R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(56 + ,79 + ,30 + ,112285 + ,21 + ,56 + ,58 + ,28 + ,84786 + ,23 + ,54 + ,60 + ,38 + ,83123 + ,22 + ,92 + ,121 + ,25 + ,119182 + ,22 + ,44 + ,43 + ,26 + ,116174 + ,21 + ,33 + ,69 + ,25 + ,57635 + ,22 + ,84 + ,78 + ,38 + ,66198 + ,21 + ,55 + ,44 + ,30 + ,57793 + ,21 + ,154 + ,158 + ,47 + ,97668 + ,21 + ,53 + ,102 + ,30 + ,133824 + ,21 + ,119 + ,77 + ,31 + ,101481 + ,23 + ,41 + ,82 + ,23 + ,99645 + ,21 + ,58 + ,101 + ,36 + ,99052 + ,21 + ,75 + ,80 + ,30 + ,67654 + ,22 + ,33 + ,50 + ,25 + ,65553 + ,22 + ,100 + ,73 + ,31 + ,82753 + ,21 + ,112 + ,81 + ,31 + ,85323 + ,22 + ,73 + ,105 + ,33 + ,72654 + ,23 + ,40 + ,47 + ,25 + ,30727 + ,22 + ,60 + ,94 + ,35 + ,117478 + ,22 + ,62 + ,44 + ,42 + ,74007 + ,21 + ,77 + ,107 + ,33 + ,101494 + ,21 + ,99 + ,84 + ,36 + ,79215 + ,21 + ,17 + ,0 + ,0 + ,1423 + ,20 + ,30 + ,33 + ,14 + ,31081 + ,21 + ,76 + ,42 + ,17 + ,22996 + ,25 + ,146 + ,96 + ,32 + ,83122 + ,21 + ,56 + ,56 + ,35 + ,60578 + ,21 + ,107 + ,57 + ,20 + 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+ ,27717 + ,22 + ,39 + ,23 + ,18 + ,32928 + ,21 + ,24 + ,30 + ,17 + ,19499 + ,21 + ,35 + ,18 + ,15 + ,36874 + ,19 + ,151 + ,28 + ,21 + ,48259 + ,18 + ,30 + ,21 + ,14 + ,28207 + ,19 + ,57 + ,50 + ,15 + ,45833 + ,19 + ,40 + ,12 + ,15 + ,29156 + ,19 + ,77 + ,27 + ,22 + ,45588 + ,20 + ,35 + ,41 + ,21 + ,45097 + ,18 + ,63 + ,12 + ,18 + ,28394 + ,19 + ,44 + ,21 + ,17 + ,18632 + ,19 + ,19 + ,8 + ,4 + ,2325 + ,20 + ,13 + ,26 + ,10 + ,25139 + ,20 + ,42 + ,27 + ,16 + ,27975 + ,21 + ,42 + ,37 + ,18 + ,21792 + ,20 + ,49 + ,29 + ,12 + ,26263 + ,21 + ,30 + ,32 + ,16 + ,23686 + ,18 + ,49 + ,35 + ,21 + ,49303 + ,19 + ,12 + ,10 + ,2 + ,5752 + ,19 + ,20 + ,17 + ,17 + ,20055 + ,19 + ,27 + ,10 + ,16 + ,20154 + ,19 + ,14 + ,17 + ,16 + ,19540 + ,19) + ,dim=c(5 + ,171) + ,dimnames=list(c('log' + ,'blog' + ,'PR' + ,'size' + ,'age ') + ,1:171)) > y <- array(NA,dim=c(5,171),dimnames=list(c('log','blog','PR','size','age '),1:171)) > 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 = '1' > #'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 log blog PR size age\r 1 56 79 30 112285 21 2 56 58 28 84786 23 3 54 60 38 83123 22 4 92 121 25 119182 22 5 44 43 26 116174 21 6 33 69 25 57635 22 7 84 78 38 66198 21 8 55 44 30 57793 21 9 154 158 47 97668 21 10 53 102 30 133824 21 11 119 77 31 101481 23 12 41 82 23 99645 21 13 58 101 36 99052 21 14 75 80 30 67654 22 15 33 50 25 65553 22 16 100 73 31 82753 21 17 112 81 31 85323 22 18 73 105 33 72654 23 19 40 47 25 30727 22 20 60 94 35 117478 22 21 62 44 42 74007 21 22 77 107 33 101494 21 23 99 84 36 79215 21 24 17 0 0 1423 20 25 30 33 14 31081 21 26 76 42 17 22996 25 27 146 96 32 83122 21 28 56 56 35 60578 21 29 107 57 20 39992 20 30 58 59 28 79892 24 31 34 39 28 49810 23 32 119 76 34 100708 21 33 66 91 39 82875 24 34 66 76 28 72260 21 35 24 8 4 5950 23 36 259 79 39 115762 23 37 41 76 29 80670 21 38 68 101 44 143558 22 39 168 94 21 117105 20 40 43 27 16 23789 18 41 105 123 35 105195 22 42 94 105 23 149193 21 43 57 41 29 95260 21 44 53 72 25 55183 23 45 103 67 27 106671 22 46 121 75 36 73511 21 47 62 114 28 92945 21 48 32 22 23 22618 21 49 45 69 28 83737 22 50 46 105 34 69094 21 51 75 88 28 95536 21 52 88 73 34 225920 23 53 53 62 33 61370 21 54 78 100 35 84651 22 55 45 24 24 15986 22 56 46 67 29 95364 20 57 41 46 20 26706 21 58 144 57 29 89691 21 59 91 135 37 126846 21 60 63 124 33 102860 21 61 53 33 25 51715 22 62 62 98 32 55801 21 63 63 58 29 111813 24 64 32 68 28 120293 22 65 62 131 31 161647 24 66 117 110 52 115929 21 67 34 37 21 24266 22 68 92 130 24 162901 22 69 93 93 41 109825 21 70 54 118 33 129838 24 71 144 39 32 37510 21 72 109 81 31 87771 22 73 75 51 18 44418 19 74 50 28 23 192565 22 75 61 40 17 35232 23 76 55 56 20 40909 20 77 77 27 12 13294 20 78 72 83 30 140867 23 79 53 28 13 44332 20 80 42 59 22 61056 20 81 71 133 42 101338 23 82 10 12 1 1168 25 83 65 106 32 65567 21 84 66 44 25 32334 22 85 41 71 36 40735 21 86 86 116 31 91413 22 87 16 4 0 855 22 88 42 62 24 97068 23 89 19 12 13 44339 21 90 19 18 8 14116 21 91 45 14 13 10288 20 92 65 60 19 65622 19 93 95 98 33 76643 22 94 64 32 38 92696 21 95 38 25 24 94785 21 96 65 100 43 93815 21 97 52 46 43 86687 21 98 62 45 14 34553 21 99 65 129 41 105547 21 100 95 136 45 213688 22 101 29 59 31 71220 22 102 247 63 31 91721 22 103 29 14 30 111194 22 104 118 36 16 51009 18 105 110 113 37 135777 21 106 67 47 30 51513 23 107 42 92 35 74163 21 108 64 50 20 33416 19 109 81 41 18 83305 19 110 95 91 31 98952 23 111 67 111 31 102372 21 112 63 41 21 37238 21 113 83 120 39 103772 21 114 32 25 18 21399 21 115 83 131 39 130115 20 116 31 45 14 24874 19 117 67 29 7 34988 21 118 66 58 17 45549 22 119 70 47 30 64466 21 120 103 109 37 54990 25 121 34 37 32 34777 23 122 40 15 17 27114 19 123 31 7 24 37636 19 124 42 54 22 65461 19 125 46 54 12 30080 19 126 33 14 19 24094 19 127 18 16 13 69008 20 128 35 32 15 46090 19 129 66 38 15 34029 19 130 60 22 17 46300 19 131 54 32 16 40662 19 132 53 32 18 28987 19 133 39 37 17 30594 20 134 45 32 16 27913 19 135 36 0 23 42744 19 136 28 5 22 12934 18 137 30 10 13 41385 19 138 22 27 16 18653 19 139 31 29 20 30976 21 140 55 25 22 63339 18 141 54 55 17 25568 18 142 14 5 17 4154 21 143 81 43 12 19474 20 144 43 34 17 39067 19 145 30 35 23 65892 21 146 23 0 17 4143 21 147 38 37 14 28579 20 148 53 26 21 38084 24 149 45 38 18 27717 22 150 39 23 18 32928 21 151 24 30 17 19499 21 152 35 18 15 36874 19 153 151 28 21 48259 18 154 30 21 14 28207 19 155 57 50 15 45833 19 156 40 12 15 29156 19 157 77 27 22 45588 20 158 35 41 21 45097 18 159 63 12 18 28394 19 160 44 21 17 18632 19 161 19 8 4 2325 20 162 13 26 10 25139 20 163 42 27 16 27975 21 164 42 37 18 21792 20 165 49 29 12 26263 21 166 30 32 16 23686 18 167 49 35 21 49303 19 168 12 10 2 5752 19 169 20 17 17 20055 19 170 27 10 16 20154 19 171 14 17 16 19540 19 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) blog PR size `age\r` 45.8494816 0.2871328 0.8107209 0.0001046 -1.2908111 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -40.262 -19.188 -6.816 9.393 176.731 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 45.8494816 34.7365255 1.320 0.1887 blog 0.2871328 0.1133361 2.533 0.0122 * PR 0.8107209 0.3921386 2.067 0.0402 * size 0.0001046 0.0000896 1.168 0.2446 `age\r` -1.2908111 1.7453409 -0.740 0.4606 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 31.7 on 166 degrees of freedom Multiple R-squared: 0.2921, Adjusted R-squared: 0.275 F-statistic: 17.12 on 4 and 166 DF, p-value: 8.94e-12 > 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,] 0.15773112 3.154622e-01 8.422689e-01 [2,] 0.07357405 1.471481e-01 9.264260e-01 [3,] 0.09579171 1.915834e-01 9.042083e-01 [4,] 0.22892765 4.578553e-01 7.710723e-01 [5,] 0.14479602 2.895920e-01 8.552040e-01 [6,] 0.14414160 2.882832e-01 8.558584e-01 [7,] 0.08995251 1.799050e-01 9.100475e-01 [8,] 0.05678814 1.135763e-01 9.432119e-01 [9,] 0.11907027 2.381405e-01 8.809297e-01 [10,] 0.14866615 2.973323e-01 8.513338e-01 [11,] 0.15358983 3.071797e-01 8.464102e-01 [12,] 0.10756928 2.151386e-01 8.924307e-01 [13,] 0.11068123 2.213625e-01 8.893188e-01 [14,] 0.07830096 1.566019e-01 9.216990e-01 [15,] 0.05356627 1.071325e-01 9.464337e-01 [16,] 0.04517250 9.034500e-02 9.548275e-01 [17,] 0.04756304 9.512607e-02 9.524370e-01 [18,] 0.03192791 6.385581e-02 9.680721e-01 [19,] 0.02623019 5.246039e-02 9.737698e-01 [20,] 0.11058756 2.211751e-01 8.894124e-01 [21,] 0.08533337 1.706667e-01 9.146666e-01 [22,] 0.13726162 2.745232e-01 8.627384e-01 [23,] 0.10440384 2.088077e-01 8.955962e-01 [24,] 0.08845088 1.769018e-01 9.115491e-01 [25,] 0.13689944 2.737989e-01 8.631006e-01 [26,] 0.11915299 2.383060e-01 8.808470e-01 [27,] 0.09359123 1.871825e-01 9.064088e-01 [28,] 0.07075343 1.415069e-01 9.292466e-01 [29,] 0.99504811 9.903780e-03 4.951890e-03 [30,] 0.99476293 1.047413e-02 5.237066e-03 [31,] 0.99477716 1.044569e-02 5.222845e-03 [32,] 0.99959349 8.130264e-04 4.065132e-04 [33,] 0.99936806 1.263883e-03 6.319417e-04 [34,] 0.99908013 1.839741e-03 9.198705e-04 [35,] 0.99865758 2.684832e-03 1.342416e-03 [36,] 0.99800199 3.996024e-03 1.998012e-03 [37,] 0.99725392 5.492151e-03 2.746075e-03 [38,] 0.99712619 5.747621e-03 2.873811e-03 [39,] 0.99776906 4.461880e-03 2.230940e-03 [40,] 0.99754172 4.916562e-03 2.458281e-03 [41,] 0.99658268 6.834645e-03 3.417323e-03 [42,] 0.99603734 7.925321e-03 3.962660e-03 [43,] 0.99659056 6.818879e-03 3.409439e-03 [44,] 0.99519767 9.604664e-03 4.802332e-03 [45,] 0.99354848 1.290304e-02 6.451519e-03 [46,] 0.99168405 1.663190e-02 8.315949e-03 [47,] 0.98886170 2.227660e-02 1.113830e-02 [48,] 0.98495559 3.008883e-02 1.504441e-02 [49,] 0.98306812 3.386377e-02 1.693188e-02 [50,] 0.97785237 4.429526e-02 2.214763e-02 [51,] 0.99439128 1.121745e-02 5.608723e-03 [52,] 0.99269778 1.460444e-02 7.302222e-03 [53,] 0.99225458 1.549084e-02 7.745421e-03 [54,] 0.98943520 2.112960e-02 1.056480e-02 [55,] 0.98667514 2.664971e-02 1.332486e-02 [56,] 0.98265044 3.469912e-02 1.734956e-02 [57,] 0.98523360 2.953280e-02 1.476640e-02 [58,] 0.98548857 2.902286e-02 1.451143e-02 [59,] 0.98160465 3.679071e-02 1.839535e-02 [60,] 0.97679577 4.640845e-02 2.320423e-02 [61,] 0.96986421 6.027157e-02 3.013579e-02 [62,] 0.96153942 7.692115e-02 3.846058e-02 [63,] 0.96264388 7.471224e-02 3.735612e-02 [64,] 0.99286192 1.427616e-02 7.138082e-03 [65,] 0.99329018 1.341964e-02 6.709818e-03 [66,] 0.99177267 1.645467e-02 8.227335e-03 [67,] 0.98984324 2.031352e-02 1.015676e-02 [68,] 0.98741208 2.517585e-02 1.258792e-02 [69,] 0.98330032 3.339936e-02 1.669968e-02 [70,] 0.98487698 3.024605e-02 1.512302e-02 [71,] 0.98043179 3.913641e-02 1.956821e-02 [72,] 0.97476708 5.046584e-02 2.523292e-02 [73,] 0.97066955 5.866091e-02 2.933045e-02 [74,] 0.96757411 6.485179e-02 3.242589e-02 [75,] 0.95989615 8.020770e-02 4.010385e-02 [76,] 0.95198661 9.602679e-02 4.801339e-02 [77,] 0.94232564 1.153487e-01 5.767436e-02 [78,] 0.94046200 1.190760e-01 5.953800e-02 [79,] 0.92604029 1.479194e-01 7.395971e-02 [80,] 0.90995288 1.800942e-01 9.004712e-02 [81,] 0.90228974 1.954205e-01 9.771026e-02 [82,] 0.89210671 2.157866e-01 1.078933e-01 [83,] 0.87641383 2.471723e-01 1.235862e-01 [84,] 0.85365589 2.926882e-01 1.463441e-01 [85,] 0.82633770 3.473246e-01 1.736623e-01 [86,] 0.80396345 3.920731e-01 1.960366e-01 [87,] 0.77389795 4.522041e-01 2.261021e-01 [88,] 0.75501029 4.899794e-01 2.449897e-01 [89,] 0.73813000 5.237400e-01 2.618700e-01 [90,] 0.71631008 5.673798e-01 2.836899e-01 [91,] 0.68311085 6.337783e-01 3.168892e-01 [92,] 0.68694303 6.261139e-01 3.130570e-01 [93,] 0.69681837 6.063633e-01 3.031816e-01 [94,] 0.72161472 5.567706e-01 2.783853e-01 [95,] 0.99999266 1.468154e-05 7.340771e-06 [96,] 0.99999321 1.357113e-05 6.785563e-06 [97,] 0.99999957 8.510924e-07 4.255462e-07 [98,] 0.99999930 1.406716e-06 7.033579e-07 [99,] 0.99999883 2.349732e-06 1.174866e-06 [100,] 0.99999926 1.476118e-06 7.380589e-07 [101,] 0.99999879 2.421945e-06 1.210973e-06 [102,] 0.99999855 2.900921e-06 1.450461e-06 [103,] 0.99999791 4.185856e-06 2.092928e-06 [104,] 0.99999728 5.448317e-06 2.724158e-06 [105,] 0.99999573 8.544583e-06 4.272291e-06 [106,] 0.99999348 1.303262e-05 6.516309e-06 [107,] 0.99998902 2.196733e-05 1.098366e-05 [108,] 0.99999300 1.399502e-05 6.997511e-06 [109,] 0.99999065 1.869215e-05 9.346076e-06 [110,] 0.99999296 1.408959e-05 7.044793e-06 [111,] 0.99998837 2.326787e-05 1.163393e-05 [112,] 0.99997914 4.172108e-05 2.086054e-05 [113,] 0.99996944 6.112058e-05 3.056029e-05 [114,] 0.99995908 8.183106e-05 4.091553e-05 [115,] 0.99992929 1.414253e-04 7.071263e-05 [116,] 0.99989366 2.126771e-04 1.063385e-04 [117,] 0.99989868 2.026324e-04 1.013162e-04 [118,] 0.99983047 3.390575e-04 1.695287e-04 [119,] 0.99972128 5.574397e-04 2.787199e-04 [120,] 0.99971518 5.696309e-04 2.848155e-04 [121,] 0.99960962 7.807577e-04 3.903789e-04 [122,] 0.99946057 1.078867e-03 5.394335e-04 [123,] 0.99917308 1.653833e-03 8.269163e-04 [124,] 0.99865664 2.686725e-03 1.343362e-03 [125,] 0.99788631 4.227386e-03 2.113693e-03 [126,] 0.99674989 6.500225e-03 3.250112e-03 [127,] 0.99490782 1.018436e-02 5.092179e-03 [128,] 0.99238386 1.523228e-02 7.616140e-03 [129,] 0.98887760 2.224479e-02 1.112240e-02 [130,] 0.98410536 3.178928e-02 1.589464e-02 [131,] 0.97980950 4.038101e-02 2.019050e-02 [132,] 0.97304558 5.390884e-02 2.695442e-02 [133,] 0.96342034 7.315931e-02 3.657966e-02 [134,] 0.94814618 1.037076e-01 5.185382e-02 [135,] 0.93088254 1.382349e-01 6.911746e-02 [136,] 0.96342479 7.315042e-02 3.657521e-02 [137,] 0.94805584 1.038883e-01 5.194416e-02 [138,] 0.97972598 4.054804e-02 2.027402e-02 [139,] 0.96925294 6.149411e-02 3.074706e-02 [140,] 0.95386546 9.226907e-02 4.613454e-02 [141,] 0.93279650 1.344070e-01 6.720350e-02 [142,] 0.90774898 1.845020e-01 9.225102e-02 [143,] 0.87652470 2.469506e-01 1.234753e-01 [144,] 0.83162437 3.367513e-01 1.683756e-01 [145,] 0.81981087 3.603783e-01 1.801891e-01 [146,] 0.99963203 7.359389e-04 3.679694e-04 [147,] 0.99912573 1.748548e-03 8.742742e-04 [148,] 0.99881360 2.372806e-03 1.186403e-03 [149,] 0.99700303 5.993932e-03 2.996966e-03 [150,] 0.99587756 8.244887e-03 4.122444e-03 [151,] 0.99024976 1.950048e-02 9.750241e-03 [152,] 0.99649513 7.009748e-03 3.504874e-03 [153,] 0.99563478 8.730432e-03 4.365216e-03 [154,] 0.98793119 2.413762e-02 1.206881e-02 [155,] 0.99680534 6.389319e-03 3.194660e-03 [156,] 0.98490443 3.019113e-02 1.509557e-02 > postscript(file="/var/wessaorg/rcomp/tmp/12r6h1323864652.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2eqii1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3jj1b1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4y5pw1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5y0ar1323864652.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 = 171 Frequency = 1 1 2 3 4 5 6 -21.49463716 -8.38488481 -20.18319035 7.06864799 -20.32183315 -30.56150178 7 8 9 10 11 12 5.12827327 -6.74412695 41.56882172 -33.35206590 44.98082612 -30.35861351 13 14 15 16 17 18 -29.29147003 3.17826175 -25.93434638 26.50702726 37.23190678 -7.66450172 19 20 21 22 23 24 -14.42951004 -25.10770573 -11.16905949 -9.83758209 18.66510147 -3.18213196 25 26 27 28 29 30 -12.81956667 34.17315883 65.05364763 -13.53468724 50.20185548 -4.86920444 31 32 33 34 35 36 -21.27023082 40.33504400 -15.28746076 -4.82444830 1.67674800 176.42673885 37 38 39 40 41 42 -31.51500936 -29.14256960 91.69978753 -2.82776804 12.85046982 10.85370297 43 44 45 46 47 48 -6.99174255 -9.87556498 33.26125763 43.84603968 -21.89952508 -14.07220910 49 50 51 52 53 54 -23.72441214 -37.68440354 -1.70513820 -0.32140562 -16.71889997 -5.39619668 55 56 57 58 59 60 -0.47255579 -26.75888690 -9.95891345 75.99675202 -9.77246820 -28.86174844 61 62 63 64 65 66 0.39461977 -16.66234062 -3.73231422 -40.26170696 -32.52800073 12.38715657 67 68 69 70 71 72 -13.63935930 0.72136492 2.82493460 -35.08891165 84.19206882 33.97580111 73 74 75 76 77 78 19.79224235 -14.28376600 15.88569241 -1.60694672 38.09470713 -7.05174731 79 80 81 82 83 84 9.74970972 -19.19753243 -28.00158066 -7.95771349 -16.98110567 12.26376673 85 86 87 88 89 90 -31.57645875 0.54513292 -2.68961782 -21.57545470 -18.36608663 -12.87339915 91 92 93 94 95 96 9.33119540 4.17899913 14.63729433 -4.43579411 -17.29431937 -27.13149743 97 98 99 100 101 102 -23.88060642 15.37160481 -35.06428923 -20.33982215 -37.97573919 176.73094923 103 104 105 106 107 108 -28.42605506 66.74032579 14.61010725 7.63309989 -39.29270827 8.60894418 109 110 111 112 113 114 24.59527746 17.22554658 -19.45652639 11.56418943 -12.67295461 -10.75247321 115 116 117 118 119 120 -19.87818720 -17.19741654 30.59526713 13.34714352 6.69635652 22.37368372 121 122 123 124 125 126 -22.36612151 -2.24994014 -15.72871813 -19.51352322 -3.70481300 -10.26830180 127 128 129 130 131 132 -24.38625849 -12.49499344 18.04401139 13.73292296 6.26215394 4.86213111 133 134 135 136 137 138 -8.64012259 -1.40406698 -8.44245800 -15.23953981 -9.06440063 -21.99963723 139 140 141 142 143 144 -15.52437600 0.74451719 -0.86432354 -20.39495309 36.85404095 -5.95596635 145 146 147 148 149 150 -24.33218915 -9.95813825 -6.99715392 9.65510766 -0.85536722 -4.38435231 151 152 153 154 155 156 -19.17864151 -7.51097162 98.27148408 -11.65492207 4.36350296 0.01926948 157 158 159 160 161 162 26.60895369 -21.13043925 20.66682591 0.91463569 -6.81644380 -25.23592235 163 164 165 166 167 168 -0.39326713 -5.52999297 9.45445749 -17.25265639 -4.55685602 -14.41860568 169 170 171 -22.08570497 -12.27541162 -27.22110562 > postscript(file="/var/wessaorg/rcomp/tmp/68kbq1323864652.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 = 171 Frequency = 1 lag(myerror, k = 1) myerror 0 -21.49463716 NA 1 -8.38488481 -21.49463716 2 -20.18319035 -8.38488481 3 7.06864799 -20.18319035 4 -20.32183315 7.06864799 5 -30.56150178 -20.32183315 6 5.12827327 -30.56150178 7 -6.74412695 5.12827327 8 41.56882172 -6.74412695 9 -33.35206590 41.56882172 10 44.98082612 -33.35206590 11 -30.35861351 44.98082612 12 -29.29147003 -30.35861351 13 3.17826175 -29.29147003 14 -25.93434638 3.17826175 15 26.50702726 -25.93434638 16 37.23190678 26.50702726 17 -7.66450172 37.23190678 18 -14.42951004 -7.66450172 19 -25.10770573 -14.42951004 20 -11.16905949 -25.10770573 21 -9.83758209 -11.16905949 22 18.66510147 -9.83758209 23 -3.18213196 18.66510147 24 -12.81956667 -3.18213196 25 34.17315883 -12.81956667 26 65.05364763 34.17315883 27 -13.53468724 65.05364763 28 50.20185548 -13.53468724 29 -4.86920444 50.20185548 30 -21.27023082 -4.86920444 31 40.33504400 -21.27023082 32 -15.28746076 40.33504400 33 -4.82444830 -15.28746076 34 1.67674800 -4.82444830 35 176.42673885 1.67674800 36 -31.51500936 176.42673885 37 -29.14256960 -31.51500936 38 91.69978753 -29.14256960 39 -2.82776804 91.69978753 40 12.85046982 -2.82776804 41 10.85370297 12.85046982 42 -6.99174255 10.85370297 43 -9.87556498 -6.99174255 44 33.26125763 -9.87556498 45 43.84603968 33.26125763 46 -21.89952508 43.84603968 47 -14.07220910 -21.89952508 48 -23.72441214 -14.07220910 49 -37.68440354 -23.72441214 50 -1.70513820 -37.68440354 51 -0.32140562 -1.70513820 52 -16.71889997 -0.32140562 53 -5.39619668 -16.71889997 54 -0.47255579 -5.39619668 55 -26.75888690 -0.47255579 56 -9.95891345 -26.75888690 57 75.99675202 -9.95891345 58 -9.77246820 75.99675202 59 -28.86174844 -9.77246820 60 0.39461977 -28.86174844 61 -16.66234062 0.39461977 62 -3.73231422 -16.66234062 63 -40.26170696 -3.73231422 64 -32.52800073 -40.26170696 65 12.38715657 -32.52800073 66 -13.63935930 12.38715657 67 0.72136492 -13.63935930 68 2.82493460 0.72136492 69 -35.08891165 2.82493460 70 84.19206882 -35.08891165 71 33.97580111 84.19206882 72 19.79224235 33.97580111 73 -14.28376600 19.79224235 74 15.88569241 -14.28376600 75 -1.60694672 15.88569241 76 38.09470713 -1.60694672 77 -7.05174731 38.09470713 78 9.74970972 -7.05174731 79 -19.19753243 9.74970972 80 -28.00158066 -19.19753243 81 -7.95771349 -28.00158066 82 -16.98110567 -7.95771349 83 12.26376673 -16.98110567 84 -31.57645875 12.26376673 85 0.54513292 -31.57645875 86 -2.68961782 0.54513292 87 -21.57545470 -2.68961782 88 -18.36608663 -21.57545470 89 -12.87339915 -18.36608663 90 9.33119540 -12.87339915 91 4.17899913 9.33119540 92 14.63729433 4.17899913 93 -4.43579411 14.63729433 94 -17.29431937 -4.43579411 95 -27.13149743 -17.29431937 96 -23.88060642 -27.13149743 97 15.37160481 -23.88060642 98 -35.06428923 15.37160481 99 -20.33982215 -35.06428923 100 -37.97573919 -20.33982215 101 176.73094923 -37.97573919 102 -28.42605506 176.73094923 103 66.74032579 -28.42605506 104 14.61010725 66.74032579 105 7.63309989 14.61010725 106 -39.29270827 7.63309989 107 8.60894418 -39.29270827 108 24.59527746 8.60894418 109 17.22554658 24.59527746 110 -19.45652639 17.22554658 111 11.56418943 -19.45652639 112 -12.67295461 11.56418943 113 -10.75247321 -12.67295461 114 -19.87818720 -10.75247321 115 -17.19741654 -19.87818720 116 30.59526713 -17.19741654 117 13.34714352 30.59526713 118 6.69635652 13.34714352 119 22.37368372 6.69635652 120 -22.36612151 22.37368372 121 -2.24994014 -22.36612151 122 -15.72871813 -2.24994014 123 -19.51352322 -15.72871813 124 -3.70481300 -19.51352322 125 -10.26830180 -3.70481300 126 -24.38625849 -10.26830180 127 -12.49499344 -24.38625849 128 18.04401139 -12.49499344 129 13.73292296 18.04401139 130 6.26215394 13.73292296 131 4.86213111 6.26215394 132 -8.64012259 4.86213111 133 -1.40406698 -8.64012259 134 -8.44245800 -1.40406698 135 -15.23953981 -8.44245800 136 -9.06440063 -15.23953981 137 -21.99963723 -9.06440063 138 -15.52437600 -21.99963723 139 0.74451719 -15.52437600 140 -0.86432354 0.74451719 141 -20.39495309 -0.86432354 142 36.85404095 -20.39495309 143 -5.95596635 36.85404095 144 -24.33218915 -5.95596635 145 -9.95813825 -24.33218915 146 -6.99715392 -9.95813825 147 9.65510766 -6.99715392 148 -0.85536722 9.65510766 149 -4.38435231 -0.85536722 150 -19.17864151 -4.38435231 151 -7.51097162 -19.17864151 152 98.27148408 -7.51097162 153 -11.65492207 98.27148408 154 4.36350296 -11.65492207 155 0.01926948 4.36350296 156 26.60895369 0.01926948 157 -21.13043925 26.60895369 158 20.66682591 -21.13043925 159 0.91463569 20.66682591 160 -6.81644380 0.91463569 161 -25.23592235 -6.81644380 162 -0.39326713 -25.23592235 163 -5.52999297 -0.39326713 164 9.45445749 -5.52999297 165 -17.25265639 9.45445749 166 -4.55685602 -17.25265639 167 -14.41860568 -4.55685602 168 -22.08570497 -14.41860568 169 -12.27541162 -22.08570497 170 -27.22110562 -12.27541162 171 NA -27.22110562 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -8.38488481 -21.49463716 [2,] -20.18319035 -8.38488481 [3,] 7.06864799 -20.18319035 [4,] -20.32183315 7.06864799 [5,] -30.56150178 -20.32183315 [6,] 5.12827327 -30.56150178 [7,] -6.74412695 5.12827327 [8,] 41.56882172 -6.74412695 [9,] -33.35206590 41.56882172 [10,] 44.98082612 -33.35206590 [11,] -30.35861351 44.98082612 [12,] -29.29147003 -30.35861351 [13,] 3.17826175 -29.29147003 [14,] -25.93434638 3.17826175 [15,] 26.50702726 -25.93434638 [16,] 37.23190678 26.50702726 [17,] -7.66450172 37.23190678 [18,] -14.42951004 -7.66450172 [19,] -25.10770573 -14.42951004 [20,] -11.16905949 -25.10770573 [21,] -9.83758209 -11.16905949 [22,] 18.66510147 -9.83758209 [23,] -3.18213196 18.66510147 [24,] -12.81956667 -3.18213196 [25,] 34.17315883 -12.81956667 [26,] 65.05364763 34.17315883 [27,] -13.53468724 65.05364763 [28,] 50.20185548 -13.53468724 [29,] -4.86920444 50.20185548 [30,] -21.27023082 -4.86920444 [31,] 40.33504400 -21.27023082 [32,] -15.28746076 40.33504400 [33,] -4.82444830 -15.28746076 [34,] 1.67674800 -4.82444830 [35,] 176.42673885 1.67674800 [36,] -31.51500936 176.42673885 [37,] -29.14256960 -31.51500936 [38,] 91.69978753 -29.14256960 [39,] -2.82776804 91.69978753 [40,] 12.85046982 -2.82776804 [41,] 10.85370297 12.85046982 [42,] -6.99174255 10.85370297 [43,] -9.87556498 -6.99174255 [44,] 33.26125763 -9.87556498 [45,] 43.84603968 33.26125763 [46,] -21.89952508 43.84603968 [47,] -14.07220910 -21.89952508 [48,] -23.72441214 -14.07220910 [49,] -37.68440354 -23.72441214 [50,] -1.70513820 -37.68440354 [51,] -0.32140562 -1.70513820 [52,] -16.71889997 -0.32140562 [53,] -5.39619668 -16.71889997 [54,] -0.47255579 -5.39619668 [55,] -26.75888690 -0.47255579 [56,] -9.95891345 -26.75888690 [57,] 75.99675202 -9.95891345 [58,] -9.77246820 75.99675202 [59,] -28.86174844 -9.77246820 [60,] 0.39461977 -28.86174844 [61,] -16.66234062 0.39461977 [62,] -3.73231422 -16.66234062 [63,] -40.26170696 -3.73231422 [64,] -32.52800073 -40.26170696 [65,] 12.38715657 -32.52800073 [66,] -13.63935930 12.38715657 [67,] 0.72136492 -13.63935930 [68,] 2.82493460 0.72136492 [69,] -35.08891165 2.82493460 [70,] 84.19206882 -35.08891165 [71,] 33.97580111 84.19206882 [72,] 19.79224235 33.97580111 [73,] -14.28376600 19.79224235 [74,] 15.88569241 -14.28376600 [75,] -1.60694672 15.88569241 [76,] 38.09470713 -1.60694672 [77,] -7.05174731 38.09470713 [78,] 9.74970972 -7.05174731 [79,] -19.19753243 9.74970972 [80,] -28.00158066 -19.19753243 [81,] -7.95771349 -28.00158066 [82,] -16.98110567 -7.95771349 [83,] 12.26376673 -16.98110567 [84,] -31.57645875 12.26376673 [85,] 0.54513292 -31.57645875 [86,] -2.68961782 0.54513292 [87,] -21.57545470 -2.68961782 [88,] -18.36608663 -21.57545470 [89,] -12.87339915 -18.36608663 [90,] 9.33119540 -12.87339915 [91,] 4.17899913 9.33119540 [92,] 14.63729433 4.17899913 [93,] -4.43579411 14.63729433 [94,] -17.29431937 -4.43579411 [95,] -27.13149743 -17.29431937 [96,] -23.88060642 -27.13149743 [97,] 15.37160481 -23.88060642 [98,] -35.06428923 15.37160481 [99,] -20.33982215 -35.06428923 [100,] -37.97573919 -20.33982215 [101,] 176.73094923 -37.97573919 [102,] -28.42605506 176.73094923 [103,] 66.74032579 -28.42605506 [104,] 14.61010725 66.74032579 [105,] 7.63309989 14.61010725 [106,] -39.29270827 7.63309989 [107,] 8.60894418 -39.29270827 [108,] 24.59527746 8.60894418 [109,] 17.22554658 24.59527746 [110,] -19.45652639 17.22554658 [111,] 11.56418943 -19.45652639 [112,] -12.67295461 11.56418943 [113,] -10.75247321 -12.67295461 [114,] -19.87818720 -10.75247321 [115,] -17.19741654 -19.87818720 [116,] 30.59526713 -17.19741654 [117,] 13.34714352 30.59526713 [118,] 6.69635652 13.34714352 [119,] 22.37368372 6.69635652 [120,] -22.36612151 22.37368372 [121,] -2.24994014 -22.36612151 [122,] -15.72871813 -2.24994014 [123,] -19.51352322 -15.72871813 [124,] -3.70481300 -19.51352322 [125,] -10.26830180 -3.70481300 [126,] -24.38625849 -10.26830180 [127,] -12.49499344 -24.38625849 [128,] 18.04401139 -12.49499344 [129,] 13.73292296 18.04401139 [130,] 6.26215394 13.73292296 [131,] 4.86213111 6.26215394 [132,] -8.64012259 4.86213111 [133,] -1.40406698 -8.64012259 [134,] -8.44245800 -1.40406698 [135,] -15.23953981 -8.44245800 [136,] -9.06440063 -15.23953981 [137,] -21.99963723 -9.06440063 [138,] -15.52437600 -21.99963723 [139,] 0.74451719 -15.52437600 [140,] -0.86432354 0.74451719 [141,] -20.39495309 -0.86432354 [142,] 36.85404095 -20.39495309 [143,] -5.95596635 36.85404095 [144,] -24.33218915 -5.95596635 [145,] -9.95813825 -24.33218915 [146,] -6.99715392 -9.95813825 [147,] 9.65510766 -6.99715392 [148,] -0.85536722 9.65510766 [149,] -4.38435231 -0.85536722 [150,] -19.17864151 -4.38435231 [151,] -7.51097162 -19.17864151 [152,] 98.27148408 -7.51097162 [153,] -11.65492207 98.27148408 [154,] 4.36350296 -11.65492207 [155,] 0.01926948 4.36350296 [156,] 26.60895369 0.01926948 [157,] -21.13043925 26.60895369 [158,] 20.66682591 -21.13043925 [159,] 0.91463569 20.66682591 [160,] -6.81644380 0.91463569 [161,] -25.23592235 -6.81644380 [162,] -0.39326713 -25.23592235 [163,] -5.52999297 -0.39326713 [164,] 9.45445749 -5.52999297 [165,] -17.25265639 9.45445749 [166,] -4.55685602 -17.25265639 [167,] -14.41860568 -4.55685602 [168,] -22.08570497 -14.41860568 [169,] -12.27541162 -22.08570497 [170,] -27.22110562 -12.27541162 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -8.38488481 -21.49463716 2 -20.18319035 -8.38488481 3 7.06864799 -20.18319035 4 -20.32183315 7.06864799 5 -30.56150178 -20.32183315 6 5.12827327 -30.56150178 7 -6.74412695 5.12827327 8 41.56882172 -6.74412695 9 -33.35206590 41.56882172 10 44.98082612 -33.35206590 11 -30.35861351 44.98082612 12 -29.29147003 -30.35861351 13 3.17826175 -29.29147003 14 -25.93434638 3.17826175 15 26.50702726 -25.93434638 16 37.23190678 26.50702726 17 -7.66450172 37.23190678 18 -14.42951004 -7.66450172 19 -25.10770573 -14.42951004 20 -11.16905949 -25.10770573 21 -9.83758209 -11.16905949 22 18.66510147 -9.83758209 23 -3.18213196 18.66510147 24 -12.81956667 -3.18213196 25 34.17315883 -12.81956667 26 65.05364763 34.17315883 27 -13.53468724 65.05364763 28 50.20185548 -13.53468724 29 -4.86920444 50.20185548 30 -21.27023082 -4.86920444 31 40.33504400 -21.27023082 32 -15.28746076 40.33504400 33 -4.82444830 -15.28746076 34 1.67674800 -4.82444830 35 176.42673885 1.67674800 36 -31.51500936 176.42673885 37 -29.14256960 -31.51500936 38 91.69978753 -29.14256960 39 -2.82776804 91.69978753 40 12.85046982 -2.82776804 41 10.85370297 12.85046982 42 -6.99174255 10.85370297 43 -9.87556498 -6.99174255 44 33.26125763 -9.87556498 45 43.84603968 33.26125763 46 -21.89952508 43.84603968 47 -14.07220910 -21.89952508 48 -23.72441214 -14.07220910 49 -37.68440354 -23.72441214 50 -1.70513820 -37.68440354 51 -0.32140562 -1.70513820 52 -16.71889997 -0.32140562 53 -5.39619668 -16.71889997 54 -0.47255579 -5.39619668 55 -26.75888690 -0.47255579 56 -9.95891345 -26.75888690 57 75.99675202 -9.95891345 58 -9.77246820 75.99675202 59 -28.86174844 -9.77246820 60 0.39461977 -28.86174844 61 -16.66234062 0.39461977 62 -3.73231422 -16.66234062 63 -40.26170696 -3.73231422 64 -32.52800073 -40.26170696 65 12.38715657 -32.52800073 66 -13.63935930 12.38715657 67 0.72136492 -13.63935930 68 2.82493460 0.72136492 69 -35.08891165 2.82493460 70 84.19206882 -35.08891165 71 33.97580111 84.19206882 72 19.79224235 33.97580111 73 -14.28376600 19.79224235 74 15.88569241 -14.28376600 75 -1.60694672 15.88569241 76 38.09470713 -1.60694672 77 -7.05174731 38.09470713 78 9.74970972 -7.05174731 79 -19.19753243 9.74970972 80 -28.00158066 -19.19753243 81 -7.95771349 -28.00158066 82 -16.98110567 -7.95771349 83 12.26376673 -16.98110567 84 -31.57645875 12.26376673 85 0.54513292 -31.57645875 86 -2.68961782 0.54513292 87 -21.57545470 -2.68961782 88 -18.36608663 -21.57545470 89 -12.87339915 -18.36608663 90 9.33119540 -12.87339915 91 4.17899913 9.33119540 92 14.63729433 4.17899913 93 -4.43579411 14.63729433 94 -17.29431937 -4.43579411 95 -27.13149743 -17.29431937 96 -23.88060642 -27.13149743 97 15.37160481 -23.88060642 98 -35.06428923 15.37160481 99 -20.33982215 -35.06428923 100 -37.97573919 -20.33982215 101 176.73094923 -37.97573919 102 -28.42605506 176.73094923 103 66.74032579 -28.42605506 104 14.61010725 66.74032579 105 7.63309989 14.61010725 106 -39.29270827 7.63309989 107 8.60894418 -39.29270827 108 24.59527746 8.60894418 109 17.22554658 24.59527746 110 -19.45652639 17.22554658 111 11.56418943 -19.45652639 112 -12.67295461 11.56418943 113 -10.75247321 -12.67295461 114 -19.87818720 -10.75247321 115 -17.19741654 -19.87818720 116 30.59526713 -17.19741654 117 13.34714352 30.59526713 118 6.69635652 13.34714352 119 22.37368372 6.69635652 120 -22.36612151 22.37368372 121 -2.24994014 -22.36612151 122 -15.72871813 -2.24994014 123 -19.51352322 -15.72871813 124 -3.70481300 -19.51352322 125 -10.26830180 -3.70481300 126 -24.38625849 -10.26830180 127 -12.49499344 -24.38625849 128 18.04401139 -12.49499344 129 13.73292296 18.04401139 130 6.26215394 13.73292296 131 4.86213111 6.26215394 132 -8.64012259 4.86213111 133 -1.40406698 -8.64012259 134 -8.44245800 -1.40406698 135 -15.23953981 -8.44245800 136 -9.06440063 -15.23953981 137 -21.99963723 -9.06440063 138 -15.52437600 -21.99963723 139 0.74451719 -15.52437600 140 -0.86432354 0.74451719 141 -20.39495309 -0.86432354 142 36.85404095 -20.39495309 143 -5.95596635 36.85404095 144 -24.33218915 -5.95596635 145 -9.95813825 -24.33218915 146 -6.99715392 -9.95813825 147 9.65510766 -6.99715392 148 -0.85536722 9.65510766 149 -4.38435231 -0.85536722 150 -19.17864151 -4.38435231 151 -7.51097162 -19.17864151 152 98.27148408 -7.51097162 153 -11.65492207 98.27148408 154 4.36350296 -11.65492207 155 0.01926948 4.36350296 156 26.60895369 0.01926948 157 -21.13043925 26.60895369 158 20.66682591 -21.13043925 159 0.91463569 20.66682591 160 -6.81644380 0.91463569 161 -25.23592235 -6.81644380 162 -0.39326713 -25.23592235 163 -5.52999297 -0.39326713 164 9.45445749 -5.52999297 165 -17.25265639 9.45445749 166 -4.55685602 -17.25265639 167 -14.41860568 -4.55685602 168 -22.08570497 -14.41860568 169 -12.27541162 -22.08570497 170 -27.22110562 -12.27541162 > 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/7mak31323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/89gyb1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/975sm1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10wb4g1323864652.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11v6rt1323864652.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/12bhqa1323864652.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/13h02q1323864652.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/14ldg71323864652.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/15n1bw1323864652.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/16ha8p1323864652.tab") + } > > try(system("convert tmp/12r6h1323864652.ps tmp/12r6h1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/2eqii1323864652.ps tmp/2eqii1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/3jj1b1323864652.ps tmp/3jj1b1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/4y5pw1323864652.ps tmp/4y5pw1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/5y0ar1323864652.ps tmp/5y0ar1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/68kbq1323864652.ps tmp/68kbq1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/7mak31323864652.ps tmp/7mak31323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/89gyb1323864652.ps tmp/89gyb1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/975sm1323864652.ps tmp/975sm1323864652.png",intern=TRUE)) character(0) > try(system("convert tmp/10wb4g1323864652.ps tmp/10wb4g1323864652.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.061 0.556 6.015