R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(47 + ,46 + ,26 + ,99 + ,24 + ,48 + ,20 + ,77 + ,31 + ,37 + ,24 + ,90 + ,42 + ,75 + ,25 + ,96 + ,24 + ,31 + ,15 + ,41 + ,10 + ,18 + ,16 + ,64 + ,85 + ,79 + ,20 + ,76 + ,9 + ,16 + ,18 + ,67 + ,32 + ,38 + ,19 + ,72 + ,36 + ,24 + ,20 + ,75 + ,45 + ,65 + ,30 + ,113 + ,36 + ,74 + ,37 + ,139 + ,28 + ,43 + ,23 + ,76 + ,54 + ,42 + ,36 + ,123 + ,39 + ,55 + ,29 + ,110 + ,70 + ,121 + ,35 + ,133 + ,50 + ,42 + ,24 + ,92 + ,55 + ,102 + ,22 + ,83 + ,32 + ,36 + ,19 + ,72 + ,44 + ,50 + ,30 + ,115 + ,46 + ,48 + ,27 + ,99 + ,80 + ,56 + ,26 + ,92 + ,25 + ,19 + ,15 + ,56 + ,30 + ,32 + ,30 + ,120 + ,41 + ,77 + ,28 + ,107 + ,40 + ,90 + ,24 + ,90 + ,45 + ,81 + ,21 + ,78 + ,45 + ,55 + ,27 + ,103 + ,30 + ,34 + ,21 + ,81 + ,52 + ,38 + ,30 + ,114 + ,53 + ,53 + ,30 + ,115 + ,36 + ,48 + ,33 + ,118 + ,57 + ,63 + ,30 + ,113 + ,17 + ,25 + ,20 + ,75 + ,68 + ,56 + ,27 + ,103 + ,46 + ,37 + ,25 + ,93 + ,73 + ,83 + ,30 + ,114 + ,34 + ,50 + ,20 + ,76 + ,22 + ,26 + ,8 + ,27 + ,58 + ,108 + ,24 + ,92 + ,62 + ,55 + ,25 + ,96 + ,32 + ,41 + ,25 + ,92 + ,38 + ,49 + ,21 + ,76 + ,23 + ,31 + ,21 + ,79 + ,26 + ,49 + ,21 + ,57 + ,85 + ,96 + ,26 + ,99 + ,22 + ,42 + ,26 + ,82 + ,44 + ,55 + ,30 + ,113 + ,62 + ,70 + ,34 + ,129 + ,36 + ,39 + ,30 + ,110 + ,36 + ,53 + ,18 + ,78 + ,7 + ,24 + ,4 + ,12 + ,72 + ,209 + ,31 + ,114 + ,18 + ,17 + ,18 + ,67 + ,27 + ,58 + ,14 + ,52 + ,48 + ,27 + ,20 + ,76 + ,50 + ,58 + ,36 + ,138 + ,55 + ,114 + ,24 + ,92 + ,59 + ,75 + ,26 + ,93 + ,39 + ,51 + ,22 + ,83 + ,68 + ,86 + ,31 + ,118 + ,57 + ,77 + ,21 + ,77 + ,40 + ,62 + ,31 + ,122 + ,47 + ,60 + ,26 + ,99 + ,39 + ,39 + ,24 + ,92 + ,32 + ,35 + ,15 + ,58 + ,32 + ,86 + ,19 + ,73 + ,40 + ,102 + ,28 + ,103 + ,42 + ,49 + ,24 + ,92 + ,26 + ,35 + ,18 + ,69 + ,33 + ,33 + ,25 + ,95 + ,19 + ,28 + ,20 + ,76 + ,35 + ,44 + ,25 + ,95 + ,41 + ,37 + ,24 + ,92 + ,27 + ,33 + ,23 + ,88 + ,53 + ,45 + ,25 + ,95 + ,55 + ,57 + ,20 + ,76 + ,29 + ,58 + ,23 + ,87 + ,25 + ,36 + ,22 + ,84 + ,33 + ,42 + ,25 + ,95 + ,27 + ,30 + ,18 + ,69 + ,76 + ,67 + ,30 + ,115 + ,37 + ,53 + ,22 + ,83 + ,38 + ,59 + ,25 + ,47 + ,22 + ,25 + ,8 + ,28 + ,30 + ,39 + ,21 + ,79 + ,27 + ,36 + ,22 + ,83 + ,63 + ,114 + ,24 + ,92 + ,48 + ,54 + ,30 + ,98 + ,33 + ,70 + ,27 + ,103 + ,37 + ,51 + ,24 + ,89 + ,42 + ,49 + ,25 + ,95 + ,31 + ,42 + ,21 + ,78 + ,47 + ,51 + ,24 + ,92 + ,52 + ,51 + ,24 + ,92 + ,36 + ,27 + ,20 + ,76 + ,40 + ,29 + ,20 + ,67 + ,53 + ,54 + ,24 + ,92 + ,56 + ,92 + ,40 + ,151 + ,69 + ,72 + ,22 + ,83 + ,43 + ,63 + ,31 + ,118 + ,51 + ,41 + ,26 + ,98 + ,30 + ,111 + ,20 + ,76 + ,12 + ,14 + ,19 + ,71 + ,35 + ,45 + ,15 + ,57 + ,36 + ,91 + ,21 + ,79 + ,41 + ,29 + ,22 + ,83 + ,52 + ,64 + ,24 + ,92 + ,21 + ,32 + ,19 + ,75 + ,26 + ,65 + ,24 + ,95 + ,49 + ,42 + ,23 + ,88 + ,39 + ,55 + ,27 + ,99 + ,6 + ,10 + ,1 + ,0 + ,35 + ,53 + ,24 + ,91 + ,17 + ,25 + ,11 + ,32 + ,25 + ,33 + ,27 + ,101 + ,71 + ,66 + ,22 + ,84 + ,6 + ,16 + ,0 + ,0 + ,47 + ,35 + ,17 + ,60 + ,9 + ,19 + ,8 + ,25 + ,52 + ,76 + ,24 + ,90 + ,38 + ,35 + ,31 + ,115 + ,21 + ,46 + ,24 + ,92 + ,21 + ,29 + ,20 + ,71 + ,11 + ,34 + ,8 + ,27 + ,25 + ,25 + ,22 + ,83 + ,54 + ,48 + ,33 + ,126 + ,38 + ,38 + ,33 + ,125 + ,68 + ,50 + ,31 + ,119 + ,56 + ,65 + ,33 + ,127 + ,71 + ,72 + ,35 + ,133 + ,39 + ,23 + ,21 + ,79 + ,21 + ,29 + ,20 + ,76 + ,53 + ,194 + ,24 + ,92 + ,78 + ,114 + ,29 + ,109 + ,14 + ,15 + ,20 + ,76 + ,70 + ,86 + ,27 + ,100 + ,29 + ,50 + ,24 + ,87 + ,47 + ,33 + ,26 + ,97 + ,36 + ,50 + ,26 + ,95 + ,21 + ,72 + ,12 + ,48 + ,69 + ,81 + ,21 + ,80 + ,42 + ,54 + ,24 + ,91 + ,48 + ,63 + ,21 + ,79 + ,55 + ,69 + ,30 + ,114 + ,19 + ,39 + ,32 + ,120 + ,39 + ,49 + ,24 + ,89 + ,51 + ,67 + ,29 + ,111 + ,0 + ,0 + ,0 + ,0 + ,4 + ,10 + ,0 + ,0 + ,0 + ,1 + ,0 + ,0 + ,0 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,38 + ,58 + ,20 + ,74 + ,51 + ,72 + ,27 + ,107 + ,0 + ,0 + ,0 + ,0 + ,0 + ,4 + ,0 + ,0 + ,2 + ,5 + ,0 + ,0 + ,13 + ,20 + ,5 + ,15 + ,5 + ,5 + ,1 + ,4 + ,20 + ,27 + ,23 + ,82 + ,0 + ,2 + ,0 + ,0 + ,29 + ,33 + ,16 + ,54) + ,dim=c(4 + ,164) + ,dimnames=list(c('Y' + ,'X1' + ,'X2' + ,'X3') + ,1:164)) > y <- array(NA,dim=c(4,164),dimnames=list(c('Y','X1','X2','X3'),1:164)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '3' > 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,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),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 X2 Y X1 X3 1 26 47 46 99 2 20 24 48 77 3 24 31 37 90 4 25 42 75 96 5 15 24 31 41 6 16 10 18 64 7 20 85 79 76 8 18 9 16 67 9 19 32 38 72 10 20 36 24 75 11 30 45 65 113 12 37 36 74 139 13 23 28 43 76 14 36 54 42 123 15 29 39 55 110 16 35 70 121 133 17 24 50 42 92 18 22 55 102 83 19 19 32 36 72 20 30 44 50 115 21 27 46 48 99 22 26 80 56 92 23 15 25 19 56 24 30 30 32 120 25 28 41 77 107 26 24 40 90 90 27 21 45 81 78 28 27 45 55 103 29 21 30 34 81 30 30 52 38 114 31 30 53 53 115 32 33 36 48 118 33 30 57 63 113 34 20 17 25 75 35 27 68 56 103 36 25 46 37 93 37 30 73 83 114 38 20 34 50 76 39 8 22 26 27 40 24 58 108 92 41 25 62 55 96 42 25 32 41 92 43 21 38 49 76 44 21 23 31 79 45 21 26 49 57 46 26 85 96 99 47 26 22 42 82 48 30 44 55 113 49 34 62 70 129 50 30 36 39 110 51 18 36 53 78 52 4 7 24 12 53 31 72 209 114 54 18 18 17 67 55 14 27 58 52 56 20 48 27 76 57 36 50 58 138 58 24 55 114 92 59 26 59 75 93 60 22 39 51 83 61 31 68 86 118 62 21 57 77 77 63 31 40 62 122 64 26 47 60 99 65 24 39 39 92 66 15 32 35 58 67 19 32 86 73 68 28 40 102 103 69 24 42 49 92 70 18 26 35 69 71 25 33 33 95 72 20 19 28 76 73 25 35 44 95 74 24 41 37 92 75 23 27 33 88 76 25 53 45 95 77 20 55 57 76 78 23 29 58 87 79 22 25 36 84 80 25 33 42 95 81 18 27 30 69 82 30 76 67 115 83 22 37 53 83 84 25 38 59 47 85 8 22 25 28 86 21 30 39 79 87 22 27 36 83 88 24 63 114 92 89 30 48 54 98 90 27 33 70 103 91 24 37 51 89 92 25 42 49 95 93 21 31 42 78 94 24 47 51 92 95 24 52 51 92 96 20 36 27 76 97 20 40 29 67 98 24 53 54 92 99 40 56 92 151 100 22 69 72 83 101 31 43 63 118 102 26 51 41 98 103 20 30 111 76 104 19 12 14 71 105 15 35 45 57 106 21 36 91 79 107 22 41 29 83 108 24 52 64 92 109 19 21 32 75 110 24 26 65 95 111 23 49 42 88 112 27 39 55 99 113 1 6 10 0 114 24 35 53 91 115 11 17 25 32 116 27 25 33 101 117 22 71 66 84 118 0 6 16 0 119 17 47 35 60 120 8 9 19 25 121 24 52 76 90 122 31 38 35 115 123 24 21 46 92 124 20 21 29 71 125 8 11 34 27 126 22 25 25 83 127 33 54 48 126 128 33 38 38 125 129 31 68 50 119 130 33 56 65 127 131 35 71 72 133 132 21 39 23 79 133 20 21 29 76 134 24 53 194 92 135 29 78 114 109 136 20 14 15 76 137 27 70 86 100 138 24 29 50 87 139 26 47 33 97 140 26 36 50 95 141 12 21 72 48 142 21 69 81 80 143 24 42 54 91 144 21 48 63 79 145 30 55 69 114 146 32 19 39 120 147 24 39 49 89 148 29 51 67 111 149 0 0 0 0 150 0 4 10 0 151 0 0 1 0 152 0 0 2 0 153 0 0 0 0 154 0 0 0 0 155 20 38 58 74 156 27 51 72 107 157 0 0 0 0 158 0 0 4 0 159 0 2 5 0 160 5 13 20 15 161 1 5 5 4 162 23 20 27 82 163 0 0 2 0 164 16 29 33 54 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Y X1 X3 0.843098 0.005805 0.000767 0.254588 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -2.9506 -0.5855 -0.2687 0.0967 11.9254 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.843098 0.287200 2.936 0.00382 ** Y 0.005805 0.009457 0.614 0.54021 X1 0.000767 0.004946 0.155 0.87695 X3 0.254588 0.004702 54.143 < 2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.383 on 160 degrees of freedom Multiple R-squared: 0.9753, Adjusted R-squared: 0.9748 F-statistic: 2105 on 3 and 160 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,] 0.789624160 4.207517e-01 2.103758e-01 [2,] 0.667172841 6.656543e-01 3.328272e-01 [3,] 0.550201310 8.995974e-01 4.497987e-01 [4,] 0.419042834 8.380857e-01 5.809572e-01 [5,] 0.442365435 8.847309e-01 5.576346e-01 [6,] 0.469732653 9.394653e-01 5.302673e-01 [7,] 0.621919259 7.561615e-01 3.780807e-01 [8,] 0.902872282 1.942554e-01 9.712772e-02 [9,] 0.865071569 2.698569e-01 1.349284e-01 [10,] 0.817081011 3.658380e-01 1.829190e-01 [11,] 0.794949308 4.101014e-01 2.050507e-01 [12,] 0.734601492 5.307970e-01 2.653985e-01 [13,] 0.684392808 6.312144e-01 3.156072e-01 [14,] 0.634803130 7.303937e-01 3.651969e-01 [15,] 0.568164893 8.636702e-01 4.318351e-01 [16,] 0.516782431 9.664351e-01 4.832176e-01 [17,] 0.461870521 9.237410e-01 5.381295e-01 [18,] 0.516036199 9.679276e-01 4.839638e-01 [19,] 0.450241454 9.004829e-01 5.497585e-01 [20,] 0.385658203 7.713164e-01 6.143418e-01 [21,] 0.323917777 6.478356e-01 6.760822e-01 [22,] 0.274127242 5.482545e-01 7.258728e-01 [23,] 0.241138521 4.822770e-01 7.588615e-01 [24,] 0.198703806 3.974076e-01 8.012962e-01 [25,] 0.164160000 3.283200e-01 8.358400e-01 [26,] 0.206074714 4.121494e-01 7.939253e-01 [27,] 0.165676169 3.313523e-01 8.343238e-01 [28,] 0.131351345 2.627027e-01 8.686487e-01 [29,] 0.110540267 2.210805e-01 8.894597e-01 [30,] 0.085173424 1.703468e-01 9.148266e-01 [31,] 0.066054484 1.321090e-01 9.339455e-01 [32,] 0.051481791 1.029636e-01 9.485182e-01 [33,] 0.038005341 7.601068e-02 9.619947e-01 [34,] 0.028853460 5.770692e-02 9.711465e-01 [35,] 0.023504703 4.700941e-02 9.764953e-01 [36,] 0.017424945 3.484989e-02 9.825751e-01 [37,] 0.012911266 2.582253e-02 9.870887e-01 [38,] 0.009076570 1.815314e-02 9.909234e-01 [39,] 0.348648968 6.972979e-01 6.513510e-01 [40,] 0.308657483 6.173150e-01 6.913425e-01 [41,] 0.641383799 7.172324e-01 3.586162e-01 [42,] 0.593457978 8.130840e-01 4.065420e-01 [43,] 0.544456337 9.110873e-01 4.555437e-01 [44,] 0.512949774 9.741005e-01 4.870502e-01 [45,] 0.708815352 5.823693e-01 2.911846e-01 [46,] 0.675065198 6.498696e-01 3.249348e-01 [47,] 0.641053316 7.178934e-01 3.589467e-01 [48,] 0.598472789 8.030544e-01 4.015272e-01 [49,] 0.559535088 8.809298e-01 4.404649e-01 [50,] 0.518899798 9.622004e-01 4.811002e-01 [51,] 0.472609276 9.452186e-01 5.273907e-01 [52,] 0.437959220 8.759184e-01 5.620408e-01 [53,] 0.419278448 8.385569e-01 5.807216e-01 [54,] 0.376476427 7.529529e-01 6.235236e-01 [55,] 0.334032056 6.680641e-01 6.659679e-01 [56,] 0.292292033 5.845841e-01 7.077080e-01 [57,] 0.282021010 5.640420e-01 7.179790e-01 [58,] 0.246599213 4.931984e-01 7.534008e-01 [59,] 0.217236416 4.344728e-01 7.827636e-01 [60,] 0.201160591 4.023212e-01 7.988394e-01 [61,] 0.180736320 3.614726e-01 8.192637e-01 [62,] 0.156825131 3.136503e-01 8.431749e-01 [63,] 0.135001929 2.700039e-01 8.649981e-01 [64,] 0.117616649 2.352333e-01 8.823834e-01 [65,] 0.097216523 1.944330e-01 9.027835e-01 [66,] 0.080752890 1.615058e-01 9.192471e-01 [67,] 0.065503723 1.310074e-01 9.344963e-01 [68,] 0.053970631 1.079413e-01 9.460294e-01 [69,] 0.043790547 8.758109e-02 9.562095e-01 [70,] 0.034700222 6.940044e-02 9.652998e-01 [71,] 0.028027713 5.605543e-02 9.719723e-01 [72,] 0.021661858 4.332372e-02 9.783381e-01 [73,] 0.016912078 3.382416e-02 9.830879e-01 [74,] 0.012790827 2.558165e-02 9.872092e-01 [75,] 0.010153874 2.030775e-02 9.898461e-01 [76,] 0.007891680 1.578336e-02 9.921083e-01 [77,] 0.005798303 1.159661e-02 9.942017e-01 [78,] 1.000000000 1.738178e-11 8.690891e-12 [79,] 1.000000000 3.329723e-11 1.664862e-11 [80,] 1.000000000 7.331415e-11 3.665707e-11 [81,] 1.000000000 1.592644e-10 7.963219e-11 [82,] 1.000000000 2.999933e-10 1.499967e-10 [83,] 1.000000000 2.626577e-15 1.313289e-15 [84,] 1.000000000 6.776426e-15 3.388213e-15 [85,] 1.000000000 1.620331e-14 8.101655e-15 [86,] 1.000000000 4.061055e-14 2.030528e-14 [87,] 1.000000000 1.020993e-13 5.104965e-14 [88,] 1.000000000 2.127536e-13 1.063768e-13 [89,] 1.000000000 4.302355e-13 2.151177e-13 [90,] 1.000000000 9.509307e-13 4.754653e-13 [91,] 1.000000000 4.637774e-14 2.318887e-14 [92,] 1.000000000 9.939445e-14 4.969722e-14 [93,] 1.000000000 2.332904e-13 1.166452e-13 [94,] 1.000000000 5.934047e-13 2.967023e-13 [95,] 1.000000000 1.495632e-12 7.478159e-13 [96,] 1.000000000 3.857138e-12 1.928569e-12 [97,] 1.000000000 9.062936e-12 4.531468e-12 [98,] 1.000000000 2.273841e-11 1.136921e-11 [99,] 1.000000000 4.813532e-11 2.406766e-11 [100,] 1.000000000 1.138817e-10 5.694086e-11 [101,] 1.000000000 2.683483e-10 1.341741e-10 [102,] 1.000000000 5.374872e-10 2.687436e-10 [103,] 1.000000000 4.721775e-10 2.360888e-10 [104,] 1.000000000 2.765681e-10 1.382840e-10 [105,] 1.000000000 5.470338e-10 2.735169e-10 [106,] 1.000000000 8.736086e-10 4.368043e-10 [107,] 0.999999999 1.463832e-09 7.319160e-10 [108,] 0.999999998 3.362005e-09 1.681003e-09 [109,] 1.000000000 4.135156e-11 2.067578e-11 [110,] 1.000000000 1.105637e-10 5.528183e-11 [111,] 1.000000000 2.565020e-10 1.282510e-10 [112,] 1.000000000 5.049449e-10 2.524725e-10 [113,] 1.000000000 4.555017e-10 2.277509e-10 [114,] 1.000000000 2.394540e-10 1.197270e-10 [115,] 1.000000000 6.307120e-10 3.153560e-10 [116,] 0.999999999 1.325816e-09 6.629082e-10 [117,] 0.999999999 2.544839e-09 1.272420e-09 [118,] 0.999999999 1.725740e-09 8.628700e-10 [119,] 0.999999999 2.358488e-09 1.179244e-09 [120,] 0.999999997 6.406034e-09 3.203017e-09 [121,] 0.999999993 1.380709e-08 6.903545e-09 [122,] 0.999999983 3.390730e-08 1.695365e-08 [123,] 0.999999972 5.588833e-08 2.794417e-08 [124,] 0.999999966 6.847827e-08 3.423913e-08 [125,] 0.999999928 1.443162e-07 7.215808e-08 [126,] 0.999999822 3.552412e-07 1.776206e-07 [127,] 0.999999616 7.688782e-07 3.844391e-07 [128,] 0.999999277 1.445191e-06 7.225953e-07 [129,] 0.999998403 3.194561e-06 1.597281e-06 [130,] 0.999997497 5.006545e-06 2.503273e-06 [131,] 0.999996044 7.911936e-06 3.955968e-06 [132,] 0.999995751 8.498091e-06 4.249045e-06 [133,] 0.999991150 1.769934e-05 8.849671e-06 [134,] 0.999986662 2.667698e-05 1.333849e-05 [135,] 0.999978928 4.214425e-05 2.107212e-05 [136,] 0.999947598 1.048037e-04 5.240186e-05 [137,] 0.999883810 2.323809e-04 1.161905e-04 [138,] 0.999736097 5.278051e-04 2.639025e-04 [139,] 0.999512667 9.746663e-04 4.873332e-04 [140,] 0.998895187 2.209625e-03 1.104813e-03 [141,] 0.997534360 4.931281e-03 2.465640e-03 [142,] 0.996984162 6.031675e-03 3.015838e-03 [143,] 0.994065758 1.186848e-02 5.934242e-03 [144,] 0.988251970 2.349606e-02 1.174803e-02 [145,] 0.976970228 4.605954e-02 2.302977e-02 [146,] 0.955593450 8.881310e-02 4.440655e-02 [147,] 0.922943693 1.541126e-01 7.705631e-02 [148,] 0.873195013 2.536100e-01 1.268050e-01 [149,] 0.883181960 2.336361e-01 1.168180e-01 [150,] 0.999776246 4.475078e-04 2.237539e-04 [151,] 0.999546955 9.060893e-04 4.530446e-04 > postscript(file="/var/wessaorg/rcomp/tmp/1z8r31321906567.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/wessaorg/rcomp/tmp/2jhwj1321906567.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3l83d1321906567.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4ue491321906567.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5gwc11321906567.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 = 164 Frequency = 1 1 2 3 4 5 -0.3554257875 -0.6225112499 0.0356473320 -0.5848808272 3.5556978144 6 7 8 9 10 -1.2085883156 -0.7457962493 0.0349864078 -0.3883396196 -0.1645849516 11 12 13 14 15 0.0773779218 0.5034290917 2.6126924895 3.4968951374 -0.1163587062 16 17 18 19 20 -0.2024570480 -0.5876559138 -0.3714085592 -0.3868055906 -0.4144881157 21 22 23 24 25 0.6488450294 1.2274605060 -0.2597236148 -1.5923542643 -0.3810785657 26 27 28 29 30 -0.0572480500 -0.0243125431 -0.3690714282 -0.6649543242 -0.1971346583 31 32 33 34 35 -0.4690327723 1.8697205291 0.0092538000 -0.0550598939 -0.5033498986 36 37 38 39 40 0.1848104919 -0.3535520751 -0.4275056875 0.1353752856 -0.6847176384 41 42 43 44 45 -0.6856374552 0.5175983271 0.5500419434 -0.1128432584 5.4568730536 46 47 48 49 50 -0.6143606572 4.1207602765 0.0908529128 -0.0985483390 0.9133280636 51 52 53 54 55 -2.9505925238 0.0428027606 0.5556089430 -0.0180242199 -0.2828946704 56 57 58 59 60 -0.4911321965 -0.3109784684 -0.6719051877 1.0802009439 -0.2394132849 61 62 63 64 65 -0.3451810911 0.1636854145 -1.1825892595 -0.3661639906 -0.5215015653 66 67 68 69 70 -0.8218058692 -0.6797443664 0.6239031195 -0.5465862481 -0.5874453492 71 72 73 74 75 -0.2458345543 -0.3235586797 -0.2658814057 -0.5315772281 -0.4288891254 76 77 78 79 80 -0.3711356465 -0.5547765530 -0.2050861294 -0.4012282752 -0.2527376848 81 82 83 84 85 -0.5894151226 -0.6132824313 -0.2293376221 11.9254252626 -0.1184457504 86 87 88 89 90 -0.1596132957 -0.1582499165 -0.7183439550 3.8872213010 -0.3109184949 91 92 93 94 95 0.2446681039 -0.3103503995 0.0868688653 -0.5771445066 -0.6061687361 96 97 98 99 100 -0.4214740456 1.8450649961 -0.6142746256 0.3184693065 -0.4296659667 101 102 103 104 105 -0.1824186098 -0.1202220481 -0.4510741887 0.0007536971 -0.5923025015 106 107 108 109 110 -0.2343271255 -0.2341486576 -0.6161399247 -1.0836483791 -1.2297450971 111 112 113 114 115 -0.5634988659 0.6841098492 0.1144024154 -0.2544323342 1.8922262772 116 117 118 119 120 0.2730759100 -0.6912616220 -0.8901996716 0.5819453412 0.7253834849 121 122 123 124 125 -0.1161679978 0.6318461774 -0.4223834405 0.9370048664 0.1930924745 126 127 128 129 130 -0.1382030651 -0.2714711011 0.0836646289 -0.5721566194 -0.5507080900 131 132 133 134 135 -0.1706781831 -0.1995846768 -0.3359353861 -0.7216566564 -0.1334135019 136 137 138 139 140 -0.2845632616 0.2257941259 0.8010499867 0.1637215021 0.7237116614 141 142 143 144 145 -1.2404515961 -0.6728049458 -0.2958332701 -0.2825088702 -0.2383266458 146 147 148 149 150 0.4661299391 0.2345924411 -0.4498090816 -0.8430983641 -0.8739878927 151 152 153 154 155 -0.8438653786 -0.8446323931 -0.8430983641 -0.8430983641 0.0523149138 156 157 158 159 160 -1.4352919522 -0.8430983641 -0.8461664221 -0.8585431284 0.2472775917 161 162 163 164 -0.8943098681 1.1438751859 -0.8446323931 1.2154948995 > postscript(file="/var/wessaorg/rcomp/tmp/6088o1321906567.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 = 164 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.3554257875 NA 1 -0.6225112499 -0.3554257875 2 0.0356473320 -0.6225112499 3 -0.5848808272 0.0356473320 4 3.5556978144 -0.5848808272 5 -1.2085883156 3.5556978144 6 -0.7457962493 -1.2085883156 7 0.0349864078 -0.7457962493 8 -0.3883396196 0.0349864078 9 -0.1645849516 -0.3883396196 10 0.0773779218 -0.1645849516 11 0.5034290917 0.0773779218 12 2.6126924895 0.5034290917 13 3.4968951374 2.6126924895 14 -0.1163587062 3.4968951374 15 -0.2024570480 -0.1163587062 16 -0.5876559138 -0.2024570480 17 -0.3714085592 -0.5876559138 18 -0.3868055906 -0.3714085592 19 -0.4144881157 -0.3868055906 20 0.6488450294 -0.4144881157 21 1.2274605060 0.6488450294 22 -0.2597236148 1.2274605060 23 -1.5923542643 -0.2597236148 24 -0.3810785657 -1.5923542643 25 -0.0572480500 -0.3810785657 26 -0.0243125431 -0.0572480500 27 -0.3690714282 -0.0243125431 28 -0.6649543242 -0.3690714282 29 -0.1971346583 -0.6649543242 30 -0.4690327723 -0.1971346583 31 1.8697205291 -0.4690327723 32 0.0092538000 1.8697205291 33 -0.0550598939 0.0092538000 34 -0.5033498986 -0.0550598939 35 0.1848104919 -0.5033498986 36 -0.3535520751 0.1848104919 37 -0.4275056875 -0.3535520751 38 0.1353752856 -0.4275056875 39 -0.6847176384 0.1353752856 40 -0.6856374552 -0.6847176384 41 0.5175983271 -0.6856374552 42 0.5500419434 0.5175983271 43 -0.1128432584 0.5500419434 44 5.4568730536 -0.1128432584 45 -0.6143606572 5.4568730536 46 4.1207602765 -0.6143606572 47 0.0908529128 4.1207602765 48 -0.0985483390 0.0908529128 49 0.9133280636 -0.0985483390 50 -2.9505925238 0.9133280636 51 0.0428027606 -2.9505925238 52 0.5556089430 0.0428027606 53 -0.0180242199 0.5556089430 54 -0.2828946704 -0.0180242199 55 -0.4911321965 -0.2828946704 56 -0.3109784684 -0.4911321965 57 -0.6719051877 -0.3109784684 58 1.0802009439 -0.6719051877 59 -0.2394132849 1.0802009439 60 -0.3451810911 -0.2394132849 61 0.1636854145 -0.3451810911 62 -1.1825892595 0.1636854145 63 -0.3661639906 -1.1825892595 64 -0.5215015653 -0.3661639906 65 -0.8218058692 -0.5215015653 66 -0.6797443664 -0.8218058692 67 0.6239031195 -0.6797443664 68 -0.5465862481 0.6239031195 69 -0.5874453492 -0.5465862481 70 -0.2458345543 -0.5874453492 71 -0.3235586797 -0.2458345543 72 -0.2658814057 -0.3235586797 73 -0.5315772281 -0.2658814057 74 -0.4288891254 -0.5315772281 75 -0.3711356465 -0.4288891254 76 -0.5547765530 -0.3711356465 77 -0.2050861294 -0.5547765530 78 -0.4012282752 -0.2050861294 79 -0.2527376848 -0.4012282752 80 -0.5894151226 -0.2527376848 81 -0.6132824313 -0.5894151226 82 -0.2293376221 -0.6132824313 83 11.9254252626 -0.2293376221 84 -0.1184457504 11.9254252626 85 -0.1596132957 -0.1184457504 86 -0.1582499165 -0.1596132957 87 -0.7183439550 -0.1582499165 88 3.8872213010 -0.7183439550 89 -0.3109184949 3.8872213010 90 0.2446681039 -0.3109184949 91 -0.3103503995 0.2446681039 92 0.0868688653 -0.3103503995 93 -0.5771445066 0.0868688653 94 -0.6061687361 -0.5771445066 95 -0.4214740456 -0.6061687361 96 1.8450649961 -0.4214740456 97 -0.6142746256 1.8450649961 98 0.3184693065 -0.6142746256 99 -0.4296659667 0.3184693065 100 -0.1824186098 -0.4296659667 101 -0.1202220481 -0.1824186098 102 -0.4510741887 -0.1202220481 103 0.0007536971 -0.4510741887 104 -0.5923025015 0.0007536971 105 -0.2343271255 -0.5923025015 106 -0.2341486576 -0.2343271255 107 -0.6161399247 -0.2341486576 108 -1.0836483791 -0.6161399247 109 -1.2297450971 -1.0836483791 110 -0.5634988659 -1.2297450971 111 0.6841098492 -0.5634988659 112 0.1144024154 0.6841098492 113 -0.2544323342 0.1144024154 114 1.8922262772 -0.2544323342 115 0.2730759100 1.8922262772 116 -0.6912616220 0.2730759100 117 -0.8901996716 -0.6912616220 118 0.5819453412 -0.8901996716 119 0.7253834849 0.5819453412 120 -0.1161679978 0.7253834849 121 0.6318461774 -0.1161679978 122 -0.4223834405 0.6318461774 123 0.9370048664 -0.4223834405 124 0.1930924745 0.9370048664 125 -0.1382030651 0.1930924745 126 -0.2714711011 -0.1382030651 127 0.0836646289 -0.2714711011 128 -0.5721566194 0.0836646289 129 -0.5507080900 -0.5721566194 130 -0.1706781831 -0.5507080900 131 -0.1995846768 -0.1706781831 132 -0.3359353861 -0.1995846768 133 -0.7216566564 -0.3359353861 134 -0.1334135019 -0.7216566564 135 -0.2845632616 -0.1334135019 136 0.2257941259 -0.2845632616 137 0.8010499867 0.2257941259 138 0.1637215021 0.8010499867 139 0.7237116614 0.1637215021 140 -1.2404515961 0.7237116614 141 -0.6728049458 -1.2404515961 142 -0.2958332701 -0.6728049458 143 -0.2825088702 -0.2958332701 144 -0.2383266458 -0.2825088702 145 0.4661299391 -0.2383266458 146 0.2345924411 0.4661299391 147 -0.4498090816 0.2345924411 148 -0.8430983641 -0.4498090816 149 -0.8739878927 -0.8430983641 150 -0.8438653786 -0.8739878927 151 -0.8446323931 -0.8438653786 152 -0.8430983641 -0.8446323931 153 -0.8430983641 -0.8430983641 154 0.0523149138 -0.8430983641 155 -1.4352919522 0.0523149138 156 -0.8430983641 -1.4352919522 157 -0.8461664221 -0.8430983641 158 -0.8585431284 -0.8461664221 159 0.2472775917 -0.8585431284 160 -0.8943098681 0.2472775917 161 1.1438751859 -0.8943098681 162 -0.8446323931 1.1438751859 163 1.2154948995 -0.8446323931 164 NA 1.2154948995 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -0.6225112499 -0.3554257875 [2,] 0.0356473320 -0.6225112499 [3,] -0.5848808272 0.0356473320 [4,] 3.5556978144 -0.5848808272 [5,] -1.2085883156 3.5556978144 [6,] -0.7457962493 -1.2085883156 [7,] 0.0349864078 -0.7457962493 [8,] -0.3883396196 0.0349864078 [9,] -0.1645849516 -0.3883396196 [10,] 0.0773779218 -0.1645849516 [11,] 0.5034290917 0.0773779218 [12,] 2.6126924895 0.5034290917 [13,] 3.4968951374 2.6126924895 [14,] -0.1163587062 3.4968951374 [15,] -0.2024570480 -0.1163587062 [16,] -0.5876559138 -0.2024570480 [17,] -0.3714085592 -0.5876559138 [18,] -0.3868055906 -0.3714085592 [19,] -0.4144881157 -0.3868055906 [20,] 0.6488450294 -0.4144881157 [21,] 1.2274605060 0.6488450294 [22,] -0.2597236148 1.2274605060 [23,] -1.5923542643 -0.2597236148 [24,] -0.3810785657 -1.5923542643 [25,] -0.0572480500 -0.3810785657 [26,] -0.0243125431 -0.0572480500 [27,] -0.3690714282 -0.0243125431 [28,] -0.6649543242 -0.3690714282 [29,] -0.1971346583 -0.6649543242 [30,] -0.4690327723 -0.1971346583 [31,] 1.8697205291 -0.4690327723 [32,] 0.0092538000 1.8697205291 [33,] -0.0550598939 0.0092538000 [34,] -0.5033498986 -0.0550598939 [35,] 0.1848104919 -0.5033498986 [36,] -0.3535520751 0.1848104919 [37,] -0.4275056875 -0.3535520751 [38,] 0.1353752856 -0.4275056875 [39,] -0.6847176384 0.1353752856 [40,] -0.6856374552 -0.6847176384 [41,] 0.5175983271 -0.6856374552 [42,] 0.5500419434 0.5175983271 [43,] -0.1128432584 0.5500419434 [44,] 5.4568730536 -0.1128432584 [45,] -0.6143606572 5.4568730536 [46,] 4.1207602765 -0.6143606572 [47,] 0.0908529128 4.1207602765 [48,] -0.0985483390 0.0908529128 [49,] 0.9133280636 -0.0985483390 [50,] -2.9505925238 0.9133280636 [51,] 0.0428027606 -2.9505925238 [52,] 0.5556089430 0.0428027606 [53,] -0.0180242199 0.5556089430 [54,] -0.2828946704 -0.0180242199 [55,] -0.4911321965 -0.2828946704 [56,] -0.3109784684 -0.4911321965 [57,] -0.6719051877 -0.3109784684 [58,] 1.0802009439 -0.6719051877 [59,] -0.2394132849 1.0802009439 [60,] -0.3451810911 -0.2394132849 [61,] 0.1636854145 -0.3451810911 [62,] -1.1825892595 0.1636854145 [63,] -0.3661639906 -1.1825892595 [64,] -0.5215015653 -0.3661639906 [65,] -0.8218058692 -0.5215015653 [66,] -0.6797443664 -0.8218058692 [67,] 0.6239031195 -0.6797443664 [68,] -0.5465862481 0.6239031195 [69,] -0.5874453492 -0.5465862481 [70,] -0.2458345543 -0.5874453492 [71,] -0.3235586797 -0.2458345543 [72,] -0.2658814057 -0.3235586797 [73,] -0.5315772281 -0.2658814057 [74,] -0.4288891254 -0.5315772281 [75,] -0.3711356465 -0.4288891254 [76,] -0.5547765530 -0.3711356465 [77,] -0.2050861294 -0.5547765530 [78,] -0.4012282752 -0.2050861294 [79,] -0.2527376848 -0.4012282752 [80,] -0.5894151226 -0.2527376848 [81,] -0.6132824313 -0.5894151226 [82,] -0.2293376221 -0.6132824313 [83,] 11.9254252626 -0.2293376221 [84,] -0.1184457504 11.9254252626 [85,] -0.1596132957 -0.1184457504 [86,] -0.1582499165 -0.1596132957 [87,] -0.7183439550 -0.1582499165 [88,] 3.8872213010 -0.7183439550 [89,] -0.3109184949 3.8872213010 [90,] 0.2446681039 -0.3109184949 [91,] -0.3103503995 0.2446681039 [92,] 0.0868688653 -0.3103503995 [93,] -0.5771445066 0.0868688653 [94,] -0.6061687361 -0.5771445066 [95,] -0.4214740456 -0.6061687361 [96,] 1.8450649961 -0.4214740456 [97,] -0.6142746256 1.8450649961 [98,] 0.3184693065 -0.6142746256 [99,] -0.4296659667 0.3184693065 [100,] -0.1824186098 -0.4296659667 [101,] -0.1202220481 -0.1824186098 [102,] -0.4510741887 -0.1202220481 [103,] 0.0007536971 -0.4510741887 [104,] -0.5923025015 0.0007536971 [105,] -0.2343271255 -0.5923025015 [106,] -0.2341486576 -0.2343271255 [107,] -0.6161399247 -0.2341486576 [108,] -1.0836483791 -0.6161399247 [109,] -1.2297450971 -1.0836483791 [110,] -0.5634988659 -1.2297450971 [111,] 0.6841098492 -0.5634988659 [112,] 0.1144024154 0.6841098492 [113,] -0.2544323342 0.1144024154 [114,] 1.8922262772 -0.2544323342 [115,] 0.2730759100 1.8922262772 [116,] -0.6912616220 0.2730759100 [117,] -0.8901996716 -0.6912616220 [118,] 0.5819453412 -0.8901996716 [119,] 0.7253834849 0.5819453412 [120,] -0.1161679978 0.7253834849 [121,] 0.6318461774 -0.1161679978 [122,] -0.4223834405 0.6318461774 [123,] 0.9370048664 -0.4223834405 [124,] 0.1930924745 0.9370048664 [125,] -0.1382030651 0.1930924745 [126,] -0.2714711011 -0.1382030651 [127,] 0.0836646289 -0.2714711011 [128,] -0.5721566194 0.0836646289 [129,] -0.5507080900 -0.5721566194 [130,] -0.1706781831 -0.5507080900 [131,] -0.1995846768 -0.1706781831 [132,] -0.3359353861 -0.1995846768 [133,] -0.7216566564 -0.3359353861 [134,] -0.1334135019 -0.7216566564 [135,] -0.2845632616 -0.1334135019 [136,] 0.2257941259 -0.2845632616 [137,] 0.8010499867 0.2257941259 [138,] 0.1637215021 0.8010499867 [139,] 0.7237116614 0.1637215021 [140,] -1.2404515961 0.7237116614 [141,] -0.6728049458 -1.2404515961 [142,] -0.2958332701 -0.6728049458 [143,] -0.2825088702 -0.2958332701 [144,] -0.2383266458 -0.2825088702 [145,] 0.4661299391 -0.2383266458 [146,] 0.2345924411 0.4661299391 [147,] -0.4498090816 0.2345924411 [148,] -0.8430983641 -0.4498090816 [149,] -0.8739878927 -0.8430983641 [150,] -0.8438653786 -0.8739878927 [151,] -0.8446323931 -0.8438653786 [152,] -0.8430983641 -0.8446323931 [153,] -0.8430983641 -0.8430983641 [154,] 0.0523149138 -0.8430983641 [155,] -1.4352919522 0.0523149138 [156,] -0.8430983641 -1.4352919522 [157,] -0.8461664221 -0.8430983641 [158,] -0.8585431284 -0.8461664221 [159,] 0.2472775917 -0.8585431284 [160,] -0.8943098681 0.2472775917 [161,] 1.1438751859 -0.8943098681 [162,] -0.8446323931 1.1438751859 [163,] 1.2154948995 -0.8446323931 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -0.6225112499 -0.3554257875 2 0.0356473320 -0.6225112499 3 -0.5848808272 0.0356473320 4 3.5556978144 -0.5848808272 5 -1.2085883156 3.5556978144 6 -0.7457962493 -1.2085883156 7 0.0349864078 -0.7457962493 8 -0.3883396196 0.0349864078 9 -0.1645849516 -0.3883396196 10 0.0773779218 -0.1645849516 11 0.5034290917 0.0773779218 12 2.6126924895 0.5034290917 13 3.4968951374 2.6126924895 14 -0.1163587062 3.4968951374 15 -0.2024570480 -0.1163587062 16 -0.5876559138 -0.2024570480 17 -0.3714085592 -0.5876559138 18 -0.3868055906 -0.3714085592 19 -0.4144881157 -0.3868055906 20 0.6488450294 -0.4144881157 21 1.2274605060 0.6488450294 22 -0.2597236148 1.2274605060 23 -1.5923542643 -0.2597236148 24 -0.3810785657 -1.5923542643 25 -0.0572480500 -0.3810785657 26 -0.0243125431 -0.0572480500 27 -0.3690714282 -0.0243125431 28 -0.6649543242 -0.3690714282 29 -0.1971346583 -0.6649543242 30 -0.4690327723 -0.1971346583 31 1.8697205291 -0.4690327723 32 0.0092538000 1.8697205291 33 -0.0550598939 0.0092538000 34 -0.5033498986 -0.0550598939 35 0.1848104919 -0.5033498986 36 -0.3535520751 0.1848104919 37 -0.4275056875 -0.3535520751 38 0.1353752856 -0.4275056875 39 -0.6847176384 0.1353752856 40 -0.6856374552 -0.6847176384 41 0.5175983271 -0.6856374552 42 0.5500419434 0.5175983271 43 -0.1128432584 0.5500419434 44 5.4568730536 -0.1128432584 45 -0.6143606572 5.4568730536 46 4.1207602765 -0.6143606572 47 0.0908529128 4.1207602765 48 -0.0985483390 0.0908529128 49 0.9133280636 -0.0985483390 50 -2.9505925238 0.9133280636 51 0.0428027606 -2.9505925238 52 0.5556089430 0.0428027606 53 -0.0180242199 0.5556089430 54 -0.2828946704 -0.0180242199 55 -0.4911321965 -0.2828946704 56 -0.3109784684 -0.4911321965 57 -0.6719051877 -0.3109784684 58 1.0802009439 -0.6719051877 59 -0.2394132849 1.0802009439 60 -0.3451810911 -0.2394132849 61 0.1636854145 -0.3451810911 62 -1.1825892595 0.1636854145 63 -0.3661639906 -1.1825892595 64 -0.5215015653 -0.3661639906 65 -0.8218058692 -0.5215015653 66 -0.6797443664 -0.8218058692 67 0.6239031195 -0.6797443664 68 -0.5465862481 0.6239031195 69 -0.5874453492 -0.5465862481 70 -0.2458345543 -0.5874453492 71 -0.3235586797 -0.2458345543 72 -0.2658814057 -0.3235586797 73 -0.5315772281 -0.2658814057 74 -0.4288891254 -0.5315772281 75 -0.3711356465 -0.4288891254 76 -0.5547765530 -0.3711356465 77 -0.2050861294 -0.5547765530 78 -0.4012282752 -0.2050861294 79 -0.2527376848 -0.4012282752 80 -0.5894151226 -0.2527376848 81 -0.6132824313 -0.5894151226 82 -0.2293376221 -0.6132824313 83 11.9254252626 -0.2293376221 84 -0.1184457504 11.9254252626 85 -0.1596132957 -0.1184457504 86 -0.1582499165 -0.1596132957 87 -0.7183439550 -0.1582499165 88 3.8872213010 -0.7183439550 89 -0.3109184949 3.8872213010 90 0.2446681039 -0.3109184949 91 -0.3103503995 0.2446681039 92 0.0868688653 -0.3103503995 93 -0.5771445066 0.0868688653 94 -0.6061687361 -0.5771445066 95 -0.4214740456 -0.6061687361 96 1.8450649961 -0.4214740456 97 -0.6142746256 1.8450649961 98 0.3184693065 -0.6142746256 99 -0.4296659667 0.3184693065 100 -0.1824186098 -0.4296659667 101 -0.1202220481 -0.1824186098 102 -0.4510741887 -0.1202220481 103 0.0007536971 -0.4510741887 104 -0.5923025015 0.0007536971 105 -0.2343271255 -0.5923025015 106 -0.2341486576 -0.2343271255 107 -0.6161399247 -0.2341486576 108 -1.0836483791 -0.6161399247 109 -1.2297450971 -1.0836483791 110 -0.5634988659 -1.2297450971 111 0.6841098492 -0.5634988659 112 0.1144024154 0.6841098492 113 -0.2544323342 0.1144024154 114 1.8922262772 -0.2544323342 115 0.2730759100 1.8922262772 116 -0.6912616220 0.2730759100 117 -0.8901996716 -0.6912616220 118 0.5819453412 -0.8901996716 119 0.7253834849 0.5819453412 120 -0.1161679978 0.7253834849 121 0.6318461774 -0.1161679978 122 -0.4223834405 0.6318461774 123 0.9370048664 -0.4223834405 124 0.1930924745 0.9370048664 125 -0.1382030651 0.1930924745 126 -0.2714711011 -0.1382030651 127 0.0836646289 -0.2714711011 128 -0.5721566194 0.0836646289 129 -0.5507080900 -0.5721566194 130 -0.1706781831 -0.5507080900 131 -0.1995846768 -0.1706781831 132 -0.3359353861 -0.1995846768 133 -0.7216566564 -0.3359353861 134 -0.1334135019 -0.7216566564 135 -0.2845632616 -0.1334135019 136 0.2257941259 -0.2845632616 137 0.8010499867 0.2257941259 138 0.1637215021 0.8010499867 139 0.7237116614 0.1637215021 140 -1.2404515961 0.7237116614 141 -0.6728049458 -1.2404515961 142 -0.2958332701 -0.6728049458 143 -0.2825088702 -0.2958332701 144 -0.2383266458 -0.2825088702 145 0.4661299391 -0.2383266458 146 0.2345924411 0.4661299391 147 -0.4498090816 0.2345924411 148 -0.8430983641 -0.4498090816 149 -0.8739878927 -0.8430983641 150 -0.8438653786 -0.8739878927 151 -0.8446323931 -0.8438653786 152 -0.8430983641 -0.8446323931 153 -0.8430983641 -0.8430983641 154 0.0523149138 -0.8430983641 155 -1.4352919522 0.0523149138 156 -0.8430983641 -1.4352919522 157 -0.8461664221 -0.8430983641 158 -0.8585431284 -0.8461664221 159 0.2472775917 -0.8585431284 160 -0.8943098681 0.2472775917 161 1.1438751859 -0.8943098681 162 -0.8446323931 1.1438751859 163 1.2154948995 -0.8446323931 > 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/wessaorg/rcomp/tmp/7mlbn1321906567.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/wessaorg/rcomp/tmp/8pzup1321906567.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/wessaorg/rcomp/tmp/97ltr1321906567.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/wessaorg/rcomp/tmp/103pap1321906567.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11xe2r1321906567.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12s7091321906567.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/133ca31321906567.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14kjs71321906567.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/wessaorg/rcomp/tmp/1553vu1321906567.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/wessaorg/rcomp/tmp/162pja1321906567.tab") + } > > try(system("convert tmp/1z8r31321906567.ps tmp/1z8r31321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/2jhwj1321906567.ps tmp/2jhwj1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/3l83d1321906567.ps tmp/3l83d1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/4ue491321906567.ps tmp/4ue491321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/5gwc11321906567.ps tmp/5gwc11321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/6088o1321906567.ps tmp/6088o1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/7mlbn1321906567.ps tmp/7mlbn1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/8pzup1321906567.ps tmp/8pzup1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/97ltr1321906567.ps tmp/97ltr1321906567.png",intern=TRUE)) character(0) > try(system("convert tmp/103pap1321906567.ps tmp/103pap1321906567.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 4.675 0.523 5.238