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Type 'q()' to quit R. > x <- array(list(11.73 + ,11.75 + ,11.39 + ,11.54 + ,9.62 + ,9.82 + ,9.94 + ,9.9 + ,9.8 + ,9.86 + ,10.5 + ,10.33 + ,10.16 + ,9.91 + ,9.96 + ,10.03 + ,9.55 + ,9.51 + ,9.8 + ,10.08 + ,10.2 + ,10.23 + ,10.2 + ,10.07 + ,10.01 + ,10.05 + ,9.92 + ,10.03 + ,10.18 + ,10.1 + ,10.16 + ,10.15 + ,10.13 + ,10.09 + ,10.18 + ,10.06 + ,9.65 + ,9.74 + ,9.53 + ,9.5 + ,9 + ,9.15 + ,9.32 + ,9.62 + ,9.59 + ,9.37 + ,9.35 + ,9.32 + ,9.49 + ,9.52 + ,9.59 + ,9.35 + ,9.2 + ,9.57 + ,9.78 + ,9.79 + ,9.57 + ,9.53 + ,9.65 + ,9.36 + ,9.4 + ,9.32 + ,9.31 + ,9.19 + ,9.39 + ,9.28 + ,9.28 + ,9.31 + ,9.28 + ,9.31 + ,9.35 + ,9.19 + ,9.07 + ,8.96 + ,8.69 + ,8.58 + ,8.56 + ,8.47 + ,8.46 + ,8.75 + ,8.95 + ,9.33 + ,9.51 + ,9.561 + ,9.94 + ,9.9 + ,9.275 + ,9.56 + ,9.779 + ,9.746 + ,9.991 + ,9.98 + ,10.195 + ,10.31 + ,10.25 + ,9.871 + ,10.06 + ,9.894 + ,9.59 + ,9.64 + ,9.89 + ,9.53 + ,9.388 + ,9.16 + ,9.418 + ,9.57 + ,9.857 + ,9.877 + ,9.76 + ,9.76 + ,9.695 + ,9.475 + ,9.262 + ,9.097 + ,8.55 + ,8.16 + ,7.532 + ,7.325 + ,6.749 + ,7.13 + ,6.995 + ,7.346 + ,7.73 + ,7.837 + ,7.514 + ,7.58 + ,6.83 + ,6.617 + ,6.715 + ,6.63 + ,6.891 + ,7.002 + ,7.09 + ,7.36 + ,7.477 + ,7.826 + ,7.79 + ,7.578 + ,7.204 + ,7.198 + ,7.685 + ,7.795 + ,7.46 + ,7.274 + ,7.33 + ,7.655 + ,7.767 + ,7.84 + ,7.424 + ,7.54 + ,7.351 + ,6.735 + ,6.777 + ,6.679 + ,7.34 + ,6.978 + ,6.92 + ,6.628 + ,6.385 + ,5.984 + ,6.268 + ,6.596 + ,6.395 + ,6.715 + ,6.804 + ,6.929 + ,6.846 + ,6.992 + ,6.774 + ,6.75 + ,6.485 + ,6.27 + ,6.47 + ,6.78 + ,6.71 + ,6.141 + ,6.72 + ,6.68 + ,6.371 + ,6.097 + ,6.27 + ,6.447 + ,6.37 + ,6.446 + ,6.54 + ,6.374 + ,6.33 + ,6.63 + ,6.498 + ,6.485 + ,6.36) + ,dim=c(1 + ,191) + ,dimnames=list(c('koers-nyrstar') + ,1:191)) > y <- array(NA,dim=c(1,191),dimnames=list(c('koers-nyrstar'),1:191)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Include Monthly Dummies' > par1 = '1' > library(lattice) > library(lmtest) Loading required package: zoo > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,4), dimnames=list(1:n, paste('D', seq(1:4), sep =''))) + for (i in 1:4){ + x2[seq(i,n,5),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x koers-nyrstar D1 D2 D3 D4 t 1 11.730 1 0 0 0 1 2 11.750 0 1 0 0 2 3 11.390 0 0 1 0 3 4 11.540 0 0 0 1 4 5 9.620 0 0 0 0 5 6 9.820 1 0 0 0 6 7 9.940 0 1 0 0 7 8 9.900 0 0 1 0 8 9 9.800 0 0 0 1 9 10 9.860 0 0 0 0 10 11 10.500 1 0 0 0 11 12 10.330 0 1 0 0 12 13 10.160 0 0 1 0 13 14 9.910 0 0 0 1 14 15 9.960 0 0 0 0 15 16 10.030 1 0 0 0 16 17 9.550 0 1 0 0 17 18 9.510 0 0 1 0 18 19 9.800 0 0 0 1 19 20 10.080 0 0 0 0 20 21 10.200 1 0 0 0 21 22 10.230 0 1 0 0 22 23 10.200 0 0 1 0 23 24 10.070 0 0 0 1 24 25 10.010 0 0 0 0 25 26 10.050 1 0 0 0 26 27 9.920 0 1 0 0 27 28 10.030 0 0 1 0 28 29 10.180 0 0 0 1 29 30 10.100 0 0 0 0 30 31 10.160 1 0 0 0 31 32 10.150 0 1 0 0 32 33 10.130 0 0 1 0 33 34 10.090 0 0 0 1 34 35 10.180 0 0 0 0 35 36 10.060 1 0 0 0 36 37 9.650 0 1 0 0 37 38 9.740 0 0 1 0 38 39 9.530 0 0 0 1 39 40 9.500 0 0 0 0 40 41 9.000 1 0 0 0 41 42 9.150 0 1 0 0 42 43 9.320 0 0 1 0 43 44 9.620 0 0 0 1 44 45 9.590 0 0 0 0 45 46 9.370 1 0 0 0 46 47 9.350 0 1 0 0 47 48 9.320 0 0 1 0 48 49 9.490 0 0 0 1 49 50 9.520 0 0 0 0 50 51 9.590 1 0 0 0 51 52 9.350 0 1 0 0 52 53 9.200 0 0 1 0 53 54 9.570 0 0 0 1 54 55 9.780 0 0 0 0 55 56 9.790 1 0 0 0 56 57 9.570 0 1 0 0 57 58 9.530 0 0 1 0 58 59 9.650 0 0 0 1 59 60 9.360 0 0 0 0 60 61 9.400 1 0 0 0 61 62 9.320 0 1 0 0 62 63 9.310 0 0 1 0 63 64 9.190 0 0 0 1 64 65 9.390 0 0 0 0 65 66 9.280 1 0 0 0 66 67 9.280 0 1 0 0 67 68 9.310 0 0 1 0 68 69 9.280 0 0 0 1 69 70 9.310 0 0 0 0 70 71 9.350 1 0 0 0 71 72 9.190 0 1 0 0 72 73 9.070 0 0 1 0 73 74 8.960 0 0 0 1 74 75 8.690 0 0 0 0 75 76 8.580 1 0 0 0 76 77 8.560 0 1 0 0 77 78 8.470 0 0 1 0 78 79 8.460 0 0 0 1 79 80 8.750 0 0 0 0 80 81 8.950 1 0 0 0 81 82 9.330 0 1 0 0 82 83 9.510 0 0 1 0 83 84 9.561 0 0 0 1 84 85 9.940 0 0 0 0 85 86 9.900 1 0 0 0 86 87 9.275 0 1 0 0 87 88 9.560 0 0 1 0 88 89 9.779 0 0 0 1 89 90 9.746 0 0 0 0 90 91 9.991 1 0 0 0 91 92 9.980 0 1 0 0 92 93 10.195 0 0 1 0 93 94 10.310 0 0 0 1 94 95 10.250 0 0 0 0 95 96 9.871 1 0 0 0 96 97 10.060 0 1 0 0 97 98 9.894 0 0 1 0 98 99 9.590 0 0 0 1 99 100 9.640 0 0 0 0 100 101 9.890 1 0 0 0 101 102 9.530 0 1 0 0 102 103 9.388 0 0 1 0 103 104 9.160 0 0 0 1 104 105 9.418 0 0 0 0 105 106 9.570 1 0 0 0 106 107 9.857 0 1 0 0 107 108 9.877 0 0 1 0 108 109 9.760 0 0 0 1 109 110 9.760 0 0 0 0 110 111 9.695 1 0 0 0 111 112 9.475 0 1 0 0 112 113 9.262 0 0 1 0 113 114 9.097 0 0 0 1 114 115 8.550 0 0 0 0 115 116 8.160 1 0 0 0 116 117 7.532 0 1 0 0 117 118 7.325 0 0 1 0 118 119 6.749 0 0 0 1 119 120 7.130 0 0 0 0 120 121 6.995 1 0 0 0 121 122 7.346 0 1 0 0 122 123 7.730 0 0 1 0 123 124 7.837 0 0 0 1 124 125 7.514 0 0 0 0 125 126 7.580 1 0 0 0 126 127 6.830 0 1 0 0 127 128 6.617 0 0 1 0 128 129 6.715 0 0 0 1 129 130 6.630 0 0 0 0 130 131 6.891 1 0 0 0 131 132 7.002 0 1 0 0 132 133 7.090 0 0 1 0 133 134 7.360 0 0 0 1 134 135 7.477 0 0 0 0 135 136 7.826 1 0 0 0 136 137 7.790 0 1 0 0 137 138 7.578 0 0 1 0 138 139 7.204 0 0 0 1 139 140 7.198 0 0 0 0 140 141 7.685 1 0 0 0 141 142 7.795 0 1 0 0 142 143 7.460 0 0 1 0 143 144 7.274 0 0 0 1 144 145 7.330 0 0 0 0 145 146 7.655 1 0 0 0 146 147 7.767 0 1 0 0 147 148 7.840 0 0 1 0 148 149 7.424 0 0 0 1 149 150 7.540 0 0 0 0 150 151 7.351 1 0 0 0 151 152 6.735 0 1 0 0 152 153 6.777 0 0 1 0 153 154 6.679 0 0 0 1 154 155 7.340 0 0 0 0 155 156 6.978 1 0 0 0 156 157 6.920 0 1 0 0 157 158 6.628 0 0 1 0 158 159 6.385 0 0 0 1 159 160 5.984 0 0 0 0 160 161 6.268 1 0 0 0 161 162 6.596 0 1 0 0 162 163 6.395 0 0 1 0 163 164 6.715 0 0 0 1 164 165 6.804 0 0 0 0 165 166 6.929 1 0 0 0 166 167 6.846 0 1 0 0 167 168 6.992 0 0 1 0 168 169 6.774 0 0 0 1 169 170 6.750 0 0 0 0 170 171 6.485 1 0 0 0 171 172 6.270 0 1 0 0 172 173 6.470 0 0 1 0 173 174 6.780 0 0 0 1 174 175 6.710 0 0 0 0 175 176 6.141 1 0 0 0 176 177 6.720 0 1 0 0 177 178 6.680 0 0 1 0 178 179 6.371 0 0 0 1 179 180 6.097 0 0 0 0 180 181 6.270 1 0 0 0 181 182 6.447 0 1 0 0 182 183 6.370 0 0 1 0 183 184 6.446 0 0 0 1 184 185 6.540 0 0 0 0 185 186 6.374 1 0 0 0 186 187 6.330 0 1 0 0 187 188 6.630 0 0 1 0 188 189 6.498 0 0 0 1 189 190 6.485 0 0 0 0 190 191 6.360 1 0 0 0 191 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) D1 D2 D3 D4 t 10.815405 0.058631 0.013945 0.014516 0.004956 -0.023334 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.29462 -0.38727 -0.09324 0.16934 1.68303 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 10.8154045 0.1371726 78.845 <2e-16 *** D1 0.0586313 0.1513302 0.387 0.699 D2 0.0139454 0.1523265 0.092 0.927 D3 0.0145163 0.1523140 0.095 0.924 D4 0.0049555 0.1523065 0.033 0.974 t -0.0233340 0.0008714 -26.778 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.6639 on 185 degrees of freedom Multiple R-squared: 0.795, Adjusted R-squared: 0.7895 F-statistic: 143.5 on 5 and 185 DF, p-value: < 2.2e-16 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 9.800496e-03 1.960099e-02 9.901995e-01 [2,] 5.626127e-01 8.747746e-01 4.373873e-01 [3,] 7.518702e-01 4.962596e-01 2.481298e-01 [4,] 7.162723e-01 5.674553e-01 2.837277e-01 [5,] 6.591248e-01 6.817505e-01 3.408752e-01 [6,] 5.658551e-01 8.682899e-01 4.341449e-01 [7,] 6.294974e-01 7.410052e-01 3.705026e-01 [8,] 5.554981e-01 8.890037e-01 4.445019e-01 [9,] 4.781040e-01 9.562079e-01 5.218960e-01 [10,] 4.022980e-01 8.045960e-01 5.977020e-01 [11,] 3.426017e-01 6.852034e-01 6.573983e-01 [12,] 4.405882e-01 8.811765e-01 5.594118e-01 [13,] 4.149675e-01 8.299349e-01 5.850325e-01 [14,] 3.986777e-01 7.973553e-01 6.013223e-01 [15,] 3.876145e-01 7.752291e-01 6.123855e-01 [16,] 3.462354e-01 6.924708e-01 6.537646e-01 [17,] 3.438633e-01 6.877266e-01 6.561367e-01 [18,] 2.898860e-01 5.797720e-01 7.101140e-01 [19,] 2.393840e-01 4.787680e-01 7.606160e-01 [20,] 2.046001e-01 4.092002e-01 7.953999e-01 [21,] 1.811058e-01 3.622116e-01 8.188942e-01 [22,] 1.776700e-01 3.553399e-01 8.223300e-01 [23,] 1.449712e-01 2.899425e-01 8.550288e-01 [24,] 1.192136e-01 2.384272e-01 8.807864e-01 [25,] 9.859389e-02 1.971878e-01 9.014061e-01 [26,] 7.818476e-02 1.563695e-01 9.218152e-01 [27,] 7.389310e-02 1.477862e-01 9.261069e-01 [28,] 5.545849e-02 1.109170e-01 9.445415e-01 [29,] 4.307139e-02 8.614278e-02 9.569286e-01 [30,] 3.179524e-02 6.359047e-02 9.682048e-01 [31,] 2.475399e-02 4.950798e-02 9.752460e-01 [32,] 1.845513e-02 3.691025e-02 9.815449e-01 [33,] 2.545207e-02 5.090414e-02 9.745479e-01 [34,] 2.428198e-02 4.856395e-02 9.757180e-01 [35,] 1.964696e-02 3.929392e-02 9.803530e-01 [36,] 1.454232e-02 2.908464e-02 9.854577e-01 [37,] 1.132145e-02 2.264289e-02 9.886786e-01 [38,] 8.814769e-03 1.762954e-02 9.911852e-01 [39,] 6.677538e-03 1.335508e-02 9.933225e-01 [40,] 5.065953e-03 1.013191e-02 9.949340e-01 [41,] 3.663185e-03 7.326370e-03 9.963368e-01 [42,] 2.850589e-03 5.701178e-03 9.971494e-01 [43,] 2.083871e-03 4.167742e-03 9.979161e-01 [44,] 1.520119e-03 3.040237e-03 9.984799e-01 [45,] 1.163742e-03 2.327483e-03 9.988363e-01 [46,] 8.498973e-04 1.699795e-03 9.991501e-01 [47,] 8.507987e-04 1.701597e-03 9.991492e-01 [48,] 6.994643e-04 1.398929e-03 9.993005e-01 [49,] 5.226634e-04 1.045327e-03 9.994773e-01 [50,] 3.883859e-04 7.767718e-04 9.996116e-01 [51,] 2.865753e-04 5.731507e-04 9.997134e-01 [52,] 2.030611e-04 4.061222e-04 9.997969e-01 [53,] 1.383558e-04 2.767117e-04 9.998616e-01 [54,] 9.521513e-05 1.904303e-04 9.999048e-01 [55,] 6.592381e-05 1.318476e-04 9.999341e-01 [56,] 4.594086e-05 9.188172e-05 9.999541e-01 [57,] 3.292279e-05 6.584558e-05 9.999671e-01 [58,] 2.229738e-05 4.459476e-05 9.999777e-01 [59,] 1.509573e-05 3.019147e-05 9.999849e-01 [60,] 1.036583e-05 2.073166e-05 9.999896e-01 [61,] 6.732066e-06 1.346413e-05 9.999933e-01 [62,] 4.672061e-06 9.344123e-06 9.999953e-01 [63,] 3.051569e-06 6.103137e-06 9.999969e-01 [64,] 2.020864e-06 4.041728e-06 9.999980e-01 [65,] 1.398631e-06 2.797262e-06 9.999986e-01 [66,] 1.035952e-06 2.071903e-06 9.999990e-01 [67,] 1.098788e-06 2.197575e-06 9.999989e-01 [68,] 1.796172e-06 3.592343e-06 9.999982e-01 [69,] 2.517542e-06 5.035084e-06 9.999975e-01 [70,] 4.269055e-06 8.538110e-06 9.999957e-01 [71,] 7.460631e-06 1.492126e-05 9.999925e-01 [72,] 7.535208e-06 1.507042e-05 9.999925e-01 [73,] 6.678229e-06 1.335646e-05 9.999933e-01 [74,] 6.887741e-06 1.377548e-05 9.999931e-01 [75,] 9.632247e-06 1.926449e-05 9.999904e-01 [76,] 1.249250e-05 2.498499e-05 9.999875e-01 [77,] 4.494894e-05 8.989789e-05 9.999551e-01 [78,] 8.747170e-05 1.749434e-04 9.999125e-01 [79,] 7.171499e-05 1.434300e-04 9.999283e-01 [80,] 7.869475e-05 1.573895e-04 9.999213e-01 [81,] 1.116983e-04 2.233966e-04 9.998883e-01 [82,] 1.531674e-04 3.063347e-04 9.998468e-01 [83,] 2.648013e-04 5.296027e-04 9.997352e-01 [84,] 4.914313e-04 9.828627e-04 9.995086e-01 [85,] 1.337155e-03 2.674311e-03 9.986628e-01 [86,] 3.918137e-03 7.836274e-03 9.960819e-01 [87,] 9.279036e-03 1.855807e-02 9.907210e-01 [88,] 1.027514e-02 2.055028e-02 9.897249e-01 [89,] 1.610427e-02 3.220855e-02 9.838957e-01 [90,] 2.017854e-02 4.035708e-02 9.798215e-01 [91,] 1.934441e-02 3.868882e-02 9.806556e-01 [92,] 1.992616e-02 3.985232e-02 9.800738e-01 [93,] 2.580078e-02 5.160155e-02 9.741992e-01 [94,] 2.563640e-02 5.127280e-02 9.743636e-01 [95,] 2.380054e-02 4.760108e-02 9.761995e-01 [96,] 2.081496e-02 4.162992e-02 9.791850e-01 [97,] 2.162897e-02 4.325793e-02 9.783710e-01 [98,] 2.612748e-02 5.225495e-02 9.738725e-01 [99,] 5.132873e-02 1.026575e-01 9.486713e-01 [100,] 1.079806e-01 2.159613e-01 8.920194e-01 [101,] 2.087715e-01 4.175429e-01 7.912285e-01 [102,] 3.930393e-01 7.860786e-01 6.069607e-01 [103,] 6.294053e-01 7.411894e-01 3.705947e-01 [104,] 8.234204e-01 3.531592e-01 1.765796e-01 [105,] 9.328345e-01 1.343310e-01 6.716551e-02 [106,] 9.844558e-01 3.108845e-02 1.554422e-02 [107,] 9.933276e-01 1.334478e-02 6.672390e-03 [108,] 9.964125e-01 7.174913e-03 3.587457e-03 [109,] 9.982987e-01 3.402535e-03 1.701268e-03 [110,] 9.993351e-01 1.329802e-03 6.649008e-04 [111,] 9.999462e-01 1.075085e-04 5.375425e-05 [112,] 9.999809e-01 3.819963e-05 1.909981e-05 [113,] 9.999958e-01 8.395423e-06 4.197711e-06 [114,] 9.999969e-01 6.245461e-06 3.122730e-06 [115,] 9.999965e-01 7.006721e-06 3.503361e-06 [116,] 9.999965e-01 6.993086e-06 3.496543e-06 [117,] 9.999960e-01 8.039677e-06 4.019838e-06 [118,] 9.999953e-01 9.456106e-06 4.728053e-06 [119,] 9.999986e-01 2.896068e-06 1.448034e-06 [120,] 9.999998e-01 3.447258e-07 1.723629e-07 [121,] 1.000000e+00 7.379435e-08 3.689718e-08 [122,] 1.000000e+00 7.202808e-09 3.601404e-09 [123,] 1.000000e+00 2.027066e-09 1.013533e-09 [124,] 1.000000e+00 8.735343e-10 4.367672e-10 [125,] 1.000000e+00 5.770498e-10 2.885249e-10 [126,] 1.000000e+00 1.059359e-09 5.296794e-10 [127,] 1.000000e+00 2.222352e-09 1.111176e-09 [128,] 1.000000e+00 3.639141e-09 1.819570e-09 [129,] 1.000000e+00 6.360750e-09 3.180375e-09 [130,] 1.000000e+00 1.351836e-08 6.759181e-09 [131,] 1.000000e+00 2.387222e-08 1.193611e-08 [132,] 1.000000e+00 4.069757e-08 2.034878e-08 [133,] 1.000000e+00 6.265090e-08 3.132545e-08 [134,] 1.000000e+00 6.914610e-08 3.457305e-08 [135,] 9.999999e-01 1.407476e-07 7.037378e-08 [136,] 9.999999e-01 2.913137e-07 1.456568e-07 [137,] 9.999997e-01 5.999256e-07 2.999628e-07 [138,] 9.999997e-01 5.301628e-07 2.650814e-07 [139,] 9.999999e-01 2.299282e-07 1.149641e-07 [140,] 1.000000e+00 4.264867e-08 2.132433e-08 [141,] 1.000000e+00 3.714766e-08 1.857383e-08 [142,] 1.000000e+00 1.413418e-08 7.067091e-09 [143,] 1.000000e+00 5.040192e-09 2.520096e-09 [144,] 1.000000e+00 1.175602e-08 5.878010e-09 [145,] 1.000000e+00 2.833869e-08 1.416934e-08 [146,] 1.000000e+00 6.397645e-08 3.198822e-08 [147,] 1.000000e+00 1.553256e-08 7.766281e-09 [148,] 1.000000e+00 1.316402e-08 6.582008e-09 [149,] 1.000000e+00 2.137553e-08 1.068777e-08 [150,] 1.000000e+00 5.665520e-08 2.832760e-08 [151,] 1.000000e+00 8.350128e-08 4.175064e-08 [152,] 1.000000e+00 5.307239e-09 2.653619e-09 [153,] 1.000000e+00 5.262940e-09 2.631470e-09 [154,] 1.000000e+00 1.538733e-08 7.693666e-09 [155,] 1.000000e+00 8.089234e-09 4.044617e-09 [156,] 1.000000e+00 2.594399e-08 1.297199e-08 [157,] 1.000000e+00 9.060000e-08 4.530000e-08 [158,] 1.000000e+00 8.550170e-08 4.275085e-08 [159,] 9.999999e-01 1.711624e-07 8.558118e-08 [160,] 9.999999e-01 2.079097e-07 1.039549e-07 [161,] 9.999997e-01 6.035126e-07 3.017563e-07 [162,] 9.999993e-01 1.311456e-06 6.557280e-07 [163,] 9.999982e-01 3.588942e-06 1.794471e-06 [164,] 9.999964e-01 7.245130e-06 3.622565e-06 [165,] 9.999886e-01 2.272455e-05 1.136227e-05 [166,] 9.999826e-01 3.472997e-05 1.736498e-05 [167,] 9.999843e-01 3.134910e-05 1.567455e-05 [168,] 9.999484e-01 1.031590e-04 5.157949e-05 [169,] 9.999647e-01 7.061120e-05 3.530560e-05 [170,] 9.999597e-01 8.055237e-05 4.027618e-05 [171,] 9.997779e-01 4.442733e-04 2.221367e-04 [172,] 9.998609e-01 2.782576e-04 1.391288e-04 [173,] 9.989987e-01 2.002646e-03 1.001323e-03 [174,] 9.958044e-01 8.391262e-03 4.195631e-03 > postscript(file="/var/www/rcomp/tmp/136tb1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2et9w1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3nb8q1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4jyna1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5jcpm1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 191 Frequency = 1 1 2 3 4 5 0.8792981451 0.9673179645 0.6300811224 0.8129758592 -1.0787346671 6 7 8 9 10 -0.9140319867 -0.7260121673 -0.7432490094 -0.8103542725 -0.7220647989 11 12 13 14 15 -0.1173621185 -0.2193422991 -0.3665791412 -0.5836844043 -0.5053949307 16 17 18 19 20 -0.4706922503 -0.8826724309 -0.8999092730 -0.5770145361 -0.2687250625 21 22 23 24 25 -0.1840223821 -0.0860025627 -0.0932394048 -0.1903446679 -0.2220551942 26 27 28 29 30 -0.2173525139 -0.2793326945 -0.1465695366 0.0363252003 -0.0153853260 31 32 33 34 35 0.0093173544 0.0673371737 0.0701003316 0.0629950685 0.1812845422 36 37 38 39 40 0.0259872226 -0.3159929580 -0.2032298002 -0.3803350633 -0.3820455896 41 42 43 44 45 -0.9173429092 -0.6993230898 -0.5065599319 -0.1736651951 -0.1753757214 46 47 48 49 50 -0.4306730410 -0.3826532216 -0.3898900637 -0.1869953269 -0.1287058532 51 52 53 54 55 -0.0940031728 -0.2659833534 -0.3932201955 0.0096745413 0.2479640150 56 57 58 59 60 0.2226666954 0.0706865148 0.0534496727 0.2063444095 -0.0553661168 61 62 63 64 65 -0.0506634364 -0.0626436170 -0.0498804591 -0.1369857223 0.0913037514 66 67 68 69 70 -0.0539935682 0.0140262512 0.0667894091 0.0696841459 0.1279736196 71 72 73 74 75 0.1326763000 0.0406961194 -0.0565407227 -0.1336459859 -0.3753565122 76 77 78 79 80 -0.5206538318 -0.4726340124 -0.5398708545 -0.5169761177 -0.1986866440 81 82 83 84 85 -0.0339839636 0.4140358558 0.6167990137 0.7006937505 1.1079832242 86 87 88 89 90 1.0326859046 0.4757057240 0.7834688819 1.0353636187 1.0306530924 91 92 93 94 95 1.2403557728 1.2973755922 1.5351387501 1.6830334869 1.6513229606 96 97 98 99 100 1.2370256410 1.4940454604 1.3508086183 1.0797033552 1.1579928288 101 102 103 104 105 1.3726955092 1.0807153286 0.9614784865 0.7663732234 1.0526626970 106 107 108 109 110 1.1693653774 1.5243851968 1.5671483547 1.4830430916 1.5113325653 111 112 113 114 115 1.4110352456 1.2590550650 1.0688182229 0.9367129598 0.4180024335 116 117 118 119 120 -0.0072948862 -0.5672750668 -0.7515119089 -1.2946171720 -0.8853276983 121 122 123 124 125 -1.0556250179 -0.6366051986 -0.2298420407 -0.0899473038 -0.3846578301 126 127 128 129 130 -0.3539551497 -1.0359353303 -1.2261721725 -1.0952774356 -1.1519879619 131 132 133 134 135 -0.9262852815 -0.7472654621 -0.6365023042 -0.3336075674 -0.1883180937 136 137 138 139 140 0.1253845867 0.1574044061 -0.0318324360 -0.3729376992 -0.3506482255 141 142 143 144 145 0.1010544549 0.2790742743 -0.0331625678 -0.1862678310 -0.1019783573 146 147 148 149 150 0.1877243231 0.3677441425 0.4635073004 0.0804020372 0.2246915109 151 152 153 154 155 0.0003941913 -0.5475859893 -0.4828228314 -0.5479280946 0.1413613791 156 157 158 159 160 -0.2559359405 -0.2459161211 -0.5151529632 -0.7252582264 -1.0979687527 161 162 163 164 165 -0.8492660723 -0.4532462529 -0.6314830950 -0.2785883582 -0.1612988845 166 167 168 169 170 -0.0715962041 -0.0865763847 0.0821867732 -0.1029184900 -0.0986290163 171 172 173 174 175 -0.3989263359 -0.5459065165 -0.3231433586 0.0197513782 -0.0219591481 176 177 178 179 180 -0.6262564677 0.0207633517 0.0035265096 -0.2725787536 -0.5182892799 181 182 183 184 185 -0.3805865995 -0.1355667801 -0.1898036222 -0.0809088853 0.0413805883 186 187 188 189 190 -0.1599167313 -0.1358969119 0.1868662460 0.0877609829 0.1030504565 191 -0.0572468631 > postscript(file="/var/www/rcomp/tmp/6j1v11322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 191 Frequency = 1 lag(myerror, k = 1) myerror 0 0.8792981451 NA 1 0.9673179645 0.8792981451 2 0.6300811224 0.9673179645 3 0.8129758592 0.6300811224 4 -1.0787346671 0.8129758592 5 -0.9140319867 -1.0787346671 6 -0.7260121673 -0.9140319867 7 -0.7432490094 -0.7260121673 8 -0.8103542725 -0.7432490094 9 -0.7220647989 -0.8103542725 10 -0.1173621185 -0.7220647989 11 -0.2193422991 -0.1173621185 12 -0.3665791412 -0.2193422991 13 -0.5836844043 -0.3665791412 14 -0.5053949307 -0.5836844043 15 -0.4706922503 -0.5053949307 16 -0.8826724309 -0.4706922503 17 -0.8999092730 -0.8826724309 18 -0.5770145361 -0.8999092730 19 -0.2687250625 -0.5770145361 20 -0.1840223821 -0.2687250625 21 -0.0860025627 -0.1840223821 22 -0.0932394048 -0.0860025627 23 -0.1903446679 -0.0932394048 24 -0.2220551942 -0.1903446679 25 -0.2173525139 -0.2220551942 26 -0.2793326945 -0.2173525139 27 -0.1465695366 -0.2793326945 28 0.0363252003 -0.1465695366 29 -0.0153853260 0.0363252003 30 0.0093173544 -0.0153853260 31 0.0673371737 0.0093173544 32 0.0701003316 0.0673371737 33 0.0629950685 0.0701003316 34 0.1812845422 0.0629950685 35 0.0259872226 0.1812845422 36 -0.3159929580 0.0259872226 37 -0.2032298002 -0.3159929580 38 -0.3803350633 -0.2032298002 39 -0.3820455896 -0.3803350633 40 -0.9173429092 -0.3820455896 41 -0.6993230898 -0.9173429092 42 -0.5065599319 -0.6993230898 43 -0.1736651951 -0.5065599319 44 -0.1753757214 -0.1736651951 45 -0.4306730410 -0.1753757214 46 -0.3826532216 -0.4306730410 47 -0.3898900637 -0.3826532216 48 -0.1869953269 -0.3898900637 49 -0.1287058532 -0.1869953269 50 -0.0940031728 -0.1287058532 51 -0.2659833534 -0.0940031728 52 -0.3932201955 -0.2659833534 53 0.0096745413 -0.3932201955 54 0.2479640150 0.0096745413 55 0.2226666954 0.2479640150 56 0.0706865148 0.2226666954 57 0.0534496727 0.0706865148 58 0.2063444095 0.0534496727 59 -0.0553661168 0.2063444095 60 -0.0506634364 -0.0553661168 61 -0.0626436170 -0.0506634364 62 -0.0498804591 -0.0626436170 63 -0.1369857223 -0.0498804591 64 0.0913037514 -0.1369857223 65 -0.0539935682 0.0913037514 66 0.0140262512 -0.0539935682 67 0.0667894091 0.0140262512 68 0.0696841459 0.0667894091 69 0.1279736196 0.0696841459 70 0.1326763000 0.1279736196 71 0.0406961194 0.1326763000 72 -0.0565407227 0.0406961194 73 -0.1336459859 -0.0565407227 74 -0.3753565122 -0.1336459859 75 -0.5206538318 -0.3753565122 76 -0.4726340124 -0.5206538318 77 -0.5398708545 -0.4726340124 78 -0.5169761177 -0.5398708545 79 -0.1986866440 -0.5169761177 80 -0.0339839636 -0.1986866440 81 0.4140358558 -0.0339839636 82 0.6167990137 0.4140358558 83 0.7006937505 0.6167990137 84 1.1079832242 0.7006937505 85 1.0326859046 1.1079832242 86 0.4757057240 1.0326859046 87 0.7834688819 0.4757057240 88 1.0353636187 0.7834688819 89 1.0306530924 1.0353636187 90 1.2403557728 1.0306530924 91 1.2973755922 1.2403557728 92 1.5351387501 1.2973755922 93 1.6830334869 1.5351387501 94 1.6513229606 1.6830334869 95 1.2370256410 1.6513229606 96 1.4940454604 1.2370256410 97 1.3508086183 1.4940454604 98 1.0797033552 1.3508086183 99 1.1579928288 1.0797033552 100 1.3726955092 1.1579928288 101 1.0807153286 1.3726955092 102 0.9614784865 1.0807153286 103 0.7663732234 0.9614784865 104 1.0526626970 0.7663732234 105 1.1693653774 1.0526626970 106 1.5243851968 1.1693653774 107 1.5671483547 1.5243851968 108 1.4830430916 1.5671483547 109 1.5113325653 1.4830430916 110 1.4110352456 1.5113325653 111 1.2590550650 1.4110352456 112 1.0688182229 1.2590550650 113 0.9367129598 1.0688182229 114 0.4180024335 0.9367129598 115 -0.0072948862 0.4180024335 116 -0.5672750668 -0.0072948862 117 -0.7515119089 -0.5672750668 118 -1.2946171720 -0.7515119089 119 -0.8853276983 -1.2946171720 120 -1.0556250179 -0.8853276983 121 -0.6366051986 -1.0556250179 122 -0.2298420407 -0.6366051986 123 -0.0899473038 -0.2298420407 124 -0.3846578301 -0.0899473038 125 -0.3539551497 -0.3846578301 126 -1.0359353303 -0.3539551497 127 -1.2261721725 -1.0359353303 128 -1.0952774356 -1.2261721725 129 -1.1519879619 -1.0952774356 130 -0.9262852815 -1.1519879619 131 -0.7472654621 -0.9262852815 132 -0.6365023042 -0.7472654621 133 -0.3336075674 -0.6365023042 134 -0.1883180937 -0.3336075674 135 0.1253845867 -0.1883180937 136 0.1574044061 0.1253845867 137 -0.0318324360 0.1574044061 138 -0.3729376992 -0.0318324360 139 -0.3506482255 -0.3729376992 140 0.1010544549 -0.3506482255 141 0.2790742743 0.1010544549 142 -0.0331625678 0.2790742743 143 -0.1862678310 -0.0331625678 144 -0.1019783573 -0.1862678310 145 0.1877243231 -0.1019783573 146 0.3677441425 0.1877243231 147 0.4635073004 0.3677441425 148 0.0804020372 0.4635073004 149 0.2246915109 0.0804020372 150 0.0003941913 0.2246915109 151 -0.5475859893 0.0003941913 152 -0.4828228314 -0.5475859893 153 -0.5479280946 -0.4828228314 154 0.1413613791 -0.5479280946 155 -0.2559359405 0.1413613791 156 -0.2459161211 -0.2559359405 157 -0.5151529632 -0.2459161211 158 -0.7252582264 -0.5151529632 159 -1.0979687527 -0.7252582264 160 -0.8492660723 -1.0979687527 161 -0.4532462529 -0.8492660723 162 -0.6314830950 -0.4532462529 163 -0.2785883582 -0.6314830950 164 -0.1612988845 -0.2785883582 165 -0.0715962041 -0.1612988845 166 -0.0865763847 -0.0715962041 167 0.0821867732 -0.0865763847 168 -0.1029184900 0.0821867732 169 -0.0986290163 -0.1029184900 170 -0.3989263359 -0.0986290163 171 -0.5459065165 -0.3989263359 172 -0.3231433586 -0.5459065165 173 0.0197513782 -0.3231433586 174 -0.0219591481 0.0197513782 175 -0.6262564677 -0.0219591481 176 0.0207633517 -0.6262564677 177 0.0035265096 0.0207633517 178 -0.2725787536 0.0035265096 179 -0.5182892799 -0.2725787536 180 -0.3805865995 -0.5182892799 181 -0.1355667801 -0.3805865995 182 -0.1898036222 -0.1355667801 183 -0.0809088853 -0.1898036222 184 0.0413805883 -0.0809088853 185 -0.1599167313 0.0413805883 186 -0.1358969119 -0.1599167313 187 0.1868662460 -0.1358969119 188 0.0877609829 0.1868662460 189 0.1030504565 0.0877609829 190 -0.0572468631 0.1030504565 191 NA -0.0572468631 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 0.9673179645 0.8792981451 [2,] 0.6300811224 0.9673179645 [3,] 0.8129758592 0.6300811224 [4,] -1.0787346671 0.8129758592 [5,] -0.9140319867 -1.0787346671 [6,] -0.7260121673 -0.9140319867 [7,] -0.7432490094 -0.7260121673 [8,] -0.8103542725 -0.7432490094 [9,] -0.7220647989 -0.8103542725 [10,] -0.1173621185 -0.7220647989 [11,] -0.2193422991 -0.1173621185 [12,] -0.3665791412 -0.2193422991 [13,] -0.5836844043 -0.3665791412 [14,] -0.5053949307 -0.5836844043 [15,] -0.4706922503 -0.5053949307 [16,] -0.8826724309 -0.4706922503 [17,] -0.8999092730 -0.8826724309 [18,] -0.5770145361 -0.8999092730 [19,] -0.2687250625 -0.5770145361 [20,] -0.1840223821 -0.2687250625 [21,] -0.0860025627 -0.1840223821 [22,] -0.0932394048 -0.0860025627 [23,] -0.1903446679 -0.0932394048 [24,] -0.2220551942 -0.1903446679 [25,] -0.2173525139 -0.2220551942 [26,] -0.2793326945 -0.2173525139 [27,] -0.1465695366 -0.2793326945 [28,] 0.0363252003 -0.1465695366 [29,] -0.0153853260 0.0363252003 [30,] 0.0093173544 -0.0153853260 [31,] 0.0673371737 0.0093173544 [32,] 0.0701003316 0.0673371737 [33,] 0.0629950685 0.0701003316 [34,] 0.1812845422 0.0629950685 [35,] 0.0259872226 0.1812845422 [36,] -0.3159929580 0.0259872226 [37,] -0.2032298002 -0.3159929580 [38,] -0.3803350633 -0.2032298002 [39,] -0.3820455896 -0.3803350633 [40,] -0.9173429092 -0.3820455896 [41,] -0.6993230898 -0.9173429092 [42,] -0.5065599319 -0.6993230898 [43,] -0.1736651951 -0.5065599319 [44,] -0.1753757214 -0.1736651951 [45,] -0.4306730410 -0.1753757214 [46,] -0.3826532216 -0.4306730410 [47,] -0.3898900637 -0.3826532216 [48,] -0.1869953269 -0.3898900637 [49,] -0.1287058532 -0.1869953269 [50,] -0.0940031728 -0.1287058532 [51,] -0.2659833534 -0.0940031728 [52,] -0.3932201955 -0.2659833534 [53,] 0.0096745413 -0.3932201955 [54,] 0.2479640150 0.0096745413 [55,] 0.2226666954 0.2479640150 [56,] 0.0706865148 0.2226666954 [57,] 0.0534496727 0.0706865148 [58,] 0.2063444095 0.0534496727 [59,] -0.0553661168 0.2063444095 [60,] -0.0506634364 -0.0553661168 [61,] -0.0626436170 -0.0506634364 [62,] -0.0498804591 -0.0626436170 [63,] -0.1369857223 -0.0498804591 [64,] 0.0913037514 -0.1369857223 [65,] -0.0539935682 0.0913037514 [66,] 0.0140262512 -0.0539935682 [67,] 0.0667894091 0.0140262512 [68,] 0.0696841459 0.0667894091 [69,] 0.1279736196 0.0696841459 [70,] 0.1326763000 0.1279736196 [71,] 0.0406961194 0.1326763000 [72,] -0.0565407227 0.0406961194 [73,] -0.1336459859 -0.0565407227 [74,] -0.3753565122 -0.1336459859 [75,] -0.5206538318 -0.3753565122 [76,] -0.4726340124 -0.5206538318 [77,] -0.5398708545 -0.4726340124 [78,] -0.5169761177 -0.5398708545 [79,] -0.1986866440 -0.5169761177 [80,] -0.0339839636 -0.1986866440 [81,] 0.4140358558 -0.0339839636 [82,] 0.6167990137 0.4140358558 [83,] 0.7006937505 0.6167990137 [84,] 1.1079832242 0.7006937505 [85,] 1.0326859046 1.1079832242 [86,] 0.4757057240 1.0326859046 [87,] 0.7834688819 0.4757057240 [88,] 1.0353636187 0.7834688819 [89,] 1.0306530924 1.0353636187 [90,] 1.2403557728 1.0306530924 [91,] 1.2973755922 1.2403557728 [92,] 1.5351387501 1.2973755922 [93,] 1.6830334869 1.5351387501 [94,] 1.6513229606 1.6830334869 [95,] 1.2370256410 1.6513229606 [96,] 1.4940454604 1.2370256410 [97,] 1.3508086183 1.4940454604 [98,] 1.0797033552 1.3508086183 [99,] 1.1579928288 1.0797033552 [100,] 1.3726955092 1.1579928288 [101,] 1.0807153286 1.3726955092 [102,] 0.9614784865 1.0807153286 [103,] 0.7663732234 0.9614784865 [104,] 1.0526626970 0.7663732234 [105,] 1.1693653774 1.0526626970 [106,] 1.5243851968 1.1693653774 [107,] 1.5671483547 1.5243851968 [108,] 1.4830430916 1.5671483547 [109,] 1.5113325653 1.4830430916 [110,] 1.4110352456 1.5113325653 [111,] 1.2590550650 1.4110352456 [112,] 1.0688182229 1.2590550650 [113,] 0.9367129598 1.0688182229 [114,] 0.4180024335 0.9367129598 [115,] -0.0072948862 0.4180024335 [116,] -0.5672750668 -0.0072948862 [117,] -0.7515119089 -0.5672750668 [118,] -1.2946171720 -0.7515119089 [119,] -0.8853276983 -1.2946171720 [120,] -1.0556250179 -0.8853276983 [121,] -0.6366051986 -1.0556250179 [122,] -0.2298420407 -0.6366051986 [123,] -0.0899473038 -0.2298420407 [124,] -0.3846578301 -0.0899473038 [125,] -0.3539551497 -0.3846578301 [126,] -1.0359353303 -0.3539551497 [127,] -1.2261721725 -1.0359353303 [128,] -1.0952774356 -1.2261721725 [129,] -1.1519879619 -1.0952774356 [130,] -0.9262852815 -1.1519879619 [131,] -0.7472654621 -0.9262852815 [132,] -0.6365023042 -0.7472654621 [133,] -0.3336075674 -0.6365023042 [134,] -0.1883180937 -0.3336075674 [135,] 0.1253845867 -0.1883180937 [136,] 0.1574044061 0.1253845867 [137,] -0.0318324360 0.1574044061 [138,] -0.3729376992 -0.0318324360 [139,] -0.3506482255 -0.3729376992 [140,] 0.1010544549 -0.3506482255 [141,] 0.2790742743 0.1010544549 [142,] -0.0331625678 0.2790742743 [143,] -0.1862678310 -0.0331625678 [144,] -0.1019783573 -0.1862678310 [145,] 0.1877243231 -0.1019783573 [146,] 0.3677441425 0.1877243231 [147,] 0.4635073004 0.3677441425 [148,] 0.0804020372 0.4635073004 [149,] 0.2246915109 0.0804020372 [150,] 0.0003941913 0.2246915109 [151,] -0.5475859893 0.0003941913 [152,] -0.4828228314 -0.5475859893 [153,] -0.5479280946 -0.4828228314 [154,] 0.1413613791 -0.5479280946 [155,] -0.2559359405 0.1413613791 [156,] -0.2459161211 -0.2559359405 [157,] -0.5151529632 -0.2459161211 [158,] -0.7252582264 -0.5151529632 [159,] -1.0979687527 -0.7252582264 [160,] -0.8492660723 -1.0979687527 [161,] -0.4532462529 -0.8492660723 [162,] -0.6314830950 -0.4532462529 [163,] -0.2785883582 -0.6314830950 [164,] -0.1612988845 -0.2785883582 [165,] -0.0715962041 -0.1612988845 [166,] -0.0865763847 -0.0715962041 [167,] 0.0821867732 -0.0865763847 [168,] -0.1029184900 0.0821867732 [169,] -0.0986290163 -0.1029184900 [170,] -0.3989263359 -0.0986290163 [171,] -0.5459065165 -0.3989263359 [172,] -0.3231433586 -0.5459065165 [173,] 0.0197513782 -0.3231433586 [174,] -0.0219591481 0.0197513782 [175,] -0.6262564677 -0.0219591481 [176,] 0.0207633517 -0.6262564677 [177,] 0.0035265096 0.0207633517 [178,] -0.2725787536 0.0035265096 [179,] -0.5182892799 -0.2725787536 [180,] -0.3805865995 -0.5182892799 [181,] -0.1355667801 -0.3805865995 [182,] -0.1898036222 -0.1355667801 [183,] -0.0809088853 -0.1898036222 [184,] 0.0413805883 -0.0809088853 [185,] -0.1599167313 0.0413805883 [186,] -0.1358969119 -0.1599167313 [187,] 0.1868662460 -0.1358969119 [188,] 0.0877609829 0.1868662460 [189,] 0.1030504565 0.0877609829 [190,] -0.0572468631 0.1030504565 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 0.9673179645 0.8792981451 2 0.6300811224 0.9673179645 3 0.8129758592 0.6300811224 4 -1.0787346671 0.8129758592 5 -0.9140319867 -1.0787346671 6 -0.7260121673 -0.9140319867 7 -0.7432490094 -0.7260121673 8 -0.8103542725 -0.7432490094 9 -0.7220647989 -0.8103542725 10 -0.1173621185 -0.7220647989 11 -0.2193422991 -0.1173621185 12 -0.3665791412 -0.2193422991 13 -0.5836844043 -0.3665791412 14 -0.5053949307 -0.5836844043 15 -0.4706922503 -0.5053949307 16 -0.8826724309 -0.4706922503 17 -0.8999092730 -0.8826724309 18 -0.5770145361 -0.8999092730 19 -0.2687250625 -0.5770145361 20 -0.1840223821 -0.2687250625 21 -0.0860025627 -0.1840223821 22 -0.0932394048 -0.0860025627 23 -0.1903446679 -0.0932394048 24 -0.2220551942 -0.1903446679 25 -0.2173525139 -0.2220551942 26 -0.2793326945 -0.2173525139 27 -0.1465695366 -0.2793326945 28 0.0363252003 -0.1465695366 29 -0.0153853260 0.0363252003 30 0.0093173544 -0.0153853260 31 0.0673371737 0.0093173544 32 0.0701003316 0.0673371737 33 0.0629950685 0.0701003316 34 0.1812845422 0.0629950685 35 0.0259872226 0.1812845422 36 -0.3159929580 0.0259872226 37 -0.2032298002 -0.3159929580 38 -0.3803350633 -0.2032298002 39 -0.3820455896 -0.3803350633 40 -0.9173429092 -0.3820455896 41 -0.6993230898 -0.9173429092 42 -0.5065599319 -0.6993230898 43 -0.1736651951 -0.5065599319 44 -0.1753757214 -0.1736651951 45 -0.4306730410 -0.1753757214 46 -0.3826532216 -0.4306730410 47 -0.3898900637 -0.3826532216 48 -0.1869953269 -0.3898900637 49 -0.1287058532 -0.1869953269 50 -0.0940031728 -0.1287058532 51 -0.2659833534 -0.0940031728 52 -0.3932201955 -0.2659833534 53 0.0096745413 -0.3932201955 54 0.2479640150 0.0096745413 55 0.2226666954 0.2479640150 56 0.0706865148 0.2226666954 57 0.0534496727 0.0706865148 58 0.2063444095 0.0534496727 59 -0.0553661168 0.2063444095 60 -0.0506634364 -0.0553661168 61 -0.0626436170 -0.0506634364 62 -0.0498804591 -0.0626436170 63 -0.1369857223 -0.0498804591 64 0.0913037514 -0.1369857223 65 -0.0539935682 0.0913037514 66 0.0140262512 -0.0539935682 67 0.0667894091 0.0140262512 68 0.0696841459 0.0667894091 69 0.1279736196 0.0696841459 70 0.1326763000 0.1279736196 71 0.0406961194 0.1326763000 72 -0.0565407227 0.0406961194 73 -0.1336459859 -0.0565407227 74 -0.3753565122 -0.1336459859 75 -0.5206538318 -0.3753565122 76 -0.4726340124 -0.5206538318 77 -0.5398708545 -0.4726340124 78 -0.5169761177 -0.5398708545 79 -0.1986866440 -0.5169761177 80 -0.0339839636 -0.1986866440 81 0.4140358558 -0.0339839636 82 0.6167990137 0.4140358558 83 0.7006937505 0.6167990137 84 1.1079832242 0.7006937505 85 1.0326859046 1.1079832242 86 0.4757057240 1.0326859046 87 0.7834688819 0.4757057240 88 1.0353636187 0.7834688819 89 1.0306530924 1.0353636187 90 1.2403557728 1.0306530924 91 1.2973755922 1.2403557728 92 1.5351387501 1.2973755922 93 1.6830334869 1.5351387501 94 1.6513229606 1.6830334869 95 1.2370256410 1.6513229606 96 1.4940454604 1.2370256410 97 1.3508086183 1.4940454604 98 1.0797033552 1.3508086183 99 1.1579928288 1.0797033552 100 1.3726955092 1.1579928288 101 1.0807153286 1.3726955092 102 0.9614784865 1.0807153286 103 0.7663732234 0.9614784865 104 1.0526626970 0.7663732234 105 1.1693653774 1.0526626970 106 1.5243851968 1.1693653774 107 1.5671483547 1.5243851968 108 1.4830430916 1.5671483547 109 1.5113325653 1.4830430916 110 1.4110352456 1.5113325653 111 1.2590550650 1.4110352456 112 1.0688182229 1.2590550650 113 0.9367129598 1.0688182229 114 0.4180024335 0.9367129598 115 -0.0072948862 0.4180024335 116 -0.5672750668 -0.0072948862 117 -0.7515119089 -0.5672750668 118 -1.2946171720 -0.7515119089 119 -0.8853276983 -1.2946171720 120 -1.0556250179 -0.8853276983 121 -0.6366051986 -1.0556250179 122 -0.2298420407 -0.6366051986 123 -0.0899473038 -0.2298420407 124 -0.3846578301 -0.0899473038 125 -0.3539551497 -0.3846578301 126 -1.0359353303 -0.3539551497 127 -1.2261721725 -1.0359353303 128 -1.0952774356 -1.2261721725 129 -1.1519879619 -1.0952774356 130 -0.9262852815 -1.1519879619 131 -0.7472654621 -0.9262852815 132 -0.6365023042 -0.7472654621 133 -0.3336075674 -0.6365023042 134 -0.1883180937 -0.3336075674 135 0.1253845867 -0.1883180937 136 0.1574044061 0.1253845867 137 -0.0318324360 0.1574044061 138 -0.3729376992 -0.0318324360 139 -0.3506482255 -0.3729376992 140 0.1010544549 -0.3506482255 141 0.2790742743 0.1010544549 142 -0.0331625678 0.2790742743 143 -0.1862678310 -0.0331625678 144 -0.1019783573 -0.1862678310 145 0.1877243231 -0.1019783573 146 0.3677441425 0.1877243231 147 0.4635073004 0.3677441425 148 0.0804020372 0.4635073004 149 0.2246915109 0.0804020372 150 0.0003941913 0.2246915109 151 -0.5475859893 0.0003941913 152 -0.4828228314 -0.5475859893 153 -0.5479280946 -0.4828228314 154 0.1413613791 -0.5479280946 155 -0.2559359405 0.1413613791 156 -0.2459161211 -0.2559359405 157 -0.5151529632 -0.2459161211 158 -0.7252582264 -0.5151529632 159 -1.0979687527 -0.7252582264 160 -0.8492660723 -1.0979687527 161 -0.4532462529 -0.8492660723 162 -0.6314830950 -0.4532462529 163 -0.2785883582 -0.6314830950 164 -0.1612988845 -0.2785883582 165 -0.0715962041 -0.1612988845 166 -0.0865763847 -0.0715962041 167 0.0821867732 -0.0865763847 168 -0.1029184900 0.0821867732 169 -0.0986290163 -0.1029184900 170 -0.3989263359 -0.0986290163 171 -0.5459065165 -0.3989263359 172 -0.3231433586 -0.5459065165 173 0.0197513782 -0.3231433586 174 -0.0219591481 0.0197513782 175 -0.6262564677 -0.0219591481 176 0.0207633517 -0.6262564677 177 0.0035265096 0.0207633517 178 -0.2725787536 0.0035265096 179 -0.5182892799 -0.2725787536 180 -0.3805865995 -0.5182892799 181 -0.1355667801 -0.3805865995 182 -0.1898036222 -0.1355667801 183 -0.0809088853 -0.1898036222 184 0.0413805883 -0.0809088853 185 -0.1599167313 0.0413805883 186 -0.1358969119 -0.1599167313 187 0.1868662460 -0.1358969119 188 0.0877609829 0.1868662460 189 0.1030504565 0.0877609829 190 -0.0572468631 0.1030504565 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7qmuu1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8d1vh1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/98psm1322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10i2j61322228256.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/11drww1322228256.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/12qk7a1322228257.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/13wwxg1322228257.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/14ytho1322228257.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/15fbjt1322228257.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/16deal1322228257.tab") + } > > try(system("convert tmp/136tb1322228256.ps tmp/136tb1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/2et9w1322228256.ps tmp/2et9w1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/3nb8q1322228256.ps tmp/3nb8q1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/4jyna1322228256.ps tmp/4jyna1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/5jcpm1322228256.ps tmp/5jcpm1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/6j1v11322228256.ps tmp/6j1v11322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/7qmuu1322228256.ps tmp/7qmuu1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/8d1vh1322228256.ps tmp/8d1vh1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/98psm1322228256.ps tmp/98psm1322228256.png",intern=TRUE)) character(0) > try(system("convert tmp/10i2j61322228256.ps tmp/10i2j61322228256.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.632 0.692 7.473