R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-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(1 + ,9 + ,5 + ,-1 + ,6 + ,24 + ,2 + ,11 + ,5 + ,-4 + ,6 + ,29 + ,3 + ,13 + ,9 + ,-6 + ,8 + ,29 + ,4 + ,12 + ,10 + ,-9 + ,4 + ,25 + ,5 + ,13 + ,14 + ,-13 + ,8 + ,16 + ,6 + ,15 + ,19 + ,-13 + ,10 + ,18 + ,7 + ,13 + ,18 + ,-10 + ,9 + ,13 + ,8 + ,16 + ,16 + ,-12 + ,12 + ,22 + ,9 + ,10 + ,8 + ,-9 + ,9 + ,15 + ,10 + ,14 + ,10 + ,-15 + ,11 + ,20 + ,11 + ,14 + ,12 + ,-14 + ,11 + ,19 + ,12 + ,15 + ,13 + ,-18 + ,11 + ,18 + ,1 + ,13 + ,15 + ,-13 + ,11 + ,13 + ,2 + ,8 + ,3 + ,-2 + ,11 + ,17 + ,3 + ,7 + ,2 + ,-1 + ,9 + ,17 + ,4 + ,3 + ,-2 + ,5 + ,8 + ,13 + ,5 + ,3 + ,1 + ,8 + ,6 + ,14 + ,6 + ,4 + ,1 + ,6 + ,7 + ,13 + ,7 + ,4 + ,-1 + ,7 + ,8 + ,17 + ,8 + ,0 + ,-6 + ,15 + ,6 + ,17 + ,9 + ,-4 + ,-13 + ,23 + ,5 + ,15 + ,10 + ,-14 + ,-25 + ,43 + ,2 + ,9 + ,11 + ,-18 + ,-26 + ,60 + ,3 + ,10 + ,12 + ,-8 + ,-9 + ,36 + ,3 + ,9 + ,1 + ,-1 + ,1 + ,28 + ,7 + ,14 + ,2 + ,1 + ,3 + ,23 + ,8 + ,18 + ,3 + ,2 + ,6 + ,23 + ,7 + ,18 + ,4 + ,0 + ,2 + ,22 + ,7 + ,12 + ,5 + ,1 + ,5 + ,22 + ,6 + ,16 + ,6 + ,0 + ,5 + ,24 + ,6 + ,12 + ,7 + ,-1 + ,0 + ,32 + ,7 + ,19 + ,8 + ,-3 + ,-5 + ,27 + ,5 + ,13 + ,9 + ,-3 + ,-4 + ,27 + ,5 + ,12 + ,10 + ,-3 + ,-2 + ,27 + ,5 + ,13 + ,11 + ,-4 + ,-1 + ,29 + ,4 + ,11 + ,12 + ,-8 + ,-8 + ,38 + ,4 + ,10 + ,1 + ,-9 + ,-16 + ,40 + ,4 + ,16 + ,2 + ,-13 + ,-19 + ,45 + ,1 + ,12 + ,3 + ,-18 + ,-28 + ,50 + ,-1 + ,6 + ,4 + ,-11 + ,-11 + ,43 + ,3 + ,8 + ,5 + ,-9 + ,-4 + ,44 + ,4 + ,6 + ,6 + ,-10 + ,-9 + ,44 + ,3 + ,8 + ,7 + ,-13 + ,-12 + ,49 + ,2 + ,8 + ,8 + ,-11 + ,-10 + ,42 + ,1 + ,9 + ,9 + ,-5 + ,-2 + ,36 + ,4 + ,13 + ,10 + ,-15 + ,-13 + ,57 + ,3 + ,8 + ,11 + ,-6 + ,0 + ,42 + ,5 + ,11 + ,12 + ,-6 + ,0 + ,39 + ,6 + ,8 + ,1 + ,-3 + ,4 + ,33 + ,6 + ,10 + ,2 + ,-1 + ,7 + ,32 + ,6 + ,15 + ,3 + ,-3 + ,5 + ,34 + ,6 + ,12 + ,4 + ,-4 + ,2 + ,37 + ,6 + ,13 + ,5 + ,-6 + ,-2 + ,38 + ,5 + ,12 + ,6 + ,0 + ,6 + ,28 + ,6 + ,15 + ,7 + ,-4 + ,-3 + ,31 + ,5 + ,13 + ,8 + ,-2 + ,1 + ,28 + ,6 + ,13 + ,9 + ,-2 + ,0 + ,30 + ,5 + ,16 + ,10 + ,-6 + ,-7 + ,39 + ,7 + 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,5 + ,9 + ,-11 + ,6 + ,57 + ,1 + ,6 + ,10 + ,-12 + ,3 + ,57 + ,3 + ,6 + ,11 + ,-10 + ,10 + ,55 + ,3 + ,3 + ,12 + ,-15 + ,0 + ,65 + ,1 + ,4 + ,1 + ,-15 + ,-2 + ,65 + ,1 + ,7 + ,2 + ,-15 + ,-1 + ,64 + ,0 + ,5 + ,3 + ,-13 + ,2 + ,60 + ,2 + ,6 + ,4 + ,-8 + ,8 + ,43 + ,2 + ,1 + ,5 + ,-13 + ,-6 + ,47 + ,-1 + ,3 + ,6 + ,-9 + ,-4 + ,40 + ,1 + ,6 + ,7 + ,-7 + ,4 + ,31 + ,0 + ,0 + ,8 + ,-4 + ,7 + ,27 + ,1 + ,3 + ,9 + ,-4 + ,3 + ,24 + ,1 + ,4 + ,10 + ,-2 + ,3 + ,23 + ,3 + ,7 + ,11 + ,0 + ,8 + ,17 + ,2 + ,6 + ,12 + ,-2 + ,3 + ,16 + ,0 + ,6 + ,1 + ,-3 + ,-3 + ,15 + ,0 + ,6 + ,2 + ,1 + ,4 + ,8 + ,3 + ,6 + ,3 + ,-2 + ,-5 + ,5 + ,-2 + ,2 + ,4 + ,-1 + ,-1 + ,6 + ,0 + ,2 + ,5 + ,1 + ,5 + ,5 + ,1 + ,2 + ,6 + ,-3 + ,0 + ,12 + ,-1 + ,3 + ,7 + ,-4 + ,-6 + ,8 + ,-2 + ,-1 + ,8 + ,-9 + ,-13 + ,17 + ,-1 + ,-4 + ,9 + ,-9 + ,-15 + ,22 + ,-1 + ,4 + ,10 + ,-7 + ,-8 + ,24 + ,1 + ,5 + ,11 + ,-14 + ,-20 + ,36 + ,-2 + ,3 + ,12 + ,-12 + ,-10 + ,31 + ,-5 + ,-1 + ,1 + ,-16 + ,-22 + ,34 + ,-5 + ,-4 + ,2 + ,-20 + ,-25 + ,47 + ,-6 + ,0 + ,3 + ,-12 + ,-10 + ,33 + ,-4 + ,-1 + ,4 + ,-12 + ,-8 + ,35 + ,-3 + ,-1 + ,5 + ,-10 + ,-9 + ,31 + ,-3 + ,3 + ,6 + ,-10 + ,-5 + ,35 + ,-1 + ,2 + ,7 + ,-13 + ,-7 + ,39 + ,-2 + ,-4 + ,8 + ,-16 + ,-11 + ,46 + ,-3 + ,-3 + ,9 + ,-14 + ,-11 + ,40 + ,-3 + ,-1 + ,10 + ,-17 + ,-16 + ,50 + ,-3 + ,3) + ,dim=c(6 + ,154) + ,dimnames=list(c('maand' + ,'consumentenvertrouwen' + ,'economischesituatie' + ,'werkloosheid' + ,'financielesituatie' + ,'spaarvermogen') + ,1:154)) > y <- array(NA,dim=c(6,154),dimnames=list(c('maand','consumentenvertrouwen','economischesituatie','werkloosheid','financielesituatie','spaarvermogen'),1:154)) > 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 = '2' > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, as.Date.numeric > 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 consumentenvertrouwen maand economischesituatie werkloosheid 1 9 1 5 -1 2 11 2 5 -4 3 13 3 9 -6 4 12 4 10 -9 5 13 5 14 -13 6 15 6 19 -13 7 13 7 18 -10 8 16 8 16 -12 9 10 9 8 -9 10 14 10 10 -15 11 14 11 12 -14 12 15 12 13 -18 13 13 1 15 -13 14 8 2 3 -2 15 7 3 2 -1 16 3 4 -2 5 17 3 5 1 8 18 4 6 1 6 19 4 7 -1 7 20 0 8 -6 15 21 -4 9 -13 23 22 -14 10 -25 43 23 -18 11 -26 60 24 -8 12 -9 36 25 -1 1 1 28 26 1 2 3 23 27 2 3 6 23 28 0 4 2 22 29 1 5 5 22 30 0 6 5 24 31 -1 7 0 32 32 -3 8 -5 27 33 -3 9 -4 27 34 -3 10 -2 27 35 -4 11 -1 29 36 -8 12 -8 38 37 -9 1 -16 40 38 -13 2 -19 45 39 -18 3 -28 50 40 -11 4 -11 43 41 -9 5 -4 44 42 -10 6 -9 44 43 -13 7 -12 49 44 -11 8 -10 42 45 -5 9 -2 36 46 -15 10 -13 57 47 -6 11 0 42 48 -6 12 0 39 49 -3 1 4 33 50 -1 2 7 32 51 -3 3 5 34 52 -4 4 2 37 53 -6 5 -2 38 54 0 6 6 28 55 -4 7 -3 31 56 -2 8 1 28 57 -2 9 0 30 58 -6 10 -7 39 59 -7 11 -6 38 60 -6 12 -4 39 61 -6 1 -4 38 62 -3 2 -2 37 63 -2 3 2 32 64 -5 4 -5 32 65 -11 5 -15 44 66 -11 6 -16 43 67 -11 7 -18 42 68 -10 8 -13 38 69 -14 9 -23 37 70 -8 10 -10 35 71 -9 11 -10 37 72 -5 12 -6 33 73 -1 1 -3 24 74 -2 2 -4 24 75 -5 3 -7 31 76 -4 4 -7 25 77 -6 5 -7 28 78 -2 6 -3 24 79 -2 7 0 25 80 -2 8 -5 16 81 -2 9 -3 17 82 2 10 3 11 83 1 11 2 12 84 -8 12 -7 39 85 -1 1 -1 19 86 1 2 0 14 87 -1 3 -3 15 88 2 4 4 7 89 2 5 2 12 90 1 6 3 12 91 -1 7 0 14 92 -2 8 -10 9 93 -2 9 -10 8 94 -1 10 -9 4 95 -8 11 -22 7 96 -4 12 -16 3 97 -6 1 -18 5 98 -3 2 -14 0 99 -3 3 -12 -2 100 -7 4 -17 6 101 -9 5 -23 11 102 -11 6 -28 9 103 -13 7 -31 17 104 -11 8 -21 21 105 -9 9 -19 21 106 -17 10 -22 41 107 -22 11 -22 57 108 -25 12 -25 65 109 -20 1 -16 68 110 -24 2 -22 73 111 -24 3 -21 71 112 -22 4 -10 71 113 -19 5 -7 70 114 -18 6 -5 69 115 -17 7 -4 65 116 -11 8 7 57 117 -11 9 6 57 118 -12 10 3 57 119 -10 11 10 55 120 -15 12 0 65 121 -15 1 -2 65 122 -15 2 -1 64 123 -13 3 2 60 124 -8 4 8 43 125 -13 5 -6 47 126 -9 6 -4 40 127 -7 7 4 31 128 -4 8 7 27 129 -4 9 3 24 130 -2 10 3 23 131 0 11 8 17 132 -2 12 3 16 133 -3 1 -3 15 134 1 2 4 8 135 -2 3 -5 5 136 -1 4 -1 6 137 1 5 5 5 138 -3 6 0 12 139 -4 7 -6 8 140 -9 8 -13 17 141 -9 9 -15 22 142 -7 10 -8 24 143 -14 11 -20 36 144 -12 12 -10 31 145 -16 1 -22 34 146 -20 2 -25 47 147 -12 3 -10 33 148 -12 4 -8 35 149 -10 5 -9 31 150 -10 6 -5 35 151 -13 7 -7 39 152 -16 8 -11 46 153 -14 9 -11 40 154 -17 10 -16 50 financielesituatie spaarvermogen 1 6 24 2 6 29 3 8 29 4 4 25 5 8 16 6 10 18 7 9 13 8 12 22 9 9 15 10 11 20 11 11 19 12 11 18 13 11 13 14 11 17 15 9 17 16 8 13 17 6 14 18 7 13 19 8 17 20 6 17 21 5 15 22 2 9 23 3 10 24 3 9 25 7 14 26 8 18 27 7 18 28 7 12 29 6 16 30 6 12 31 7 19 32 5 13 33 5 12 34 5 13 35 4 11 36 4 10 37 4 16 38 1 12 39 -1 6 40 3 8 41 4 6 42 3 8 43 2 8 44 1 9 45 4 13 46 3 8 47 5 11 48 6 8 49 6 10 50 6 15 51 6 12 52 6 13 53 5 12 54 6 15 55 5 13 56 6 13 57 5 16 58 7 14 59 4 12 60 5 15 61 6 14 62 6 19 63 5 16 64 3 16 65 2 11 66 3 13 67 3 12 68 2 11 69 0 6 70 4 9 71 4 6 72 5 15 73 6 17 74 6 13 75 5 12 76 5 13 77 3 10 78 5 14 79 5 13 80 5 10 81 3 11 82 6 12 83 6 7 84 4 11 85 6 9 86 5 13 87 4 12 88 5 5 89 5 13 90 4 11 91 3 8 92 2 8 93 3 8 94 2 8 95 -1 0 96 0 3 97 -2 0 98 1 -1 99 -2 -1 100 -2 -4 101 -2 1 102 -6 -1 103 -4 0 104 -2 -1 105 0 6 106 -5 0 107 -4 -3 108 -5 -3 109 -1 4 110 -2 1 111 -4 0 112 -1 -4 113 1 -2 114 1 3 115 -2 2 116 1 5 117 1 6 118 3 6 119 3 3 120 1 4 121 1 7 122 0 5 123 2 6 124 2 1 125 -1 3 126 1 6 127 0 0 128 1 3 129 1 4 130 3 7 131 2 6 132 0 6 133 0 6 134 3 6 135 -2 2 136 0 2 137 1 2 138 -1 3 139 -2 -1 140 -1 -4 141 -1 4 142 1 5 143 -2 3 144 -5 -1 145 -5 -4 146 -6 0 147 -4 -1 148 -3 -1 149 -3 3 150 -1 2 151 -2 -4 152 -3 -3 153 -3 -1 154 -3 3 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) maand economischesituatie 0.06846 -0.01232 0.24956 werkloosheid financielesituatie spaarvermogen -0.25062 0.27826 0.23856 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -0.67455 -0.22551 0.02388 0.24241 0.58335 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.068458 0.083377 0.821 0.4129 maand -0.012325 0.007427 -1.659 0.0991 . economischesituatie 0.249562 0.003555 70.195 <2e-16 *** werkloosheid -0.250622 0.001360 -184.284 <2e-16 *** financielesituatie 0.278264 0.014926 18.643 <2e-16 *** spaarvermogen 0.238555 0.007088 33.658 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.3113 on 148 degrees of freedom Multiple R-squared: 0.9987, Adjusted R-squared: 0.9987 F-statistic: 2.306e+04 on 5 and 148 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,] 0.55130593 0.89738815 0.44869407 [2,] 0.38921458 0.77842915 0.61078542 [3,] 0.25341059 0.50682118 0.74658941 [4,] 0.15316061 0.30632122 0.84683939 [5,] 0.09472012 0.18944024 0.90527988 [6,] 0.05449976 0.10899951 0.94550024 [7,] 0.02935853 0.05871706 0.97064147 [8,] 0.02027525 0.04055049 0.97972475 [9,] 0.01052959 0.02105918 0.98947041 [10,] 0.03956951 0.07913902 0.96043049 [11,] 0.02639262 0.05278523 0.97360738 [12,] 0.02664491 0.05328983 0.97335509 [13,] 0.05016757 0.10033515 0.94983243 [14,] 0.10109637 0.20219274 0.89890363 [15,] 0.07823246 0.15646491 0.92176754 [16,] 0.06820084 0.13640169 0.93179916 [17,] 0.05057203 0.10114406 0.94942797 [18,] 0.30081652 0.60163303 0.69918348 [19,] 0.27353361 0.54706723 0.72646639 [20,] 0.22670190 0.45340380 0.77329810 [21,] 0.29967154 0.59934307 0.70032846 [22,] 0.24807921 0.49615842 0.75192079 [23,] 0.27237952 0.54475904 0.72762048 [24,] 0.31100911 0.62201822 0.68899089 [25,] 0.32693734 0.65387468 0.67306266 [26,] 0.43278392 0.86556785 0.56721608 [27,] 0.53190675 0.93618650 0.46809325 [28,] 0.49736681 0.99473362 0.50263319 [29,] 0.44252800 0.88505599 0.55747200 [30,] 0.40395138 0.80790277 0.59604862 [31,] 0.42349095 0.84698190 0.57650905 [32,] 0.43027231 0.86054462 0.56972769 [33,] 0.44175375 0.88350749 0.55824625 [34,] 0.47623071 0.95246141 0.52376929 [35,] 0.51005097 0.97989807 0.48994903 [36,] 0.62975041 0.74049918 0.37024959 [37,] 0.60668126 0.78663748 0.39331874 [38,] 0.62359448 0.75281104 0.37640552 [39,] 0.66443526 0.67112949 0.33556474 [40,] 0.63632389 0.72735222 0.36367611 [41,] 0.59204619 0.81590762 0.40795381 [42,] 0.55534370 0.88931260 0.44465630 [43,] 0.58096731 0.83806539 0.41903269 [44,] 0.53642906 0.92714188 0.46357094 [45,] 0.53499796 0.93000408 0.46500204 [46,] 0.50881443 0.98237115 0.49118557 [47,] 0.46230834 0.92461668 0.53769166 [48,] 0.41849480 0.83698961 0.58150520 [49,] 0.41691275 0.83382550 0.58308725 [50,] 0.41023755 0.82047509 0.58976245 [51,] 0.38292828 0.76585656 0.61707172 [52,] 0.38900189 0.77800378 0.61099811 [53,] 0.47574560 0.95149120 0.52425440 [54,] 0.58876480 0.82247039 0.41123520 [55,] 0.58555700 0.82888601 0.41444300 [56,] 0.62654263 0.74691475 0.37345737 [57,] 0.76235033 0.47529934 0.23764967 [58,] 0.73628760 0.52742480 0.26371240 [59,] 0.77766090 0.44467819 0.22233910 [60,] 0.79888880 0.40222241 0.20111120 [61,] 0.79849885 0.40300230 0.20150115 [62,] 0.77442095 0.45115810 0.22557905 [63,] 0.78987493 0.42025013 0.21012507 [64,] 0.78460893 0.43078215 0.21539107 [65,] 0.75305893 0.49388213 0.24694107 [66,] 0.75597940 0.48804120 0.24402060 [67,] 0.77361672 0.45276655 0.22638328 [68,] 0.79452319 0.41095361 0.20547681 [69,] 0.81420086 0.37159829 0.18579914 [70,] 0.79578022 0.40843956 0.20421978 [71,] 0.77453238 0.45093524 0.22546762 [72,] 0.79267685 0.41464629 0.20732315 [73,] 0.79397980 0.41204040 0.20602020 [74,] 0.81571137 0.36857726 0.18428863 [75,] 0.82055377 0.35889247 0.17944623 [76,] 0.80624395 0.38751210 0.19375605 [77,] 0.79309238 0.41381523 0.20690762 [78,] 0.75984491 0.48031018 0.24015509 [79,] 0.78540427 0.42919146 0.21459573 [80,] 0.77122594 0.45754812 0.22877406 [81,] 0.73689870 0.52620260 0.26310130 [82,] 0.77135579 0.45728842 0.22864421 [83,] 0.74535502 0.50928997 0.25464498 [84,] 0.79041350 0.41917301 0.20958650 [85,] 0.75536269 0.48927462 0.24463731 [86,] 0.71724288 0.56551425 0.28275712 [87,] 0.71899515 0.56200969 0.28100485 [88,] 0.70375663 0.59248674 0.29624337 [89,] 0.71438766 0.57122469 0.28561234 [90,] 0.75403221 0.49193557 0.24596779 [91,] 0.73336174 0.53327652 0.26663826 [92,] 0.70966681 0.58066639 0.29033319 [93,] 0.67878216 0.64243568 0.32121784 [94,] 0.63934688 0.72130624 0.36065312 [95,] 0.60603787 0.78792427 0.39396213 [96,] 0.63970175 0.72059650 0.36029825 [97,] 0.62961189 0.74077622 0.37038811 [98,] 0.61477806 0.77044388 0.38522194 [99,] 0.60917439 0.78165121 0.39082561 [100,] 0.58687216 0.82625568 0.41312784 [101,] 0.61376126 0.77247747 0.38623874 [102,] 0.59771114 0.80457772 0.40228886 [103,] 0.58518088 0.82963823 0.41481912 [104,] 0.64120308 0.71759385 0.35879692 [105,] 0.81431913 0.37136174 0.18568087 [106,] 0.80962723 0.38074554 0.19037277 [107,] 0.85020212 0.29959576 0.14979788 [108,] 0.82177433 0.35645135 0.17822567 [109,] 0.79936761 0.40126479 0.20063239 [110,] 0.87533434 0.24933131 0.12466566 [111,] 0.85013149 0.29973701 0.14986851 [112,] 0.85323390 0.29353220 0.14676610 [113,] 0.81859566 0.36280868 0.18140434 [114,] 0.80374063 0.39251875 0.19625937 [115,] 0.80885165 0.38229670 0.19114835 [116,] 0.76234582 0.47530836 0.23765418 [117,] 0.71438567 0.57122866 0.28561433 [118,] 0.77353724 0.45292552 0.22646276 [119,] 0.76174465 0.47651070 0.23825535 [120,] 0.70546250 0.58907500 0.29453750 [121,] 0.64279248 0.71441505 0.35720752 [122,] 0.90408229 0.19183543 0.09591771 [123,] 0.95882004 0.08235993 0.04117996 [124,] 0.93838745 0.12322510 0.06161255 [125,] 0.91127667 0.17744665 0.08872333 [126,] 0.89223163 0.21553673 0.10776837 [127,] 0.91852266 0.16295467 0.08147734 [128,] 0.90371132 0.19257737 0.09628868 [129,] 0.91134914 0.17730171 0.08865086 [130,] 0.95545626 0.08908748 0.04454374 [131,] 0.94654699 0.10690602 0.05345301 [132,] 0.94382883 0.11234234 0.05617117 [133,] 0.94152601 0.11694797 0.05847399 [134,] 0.97992909 0.04014182 0.02007091 [135,] 0.96827345 0.06345309 0.03172655 [136,] 0.96138654 0.07722693 0.03861346 [137,] 0.90771992 0.18456015 0.09228008 > postscript(file="/var/wessaorg/rcomp/tmp/1w0xs1353436295.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/25fgd1353436295.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/388781353436295.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4u0oq1353436295.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/52gtp1353436295.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 = 154 Frequency = 1 1 2 3 4 5 6 0.050526276 0.118208345 0.074511409 0.152682204 0.198209891 -0.070915247 7 8 9 10 11 12 0.413878481 0.442296110 -0.292335263 -0.032172346 -0.029794958 -0.030966621 13 14 15 16 17 18 -0.219777385 -0.410078360 -0.341041437 -0.594248587 -0.260772080 0.210599664 19 20 21 22 23 24 -0.259812619 -0.438169729 0.081444770 0.367087220 0.372734833 0.366117720 25 26 27 28 29 30 0.424110963 -0.548284985 -0.006383875 0.184899542 -0.227420036 0.240370095 31 32 33 34 35 36 0.557335801 0.552219789 0.553537336 -0.171817923 -0.152436938 0.100981031 37 38 39 40 41 42 0.031821089 -0.165043505 0.334313358 -0.240444765 0.474411824 0.535702288 43 44 45 46 47 48 -0.171910314 -0.373358032 0.349721624 -0.158658578 0.577826874 0.275686660 49 50 51 52 53 54 0.161019438 -0.018741274 -0.290381391 -0.016057431 -0.238041609 0.277631327 55 56 57 58 59 60 0.043259237 0.027203658 0.352933707 0.288379529 0.112420925 -0.117686035 61 62 63 64 65 66 -0.543590039 0.526211711 0.281104362 -0.403106245 0.583350368 -0.160758639 67 68 69 70 71 72 0.338623992 -0.382533860 -0.375903522 0.062144545 0.291379504 -0.122294927 73 74 75 76 77 78 -0.017530255 0.198577733 0.230764908 -0.499199242 -0.462814661 0.038023109 79 80 81 82 83 84 -0.209161965 -0.488960024 -0.407165661 -0.469295565 0.235989898 -0.136514300 85 86 87 88 89 90 0.138674684 -0.027631483 -0.499178124 0.152853602 0.008973500 -0.472890120 91 92 93 94 95 96 -0.216704114 0.316397492 -0.200163633 -0.161626808 -0.409890697 0.108640980 97 98 99 100 101 102 0.245630133 0.410357800 0.257104088 0.237885174 -0.192079562 0.156977966 103 104 105 106 107 108 0.127886119 0.329103397 -0.384110214 0.211997396 -0.328319068 -0.284064762 109 110 111 112 113 114 0.303225928 0.059966229 0.116566490 -0.496866048 0.482511436 -0.447686814 115 116 117 118 119 120 0.385932502 0.097635338 0.120967466 -0.674547630 -0.194739117 0.137405517 121 122 123 124 125 126 -0.214708288 0.052805789 -0.481128463 -0.033981684 -0.167612528 0.319038430 127 128 129 130 131 132 -0.211142462 0.056076602 0.076229209 0.565738908 0.343336450 -0.090621384 133 134 135 136 137 138 0.020557873 -0.303201623 0.548857455 0.257027426 0.243091527 -0.424443057 139 140 141 142 143 144 0.315251691 -0.232483655 -0.376363756 -0.404814041 -0.078370701 -0.025770331 145 146 147 148 149 150 0.300938427 -0.355916442 0.086287076 -0.177532065 0.127645336 -0.173762613 151 152 153 154 0.049771052 -0.145589655 -0.114108977 -0.301969490 > postscript(file="/var/wessaorg/rcomp/tmp/6dwe61353436295.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 = 154 Frequency = 1 lag(myerror, k = 1) myerror 0 0.050526276 NA 1 0.118208345 0.050526276 2 0.074511409 0.118208345 3 0.152682204 0.074511409 4 0.198209891 0.152682204 5 -0.070915247 0.198209891 6 0.413878481 -0.070915247 7 0.442296110 0.413878481 8 -0.292335263 0.442296110 9 -0.032172346 -0.292335263 10 -0.029794958 -0.032172346 11 -0.030966621 -0.029794958 12 -0.219777385 -0.030966621 13 -0.410078360 -0.219777385 14 -0.341041437 -0.410078360 15 -0.594248587 -0.341041437 16 -0.260772080 -0.594248587 17 0.210599664 -0.260772080 18 -0.259812619 0.210599664 19 -0.438169729 -0.259812619 20 0.081444770 -0.438169729 21 0.367087220 0.081444770 22 0.372734833 0.367087220 23 0.366117720 0.372734833 24 0.424110963 0.366117720 25 -0.548284985 0.424110963 26 -0.006383875 -0.548284985 27 0.184899542 -0.006383875 28 -0.227420036 0.184899542 29 0.240370095 -0.227420036 30 0.557335801 0.240370095 31 0.552219789 0.557335801 32 0.553537336 0.552219789 33 -0.171817923 0.553537336 34 -0.152436938 -0.171817923 35 0.100981031 -0.152436938 36 0.031821089 0.100981031 37 -0.165043505 0.031821089 38 0.334313358 -0.165043505 39 -0.240444765 0.334313358 40 0.474411824 -0.240444765 41 0.535702288 0.474411824 42 -0.171910314 0.535702288 43 -0.373358032 -0.171910314 44 0.349721624 -0.373358032 45 -0.158658578 0.349721624 46 0.577826874 -0.158658578 47 0.275686660 0.577826874 48 0.161019438 0.275686660 49 -0.018741274 0.161019438 50 -0.290381391 -0.018741274 51 -0.016057431 -0.290381391 52 -0.238041609 -0.016057431 53 0.277631327 -0.238041609 54 0.043259237 0.277631327 55 0.027203658 0.043259237 56 0.352933707 0.027203658 57 0.288379529 0.352933707 58 0.112420925 0.288379529 59 -0.117686035 0.112420925 60 -0.543590039 -0.117686035 61 0.526211711 -0.543590039 62 0.281104362 0.526211711 63 -0.403106245 0.281104362 64 0.583350368 -0.403106245 65 -0.160758639 0.583350368 66 0.338623992 -0.160758639 67 -0.382533860 0.338623992 68 -0.375903522 -0.382533860 69 0.062144545 -0.375903522 70 0.291379504 0.062144545 71 -0.122294927 0.291379504 72 -0.017530255 -0.122294927 73 0.198577733 -0.017530255 74 0.230764908 0.198577733 75 -0.499199242 0.230764908 76 -0.462814661 -0.499199242 77 0.038023109 -0.462814661 78 -0.209161965 0.038023109 79 -0.488960024 -0.209161965 80 -0.407165661 -0.488960024 81 -0.469295565 -0.407165661 82 0.235989898 -0.469295565 83 -0.136514300 0.235989898 84 0.138674684 -0.136514300 85 -0.027631483 0.138674684 86 -0.499178124 -0.027631483 87 0.152853602 -0.499178124 88 0.008973500 0.152853602 89 -0.472890120 0.008973500 90 -0.216704114 -0.472890120 91 0.316397492 -0.216704114 92 -0.200163633 0.316397492 93 -0.161626808 -0.200163633 94 -0.409890697 -0.161626808 95 0.108640980 -0.409890697 96 0.245630133 0.108640980 97 0.410357800 0.245630133 98 0.257104088 0.410357800 99 0.237885174 0.257104088 100 -0.192079562 0.237885174 101 0.156977966 -0.192079562 102 0.127886119 0.156977966 103 0.329103397 0.127886119 104 -0.384110214 0.329103397 105 0.211997396 -0.384110214 106 -0.328319068 0.211997396 107 -0.284064762 -0.328319068 108 0.303225928 -0.284064762 109 0.059966229 0.303225928 110 0.116566490 0.059966229 111 -0.496866048 0.116566490 112 0.482511436 -0.496866048 113 -0.447686814 0.482511436 114 0.385932502 -0.447686814 115 0.097635338 0.385932502 116 0.120967466 0.097635338 117 -0.674547630 0.120967466 118 -0.194739117 -0.674547630 119 0.137405517 -0.194739117 120 -0.214708288 0.137405517 121 0.052805789 -0.214708288 122 -0.481128463 0.052805789 123 -0.033981684 -0.481128463 124 -0.167612528 -0.033981684 125 0.319038430 -0.167612528 126 -0.211142462 0.319038430 127 0.056076602 -0.211142462 128 0.076229209 0.056076602 129 0.565738908 0.076229209 130 0.343336450 0.565738908 131 -0.090621384 0.343336450 132 0.020557873 -0.090621384 133 -0.303201623 0.020557873 134 0.548857455 -0.303201623 135 0.257027426 0.548857455 136 0.243091527 0.257027426 137 -0.424443057 0.243091527 138 0.315251691 -0.424443057 139 -0.232483655 0.315251691 140 -0.376363756 -0.232483655 141 -0.404814041 -0.376363756 142 -0.078370701 -0.404814041 143 -0.025770331 -0.078370701 144 0.300938427 -0.025770331 145 -0.355916442 0.300938427 146 0.086287076 -0.355916442 147 -0.177532065 0.086287076 148 0.127645336 -0.177532065 149 -0.173762613 0.127645336 150 0.049771052 -0.173762613 151 -0.145589655 0.049771052 152 -0.114108977 -0.145589655 153 -0.301969490 -0.114108977 154 NA -0.301969490 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 0.118208345 0.050526276 [2,] 0.074511409 0.118208345 [3,] 0.152682204 0.074511409 [4,] 0.198209891 0.152682204 [5,] -0.070915247 0.198209891 [6,] 0.413878481 -0.070915247 [7,] 0.442296110 0.413878481 [8,] -0.292335263 0.442296110 [9,] -0.032172346 -0.292335263 [10,] -0.029794958 -0.032172346 [11,] -0.030966621 -0.029794958 [12,] -0.219777385 -0.030966621 [13,] -0.410078360 -0.219777385 [14,] -0.341041437 -0.410078360 [15,] -0.594248587 -0.341041437 [16,] -0.260772080 -0.594248587 [17,] 0.210599664 -0.260772080 [18,] -0.259812619 0.210599664 [19,] -0.438169729 -0.259812619 [20,] 0.081444770 -0.438169729 [21,] 0.367087220 0.081444770 [22,] 0.372734833 0.367087220 [23,] 0.366117720 0.372734833 [24,] 0.424110963 0.366117720 [25,] -0.548284985 0.424110963 [26,] -0.006383875 -0.548284985 [27,] 0.184899542 -0.006383875 [28,] -0.227420036 0.184899542 [29,] 0.240370095 -0.227420036 [30,] 0.557335801 0.240370095 [31,] 0.552219789 0.557335801 [32,] 0.553537336 0.552219789 [33,] -0.171817923 0.553537336 [34,] -0.152436938 -0.171817923 [35,] 0.100981031 -0.152436938 [36,] 0.031821089 0.100981031 [37,] -0.165043505 0.031821089 [38,] 0.334313358 -0.165043505 [39,] -0.240444765 0.334313358 [40,] 0.474411824 -0.240444765 [41,] 0.535702288 0.474411824 [42,] -0.171910314 0.535702288 [43,] -0.373358032 -0.171910314 [44,] 0.349721624 -0.373358032 [45,] -0.158658578 0.349721624 [46,] 0.577826874 -0.158658578 [47,] 0.275686660 0.577826874 [48,] 0.161019438 0.275686660 [49,] -0.018741274 0.161019438 [50,] -0.290381391 -0.018741274 [51,] -0.016057431 -0.290381391 [52,] -0.238041609 -0.016057431 [53,] 0.277631327 -0.238041609 [54,] 0.043259237 0.277631327 [55,] 0.027203658 0.043259237 [56,] 0.352933707 0.027203658 [57,] 0.288379529 0.352933707 [58,] 0.112420925 0.288379529 [59,] -0.117686035 0.112420925 [60,] -0.543590039 -0.117686035 [61,] 0.526211711 -0.543590039 [62,] 0.281104362 0.526211711 [63,] -0.403106245 0.281104362 [64,] 0.583350368 -0.403106245 [65,] -0.160758639 0.583350368 [66,] 0.338623992 -0.160758639 [67,] -0.382533860 0.338623992 [68,] -0.375903522 -0.382533860 [69,] 0.062144545 -0.375903522 [70,] 0.291379504 0.062144545 [71,] -0.122294927 0.291379504 [72,] -0.017530255 -0.122294927 [73,] 0.198577733 -0.017530255 [74,] 0.230764908 0.198577733 [75,] -0.499199242 0.230764908 [76,] -0.462814661 -0.499199242 [77,] 0.038023109 -0.462814661 [78,] -0.209161965 0.038023109 [79,] -0.488960024 -0.209161965 [80,] -0.407165661 -0.488960024 [81,] -0.469295565 -0.407165661 [82,] 0.235989898 -0.469295565 [83,] -0.136514300 0.235989898 [84,] 0.138674684 -0.136514300 [85,] -0.027631483 0.138674684 [86,] -0.499178124 -0.027631483 [87,] 0.152853602 -0.499178124 [88,] 0.008973500 0.152853602 [89,] -0.472890120 0.008973500 [90,] -0.216704114 -0.472890120 [91,] 0.316397492 -0.216704114 [92,] -0.200163633 0.316397492 [93,] -0.161626808 -0.200163633 [94,] -0.409890697 -0.161626808 [95,] 0.108640980 -0.409890697 [96,] 0.245630133 0.108640980 [97,] 0.410357800 0.245630133 [98,] 0.257104088 0.410357800 [99,] 0.237885174 0.257104088 [100,] -0.192079562 0.237885174 [101,] 0.156977966 -0.192079562 [102,] 0.127886119 0.156977966 [103,] 0.329103397 0.127886119 [104,] -0.384110214 0.329103397 [105,] 0.211997396 -0.384110214 [106,] -0.328319068 0.211997396 [107,] -0.284064762 -0.328319068 [108,] 0.303225928 -0.284064762 [109,] 0.059966229 0.303225928 [110,] 0.116566490 0.059966229 [111,] -0.496866048 0.116566490 [112,] 0.482511436 -0.496866048 [113,] -0.447686814 0.482511436 [114,] 0.385932502 -0.447686814 [115,] 0.097635338 0.385932502 [116,] 0.120967466 0.097635338 [117,] -0.674547630 0.120967466 [118,] -0.194739117 -0.674547630 [119,] 0.137405517 -0.194739117 [120,] -0.214708288 0.137405517 [121,] 0.052805789 -0.214708288 [122,] -0.481128463 0.052805789 [123,] -0.033981684 -0.481128463 [124,] -0.167612528 -0.033981684 [125,] 0.319038430 -0.167612528 [126,] -0.211142462 0.319038430 [127,] 0.056076602 -0.211142462 [128,] 0.076229209 0.056076602 [129,] 0.565738908 0.076229209 [130,] 0.343336450 0.565738908 [131,] -0.090621384 0.343336450 [132,] 0.020557873 -0.090621384 [133,] -0.303201623 0.020557873 [134,] 0.548857455 -0.303201623 [135,] 0.257027426 0.548857455 [136,] 0.243091527 0.257027426 [137,] -0.424443057 0.243091527 [138,] 0.315251691 -0.424443057 [139,] -0.232483655 0.315251691 [140,] -0.376363756 -0.232483655 [141,] -0.404814041 -0.376363756 [142,] -0.078370701 -0.404814041 [143,] -0.025770331 -0.078370701 [144,] 0.300938427 -0.025770331 [145,] -0.355916442 0.300938427 [146,] 0.086287076 -0.355916442 [147,] -0.177532065 0.086287076 [148,] 0.127645336 -0.177532065 [149,] -0.173762613 0.127645336 [150,] 0.049771052 -0.173762613 [151,] -0.145589655 0.049771052 [152,] -0.114108977 -0.145589655 [153,] -0.301969490 -0.114108977 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 0.118208345 0.050526276 2 0.074511409 0.118208345 3 0.152682204 0.074511409 4 0.198209891 0.152682204 5 -0.070915247 0.198209891 6 0.413878481 -0.070915247 7 0.442296110 0.413878481 8 -0.292335263 0.442296110 9 -0.032172346 -0.292335263 10 -0.029794958 -0.032172346 11 -0.030966621 -0.029794958 12 -0.219777385 -0.030966621 13 -0.410078360 -0.219777385 14 -0.341041437 -0.410078360 15 -0.594248587 -0.341041437 16 -0.260772080 -0.594248587 17 0.210599664 -0.260772080 18 -0.259812619 0.210599664 19 -0.438169729 -0.259812619 20 0.081444770 -0.438169729 21 0.367087220 0.081444770 22 0.372734833 0.367087220 23 0.366117720 0.372734833 24 0.424110963 0.366117720 25 -0.548284985 0.424110963 26 -0.006383875 -0.548284985 27 0.184899542 -0.006383875 28 -0.227420036 0.184899542 29 0.240370095 -0.227420036 30 0.557335801 0.240370095 31 0.552219789 0.557335801 32 0.553537336 0.552219789 33 -0.171817923 0.553537336 34 -0.152436938 -0.171817923 35 0.100981031 -0.152436938 36 0.031821089 0.100981031 37 -0.165043505 0.031821089 38 0.334313358 -0.165043505 39 -0.240444765 0.334313358 40 0.474411824 -0.240444765 41 0.535702288 0.474411824 42 -0.171910314 0.535702288 43 -0.373358032 -0.171910314 44 0.349721624 -0.373358032 45 -0.158658578 0.349721624 46 0.577826874 -0.158658578 47 0.275686660 0.577826874 48 0.161019438 0.275686660 49 -0.018741274 0.161019438 50 -0.290381391 -0.018741274 51 -0.016057431 -0.290381391 52 -0.238041609 -0.016057431 53 0.277631327 -0.238041609 54 0.043259237 0.277631327 55 0.027203658 0.043259237 56 0.352933707 0.027203658 57 0.288379529 0.352933707 58 0.112420925 0.288379529 59 -0.117686035 0.112420925 60 -0.543590039 -0.117686035 61 0.526211711 -0.543590039 62 0.281104362 0.526211711 63 -0.403106245 0.281104362 64 0.583350368 -0.403106245 65 -0.160758639 0.583350368 66 0.338623992 -0.160758639 67 -0.382533860 0.338623992 68 -0.375903522 -0.382533860 69 0.062144545 -0.375903522 70 0.291379504 0.062144545 71 -0.122294927 0.291379504 72 -0.017530255 -0.122294927 73 0.198577733 -0.017530255 74 0.230764908 0.198577733 75 -0.499199242 0.230764908 76 -0.462814661 -0.499199242 77 0.038023109 -0.462814661 78 -0.209161965 0.038023109 79 -0.488960024 -0.209161965 80 -0.407165661 -0.488960024 81 -0.469295565 -0.407165661 82 0.235989898 -0.469295565 83 -0.136514300 0.235989898 84 0.138674684 -0.136514300 85 -0.027631483 0.138674684 86 -0.499178124 -0.027631483 87 0.152853602 -0.499178124 88 0.008973500 0.152853602 89 -0.472890120 0.008973500 90 -0.216704114 -0.472890120 91 0.316397492 -0.216704114 92 -0.200163633 0.316397492 93 -0.161626808 -0.200163633 94 -0.409890697 -0.161626808 95 0.108640980 -0.409890697 96 0.245630133 0.108640980 97 0.410357800 0.245630133 98 0.257104088 0.410357800 99 0.237885174 0.257104088 100 -0.192079562 0.237885174 101 0.156977966 -0.192079562 102 0.127886119 0.156977966 103 0.329103397 0.127886119 104 -0.384110214 0.329103397 105 0.211997396 -0.384110214 106 -0.328319068 0.211997396 107 -0.284064762 -0.328319068 108 0.303225928 -0.284064762 109 0.059966229 0.303225928 110 0.116566490 0.059966229 111 -0.496866048 0.116566490 112 0.482511436 -0.496866048 113 -0.447686814 0.482511436 114 0.385932502 -0.447686814 115 0.097635338 0.385932502 116 0.120967466 0.097635338 117 -0.674547630 0.120967466 118 -0.194739117 -0.674547630 119 0.137405517 -0.194739117 120 -0.214708288 0.137405517 121 0.052805789 -0.214708288 122 -0.481128463 0.052805789 123 -0.033981684 -0.481128463 124 -0.167612528 -0.033981684 125 0.319038430 -0.167612528 126 -0.211142462 0.319038430 127 0.056076602 -0.211142462 128 0.076229209 0.056076602 129 0.565738908 0.076229209 130 0.343336450 0.565738908 131 -0.090621384 0.343336450 132 0.020557873 -0.090621384 133 -0.303201623 0.020557873 134 0.548857455 -0.303201623 135 0.257027426 0.548857455 136 0.243091527 0.257027426 137 -0.424443057 0.243091527 138 0.315251691 -0.424443057 139 -0.232483655 0.315251691 140 -0.376363756 -0.232483655 141 -0.404814041 -0.376363756 142 -0.078370701 -0.404814041 143 -0.025770331 -0.078370701 144 0.300938427 -0.025770331 145 -0.355916442 0.300938427 146 0.086287076 -0.355916442 147 -0.177532065 0.086287076 148 0.127645336 -0.177532065 149 -0.173762613 0.127645336 150 0.049771052 -0.173762613 151 -0.145589655 0.049771052 152 -0.114108977 -0.145589655 153 -0.301969490 -0.114108977 > 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/7lysq1353436295.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/8d85y1353436295.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/9en5b1353436295.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/1093bq1353436295.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11hmxl1353436295.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12k5or1353436295.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13rj181353436295.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14xrvi1353436295.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/15n3gb1353436295.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/16r6031353436295.tab") + } > > try(system("convert tmp/1w0xs1353436295.ps tmp/1w0xs1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/25fgd1353436295.ps tmp/25fgd1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/388781353436295.ps tmp/388781353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/4u0oq1353436295.ps tmp/4u0oq1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/52gtp1353436295.ps tmp/52gtp1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/6dwe61353436295.ps tmp/6dwe61353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/7lysq1353436295.ps tmp/7lysq1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/8d85y1353436295.ps tmp/8d85y1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/9en5b1353436295.ps tmp/9en5b1353436295.png",intern=TRUE)) character(0) > try(system("convert tmp/1093bq1353436295.ps tmp/1093bq1353436295.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 8.645 1.186 9.826