
## 49 -0.0670336232 -0.09709363390 -0.051439339 -0.003285199  0.0181500866
## 50 -0.0230872378 -0.01739038595 -0.017320596 -0.023611924 -0.0235312999
## 51  0.0744931970 -0.00888221413 -0.040111081  0.042147291  0.0266187841
##               46             47            48            49           50
## 1  -0.0610981620 -0.05533225892 -0.0140164593  0.1267240353 -0.016633486
## 2  -0.0038837436 -0.00950076134 -0.0166461782 -0.0589560548 -0.017858510
## 3   0.0136684226  0.00440388101 -0.0172227295 -0.1151889082 -0.018103994
## 4  -0.0173115022 -0.02010641476 -0.0162520006 -0.0160854844 -0.017697261
## 5  -0.0044695580 -0.01253068375 -0.0128283056 -0.0450352224 -0.015699630
## 6  -0.0463112824 -0.03959525517 -0.0204580515  0.0604666469 -0.020212357
## 7  -0.0440851020 -0.03282671578 -0.0279408473  0.0298412311 -0.024438657
## 8  -0.0413666923 -0.03442695554 -0.0224728906  0.0387520617 -0.021330304
## 9   0.0025489007 -0.00280519452 -0.0192257569 -0.0870736011 -0.019289336
## 10 -0.0316531775 -0.03211711988 -0.0148195267  0.0329099159 -0.016952371
## 11 -0.0419174754 -0.02873376166 -0.0315292980  0.0117448120 -0.026460349
## 12 -0.0293098947 -0.01999741335 -0.0300910133 -0.0227734801 -0.025587887
## 13 -0.0169483544 -0.01300815463 -0.0263467097 -0.0492176249 -0.023410951
## 14 -0.0239199513 -0.02296577564 -0.0195521764 -0.0060655020 -0.019596212
## 15 -0.0279389383 -0.02382130771 -0.0228670652 -0.0041184849 -0.021491551
## 16 -0.0188699407 -0.01535401915 -0.0250642779 -0.0391953530 -0.022693733
## 17  0.0162578898  0.00640771321 -0.0172374416 -0.1232618867 -0.018100381
## 18  0.0272369450  0.00245020324  0.0011371298 -0.0990337955 -0.007646540
## 19 -0.0363283635 -0.02972290933 -0.0236935635  0.0192649252 -0.021998183
## 20 -0.0468854200 -0.03971747067 -0.0209316081  0.0607447782 -0.020483120
## 21 -0.0348871761 -0.02796351374 -0.0246553858  0.0117482331 -0.022536095
## 22 -0.0216350737 -0.02538461273 -0.0133665276  0.0064646395 -0.016083520
## 23 -0.0267789716 -0.02066915744 -0.0262113827 -0.0183174990 -0.023379668
## 24 -0.0078558491 -0.01058840945 -0.0195639858 -0.0558953572 -0.019528816
## 25  0.0192341757 -0.00240068385 -0.0008041373 -0.0803833795 -0.008782542
## 26 -0.0137026836 -0.01425405946 -0.0208022767 -0.0416986194 -0.020256868
## 27 -0.0177802192 -0.01778517341 -0.0202228196 -0.0272226188 -0.019947599
## 28 -0.0216820941 -0.01328952935 -0.0313264015 -0.0503336190 -0.026252155
## 29 -0.0312314810 -0.02234327786 -0.0288085816 -0.0127512081 -0.024870669
## 30 -0.0323797658 -0.02258771784 -0.0297556925 -0.0121949084 -0.025412194
## 31 -0.0290286694 -0.02139016243 -0.0277085212 -0.0160911819 -0.024237684
## 32 -0.0149328762 -0.02298949630 -0.0092721879 -0.0013279314 -0.013734502
## 33 -0.0482797356 -0.04170899129 -0.0195727024  0.0693751879 -0.019720173
## 34 -0.0149211944 -0.02008178601 -0.0135636164 -0.0149706458 -0.016164144
## 35 -0.0266031669 -0.02450536339 -0.0203316281 -0.0002199351 -0.020049892
## 36  0.0112195610  0.00170366700 -0.0160167687 -0.1037747501 -0.017432503
## 37 -0.0324499964 -0.02817101001 -0.0215699182  0.0139767894 -0.020777944
## 38 -0.0169014875 -0.01324028304 -0.0259496270 -0.0481038940 -0.023185917
## 39 -0.0332116256 -0.02736473324 -0.0236318017  0.0098000845 -0.021948841
## 40 -0.0008724212 -0.00958603873 -0.0130871533 -0.0570056431 -0.015829594
## 41 -0.0106680025 -0.00852391966 -0.0258261094 -0.0670336232 -0.023087238
## 42  0.0091573645  0.00005417871 -0.0159255826 -0.0970936339 -0.017390386
## 43 -0.0053249356 -0.01126016252 -0.0156843529 -0.0514393389 -0.017320596
## 44 -0.0320047921 -0.02444471137 -0.0265790365 -0.0032851987 -0.023611924
## 45 -0.0387186714 -0.02974753809 -0.0263819477  0.0181500866 -0.023531300
## 46  0.9595003575 -0.03278977545 -0.0239082695  0.0315135010 -0.022138980
## 47 -0.0327897755  0.97054615381 -0.0200580654  0.0198234879 -0.019923538
## 48 -0.0239082695 -0.02005806536  0.9761563951 -0.0197082164 -0.022025855
## 49  0.0315135010  0.01982348795 -0.0197082164  0.8216178089 -0.019428916
## 50 -0.0221389802 -0.01992353828 -0.0220258547 -0.0194289164  0.979011468
## 51 -0.0073516449 -0.03977540282  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

2. Compruebe que los residuos en el objeto "modelo_estimado" son iguales al producto de My, donde "y" es la variable endogena en el modelo ("crime").

Y <- modelo_estimado_1$model$crime
residuos_estimados <- matriz_M%*%Y
comparativo <- as.data.frame(cbind(residuos_estimados, modelo_estimado_1$residuals))
names(comparativo) <- c("residuos_estimados", "modelo_estimado_1$residuals")
print(comparativo)
##    residuos_estimados modelo_estimado_1$residuals
## 1          -311.70552                  -311.70552
## 2           116.80291                   116.80291
## 3            45.25394                    45.25394
## 4           -34.44604                   -34.44604
## 5           243.00035                   243.00035
## 6          -145.11556                  -145.11556
## 7            86.13208                    86.13208
## 8            88.30923                    88.30923
## 9           689.82331                   689.82331
## 10         -163.28540                  -163.28540
## 11           60.89843                    60.89843
## 12          126.92483                   126.92483
## 13          -19.26611                   -19.26611
## 14          322.59487                   322.59487
## 15          -22.44199                   -22.44199
## 16          128.18489                   128.18489
## 17          -70.82382                   -70.82382
## 18         -227.95033                  -227.95033
## 19          287.10188                   287.10188
## 20          303.87924                   303.87924
## 21         -341.98644                  -341.98644
## 22         -107.18138                  -107.18138
## 23          -30.63408                   -30.63408
## 24          189.45014                   189.45014
## 25         -811.13733                  -811.13733
## 26         -351.76785                  -351.76785
## 27          102.71399                   102.71399
## 28          -23.36012                   -23.36012
## 29           73.37583                    73.37583
## 30          -91.63472                   -91.63472
## 31          324.02875                   324.02875
## 32         -115.85426                  -115.85426
## 33          113.65150                   113.65150
## 34          217.94310                   217.94310
## 35         -112.69538                  -112.69538
## 36           21.38352                    21.38352
## 37          -88.91338                   -88.91338
## 38           99.41783                    99.41783
## 39         -102.65463                  -102.65463
## 40          217.88117                   217.88117
## 41          -84.09487                   -84.09487
## 42          137.78255                   137.78255
## 43           48.89108                    48.89108
## 44          -67.16278                   -67.16278
## 45          -39.28725                   -39.28725
## 46         -415.78430                  -415.78430
## 47         -145.49859                  -145.49859
## 48         -183.60777                  -183.60777
## 49         -138.39375                  -138.39375
## 50         -232.90808                  -232.90808
## 51          434.16632                   434.16632

3. Muestre que los autovalores de x'x son positivos (use el comando eigen)

descomposicion <- eigen(x = t(matriz_x)%*%matriz_x, symmetric = TRUE)
auto_valores <- descomposicion$values
print(auto_valores)
## [1] 17956.580914   279.157317     1.681762
print(auto_valores>0)
## [1] TRUE TRUE TRUE