EJERCICIO 1
Literal 1
options(ecipen = 99999999)
load("C:/Users/Administrador/Downloads/modelo_ventas.RData")
matriz_X<-model.matrix(modelo_ventas)
matriz_XX<-t(matriz_X)%*%matriz_X
#Cálculo de la matriz A
matriz_A<-solve(matriz_XX)%*%t(matriz_X)
print(matriz_A)## 1 2 3 4
## (Intercept) -1.128647e-02 1.410378e-02 3.506392e-02 4.283381e-04
## tv -6.704103e-05 3.094914e-05 -6.120193e-04 -2.120642e-04
## periodico 1.398182e-03 -1.907247e-03 -2.546882e-03 2.293243e-04
## radio -5.800213e-04 6.486665e-04 -1.093284e-04 -1.899710e-04
## tv:radio 1.481990e-05 1.945347e-06 3.260788e-05 1.485919e-05
## 5 6 7 8
## (Intercept) -2.802264e-02 4.966826e-02 6.721406e-03 1.368577e-02
## tv 1.568308e-03 -9.621560e-04 1.116638e-04 -3.266110e-04
## periodico 2.314279e-04 -3.270782e-03 -1.147087e-03 1.873821e-05
## radio 6.159562e-04 -3.308361e-04 7.724908e-04 -1.007450e-04
## tv:radio -3.937064e-05 4.642785e-05 -8.511094e-06 4.091601e-06
## 9 10 11 12
## (Intercept) 6.237349e-02 1.900575e-02 1.907749e-02 3.605589e-03
## tv -1.402153e-03 -1.946633e-04 1.318092e-05 -3.975640e-04
## periodico -1.235903e-03 2.251710e-04 -5.248900e-04 9.478699e-04
## radio -1.313443e-03 -7.359136e-04 -3.341352e-04 -6.782492e-05
## tv:radio 4.044251e-05 7.159682e-06 7.922246e-07 2.216420e-06
## 13 14 15 16
## (Intercept) 1.489911e-02 3.634140e-02 -1.184470e-02 -3.715741e-03
## tv 2.132861e-04 -8.584443e-04 1.960448e-04 -4.854365e-04
## periodico -2.038353e-03 -2.357826e-04 8.119328e-04 9.790399e-04
## radio 3.368152e-04 -8.947699e-04 6.785235e-05 -2.985399e-04
## tv:radio 5.251734e-06 2.304953e-05 -2.557309e-06 2.032708e-05
## 17 18 19 20
## (Intercept) 1.533281e-02 -1.698620e-02 1.357943e-02 3.694513e-03
## tv 3.888414e-05 -1.332124e-04 -1.024117e-04 -5.343781e-05
## periodico -1.236525e-03 1.950991e-03 -5.804288e-04 1.385062e-04
## radio -8.337856e-04 -4.469023e-04 1.455419e-04 1.519378e-04
## tv:radio 3.057413e-05 1.102821e-05 -8.453250e-07 -3.078161e-06
## 21 22 23 24
## (Intercept) -1.573570e-02 1.061403e-02 0.0039565024 -1.153284e-03
## tv 4.947903e-04 -5.292506e-05 0.0010010281 9.036244e-05
## periodico 7.937923e-04 5.982337e-04 -0.0020168690 7.584305e-04
## radio 6.684885e-05 -6.264755e-04 0.0008051669 -1.805957e-04
## tv:radio -8.570347e-06 2.653757e-06 -0.0000242403 -3.687696e-06
## 25 26 27 28
## (Intercept) 2.093213e-02 1.766200e-02 1.906480e-03 4.591668e-04
## tv -2.125199e-04 -2.941603e-04 -6.089947e-05 -2.752291e-05
## periodico -5.751502e-04 5.717586e-04 -4.463212e-05 8.924833e-04
## radio -2.223157e-04 -8.421747e-04 4.748021e-04 -2.705485e-04
## tv:radio 4.605371e-06 9.579634e-06 -6.627237e-06 -1.017345e-06
## 29 30 31 32
## (Intercept) -9.229297e-03 -7.425570e-04 -2.073713e-02 -1.693244e-03
## tv 2.560012e-05 6.484761e-04 3.024558e-04 5.302390e-04
## periodico 1.140034e-03 -6.316133e-04 1.724819e-03 -3.108545e-04
## radio 7.229892e-05 3.496591e-04 -9.787075e-05 2.549417e-04
## tv:radio -5.118001e-06 -1.618543e-05 -6.563958e-06 -1.343427e-05
## 33 34 35 36
## (Intercept) 8.864198e-03 1.027582e-02 4.236432e-02 3.033028e-02
## tv 3.493553e-04 -6.687179e-04 -1.063045e-03 -9.256622e-04
## periodico -4.168349e-05 1.195095e-03 6.961331e-05 8.200359e-04
## radio -3.351418e-04 -4.496078e-04 -1.364120e-03 -1.302987e-03
## tv:radio -7.465636e-06 1.074002e-05 3.137340e-05 2.639173e-05
## 37 38 39 40
## (Intercept) -3.691371e-02 1.189641e-02 8.312018e-03 -1.642179e-02
## tv 3.511957e-04 -3.451969e-04 2.824773e-04 5.537035e-05
## periodico 1.998789e-03 -1.249476e-03 -1.302071e-03 1.259943e-03
## radio 1.107036e-03 4.595454e-04 5.621722e-04 2.544078e-04
## tv:radio -2.740139e-05 1.270793e-05 -8.200132e-06 -4.675563e-06
## 41 42 43 44
## (Intercept) -7.098669e-03 -6.645943e-03 -7.827523e-03 5.624190e-03
## tv 2.225813e-04 1.553643e-04 -2.992073e-04 1.084722e-04
## periodico 7.473347e-04 2.683898e-04 1.648737e-03 5.100269e-04
## radio 2.979714e-05 2.826183e-04 5.696139e-05 -3.936878e-04
## tv:radio -7.123256e-06 -4.170304e-06 -3.001041e-06 -2.342030e-06
## 45 46 47 48
## (Intercept) 8.840056e-03 -2.874908e-03 1.009775e-03 -2.451540e-02
## tv 4.605731e-04 2.287565e-04 5.623451e-04 1.415854e-04
## periodico -1.710332e-03 2.657820e-04 -2.538277e-04 1.523566e-03
## radio 6.360170e-04 1.369731e-04 8.691167e-05 6.632482e-04
## tv:radio -1.057989e-05 -7.309017e-06 -1.413098e-05 -1.407076e-05
## 49 50 51 52
## (Intercept) -1.878765e-02 2.726160e-03 -1.787389e-03 3.598769e-02
## tv 9.599100e-04 5.869651e-04 6.024475e-04 -9.660068e-04
## periodico 5.354481e-04 -6.055750e-04 3.427554e-04 -5.860236e-05
## radio 2.640272e-04 2.173462e-04 -1.874531e-04 -9.057943e-04
## tv:radio -2.327068e-05 -1.482293e-05 -1.462919e-05 2.476176e-05
## 53 54 55 56
## (Intercept) -1.568181e-02 7.439684e-04 -1.116839e-02 2.541883e-05
## tv -6.715949e-05 -5.134907e-04 -6.223687e-05 -7.449449e-04
## periodico 1.345269e-03 7.278425e-04 1.418155e-03 1.258892e-03
## radio 1.036984e-04 -4.343122e-04 1.148652e-04 -6.898740e-04
## tv:radio 1.767024e-06 2.405979e-05 -5.442162e-06 3.168547e-05
## 57 58 59 60
## (Intercept) 1.831083e-02 1.065382e-02 -1.579016e-02 -5.853894e-03
## tv 3.797467e-04 -1.854524e-04 -2.119036e-04 -1.155820e-04
## periodico -2.664944e-03 2.526683e-05 1.251592e-03 8.915728e-04
## radio 8.511475e-04 -6.527219e-05 2.670703e-04 3.071536e-04
## tv:radio -8.906550e-06 1.426743e-06 4.245123e-06 -6.380628e-06
## 61 62 63 64
## (Intercept) 2.498756e-02 -1.302880e-02 -2.445181e-03 4.949873e-03
## tv -1.730577e-04 -2.816066e-04 1.286648e-04 -9.602718e-05
## periodico -4.346430e-04 1.736434e-03 8.874503e-04 -3.313392e-04
## radio -6.103788e-04 -4.342721e-04 -2.325456e-04 5.819573e-04
## tv:radio 6.783625e-06 1.501912e-05 -4.268503e-06 -7.163908e-06
## 65 66 67 68
## (Intercept) -8.217129e-03 4.273554e-02 2.294731e-02 1.820830e-02
## tv 6.580937e-05 -1.100340e-03 -3.618916e-04 -5.213747e-04
## periodico 1.079112e-05 -4.158651e-04 -1.271053e-03 3.742161e-04
## radio 7.277638e-04 -9.321364e-04 4.476366e-04 -5.045983e-04
## tv:radio -7.124280e-06 2.837397e-05 6.298279e-07 1.117128e-05
## 69 70 71 72
## (Intercept) -5.873309e-03 -1.941033e-02 -1.092974e-02 1.720050e-03
## tv -1.552554e-04 5.928086e-05 2.086633e-04 3.228599e-04
## periodico 1.142640e-03 1.140588e-03 7.513926e-04 2.223314e-05
## radio 1.226760e-04 5.709426e-04 1.526556e-04 9.188374e-06
## tv:radio -3.952340e-06 -8.096259e-06 -5.496981e-06 -8.621258e-06
## 73 74 75 76
## (Intercept) 1.415591e-02 4.183082e-03 9.649808e-05 4.133115e-02
## tv 1.080555e-04 3.870429e-04 -1.824780e-04 -7.169192e-04
## periodico -1.983762e-03 1.079693e-04 7.787717e-04 -2.599398e-03
## radio 1.013933e-03 -2.139304e-04 3.246395e-05 -6.477805e-04
## tv:radio -9.976884e-06 -9.149524e-06 -1.450933e-06 4.497655e-05
## 77 78 79 80
## (Intercept) 2.905222e-02 4.019870e-03 2.568588e-02 1.421552e-02
## tv -2.130880e-04 -5.458614e-05 -2.185503e-05 -4.918203e-05
## periodico -7.403821e-04 -2.232754e-04 -2.760304e-03 3.913355e-05
## radio -5.918943e-04 4.600174e-04 1.115097e-03 -4.235220e-04
## tv:radio 8.015092e-06 -5.969221e-06 -8.794800e-06 1.929415e-06
## 81 82 83 84
## (Intercept) 8.345105e-03 -0.0067821677 4.921868e-03 5.786402e-03
## tv 5.611272e-05 0.0007153471 2.982240e-04 -1.629653e-05
## periodico -8.027705e-04 0.0005249677 -6.138538e-04 -1.299317e-03
## radio 4.748634e-04 -0.0001189448 2.863517e-04 8.282945e-04
## tv:radio -5.880627e-06 -0.0000177861 -8.593964e-06 -1.622635e-06
## 85 86 87 88
## (Intercept) -1.519683e-02 -2.826804e-02 9.478257e-03 6.974223e-03
## tv -1.910786e-05 1.351945e-03 -3.594829e-05 -1.952482e-04
## periodico 1.025334e-03 4.564215e-04 -7.790619e-04 -4.284174e-04
## radio 3.629865e-04 4.660880e-04 5.200097e-04 -1.561016e-04
## tv:radio -2.475481e-06 -3.065541e-05 -5.520579e-06 1.652708e-05
## 89 90 91 92
## (Intercept) -1.345947e-02 9.330950e-03 0.0324700557 1.006202e-02
## tv 1.012771e-03 -4.235054e-04 -0.0008446069 5.505147e-04
## periodico -5.531002e-04 -6.062119e-04 0.0003259917 -6.964193e-04
## radio 4.064257e-04 9.972553e-05 -0.0011152082 -6.211493e-05
## tv:radio -1.719827e-05 1.793239e-05 0.0000238975 -1.293978e-05
## 93 94 95 96
## (Intercept) -1.256167e-02 -1.359268e-02 0.0226058265 -8.511490e-03
## tv 2.324576e-04 2.954089e-05 -0.0004968032 3.095457e-04
## periodico 8.750905e-04 1.487577e-03 -0.0001259276 2.884192e-04
## radio -1.285566e-04 -5.994048e-04 -0.0004127950 1.131399e-04
## tv:radio 1.429484e-06 1.306496e-05 0.0000108430 -3.180198e-06
## 97 98 99 100
## (Intercept) 3.711720e-02 9.731099e-04 -1.776733e-02 -3.069311e-04
## tv -1.091431e-03 -1.998235e-05 -2.292064e-04 -9.846864e-05
## periodico 5.648330e-04 5.432246e-04 2.089219e-03 -1.506631e-04
## radio -1.392184e-03 -3.980793e-05 -3.976146e-04 2.434359e-04
## tv:radio 3.115892e-05 -2.490315e-06 1.179114e-05 5.777537e-06
## 101 102 103 104
## (Intercept) -0.0225338310 -1.477603e-02 6.267206e-03 7.047658e-03
## tv 0.0014546750 2.311872e-05 -1.364109e-04 -1.868757e-04
## periodico 0.0002772215 1.917001e-03 9.649938e-04 5.500812e-04
## radio 0.0004411293 -1.223760e-03 -5.802535e-04 -2.564949e-04
## tv:radio -0.0000376632 2.504818e-05 3.477592e-06 2.322845e-06
## 105 106 107 108
## (Intercept) -1.558435e-02 6.061965e-03 1.589634e-02 2.129270e-02
## tv 8.587482e-06 -5.184297e-04 2.939545e-04 -7.684510e-05
## periodico 1.254319e-03 1.638959e-04 -1.228174e-03 -1.836395e-04
## radio 5.918937e-04 -3.298746e-04 1.506589e-04 -6.501441e-04
## tv:radio -1.338196e-05 2.443714e-05 -7.469916e-06 4.553308e-06
## 109 110 111 112
## (Intercept) 2.590811e-02 -5.860740e-03 -3.061337e-02 -1.873313e-02
## tv 9.901391e-05 -2.685841e-04 1.618507e-03 8.171129e-05
## periodico -1.145511e-03 1.438678e-03 5.116632e-04 1.331667e-03
## radio -3.291804e-04 3.386971e-05 5.634858e-04 4.395652e-04
## tv:radio -2.575464e-07 -2.297405e-06 -4.137368e-05 -9.291272e-06
## 113 114 115 116
## (Intercept) 2.231473e-02 6.912750e-03 3.504508e-03 5.788955e-03
## tv -7.895689e-04 -3.409355e-04 -3.798319e-05 1.746561e-04
## periodico 5.461166e-04 7.116478e-04 -1.147878e-03 -1.078270e-03
## radio -6.343376e-04 -1.994109e-04 8.721890e-04 3.540657e-04
## tv:radio 1.686494e-05 3.836647e-06 -1.865400e-06 9.186797e-07
## 117 118 119 120
## (Intercept) 7.621529e-03 3.207311e-02 3.488765e-03 2.374971e-02
## tv 8.459774e-05 -6.124680e-04 2.447478e-05 2.781209e-06
## periodico -8.596092e-06 3.257176e-05 -2.820461e-04 -1.641919e-03
## radio -1.120090e-04 -1.059557e-03 -3.787301e-04 2.358820e-04
## tv:radio -3.007049e-06 1.919778e-05 1.640435e-05 -1.574375e-06
## 121 122 123 124
## (Intercept) -8.371459e-03 5.790768e-03 0.0246214091 -2.274499e-03
## tv 4.332533e-04 7.734642e-04 -0.0005429257 7.232554e-05
## periodico 1.637105e-04 -1.934250e-03 0.0005456834 -2.942816e-04
## radio 2.300489e-04 7.332680e-04 -0.0010511815 8.323972e-04
## tv:radio -9.110407e-06 -1.741039e-05 0.0000166963 -1.233571e-05
## 125 126 127 128
## (Intercept) -1.607822e-02 1.148430e-02 2.429210e-02 4.260889e-02
## tv 4.033877e-04 1.025161e-04 3.911501e-05 -9.904250e-04
## periodico 9.978288e-04 -3.138293e-04 -2.941077e-03 -5.357818e-05
## radio -2.999755e-04 -1.218035e-04 7.410967e-04 -1.345943e-03
## tv:radio 2.109399e-06 -2.888536e-06 4.259761e-06 2.996835e-05
## 129 130 131 132
## (Intercept) -4.184895e-02 -3.402105e-03 2.635875e-02 -1.680636e-02
## tv 6.013395e-04 8.549938e-04 3.083029e-04 1.100018e-03
## periodico 1.497795e-03 -6.492798e-04 -4.348106e-03 6.659311e-04
## radio 1.657051e-03 3.888761e-04 2.080201e-03 8.961022e-05
## tv:radio -3.768111e-05 -2.141744e-05 -2.206911e-05 -2.816220e-05
## 133 134 135 136
## (Intercept) 2.919608e-02 -1.279917e-02 1.695420e-02 -4.564049e-03
## tv -2.252402e-04 1.673414e-04 -4.276786e-05 4.917033e-04
## periodico -2.477061e-03 9.475913e-04 -1.769446e-03 -2.008844e-03
## radio 9.033091e-04 4.893695e-05 1.462112e-04 2.058374e-03
## tv:radio -4.357890e-06 -2.109586e-06 1.305045e-05 -3.052679e-05
## 137 138 139 140
## (Intercept) 7.785945e-03 -2.259615e-02 1.455876e-02 -2.706945e-02
## tv 2.373260e-04 5.011279e-04 3.022135e-05 4.306249e-04
## periodico -2.125303e-03 1.495386e-03 -1.362978e-03 6.901625e-04
## radio 1.550631e-03 -1.393280e-04 5.639112e-04 1.502992e-03
## tv:radio -1.977492e-05 -6.599755e-06 -5.442513e-06 -3.119953e-05
## 141 142 143 144
## (Intercept) 2.021770e-02 -0.0082726940 -1.402242e-02 1.684741e-03
## tv -3.387613e-04 0.0001422678 1.372529e-04 5.605453e-04
## periodico -4.729170e-04 0.0007072714 1.111116e-03 -7.458885e-05
## radio -1.266876e-04 -0.0004324584 1.105908e-04 -6.142670e-05
## tv:radio 5.712816e-06 0.0000109961 -4.031128e-06 -1.374589e-05
## 145 146 147 148
## (Intercept) -1.988298e-03 3.763194e-02 2.629464e-02 -1.543522e-02
## tv 6.006327e-04 -9.518722e-04 -8.125497e-04 -3.641218e-04
## periodico -3.106293e-04 2.526885e-04 7.436004e-04 1.733909e-03
## radio 2.359902e-04 -1.300774e-03 -1.074400e-03 -1.204526e-04
## tv:radio -1.515365e-05 2.809328e-05 2.194616e-05 1.218465e-05
## 149 150 151 152
## (Intercept) 4.032549e-03 1.333848e-02 -1.215693e-02 -1.696418e-02
## tv 2.496545e-04 2.789553e-05 5.157614e-04 1.229439e-03
## periodico -1.813651e-03 -1.219077e-03 1.047340e-03 4.097211e-05
## radio 1.497146e-03 5.288003e-04 -1.047118e-04 4.129589e-04
## tv:radio -1.947075e-05 -5.332999e-06 -1.315815e-05 -3.126069e-05
## 153 154 155 156
## (Intercept) 1.417535e-03 -8.470400e-03 7.947807e-03 4.992102e-02
## tv -1.866535e-04 1.392983e-05 -3.570342e-04 -7.440677e-04
## periodico 7.397711e-04 4.560804e-04 6.032608e-04 -2.263069e-03
## radio -2.669888e-05 3.267175e-04 -1.563842e-04 -2.323027e-04
## tv:radio -5.660540e-07 -1.153531e-06 3.807189e-06 1.812879e-05
## 157 158 159 160
## (Intercept) 7.782880e-03 1.604421e-02 1.980209e-02 -8.384909e-04
## tv -2.111356e-04 -1.006840e-05 1.294380e-04 3.752240e-04
## periodico -7.708311e-04 1.415707e-04 -2.639098e-03 -7.396010e-05
## radio 2.225489e-04 -6.333972e-04 8.090011e-04 1.596440e-04
## tv:radio 1.127609e-05 2.441521e-06 -6.920975e-07 -1.006745e-05
## 161 162 163 164
## (Intercept) -1.790463e-03 4.687859e-03 6.411912e-04 -0.0113002582
## tv 2.439765e-04 1.313246e-04 7.568468e-05 0.0001188405
## periodico 3.713792e-04 -9.227419e-04 5.275872e-04 0.0003582426
## radio 4.212692e-06 3.693030e-04 -1.009962e-04 0.0009174504
## tv:radio -7.238300e-06 7.849008e-07 -3.640183e-06 -0.0000166088
## 165 166 167 168
## (Intercept) 2.587324e-02 -7.225834e-02 1.468504e-02 1.665351e-02
## tv -6.912295e-04 3.553814e-03 1.679935e-04 -2.788362e-04
## periodico -3.379496e-05 1.830439e-04 -2.467258e-03 5.314855e-04
## radio -5.019177e-04 1.896643e-03 1.273809e-03 -7.620664e-04
## tv:radio 1.503164e-05 -9.459444e-05 -1.194893e-05 8.659777e-06
## 169 170 171 172
## (Intercept) -0.0202275264 2.145996e-02 2.443398e-02 -1.151739e-02
## tv 0.0007922543 -8.219371e-04 -2.153381e-04 6.798238e-04
## periodico 0.0007450594 1.060729e-03 -8.789036e-04 1.939887e-04
## radio 0.0001652481 -9.954035e-04 -2.009754e-04 2.591503e-04
## tv:radio -0.0000160912 2.053574e-05 5.026328e-06 -1.576635e-05
## 173 174 175 176
## (Intercept) 2.357564e-02 2.514494e-02 2.775837e-02 -2.110395e-02
## tv -1.232980e-04 -5.956261e-04 -6.696104e-04 -3.127074e-04
## periodico -1.578420e-03 3.189468e-04 4.748640e-04 2.179846e-03
## radio 3.275548e-04 -8.565763e-04 -1.086497e-03 -1.114754e-04
## tv:radio -3.579651e-07 1.637958e-05 1.978627e-05 9.318024e-06
## 177 178 179 180
## (Intercept) -1.266988e-02 -1.813647e-03 1.259792e-02 1.576661e-02
## tv 1.151397e-05 5.642261e-04 -5.266763e-05 -3.026122e-04
## periodico 1.330664e-03 1.672257e-04 5.600144e-04 3.789482e-04
## radio 1.699640e-04 -5.098358e-05 -7.132863e-04 -5.678584e-04
## tv:radio -6.420500e-06 -1.404644e-05 3.337299e-06 7.731302e-06
## 181 182 183 184
## (Intercept) 0.0375360999 6.249895e-03 1.182661e-02 -1.048364e-02
## tv -0.0009729864 1.664214e-04 3.134397e-04 -5.236678e-04
## periodico 0.0002714128 4.775732e-04 -5.206422e-04 2.277583e-03
## radio -0.0012900129 -4.447875e-04 -1.375444e-04 -1.088559e-03
## tv:radio 0.0000283698 -3.254349e-06 -7.157360e-06 3.015597e-05
## 185 186 187 188
## (Intercept) -8.785427e-03 -2.403901e-02 1.211205e-02 -4.594159e-03
## tv 1.827114e-04 1.806029e-04 1.331399e-04 -1.596352e-05
## periodico 1.083958e-03 1.153629e-03 1.389030e-04 6.161788e-04
## radio -7.791804e-05 8.700013e-04 -5.052878e-04 2.699566e-04
## tv:radio -6.285980e-06 -1.563611e-05 -1.664489e-06 -5.867028e-06
## 189 190 191 192
## (Intercept) 1.849131e-02 2.342024e-02 1.703599e-03 3.410062e-02
## tv -8.144124e-04 1.870478e-05 3.273062e-04 -8.016730e-04
## periodico 1.127997e-03 -1.399889e-03 -1.886755e-03 -3.617666e-04
## radio -8.439192e-04 5.865675e-05 1.728106e-03 -6.874994e-04
## tv:radio 1.843973e-05 -8.807575e-07 -2.479561e-05 1.995866e-05
## 193 194 195 196
## (Intercept) 1.595371e-02 -2.143367e-02 -8.586354e-03 3.609475e-02
## tv 4.487800e-04 3.311492e-04 8.016567e-05 -5.975327e-04
## periodico -1.218500e-03 4.979461e-04 2.356738e-04 -6.265249e-04
## radio 4.599813e-05 1.343107e-03 8.890881e-04 -8.052848e-04
## tv:radio -1.048754e-05 -2.656952e-05 -1.558263e-05 1.780196e-05
## 197 198 199 200
## (Intercept) 3.769835e-02 2.808613e-02 -1.282058e-02 0.0246735133
## tv -9.029173e-04 -8.561509e-04 -3.777848e-04 -0.0007715129
## periodico -8.300596e-05 5.274169e-04 2.132624e-03 0.0007233832
## radio -1.073063e-03 -9.693913e-04 -8.426392e-04 -0.0009870685
## tv:radio 2.548349e-05 2.210282e-05 2.311277e-05 0.0000202718matriz_P<-matriz_X%*%matriz_A
print(matriz_P)## 1 2 3 4 5
## 1 3.181459e-02 0.0037034602 0.0175878610 2.250872e-02 5.917854e-03
## 2 3.703460e-03 0.0246048049 0.0344728495 1.212022e-02 -4.597074e-04
## 3 1.758786e-02 0.0344728495 0.0676682205 2.641047e-02 -1.414709e-02
## 4 2.250872e-02 0.0121202208 0.0264104733 2.031981e-02 -1.677629e-03
## 5 5.917854e-03 -0.0004597074 -0.0141470892 -1.677629e-03 4.837246e-02
## 6 1.974129e-02 0.0415471420 0.0850681470 3.138114e-02 -2.300480e-02
## 7 -3.964913e-03 0.0151013072 0.0121764407 3.373267e-03 1.419930e-03
## 8 -1.607113e-03 0.0024432890 -0.0003834528 6.504267e-04 -3.653982e-03
## 9 -5.829162e-03 0.0063462287 0.0220657545 9.492958e-04 -2.413265e-02
## 10 1.421804e-03 -0.0036631551 -0.0033947436 -1.311471e-03 7.110009e-03
## 11 -2.168503e-03 0.0024857405 0.0022926063 -1.747623e-03 9.967185e-03
## 12 2.759271e-04 -0.0032037695 -0.0111934245 4.375016e-04 -6.719194e-03
## 13 1.107980e-02 0.0258646152 0.0428880590 1.626574e-02 8.010246e-03
## 14 -1.804019e-03 0.0008626337 0.0069060350 4.952366e-04 -1.195906e-02
## 15 1.554083e-02 0.0035749666 0.0042721338 1.126839e-02 9.198107e-03
## 16 2.621480e-02 0.0088688054 0.0227034141 2.278002e-02 -9.839149e-03
## 17 3.915388e-02 0.0256493572 0.0655093769 3.416510e-02 1.193130e-02
## 18 2.886666e-02 -0.0007202930 0.0064928948 1.950186e-02 2.531157e-03
## 19 -3.044620e-03 0.0071457201 0.0050758153 8.189455e-04 1.149745e-03
## 20 7.491250e-04 0.0032402654 -0.0015379015 1.968809e-03 2.059947e-03
## 21 1.615551e-02 0.0022716014 0.0017427388 9.949161e-03 1.871645e-02
## 22 3.433394e-03 -0.0054681525 -0.0078040763 -8.765953e-04 1.014826e-02
## 23 -4.316663e-03 0.0168062511 0.0144227775 -1.078210e-04 2.980589e-02
## 24 5.388466e-03 -0.0028238544 -0.0078571873 1.795623e-03 9.631299e-03
## 25 -2.842055e-03 0.0047916106 0.0053003997 -1.953947e-04 1.605219e-03
## 26 3.165795e-03 -0.0057765720 -0.0055901992 -6.057810e-04 4.805308e-03
## 27 -2.681876e-03 0.0056091483 -0.0020158956 1.115757e-03 -1.277872e-03
## 28 5.390598e-03 -0.0039360203 -0.0088022958 1.728407e-03 6.801279e-03
## 29 7.082428e-03 -0.0024483251 -0.0098140645 3.979545e-03 4.524996e-03
## 30 1.053252e-03 0.0069889995 0.0028884407 8.445642e-04 2.254848e-02
## 31 1.744206e-02 -0.0046387344 -0.0091074919 8.964771e-03 1.397943e-02
## 32 2.625373e-03 0.0051955492 0.0011305214 1.646147e-03 1.954280e-02
## 33 -7.829225e-05 -0.0022167758 -0.0064433622 -3.348367e-03 2.040057e-02
## 34 1.510274e-03 -0.0060880287 -0.0114263483 6.446965e-04 -1.144240e-02
## 35 8.416577e-04 -0.0028577552 0.0065243581 9.256259e-04 -1.376413e-02
## 36 4.178794e-03 -0.0073185847 -0.0020501923 1.300105e-03 -1.057639e-02
## 37 1.732765e-03 -0.0053479204 -0.0303344305 1.262853e-04 4.053882e-03
## 38 1.100707e-02 0.0239175299 0.0378695407 1.826930e-02 -1.140309e-02
## 39 -1.115782e-03 0.0150694185 0.0154985910 4.154417e-03 8.911453e-03
## 40 1.264104e-02 0.0008899392 -0.0040621941 9.336971e-03 2.863736e-03
## 41 7.313660e-03 -0.0007424149 -0.0060140321 3.768510e-03 1.136973e-02
## 42 9.811140e-03 0.0068675687 0.0063238146 9.004553e-03 6.311546e-03
## 43 2.207548e-03 -0.0072554645 -0.0201607339 2.723174e-04 -5.310161e-03
## 44 3.394473e-03 -0.0038024488 -0.0076354001 -5.124565e-04 1.280932e-02
## 45 -7.196211e-04 0.0180678107 0.0203916189 4.848410e-03 1.387028e-02
## 46 4.887768e-03 0.0026344608 -0.0015122830 3.422348e-03 1.078242e-02
## 47 6.364770e-04 0.0021011897 -0.0033398654 -1.340547e-03 2.260230e-02
## 48 7.218179e-03 -0.0011585876 -0.0148485246 5.349817e-03 1.695566e-03
## 49 8.581239e-03 -0.0007964303 -0.0091883803 1.954072e-03 3.235259e-02
## 50 -5.966116e-04 0.0051694004 0.0005973611 -9.760684e-04 2.219122e-02
## 51 2.124699e-03 -0.0043484704 -0.0119877971 -3.289900e-03 2.656568e-02
## 52 -1.623302e-03 0.0001020848 0.0056863913 8.084888e-04 -1.534792e-02
## 53 1.794312e-02 0.0024873711 0.0025554716 1.382880e-02 -1.551011e-05
## 54 2.781336e-02 0.0107309188 0.0285241240 2.436240e-02 -9.370305e-03
## 55 5.972562e-03 -0.0043581066 -0.0143310569 3.022021e-03 1.299242e-03
## 56 3.310110e-02 0.0085691126 0.0292305850 2.779753e-02 -1.470564e-02
## 57 -5.429990e-03 0.0253858461 0.0305803883 4.858263e-03 9.685108e-03
## 58 -3.563637e-04 0.0025162950 -0.0004207625 1.023629e-03 3.442756e-04
## 59 1.840577e-02 0.0056895900 0.0069264375 1.625436e-02 -6.457950e-03
## 60 7.718026e-04 -0.0010323673 -0.0117697000 1.148181e-03 -1.809726e-03
## 61 -1.921627e-03 0.0006979854 0.0025139247 -1.996278e-03 6.960573e-03
## 62 2.873016e-02 0.0018831118 0.0114454927 2.097276e-02 -2.291898e-03
## 63 6.115473e-03 -0.0041175800 -0.0095268177 1.582491e-03 1.131323e-02
## 64 -5.758882e-03 0.0073465166 -0.0008618847 -7.101528e-05 -3.165671e-03
## 65 5.449429e-03 0.0108369324 0.0071867691 8.676384e-03 -8.682326e-04
## 66 -3.613872e-03 0.0024431192 0.0100832760 7.278373e-04 -1.906002e-02
## 67 -1.161771e-02 0.0121155014 0.0085973604 -1.728730e-03 -9.352013e-03
## 68 5.469009e-04 -0.0014442658 -0.0020694491 7.813228e-04 -5.816314e-03
## 69 2.934147e-03 -0.0031759488 -0.0129470052 1.700562e-03 -1.368084e-03
## 70 1.030267e-02 0.0032133517 -0.0042415718 9.177453e-03 -1.750268e-04
## 71 1.150713e-02 0.0025518083 0.0000402868 8.201520e-03 9.130784e-03
## 72 2.349486e-03 0.0015927828 -0.0027003456 5.687564e-04 1.552351e-02
## 73 -9.978274e-03 0.0205623129 0.0179995065 1.548324e-03 -4.663288e-04
## 74 1.333042e-03 -0.0018627594 -0.0069135842 -2.118511e-03 2.009795e-02
## 75 2.111718e-03 -0.0013298794 -0.0084317867 1.664044e-03 -1.078586e-03
## 76 2.743539e-02 0.0362243559 0.0808056666 3.321476e-02 -1.269759e-02
## 77 -3.463964e-03 0.0026867197 0.0057266833 -2.190870e-03 5.719769e-03
## 78 -2.917267e-03 0.0067346299 0.0002880732 1.272770e-03 -8.449312e-04
## 79 -1.768365e-02 0.0242281819 0.0217083151 -1.853458e-03 -4.702395e-03
## 80 7.147327e-04 -0.0008202598 -0.0021312910 -7.675508e-04 8.490997e-03
## 81 -2.945595e-03 0.0107661079 0.0078586718 2.180415e-03 2.685843e-03
## 82 3.301367e-03 -0.0052594894 -0.0143612386 -3.106977e-03 2.926354e-02
## 83 3.371442e-04 0.0080091104 0.0056872082 2.074552e-03 1.209165e-02
## 84 3.008872e-03 0.0212144913 0.0254307236 1.108387e-02 -4.004360e-03
## 85 1.338641e-02 0.0044826317 0.0018014995 1.166449e-02 -7.270034e-04
## 86 1.280438e-02 0.0014341410 -0.0064509846 4.448956e-03 4.227214e-02
## 87 -5.010777e-03 0.0104062858 0.0060499645 1.101041e-03 -5.368574e-04
## 88 2.132525e-02 0.0168712816 0.0348646588 2.110973e-02 -1.216796e-03
## 89 1.477712e-02 0.0119540647 0.0155312148 1.078879e-02 3.209347e-02
## 90 1.730354e-02 0.0196293652 0.0359622466 2.078517e-02 -1.083455e-02
## 91 1.582923e-03 -0.0037024430 0.0017972966 7.708485e-04 -9.621315e-03
## 92 -3.428544e-03 0.0022714935 -0.0022748569 -4.445140e-03 2.439605e-02
## 93 2.174365e-02 0.0045044969 0.0103322401 1.537059e-02 1.181572e-02
## 94 3.284429e-02 0.0028105239 0.0163342165 2.246580e-02 9.089004e-03
## 95 -1.796909e-03 0.0018859775 0.0025491337 3.619854e-04 -5.651231e-03
## 96 1.524119e-02 0.0072582994 0.0106996491 1.192185e-02 1.250268e-02
## 97 2.952671e-03 -0.0057179048 0.0019451929 1.502198e-03 -1.471907e-02
## 98 3.576789e-03 -0.0002569184 -0.0051082293 2.193005e-03 4.813121e-03
## 99 2.835628e-02 -0.0011039459 0.0050339774 1.954114e-02 -1.059394e-03
## 100 1.386391e-02 0.0134925461 0.0210193258 1.515811e-02 -1.727939e-03
## 101 2.413055e-03 -0.0034638990 -0.0187006193 -5.084294e-03 4.700460e-02
## 102 4.845143e-02 0.0025058317 0.0281586535 3.201733e-02 1.388520e-02
## 103 5.316900e-03 -0.0064891634 -0.0097834932 5.771213e-04 6.675879e-03
## 104 2.653151e-03 -0.0016227621 -0.0051715226 1.310801e-03 1.925084e-03
## 105 9.995288e-05 -0.0026092937 -0.0187224118 2.366563e-04 -9.499388e-04
## 106 2.526116e-02 0.0147343483 0.0342491339 2.418343e-02 -1.024973e-02
## 107 -4.749254e-03 0.0090616684 0.0079997782 -1.454019e-03 1.413553e-02
## 108 -7.485001e-04 -0.0015631086 -0.0010986470 -2.450001e-03 1.028630e-02
## 109 -5.672610e-03 0.0050670562 0.0061879253 -3.708917e-03 1.319585e-02
## 110 2.618834e-03 -0.0057525446 -0.0168470426 8.908024e-04 -4.070336e-03
## 111 5.771231e-03 -0.0034843573 -0.0194326500 -3.153845e-03 5.049834e-02
## 112 8.662951e-03 -0.0003918361 -0.0100643251 6.388678e-03 2.104422e-03
## 113 -1.175903e-04 -0.0026527589 -0.0027944289 7.764986e-04 -1.296498e-02
## 114 1.545444e-03 -0.0020989660 -0.0070448430 1.167366e-03 -3.551416e-03
## 115 3.597274e-03 0.0208242719 0.0242968873 1.156126e-02 -5.278239e-03
## 116 9.832110e-03 0.0179950102 0.0270385248 1.290082e-02 6.482524e-03
## 117 1.186060e-03 0.0016157498 -0.0013020365 5.203164e-04 9.344844e-03
## 118 5.756822e-04 -0.0028243277 0.0023639602 -5.306074e-04 -2.609638e-03
## 119 2.754303e-02 0.0158507594 0.0373582172 2.369485e-02 7.535961e-03
## 120 -7.546088e-03 0.0132788805 0.0144917051 -5.249320e-04 4.285915e-03
## 121 1.009288e-02 0.0057642174 0.0047557273 7.492325e-03 1.578081e-02
## 122 -1.256304e-03 0.0185165393 0.0196801293 3.474396e-03 2.294746e-02
## 123 3.049405e-03 -0.0059078442 -0.0030689587 -1.193038e-04 -8.682083e-04
## 124 -4.575825e-03 0.0087758902 -0.0010304012 1.086659e-03 -6.374068e-04
## 125 2.806683e-02 0.0044417069 0.0140972012 1.868722e-02 1.844232e-02
## 126 -5.171007e-04 0.0029373475 0.0008912172 -3.336806e-04 1.028551e-02
## 127 1.157018e-03 0.0321442097 0.0472168338 1.306949e-02 -6.729220e-04
## 128 4.007523e-04 -0.0023952609 0.0070207827 4.954016e-04 -1.155764e-02
## 129 -3.063197e-03 -0.0008164906 -0.0300466960 -1.564617e-03 6.720754e-03
## 130 9.101935e-05 0.0057275248 -0.0004660127 -1.081664e-03 2.884528e-02
## 131 -2.749573e-02 0.0376788482 0.0325690011 -3.453268e-03 -3.180179e-03
## 132 3.753654e-03 -0.0066637251 -0.0198491583 -4.475979e-03 3.923051e-02
## 133 -1.838769e-02 0.0210523137 0.0181502824 -3.028304e-03 -8.904895e-03
## 134 1.605427e-02 0.0027870035 0.0031460750 1.144497e-02 8.395455e-03
## 135 1.455353e-02 0.0255002355 0.0457574120 1.928658e-02 1.440959e-03
## 136 -1.697786e-02 0.0235072770 0.0082063393 -1.706439e-03 1.213916e-03
## 137 -1.587288e-02 0.0222763337 0.0127398327 -1.384722e-03 -1.496246e-03
## 138 2.259996e-02 -0.0016164633 -0.0013490171 1.268489e-02 2.029286e-02
## 139 -6.392195e-03 0.0142620123 0.0125490053 1.251770e-03 1.398814e-03
## 140 -6.815004e-03 0.0032980248 -0.0210629548 -2.415945e-03 3.536289e-03
## 141 -3.521477e-03 0.0051679782 0.0047001842 2.214570e-04 -3.431624e-03
## 142 2.961916e-02 0.0079934056 0.0232914067 2.184108e-02 1.142445e-02
## 143 1.366700e-02 0.0009246100 -0.0019237993 9.390502e-03 6.978404e-03
## 144 5.481730e-04 -0.0005880946 -0.0067065339 -2.650943e-03 2.412517e-02
## 145 1.992701e-03 0.0042853267 -0.0006231371 5.364973e-04 2.207252e-02
## 146 1.662813e-03 -0.0039965892 0.0036727348 7.749480e-04 -1.102708e-02
## 147 3.293329e-03 -0.0059438071 -0.0026066580 1.167379e-03 -9.327458e-03
## 148 2.500593e-02 0.0030381808 0.0086854932 1.980499e-02 -7.948305e-03
## 149 -1.311176e-02 0.0207572750 0.0112517037 -1.254037e-04 -8.951488e-04
## 150 -5.633951e-03 0.0132476482 0.0112425775 1.372099e-03 1.588896e-03
## 151 8.303315e-03 -0.0054408202 -0.0133350243 1.275566e-03 2.204423e-02
## 152 2.857885e-03 -0.0002684596 -0.0118643771 -2.756187e-03 4.010683e-02
## 153 2.360179e-03 -0.0013594731 -0.0076637006 1.713795e-03 -5.853487e-04
## 154 1.190548e-02 0.0076965145 0.0080635833 1.148842e-02 1.027533e-03
## 155 6.204743e-04 -0.0012784462 -0.0062521988 9.613227e-04 -4.408604e-03
## 156 -1.294278e-02 0.0158301580 0.0243132109 -1.267765e-03 -1.380081e-02
## 157 1.404482e-02 0.0189762695 0.0320652195 1.760593e-02 -4.975580e-03
## 158 9.202020e-04 -0.0035026298 -0.0046436990 -2.186207e-03 1.198170e-02
## 159 -7.949765e-04 0.0287601794 0.0391602155 1.029051e-02 1.617602e-03
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## 16 17 18 19 20
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## 200 4.133526e-03 -0.0057813367 4.979911e-03 6.099116e-03 6.161945e-03
## 21 22 23 24 25
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## 26 27 28 29 30
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## 8 7.468359e-03 8.410255e-03 6.386626e-03 0.0063695481 1.615869e-03
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## 21 3.087262e-03 1.200211e-03 6.055112e-03 0.0070906034 8.261421e-03
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## 29 4.854060e-03 8.422675e-03 8.733607e-03 0.0116867157 1.601300e-03
## 30 4.442518e-03 2.223717e-03 3.714407e-03 0.0016013005 1.411203e-02
## 31 5.068045e-03 3.655200e-03 9.469031e-03 0.0120623597 3.862780e-03
## 32 4.891569e-03 2.835077e-03 4.626500e-03 0.0031458237 1.198571e-02
## 33 1.349390e-02 6.500463e-05 7.749716e-03 0.0023611749 1.244438e-02
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## 50 6.654126e-03 1.934209e-03 4.499966e-03 0.0014134117 1.411693e-02
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## 81 82 83 84 85
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## 86 87 88 89 90
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## 40 5.396085e-03 4.522419e-03 5.568541e-03 1.631806e-03 8.138504e-03
## 41 1.082152e-02 3.115837e-03 1.857885e-03 6.306648e-03 7.455343e-04
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## 46 9.878857e-03 4.525371e-03 2.641765e-03 7.156929e-03 1.911375e-03
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## 96 97 98 99 100
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## 101 102 103 104 105
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## 14 -8.079471e-03 -3.944601e-03 1.042585e-02 9.215685e-03 4.105078e-04
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## 16 -1.336659e-02 3.421927e-02 1.763952e-03 3.110249e-03 7.432914e-03
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## 18 -3.536735e-04 4.017641e-02 6.907654e-03 5.017520e-03 9.369368e-03
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## 111 112 113 114 115
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## 200 -7.925671e-03 0.0029071784 0.0185699756 1.205482e-02 -0.0048462531
## 116 117 118 119 120
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## 2 1.799501e-02 1.615750e-03 -2.824328e-03 1.585076e-02 1.327888e-02
## 3 2.703852e-02 -1.302036e-03 2.363960e-03 3.735822e-02 1.449171e-02
## 4 1.290082e-02 5.203164e-04 -5.306074e-04 2.369485e-02 -5.249320e-04
## 5 6.482524e-03 9.344844e-03 -2.609638e-03 7.535961e-03 4.285915e-03
## 6 3.180769e-02 -2.601125e-03 4.968035e-03 4.493668e-02 1.789710e-02
## 7 9.491255e-03 3.516413e-03 -1.891368e-03 9.579008e-04 1.096383e-02
## 8 7.303542e-04 5.610335e-03 8.995916e-03 -3.643754e-03 6.373981e-03
## 9 1.533380e-03 7.423331e-03 2.943223e-02 1.398534e-03 1.636333e-02
## 10 -9.667932e-04 8.866910e-03 1.773738e-02 9.374508e-04 6.930846e-03
## 11 2.925035e-03 8.523146e-03 1.408067e-02 1.761337e-03 1.084365e-02
## 12 -3.688557e-03 4.833455e-03 6.603602e-03 -8.835643e-03 7.014737e-04
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## 34 9.015069e-03 1.467482e-02 1.775113e-02 7.459635e-03 1.740919e-02
## 35 2.477805e-02 2.898993e-02 2.563292e-02 3.703492e-03 2.466458e-02
## 36 2.031493e-02 2.544962e-02 2.435557e-02 8.616494e-03 2.403445e-02
## 37 -1.417949e-02 -1.034386e-02 -4.170540e-04 7.613247e-03 3.958037e-04
## 38 -1.413527e-05 -2.634468e-04 -1.275989e-03 1.181677e-02 -2.946878e-03
## 39 3.975805e-03 3.991780e-04 -1.806504e-03 -5.379200e-03 -2.457031e-03
## 40 -5.379539e-03 -2.690818e-03 2.147554e-03 1.705747e-02 2.781250e-03
## 41 1.399233e-03 1.816670e-03 3.744873e-03 8.139229e-03 4.575367e-03
## 42 -1.629401e-03 -1.564801e-03 1.639116e-04 1.075797e-02 4.206450e-04
## 43 6.313392e-04 5.901644e-03 1.171250e-02 8.456022e-03 1.192778e-02
## 44 9.421081e-03 9.428050e-03 9.046062e-03 2.764068e-03 9.841313e-03
## 45 4.010498e-03 -1.322951e-03 -4.819278e-03 -6.987069e-03 -5.393243e-03
## 46 2.435476e-03 1.937177e-03 2.829959e-03 4.477087e-03 3.307859e-03
## 47 6.441091e-03 2.967649e-03 1.326991e-03 -3.875067e-03 2.191046e-03
## 48 -9.246851e-03 -5.898517e-03 1.223112e-03 1.244258e-02 1.783342e-03
## 49 -1.682784e-03 -5.448410e-03 -4.720105e-03 4.799662e-03 -2.731904e-03
## 50 6.271230e-03 2.083174e-03 -1.295644e-04 -5.944055e-03 4.781771e-04
## 51 7.690785e-03 4.918011e-03 3.841501e-03 -1.713128e-03 5.340175e-03
## 52 2.012431e-02 2.413899e-02 2.210507e-02 1.347911e-03 2.086100e-02
## 53 -5.910656e-03 -2.598434e-03 2.177385e-03 2.344497e-02 2.784526e-03
## 54 -1.189063e-03 2.471569e-03 4.166947e-03 3.396559e-02 4.094757e-03
## 55 -1.102155e-03 2.430436e-03 7.330008e-03 1.056744e-02 7.874086e-03
## 56 -1.621917e-03 4.079829e-03 6.841677e-03 4.193539e-02 6.851338e-03
## 57 5.992234e-03 -6.460610e-04 -5.984526e-03 -1.352160e-02 -7.442149e-03
## 58 8.117947e-03 9.133538e-03 9.268229e-03 2.466565e-04 8.924368e-03
## 59 -7.997415e-03 -3.889005e-03 1.610456e-03 2.511751e-02 1.752034e-03
## 60 1.377004e-04 3.109953e-03 7.295266e-03 4.389435e-03 7.251740e-03
## 61 1.738405e-02 1.664814e-02 1.304380e-02 -4.326975e-03 1.291604e-02
## 62 -4.557998e-03 1.777621e-06 4.250486e-03 3.612766e-02 5.178435e-03
## 63 4.996647e-03 5.896381e-03 7.320902e-03 7.067351e-03 8.246775e-03
## 64 2.893973e-03 3.525318e-03 5.079964e-03 -5.332599e-03 4.143320e-03
## 65 -4.897986e-03 -4.296119e-03 -1.313656e-03 7.172358e-03 -1.774256e-03
## 66 2.239014e-02 2.634758e-02 2.339024e-02 -9.702761e-04 2.169655e-02
## 67 9.981624e-03 9.905198e-03 8.562241e-03 -1.286984e-02 6.663549e-03
## 68 1.256076e-02 1.558591e-02 1.563361e-02 3.103285e-03 1.518312e-02
## 69 9.203270e-04 4.396976e-03 8.664494e-03 7.149415e-03 8.846647e-03
## 70 -8.224687e-03 -5.390167e-03 3.964784e-04 1.506782e-02 6.936449e-04
## 71 -2.055454e-03 -1.421223e-03 1.116046e-03 1.317201e-02 1.855845e-03
## 72 5.938284e-03 4.253722e-03 3.643252e-03 7.568608e-05 4.260833e-03
## 73 3.812616e-03 3.609556e-04 -1.708940e-03 -1.443131e-02 -3.513069e-03
## 74 9.086122e-03 6.954027e-03 5.508030e-03 -1.865877e-03 6.472774e-03
## 75 3.542998e-03 6.273998e-03 9.112472e-03 5.204443e-03 9.115111e-03
## 76 1.158195e-02 8.920932e-03 1.232099e-04 2.543245e-02 -1.943756e-03
## 77 1.870394e-02 1.756234e-02 1.318401e-02 -6.508350e-03 1.278663e-02
## 78 2.966965e-03 3.429119e-03 4.735469e-03 -2.563344e-03 4.062614e-03
## 79 8.082761e-03 3.848808e-03 6.104208e-05 -2.376769e-02 -2.560535e-03
## 80 1.236571e-02 1.219806e-02 1.057775e-02 -4.658005e-04 1.081410e-02
## 81 4.475134e-03 3.106172e-03 2.494978e-03 -4.817113e-03 1.719997e-03
## 82 5.731123e-03 2.815571e-03 2.350825e-03 -4.876554e-04 4.122238e-03
## 83 4.992763e-03 2.445129e-03 1.124730e-03 -2.856864e-03 1.110399e-03
## 84 -1.331465e-03 -2.954739e-03 -3.342601e-03 1.851768e-03 -4.764306e-03
## 85 -6.451328e-03 -3.725482e-03 1.033587e-03 1.804685e-02 1.312873e-03
## 86 -5.983139e-03 -1.182288e-02 -1.126339e-02 7.210844e-03 -8.675354e-03
## 87 4.703455e-03 3.959111e-03 3.783700e-03 -6.276611e-03 2.785111e-03
## 88 1.290122e-03 1.128125e-03 -2.271618e-04 2.251976e-02 -5.711478e-04
## 89 -3.061161e-03 -9.312211e-03 -1.130130e-02 8.733731e-03 -9.851419e-03
## 90 1.639766e-04 1.220692e-03 8.557859e-04 1.988417e-02 -2.774461e-04
## 91 2.038595e-02 2.427483e-02 2.228821e-02 4.475725e-03 2.168748e-02
## 92 1.147580e-02 6.947977e-03 3.323301e-03 -9.839203e-03 4.017135e-03
## 93 -3.105735e-03 -2.763574e-03 -9.832738e-04 2.371699e-02 1.882938e-04
## 94 -3.430136e-03 -1.342442e-03 8.405232e-04 3.744694e-02 2.420491e-03
## 95 1.381920e-02 1.576789e-02 1.462080e-02 -6.832004e-04 1.385745e-02
## 96 -1.791537e-03 -2.778341e-03 -1.975717e-03 1.524478e-02 -1.218565e-03
## 97 2.278808e-02 2.817049e-02 2.626918e-02 7.430230e-03 2.554904e-02
## 98 4.551415e-03 5.786632e-03 7.280060e-03 4.906501e-03 7.549799e-03
## 99 -5.921436e-03 -8.388031e-04 4.511740e-03 3.641856e-02 5.696831e-03
## 100 -1.615125e-03 -1.143814e-03 -2.577863e-04 1.562071e-02 -6.566708e-04
## 101 -6.433378e-04 -7.395234e-03 -7.814687e-03 -5.356544e-03 -5.187640e-03
## 102 -3.136733e-03 -9.961165e-04 1.944791e-05 5.388402e-02 2.462691e-03
## 103 9.749317e-03 1.181750e-02 1.255673e-02 7.142597e-03 1.328136e-02
## 104 7.818964e-03 9.705121e-03 1.064555e-02 4.389209e-03 1.076087e-02
## 105 -4.426292e-03 -9.787455e-04 5.234013e-03 4.621624e-03 5.387286e-03
## 106 1.804682e-04 2.805999e-03 3.228548e-03 3.001155e-02 2.739297e-03
## 107 1.079481e-02 6.805831e-03 3.013540e-03 -1.040399e-02 2.732980e-03
## 108 1.666354e-02 1.588397e-02 1.267498e-02 -3.123288e-03 1.291282e-02
## 109 1.733750e-02 1.397547e-02 8.802557e-03 -1.128935e-02 8.569469e-03
## 110 1.374763e-03 5.993681e-03 1.101364e-02 8.080099e-03 1.120025e-02
## 111 -4.416974e-03 -1.142137e-02 -1.092778e-02 -1.789757e-03 -7.925671e-03
## 112 -6.332870e-03 -3.369004e-03 2.370094e-03 1.326194e-02 2.907178e-03
## 113 1.408324e-02 1.877767e-02 1.935624e-02 4.220338e-03 1.856998e-02
## 114 7.074442e-03 1.022932e-02 1.221369e-02 4.781992e-03 1.205482e-02
## 115 -2.611680e-03 -3.737883e-03 -3.431092e-03 3.164513e-03 -4.846253e-03
## 116 1.361305e-03 -1.484169e-03 -3.547617e-03 7.280349e-03 -4.026660e-03
## 117 8.155674e-03 7.555194e-03 6.832261e-03 -6.247819e-05 7.054076e-03
## 118 2.092848e-02 2.299820e-02 1.985900e-02 1.234412e-03 1.950529e-02
## 119 1.119271e-03 -2.535255e-04 -2.510590e-03 2.762080e-02 -2.107428e-03
## 120 1.210189e-02 8.938961e-03 4.850944e-03 -1.240546e-02 3.682984e-03
## 121 -7.623594e-04 -2.508467e-03 -1.905940e-03 8.816007e-03 -1.111654e-03
## 122 3.588390e-03 -3.804403e-03 -8.234336e-03 -9.939868e-03 -8.395585e-03
## 123 1.823937e-02 2.102873e-02 1.934921e-02 4.867422e-03 1.941917e-02
## 124 -1.062938e-03 -9.540518e-04 1.428652e-03 -4.328242e-03 6.470179e-04
## 125 -3.930177e-03 -4.518001e-03 -3.388553e-03 2.933668e-02 -1.619808e-03
## 126 9.915759e-03 8.559054e-03 6.818691e-03 -2.878812e-03 6.907248e-03
## 127 5.439258e-03 -1.190773e-04 -5.957615e-03 -5.146056e-03 -8.085890e-03
## 128 2.508403e-02 2.866106e-02 2.485081e-02 2.470889e-03 2.394137e-02
## 129 -1.796013e-02 -1.582550e-02 -5.660804e-03 9.810847e-04 -5.115503e-03
## 130 3.807550e-03 -1.719234e-03 -3.899144e-03 -6.574401e-03 -2.922127e-03
## 131 4.137626e-03 -4.003556e-03 -9.291546e-03 -3.810081e-02 -1.298511e-02
## 132 2.328551e-03 -2.115358e-03 -2.085173e-03 -1.542494e-03 3.508179e-04
## 133 1.038184e-02 7.597399e-03 4.189562e-03 -2.305756e-02 1.486281e-03
## 134 -3.214817e-03 -2.096011e-03 7.305307e-04 1.863227e-02 1.617438e-03
## 135 4.123548e-03 6.785578e-04 -3.831900e-03 1.142843e-02 -4.894610e-03
## 136 -6.988472e-03 -1.119262e-02 -9.804430e-03 -2.166381e-02 -1.178674e-02
## 137 -3.636299e-04 -4.093926e-03 -4.655179e-03 -2.055398e-02 -6.772509e-03
## 138 -5.168151e-03 -4.976423e-03 -1.936560e-03 2.450912e-02 1.098194e-04
## 139 6.425761e-03 4.129821e-03 2.226498e-03 -9.644611e-03 1.000212e-03
## 140 -1.191357e-02 -1.076046e-02 -3.358538e-03 -4.584451e-03 -3.483451e-03
## 141 1.177158e-02 1.249242e-02 1.115813e-02 -3.704641e-03 1.027131e-02
## 142 -1.972771e-03 -1.942403e-03 -1.676481e-03 3.159115e-02 -4.539410e-04
## 143 -3.480500e-03 -1.750956e-03 1.866835e-03 1.683383e-02 2.710096e-03
## 144 7.924247e-03 4.655080e-03 2.928069e-03 -3.908181e-03 4.005257e-03
## 145 4.039069e-03 4.186259e-04 -8.275408e-04 -2.369074e-03 -2.950711e-05
## 146 2.303812e-02 2.711409e-02 2.434929e-02 4.539596e-03 2.365196e-02
## 147 1.787811e-02 2.253239e-02 2.192672e-02 7.359953e-03 2.159187e-02
## 148 -7.105927e-03 -1.672307e-03 4.033447e-03 3.349377e-02 4.507054e-03
## 149 -1.760705e-03 -4.974445e-03 -4.819840e-03 -1.694479e-02 -6.679730e-03
## 150 6.142709e-03 4.118839e-03 2.513245e-03 -8.519564e-03 1.394203e-03
## 151 1.861074e-03 1.144601e-03 2.792903e-03 7.710840e-03 4.479536e-03
## 152 2.452471e-04 -5.825531e-03 -6.591445e-03 -4.103461e-03 -4.506511e-03
## 153 4.336289e-03 6.928131e-03 9.410032e-03 5.230031e-03 9.434620e-03
## 154 -3.662001e-03 -2.378456e-03 4.263950e-04 1.459666e-02 4.857306e-04
## 155 7.221291e-03 1.029228e-02 1.215676e-02 3.712665e-03 1.186525e-02
## 156 2.251969e-02 2.152354e-02 1.511031e-02 -1.639596e-02 1.248109e-02
## 157 4.100796e-04 1.336570e-04 -6.941688e-04 1.484860e-02 -1.625540e-03
## 158 1.476229e-02 1.432914e-02 1.204660e-02 -8.265488e-04 1.258912e-02
## 159 4.489160e-03 -8.120714e-04 -5.667438e-03 -6.872365e-03 -7.530079e-03
## 160 3.854142e-03 1.866089e-03 1.501728e-03 8.288652e-04 2.054584e-03
## 161 4.044893e-03 3.521478e-03 4.132994e-03 3.882513e-03 4.803273e-03
## 162 8.937973e-04 -1.358271e-03 -2.801525e-03 7.544691e-03 -3.299627e-03
## 163 5.135749e-03 5.732473e-03 6.722761e-03 4.741988e-03 7.228391e-03
## 164 -4.391094e-03 -3.026393e-03 1.589560e-03 -1.944009e-03 1.181509e-03
## 165 1.498786e-02 1.808368e-02 1.724365e-02 -3.449861e-05 1.621487e-02
## 166 -1.963698e-02 -3.615782e-02 -3.516245e-02 -1.567961e-02 -2.965379e-02
## 167 2.355172e-03 -2.119203e-03 -4.685481e-03 -1.683171e-02 -6.853935e-03
## 168 1.446739e-02 1.615993e-02 1.510019e-02 3.818298e-03 1.544370e-02
## 169 -3.842164e-03 -6.412134e-03 -5.041279e-03 1.341917e-02 -3.133927e-03
## 170 1.554433e-02 2.102893e-02 2.174193e-02 9.386951e-03 2.149889e-02
## 171 1.429568e-02 1.337909e-02 1.023595e-02 -6.699207e-03 9.430911e-03
## 172 -5.076786e-04 -3.485054e-03 -3.211776e-03 5.481202e-03 -1.954418e-03
## 173 1.107181e-02 8.857058e-03 5.607704e-03 -1.207440e-02 4.142301e-03
## 174 1.701631e-02 1.986704e-02 1.842421e-02 3.413224e-03 1.809585e-02
## 175 1.911696e-02 2.240219e-02 2.062438e-02 4.920083e-03 2.043247e-02
## 176 -8.789158e-03 -2.668765e-03 4.314646e-03 3.500677e-02 5.123925e-03
## 177 -2.096902e-03 9.088202e-04 5.634827e-03 1.131120e-02 6.242499e-03
## 178 6.337738e-03 3.571351e-03 2.627698e-03 -1.393650e-03 3.846531e-03
## 179 1.365846e-02 1.424080e-02 1.299410e-02 2.712689e-03 1.375934e-02
## 180 1.276425e-02 1.451560e-02 1.385951e-02 3.042924e-03 1.390666e-02
## 181 2.284714e-02 2.709255e-02 2.447452e-02 4.744268e-03 2.373657e-02
## 182 1.036419e-02 9.921744e-03 9.097706e-03 1.715641e-03 1.002858e-02
## 183 1.132083e-02 8.357199e-03 5.463235e-03 -6.377245e-03 5.858535e-03
## 184 -2.888532e-03 3.230155e-03 6.989230e-03 5.105409e-02 8.374721e-03
## 185 1.364813e-03 2.577639e-03 5.159809e-03 1.020090e-02 6.188788e-03
## 186 -1.035848e-02 -7.743512e-03 -9.563446e-04 1.039988e-02 -6.970136e-04
## 187 1.305049e-02 1.199587e-02 9.943856e-03 -1.382094e-03 1.066165e-02
## 188 5.677723e-04 2.343396e-03 5.352154e-03 5.087110e-03 5.406410e-03
## 189 1.364423e-02 1.943281e-02 2.096651e-02 9.166342e-03 2.064303e-02
## 190 1.321126e-02 1.024528e-02 6.114453e-03 -1.102395e-02 5.263005e-03
## 191 -2.990985e-03 -6.463162e-03 -5.756553e-03 -2.110224e-02 -7.724849e-03
## 192 1.876344e-02 2.152134e-02 1.913349e-02 -1.577109e-03 1.785920e-02
## 193 1.252097e-02 7.578515e-03 3.032662e-03 -1.263643e-02 3.141098e-03
## 194 -9.466564e-03 -8.394604e-03 -2.031127e-03 -4.277370e-03 -2.317405e-03
## 195 -3.194970e-03 -1.912919e-03 2.284372e-03 -3.253962e-03 1.749381e-03
## 196 2.101662e-02 2.193810e-02 1.782144e-02 -3.763698e-03 1.690727e-02
## 197 2.193810e-02 2.533300e-02 2.239450e-02 1.594227e-03 2.140903e-02
## 198 1.782144e-02 2.239450e-02 2.165793e-02 5.598310e-03 2.102198e-02
## 199 -3.763698e-03 1.594227e-03 5.598310e-03 4.542387e-02 6.952453e-03
## 200 1.690727e-02 2.140903e-02 2.102198e-02 6.952453e-03 2.068263e-02n<-nrow (matriz_X)
matriz_M<-diag(n)-matriz_PLiteral 2
library(magrittr)## Warning: package 'magrittr' was built under R version 4.1.3residuos_modelo_ventas<-modelo_ventas$residuals
datos_modelo<-modelo_ventas$model
residuos_matrices<-matriz_M%*%datos_modelo$ventas
cbind (residuos_matrices,residuos_modelo_ventas,residuos_modelo_ventas-residuos_matrices) %>% round(digits = 2) %>% as.data.frame()->comparacion
names(comparacion)<-c("por_matrices","En_modelo","Diferencia")
comparacion## por_matrices En_modelo Diferencia
## 1 -15.93 -15.93 0
## 2 19.33 19.33 0
## 3 38.02 38.02 0
## 4 -15.43 -15.43 0
## 5 5.16 5.16 0
## 6 80.22 80.22 0
## 7 -16.35 -16.35 0
## 8 -22.89 -22.89 0
## 9 -34.40 -34.40 0
## 10 46.09 46.09 0
## 11 -40.56 -40.56 0
## 12 9.25 9.25 0
## 13 5.82 5.82 0
## 14 -19.64 -19.64 0
## 15 -2.74 -2.74 0
## 16 -20.58 -20.58 0
## 17 -4.89 -4.89 0
## 18 -0.83 -0.83 0
## 19 -36.61 -36.61 0
## 20 -8.11 -8.11 0
## 21 11.00 11.00 0
## 22 56.50 56.50 0
## 23 -7.55 -7.55 0
## 24 31.71 31.71 0
## 25 -40.48 -40.48 0
## 26 86.80 86.80 0
## 27 -1.44 -1.44 0
## 28 35.92 35.92 0
## 29 24.51 24.51 0
## 30 -38.94 -38.94 0
## 31 25.44 25.44 0
## 32 -17.24 -17.24 0
## 33 -44.11 -44.11 0
## 34 47.62 47.62 0
## 35 -38.06 -38.06 0
## 36 104.56 104.56 0
## 37 -22.01 -22.01 0
## 38 6.26 6.26 0
## 39 -20.85 -20.85 0
## 40 -8.14 -8.14 0
## 41 3.52 3.52 0
## 42 7.13 7.13 0
## 43 39.33 39.33 0
## 44 29.22 29.22 0
## 45 -13.40 -13.40 0
## 46 8.21 8.21 0
## 47 -42.24 -42.24 0
## 48 -15.16 -15.16 0
## 49 36.15 36.15 0
## 50 -42.33 -42.33 0
## 51 29.60 29.60 0
## 52 -27.94 -27.94 0
## 53 -25.78 -25.78 0
## 54 -16.15 -16.15 0
## 55 20.52 20.52 0
## 56 -34.10 -34.10 0
## 57 32.84 32.84 0
## 58 -8.84 -8.84 0
## 59 -25.90 -25.90 0
## 60 4.38 4.38 0
## 61 -56.13 -56.13 0
## 62 -5.97 -5.97 0
## 63 34.06 34.06 0
## 64 -22.00 -22.00 0
## 65 -22.92 -22.92 0
## 66 -33.91 -33.91 0
## 67 -25.98 -25.98 0
## 68 -24.10 -24.10 0
## 69 15.18 15.18 0
## 70 -12.96 -12.96 0
## 71 -2.78 -2.78 0
## 72 -39.34 -39.34 0
## 73 9.10 9.10 0
## 74 -23.58 -23.58 0
## 75 16.53 16.53 0
## 76 41.92 41.92 0
## 77 -61.13 -61.13 0
## 78 -11.80 -11.80 0
## 79 42.30 42.30 0
## 80 -28.28 -28.28 0
## 81 -18.10 -18.10 0
## 82 55.90 55.90 0
## 83 -32.84 -32.84 0
## 84 1.99 1.99 0
## 85 -7.85 -7.85 0
## 86 2.06 2.06 0
## 87 -18.80 -18.80 0
## 88 -12.42 -12.42 0
## 89 -34.44 -34.44 0
## 90 -0.71 -0.71 0
## 91 -19.86 -19.86 0
## 92 -71.04 -71.04 0
## 93 5.47 5.47 0
## 94 -1.83 -1.83 0
## 95 -22.68 -22.68 0
## 96 -9.60 -9.60 0
## 97 30.46 30.46 0
## 98 2.80 2.80 0
## 99 -1.39 -1.39 0
## 100 -6.92 -6.92 0
## 101 47.13 47.13 0
## 102 13.67 13.67 0
## 103 74.24 74.24 0
## 104 8.29 8.29 0
## 105 5.20 5.20 0
## 106 -23.16 -23.16 0
## 107 -39.16 -39.16 0
## 108 -36.55 -36.55 0
## 109 -51.39 -51.39 0
## 110 14.93 14.93 0
## 111 31.77 31.77 0
## 112 0.85 0.85 0
## 113 3.55 3.55 0
## 114 20.05 20.05 0
## 115 1.25 1.25 0
## 116 -6.04 -6.04 0
## 117 -5.24 -5.24 0
## 118 -59.49 -59.49 0
## 119 -9.08 -9.08 0
## 120 -15.33 -15.33 0
## 121 -22.74 -22.74 0
## 122 -6.98 -6.98 0
## 123 52.60 52.60 0
## 124 -7.38 -7.38 0
## 125 6.99 6.99 0
## 126 -36.29 -36.29 0
## 127 51.55 51.55 0
## 128 -45.71 -45.71 0
## 129 -38.99 -38.99 0
## 130 -49.74 -49.74 0
## 131 137.77 137.77 0
## 132 68.15 68.15 0
## 133 29.49 29.49 0
## 134 4.04 4.04 0
## 135 2.44 2.44 0
## 136 24.96 24.96 0
## 137 14.83 14.83 0
## 138 18.65 18.65 0
## 139 -13.45 -13.45 0
## 140 -17.13 -17.13 0
## 141 -36.00 -36.00 0
## 142 -7.79 -7.79 0
## 143 -5.46 -5.46 0
## 144 -38.02 -38.02 0
## 145 -33.90 -33.90 0
## 146 -7.02 -7.02 0
## 147 57.02 57.02 0
## 148 -24.42 -24.42 0
## 149 5.76 5.76 0
## 150 -21.33 -21.33 0
## 151 60.96 60.96 0
## 152 -37.40 -37.40 0
## 153 3.70 3.70 0
## 154 -11.53 -11.53 0
## 155 5.57 5.57 0
## 156 20.34 20.34 0
## 157 -6.39 -6.39 0
## 158 0.10 0.10 0
## 159 35.21 35.21 0
## 160 -12.86 -12.86 0
## 161 -0.28 -0.28 0
## 162 -5.49 -5.49 0
## 163 7.07 7.07 0
## 164 -11.48 -11.48 0
## 165 -17.07 -17.07 0
## 166 43.48 43.48 0
## 167 30.49 30.49 0
## 168 32.76 32.76 0
## 169 9.33 9.33 0
## 170 79.25 79.25 0
## 171 -32.15 -32.15 0
## 172 -2.32 -2.32 0
## 173 -19.07 -19.07 0
## 174 11.45 11.45 0
## 175 56.81 56.81 0
## 176 -20.90 -20.90 0
## 177 10.72 10.72 0
## 178 10.72 10.72 0
## 179 99.16 99.16 0
## 180 0.68 0.68 0
## 181 8.07 8.07 0
## 182 43.24 43.24 0
## 183 -53.93 -53.93 0
## 184 -14.41 -14.41 0
## 185 33.06 33.06 0
## 186 -26.80 -26.80 0
## 187 -11.78 -11.78 0
## 188 2.02 2.02 0
## 189 75.55 75.55 0
## 190 -31.29 -31.29 0
## 191 11.46 11.46 0
## 192 -34.64 -34.64 0
## 193 -47.21 -47.21 0
## 194 -20.94 -20.94 0
## 195 -16.29 -16.29 0
## 196 -54.55 -54.55 0
## 197 -31.98 -31.98 0
## 198 8.34 8.34 0
## 199 -9.58 -9.58 0
## 200 49.59 49.59 0Literal 3
eigen(x = matriz_XX, symmetric = TRUE)->descomposicion
auto_valores<-descomposicion$values
print(auto_valores)## [1] 3.114217e+08 7.025253e+04 4.097346e+04 3.714363e+03 1.277350e+01print(auto_valores>0)## [1] TRUE TRUE TRUE TRUE TRUEEJERCICIO 2 Literal 1
load("C:/Users/Administrador/Downloads/datos_cajas.RData")
Modelo_cajas<-lm (formula = Tiempo ~ Distancia+N_cajas,data = datos_cajas)
summary(Modelo_cajas)##
## Call:
## lm(formula = Tiempo ~ Distancia + N_cajas, data = datos_cajas)
##
## Residuals:
## Min 1Q Median 3Q Max
## -9.2716 -0.5405 0.5212 1.4051 2.9381
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.3112 5.8573 0.395 0.70007
## Distancia 0.4559 0.1468 3.107 0.00908 **
## N_cajas 0.8772 0.1530 5.732 9.43e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 3.141 on 12 degrees of freedom
## Multiple R-squared: 0.7368, Adjusted R-squared: 0.6929
## F-statistic: 16.8 on 2 and 12 DF, p-value: 0.0003325Literal 2
matriz_X<-model.matrix(Modelo_cajas)
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) 0.459747079 0.505626389 -0.317731768 0.707001469 0.053149816
## Distancia -0.003015297 -0.009318829 0.018819615 -0.019989342 -0.006641453
## N_cajas -0.017147338 -0.009890695 -0.007919488 -0.004479623 0.011082085
## 6 7 8 9 10
## (Intercept) -0.166576988 0.633594572 -0.125532551 0.1260628274 -0.90735239
## Distancia 0.006550474 -0.009903692 0.009409808 0.0003379213 0.02334256
## N_cajas 0.002768355 -0.016090251 -0.003959744 -0.0038254420 0.01780152
## 11 12 13 14 15
## (Intercept) 0.277217608 0.368482344 0.487274665 -0.3674581822 -0.73350489
## Distancia -0.011931220 -0.007473259 -0.006797416 0.0001559637 0.01645417
## N_cajas 0.006862401 -0.005142468 -0.012793352 0.0238754370 0.01885861#matriz P
matriz_P<-matriz_X%*%matriz_A #alternativamente matriz_P<-matriz_X%*%solven(matriz_XX)%*%t(matriz_X)
print(matriz_P)## 1 2 3 4 5 6
## 1 0.19781478 0.127154573 0.16766180 0.062524965 -0.03527291 0.057620774
## 2 0.12715457 0.124295239 0.03396629 0.140073563 0.05334477 0.038710181
## 3 0.16766180 0.033966286 0.35585795 -0.137368460 -0.10168744 0.123125512
## 4 0.06252497 0.140073563 -0.13736846 0.257600846 0.15524536 0.006698639
## 5 -0.03527291 0.053344771 -0.10168744 0.155245361 0.18408997 0.046742309
## 6 0.05762077 0.038710181 0.12312551 0.006698639 0.04674231 0.086318088
## 7 0.17558129 0.144648497 0.07654437 0.133523089 0.01345706 0.036955589
## 8 0.11716423 0.050316476 0.21126231 -0.035350897 -0.01751039 0.094896089
## 9 0.09794605 0.077129229 0.10132526 0.055636570 0.03786105 0.067680430
## 10 -0.02906036 -0.056765574 0.20436525 -0.131155907 0.05122193 0.136694350
## 11 -0.01209498 0.081873124 -0.13140718 0.199703669 0.18629079 0.030873007
## 12 0.09285990 0.104513848 0.01812731 0.131114317 0.07550894 0.044246890
## 13 0.15541865 0.125438973 0.08744449 0.109054124 0.01789770 0.046274418
## 14 -0.12402490 -0.005427535 -0.12246527 0.112857904 0.23285894 0.067134558
## 15 -0.05129385 -0.039271650 0.11324781 -0.060157783 0.09995191 0.116029165
## 7 8 9 10 11 12
## 1 0.17558129 0.11716423 0.09794605 -0.02906036 -0.01209498 0.092859897
## 2 0.14464850 0.05031648 0.07712923 -0.05676557 0.08187312 0.104513848
## 3 0.07654437 0.21126231 0.10132526 0.20436525 -0.13140718 0.018127310
## 4 0.13352309 -0.03535090 0.05563657 -0.13115591 0.19970367 0.131114317
## 5 0.01345706 -0.01751039 0.03786105 0.05122193 0.18629079 0.075508940
## 6 0.03695559 0.09489609 0.06768043 0.13669435 0.03087301 0.044246890
## 7 0.18301556 0.07160552 0.08894348 -0.08682757 0.04935470 0.112467995
## 8 0.07160552 0.13896449 0.08399596 0.13551596 -0.03237026 0.042396988
## 9 0.08894348 0.08399596 0.07465547 0.05440619 0.04101064 0.069478345
## 10 -0.08682757 0.13551596 0.05440619 0.34795579 -0.01326471 -0.021162536
## 11 0.04935470 -0.03237026 0.04101064 -0.01326471 0.20329083 0.095597926
## 12 0.11246799 0.04239699 0.06947834 -0.02116254 0.09559793 0.094228911
## 13 0.15702161 0.07705558 0.08545596 -0.04568349 0.04428588 0.099852268
## 14 -0.07689788 -0.02789930 0.01907176 0.16357209 0.20867158 0.042323339
## 15 -0.07939330 0.08995724 0.04540362 0.29018859 0.04818497 -0.001554438
## 13 14 15
## 1 0.15541865 -0.124024902 -0.051293849
## 2 0.12543897 -0.005427535 -0.039271650
## 3 0.08744449 -0.122465266 0.113247813
## 4 0.10905412 0.112857904 -0.060157783
## 5 0.01789770 0.232858944 0.099951911
## 6 0.04627442 0.067134558 0.116029165
## 7 0.15702161 -0.076897883 -0.079393301
## 8 0.07705558 -0.027899299 0.089957240
## 9 0.08545596 0.019071756 0.045403621
## 10 -0.04568349 0.163572088 0.290188586
## 11 0.04428588 0.208671580 0.048184973
## 12 0.09985227 0.042323339 -0.001554438
## 13 0.13743085 -0.052866482 -0.044080529
## 14 -0.05286648 0.352392093 0.210699107
## 15 -0.04408053 0.210699107 0.262089133#matriz M
n<-nrow(matriz_X)
matriz_M<-diag(n)-matriz_P
print(matriz_M)## 1 2 3 4 5 6
## 1 0.80218522 -0.127154573 -0.16766180 -0.062524965 0.03527291 -0.057620774
## 2 -0.12715457 0.875704761 -0.03396629 -0.140073563 -0.05334477 -0.038710181
## 3 -0.16766180 -0.033966286 0.64414205 0.137368460 0.10168744 -0.123125512
## 4 -0.06252497 -0.140073563 0.13736846 0.742399154 -0.15524536 -0.006698639
## 5 0.03527291 -0.053344771 0.10168744 -0.155245361 0.81591003 -0.046742309
## 6 -0.05762077 -0.038710181 -0.12312551 -0.006698639 -0.04674231 0.913681912
## 7 -0.17558129 -0.144648497 -0.07654437 -0.133523089 -0.01345706 -0.036955589
## 8 -0.11716423 -0.050316476 -0.21126231 0.035350897 0.01751039 -0.094896089
## 9 -0.09794605 -0.077129229 -0.10132526 -0.055636570 -0.03786105 -0.067680430
## 10 0.02906036 0.056765574 -0.20436525 0.131155907 -0.05122193 -0.136694350
## 11 0.01209498 -0.081873124 0.13140718 -0.199703669 -0.18629079 -0.030873007
## 12 -0.09285990 -0.104513848 -0.01812731 -0.131114317 -0.07550894 -0.044246890
## 13 -0.15541865 -0.125438973 -0.08744449 -0.109054124 -0.01789770 -0.046274418
## 14 0.12402490 0.005427535 0.12246527 -0.112857904 -0.23285894 -0.067134558
## 15 0.05129385 0.039271650 -0.11324781 0.060157783 -0.09995191 -0.116029165
## 7 8 9 10 11 12
## 1 -0.17558129 -0.11716423 -0.09794605 0.02906036 0.01209498 -0.092859897
## 2 -0.14464850 -0.05031648 -0.07712923 0.05676557 -0.08187312 -0.104513848
## 3 -0.07654437 -0.21126231 -0.10132526 -0.20436525 0.13140718 -0.018127310
## 4 -0.13352309 0.03535090 -0.05563657 0.13115591 -0.19970367 -0.131114317
## 5 -0.01345706 0.01751039 -0.03786105 -0.05122193 -0.18629079 -0.075508940
## 6 -0.03695559 -0.09489609 -0.06768043 -0.13669435 -0.03087301 -0.044246890
## 7 0.81698444 -0.07160552 -0.08894348 0.08682757 -0.04935470 -0.112467995
## 8 -0.07160552 0.86103551 -0.08399596 -0.13551596 0.03237026 -0.042396988
## 9 -0.08894348 -0.08399596 0.92534453 -0.05440619 -0.04101064 -0.069478345
## 10 0.08682757 -0.13551596 -0.05440619 0.65204421 0.01326471 0.021162536
## 11 -0.04935470 0.03237026 -0.04101064 0.01326471 0.79670917 -0.095597926
## 12 -0.11246799 -0.04239699 -0.06947834 0.02116254 -0.09559793 0.905771089
## 13 -0.15702161 -0.07705558 -0.08545596 0.04568349 -0.04428588 -0.099852268
## 14 0.07689788 0.02789930 -0.01907176 -0.16357209 -0.20867158 -0.042323339
## 15 0.07939330 -0.08995724 -0.04540362 -0.29018859 -0.04818497 0.001554438
## 13 14 15
## 1 -0.15541865 0.124024902 0.051293849
## 2 -0.12543897 0.005427535 0.039271650
## 3 -0.08744449 0.122465266 -0.113247813
## 4 -0.10905412 -0.112857904 0.060157783
## 5 -0.01789770 -0.232858944 -0.099951911
## 6 -0.04627442 -0.067134558 -0.116029165
## 7 -0.15702161 0.076897883 0.079393301
## 8 -0.07705558 0.027899299 -0.089957240
## 9 -0.08545596 -0.019071756 -0.045403621
## 10 0.04568349 -0.163572088 -0.290188586
## 11 -0.04428588 -0.208671580 -0.048184973
## 12 -0.09985227 -0.042323339 0.001554438
## 13 0.86256915 0.052866482 0.044080529
## 14 0.05286648 0.647607907 -0.210699107
## 15 0.04408053 -0.210699107 0.737910867Literal 3
library (magrittr)
residuos_modelo<-Modelo_cajas$residuals
matriz_Y<-datos_cajas$Tiempo
residuos_por_matrices<-matriz_M%*%matriz_Y
comparativa<-cbind(residuos_modelo,
residuos_por_matrices,
residuos_modelo-residuos_por_matrices)%>% as.data.frame()# %>% round(digits = 2)
names (comparativa)<-c("residuos_modelos","residuos_matrices","diferencia")
print(comparativa)## residuos_modelos residuos_matrices diferencia
## 1 -0.7608713 -0.7608713 -2.959855e-13
## 2 0.1327095 0.1327095 -3.170797e-13
## 3 -0.3200790 -0.3200790 -2.652323e-13
## 4 2.9381318 2.9381318 -3.237410e-13
## 5 -9.2715743 -9.2715743 -2.877698e-13
## 6 0.7655710 0.7655710 -2.698952e-13
## 7 1.3084025 1.3084025 -3.268497e-13
## 8 -2.0933728 -2.0933728 -2.775558e-13
## 9 1.4318218 1.4318218 -2.895462e-13
## 10 0.5212280 0.5212280 -2.299272e-13
## 11 0.5174718 0.5174718 -2.975398e-13
## 12 1.3783003 1.3783003 -3.024248e-13
## 13 -1.0247228 -1.0247228 -3.108624e-13
## 14 2.8864818 2.8864818 -2.602363e-13
## 15 1.5905018 1.5905018 -2.442491e-13Literal 4
descomposicion<-eigen(matriz_XX)
autovalores<-descomposicion$values
print(autovalores)## [1] 1.697678e+04 7.099346e+02 2.872743e-01print(autovalores>0)## [1] TRUE TRUE TRUEEJERCICIO 3
load("C:/Users/Administrador/Downloads/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 #alternativamente matriz_P<-matriz_X%*%solven(matriz_XX)%*%t(matriz_X)
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#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
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## 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
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## 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
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## 30 -0.021405920 -0.020714818 -0.046214931 -0.041991588 0.955711469
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## 51 0.006638218 -0.008460658 0.120812865 0.071142077 0.080577853
## 31 32 33 34 35
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## 2 -0.0130230694 -0.0223570267 0.002459239 -0.022718275 -0.0142840658
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## 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
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## 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 0.463978500EJERCICIO 4 Literal A
library(readxl)
Investiment_Equation <- read_excel("C:/Users/Administrador/Downloads/Investiment_Equation.xlsx")
ecuacion_inversion<-lm(formula = InvReal~Trend+Inflation+PNBr+Interest, data = Investiment_Equation)
library(stargazer)
stargazer(ecuacion_inversion,title = "Ecuacion de Inversion",type = "text")##
## Ecuacion de Inversion
## ===============================================
## Dependent variable:
## ---------------------------
## InvReal
## -----------------------------------------------
## Trend -0.016***
## (0.002)
##
## Inflation 0.00002
## (0.001)
##
## PNBr 0.665***
## (0.054)
##
## Interest -0.240*
## (0.120)
##
## Constant -0.503***
## (0.054)
##
## -----------------------------------------------
## Observations 15
## R2 0.973
## Adjusted R2 0.962
## Residual Std. Error 0.007 (df = 10)
## F Statistic 90.089*** (df = 4; 10)
## ===============================================
## Note: *p<0.1; **p<0.05; ***p<0.01Literal B
model.matrix(ecuacion_inversion)->Mat_x
n<-nrow(Mat_x)
M<-diag(n)-Mat_x%*%solve(t(Mat_x)%*%Mat_x)%*%t(Mat_x)
Y<-Investiment_Equation$InvReal
residuos<-M%*%Y
print(residuos)## [,1]
## 1 -0.0100602233
## 2 -0.0009290882
## 3 0.0029656679
## 4 0.0078576839
## 5 0.0028109133
## 6 0.0006259732
## 7 0.0075909286
## 8 -0.0055352778
## 9 -0.0037254127
## 10 0.0006953129
## 11 0.0019904770
## 12 -0.0001288433
## 13 -0.0101976729
## 14 0.0068712384
## 15 -0.0008316770Literal C
confint(ecuacion_inversion, parm = "PNBr", level = .93)## 3.5 % 96.5 %
## PNBr 0.554777 0.774317Interpretación: En un intervalo de confianza del 93% para el impacto del PNBr en la Inversión se tiene que Por cada cambio unitario de PNBr se esperaria que la inversion real se incrementara en un 0.53 millones.
EJERCICIO 5 Literal A: Cálculo Residuos
options(scipen = 999999)
load("C:/Users/Administrador/Downloads/consumption_equation.RData")
n<-nrow(P)
M<-diag(n)-P
residuos<-M%*%C
print(residuos)## [,1]
## 1 -5.859103
## 2 2.605057
## 3 45.765735
## 4 31.102448
## 5 -21.037889
## 6 7.008120
## 7 17.859663
## 8 10.705631
## 9 22.002328
## 10 -2.689665
## 11 7.784083
## 12 -13.127696
## 13 17.521565
## 14 17.304695
## 15 -16.308260
## 16 -5.255508
## 17 2.788211
## 18 -16.379339
## 19 -14.327554
## 20 11.749135
## 21 -31.424669
## 22 -23.329596
## 23 22.171806
## 24 -5.040038
## 25 -36.191398
## 26 -25.211753
## 27 -21.411271
## 28 1.410519
## 29 -24.229564
## 30 20.971808
## 31 43.342653
## 32 36.808458
## 33 17.882297
## 34 -33.100273
## 35 -37.819995
## 36 -49.370820
## 37 23.456143
## 38 -25.510341
## 39 -11.960629
## 40 -9.234201
## 41 21.949616
## 42 3.211123
## 43 -14.511436
## 44 3.197576
## 45 -62.396763
## 46 -66.854500
## 47 8.330745
## 48 91.963380
## 49 61.620735
## 50 48.148861
## 51 -10.717721
## 52 -84.069717
## 53 -56.426627
## 54 125.113605Literal B: Cálculo de la Varianza del Error
#sigma cuadrado
k<-4
var_error =t (residuos)%*%residuos/(n-k)
print(var_error)## [,1]
## [1,] 1428.746Literal C: Cálculo de matriz Var-Cov del modelo
var_error<-as.vector(var_error)
var.cov<-var_error*solve(XX)
print(var.cov)## (Intercept) Yd W I
## (Intercept) 164.522304918 -0.09333539523 0.009670913575 10.5186890800
## Yd -0.093335395 0.00018911268 -0.000032769561 -0.0072901023
## W 0.009670914 -0.00003276956 0.000006165749 0.0004193421
## I 10.518689080 -0.00729010228 0.000419342092 5.3203789879Literal D: Cálculo de las estimaciones de consumo
C_estimada<-P%*%C
cuadro<-as.data.frame(cbind(C,C_estimada, residuos))
names(cuadro)<-c("C","C_estimada","residuos")
print(head(cuadro))## C C_estimada residuos
## 1 976.4 982.2591 -5.859103
## 2 998.1 995.4949 2.605057
## 3 1025.3 979.5343 45.765735
## 4 1090.9 1059.7976 31.102448
## 5 1107.1 1128.1379 -21.037889
## 6 1142.4 1135.3919 7.008120EJERCICIO 6 Literal A: Estimación de la ecuacion ventas
load("C:/Users/Administrador/Downloads/datos_ventas.RData")
ecuacion_ventas<-lm(formula = ventas~tv+radio+periodico, data = datos_ventas)
library(stargazer)
stargazer(ecuacion_ventas,title = "Ecuacion de Ventas",type = "text")##
## Ecuacion de Ventas
## ===============================================
## Dependent variable:
## ---------------------------
## ventas
## -----------------------------------------------
## tv 0.045
## (0.118)
##
## radio -3.450***
## (0.206)
##
## periodico 18.485***
## (0.563)
##
## Constant -33.289***
## (7.172)
##
## -----------------------------------------------
## Observations 200
## R2 0.847
## Adjusted R2 0.844
## Residual Std. Error 33.875 (df = 196)
## F Statistic 360.758*** (df = 3; 196)
## ===============================================
## Note: *p<0.1; **p<0.05; ***p<0.01Literal C:
confint(ecuacion_inversion, parm = "PNBr", level = .968)## 1.6 % 98.4 %
## PNBr 0.5298017 0.7992924Interpretación: En un intervalo de confianza del 96.8% para el impacto del PNBr en la Inversión se tiene que Por cada cambio unitario de PNBr se esperaria que la inversion real se incrementara en un 0.53 millones.