R version 2.12.0 (2010-10-15) Copyright (C) 2010 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(26 + ,21 + ,21 + ,23 + ,17 + ,23 + ,4 + ,20 + ,16 + ,15 + ,24 + ,17 + ,20 + ,4 + ,19 + ,19 + ,18 + ,22 + ,18 + ,20 + ,6 + ,19 + ,18 + ,11 + ,20 + ,21 + ,21 + ,8 + ,20 + ,16 + ,8 + ,24 + ,20 + ,24 + ,8 + ,25 + ,23 + ,19 + ,27 + ,28 + ,22 + ,4 + ,25 + ,17 + ,4 + ,28 + ,19 + ,23 + ,4 + ,22 + ,12 + ,20 + ,27 + ,22 + ,20 + ,8 + ,26 + ,19 + ,16 + ,24 + ,16 + ,25 + ,5 + ,22 + ,16 + ,14 + ,23 + ,18 + ,23 + ,4 + ,17 + ,19 + ,10 + ,24 + ,25 + ,27 + ,4 + ,22 + ,20 + ,13 + ,27 + ,17 + ,27 + ,4 + ,19 + ,13 + ,14 + ,27 + ,14 + ,22 + ,4 + ,24 + ,20 + ,8 + ,28 + ,11 + ,24 + ,4 + ,26 + ,27 + ,23 + ,27 + ,27 + ,25 + ,4 + ,21 + ,17 + ,11 + ,23 + ,20 + ,22 + ,8 + ,13 + ,8 + ,9 + ,24 + ,22 + ,28 + ,4 + ,26 + ,25 + ,24 + ,28 + ,22 + ,28 + ,4 + ,20 + ,26 + ,5 + ,27 + ,21 + ,27 + ,4 + ,22 + ,13 + ,15 + ,25 + ,23 + ,25 + ,8 + ,14 + ,19 + ,5 + ,19 + ,17 + ,16 + ,4 + ,21 + ,15 + ,19 + ,24 + ,24 + ,28 + ,7 + ,7 + ,5 + ,6 + ,20 + ,14 + ,21 + ,4 + ,23 + ,16 + ,13 + ,28 + ,17 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,4 + ,21 + ,17 + ,13 + ,23 + ,22 + ,26 + ,8 + ,25 + ,22 + ,15 + ,25 + ,16 + ,21 + ,6 + ,22 + ,20 + ,18 + ,23 + ,19 + ,22 + ,4 + ,21 + ,20 + ,18 + ,22 + ,20 + ,16 + ,9 + ,21 + ,19 + ,12 + ,22 + ,19 + ,26 + ,5 + ,22 + ,18 + ,12 + ,25 + ,23 + ,28 + ,6 + ,27 + ,22 + ,20 + ,25 + ,24 + ,18 + ,4 + ,24 + ,20 + ,12 + ,28 + ,25 + ,25 + ,4 + ,24 + ,22 + ,16 + ,28 + ,21 + ,23 + ,4 + ,21 + ,18 + ,16 + ,20 + ,21 + ,21 + ,5 + ,18 + ,16 + ,18 + ,25 + ,23 + ,20 + ,6 + ,16 + ,16 + ,16 + ,19 + ,27 + ,25 + ,16 + ,22 + ,16 + ,13 + ,25 + ,23 + ,22 + ,6 + ,20 + ,16 + ,17 + ,22 + ,18 + ,21 + ,6 + ,18 + ,17 + ,13 + ,18 + ,16 + ,16 + ,4 + ,20 + ,18 + ,17 + ,20 + ,16 + ,18 + ,4) + ,dim=c(7 + ,162) + ,dimnames=list(c('I1' + ,'I2' + ,'I3' + ,'E1' + ,'E2' + ,'E3' + ,'A') + ,1:162)) > y <- array(NA,dim=c(7,162),dimnames=list(c('I1','I2','I3','E1','E2','E3','A'),1:162)) > 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 = '6' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > 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 E3 I1 I2 I3 E1 E2 A 1 23 26 21 21 23 17 4 2 20 20 16 15 24 17 4 3 20 19 19 18 22 18 6 4 21 19 18 11 20 21 8 5 24 20 16 8 24 20 8 6 22 25 23 19 27 28 4 7 23 25 17 4 28 19 4 8 20 22 12 20 27 22 8 9 25 26 19 16 24 16 5 10 23 22 16 14 23 18 4 11 27 17 19 10 24 25 4 12 27 22 20 13 27 17 4 13 22 19 13 14 27 14 4 14 24 24 20 8 28 11 4 15 25 26 27 23 27 27 4 16 22 21 17 11 23 20 8 17 28 13 8 9 24 22 4 18 28 26 25 24 28 22 4 19 27 20 26 5 27 21 4 20 25 22 13 15 25 23 8 21 16 14 19 5 19 17 4 22 28 21 15 19 24 24 7 23 21 7 5 6 20 14 4 24 24 23 16 13 28 17 4 25 27 17 14 11 26 23 5 26 14 25 24 17 23 24 4 27 14 25 24 17 23 24 4 28 27 19 9 5 20 8 4 29 20 20 19 9 11 22 4 30 21 23 19 15 24 23 4 31 22 22 25 17 25 25 4 32 21 22 19 17 23 21 4 33 12 21 18 20 18 24 15 34 20 15 15 12 20 15 10 35 24 20 12 7 20 22 4 36 19 22 21 16 24 21 8 37 28 18 12 7 23 25 4 38 23 20 15 14 25 16 4 39 27 28 28 24 28 28 4 40 22 22 25 15 26 23 4 41 27 18 19 15 26 21 7 42 26 23 20 10 23 21 4 43 22 20 24 14 22 26 6 44 21 25 26 18 24 22 5 45 19 26 25 12 21 21 4 46 24 15 12 9 20 18 16 47 19 17 12 9 22 12 5 48 26 23 15 8 20 25 12 49 22 21 17 18 25 17 6 50 28 13 14 10 20 24 9 51 21 18 16 17 22 15 9 52 23 19 11 14 23 13 4 53 28 22 20 16 25 26 5 54 10 16 11 10 23 16 4 55 24 24 22 19 23 24 4 56 21 18 20 10 22 21 5 57 21 20 19 14 24 20 4 58 24 24 17 10 25 14 4 59 24 14 21 4 21 25 4 60 25 22 23 19 12 25 5 61 25 24 18 9 17 20 4 62 23 18 17 12 20 22 6 63 21 21 27 16 23 20 4 64 16 23 25 11 23 26 4 65 17 17 19 18 20 18 18 66 25 22 22 11 28 22 4 67 24 24 24 24 24 24 6 68 23 21 20 17 24 17 4 69 25 22 19 18 24 24 4 70 23 16 11 9 24 20 5 71 28 21 22 19 28 19 4 72 26 23 22 18 25 20 4 73 22 22 16 12 21 15 5 74 19 24 20 23 25 23 10 75 26 24 24 22 25 26 5 76 18 16 16 14 18 22 8 77 18 16 16 14 17 20 8 78 25 21 22 16 26 24 5 79 27 26 24 23 28 26 4 80 12 15 16 7 21 21 4 81 15 25 27 10 27 25 4 82 21 18 11 12 22 13 5 83 23 23 21 12 21 20 4 84 22 20 20 12 25 22 4 85 21 17 20 17 22 23 8 86 24 25 27 21 23 28 4 87 27 24 20 16 26 22 5 88 22 17 12 11 19 20 14 89 28 19 8 14 25 6 8 90 26 20 21 13 21 21 8 91 10 15 18 9 13 20 4 92 19 27 24 19 24 18 4 93 22 22 16 13 25 23 6 94 21 23 18 19 26 20 4 95 24 16 20 13 25 24 7 96 25 19 20 13 25 22 7 97 21 25 19 13 22 21 4 98 20 19 17 14 21 18 6 99 21 19 16 12 23 21 4 100 24 26 26 22 25 23 7 101 23 21 15 11 24 23 4 102 18 20 22 5 21 15 4 103 24 24 17 18 21 21 8 104 24 22 23 19 25 24 4 105 19 20 21 14 22 23 4 106 20 18 19 15 20 21 10 107 18 18 14 12 20 21 8 108 20 24 17 19 23 20 6 109 27 24 12 15 28 11 4 110 23 22 24 17 23 22 4 111 26 23 18 8 28 27 4 112 23 22 20 10 24 25 5 113 17 20 16 12 18 18 4 114 21 18 20 12 20 20 6 115 25 25 22 20 28 24 4 116 23 18 12 12 21 10 5 117 27 16 16 12 21 27 7 118 24 20 17 14 25 21 8 119 20 19 22 6 19 21 5 120 27 15 12 10 18 18 8 121 21 19 14 18 21 15 10 122 24 19 23 18 22 24 8 123 21 16 15 7 24 22 5 124 15 17 17 18 15 14 12 125 25 28 28 9 28 28 4 126 25 23 20 17 26 18 5 127 22 25 23 22 23 26 4 128 24 20 13 11 26 17 6 129 21 17 18 15 20 19 4 130 22 23 23 17 22 22 4 131 23 16 19 15 20 18 7 132 22 23 23 22 23 24 7 133 20 11 12 9 22 15 10 134 23 18 16 13 24 18 4 135 25 24 23 20 23 26 5 136 23 23 13 14 22 11 8 137 22 21 22 14 26 26 11 138 25 16 18 12 23 21 7 139 26 24 23 20 27 23 4 140 22 23 20 20 23 23 8 141 24 18 10 8 21 15 6 142 24 20 17 17 26 22 7 143 25 9 18 9 23 26 5 144 20 24 15 18 21 16 4 145 26 25 23 22 27 20 8 146 21 20 17 10 19 18 4 147 26 21 17 13 23 22 8 148 21 25 22 15 25 16 6 149 22 22 20 18 23 19 4 150 16 21 20 18 22 20 9 151 26 21 19 12 22 19 5 152 28 22 18 12 25 23 6 153 18 27 22 20 25 24 4 154 25 24 20 12 28 25 4 155 23 24 22 16 28 21 4 156 21 21 18 16 20 21 5 157 20 18 16 18 25 23 6 158 25 16 16 16 19 27 16 159 22 22 16 13 25 23 6 160 21 20 16 17 22 18 6 161 16 18 17 13 18 16 4 162 18 20 18 17 20 16 4 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) I1 I2 I3 E1 E2 10.3288058 0.0662314 -0.2186223 -0.0256581 0.4893894 0.1868872 A -0.0001391 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -12.9727 -1.5603 0.1779 2.1231 8.1858 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 10.3288058 2.5742609 4.012 9.33e-05 *** I1 0.0662314 0.1051989 0.630 0.5299 I2 -0.2186223 0.0890890 -2.454 0.0152 * I3 -0.0256581 0.0710050 -0.361 0.7183 E1 0.4893894 0.0940830 5.202 6.17e-07 *** E2 0.1868872 0.0765965 2.440 0.0158 * A -0.0001391 0.1124078 -0.001 0.9990 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.279 on 155 degrees of freedom Multiple R-squared: 0.2188, Adjusted R-squared: 0.1886 F-statistic: 7.236 on 6 and 155 DF, p-value: 7.983e-07 > 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,] 0.1373702 2.747404e-01 8.626298e-01 [2,] 0.4315744 8.631488e-01 5.684256e-01 [3,] 0.3953931 7.907862e-01 6.046069e-01 [4,] 0.2800744 5.601489e-01 7.199256e-01 [5,] 0.2151573 4.303147e-01 7.848427e-01 [6,] 0.1396420 2.792840e-01 8.603580e-01 [7,] 0.0856540 1.713080e-01 9.143460e-01 [8,] 0.1391739 2.783479e-01 8.608261e-01 [9,] 0.2051648 4.103296e-01 7.948352e-01 [10,] 0.1531946 3.063893e-01 8.468054e-01 [11,] 0.1609924 3.219848e-01 8.390076e-01 [12,] 0.3414608 6.829215e-01 6.585392e-01 [13,] 0.4111524 8.223048e-01 5.888476e-01 [14,] 0.3374315 6.748629e-01 6.625685e-01 [15,] 0.2750724 5.501449e-01 7.249276e-01 [16,] 0.2288535 4.577069e-01 7.711465e-01 [17,] 0.5688987 8.622026e-01 4.311013e-01 [18,] 0.7365578 5.268843e-01 2.634422e-01 [19,] 0.8847650 2.304700e-01 1.152350e-01 [20,] 0.9047547 1.904906e-01 9.524530e-02 [21,] 0.8849841 2.300319e-01 1.150159e-01 [22,] 0.8525333 2.949335e-01 1.474667e-01 [23,] 0.8183616 3.632768e-01 1.816384e-01 [24,] 0.8866753 2.266494e-01 1.133247e-01 [25,] 0.8591181 2.817637e-01 1.408819e-01 [26,] 0.8263773 3.472454e-01 1.736227e-01 [27,] 0.8050331 3.899338e-01 1.949669e-01 [28,] 0.7942782 4.114437e-01 2.057218e-01 [29,] 0.7540681 4.918638e-01 2.459319e-01 [30,] 0.7647925 4.704150e-01 2.352075e-01 [31,] 0.7227153 5.545694e-01 2.772847e-01 [32,] 0.7466354 5.067292e-01 2.533646e-01 [33,] 0.7465935 5.068129e-01 2.534065e-01 [34,] 0.7052502 5.894996e-01 2.947498e-01 [35,] 0.6583929 6.832142e-01 3.416071e-01 [36,] 0.6185680 7.628639e-01 3.814320e-01 [37,] 0.6567595 6.864810e-01 3.432405e-01 [38,] 0.6502302 6.995396e-01 3.497698e-01 [39,] 0.6550121 6.899757e-01 3.449879e-01 [40,] 0.6077854 7.844292e-01 3.922146e-01 [41,] 0.7007125 5.985749e-01 2.992875e-01 [42,] 0.6581198 6.837604e-01 3.418802e-01 [43,] 0.6126704 7.746592e-01 3.873296e-01 [44,] 0.6292506 7.414988e-01 3.707494e-01 [45,] 0.9812748 3.745035e-02 1.872518e-02 [46,] 0.9771886 4.562272e-02 2.281136e-02 [47,] 0.9703117 5.937660e-02 2.968830e-02 [48,] 0.9632769 7.344630e-02 3.672315e-02 [49,] 0.9541483 9.170337e-02 4.585168e-02 [50,] 0.9487560 1.024880e-01 5.124398e-02 [51,] 0.9879276 2.414470e-02 1.207235e-02 [52,] 0.9933846 1.323078e-02 6.615390e-03 [53,] 0.9917641 1.647189e-02 8.235944e-03 [54,] 0.9887839 2.243228e-02 1.121614e-02 [55,] 0.9952658 9.468322e-03 4.734161e-03 [56,] 0.9954332 9.133684e-03 4.566842e-03 [57,] 0.9936390 1.272194e-02 6.360969e-03 [58,] 0.9920865 1.582694e-02 7.913469e-03 [59,] 0.9895655 2.086906e-02 1.043453e-02 [60,] 0.9870358 2.592845e-02 1.296422e-02 [61,] 0.9832299 3.354027e-02 1.677013e-02 [62,] 0.9859555 2.808903e-02 1.404452e-02 [63,] 0.9862752 2.744954e-02 1.372477e-02 [64,] 0.9823382 3.532358e-02 1.766179e-02 [65,] 0.9882566 2.348686e-02 1.174343e-02 [66,] 0.9871875 2.562492e-02 1.281246e-02 [67,] 0.9853140 2.937198e-02 1.468599e-02 [68,] 0.9815176 3.696477e-02 1.848239e-02 [69,] 0.9764847 4.703054e-02 2.351527e-02 [70,] 0.9725673 5.486539e-02 2.743269e-02 [71,] 0.9977541 4.491724e-03 2.245862e-03 [72,] 0.9998557 2.885989e-04 1.442995e-04 [73,] 0.9997827 4.346283e-04 2.173141e-04 [74,] 0.9997438 5.124814e-04 2.562407e-04 [75,] 0.9996358 7.283374e-04 3.641687e-04 [76,] 0.9994712 1.057562e-03 5.287810e-04 [77,] 0.9994070 1.185917e-03 5.929585e-04 [78,] 0.9993978 1.204305e-03 6.021524e-04 [79,] 0.9991318 1.736303e-03 8.681517e-04 [80,] 0.9994207 1.158514e-03 5.792569e-04 [81,] 0.9997068 5.863907e-04 2.931953e-04 [82,] 0.9999503 9.931678e-05 4.965839e-05 [83,] 0.9999375 1.249036e-04 6.245180e-05 [84,] 0.9999245 1.510081e-04 7.550404e-05 [85,] 0.9999168 1.664942e-04 8.324708e-05 [86,] 0.9998677 2.646733e-04 1.323366e-04 [87,] 0.9998083 3.834066e-04 1.917033e-04 [88,] 0.9997054 5.891586e-04 2.945793e-04 [89,] 0.9995656 8.687304e-04 4.343652e-04 [90,] 0.9994315 1.136966e-03 5.684832e-04 [91,] 0.9992349 1.530214e-03 7.651071e-04 [92,] 0.9988966 2.206812e-03 1.103406e-03 [93,] 0.9986208 2.758354e-03 1.379177e-03 [94,] 0.9984213 3.157407e-03 1.578703e-03 [95,] 0.9977460 4.507925e-03 2.253963e-03 [96,] 0.9976260 4.747999e-03 2.374000e-03 [97,] 0.9966470 6.706044e-03 3.353022e-03 [98,] 0.9975962 4.807591e-03 2.403795e-03 [99,] 0.9972041 5.591791e-03 2.795896e-03 [100,] 0.9971079 5.784168e-03 2.892084e-03 [101,] 0.9960974 7.805246e-03 3.902623e-03 [102,] 0.9943963 1.120733e-02 5.603664e-03 [103,] 0.9922378 1.552436e-02 7.762179e-03 [104,] 0.9929566 1.408677e-02 7.043384e-03 [105,] 0.9898507 2.029852e-02 1.014926e-02 [106,] 0.9858451 2.830986e-02 1.415493e-02 [107,] 0.9840879 3.182427e-02 1.591214e-02 [108,] 0.9843883 3.122349e-02 1.561175e-02 [109,] 0.9779219 4.415627e-02 2.207814e-02 [110,] 0.9719509 5.609823e-02 2.804911e-02 [111,] 0.9895882 2.082367e-02 1.041183e-02 [112,] 0.9848435 3.031306e-02 1.515653e-02 [113,] 0.9819827 3.603462e-02 1.801731e-02 [114,] 0.9844008 3.119836e-02 1.559918e-02 [115,] 0.9826925 3.461501e-02 1.730751e-02 [116,] 0.9781542 4.369150e-02 2.184575e-02 [117,] 0.9746865 5.062706e-02 2.531353e-02 [118,] 0.9639258 7.214847e-02 3.607424e-02 [119,] 0.9492880 1.014240e-01 5.071199e-02 [120,] 0.9306285 1.387430e-01 6.937149e-02 [121,] 0.9064196 1.871607e-01 9.358036e-02 [122,] 0.9009741 1.980517e-01 9.902587e-02 [123,] 0.8705097 2.589805e-01 1.294903e-01 [124,] 0.8641131 2.717737e-01 1.358869e-01 [125,] 0.8225230 3.549541e-01 1.774770e-01 [126,] 0.8540323 2.919354e-01 1.459677e-01 [127,] 0.8110405 3.779191e-01 1.889595e-01 [128,] 0.8620814 2.758373e-01 1.379186e-01 [129,] 0.8230029 3.539941e-01 1.769971e-01 [130,] 0.8592883 2.814235e-01 1.407117e-01 [131,] 0.8150263 3.699474e-01 1.849737e-01 [132,] 0.7575537 4.848927e-01 2.424463e-01 [133,] 0.6864272 6.271457e-01 3.135728e-01 [134,] 0.6229676 7.540648e-01 3.770324e-01 [135,] 0.5499877 9.000246e-01 4.500123e-01 [136,] 0.6948644 6.102712e-01 3.051356e-01 [137,] 0.6323010 7.353981e-01 3.676990e-01 [138,] 0.5617397 8.765207e-01 4.382603e-01 [139,] 0.4528993 9.057985e-01 5.471007e-01 [140,] 0.4775096 9.550191e-01 5.224904e-01 [141,] 0.6428225 7.143550e-01 3.571775e-01 [142,] 0.6173665 7.652670e-01 3.826335e-01 [143,] 0.6893578 6.212843e-01 3.106422e-01 > postscript(file="/var/www/rcomp/tmp/1n0wh1321980156.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2olgx1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3f20n1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/413b81321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5s28v1321980156.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 = 162 Frequency = 1 1 2 3 4 5 1.646583e+00 -2.692478e+00 -1.101236e+00 -8.106931e-02 5.678100e-01 6 7 8 9 10 -2.914574e+00 -2.418584e+00 -5.973188e+00 2.778685e+00 4.519032e-01 11 12 13 14 15 3.538695e+00 3.530064e+00 -2.215278e+00 9.012449e-01 1.183203e+00 16 17 18 19 20 -7.134355e-01 2.933778e+00 4.216663e+00 4.021448e+00 -9.096453e-02 21 22 23 24 25 -3.448856e+00 3.817507e+00 -9.490187e-01 -9.000461e-01 1.866376e+00 26 27 28 29 30 -8.042161e+00 -8.042161e+00 6.226359e+00 3.237067e+00 -2.356629e+00 31 32 33 34 35 -7.905109e-01 -1.375917e+00 -8.563519e+00 -3.247511e-01 1.250889e+00 36 37 38 39 40 -3.453164e+00 3.354522e+00 -2.392607e-01 2.618744e+00 -9.574420e-01 41 42 43 44 45 3.369941e+00 3.596867e+00 3.279145e-01 -6.947346e-01 -1.478620e+00 46 47 48 49 50 2.382580e+00 -2.608868e+00 3.174171e+00 -9.522242e-01 5.855649e+00 51 52 53 54 55 -1.554505e-01 4.919219e-01 3.903971e+00 -1.297268e+01 1.638141e+00 56 57 58 59 60 -5.824472e-01 -1.622931e+00 1.204201e+00 2.488854e+00 8.185762e+00 61 62 63 64 65 5.190957e+00 1.605032e+00 6.005221e-01 -6.218799e+00 -2.988325e+00 66 67 68 69 70 4.921671e-01 1.714565e+00 1.167096e+00 1.599690e+00 -1.235135e+00 71 72 73 74 75 4.324325e+00 3.447485e+00 9.401666e-01 -4.487528e+00 2.799946e+00 76 77 78 79 80 -2.450754e+00 -1.587590e+00 1.291832e+00 2.224834e+00 -9.845966e+00 81 82 83 84 85 -8.710346e+00 -1.003634e+00 2.032472e+00 -1.318788e+00 -7.099667e-01 86 87 88 89 90 1.968789e+00 3.029668e+00 4.167704e-01 5.166043e+00 5.070493e+00 91 92 93 94 95 -7.255403e+00 -2.491374e+00 -2.486692e+00 -2.890736e+00 5.984380e-01 96 97 98 99 100 1.773518e+00 -1.187854e+00 -1.151723e+00 -1.961380e+00 1.665668e+00 101 102 103 104 105 -1.201288e+00 -1.795382e+00 2.059368e+00 1.010448e+00 -2.767569e+00 106 107 108 109 110 -6.933052e-01 -3.863669e+00 -2.707143e+00 2.331873e+00 1.530307e+00 111 112 113 114 115 -4.599641e-01 -5.737007e-01 -3.020003e+00 6.346740e-01 1.506210e-01 116 117 118 119 120 2.265039e+00 4.095186e+00 2.641041e-01 1.541020e-01 6.385905e+00 121 122 123 124 125 -1.437401e-01 2.652208e+00 -2.785736e+00 -2.231908e+00 2.338731e-01 126 127 128 129 130 1.869106e+00 -5.062679e-01 -4.294781e-01 5.272440e-01 7.348429e-01 131 132 133 134 135 2.999402e+00 3.865257e-04 -1.771445e+00 2.017814e-01 2.508786e+00 136 137 138 139 140 1.527961e+00 -2.132424e+00 2.674976e+00 2.111751e+00 -5.197704e-01 141 142 143 144 145 1.790865e+00 -3.353374e-01 2.126907e+00 -1.443996e+00 2.658054e+00 146 147 148 149 150 6.579137e-01 2.964106e+00 -1.014125e+00 2.421376e-01 -5.388433e+00 151 152 153 154 155 4.425327e+00 3.924895e+00 -5.513674e+00 -6.125441e-01 -1.325118e+00 156 157 158 159 160 -8.565897e-02 -4.093476e+00 3.177849e+00 -2.486692e+00 -8.489922e-01 161 162 -3.269485e+00 -2.059472e+00 > postscript(file="/var/www/rcomp/tmp/6w4hn1321980156.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 = 162 Frequency = 1 lag(myerror, k = 1) myerror 0 1.646583e+00 NA 1 -2.692478e+00 1.646583e+00 2 -1.101236e+00 -2.692478e+00 3 -8.106931e-02 -1.101236e+00 4 5.678100e-01 -8.106931e-02 5 -2.914574e+00 5.678100e-01 6 -2.418584e+00 -2.914574e+00 7 -5.973188e+00 -2.418584e+00 8 2.778685e+00 -5.973188e+00 9 4.519032e-01 2.778685e+00 10 3.538695e+00 4.519032e-01 11 3.530064e+00 3.538695e+00 12 -2.215278e+00 3.530064e+00 13 9.012449e-01 -2.215278e+00 14 1.183203e+00 9.012449e-01 15 -7.134355e-01 1.183203e+00 16 2.933778e+00 -7.134355e-01 17 4.216663e+00 2.933778e+00 18 4.021448e+00 4.216663e+00 19 -9.096453e-02 4.021448e+00 20 -3.448856e+00 -9.096453e-02 21 3.817507e+00 -3.448856e+00 22 -9.490187e-01 3.817507e+00 23 -9.000461e-01 -9.490187e-01 24 1.866376e+00 -9.000461e-01 25 -8.042161e+00 1.866376e+00 26 -8.042161e+00 -8.042161e+00 27 6.226359e+00 -8.042161e+00 28 3.237067e+00 6.226359e+00 29 -2.356629e+00 3.237067e+00 30 -7.905109e-01 -2.356629e+00 31 -1.375917e+00 -7.905109e-01 32 -8.563519e+00 -1.375917e+00 33 -3.247511e-01 -8.563519e+00 34 1.250889e+00 -3.247511e-01 35 -3.453164e+00 1.250889e+00 36 3.354522e+00 -3.453164e+00 37 -2.392607e-01 3.354522e+00 38 2.618744e+00 -2.392607e-01 39 -9.574420e-01 2.618744e+00 40 3.369941e+00 -9.574420e-01 41 3.596867e+00 3.369941e+00 42 3.279145e-01 3.596867e+00 43 -6.947346e-01 3.279145e-01 44 -1.478620e+00 -6.947346e-01 45 2.382580e+00 -1.478620e+00 46 -2.608868e+00 2.382580e+00 47 3.174171e+00 -2.608868e+00 48 -9.522242e-01 3.174171e+00 49 5.855649e+00 -9.522242e-01 50 -1.554505e-01 5.855649e+00 51 4.919219e-01 -1.554505e-01 52 3.903971e+00 4.919219e-01 53 -1.297268e+01 3.903971e+00 54 1.638141e+00 -1.297268e+01 55 -5.824472e-01 1.638141e+00 56 -1.622931e+00 -5.824472e-01 57 1.204201e+00 -1.622931e+00 58 2.488854e+00 1.204201e+00 59 8.185762e+00 2.488854e+00 60 5.190957e+00 8.185762e+00 61 1.605032e+00 5.190957e+00 62 6.005221e-01 1.605032e+00 63 -6.218799e+00 6.005221e-01 64 -2.988325e+00 -6.218799e+00 65 4.921671e-01 -2.988325e+00 66 1.714565e+00 4.921671e-01 67 1.167096e+00 1.714565e+00 68 1.599690e+00 1.167096e+00 69 -1.235135e+00 1.599690e+00 70 4.324325e+00 -1.235135e+00 71 3.447485e+00 4.324325e+00 72 9.401666e-01 3.447485e+00 73 -4.487528e+00 9.401666e-01 74 2.799946e+00 -4.487528e+00 75 -2.450754e+00 2.799946e+00 76 -1.587590e+00 -2.450754e+00 77 1.291832e+00 -1.587590e+00 78 2.224834e+00 1.291832e+00 79 -9.845966e+00 2.224834e+00 80 -8.710346e+00 -9.845966e+00 81 -1.003634e+00 -8.710346e+00 82 2.032472e+00 -1.003634e+00 83 -1.318788e+00 2.032472e+00 84 -7.099667e-01 -1.318788e+00 85 1.968789e+00 -7.099667e-01 86 3.029668e+00 1.968789e+00 87 4.167704e-01 3.029668e+00 88 5.166043e+00 4.167704e-01 89 5.070493e+00 5.166043e+00 90 -7.255403e+00 5.070493e+00 91 -2.491374e+00 -7.255403e+00 92 -2.486692e+00 -2.491374e+00 93 -2.890736e+00 -2.486692e+00 94 5.984380e-01 -2.890736e+00 95 1.773518e+00 5.984380e-01 96 -1.187854e+00 1.773518e+00 97 -1.151723e+00 -1.187854e+00 98 -1.961380e+00 -1.151723e+00 99 1.665668e+00 -1.961380e+00 100 -1.201288e+00 1.665668e+00 101 -1.795382e+00 -1.201288e+00 102 2.059368e+00 -1.795382e+00 103 1.010448e+00 2.059368e+00 104 -2.767569e+00 1.010448e+00 105 -6.933052e-01 -2.767569e+00 106 -3.863669e+00 -6.933052e-01 107 -2.707143e+00 -3.863669e+00 108 2.331873e+00 -2.707143e+00 109 1.530307e+00 2.331873e+00 110 -4.599641e-01 1.530307e+00 111 -5.737007e-01 -4.599641e-01 112 -3.020003e+00 -5.737007e-01 113 6.346740e-01 -3.020003e+00 114 1.506210e-01 6.346740e-01 115 2.265039e+00 1.506210e-01 116 4.095186e+00 2.265039e+00 117 2.641041e-01 4.095186e+00 118 1.541020e-01 2.641041e-01 119 6.385905e+00 1.541020e-01 120 -1.437401e-01 6.385905e+00 121 2.652208e+00 -1.437401e-01 122 -2.785736e+00 2.652208e+00 123 -2.231908e+00 -2.785736e+00 124 2.338731e-01 -2.231908e+00 125 1.869106e+00 2.338731e-01 126 -5.062679e-01 1.869106e+00 127 -4.294781e-01 -5.062679e-01 128 5.272440e-01 -4.294781e-01 129 7.348429e-01 5.272440e-01 130 2.999402e+00 7.348429e-01 131 3.865257e-04 2.999402e+00 132 -1.771445e+00 3.865257e-04 133 2.017814e-01 -1.771445e+00 134 2.508786e+00 2.017814e-01 135 1.527961e+00 2.508786e+00 136 -2.132424e+00 1.527961e+00 137 2.674976e+00 -2.132424e+00 138 2.111751e+00 2.674976e+00 139 -5.197704e-01 2.111751e+00 140 1.790865e+00 -5.197704e-01 141 -3.353374e-01 1.790865e+00 142 2.126907e+00 -3.353374e-01 143 -1.443996e+00 2.126907e+00 144 2.658054e+00 -1.443996e+00 145 6.579137e-01 2.658054e+00 146 2.964106e+00 6.579137e-01 147 -1.014125e+00 2.964106e+00 148 2.421376e-01 -1.014125e+00 149 -5.388433e+00 2.421376e-01 150 4.425327e+00 -5.388433e+00 151 3.924895e+00 4.425327e+00 152 -5.513674e+00 3.924895e+00 153 -6.125441e-01 -5.513674e+00 154 -1.325118e+00 -6.125441e-01 155 -8.565897e-02 -1.325118e+00 156 -4.093476e+00 -8.565897e-02 157 3.177849e+00 -4.093476e+00 158 -2.486692e+00 3.177849e+00 159 -8.489922e-01 -2.486692e+00 160 -3.269485e+00 -8.489922e-01 161 -2.059472e+00 -3.269485e+00 162 NA -2.059472e+00 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -2.692478e+00 1.646583e+00 [2,] -1.101236e+00 -2.692478e+00 [3,] -8.106931e-02 -1.101236e+00 [4,] 5.678100e-01 -8.106931e-02 [5,] -2.914574e+00 5.678100e-01 [6,] -2.418584e+00 -2.914574e+00 [7,] -5.973188e+00 -2.418584e+00 [8,] 2.778685e+00 -5.973188e+00 [9,] 4.519032e-01 2.778685e+00 [10,] 3.538695e+00 4.519032e-01 [11,] 3.530064e+00 3.538695e+00 [12,] -2.215278e+00 3.530064e+00 [13,] 9.012449e-01 -2.215278e+00 [14,] 1.183203e+00 9.012449e-01 [15,] -7.134355e-01 1.183203e+00 [16,] 2.933778e+00 -7.134355e-01 [17,] 4.216663e+00 2.933778e+00 [18,] 4.021448e+00 4.216663e+00 [19,] -9.096453e-02 4.021448e+00 [20,] -3.448856e+00 -9.096453e-02 [21,] 3.817507e+00 -3.448856e+00 [22,] -9.490187e-01 3.817507e+00 [23,] -9.000461e-01 -9.490187e-01 [24,] 1.866376e+00 -9.000461e-01 [25,] -8.042161e+00 1.866376e+00 [26,] -8.042161e+00 -8.042161e+00 [27,] 6.226359e+00 -8.042161e+00 [28,] 3.237067e+00 6.226359e+00 [29,] -2.356629e+00 3.237067e+00 [30,] -7.905109e-01 -2.356629e+00 [31,] -1.375917e+00 -7.905109e-01 [32,] -8.563519e+00 -1.375917e+00 [33,] -3.247511e-01 -8.563519e+00 [34,] 1.250889e+00 -3.247511e-01 [35,] -3.453164e+00 1.250889e+00 [36,] 3.354522e+00 -3.453164e+00 [37,] -2.392607e-01 3.354522e+00 [38,] 2.618744e+00 -2.392607e-01 [39,] -9.574420e-01 2.618744e+00 [40,] 3.369941e+00 -9.574420e-01 [41,] 3.596867e+00 3.369941e+00 [42,] 3.279145e-01 3.596867e+00 [43,] -6.947346e-01 3.279145e-01 [44,] -1.478620e+00 -6.947346e-01 [45,] 2.382580e+00 -1.478620e+00 [46,] -2.608868e+00 2.382580e+00 [47,] 3.174171e+00 -2.608868e+00 [48,] -9.522242e-01 3.174171e+00 [49,] 5.855649e+00 -9.522242e-01 [50,] -1.554505e-01 5.855649e+00 [51,] 4.919219e-01 -1.554505e-01 [52,] 3.903971e+00 4.919219e-01 [53,] -1.297268e+01 3.903971e+00 [54,] 1.638141e+00 -1.297268e+01 [55,] -5.824472e-01 1.638141e+00 [56,] -1.622931e+00 -5.824472e-01 [57,] 1.204201e+00 -1.622931e+00 [58,] 2.488854e+00 1.204201e+00 [59,] 8.185762e+00 2.488854e+00 [60,] 5.190957e+00 8.185762e+00 [61,] 1.605032e+00 5.190957e+00 [62,] 6.005221e-01 1.605032e+00 [63,] -6.218799e+00 6.005221e-01 [64,] -2.988325e+00 -6.218799e+00 [65,] 4.921671e-01 -2.988325e+00 [66,] 1.714565e+00 4.921671e-01 [67,] 1.167096e+00 1.714565e+00 [68,] 1.599690e+00 1.167096e+00 [69,] -1.235135e+00 1.599690e+00 [70,] 4.324325e+00 -1.235135e+00 [71,] 3.447485e+00 4.324325e+00 [72,] 9.401666e-01 3.447485e+00 [73,] -4.487528e+00 9.401666e-01 [74,] 2.799946e+00 -4.487528e+00 [75,] -2.450754e+00 2.799946e+00 [76,] -1.587590e+00 -2.450754e+00 [77,] 1.291832e+00 -1.587590e+00 [78,] 2.224834e+00 1.291832e+00 [79,] -9.845966e+00 2.224834e+00 [80,] -8.710346e+00 -9.845966e+00 [81,] -1.003634e+00 -8.710346e+00 [82,] 2.032472e+00 -1.003634e+00 [83,] -1.318788e+00 2.032472e+00 [84,] -7.099667e-01 -1.318788e+00 [85,] 1.968789e+00 -7.099667e-01 [86,] 3.029668e+00 1.968789e+00 [87,] 4.167704e-01 3.029668e+00 [88,] 5.166043e+00 4.167704e-01 [89,] 5.070493e+00 5.166043e+00 [90,] -7.255403e+00 5.070493e+00 [91,] -2.491374e+00 -7.255403e+00 [92,] -2.486692e+00 -2.491374e+00 [93,] -2.890736e+00 -2.486692e+00 [94,] 5.984380e-01 -2.890736e+00 [95,] 1.773518e+00 5.984380e-01 [96,] -1.187854e+00 1.773518e+00 [97,] -1.151723e+00 -1.187854e+00 [98,] -1.961380e+00 -1.151723e+00 [99,] 1.665668e+00 -1.961380e+00 [100,] -1.201288e+00 1.665668e+00 [101,] -1.795382e+00 -1.201288e+00 [102,] 2.059368e+00 -1.795382e+00 [103,] 1.010448e+00 2.059368e+00 [104,] -2.767569e+00 1.010448e+00 [105,] -6.933052e-01 -2.767569e+00 [106,] -3.863669e+00 -6.933052e-01 [107,] -2.707143e+00 -3.863669e+00 [108,] 2.331873e+00 -2.707143e+00 [109,] 1.530307e+00 2.331873e+00 [110,] -4.599641e-01 1.530307e+00 [111,] -5.737007e-01 -4.599641e-01 [112,] -3.020003e+00 -5.737007e-01 [113,] 6.346740e-01 -3.020003e+00 [114,] 1.506210e-01 6.346740e-01 [115,] 2.265039e+00 1.506210e-01 [116,] 4.095186e+00 2.265039e+00 [117,] 2.641041e-01 4.095186e+00 [118,] 1.541020e-01 2.641041e-01 [119,] 6.385905e+00 1.541020e-01 [120,] -1.437401e-01 6.385905e+00 [121,] 2.652208e+00 -1.437401e-01 [122,] -2.785736e+00 2.652208e+00 [123,] -2.231908e+00 -2.785736e+00 [124,] 2.338731e-01 -2.231908e+00 [125,] 1.869106e+00 2.338731e-01 [126,] -5.062679e-01 1.869106e+00 [127,] -4.294781e-01 -5.062679e-01 [128,] 5.272440e-01 -4.294781e-01 [129,] 7.348429e-01 5.272440e-01 [130,] 2.999402e+00 7.348429e-01 [131,] 3.865257e-04 2.999402e+00 [132,] -1.771445e+00 3.865257e-04 [133,] 2.017814e-01 -1.771445e+00 [134,] 2.508786e+00 2.017814e-01 [135,] 1.527961e+00 2.508786e+00 [136,] -2.132424e+00 1.527961e+00 [137,] 2.674976e+00 -2.132424e+00 [138,] 2.111751e+00 2.674976e+00 [139,] -5.197704e-01 2.111751e+00 [140,] 1.790865e+00 -5.197704e-01 [141,] -3.353374e-01 1.790865e+00 [142,] 2.126907e+00 -3.353374e-01 [143,] -1.443996e+00 2.126907e+00 [144,] 2.658054e+00 -1.443996e+00 [145,] 6.579137e-01 2.658054e+00 [146,] 2.964106e+00 6.579137e-01 [147,] -1.014125e+00 2.964106e+00 [148,] 2.421376e-01 -1.014125e+00 [149,] -5.388433e+00 2.421376e-01 [150,] 4.425327e+00 -5.388433e+00 [151,] 3.924895e+00 4.425327e+00 [152,] -5.513674e+00 3.924895e+00 [153,] -6.125441e-01 -5.513674e+00 [154,] -1.325118e+00 -6.125441e-01 [155,] -8.565897e-02 -1.325118e+00 [156,] -4.093476e+00 -8.565897e-02 [157,] 3.177849e+00 -4.093476e+00 [158,] -2.486692e+00 3.177849e+00 [159,] -8.489922e-01 -2.486692e+00 [160,] -3.269485e+00 -8.489922e-01 [161,] -2.059472e+00 -3.269485e+00 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -2.692478e+00 1.646583e+00 2 -1.101236e+00 -2.692478e+00 3 -8.106931e-02 -1.101236e+00 4 5.678100e-01 -8.106931e-02 5 -2.914574e+00 5.678100e-01 6 -2.418584e+00 -2.914574e+00 7 -5.973188e+00 -2.418584e+00 8 2.778685e+00 -5.973188e+00 9 4.519032e-01 2.778685e+00 10 3.538695e+00 4.519032e-01 11 3.530064e+00 3.538695e+00 12 -2.215278e+00 3.530064e+00 13 9.012449e-01 -2.215278e+00 14 1.183203e+00 9.012449e-01 15 -7.134355e-01 1.183203e+00 16 2.933778e+00 -7.134355e-01 17 4.216663e+00 2.933778e+00 18 4.021448e+00 4.216663e+00 19 -9.096453e-02 4.021448e+00 20 -3.448856e+00 -9.096453e-02 21 3.817507e+00 -3.448856e+00 22 -9.490187e-01 3.817507e+00 23 -9.000461e-01 -9.490187e-01 24 1.866376e+00 -9.000461e-01 25 -8.042161e+00 1.866376e+00 26 -8.042161e+00 -8.042161e+00 27 6.226359e+00 -8.042161e+00 28 3.237067e+00 6.226359e+00 29 -2.356629e+00 3.237067e+00 30 -7.905109e-01 -2.356629e+00 31 -1.375917e+00 -7.905109e-01 32 -8.563519e+00 -1.375917e+00 33 -3.247511e-01 -8.563519e+00 34 1.250889e+00 -3.247511e-01 35 -3.453164e+00 1.250889e+00 36 3.354522e+00 -3.453164e+00 37 -2.392607e-01 3.354522e+00 38 2.618744e+00 -2.392607e-01 39 -9.574420e-01 2.618744e+00 40 3.369941e+00 -9.574420e-01 41 3.596867e+00 3.369941e+00 42 3.279145e-01 3.596867e+00 43 -6.947346e-01 3.279145e-01 44 -1.478620e+00 -6.947346e-01 45 2.382580e+00 -1.478620e+00 46 -2.608868e+00 2.382580e+00 47 3.174171e+00 -2.608868e+00 48 -9.522242e-01 3.174171e+00 49 5.855649e+00 -9.522242e-01 50 -1.554505e-01 5.855649e+00 51 4.919219e-01 -1.554505e-01 52 3.903971e+00 4.919219e-01 53 -1.297268e+01 3.903971e+00 54 1.638141e+00 -1.297268e+01 55 -5.824472e-01 1.638141e+00 56 -1.622931e+00 -5.824472e-01 57 1.204201e+00 -1.622931e+00 58 2.488854e+00 1.204201e+00 59 8.185762e+00 2.488854e+00 60 5.190957e+00 8.185762e+00 61 1.605032e+00 5.190957e+00 62 6.005221e-01 1.605032e+00 63 -6.218799e+00 6.005221e-01 64 -2.988325e+00 -6.218799e+00 65 4.921671e-01 -2.988325e+00 66 1.714565e+00 4.921671e-01 67 1.167096e+00 1.714565e+00 68 1.599690e+00 1.167096e+00 69 -1.235135e+00 1.599690e+00 70 4.324325e+00 -1.235135e+00 71 3.447485e+00 4.324325e+00 72 9.401666e-01 3.447485e+00 73 -4.487528e+00 9.401666e-01 74 2.799946e+00 -4.487528e+00 75 -2.450754e+00 2.799946e+00 76 -1.587590e+00 -2.450754e+00 77 1.291832e+00 -1.587590e+00 78 2.224834e+00 1.291832e+00 79 -9.845966e+00 2.224834e+00 80 -8.710346e+00 -9.845966e+00 81 -1.003634e+00 -8.710346e+00 82 2.032472e+00 -1.003634e+00 83 -1.318788e+00 2.032472e+00 84 -7.099667e-01 -1.318788e+00 85 1.968789e+00 -7.099667e-01 86 3.029668e+00 1.968789e+00 87 4.167704e-01 3.029668e+00 88 5.166043e+00 4.167704e-01 89 5.070493e+00 5.166043e+00 90 -7.255403e+00 5.070493e+00 91 -2.491374e+00 -7.255403e+00 92 -2.486692e+00 -2.491374e+00 93 -2.890736e+00 -2.486692e+00 94 5.984380e-01 -2.890736e+00 95 1.773518e+00 5.984380e-01 96 -1.187854e+00 1.773518e+00 97 -1.151723e+00 -1.187854e+00 98 -1.961380e+00 -1.151723e+00 99 1.665668e+00 -1.961380e+00 100 -1.201288e+00 1.665668e+00 101 -1.795382e+00 -1.201288e+00 102 2.059368e+00 -1.795382e+00 103 1.010448e+00 2.059368e+00 104 -2.767569e+00 1.010448e+00 105 -6.933052e-01 -2.767569e+00 106 -3.863669e+00 -6.933052e-01 107 -2.707143e+00 -3.863669e+00 108 2.331873e+00 -2.707143e+00 109 1.530307e+00 2.331873e+00 110 -4.599641e-01 1.530307e+00 111 -5.737007e-01 -4.599641e-01 112 -3.020003e+00 -5.737007e-01 113 6.346740e-01 -3.020003e+00 114 1.506210e-01 6.346740e-01 115 2.265039e+00 1.506210e-01 116 4.095186e+00 2.265039e+00 117 2.641041e-01 4.095186e+00 118 1.541020e-01 2.641041e-01 119 6.385905e+00 1.541020e-01 120 -1.437401e-01 6.385905e+00 121 2.652208e+00 -1.437401e-01 122 -2.785736e+00 2.652208e+00 123 -2.231908e+00 -2.785736e+00 124 2.338731e-01 -2.231908e+00 125 1.869106e+00 2.338731e-01 126 -5.062679e-01 1.869106e+00 127 -4.294781e-01 -5.062679e-01 128 5.272440e-01 -4.294781e-01 129 7.348429e-01 5.272440e-01 130 2.999402e+00 7.348429e-01 131 3.865257e-04 2.999402e+00 132 -1.771445e+00 3.865257e-04 133 2.017814e-01 -1.771445e+00 134 2.508786e+00 2.017814e-01 135 1.527961e+00 2.508786e+00 136 -2.132424e+00 1.527961e+00 137 2.674976e+00 -2.132424e+00 138 2.111751e+00 2.674976e+00 139 -5.197704e-01 2.111751e+00 140 1.790865e+00 -5.197704e-01 141 -3.353374e-01 1.790865e+00 142 2.126907e+00 -3.353374e-01 143 -1.443996e+00 2.126907e+00 144 2.658054e+00 -1.443996e+00 145 6.579137e-01 2.658054e+00 146 2.964106e+00 6.579137e-01 147 -1.014125e+00 2.964106e+00 148 2.421376e-01 -1.014125e+00 149 -5.388433e+00 2.421376e-01 150 4.425327e+00 -5.388433e+00 151 3.924895e+00 4.425327e+00 152 -5.513674e+00 3.924895e+00 153 -6.125441e-01 -5.513674e+00 154 -1.325118e+00 -6.125441e-01 155 -8.565897e-02 -1.325118e+00 156 -4.093476e+00 -8.565897e-02 157 3.177849e+00 -4.093476e+00 158 -2.486692e+00 3.177849e+00 159 -8.489922e-01 -2.486692e+00 160 -3.269485e+00 -8.489922e-01 161 -2.059472e+00 -3.269485e+00 > 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/708cd1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8c3rz1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/94oht1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/109xrp1321980156.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/110rc11321980156.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/12uoan1321980156.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/13qijm1321980156.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/14m0an1321980156.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/159m1l1321980156.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/16qslv1321980156.tab") + } > > try(system("convert tmp/1n0wh1321980156.ps tmp/1n0wh1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/2olgx1321980156.ps tmp/2olgx1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/3f20n1321980156.ps tmp/3f20n1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/413b81321980156.ps tmp/413b81321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/5s28v1321980156.ps tmp/5s28v1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/6w4hn1321980156.ps tmp/6w4hn1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/708cd1321980156.ps tmp/708cd1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/8c3rz1321980156.ps tmp/8c3rz1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/94oht1321980156.ps tmp/94oht1321980156.png",intern=TRUE)) character(0) > try(system("convert tmp/109xrp1321980156.ps tmp/109xrp1321980156.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 4.530 0.290 4.872