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Type 'q()' to quit R. > x <- array(list(47 + ,46 + ,84 + ,26 + ,24 + ,48 + ,72 + ,20 + ,31 + ,37 + ,37 + ,24 + ,42 + ,75 + ,85 + ,25 + ,24 + ,31 + ,30 + ,15 + ,10 + ,18 + ,53 + ,16 + ,85 + ,79 + ,74 + ,20 + ,9 + ,16 + ,22 + ,18 + ,32 + ,38 + ,68 + ,19 + ,36 + ,24 + ,47 + ,20 + ,45 + ,65 + ,102 + ,30 + ,36 + ,74 + ,123 + ,37 + ,28 + ,43 + ,69 + ,23 + ,54 + ,42 + ,108 + ,36 + ,39 + ,55 + ,59 + ,29 + ,70 + ,121 + ,122 + ,35 + ,50 + ,42 + ,91 + ,24 + ,55 + ,102 + ,45 + ,22 + ,32 + ,36 + ,53 + ,19 + ,44 + ,50 + ,112 + ,30 + ,46 + ,48 + ,82 + ,27 + ,80 + ,56 + ,92 + ,26 + ,25 + ,19 + ,51 + ,15 + ,30 + ,32 + ,120 + ,30 + ,41 + ,77 + ,99 + ,28 + ,40 + ,90 + ,86 + ,24 + ,45 + ,81 + ,59 + ,21 + ,45 + ,55 + ,98 + ,27 + ,30 + ,34 + ,71 + ,21 + ,52 + ,38 + ,100 + ,30 + ,53 + ,53 + ,113 + ,30 + ,36 + ,48 + ,92 + ,33 + ,57 + ,63 + ,107 + ,30 + ,17 + ,25 + ,75 + ,20 + ,68 + ,56 + ,100 + ,27 + ,46 + ,37 + ,69 + ,25 + ,73 + ,83 + ,106 + ,30 + ,34 + ,50 + ,51 + ,20 + ,22 + ,26 + ,18 + ,8 + ,58 + ,108 + ,91 + ,24 + ,62 + ,55 + ,75 + ,25 + ,32 + ,41 + ,63 + ,25 + ,38 + ,49 + ,72 + ,21 + ,23 + ,31 + ,59 + ,21 + ,26 + ,49 + ,29 + ,21 + ,85 + ,96 + ,85 + ,26 + ,22 + ,42 + ,66 + ,26 + ,44 + ,55 + ,106 + ,30 + ,62 + ,70 + ,113 + ,34 + ,36 + ,39 + ,101 + ,30 + ,36 + ,53 + ,65 + ,18 + ,7 + ,24 + ,7 + ,4 + ,72 + ,209 + ,111 + ,31 + ,18 + ,17 + ,61 + ,18 + ,27 + ,58 + ,41 + ,14 + ,48 + ,27 + ,70 + ,20 + ,50 + ,58 + ,136 + ,36 + ,55 + ,114 + ,87 + ,24 + ,59 + ,75 + ,90 + ,26 + ,39 + ,51 + ,76 + ,22 + ,68 + ,86 + ,101 + ,31 + ,57 + ,77 + ,57 + ,21 + ,40 + ,62 + ,61 + ,31 + ,47 + ,60 + ,92 + ,26 + ,39 + ,39 + ,80 + ,24 + ,32 + ,35 + ,35 + ,15 + ,32 + ,86 + ,72 + ,19 + ,40 + ,102 + ,88 + ,28 + ,42 + ,49 + ,80 + ,24 + ,26 + ,35 + ,62 + ,18 + ,33 + ,33 + ,81 + ,25 + ,19 + ,28 + ,63 + ,20 + ,35 + ,44 + ,91 + ,25 + ,41 + ,37 + ,65 + ,24 + ,27 + ,33 + ,79 + ,23 + ,53 + ,45 + ,85 + ,25 + ,55 + ,57 + ,75 + ,20 + ,29 + ,58 + ,70 + ,23 + ,25 + ,36 + ,78 + ,22 + ,33 + ,42 + ,75 + ,25 + ,27 + ,30 + ,55 + ,18 + ,76 + ,67 + ,80 + ,30 + ,37 + ,53 + ,83 + ,22 + ,38 + ,59 + ,38 + ,25 + ,22 + ,25 + ,27 + ,8 + ,30 + ,39 + ,62 + ,21 + ,27 + ,36 + ,82 + ,22 + ,63 + ,114 + ,88 + ,24 + ,48 + ,54 + ,59 + ,30 + ,33 + ,70 + ,92 + ,27 + ,37 + ,51 + ,40 + ,24 + ,42 + ,49 + ,91 + ,25 + ,31 + ,42 + ,63 + ,21 + ,47 + ,51 + ,88 + ,24 + ,52 + ,51 + ,85 + ,24 + ,36 + ,27 + ,76 + ,20 + ,40 + ,29 + ,67 + ,20 + ,53 + ,54 + ,69 + ,24 + ,56 + ,92 + ,150 + ,40 + ,69 + ,72 + ,77 + ,22 + ,43 + ,63 + ,103 + ,31 + ,51 + ,41 + ,81 + ,26 + ,30 + ,111 + ,37 + ,20 + ,12 + ,14 + ,64 + ,19 + ,35 + ,45 + ,22 + ,15 + ,36 + ,91 + ,35 + ,21 + ,41 + ,29 + ,61 + ,22 + ,52 + ,64 + ,80 + ,24 + ,21 + ,32 + ,54 + ,19 + ,26 + ,65 + ,76 + ,24 + ,49 + ,42 + ,87 + ,23 + ,39 + ,55 + ,75 + ,27 + ,6 + ,10 + ,0 + ,1 + ,35 + ,53 + ,61 + ,24 + ,17 + ,25 + ,30 + ,11 + ,25 + ,33 + ,66 + ,27 + ,71 + ,66 + ,56 + ,22 + ,6 + ,16 + ,0 + ,0 + ,47 + ,35 + ,32 + ,17 + ,9 + ,19 + ,9 + ,8 + ,52 + ,76 + ,82 + ,24 + ,38 + ,35 + ,110 + ,31 + ,21 + ,46 + ,71 + ,24 + ,21 + ,29 + ,50 + ,20 + ,11 + ,34 + ,21 + ,8 + ,25 + ,25 + ,78 + ,22 + ,54 + ,48 + ,118 + ,33 + ,38 + ,38 + ,102 + ,33 + ,68 + ,50 + ,109 + ,31 + ,56 + ,65 + ,104 + ,33 + ,71 + ,72 + ,124 + ,35 + ,39 + ,23 + ,76 + ,21 + ,21 + ,29 + ,57 + ,20 + ,53 + ,194 + ,91 + ,24 + ,78 + ,114 + ,101 + ,29 + ,14 + ,15 + ,66 + ,20 + ,70 + ,86 + ,98 + ,27 + ,29 + ,50 + ,63 + ,24 + ,47 + ,33 + ,85 + ,26 + ,36 + ,50 + ,74 + ,26 + ,21 + ,72 + ,19 + ,12 + ,69 + ,81 + ,57 + ,21 + ,42 + ,54 + ,74 + ,24 + ,48 + ,63 + ,78 + ,21 + ,55 + ,69 + ,91 + ,30 + ,19 + ,39 + ,112 + ,32 + ,39 + ,49 + ,79 + ,24 + ,51 + ,67 + ,100 + ,29 + ,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 + ,48 + ,20 + ,51 + ,72 + ,55 + ,27 + ,0 + ,0 + ,0 + ,0 + ,0 + ,4 + ,0 + ,0 + ,2 + ,5 + ,0 + ,0 + ,13 + ,20 + ,13 + ,5 + ,5 + ,5 + ,4 + ,1 + ,20 + ,27 + ,31 + ,23 + ,0 + ,2 + ,0 + ,0 + ,29 + ,33 + ,29 + ,16) + ,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 84 47 46 26 2 72 24 48 20 3 37 31 37 24 4 85 42 75 25 5 30 24 31 15 6 53 10 18 16 7 74 85 79 20 8 22 9 16 18 9 68 32 38 19 10 47 36 24 20 11 102 45 65 30 12 123 36 74 37 13 69 28 43 23 14 108 54 42 36 15 59 39 55 29 16 122 70 121 35 17 91 50 42 24 18 45 55 102 22 19 53 32 36 19 20 112 44 50 30 21 82 46 48 27 22 92 80 56 26 23 51 25 19 15 24 120 30 32 30 25 99 41 77 28 26 86 40 90 24 27 59 45 81 21 28 98 45 55 27 29 71 30 34 21 30 100 52 38 30 31 113 53 53 30 32 92 36 48 33 33 107 57 63 30 34 75 17 25 20 35 100 68 56 27 36 69 46 37 25 37 106 73 83 30 38 51 34 50 20 39 18 22 26 8 40 91 58 108 24 41 75 62 55 25 42 63 32 41 25 43 72 38 49 21 44 59 23 31 21 45 29 26 49 21 46 85 85 96 26 47 66 22 42 26 48 106 44 55 30 49 113 62 70 34 50 101 36 39 30 51 65 36 53 18 52 7 7 24 4 53 111 72 209 31 54 61 18 17 18 55 41 27 58 14 56 70 48 27 20 57 136 50 58 36 58 87 55 114 24 59 90 59 75 26 60 76 39 51 22 61 101 68 86 31 62 57 57 77 21 63 61 40 62 31 64 92 47 60 26 65 80 39 39 24 66 35 32 35 15 67 72 32 86 19 68 88 40 102 28 69 80 42 49 24 70 62 26 35 18 71 81 33 33 25 72 63 19 28 20 73 91 35 44 25 74 65 41 37 24 75 79 27 33 23 76 85 53 45 25 77 75 55 57 20 78 70 29 58 23 79 78 25 36 22 80 75 33 42 25 81 55 27 30 18 82 80 76 67 30 83 83 37 53 22 84 38 38 59 25 85 27 22 25 8 86 62 30 39 21 87 82 27 36 22 88 88 63 114 24 89 59 48 54 30 90 92 33 70 27 91 40 37 51 24 92 91 42 49 25 93 63 31 42 21 94 88 47 51 24 95 85 52 51 24 96 76 36 27 20 97 67 40 29 20 98 69 53 54 24 99 150 56 92 40 100 77 69 72 22 101 103 43 63 31 102 81 51 41 26 103 37 30 111 20 104 64 12 14 19 105 22 35 45 15 106 35 36 91 21 107 61 41 29 22 108 80 52 64 24 109 54 21 32 19 110 76 26 65 24 111 87 49 42 23 112 75 39 55 27 113 0 6 10 1 114 61 35 53 24 115 30 17 25 11 116 66 25 33 27 117 56 71 66 22 118 0 6 16 0 119 32 47 35 17 120 9 9 19 8 121 82 52 76 24 122 110 38 35 31 123 71 21 46 24 124 50 21 29 20 125 21 11 34 8 126 78 25 25 22 127 118 54 48 33 128 102 38 38 33 129 109 68 50 31 130 104 56 65 33 131 124 71 72 35 132 76 39 23 21 133 57 21 29 20 134 91 53 194 24 135 101 78 114 29 136 66 14 15 20 137 98 70 86 27 138 63 29 50 24 139 85 47 33 26 140 74 36 50 26 141 19 21 72 12 142 57 69 81 21 143 74 42 54 24 144 78 48 63 21 145 91 55 69 30 146 112 19 39 32 147 79 39 49 24 148 100 51 67 29 149 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 48 38 58 20 156 55 51 72 27 157 0 0 0 0 158 0 0 4 0 159 0 2 5 0 160 13 13 20 5 161 4 5 5 1 162 31 20 27 23 163 0 0 2 0 164 29 29 33 16 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Y X1 X3 -6.96454 0.19933 -0.01597 3.12165 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -39.709 -7.327 4.038 8.833 27.846 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -6.96454 2.87391 -2.423 0.0165 * Y 0.19933 0.09244 2.156 0.0326 * X1 -0.01597 0.04845 -0.330 0.7421 X3 3.12165 0.17618 17.719 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 13.54 on 160 degrees of freedom Multiple R-squared: 0.8315, Adjusted R-squared: 0.8283 F-statistic: 263.2 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,] 0.9325361 1.349277e-01 6.746387e-02 [2,] 0.9299147 1.401707e-01 7.008533e-02 [3,] 0.9284115 1.431769e-01 7.158846e-02 [4,] 0.8856086 2.287828e-01 1.143914e-01 [5,] 0.8508953 2.982094e-01 1.491047e-01 [6,] 0.7874806 4.250387e-01 2.125194e-01 [7,] 0.7108217 5.783566e-01 2.891783e-01 [8,] 0.6638505 6.722990e-01 3.361495e-01 [9,] 0.8737026 2.525948e-01 1.262974e-01 [10,] 0.8513014 2.973972e-01 1.486986e-01 [11,] 0.8906854 2.186291e-01 1.093146e-01 [12,] 0.9674530 6.509396e-02 3.254698e-02 [13,] 0.9522586 9.548271e-02 4.774135e-02 [14,] 0.9621090 7.578194e-02 3.789097e-02 [15,] 0.9458262 1.083476e-01 5.417381e-02 [16,] 0.9245354 1.509293e-01 7.546464e-02 [17,] 0.9181368 1.637264e-01 8.186318e-02 [18,] 0.9648221 7.035577e-02 3.517788e-02 [19,] 0.9606478 7.870435e-02 3.935218e-02 [20,] 0.9568528 8.629439e-02 4.314719e-02 [21,] 0.9434526 1.130948e-01 5.654741e-02 [22,] 0.9371546 1.256908e-01 6.284538e-02 [23,] 0.9243838 1.512324e-01 7.561621e-02 [24,] 0.9013350 1.973301e-01 9.866503e-02 [25,] 0.8992771 2.014458e-01 1.007229e-01 [26,] 0.8976056 2.047888e-01 1.023944e-01 [27,] 0.8777972 2.444055e-01 1.222028e-01 [28,] 0.8957897 2.084205e-01 1.042103e-01 [29,] 0.8770933 2.458134e-01 1.229067e-01 [30,] 0.8680697 2.638606e-01 1.319303e-01 [31,] 0.8391645 3.216710e-01 1.608355e-01 [32,] 0.8188314 3.623372e-01 1.811686e-01 [33,] 0.7841365 4.317270e-01 2.158635e-01 [34,] 0.7751294 4.497413e-01 2.248706e-01 [35,] 0.7502015 4.995969e-01 2.497985e-01 [36,] 0.7489682 5.020635e-01 2.510318e-01 [37,] 0.7182967 5.634067e-01 2.817033e-01 [38,] 0.6742892 6.514216e-01 3.257108e-01 [39,] 0.8467220 3.065560e-01 1.532780e-01 [40,] 0.8239458 3.521084e-01 1.760542e-01 [41,] 0.8122406 3.755187e-01 1.877594e-01 [42,] 0.7964013 4.071973e-01 2.035987e-01 [43,] 0.7611980 4.776039e-01 2.388020e-01 [44,] 0.7311343 5.377314e-01 2.688657e-01 [45,] 0.7199941 5.600117e-01 2.800059e-01 [46,] 0.6921997 6.156007e-01 3.078003e-01 [47,] 0.6634752 6.730496e-01 3.365248e-01 [48,] 0.6458359 7.083282e-01 3.541641e-01 [49,] 0.6009349 7.981303e-01 3.990651e-01 [50,] 0.5629539 8.740923e-01 4.370461e-01 [51,] 0.6097127 7.805747e-01 3.902873e-01 [52,] 0.5857330 8.285340e-01 4.142670e-01 [53,] 0.5449621 9.100757e-01 4.550379e-01 [54,] 0.5125556 9.748888e-01 4.874444e-01 [55,] 0.4720624 9.441249e-01 5.279376e-01 [56,] 0.4596240 9.192481e-01 5.403760e-01 [57,] 0.7382640 5.234721e-01 2.617360e-01 [58,] 0.7174142 5.651716e-01 2.825858e-01 [59,] 0.6826396 6.347208e-01 3.173604e-01 [60,] 0.6596988 6.806023e-01 3.403012e-01 [61,] 0.6722765 6.554471e-01 3.277235e-01 [62,] 0.6312558 7.374885e-01 3.687442e-01 [63,] 0.5922875 8.154251e-01 4.077125e-01 [64,] 0.5679966 8.640068e-01 4.320034e-01 [65,] 0.5263372 9.473255e-01 4.736628e-01 [66,] 0.4868579 9.737158e-01 5.131421e-01 [67,] 0.4875100 9.750200e-01 5.124900e-01 [68,] 0.4688417 9.376834e-01 5.311583e-01 [69,] 0.4461268 8.922537e-01 5.538732e-01 [70,] 0.4057136 8.114271e-01 5.942864e-01 [71,] 0.3859692 7.719384e-01 6.140308e-01 [72,] 0.3433664 6.867327e-01 6.566336e-01 [73,] 0.3356847 6.713694e-01 6.643153e-01 [74,] 0.2961970 5.923940e-01 7.038030e-01 [75,] 0.2585809 5.171617e-01 7.414191e-01 [76,] 0.3138789 6.277578e-01 6.861211e-01 [77,] 0.3234908 6.469817e-01 6.765092e-01 [78,] 0.6485861 7.028278e-01 3.514139e-01 [79,] 0.6140651 7.718698e-01 3.859349e-01 [80,] 0.5704624 8.590753e-01 4.295376e-01 [81,] 0.5852049 8.295901e-01 4.147951e-01 [82,] 0.5682413 8.635175e-01 4.317587e-01 [83,] 0.8067952 3.864096e-01 1.932048e-01 [84,] 0.7916568 4.166864e-01 2.083432e-01 [85,] 0.9245639 1.508723e-01 7.543614e-02 [86,] 0.9223762 1.552475e-01 7.762376e-02 [87,] 0.9041885 1.916230e-01 9.581150e-02 [88,] 0.8998377 2.003245e-01 1.001623e-01 [89,] 0.8861426 2.277149e-01 1.138574e-01 [90,] 0.8879793 2.240414e-01 1.120207e-01 [91,] 0.8667811 2.664377e-01 1.332189e-01 [92,] 0.8495367 3.009265e-01 1.504633e-01 [93,] 0.9027698 1.944603e-01 9.723016e-02 [94,] 0.8838368 2.323264e-01 1.161632e-01 [95,] 0.8671049 2.657901e-01 1.328951e-01 [96,] 0.8404690 3.190619e-01 1.595310e-01 [97,] 0.8771048 2.457904e-01 1.228952e-01 [98,] 0.8655290 2.689419e-01 1.344710e-01 [99,] 0.9118053 1.763895e-01 8.819473e-02 [100,] 0.9647362 7.052764e-02 3.526382e-02 [101,] 0.9576452 8.470957e-02 4.235479e-02 [102,] 0.9463889 1.072222e-01 5.361109e-02 [103,] 0.9317312 1.365376e-01 6.826879e-02 [104,] 0.9157034 1.685931e-01 8.429657e-02 [105,] 0.9202250 1.595500e-01 7.977498e-02 [106,] 0.9084321 1.831358e-01 9.156788e-02 [107,] 0.8880987 2.238026e-01 1.119013e-01 [108,] 0.8857874 2.284252e-01 1.142126e-01 [109,] 0.8594999 2.810002e-01 1.405001e-01 [110,] 0.8724570 2.550860e-01 1.275430e-01 [111,] 0.8892242 2.215516e-01 1.107758e-01 [112,] 0.8680199 2.639602e-01 1.319801e-01 [113,] 0.9196932 1.606137e-01 8.030685e-02 [114,] 0.9159084 1.681832e-01 8.409158e-02 [115,] 0.8959373 2.081255e-01 1.040627e-01 [116,] 0.9001203 1.997594e-01 9.987969e-02 [117,] 0.8738611 2.522779e-01 1.261389e-01 [118,] 0.8583391 2.833217e-01 1.416609e-01 [119,] 0.8257610 3.484781e-01 1.742390e-01 [120,] 0.8200946 3.598108e-01 1.799054e-01 [121,] 0.8250719 3.498562e-01 1.749281e-01 [122,] 0.7881762 4.236476e-01 2.118238e-01 [123,] 0.7649092 4.701817e-01 2.350908e-01 [124,] 0.7191783 5.616435e-01 2.808217e-01 [125,] 0.7218435 5.563130e-01 2.781565e-01 [126,] 0.7262584 5.474831e-01 2.737416e-01 [127,] 0.6731818 6.536363e-01 3.268182e-01 [128,] 0.7218943 5.562113e-01 2.781057e-01 [129,] 0.7305293 5.389413e-01 2.694707e-01 [130,] 0.6935391 6.129218e-01 3.064609e-01 [131,] 0.7300218 5.399563e-01 2.699782e-01 [132,] 0.6811434 6.377133e-01 3.188566e-01 [133,] 0.6212062 7.575875e-01 3.787938e-01 [134,] 0.5569640 8.860719e-01 4.430360e-01 [135,] 0.5530252 8.939497e-01 4.469748e-01 [136,] 0.4925856 9.851713e-01 5.074144e-01 [137,] 0.4324746 8.649492e-01 5.675254e-01 [138,] 0.4947420 9.894840e-01 5.052580e-01 [139,] 0.4769933 9.539867e-01 5.230067e-01 [140,] 0.8596208 2.807585e-01 1.403792e-01 [141,] 0.9135472 1.729057e-01 8.645283e-02 [142,] 1.0000000 8.971109e-09 4.485554e-09 [143,] 1.0000000 5.706891e-08 2.853446e-08 [144,] 1.0000000 3.609289e-08 1.804644e-08 [145,] 0.9999998 3.002920e-07 1.501460e-07 [146,] 0.9999988 2.360785e-06 1.180392e-06 [147,] 0.9999916 1.678139e-05 8.390697e-06 [148,] 0.9999441 1.117283e-04 5.586416e-05 [149,] 0.9999965 7.031927e-06 3.515964e-06 [150,] 0.9999532 9.369713e-05 4.684856e-05 [151,] 0.9993390 1.322035e-03 6.610175e-04 > postscript(file="/var/www/rcomp/tmp/1casr1321904670.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/21y471321904670.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/38am61321904670.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4ok381321904670.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5t6ao1321904670.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 6 1.1679604 12.5143556 -36.5432263 6.7494371 -14.1489318 8.3123951 7 8 9 10 11 12 2.8504057 -28.7635132 9.8816507 -15.2609189 7.3834967 8.4696778 13 14 15 16 17 18 -0.7277609 -7.5076996 -31.4586002 7.6864583 13.7493793 -26.0456608 19 20 21 22 23 24 -5.1502931 17.3432479 -3.7224136 2.7498174 6.4600767 27.8463623 25 26 27 28 29 30 11.6157694 11.5093203 -7.2661317 12.5887187 6.9731278 3.5569523 31 32 33 34 35 36 16.5972012 -10.4590033 9.9596033 16.5423067 10.0201202 -10.6548104 37 38 39 40 41 42 6.0897743 -10.4469921 -3.9786048 13.2088893 -7.5565831 -13.8003149 43 44 45 46 47 48 6.6180726 -3.6794838 -33.9899777 -4.6079537 -11.9126984 11.4231072 49 50 51 52 53 54 2.5881732 7.7621905 9.4455589 0.4659760 10.1799117 8.4584964 55 56 57 58 59 60 -0.1940320 5.3950470 21.5451668 9.9027079 5.2391948 7.3290403 61 62 63 64 65 66 -0.9873112 -11.7219689 -35.7894200 9.3915666 4.8940842 -10.6796775 67 68 69 70 71 72 14.6483002 1.2143952 4.4558155 8.1513568 3.8725810 4.1915640 73 74 75 76 77 78 13.6496133 -10.5365178 9.3118496 4.0776606 9.4788990 0.3124880 79 80 81 82 83 84 11.8800704 -1.9836722 0.8721683 -20.7637630 14.7596424 -39.7087962 85 86 87 88 89 90 5.0054233 -1.9470129 15.4814121 9.3080747 -36.3901812 9.2202464 91 92 93 94 95 96 -34.5155951 12.3341686 -1.0984264 11.4911135 7.4944678 13.7869967 97 98 99 100 101 102 4.0216239 -8.6569458 22.4056479 2.6845752 5.6285644 -2.7092155 103 104 105 106 107 108 -22.6753917 9.4849088 -24.1179463 -29.3124507 -8.4209990 2.7021020 109 110 111 112 113 114 -2.0215599 3.9006316 13.0703553 -9.2153065 2.8066396 -13.0849931 115 116 117 118 119 120 -0.3628716 -15.7760795 -18.8099143 6.0241177 -22.9129084 -10.4991290 121 122 123 124 125 126 4.8937644 13.1779979 -0.4061881 -9.1911224 1.3417907 11.7043798 127 128 129 130 131 132 11.9530721 -1.0173802 6.4377016 -2.1740644 8.7045078 10.0034750 133 134 135 136 137 138 -2.1911224 15.5791154 3.7099033 7.9805755 8.1006179 -9.9369338 139 140 141 142 143 144 1.9603262 -6.5755315 -14.5311573 -14.0500311 -1.4643252 10.8483873 145 146 147 148 149 150 -5.5459072 15.9074922 4.0538029 7.3411125 6.9645427 6.3269448 151 152 153 154 155 156 6.9805146 6.9964864 6.9645427 6.9645427 -14.1165337 -31.3357345 157 158 159 160 161 162 6.9645427 7.0284302 6.6457437 2.0844668 6.9261094 -37.3886776 163 164 6.9964864 -19.2352806 > postscript(file="/var/www/rcomp/tmp/6gqm31321904670.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 1.1679604 NA 1 12.5143556 1.1679604 2 -36.5432263 12.5143556 3 6.7494371 -36.5432263 4 -14.1489318 6.7494371 5 8.3123951 -14.1489318 6 2.8504057 8.3123951 7 -28.7635132 2.8504057 8 9.8816507 -28.7635132 9 -15.2609189 9.8816507 10 7.3834967 -15.2609189 11 8.4696778 7.3834967 12 -0.7277609 8.4696778 13 -7.5076996 -0.7277609 14 -31.4586002 -7.5076996 15 7.6864583 -31.4586002 16 13.7493793 7.6864583 17 -26.0456608 13.7493793 18 -5.1502931 -26.0456608 19 17.3432479 -5.1502931 20 -3.7224136 17.3432479 21 2.7498174 -3.7224136 22 6.4600767 2.7498174 23 27.8463623 6.4600767 24 11.6157694 27.8463623 25 11.5093203 11.6157694 26 -7.2661317 11.5093203 27 12.5887187 -7.2661317 28 6.9731278 12.5887187 29 3.5569523 6.9731278 30 16.5972012 3.5569523 31 -10.4590033 16.5972012 32 9.9596033 -10.4590033 33 16.5423067 9.9596033 34 10.0201202 16.5423067 35 -10.6548104 10.0201202 36 6.0897743 -10.6548104 37 -10.4469921 6.0897743 38 -3.9786048 -10.4469921 39 13.2088893 -3.9786048 40 -7.5565831 13.2088893 41 -13.8003149 -7.5565831 42 6.6180726 -13.8003149 43 -3.6794838 6.6180726 44 -33.9899777 -3.6794838 45 -4.6079537 -33.9899777 46 -11.9126984 -4.6079537 47 11.4231072 -11.9126984 48 2.5881732 11.4231072 49 7.7621905 2.5881732 50 9.4455589 7.7621905 51 0.4659760 9.4455589 52 10.1799117 0.4659760 53 8.4584964 10.1799117 54 -0.1940320 8.4584964 55 5.3950470 -0.1940320 56 21.5451668 5.3950470 57 9.9027079 21.5451668 58 5.2391948 9.9027079 59 7.3290403 5.2391948 60 -0.9873112 7.3290403 61 -11.7219689 -0.9873112 62 -35.7894200 -11.7219689 63 9.3915666 -35.7894200 64 4.8940842 9.3915666 65 -10.6796775 4.8940842 66 14.6483002 -10.6796775 67 1.2143952 14.6483002 68 4.4558155 1.2143952 69 8.1513568 4.4558155 70 3.8725810 8.1513568 71 4.1915640 3.8725810 72 13.6496133 4.1915640 73 -10.5365178 13.6496133 74 9.3118496 -10.5365178 75 4.0776606 9.3118496 76 9.4788990 4.0776606 77 0.3124880 9.4788990 78 11.8800704 0.3124880 79 -1.9836722 11.8800704 80 0.8721683 -1.9836722 81 -20.7637630 0.8721683 82 14.7596424 -20.7637630 83 -39.7087962 14.7596424 84 5.0054233 -39.7087962 85 -1.9470129 5.0054233 86 15.4814121 -1.9470129 87 9.3080747 15.4814121 88 -36.3901812 9.3080747 89 9.2202464 -36.3901812 90 -34.5155951 9.2202464 91 12.3341686 -34.5155951 92 -1.0984264 12.3341686 93 11.4911135 -1.0984264 94 7.4944678 11.4911135 95 13.7869967 7.4944678 96 4.0216239 13.7869967 97 -8.6569458 4.0216239 98 22.4056479 -8.6569458 99 2.6845752 22.4056479 100 5.6285644 2.6845752 101 -2.7092155 5.6285644 102 -22.6753917 -2.7092155 103 9.4849088 -22.6753917 104 -24.1179463 9.4849088 105 -29.3124507 -24.1179463 106 -8.4209990 -29.3124507 107 2.7021020 -8.4209990 108 -2.0215599 2.7021020 109 3.9006316 -2.0215599 110 13.0703553 3.9006316 111 -9.2153065 13.0703553 112 2.8066396 -9.2153065 113 -13.0849931 2.8066396 114 -0.3628716 -13.0849931 115 -15.7760795 -0.3628716 116 -18.8099143 -15.7760795 117 6.0241177 -18.8099143 118 -22.9129084 6.0241177 119 -10.4991290 -22.9129084 120 4.8937644 -10.4991290 121 13.1779979 4.8937644 122 -0.4061881 13.1779979 123 -9.1911224 -0.4061881 124 1.3417907 -9.1911224 125 11.7043798 1.3417907 126 11.9530721 11.7043798 127 -1.0173802 11.9530721 128 6.4377016 -1.0173802 129 -2.1740644 6.4377016 130 8.7045078 -2.1740644 131 10.0034750 8.7045078 132 -2.1911224 10.0034750 133 15.5791154 -2.1911224 134 3.7099033 15.5791154 135 7.9805755 3.7099033 136 8.1006179 7.9805755 137 -9.9369338 8.1006179 138 1.9603262 -9.9369338 139 -6.5755315 1.9603262 140 -14.5311573 -6.5755315 141 -14.0500311 -14.5311573 142 -1.4643252 -14.0500311 143 10.8483873 -1.4643252 144 -5.5459072 10.8483873 145 15.9074922 -5.5459072 146 4.0538029 15.9074922 147 7.3411125 4.0538029 148 6.9645427 7.3411125 149 6.3269448 6.9645427 150 6.9805146 6.3269448 151 6.9964864 6.9805146 152 6.9645427 6.9964864 153 6.9645427 6.9645427 154 -14.1165337 6.9645427 155 -31.3357345 -14.1165337 156 6.9645427 -31.3357345 157 7.0284302 6.9645427 158 6.6457437 7.0284302 159 2.0844668 6.6457437 160 6.9261094 2.0844668 161 -37.3886776 6.9261094 162 6.9964864 -37.3886776 163 -19.2352806 6.9964864 164 NA -19.2352806 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 12.5143556 1.1679604 [2,] -36.5432263 12.5143556 [3,] 6.7494371 -36.5432263 [4,] -14.1489318 6.7494371 [5,] 8.3123951 -14.1489318 [6,] 2.8504057 8.3123951 [7,] -28.7635132 2.8504057 [8,] 9.8816507 -28.7635132 [9,] -15.2609189 9.8816507 [10,] 7.3834967 -15.2609189 [11,] 8.4696778 7.3834967 [12,] -0.7277609 8.4696778 [13,] -7.5076996 -0.7277609 [14,] -31.4586002 -7.5076996 [15,] 7.6864583 -31.4586002 [16,] 13.7493793 7.6864583 [17,] -26.0456608 13.7493793 [18,] -5.1502931 -26.0456608 [19,] 17.3432479 -5.1502931 [20,] -3.7224136 17.3432479 [21,] 2.7498174 -3.7224136 [22,] 6.4600767 2.7498174 [23,] 27.8463623 6.4600767 [24,] 11.6157694 27.8463623 [25,] 11.5093203 11.6157694 [26,] -7.2661317 11.5093203 [27,] 12.5887187 -7.2661317 [28,] 6.9731278 12.5887187 [29,] 3.5569523 6.9731278 [30,] 16.5972012 3.5569523 [31,] -10.4590033 16.5972012 [32,] 9.9596033 -10.4590033 [33,] 16.5423067 9.9596033 [34,] 10.0201202 16.5423067 [35,] -10.6548104 10.0201202 [36,] 6.0897743 -10.6548104 [37,] -10.4469921 6.0897743 [38,] -3.9786048 -10.4469921 [39,] 13.2088893 -3.9786048 [40,] -7.5565831 13.2088893 [41,] -13.8003149 -7.5565831 [42,] 6.6180726 -13.8003149 [43,] -3.6794838 6.6180726 [44,] -33.9899777 -3.6794838 [45,] -4.6079537 -33.9899777 [46,] -11.9126984 -4.6079537 [47,] 11.4231072 -11.9126984 [48,] 2.5881732 11.4231072 [49,] 7.7621905 2.5881732 [50,] 9.4455589 7.7621905 [51,] 0.4659760 9.4455589 [52,] 10.1799117 0.4659760 [53,] 8.4584964 10.1799117 [54,] -0.1940320 8.4584964 [55,] 5.3950470 -0.1940320 [56,] 21.5451668 5.3950470 [57,] 9.9027079 21.5451668 [58,] 5.2391948 9.9027079 [59,] 7.3290403 5.2391948 [60,] -0.9873112 7.3290403 [61,] -11.7219689 -0.9873112 [62,] -35.7894200 -11.7219689 [63,] 9.3915666 -35.7894200 [64,] 4.8940842 9.3915666 [65,] -10.6796775 4.8940842 [66,] 14.6483002 -10.6796775 [67,] 1.2143952 14.6483002 [68,] 4.4558155 1.2143952 [69,] 8.1513568 4.4558155 [70,] 3.8725810 8.1513568 [71,] 4.1915640 3.8725810 [72,] 13.6496133 4.1915640 [73,] -10.5365178 13.6496133 [74,] 9.3118496 -10.5365178 [75,] 4.0776606 9.3118496 [76,] 9.4788990 4.0776606 [77,] 0.3124880 9.4788990 [78,] 11.8800704 0.3124880 [79,] -1.9836722 11.8800704 [80,] 0.8721683 -1.9836722 [81,] -20.7637630 0.8721683 [82,] 14.7596424 -20.7637630 [83,] -39.7087962 14.7596424 [84,] 5.0054233 -39.7087962 [85,] -1.9470129 5.0054233 [86,] 15.4814121 -1.9470129 [87,] 9.3080747 15.4814121 [88,] -36.3901812 9.3080747 [89,] 9.2202464 -36.3901812 [90,] -34.5155951 9.2202464 [91,] 12.3341686 -34.5155951 [92,] -1.0984264 12.3341686 [93,] 11.4911135 -1.0984264 [94,] 7.4944678 11.4911135 [95,] 13.7869967 7.4944678 [96,] 4.0216239 13.7869967 [97,] -8.6569458 4.0216239 [98,] 22.4056479 -8.6569458 [99,] 2.6845752 22.4056479 [100,] 5.6285644 2.6845752 [101,] -2.7092155 5.6285644 [102,] -22.6753917 -2.7092155 [103,] 9.4849088 -22.6753917 [104,] -24.1179463 9.4849088 [105,] -29.3124507 -24.1179463 [106,] -8.4209990 -29.3124507 [107,] 2.7021020 -8.4209990 [108,] -2.0215599 2.7021020 [109,] 3.9006316 -2.0215599 [110,] 13.0703553 3.9006316 [111,] -9.2153065 13.0703553 [112,] 2.8066396 -9.2153065 [113,] -13.0849931 2.8066396 [114,] -0.3628716 -13.0849931 [115,] -15.7760795 -0.3628716 [116,] -18.8099143 -15.7760795 [117,] 6.0241177 -18.8099143 [118,] -22.9129084 6.0241177 [119,] -10.4991290 -22.9129084 [120,] 4.8937644 -10.4991290 [121,] 13.1779979 4.8937644 [122,] -0.4061881 13.1779979 [123,] -9.1911224 -0.4061881 [124,] 1.3417907 -9.1911224 [125,] 11.7043798 1.3417907 [126,] 11.9530721 11.7043798 [127,] -1.0173802 11.9530721 [128,] 6.4377016 -1.0173802 [129,] -2.1740644 6.4377016 [130,] 8.7045078 -2.1740644 [131,] 10.0034750 8.7045078 [132,] -2.1911224 10.0034750 [133,] 15.5791154 -2.1911224 [134,] 3.7099033 15.5791154 [135,] 7.9805755 3.7099033 [136,] 8.1006179 7.9805755 [137,] -9.9369338 8.1006179 [138,] 1.9603262 -9.9369338 [139,] -6.5755315 1.9603262 [140,] -14.5311573 -6.5755315 [141,] -14.0500311 -14.5311573 [142,] -1.4643252 -14.0500311 [143,] 10.8483873 -1.4643252 [144,] -5.5459072 10.8483873 [145,] 15.9074922 -5.5459072 [146,] 4.0538029 15.9074922 [147,] 7.3411125 4.0538029 [148,] 6.9645427 7.3411125 [149,] 6.3269448 6.9645427 [150,] 6.9805146 6.3269448 [151,] 6.9964864 6.9805146 [152,] 6.9645427 6.9964864 [153,] 6.9645427 6.9645427 [154,] -14.1165337 6.9645427 [155,] -31.3357345 -14.1165337 [156,] 6.9645427 -31.3357345 [157,] 7.0284302 6.9645427 [158,] 6.6457437 7.0284302 [159,] 2.0844668 6.6457437 [160,] 6.9261094 2.0844668 [161,] -37.3886776 6.9261094 [162,] 6.9964864 -37.3886776 [163,] -19.2352806 6.9964864 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 12.5143556 1.1679604 2 -36.5432263 12.5143556 3 6.7494371 -36.5432263 4 -14.1489318 6.7494371 5 8.3123951 -14.1489318 6 2.8504057 8.3123951 7 -28.7635132 2.8504057 8 9.8816507 -28.7635132 9 -15.2609189 9.8816507 10 7.3834967 -15.2609189 11 8.4696778 7.3834967 12 -0.7277609 8.4696778 13 -7.5076996 -0.7277609 14 -31.4586002 -7.5076996 15 7.6864583 -31.4586002 16 13.7493793 7.6864583 17 -26.0456608 13.7493793 18 -5.1502931 -26.0456608 19 17.3432479 -5.1502931 20 -3.7224136 17.3432479 21 2.7498174 -3.7224136 22 6.4600767 2.7498174 23 27.8463623 6.4600767 24 11.6157694 27.8463623 25 11.5093203 11.6157694 26 -7.2661317 11.5093203 27 12.5887187 -7.2661317 28 6.9731278 12.5887187 29 3.5569523 6.9731278 30 16.5972012 3.5569523 31 -10.4590033 16.5972012 32 9.9596033 -10.4590033 33 16.5423067 9.9596033 34 10.0201202 16.5423067 35 -10.6548104 10.0201202 36 6.0897743 -10.6548104 37 -10.4469921 6.0897743 38 -3.9786048 -10.4469921 39 13.2088893 -3.9786048 40 -7.5565831 13.2088893 41 -13.8003149 -7.5565831 42 6.6180726 -13.8003149 43 -3.6794838 6.6180726 44 -33.9899777 -3.6794838 45 -4.6079537 -33.9899777 46 -11.9126984 -4.6079537 47 11.4231072 -11.9126984 48 2.5881732 11.4231072 49 7.7621905 2.5881732 50 9.4455589 7.7621905 51 0.4659760 9.4455589 52 10.1799117 0.4659760 53 8.4584964 10.1799117 54 -0.1940320 8.4584964 55 5.3950470 -0.1940320 56 21.5451668 5.3950470 57 9.9027079 21.5451668 58 5.2391948 9.9027079 59 7.3290403 5.2391948 60 -0.9873112 7.3290403 61 -11.7219689 -0.9873112 62 -35.7894200 -11.7219689 63 9.3915666 -35.7894200 64 4.8940842 9.3915666 65 -10.6796775 4.8940842 66 14.6483002 -10.6796775 67 1.2143952 14.6483002 68 4.4558155 1.2143952 69 8.1513568 4.4558155 70 3.8725810 8.1513568 71 4.1915640 3.8725810 72 13.6496133 4.1915640 73 -10.5365178 13.6496133 74 9.3118496 -10.5365178 75 4.0776606 9.3118496 76 9.4788990 4.0776606 77 0.3124880 9.4788990 78 11.8800704 0.3124880 79 -1.9836722 11.8800704 80 0.8721683 -1.9836722 81 -20.7637630 0.8721683 82 14.7596424 -20.7637630 83 -39.7087962 14.7596424 84 5.0054233 -39.7087962 85 -1.9470129 5.0054233 86 15.4814121 -1.9470129 87 9.3080747 15.4814121 88 -36.3901812 9.3080747 89 9.2202464 -36.3901812 90 -34.5155951 9.2202464 91 12.3341686 -34.5155951 92 -1.0984264 12.3341686 93 11.4911135 -1.0984264 94 7.4944678 11.4911135 95 13.7869967 7.4944678 96 4.0216239 13.7869967 97 -8.6569458 4.0216239 98 22.4056479 -8.6569458 99 2.6845752 22.4056479 100 5.6285644 2.6845752 101 -2.7092155 5.6285644 102 -22.6753917 -2.7092155 103 9.4849088 -22.6753917 104 -24.1179463 9.4849088 105 -29.3124507 -24.1179463 106 -8.4209990 -29.3124507 107 2.7021020 -8.4209990 108 -2.0215599 2.7021020 109 3.9006316 -2.0215599 110 13.0703553 3.9006316 111 -9.2153065 13.0703553 112 2.8066396 -9.2153065 113 -13.0849931 2.8066396 114 -0.3628716 -13.0849931 115 -15.7760795 -0.3628716 116 -18.8099143 -15.7760795 117 6.0241177 -18.8099143 118 -22.9129084 6.0241177 119 -10.4991290 -22.9129084 120 4.8937644 -10.4991290 121 13.1779979 4.8937644 122 -0.4061881 13.1779979 123 -9.1911224 -0.4061881 124 1.3417907 -9.1911224 125 11.7043798 1.3417907 126 11.9530721 11.7043798 127 -1.0173802 11.9530721 128 6.4377016 -1.0173802 129 -2.1740644 6.4377016 130 8.7045078 -2.1740644 131 10.0034750 8.7045078 132 -2.1911224 10.0034750 133 15.5791154 -2.1911224 134 3.7099033 15.5791154 135 7.9805755 3.7099033 136 8.1006179 7.9805755 137 -9.9369338 8.1006179 138 1.9603262 -9.9369338 139 -6.5755315 1.9603262 140 -14.5311573 -6.5755315 141 -14.0500311 -14.5311573 142 -1.4643252 -14.0500311 143 10.8483873 -1.4643252 144 -5.5459072 10.8483873 145 15.9074922 -5.5459072 146 4.0538029 15.9074922 147 7.3411125 4.0538029 148 6.9645427 7.3411125 149 6.3269448 6.9645427 150 6.9805146 6.3269448 151 6.9964864 6.9805146 152 6.9645427 6.9964864 153 6.9645427 6.9645427 154 -14.1165337 6.9645427 155 -31.3357345 -14.1165337 156 6.9645427 -31.3357345 157 7.0284302 6.9645427 158 6.6457437 7.0284302 159 2.0844668 6.6457437 160 6.9261094 2.0844668 161 -37.3886776 6.9261094 162 6.9964864 -37.3886776 163 -19.2352806 6.9964864 > 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/7drjl1321904670.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/8lcgx1321904670.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/9n8po1321904670.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/106tvf1321904670.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/114ims1321904670.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/122p1w1321904670.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/13wbkc1321904670.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/1417ge1321904670.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/15yz0j1321904670.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/16bhhy1321904670.tab") + } > > try(system("convert tmp/1casr1321904670.ps tmp/1casr1321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/21y471321904670.ps tmp/21y471321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/38am61321904670.ps tmp/38am61321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/4ok381321904670.ps tmp/4ok381321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/5t6ao1321904670.ps tmp/5t6ao1321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/6gqm31321904670.ps tmp/6gqm31321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/7drjl1321904670.ps tmp/7drjl1321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/8lcgx1321904670.ps tmp/8lcgx1321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/9n8po1321904670.ps tmp/9n8po1321904670.png",intern=TRUE)) character(0) > try(system("convert tmp/106tvf1321904670.ps tmp/106tvf1321904670.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.980 0.170 4.236