R version 2.12.1 (2010-12-16) 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(7 + ,41 + ,38 + ,13 + ,12 + ,14 + ,12 + ,53 + ,5 + ,39 + ,32 + ,16 + ,11 + ,18 + ,11 + ,86 + ,5 + ,30 + ,35 + ,19 + ,15 + ,11 + ,14 + ,66 + ,5 + ,31 + ,33 + ,15 + ,6 + ,12 + ,12 + ,67 + ,8 + ,34 + ,37 + ,14 + ,13 + ,16 + ,21 + ,76 + ,6 + ,35 + ,29 + ,13 + ,10 + ,18 + ,12 + ,78 + ,5 + ,39 + ,31 + ,19 + ,12 + ,14 + ,22 + ,53 + ,6 + ,34 + ,36 + ,15 + ,14 + ,14 + ,11 + ,80 + ,5 + ,36 + ,35 + ,14 + ,12 + ,15 + ,10 + ,74 + ,4 + ,37 + ,38 + ,15 + ,6 + ,15 + ,13 + ,76 + ,6 + ,38 + ,31 + ,16 + ,10 + ,17 + ,10 + ,79 + ,5 + ,36 + ,34 + ,16 + ,12 + ,19 + ,8 + ,54 + ,5 + ,38 + ,35 + ,16 + ,12 + ,10 + ,15 + ,67 + ,6 + ,39 + ,38 + ,16 + ,11 + ,16 + ,14 + ,54 + ,7 + ,33 + ,37 + ,17 + ,15 + ,18 + ,10 + ,87 + ,6 + ,32 + ,33 + ,15 + ,12 + ,14 + ,14 + ,58 + ,7 + ,36 + ,32 + ,15 + ,10 + ,14 + ,14 + ,75 + ,6 + ,38 + ,38 + ,20 + ,12 + ,17 + ,11 + ,88 + ,8 + ,39 + ,38 + ,18 + ,11 + ,14 + ,10 + ,64 + ,7 + ,32 + ,32 + ,16 + ,12 + ,16 + ,13 + ,57 + ,5 + ,32 + ,33 + ,16 + 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,17 + ,10 + ,74 + ,7 + ,33 + ,36 + ,15 + ,9 + ,19 + ,11 + ,81 + ,5 + ,35 + ,33 + ,12 + ,11 + ,15 + ,13 + ,72 + ,5 + ,32 + ,33 + ,16 + ,10 + ,13 + ,11 + ,71 + ,5 + ,28 + ,32 + ,10 + ,11 + ,9 + ,20 + ,66 + ,6 + ,40 + ,37 + ,16 + ,8 + ,15 + ,10 + ,77 + ,4 + ,27 + ,30 + ,12 + ,11 + ,15 + ,15 + ,65 + ,5 + ,37 + ,38 + ,14 + ,12 + ,15 + ,12 + ,74 + ,7 + ,32 + ,29 + ,15 + ,12 + ,16 + ,14 + ,82 + ,5 + ,28 + ,22 + ,13 + ,9 + ,11 + ,23 + ,54 + ,7 + ,34 + ,35 + ,15 + ,11 + ,14 + ,14 + ,63 + ,7 + ,30 + ,35 + ,11 + ,10 + ,11 + ,16 + ,54 + ,6 + ,35 + ,34 + ,12 + ,8 + ,15 + ,11 + ,64 + ,5 + ,31 + ,35 + ,8 + ,9 + ,13 + ,12 + ,69 + ,8 + ,32 + ,34 + ,16 + ,8 + ,15 + ,10 + ,54 + ,5 + ,30 + ,34 + ,15 + ,9 + ,16 + ,14 + ,84 + ,5 + ,30 + ,35 + ,17 + ,15 + ,14 + ,12 + ,86 + ,5 + ,31 + ,23 + ,16 + ,11 + ,15 + ,12 + ,77 + ,6 + ,40 + ,31 + ,10 + ,8 + ,16 + ,11 + ,89 + ,4 + ,32 + ,27 + ,18 + ,13 + ,16 + ,12 + ,76 + ,5 + ,36 + ,36 + ,13 + ,12 + ,11 + ,13 + ,60 + ,5 + ,32 + ,31 + ,16 + ,12 + ,12 + ,11 + ,75 + ,7 + ,35 + ,32 + ,13 + ,9 + ,9 + ,19 + ,73 + ,6 + ,38 + ,39 + ,10 + ,7 + ,16 + ,12 + ,85 + ,7 + ,42 + ,37 + ,15 + ,13 + ,13 + ,17 + ,79 + ,10 + ,34 + ,38 + ,16 + ,9 + ,16 + ,9 + ,71 + ,6 + ,35 + ,39 + ,16 + ,6 + ,12 + ,12 + ,72 + ,8 + ,35 + ,34 + ,14 + ,8 + ,9 + ,19 + ,69 + ,4 + ,33 + ,31 + ,10 + ,8 + ,13 + ,18 + ,78 + ,5 + ,36 + ,32 + ,17 + ,15 + ,13 + ,15 + ,54 + ,6 + ,32 + ,37 + ,13 + ,6 + ,14 + ,14 + ,69 + ,7 + ,33 + ,36 + ,15 + ,9 + ,19 + ,11 + ,81 + ,7 + ,34 + ,32 + ,16 + ,11 + ,13 + ,9 + ,84 + ,6 + ,32 + ,35 + ,12 + ,8 + ,12 + ,18 + ,84) + ,dim=c(8 + ,161) + ,dimnames=list(c('age' + ,'connected' + ,'separated' + ,'learning' + ,'software' + ,'hapiness' + ,'depression' + ,'belonging') + ,1:161)) > y <- array(NA,dim=c(8,161),dimnames=list(c('age','connected','separated','learning','software','hapiness','depression','belonging'),1:161)) > 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 = '8' > #'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 belonging age connected separated learning software hapiness depression 1 53 7 41 38 13 12 14 12 2 86 5 39 32 16 11 18 11 3 66 5 30 35 19 15 11 14 4 67 5 31 33 15 6 12 12 5 76 8 34 37 14 13 16 21 6 78 6 35 29 13 10 18 12 7 53 5 39 31 19 12 14 22 8 80 6 34 36 15 14 14 11 9 74 5 36 35 14 12 15 10 10 76 4 37 38 15 6 15 13 11 79 6 38 31 16 10 17 10 12 54 5 36 34 16 12 19 8 13 67 5 38 35 16 12 10 15 14 54 6 39 38 16 11 16 14 15 87 7 33 37 17 15 18 10 16 58 6 32 33 15 12 14 14 17 75 7 36 32 15 10 14 14 18 88 6 38 38 20 12 17 11 19 64 8 39 38 18 11 14 10 20 57 7 32 32 16 12 16 13 21 66 5 32 33 16 11 18 7 22 68 5 31 31 16 12 11 14 23 54 7 39 38 19 13 14 12 24 56 7 37 39 16 11 12 14 25 86 5 39 32 17 9 17 11 26 80 4 41 32 17 13 9 9 27 76 10 36 35 16 10 16 11 28 69 6 33 37 15 14 14 15 29 78 5 33 33 16 12 15 14 30 67 5 34 33 14 10 11 13 31 80 5 31 28 15 12 16 9 32 54 5 27 32 12 8 13 15 33 71 6 37 31 14 10 17 10 34 84 5 34 37 16 12 15 11 35 74 5 34 30 14 12 14 13 36 71 5 32 33 7 7 16 8 37 63 5 29 31 10 6 9 20 38 71 5 36 33 14 12 15 12 39 76 5 29 31 16 10 17 10 40 69 5 35 33 16 10 13 10 41 74 5 37 32 16 10 15 9 42 75 7 34 33 14 12 16 14 43 54 5 38 32 20 15 16 8 44 52 6 35 33 14 10 12 14 45 69 7 38 28 14 10 12 11 46 68 7 37 35 11 12 11 13 47 65 5 38 39 14 13 15 9 48 75 5 33 34 15 11 15 11 49 74 4 36 38 16 11 17 15 50 75 5 38 32 14 12 13 11 51 72 4 32 38 16 14 16 10 52 67 5 32 30 14 10 14 14 53 63 5 32 33 12 12 11 18 54 62 7 34 38 16 13 12 14 55 63 5 32 32 9 5 12 11 56 76 5 37 32 14 6 15 12 57 74 6 39 34 16 12 16 13 58 67 4 29 34 16 12 15 9 59 73 6 37 36 15 11 12 10 60 70 6 35 34 16 10 12 15 61 53 5 30 28 12 7 8 20 62 77 7 38 34 16 12 13 12 63 77 6 34 35 16 14 11 12 64 52 8 31 35 14 11 14 14 65 54 7 34 31 16 12 15 13 66 80 5 35 37 17 13 10 11 67 66 6 36 35 18 14 11 17 68 73 6 30 27 18 11 12 12 69 63 5 39 40 12 12 15 13 70 69 5 35 37 16 12 15 14 71 67 5 38 36 10 8 14 13 72 54 5 31 38 14 11 16 15 73 81 4 34 39 18 14 15 13 74 69 6 38 41 18 14 15 10 75 84 6 34 27 16 12 13 11 76 80 6 39 30 17 9 12 19 77 70 6 37 37 16 13 17 13 78 69 7 34 31 16 11 13 17 79 77 5 28 31 13 12 15 13 80 54 7 37 27 16 12 13 9 81 79 6 33 36 16 12 15 11 82 30 5 37 38 20 12 16 10 83 71 5 35 37 16 12 15 9 84 73 4 37 33 15 12 16 12 85 72 8 32 34 15 11 15 12 86 77 8 33 31 16 10 14 13 87 75 5 38 39 14 9 15 13 88 69 5 33 34 16 12 14 12 89 54 6 29 32 16 12 13 15 90 70 4 33 33 15 12 7 22 91 73 5 31 36 12 9 17 13 92 54 5 36 32 17 15 13 15 93 77 5 35 41 16 12 15 13 94 82 5 32 28 15 12 14 15 95 80 6 29 30 13 12 13 10 96 80 6 39 36 16 10 16 11 97 69 5 37 35 16 13 12 16 98 78 6 35 31 16 9 14 11 99 81 5 37 34 16 12 17 11 100 76 7 32 36 14 10 15 10 101 76 5 38 36 16 14 17 10 102 73 6 37 35 16 11 12 16 103 85 6 36 37 20 15 16 12 104 66 6 32 28 15 11 11 11 105 79 4 33 39 16 11 15 16 106 68 5 40 32 13 12 9 19 107 76 5 38 35 17 12 16 11 108 71 7 41 39 16 12 15 16 109 54 6 36 35 16 11 10 15 110 46 9 43 42 12 7 10 24 111 82 6 30 34 16 12 15 14 112 74 6 31 33 16 14 11 15 113 88 5 32 41 17 11 13 11 114 38 6 32 33 13 11 14 15 115 76 5 37 34 12 10 18 12 116 86 8 37 32 18 13 16 10 117 54 7 33 40 14 13 14 14 118 70 5 34 40 14 8 14 13 119 69 7 33 35 13 11 14 9 120 90 6 38 36 16 12 14 15 121 54 6 33 37 13 11 12 15 122 76 9 31 27 16 13 14 14 123 89 7 38 39 13 12 15 11 124 76 6 37 38 16 14 15 8 125 73 5 33 31 15 13 15 11 126 79 5 31 33 16 15 13 11 127 90 6 39 32 15 10 17 8 128 74 6 44 39 17 11 17 10 129 81 7 33 36 15 9 19 11 130 72 5 35 33 12 11 15 13 131 71 5 32 33 16 10 13 11 132 66 5 28 32 10 11 9 20 133 77 6 40 37 16 8 15 10 134 65 4 27 30 12 11 15 15 135 74 5 37 38 14 12 15 12 136 82 7 32 29 15 12 16 14 137 54 5 28 22 13 9 11 23 138 63 7 34 35 15 11 14 14 139 54 7 30 35 11 10 11 16 140 64 6 35 34 12 8 15 11 141 69 5 31 35 8 9 13 12 142 54 8 32 34 16 8 15 10 143 84 5 30 34 15 9 16 14 144 86 5 30 35 17 15 14 12 145 77 5 31 23 16 11 15 12 146 89 6 40 31 10 8 16 11 147 76 4 32 27 18 13 16 12 148 60 5 36 36 13 12 11 13 149 75 5 32 31 16 12 12 11 150 73 7 35 32 13 9 9 19 151 85 6 38 39 10 7 16 12 152 79 7 42 37 15 13 13 17 153 71 10 34 38 16 9 16 9 154 72 6 35 39 16 6 12 12 155 69 8 35 34 14 8 9 19 156 78 4 33 31 10 8 13 18 157 54 5 36 32 17 15 13 15 158 69 6 32 37 13 6 14 14 159 81 7 33 36 15 9 19 11 160 84 7 34 32 16 11 13 9 161 84 6 32 35 12 8 12 18 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) age connected separated learning software 68.67914 -0.63961 0.22919 -0.26103 0.07341 -0.04058 hapiness depression 0.92489 -0.53748 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -44.447 -4.164 0.947 6.703 20.273 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 68.67914 13.83679 4.964 1.83e-06 *** age -0.63961 0.71680 -0.892 0.3736 connected 0.22919 0.26836 0.854 0.3944 separated -0.26103 0.25000 -1.044 0.2981 learning 0.07341 0.45125 0.163 0.8710 software -0.04058 0.46097 -0.088 0.9300 hapiness 0.92489 0.42126 2.196 0.0296 * depression -0.53748 0.31252 -1.720 0.0875 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 10.35 on 153 degrees of freedom Multiple R-squared: 0.1143, Adjusted R-squared: 0.07378 F-statistic: 2.821 on 7 and 153 DF, p-value: 0.008607 > 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,] 0.10409363 0.20818726 0.89590637 [2,] 0.96425297 0.07149406 0.03574703 [3,] 0.93807280 0.12385439 0.06192720 [4,] 0.91992450 0.16015100 0.08007550 [5,] 0.93633312 0.12733377 0.06366688 [6,] 0.95255402 0.09489196 0.04744598 [7,] 0.92985560 0.14028880 0.07014440 [8,] 0.93241128 0.13517744 0.06758872 [9,] 0.92690575 0.14618851 0.07309425 [10,] 0.95205546 0.09588908 0.04794454 [11,] 0.95053196 0.09893607 0.04946804 [12,] 0.92964409 0.14071182 0.07035591 [13,] 0.93905905 0.12188190 0.06094095 [14,] 0.92696017 0.14607967 0.07303983 [15,] 0.93364929 0.13270142 0.06635071 [16,] 0.93720031 0.12559938 0.06279969 [17,] 0.92413604 0.15172793 0.07586396 [18,] 0.90044774 0.19910452 0.09955226 [19,] 0.88342549 0.23314902 0.11657451 [20,] 0.84891898 0.30216205 0.15108102 [21,] 0.81105698 0.37788605 0.18894302 [22,] 0.81820977 0.36358047 0.18179023 [23,] 0.78154794 0.43690412 0.21845206 [24,] 0.80041670 0.39916661 0.19958330 [25,] 0.75894024 0.48211952 0.24105976 [26,] 0.71185058 0.57629884 0.28814942 [27,] 0.67248048 0.65503903 0.32751952 [28,] 0.61911201 0.76177597 0.38088799 [29,] 0.56306780 0.87386441 0.43693220 [30,] 0.50973222 0.98053556 0.49026778 [31,] 0.45355794 0.90711587 0.54644206 [32,] 0.41040143 0.82080285 0.58959857 [33,] 0.61001837 0.77996325 0.38998163 [34,] 0.66028892 0.67942217 0.33971108 [35,] 0.61245388 0.77509224 0.38754612 [36,] 0.56401990 0.87196020 0.43598010 [37,] 0.53448834 0.93102333 0.46551166 [38,] 0.48746392 0.97492783 0.51253608 [39,] 0.43909355 0.87818710 0.56090645 [40,] 0.39751048 0.79502097 0.60248952 [41,] 0.34875318 0.69750635 0.65124682 [42,] 0.30725751 0.61451501 0.69274249 [43,] 0.26408824 0.52817649 0.73591176 [44,] 0.22699883 0.45399766 0.77300117 [45,] 0.20263654 0.40527308 0.79736346 [46,] 0.17450491 0.34900983 0.82549509 [47,] 0.14552575 0.29105149 0.85447425 [48,] 0.12744243 0.25488486 0.87255757 [49,] 0.10859156 0.21718312 0.89140844 [50,] 0.08973891 0.17947782 0.91026109 [51,] 0.08348749 0.16697498 0.91651251 [52,] 0.07646739 0.15293478 0.92353261 [53,] 0.07617407 0.15234814 0.92382593 [54,] 0.09384007 0.18768015 0.90615993 [55,] 0.12916481 0.25832962 0.87083519 [56,] 0.14070735 0.28141469 0.85929265 [57,] 0.11558895 0.23117789 0.88441105 [58,] 0.09737928 0.19475855 0.90262072 [59,] 0.08784190 0.17568379 0.91215810 [60,] 0.07063496 0.14126992 0.92936504 [61,] 0.05794315 0.11588630 0.94205685 [62,] 0.07425578 0.14851157 0.92574422 [63,] 0.07354658 0.14709315 0.92645342 [64,] 0.05931625 0.11863251 0.94068375 [65,] 0.06309033 0.12618066 0.93690967 [66,] 0.07092786 0.14185572 0.92907214 [67,] 0.05780599 0.11561197 0.94219401 [68,] 0.04580537 0.09161074 0.95419463 [69,] 0.03969445 0.07938889 0.96030555 [70,] 0.07626816 0.15253631 0.92373184 [71,] 0.06999691 0.13999383 0.93000309 [72,] 0.73441653 0.53116693 0.26558347 [73,] 0.70421894 0.59156212 0.29578106 [74,] 0.67125286 0.65749428 0.32874714 [75,] 0.63272334 0.73455332 0.36727666 [76,] 0.61190547 0.77618905 0.38809453 [77,] 0.57808432 0.84383137 0.42191568 [78,] 0.53959640 0.92080719 0.46040360 [79,] 0.58408843 0.83182314 0.41591157 [80,] 0.57400190 0.85199620 0.42599810 [81,] 0.53263814 0.93472372 0.46736186 [82,] 0.62764282 0.74471435 0.37235718 [83,] 0.59891255 0.80217489 0.40108745 [84,] 0.59480750 0.81038500 0.40519250 [85,] 0.58374156 0.83251688 0.41625844 [86,] 0.55260107 0.89479787 0.44739893 [87,] 0.50599010 0.98801979 0.49400990 [88,] 0.46821871 0.93643741 0.53178129 [89,] 0.43100039 0.86200078 0.56899961 [90,] 0.39401844 0.78803688 0.60598156 [91,] 0.35848244 0.71696489 0.64151756 [92,] 0.32243867 0.64487734 0.67756133 [93,] 0.31910996 0.63821993 0.68089004 [94,] 0.28378372 0.56756743 0.71621628 [95,] 0.26592834 0.53185668 0.73407166 [96,] 0.22864910 0.45729820 0.77135090 [97,] 0.19736011 0.39472022 0.80263989 [98,] 0.16577757 0.33155514 0.83422243 [99,] 0.18456978 0.36913957 0.81543022 [100,] 0.20992548 0.41985096 0.79007452 [101,] 0.21567601 0.43135201 0.78432399 [102,] 0.19574958 0.39149915 0.80425042 [103,] 0.28068541 0.56137082 0.71931459 [104,] 0.70397632 0.59204735 0.29602368 [105,] 0.67250929 0.65498142 0.32749071 [106,] 0.66195579 0.67608842 0.33804421 [107,] 0.72091356 0.55817288 0.27908644 [108,] 0.67444698 0.65110604 0.32555302 [109,] 0.62843130 0.74313740 0.37156870 [110,] 0.71202179 0.57595642 0.28797821 [111,] 0.76158686 0.47682629 0.23841314 [112,] 0.72913267 0.54173466 0.27086733 [113,] 0.77102620 0.45794759 0.22897380 [114,] 0.72372760 0.55254479 0.27627240 [115,] 0.67332354 0.65335293 0.32667646 [116,] 0.65715712 0.68568575 0.34284288 [117,] 0.65479699 0.69040602 0.34520301 [118,] 0.63660409 0.72679182 0.36339591 [119,] 0.58186796 0.83626409 0.41813204 [120,] 0.52736111 0.94527777 0.47263889 [121,] 0.46175798 0.92351596 0.53824202 [122,] 0.41073348 0.82146696 0.58926652 [123,] 0.35717080 0.71434161 0.64282920 [124,] 0.31394202 0.62788404 0.68605798 [125,] 0.26529142 0.53058284 0.73470858 [126,] 0.25593823 0.51187645 0.74406177 [127,] 0.28003080 0.56006160 0.71996920 [128,] 0.25607473 0.51214947 0.74392527 [129,] 0.28806950 0.57613901 0.71193050 [130,] 0.30814083 0.61628166 0.69185917 [131,] 0.30915637 0.61831273 0.69084363 [132,] 0.56315067 0.87369866 0.43684933 [133,] 0.50663965 0.98672070 0.49336035 [134,] 0.72190053 0.55619893 0.27809947 [135,] 0.65185964 0.69628073 0.34814036 [136,] 0.62630550 0.74738899 0.37369450 [137,] 0.50715622 0.98568756 0.49284378 [138,] 0.47328831 0.94657663 0.52671169 [139,] 0.35813070 0.71626141 0.64186930 [140,] 0.23066170 0.46132340 0.76933830 > postscript(file="/var/www/rcomp/tmp/1ccdq1321539000.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2yy7v1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3g5hu1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/42xey1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/539dv1321539000.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 = 161 Frequency = 1 1 2 3 4 5 6 -17.64552400 8.46961362 -0.65585150 -2.47855093 10.29207336 1.96001584 7 8 9 10 11 12 -15.35923286 9.19398759 0.36484782 3.57465843 2.42421484 -24.81751376 13 14 15 16 17 18 0.07149835 -17.86239497 12.98054194 -11.59944969 4.78122209 13.57641372 19 20 21 22 23 24 -7.03012153 -14.68153101 -11.81496440 0.16933074 -16.58702028 -10.80382130 25 26 27 28 29 30 9.23992868 8.62843487 4.94751808 0.83411631 6.53345149 -1.46800292 31 32 33 34 35 36 4.14781582 -13.83389122 -5.19978032 11.73593705 2.05541204 -3.92935785 37 38 39 40 41 42 0.89931199 -2.08224917 0.84728531 -3.30622336 -1.41288294 3.80541842 43 44 45 46 47 48 -23.19515928 -16.44498816 -2.41050785 0.94710880 -8.54631345 2.21486865 49 50 51 52 53 54 1.15852892 2.51065066 -1.56547732 -4.02990112 -2.09425196 -4.29612136 55 56 57 58 59 60 -7.10637336 2.18403894 0.59660083 -6.61577936 2.69697864 2.20669982 61 62 63 64 65 66 -9.29430143 6.70259183 9.17169976 -15.53615637 -17.47604240 12.09837331 67 68 69 70 71 72 0.25390103 2.80677446 -8.25832401 -1.88081410 -4.16386965 -15.98421514 73 74 75 76 77 78 9.62768367 -3.10022014 11.61505848 12.28176577 -3.04625057 1.48306888 79 80 81 82 83 84 5.84008054 -19.50784692 7.34371001 -44.44660103 -2.56820727 -1.94934799 85 86 87 88 89 90 1.90037343 7.23648163 3.44126928 -2.35558880 -13.78395605 9.66619522 91 92 93 94 95 96 0.55953536 -15.97953851 6.62581578 10.99328027 9.22682319 5.96253192 97 98 99 100 101 102 1.02896729 5.38334124 5.41551479 4.74068334 0.25206926 5.58741442 103 104 105 106 107 108 12.35787804 -3.78293464 9.49437555 3.12507391 1.29883583 1.62030115 109 110 111 112 113 114 -11.87109746 -12.76076638 12.12165281 7.94964257 18.97420754 -30.95573622 115 116 117 118 119 120 0.24057323 12.09347601 -13.24784196 0.50335153 -2.24812779 20.27257911 121 122 123 124 125 126 -12.29103506 6.94958774 17.84069582 2.41774604 -0.48704683 8.35091825 127 128 129 130 131 132 12.45450654 -1.89551640 6.23542367 -0.20934865 -0.08118356 4.59244093 133 134 135 136 137 138 3.30061731 -5.72358935 1.99369943 10.14627512 -10.55656674 -5.93673946 139 140 141 142 143 144 -9.91731181 -8.50541461 -0.24577544 -17.36974158 12.50880997 15.64133946 145 146 147 148 149 150 2.26601408 13.78749665 0.45078079 -7.98872085 4.40281793 10.42848640 151 152 153 154 155 156 12.83098349 11.37031001 0.07343336 3.73706776 7.47616184 9.64959997 157 158 159 160 161 -15.97953851 0.34797891 6.23542367 12.44426694 18.98019368 > postscript(file="/var/www/rcomp/tmp/66ls91321539000.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 = 161 Frequency = 1 lag(myerror, k = 1) myerror 0 -17.64552400 NA 1 8.46961362 -17.64552400 2 -0.65585150 8.46961362 3 -2.47855093 -0.65585150 4 10.29207336 -2.47855093 5 1.96001584 10.29207336 6 -15.35923286 1.96001584 7 9.19398759 -15.35923286 8 0.36484782 9.19398759 9 3.57465843 0.36484782 10 2.42421484 3.57465843 11 -24.81751376 2.42421484 12 0.07149835 -24.81751376 13 -17.86239497 0.07149835 14 12.98054194 -17.86239497 15 -11.59944969 12.98054194 16 4.78122209 -11.59944969 17 13.57641372 4.78122209 18 -7.03012153 13.57641372 19 -14.68153101 -7.03012153 20 -11.81496440 -14.68153101 21 0.16933074 -11.81496440 22 -16.58702028 0.16933074 23 -10.80382130 -16.58702028 24 9.23992868 -10.80382130 25 8.62843487 9.23992868 26 4.94751808 8.62843487 27 0.83411631 4.94751808 28 6.53345149 0.83411631 29 -1.46800292 6.53345149 30 4.14781582 -1.46800292 31 -13.83389122 4.14781582 32 -5.19978032 -13.83389122 33 11.73593705 -5.19978032 34 2.05541204 11.73593705 35 -3.92935785 2.05541204 36 0.89931199 -3.92935785 37 -2.08224917 0.89931199 38 0.84728531 -2.08224917 39 -3.30622336 0.84728531 40 -1.41288294 -3.30622336 41 3.80541842 -1.41288294 42 -23.19515928 3.80541842 43 -16.44498816 -23.19515928 44 -2.41050785 -16.44498816 45 0.94710880 -2.41050785 46 -8.54631345 0.94710880 47 2.21486865 -8.54631345 48 1.15852892 2.21486865 49 2.51065066 1.15852892 50 -1.56547732 2.51065066 51 -4.02990112 -1.56547732 52 -2.09425196 -4.02990112 53 -4.29612136 -2.09425196 54 -7.10637336 -4.29612136 55 2.18403894 -7.10637336 56 0.59660083 2.18403894 57 -6.61577936 0.59660083 58 2.69697864 -6.61577936 59 2.20669982 2.69697864 60 -9.29430143 2.20669982 61 6.70259183 -9.29430143 62 9.17169976 6.70259183 63 -15.53615637 9.17169976 64 -17.47604240 -15.53615637 65 12.09837331 -17.47604240 66 0.25390103 12.09837331 67 2.80677446 0.25390103 68 -8.25832401 2.80677446 69 -1.88081410 -8.25832401 70 -4.16386965 -1.88081410 71 -15.98421514 -4.16386965 72 9.62768367 -15.98421514 73 -3.10022014 9.62768367 74 11.61505848 -3.10022014 75 12.28176577 11.61505848 76 -3.04625057 12.28176577 77 1.48306888 -3.04625057 78 5.84008054 1.48306888 79 -19.50784692 5.84008054 80 7.34371001 -19.50784692 81 -44.44660103 7.34371001 82 -2.56820727 -44.44660103 83 -1.94934799 -2.56820727 84 1.90037343 -1.94934799 85 7.23648163 1.90037343 86 3.44126928 7.23648163 87 -2.35558880 3.44126928 88 -13.78395605 -2.35558880 89 9.66619522 -13.78395605 90 0.55953536 9.66619522 91 -15.97953851 0.55953536 92 6.62581578 -15.97953851 93 10.99328027 6.62581578 94 9.22682319 10.99328027 95 5.96253192 9.22682319 96 1.02896729 5.96253192 97 5.38334124 1.02896729 98 5.41551479 5.38334124 99 4.74068334 5.41551479 100 0.25206926 4.74068334 101 5.58741442 0.25206926 102 12.35787804 5.58741442 103 -3.78293464 12.35787804 104 9.49437555 -3.78293464 105 3.12507391 9.49437555 106 1.29883583 3.12507391 107 1.62030115 1.29883583 108 -11.87109746 1.62030115 109 -12.76076638 -11.87109746 110 12.12165281 -12.76076638 111 7.94964257 12.12165281 112 18.97420754 7.94964257 113 -30.95573622 18.97420754 114 0.24057323 -30.95573622 115 12.09347601 0.24057323 116 -13.24784196 12.09347601 117 0.50335153 -13.24784196 118 -2.24812779 0.50335153 119 20.27257911 -2.24812779 120 -12.29103506 20.27257911 121 6.94958774 -12.29103506 122 17.84069582 6.94958774 123 2.41774604 17.84069582 124 -0.48704683 2.41774604 125 8.35091825 -0.48704683 126 12.45450654 8.35091825 127 -1.89551640 12.45450654 128 6.23542367 -1.89551640 129 -0.20934865 6.23542367 130 -0.08118356 -0.20934865 131 4.59244093 -0.08118356 132 3.30061731 4.59244093 133 -5.72358935 3.30061731 134 1.99369943 -5.72358935 135 10.14627512 1.99369943 136 -10.55656674 10.14627512 137 -5.93673946 -10.55656674 138 -9.91731181 -5.93673946 139 -8.50541461 -9.91731181 140 -0.24577544 -8.50541461 141 -17.36974158 -0.24577544 142 12.50880997 -17.36974158 143 15.64133946 12.50880997 144 2.26601408 15.64133946 145 13.78749665 2.26601408 146 0.45078079 13.78749665 147 -7.98872085 0.45078079 148 4.40281793 -7.98872085 149 10.42848640 4.40281793 150 12.83098349 10.42848640 151 11.37031001 12.83098349 152 0.07343336 11.37031001 153 3.73706776 0.07343336 154 7.47616184 3.73706776 155 9.64959997 7.47616184 156 -15.97953851 9.64959997 157 0.34797891 -15.97953851 158 6.23542367 0.34797891 159 12.44426694 6.23542367 160 18.98019368 12.44426694 161 NA 18.98019368 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 8.46961362 -17.64552400 [2,] -0.65585150 8.46961362 [3,] -2.47855093 -0.65585150 [4,] 10.29207336 -2.47855093 [5,] 1.96001584 10.29207336 [6,] -15.35923286 1.96001584 [7,] 9.19398759 -15.35923286 [8,] 0.36484782 9.19398759 [9,] 3.57465843 0.36484782 [10,] 2.42421484 3.57465843 [11,] -24.81751376 2.42421484 [12,] 0.07149835 -24.81751376 [13,] -17.86239497 0.07149835 [14,] 12.98054194 -17.86239497 [15,] -11.59944969 12.98054194 [16,] 4.78122209 -11.59944969 [17,] 13.57641372 4.78122209 [18,] -7.03012153 13.57641372 [19,] -14.68153101 -7.03012153 [20,] -11.81496440 -14.68153101 [21,] 0.16933074 -11.81496440 [22,] -16.58702028 0.16933074 [23,] -10.80382130 -16.58702028 [24,] 9.23992868 -10.80382130 [25,] 8.62843487 9.23992868 [26,] 4.94751808 8.62843487 [27,] 0.83411631 4.94751808 [28,] 6.53345149 0.83411631 [29,] -1.46800292 6.53345149 [30,] 4.14781582 -1.46800292 [31,] -13.83389122 4.14781582 [32,] -5.19978032 -13.83389122 [33,] 11.73593705 -5.19978032 [34,] 2.05541204 11.73593705 [35,] -3.92935785 2.05541204 [36,] 0.89931199 -3.92935785 [37,] -2.08224917 0.89931199 [38,] 0.84728531 -2.08224917 [39,] -3.30622336 0.84728531 [40,] -1.41288294 -3.30622336 [41,] 3.80541842 -1.41288294 [42,] -23.19515928 3.80541842 [43,] -16.44498816 -23.19515928 [44,] -2.41050785 -16.44498816 [45,] 0.94710880 -2.41050785 [46,] -8.54631345 0.94710880 [47,] 2.21486865 -8.54631345 [48,] 1.15852892 2.21486865 [49,] 2.51065066 1.15852892 [50,] -1.56547732 2.51065066 [51,] -4.02990112 -1.56547732 [52,] -2.09425196 -4.02990112 [53,] -4.29612136 -2.09425196 [54,] -7.10637336 -4.29612136 [55,] 2.18403894 -7.10637336 [56,] 0.59660083 2.18403894 [57,] -6.61577936 0.59660083 [58,] 2.69697864 -6.61577936 [59,] 2.20669982 2.69697864 [60,] -9.29430143 2.20669982 [61,] 6.70259183 -9.29430143 [62,] 9.17169976 6.70259183 [63,] -15.53615637 9.17169976 [64,] -17.47604240 -15.53615637 [65,] 12.09837331 -17.47604240 [66,] 0.25390103 12.09837331 [67,] 2.80677446 0.25390103 [68,] -8.25832401 2.80677446 [69,] -1.88081410 -8.25832401 [70,] -4.16386965 -1.88081410 [71,] -15.98421514 -4.16386965 [72,] 9.62768367 -15.98421514 [73,] -3.10022014 9.62768367 [74,] 11.61505848 -3.10022014 [75,] 12.28176577 11.61505848 [76,] -3.04625057 12.28176577 [77,] 1.48306888 -3.04625057 [78,] 5.84008054 1.48306888 [79,] -19.50784692 5.84008054 [80,] 7.34371001 -19.50784692 [81,] -44.44660103 7.34371001 [82,] -2.56820727 -44.44660103 [83,] -1.94934799 -2.56820727 [84,] 1.90037343 -1.94934799 [85,] 7.23648163 1.90037343 [86,] 3.44126928 7.23648163 [87,] -2.35558880 3.44126928 [88,] -13.78395605 -2.35558880 [89,] 9.66619522 -13.78395605 [90,] 0.55953536 9.66619522 [91,] -15.97953851 0.55953536 [92,] 6.62581578 -15.97953851 [93,] 10.99328027 6.62581578 [94,] 9.22682319 10.99328027 [95,] 5.96253192 9.22682319 [96,] 1.02896729 5.96253192 [97,] 5.38334124 1.02896729 [98,] 5.41551479 5.38334124 [99,] 4.74068334 5.41551479 [100,] 0.25206926 4.74068334 [101,] 5.58741442 0.25206926 [102,] 12.35787804 5.58741442 [103,] -3.78293464 12.35787804 [104,] 9.49437555 -3.78293464 [105,] 3.12507391 9.49437555 [106,] 1.29883583 3.12507391 [107,] 1.62030115 1.29883583 [108,] -11.87109746 1.62030115 [109,] -12.76076638 -11.87109746 [110,] 12.12165281 -12.76076638 [111,] 7.94964257 12.12165281 [112,] 18.97420754 7.94964257 [113,] -30.95573622 18.97420754 [114,] 0.24057323 -30.95573622 [115,] 12.09347601 0.24057323 [116,] -13.24784196 12.09347601 [117,] 0.50335153 -13.24784196 [118,] -2.24812779 0.50335153 [119,] 20.27257911 -2.24812779 [120,] -12.29103506 20.27257911 [121,] 6.94958774 -12.29103506 [122,] 17.84069582 6.94958774 [123,] 2.41774604 17.84069582 [124,] -0.48704683 2.41774604 [125,] 8.35091825 -0.48704683 [126,] 12.45450654 8.35091825 [127,] -1.89551640 12.45450654 [128,] 6.23542367 -1.89551640 [129,] -0.20934865 6.23542367 [130,] -0.08118356 -0.20934865 [131,] 4.59244093 -0.08118356 [132,] 3.30061731 4.59244093 [133,] -5.72358935 3.30061731 [134,] 1.99369943 -5.72358935 [135,] 10.14627512 1.99369943 [136,] -10.55656674 10.14627512 [137,] -5.93673946 -10.55656674 [138,] -9.91731181 -5.93673946 [139,] -8.50541461 -9.91731181 [140,] -0.24577544 -8.50541461 [141,] -17.36974158 -0.24577544 [142,] 12.50880997 -17.36974158 [143,] 15.64133946 12.50880997 [144,] 2.26601408 15.64133946 [145,] 13.78749665 2.26601408 [146,] 0.45078079 13.78749665 [147,] -7.98872085 0.45078079 [148,] 4.40281793 -7.98872085 [149,] 10.42848640 4.40281793 [150,] 12.83098349 10.42848640 [151,] 11.37031001 12.83098349 [152,] 0.07343336 11.37031001 [153,] 3.73706776 0.07343336 [154,] 7.47616184 3.73706776 [155,] 9.64959997 7.47616184 [156,] -15.97953851 9.64959997 [157,] 0.34797891 -15.97953851 [158,] 6.23542367 0.34797891 [159,] 12.44426694 6.23542367 [160,] 18.98019368 12.44426694 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 8.46961362 -17.64552400 2 -0.65585150 8.46961362 3 -2.47855093 -0.65585150 4 10.29207336 -2.47855093 5 1.96001584 10.29207336 6 -15.35923286 1.96001584 7 9.19398759 -15.35923286 8 0.36484782 9.19398759 9 3.57465843 0.36484782 10 2.42421484 3.57465843 11 -24.81751376 2.42421484 12 0.07149835 -24.81751376 13 -17.86239497 0.07149835 14 12.98054194 -17.86239497 15 -11.59944969 12.98054194 16 4.78122209 -11.59944969 17 13.57641372 4.78122209 18 -7.03012153 13.57641372 19 -14.68153101 -7.03012153 20 -11.81496440 -14.68153101 21 0.16933074 -11.81496440 22 -16.58702028 0.16933074 23 -10.80382130 -16.58702028 24 9.23992868 -10.80382130 25 8.62843487 9.23992868 26 4.94751808 8.62843487 27 0.83411631 4.94751808 28 6.53345149 0.83411631 29 -1.46800292 6.53345149 30 4.14781582 -1.46800292 31 -13.83389122 4.14781582 32 -5.19978032 -13.83389122 33 11.73593705 -5.19978032 34 2.05541204 11.73593705 35 -3.92935785 2.05541204 36 0.89931199 -3.92935785 37 -2.08224917 0.89931199 38 0.84728531 -2.08224917 39 -3.30622336 0.84728531 40 -1.41288294 -3.30622336 41 3.80541842 -1.41288294 42 -23.19515928 3.80541842 43 -16.44498816 -23.19515928 44 -2.41050785 -16.44498816 45 0.94710880 -2.41050785 46 -8.54631345 0.94710880 47 2.21486865 -8.54631345 48 1.15852892 2.21486865 49 2.51065066 1.15852892 50 -1.56547732 2.51065066 51 -4.02990112 -1.56547732 52 -2.09425196 -4.02990112 53 -4.29612136 -2.09425196 54 -7.10637336 -4.29612136 55 2.18403894 -7.10637336 56 0.59660083 2.18403894 57 -6.61577936 0.59660083 58 2.69697864 -6.61577936 59 2.20669982 2.69697864 60 -9.29430143 2.20669982 61 6.70259183 -9.29430143 62 9.17169976 6.70259183 63 -15.53615637 9.17169976 64 -17.47604240 -15.53615637 65 12.09837331 -17.47604240 66 0.25390103 12.09837331 67 2.80677446 0.25390103 68 -8.25832401 2.80677446 69 -1.88081410 -8.25832401 70 -4.16386965 -1.88081410 71 -15.98421514 -4.16386965 72 9.62768367 -15.98421514 73 -3.10022014 9.62768367 74 11.61505848 -3.10022014 75 12.28176577 11.61505848 76 -3.04625057 12.28176577 77 1.48306888 -3.04625057 78 5.84008054 1.48306888 79 -19.50784692 5.84008054 80 7.34371001 -19.50784692 81 -44.44660103 7.34371001 82 -2.56820727 -44.44660103 83 -1.94934799 -2.56820727 84 1.90037343 -1.94934799 85 7.23648163 1.90037343 86 3.44126928 7.23648163 87 -2.35558880 3.44126928 88 -13.78395605 -2.35558880 89 9.66619522 -13.78395605 90 0.55953536 9.66619522 91 -15.97953851 0.55953536 92 6.62581578 -15.97953851 93 10.99328027 6.62581578 94 9.22682319 10.99328027 95 5.96253192 9.22682319 96 1.02896729 5.96253192 97 5.38334124 1.02896729 98 5.41551479 5.38334124 99 4.74068334 5.41551479 100 0.25206926 4.74068334 101 5.58741442 0.25206926 102 12.35787804 5.58741442 103 -3.78293464 12.35787804 104 9.49437555 -3.78293464 105 3.12507391 9.49437555 106 1.29883583 3.12507391 107 1.62030115 1.29883583 108 -11.87109746 1.62030115 109 -12.76076638 -11.87109746 110 12.12165281 -12.76076638 111 7.94964257 12.12165281 112 18.97420754 7.94964257 113 -30.95573622 18.97420754 114 0.24057323 -30.95573622 115 12.09347601 0.24057323 116 -13.24784196 12.09347601 117 0.50335153 -13.24784196 118 -2.24812779 0.50335153 119 20.27257911 -2.24812779 120 -12.29103506 20.27257911 121 6.94958774 -12.29103506 122 17.84069582 6.94958774 123 2.41774604 17.84069582 124 -0.48704683 2.41774604 125 8.35091825 -0.48704683 126 12.45450654 8.35091825 127 -1.89551640 12.45450654 128 6.23542367 -1.89551640 129 -0.20934865 6.23542367 130 -0.08118356 -0.20934865 131 4.59244093 -0.08118356 132 3.30061731 4.59244093 133 -5.72358935 3.30061731 134 1.99369943 -5.72358935 135 10.14627512 1.99369943 136 -10.55656674 10.14627512 137 -5.93673946 -10.55656674 138 -9.91731181 -5.93673946 139 -8.50541461 -9.91731181 140 -0.24577544 -8.50541461 141 -17.36974158 -0.24577544 142 12.50880997 -17.36974158 143 15.64133946 12.50880997 144 2.26601408 15.64133946 145 13.78749665 2.26601408 146 0.45078079 13.78749665 147 -7.98872085 0.45078079 148 4.40281793 -7.98872085 149 10.42848640 4.40281793 150 12.83098349 10.42848640 151 11.37031001 12.83098349 152 0.07343336 11.37031001 153 3.73706776 0.07343336 154 7.47616184 3.73706776 155 9.64959997 7.47616184 156 -15.97953851 9.64959997 157 0.34797891 -15.97953851 158 6.23542367 0.34797891 159 12.44426694 6.23542367 160 18.98019368 12.44426694 > 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/7ic041321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8e4or1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9h1hf1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/100pbg1321539000.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11usbx1321539000.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/12qpvt1321539000.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/13z8p51321539000.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/14thfc1321539000.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/15ufg91321539000.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/16k5011321539000.tab") + } > > try(system("convert tmp/1ccdq1321539000.ps tmp/1ccdq1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/2yy7v1321539000.ps tmp/2yy7v1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/3g5hu1321539000.ps tmp/3g5hu1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/42xey1321539000.ps tmp/42xey1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/539dv1321539000.ps tmp/539dv1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/66ls91321539000.ps tmp/66ls91321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/7ic041321539000.ps tmp/7ic041321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/8e4or1321539000.ps tmp/8e4or1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/9h1hf1321539000.ps tmp/9h1hf1321539000.png",intern=TRUE)) character(0) > try(system("convert tmp/100pbg1321539000.ps tmp/100pbg1321539000.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.396 0.572 8.544