R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(41 + ,38 + ,13 + ,12 + ,14 + ,12 + ,53 + ,39 + ,32 + ,16 + ,11 + ,18 + ,11 + ,86 + ,30 + ,35 + ,19 + ,15 + ,11 + ,14 + ,66 + ,31 + ,33 + ,15 + ,6 + ,12 + ,12 + ,67 + ,34 + ,37 + ,14 + ,13 + ,16 + ,21 + ,76 + ,35 + ,29 + ,13 + ,10 + ,18 + ,12 + ,78 + ,39 + ,31 + ,19 + ,12 + ,14 + ,22 + ,53 + ,34 + ,36 + ,15 + ,14 + ,14 + ,11 + ,80 + ,36 + ,35 + ,14 + ,12 + ,15 + ,10 + ,74 + ,37 + ,38 + ,15 + ,6 + ,15 + ,13 + ,76 + ,38 + ,31 + ,16 + ,10 + ,17 + ,10 + ,79 + ,36 + ,34 + ,16 + ,12 + ,19 + ,8 + ,54 + ,38 + ,35 + ,16 + ,12 + ,10 + ,15 + ,67 + ,39 + ,38 + ,16 + ,11 + ,16 + ,14 + ,54 + ,33 + ,37 + ,17 + ,15 + ,18 + ,10 + ,87 + ,32 + ,33 + ,15 + ,12 + ,14 + ,14 + ,58 + ,36 + ,32 + ,15 + ,10 + ,14 + ,14 + ,75 + ,38 + ,38 + ,20 + ,12 + ,17 + ,11 + ,88 + ,39 + ,38 + ,18 + ,11 + ,14 + ,10 + ,64 + ,32 + ,32 + ,16 + ,12 + ,16 + ,13 + ,57 + ,32 + ,33 + ,16 + ,11 + ,18 + ,7 + ,66 + ,31 + ,31 + ,16 + ,12 + ,11 + ,14 + ,68 + ,39 + ,38 + ,19 + ,13 + ,14 + ,12 + ,54 + 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,38 + ,36 + ,16 + ,12 + ,14 + ,15 + ,90 + ,33 + ,37 + ,13 + ,11 + ,12 + ,15 + ,54 + ,31 + ,27 + ,16 + ,13 + ,14 + ,14 + ,76 + ,38 + ,39 + ,13 + ,12 + ,15 + ,11 + ,89 + ,37 + ,38 + ,16 + ,14 + ,15 + ,8 + ,76 + ,33 + ,31 + ,15 + ,13 + ,15 + ,11 + ,73 + ,31 + ,33 + ,16 + ,15 + ,13 + ,11 + ,79 + ,39 + ,32 + ,15 + ,10 + ,17 + ,8 + ,90 + ,44 + ,39 + ,17 + ,11 + ,17 + ,10 + ,74 + ,33 + ,36 + ,15 + ,9 + ,19 + ,11 + ,81 + ,35 + ,33 + ,12 + ,11 + ,15 + ,13 + ,72 + ,32 + ,33 + ,16 + ,10 + ,13 + ,11 + ,71 + ,28 + ,32 + ,10 + ,11 + ,9 + ,20 + ,66 + ,40 + ,37 + ,16 + ,8 + ,15 + ,10 + ,77 + ,27 + ,30 + ,12 + ,11 + ,15 + ,15 + ,65 + ,37 + ,38 + ,14 + ,12 + ,15 + ,12 + ,74 + ,32 + ,29 + ,15 + ,12 + ,16 + ,14 + ,82 + ,28 + ,22 + ,13 + ,9 + ,11 + ,23 + ,54 + ,34 + ,35 + ,15 + ,11 + ,14 + ,14 + ,63 + ,30 + ,35 + ,11 + ,10 + ,11 + ,16 + ,54 + ,35 + ,34 + ,12 + ,8 + ,15 + ,11 + ,64 + ,31 + ,35 + ,8 + ,9 + ,13 + ,12 + ,69 + ,32 + ,34 + ,16 + ,8 + ,15 + ,10 + ,54 + ,30 + ,34 + ,15 + ,9 + ,16 + ,14 + ,84 + ,30 + ,35 + ,17 + ,15 + ,14 + ,12 + ,86 + ,31 + ,23 + ,16 + ,11 + ,15 + ,12 + ,77 + ,40 + ,31 + ,10 + ,8 + ,16 + ,11 + ,89 + ,32 + ,27 + ,18 + ,13 + ,16 + ,12 + ,76 + ,36 + ,36 + ,13 + ,12 + ,11 + ,13 + ,60 + ,32 + ,31 + ,16 + ,12 + ,12 + ,11 + ,75 + ,35 + ,32 + ,13 + ,9 + ,9 + ,19 + ,73 + ,38 + ,39 + ,10 + ,7 + ,16 + ,12 + ,85 + ,42 + ,37 + ,15 + ,13 + ,13 + ,17 + ,79 + ,34 + ,38 + ,16 + ,9 + ,16 + ,9 + ,71 + ,35 + ,39 + ,16 + ,6 + ,12 + ,12 + ,72 + ,35 + ,34 + ,14 + ,8 + ,9 + ,19 + ,69 + ,33 + ,31 + ,10 + ,8 + ,13 + ,18 + ,78 + ,36 + ,32 + ,17 + ,15 + ,13 + ,15 + ,54 + ,32 + ,37 + ,13 + ,6 + ,14 + ,14 + ,69 + ,33 + ,36 + ,15 + ,9 + ,19 + ,11 + ,81 + ,34 + ,32 + ,16 + ,11 + ,13 + ,9 + ,84 + ,32 + ,35 + ,12 + ,8 + ,12 + ,18 + ,84 + ,34 + ,36 + ,13 + ,8 + ,13 + ,16 + ,69) + ,dim=c(7 + ,162) + ,dimnames=list(c('Connected' + ,'Separate' + ,'Learning' + ,'Software' + ,'Happiness' + ,'Depression' + ,'Belonging') + ,1:162)) > y <- array(NA,dim=c(7,162),dimnames=list(c('Connected','Separate','Learning','Software','Happiness','Depression','Belonging'),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 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '4' > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x Software Connected Separate Learning Happiness Depression Belonging t 1 12 41 38 13 14 12 53 1 2 11 39 32 16 18 11 86 2 3 15 30 35 19 11 14 66 3 4 6 31 33 15 12 12 67 4 5 13 34 37 14 16 21 76 5 6 10 35 29 13 18 12 78 6 7 12 39 31 19 14 22 53 7 8 14 34 36 15 14 11 80 8 9 12 36 35 14 15 10 74 9 10 6 37 38 15 15 13 76 10 11 10 38 31 16 17 10 79 11 12 12 36 34 16 19 8 54 12 13 12 38 35 16 10 15 67 13 14 11 39 38 16 16 14 54 14 15 15 33 37 17 18 10 87 15 16 12 32 33 15 14 14 58 16 17 10 36 32 15 14 14 75 17 18 12 38 38 20 17 11 88 18 19 11 39 38 18 14 10 64 19 20 12 32 32 16 16 13 57 20 21 11 32 33 16 18 7 66 21 22 12 31 31 16 11 14 68 22 23 13 39 38 19 14 12 54 23 24 11 37 39 16 12 14 56 24 25 9 39 32 17 17 11 86 25 26 13 41 32 17 9 9 80 26 27 10 36 35 16 16 11 76 27 28 14 33 37 15 14 15 69 28 29 12 33 33 16 15 14 78 29 30 10 34 33 14 11 13 67 30 31 12 31 28 15 16 9 80 31 32 8 27 32 12 13 15 54 32 33 10 37 31 14 17 10 71 33 34 12 34 37 16 15 11 84 34 35 12 34 30 14 14 13 74 35 36 7 32 33 7 16 8 71 36 37 6 29 31 10 9 20 63 37 38 12 36 33 14 15 12 71 38 39 10 29 31 16 17 10 76 39 40 10 35 33 16 13 10 69 40 41 10 37 32 16 15 9 74 41 42 12 34 33 14 16 14 75 42 43 15 38 32 20 16 8 54 43 44 10 35 33 14 12 14 52 44 45 10 38 28 14 12 11 69 45 46 12 37 35 11 11 13 68 46 47 13 38 39 14 15 9 65 47 48 11 33 34 15 15 11 75 48 49 11 36 38 16 17 15 74 49 50 12 38 32 14 13 11 75 50 51 14 32 38 16 16 10 72 51 52 10 32 30 14 14 14 67 52 53 12 32 33 12 11 18 63 53 54 13 34 38 16 12 14 62 54 55 5 32 32 9 12 11 63 55 56 6 37 32 14 15 12 76 56 57 12 39 34 16 16 13 74 57 58 12 29 34 16 15 9 67 58 59 11 37 36 15 12 10 73 59 60 10 35 34 16 12 15 70 60 61 7 30 28 12 8 20 53 61 62 12 38 34 16 13 12 77 62 63 14 34 35 16 11 12 77 63 64 11 31 35 14 14 14 52 64 65 12 34 31 16 15 13 54 65 66 13 35 37 17 10 11 80 66 67 14 36 35 18 11 17 66 67 68 11 30 27 18 12 12 73 68 69 12 39 40 12 15 13 63 69 70 12 35 37 16 15 14 69 70 71 8 38 36 10 14 13 67 71 72 11 31 38 14 16 15 54 72 73 14 34 39 18 15 13 81 73 74 14 38 41 18 15 10 69 74 75 12 34 27 16 13 11 84 75 76 9 39 30 17 12 19 80 76 77 13 37 37 16 17 13 70 77 78 11 34 31 16 13 17 69 78 79 12 28 31 13 15 13 77 79 80 12 37 27 16 13 9 54 80 81 12 33 36 16 15 11 79 81 82 12 37 38 20 16 10 30 82 83 12 35 37 16 15 9 71 83 84 12 37 33 15 16 12 73 84 85 11 32 34 15 15 12 72 85 86 10 33 31 16 14 13 77 86 87 9 38 39 14 15 13 75 87 88 12 33 34 16 14 12 69 88 89 12 29 32 16 13 15 54 89 90 12 33 33 15 7 22 70 90 91 9 31 36 12 17 13 73 91 92 15 36 32 17 13 15 54 92 93 12 35 41 16 15 13 77 93 94 12 32 28 15 14 15 82 94 95 12 29 30 13 13 10 80 95 96 10 39 36 16 16 11 80 96 97 13 37 35 16 12 16 69 97 98 9 35 31 16 14 11 78 98 99 12 37 34 16 17 11 81 99 100 10 32 36 14 15 10 76 100 101 14 38 36 16 17 10 76 101 102 11 37 35 16 12 16 73 102 103 15 36 37 20 16 12 85 103 104 11 32 28 15 11 11 66 104 105 11 33 39 16 15 16 79 105 106 12 40 32 13 9 19 68 106 107 12 38 35 17 16 11 76 107 108 12 41 39 16 15 16 71 108 109 11 36 35 16 10 15 54 109 110 7 43 42 12 10 24 46 110 111 12 30 34 16 15 14 82 111 112 14 31 33 16 11 15 74 112 113 11 32 41 17 13 11 88 113 114 11 32 33 13 14 15 38 114 115 10 37 34 12 18 12 76 115 116 13 37 32 18 16 10 86 116 117 13 33 40 14 14 14 54 117 118 8 34 40 14 14 13 70 118 119 11 33 35 13 14 9 69 119 120 12 38 36 16 14 15 90 120 121 11 33 37 13 12 15 54 121 122 13 31 27 16 14 14 76 122 123 12 38 39 13 15 11 89 123 124 14 37 38 16 15 8 76 124 125 13 33 31 15 15 11 73 125 126 15 31 33 16 13 11 79 126 127 10 39 32 15 17 8 90 127 128 11 44 39 17 17 10 74 128 129 9 33 36 15 19 11 81 129 130 11 35 33 12 15 13 72 130 131 10 32 33 16 13 11 71 131 132 11 28 32 10 9 20 66 132 133 8 40 37 16 15 10 77 133 134 11 27 30 12 15 15 65 134 135 12 37 38 14 15 12 74 135 136 12 32 29 15 16 14 82 136 137 9 28 22 13 11 23 54 137 138 11 34 35 15 14 14 63 138 139 10 30 35 11 11 16 54 139 140 8 35 34 12 15 11 64 140 141 9 31 35 8 13 12 69 141 142 8 32 34 16 15 10 54 142 143 9 30 34 15 16 14 84 143 144 15 30 35 17 14 12 86 144 145 11 31 23 16 15 12 77 145 146 8 40 31 10 16 11 89 146 147 13 32 27 18 16 12 76 147 148 12 36 36 13 11 13 60 148 149 12 32 31 16 12 11 75 149 150 9 35 32 13 9 19 73 150 151 7 38 39 10 16 12 85 151 152 13 42 37 15 13 17 79 152 153 9 34 38 16 16 9 71 153 154 6 35 39 16 12 12 72 154 155 8 35 34 14 9 19 69 155 156 8 33 31 10 13 18 78 156 157 15 36 32 17 13 15 54 157 158 6 32 37 13 14 14 69 158 159 9 33 36 15 19 11 81 159 160 11 34 32 16 13 9 84 160 161 8 32 35 12 12 18 84 161 162 8 34 36 13 13 16 69 162 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Connected Separate Learning Happiness Depression 4.723146 -0.051401 0.036375 0.521164 -0.043863 -0.019363 Belonging t 0.002016 -0.002410 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -5.6966 -1.0310 0.2315 1.3055 3.2589 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.723146 2.568571 1.839 0.0679 . Connected -0.051401 0.047191 -1.089 0.2778 Separate 0.036375 0.044151 0.824 0.4113 Learning 0.521164 0.067653 7.704 1.51e-12 *** Happiness -0.043863 0.075403 -0.582 0.5616 Depression -0.019363 0.055610 -0.348 0.7282 Belonging 0.002016 0.014509 0.139 0.8897 t -0.002410 0.003221 -0.748 0.4555 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.823 on 154 degrees of freedom Multiple R-squared: 0.307, Adjusted R-squared: 0.2755 F-statistic: 9.746 on 7 and 154 DF, p-value: 5.071e-10 > 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,] 0.99979836 0.0004032766 0.0002016383 [2,] 0.99957885 0.0008423066 0.0004211533 [3,] 0.99953442 0.0009311506 0.0004655753 [4,] 0.99896503 0.0020699353 0.0010349677 [5,] 0.99884385 0.0023123089 0.0011561544 [6,] 0.99807612 0.0038477552 0.0019238776 [7,] 0.99634750 0.0073049928 0.0036524964 [8,] 0.99524034 0.0095193143 0.0047596571 [9,] 0.99245373 0.0150925495 0.0075462748 [10,] 0.98739271 0.0252145766 0.0126072883 [11,] 0.98046505 0.0390699047 0.0195349524 [12,] 0.97305034 0.0538993299 0.0269496649 [13,] 0.96117259 0.0776548172 0.0388274086 [14,] 0.94569311 0.1086137870 0.0543068935 [15,] 0.94044972 0.1191005588 0.0595502794 [16,] 0.95863568 0.0827286309 0.0413643154 [17,] 0.94889175 0.1022165096 0.0511082548 [18,] 0.95511756 0.0897648738 0.0448824369 [19,] 0.93796624 0.1240675249 0.0620337624 [20,] 0.92142895 0.1571420908 0.0785710454 [21,] 0.90479601 0.1904079836 0.0952039918 [22,] 0.91879074 0.1624185275 0.0812092637 [23,] 0.89485866 0.2102826845 0.1051413423 [24,] 0.86509989 0.2698002191 0.1349001095 [25,] 0.85491462 0.2901707680 0.1450853840 [26,] 0.82182736 0.3563452820 0.1781726410 [27,] 0.86027547 0.2794490689 0.1397245344 [28,] 0.85283034 0.2943393142 0.1471696571 [29,] 0.84632887 0.3073422528 0.1536711264 [30,] 0.83134181 0.3373163731 0.1686581865 [31,] 0.81116221 0.3776755865 0.1888377932 [32,] 0.79846887 0.4030622599 0.2015311299 [33,] 0.79985706 0.4002858774 0.2001429387 [34,] 0.76429497 0.4714100640 0.2357050320 [35,] 0.72682805 0.5463439093 0.2731719546 [36,] 0.77284052 0.4543189694 0.2271594847 [37,] 0.76435932 0.4712813674 0.2356406837 [38,] 0.72559844 0.5488031253 0.2744015626 [39,] 0.69994283 0.6001143498 0.3000571749 [40,] 0.67622121 0.6475575804 0.3237787902 [41,] 0.66409457 0.6718108560 0.3359054280 [42,] 0.62303436 0.7539312899 0.3769656450 [43,] 0.62718338 0.7456332373 0.3728166186 [44,] 0.58367735 0.8326453076 0.4163226538 [45,] 0.70445658 0.5910868313 0.2955434156 [46,] 0.88641848 0.2271630423 0.1135815211 [47,] 0.86190306 0.2761938880 0.1380969440 [48,] 0.83397508 0.3320498380 0.1660249190 [49,] 0.80595129 0.3880974224 0.1940487112 [50,] 0.80795716 0.3840856762 0.1920428381 [51,] 0.84672255 0.3065548979 0.1532774489 [52,] 0.81913155 0.3617369074 0.1808684537 [53,] 0.81866677 0.3626664678 0.1813332339 [54,] 0.78644279 0.4271144122 0.2135572061 [55,] 0.75526171 0.4894765762 0.2447382881 [56,] 0.71616276 0.5676744878 0.2838372439 [57,] 0.68687410 0.6262518071 0.3131259035 [58,] 0.69547712 0.6090457645 0.3045228823 [59,] 0.68504999 0.6299000278 0.3149500139 [60,] 0.64375848 0.7124830366 0.3562415183 [61,] 0.62013563 0.7597287441 0.3798643720 [62,] 0.57774701 0.8445059873 0.4222529936 [63,] 0.53855352 0.9228929523 0.4614464762 [64,] 0.50361990 0.9927601941 0.4963800971 [65,] 0.47565514 0.9513102759 0.5243448621 [66,] 0.57341179 0.8531764235 0.4265882117 [67,] 0.54228203 0.9154359370 0.4577179685 [68,] 0.51401173 0.9719765395 0.4859882698 [69,] 0.49568176 0.9913635269 0.5043182366 [70,] 0.47082264 0.9416452890 0.5291773555 [71,] 0.42690626 0.8538125241 0.5730937380 [72,] 0.43723127 0.8744625420 0.5627687290 [73,] 0.39352514 0.7870502724 0.6064748638 [74,] 0.35435289 0.7087057723 0.6456471139 [75,] 0.31895614 0.6379122785 0.6810438608 [76,] 0.34326942 0.6865388365 0.6567305817 [77,] 0.36995710 0.7399141939 0.6300429030 [78,] 0.32955109 0.6591021764 0.6704489118 [79,] 0.29439157 0.5887831304 0.7056084348 [80,] 0.26368687 0.5273737306 0.7363131347 [81,] 0.24698723 0.4939744548 0.7530127726 [82,] 0.28953856 0.5790771279 0.7104614361 [83,] 0.25437669 0.5087533895 0.7456233052 [84,] 0.22982137 0.4596427394 0.7701786303 [85,] 0.20833185 0.4166636903 0.7916681548 [86,] 0.21926202 0.4385240302 0.7807379849 [87,] 0.19314387 0.3862877488 0.8068561256 [88,] 0.29639892 0.5927978401 0.7036010800 [89,] 0.25896289 0.5179257750 0.7410371125 [90,] 0.25417543 0.5083508673 0.7458245663 [91,] 0.25754766 0.5150953166 0.7424523417 [92,] 0.24029419 0.4805883746 0.7597058127 [93,] 0.21514987 0.4302997343 0.7848501328 [94,] 0.23010226 0.4602045229 0.7698977385 [95,] 0.20725308 0.4145061667 0.7927469166 [96,] 0.19059152 0.3811830453 0.8094084774 [97,] 0.16234207 0.3246841445 0.8376579277 [98,] 0.13690540 0.2738107952 0.8630946024 [99,] 0.13091528 0.2618305657 0.8690847172 [100,] 0.17322224 0.3464444809 0.8267777596 [101,] 0.14449673 0.2889934699 0.8555032651 [102,] 0.12984587 0.2596917441 0.8701541279 [103,] 0.13935675 0.2787134970 0.8606432515 [104,] 0.11464464 0.2292892728 0.8853553636 [105,] 0.09207026 0.1841405193 0.9079297404 [106,] 0.07432828 0.1486565675 0.9256717163 [107,] 0.07845330 0.1569065907 0.9215467047 [108,] 0.12659010 0.2531802034 0.8734098983 [109,] 0.10245555 0.2049110953 0.8975444523 [110,] 0.08421896 0.1684379285 0.9157810358 [111,] 0.06553558 0.1310711544 0.9344644228 [112,] 0.05284327 0.1056865452 0.9471567274 [113,] 0.04364679 0.0872935849 0.9563532075 [114,] 0.04456855 0.0891370963 0.9554314519 [115,] 0.03795432 0.0759086333 0.9620456833 [116,] 0.05410387 0.1082077369 0.9458961315 [117,] 0.04584797 0.0916959353 0.9541520323 [118,] 0.03544571 0.0708914174 0.9645542913 [119,] 0.03482488 0.0696497612 0.9651751194 [120,] 0.02743387 0.0548677395 0.9725661302 [121,] 0.02766983 0.0553396519 0.9723301741 [122,] 0.02381921 0.0476384247 0.9761807877 [123,] 0.07905353 0.1581070510 0.9209464745 [124,] 0.07239050 0.1447809959 0.9276095021 [125,] 0.05608890 0.1121777911 0.9439111045 [126,] 0.04078155 0.0815630987 0.9592184507 [127,] 0.04066048 0.0813209651 0.9593395174 [128,] 0.02789289 0.0557857812 0.9721071094 [129,] 0.02213249 0.0442649720 0.9778675140 [130,] 0.01776254 0.0355250889 0.9822374556 [131,] 0.03654163 0.0730832608 0.9634583696 [132,] 0.05483280 0.1096655979 0.9451672011 [133,] 0.05039893 0.1007978683 0.9496010658 [134,] 0.31583211 0.6316642149 0.6841678925 [135,] 0.30368772 0.6073754431 0.6963122785 [136,] 0.56084469 0.8783106270 0.4391553135 [137,] 0.51845151 0.9630969781 0.4815484890 [138,] 0.73951521 0.5209695790 0.2604847895 [139,] 0.78237024 0.4352595232 0.2176297616 [140,] 0.65541688 0.6891662429 0.3445831215 [141,] 0.51729302 0.9654139615 0.4827069808 > postscript(file="/var/wessaorg/rcomp/tmp/1vef81353262287.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/2exj61353262287.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/37nqb1353262287.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/494sw1353262287.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/53cjq1353262287.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 6 1.96892501 -0.38714160 1.27140509 -5.51425507 2.34959826 0.12500115 7 8 9 10 11 12 -0.79815551 2.58262280 1.28196827 -5.24045271 -1.42959339 0.46028681 13 14 15 16 17 18 0.24368740 -0.54160352 2.61136919 0.71065919 -1.07922129 -1.75078175 19 20 21 22 23 24 -1.75721681 0.30588903 -0.77466612 0.07355577 -0.20985859 -0.83616398 25 26 27 28 29 30 -2.89673918 0.83093501 -1.65778608 2.64267135 0.27577392 -0.80072912 31 32 33 34 35 36 0.82384840 -1.92435391 -0.36951904 0.12354437 1.43792412 -0.12647871 37 38 39 40 41 42 -2.82758108 1.46937991 -1.81867195 -1.74194994 -1.54207881 1.45074412 43 44 45 46 47 48 1.49429968 -0.62212628 -0.37599721 2.88076160 2.32963099 -0.24568654 49 50 51 52 53 54 -0.58854425 1.52232366 2.07402831 -0.59043428 2.29910456 1.10621428 55 56 57 58 59 60 -3.18788243 -4.40954350 0.64784733 0.02904719 -0.23324380 -1.67919037 61 62 63 64 65 66 -2.67525148 0.45149696 2.12420319 0.23544880 0.51569914 0.51964729 67 68 69 70 71 72 1.31330182 -1.76875605 2.52148809 0.35002927 -0.38919194 0.24866307 73 74 75 76 77 78 1.14722919 1.24859402 0.49837309 -2.75340109 1.53604892 -0.49348316 79 80 81 82 83 84 1.75816646 0.68637228 0.23186728 -1.59425464 0.28051490 1.15030830 85 86 87 88 89 90 -0.18250710 -1.57531680 -1.51667577 0.31714308 0.23116006 0.76406912 91 92 93 94 95 96 -0.62362992 3.07703031 0.22447288 1.05149701 1.73264012 -1.38173104 97 98 99 100 101 102 1.49778509 -2.48433630 0.63729421 -0.74472970 2.61148202 -0.49822785 103 104 105 106 107 108 1.36918859 -0.10119129 -0.72260306 2.27480763 0.11665141 0.71195826 109 110 111 112 113 114 -0.60154852 -2.21890824 0.27475506 2.22497557 -1.55131840 1.04884632 115 116 117 118 119 120 0.83381675 0.63537983 2.28007655 -2.71772729 0.86088437 0.59427480 121 122 123 124 125 126 0.85164052 1.57551848 2.02430334 2.41631073 2.05303904 3.25891319 127 128 129 130 131 132 -0.67474027 -0.64130023 -1.95986618 1.69937569 -1.66151015 2.30754724 133 134 135 136 137 138 -3.33471325 1.45976928 1.56663158 1.18470684 -0.71014773 0.02465373 139 140 141 142 143 144 0.83139584 -1.33549797 1.43114993 -3.56874290 -2.08712843 2.70609489 145 146 147 148 149 150 -0.22043097 0.08088751 0.69384186 2.01260426 0.40269270 -0.88623410 151 152 153 154 155 156 -1.27343423 2.37882274 -2.59469643 -5.69664143 -2.46003454 -0.22869565 157 158 159 160 161 162 3.23368081 -4.07246203 -1.88756595 -0.51737396 -1.51183095 -1.92878427 > postscript(file="/var/wessaorg/rcomp/tmp/6lkm31353262287.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 1.96892501 NA 1 -0.38714160 1.96892501 2 1.27140509 -0.38714160 3 -5.51425507 1.27140509 4 2.34959826 -5.51425507 5 0.12500115 2.34959826 6 -0.79815551 0.12500115 7 2.58262280 -0.79815551 8 1.28196827 2.58262280 9 -5.24045271 1.28196827 10 -1.42959339 -5.24045271 11 0.46028681 -1.42959339 12 0.24368740 0.46028681 13 -0.54160352 0.24368740 14 2.61136919 -0.54160352 15 0.71065919 2.61136919 16 -1.07922129 0.71065919 17 -1.75078175 -1.07922129 18 -1.75721681 -1.75078175 19 0.30588903 -1.75721681 20 -0.77466612 0.30588903 21 0.07355577 -0.77466612 22 -0.20985859 0.07355577 23 -0.83616398 -0.20985859 24 -2.89673918 -0.83616398 25 0.83093501 -2.89673918 26 -1.65778608 0.83093501 27 2.64267135 -1.65778608 28 0.27577392 2.64267135 29 -0.80072912 0.27577392 30 0.82384840 -0.80072912 31 -1.92435391 0.82384840 32 -0.36951904 -1.92435391 33 0.12354437 -0.36951904 34 1.43792412 0.12354437 35 -0.12647871 1.43792412 36 -2.82758108 -0.12647871 37 1.46937991 -2.82758108 38 -1.81867195 1.46937991 39 -1.74194994 -1.81867195 40 -1.54207881 -1.74194994 41 1.45074412 -1.54207881 42 1.49429968 1.45074412 43 -0.62212628 1.49429968 44 -0.37599721 -0.62212628 45 2.88076160 -0.37599721 46 2.32963099 2.88076160 47 -0.24568654 2.32963099 48 -0.58854425 -0.24568654 49 1.52232366 -0.58854425 50 2.07402831 1.52232366 51 -0.59043428 2.07402831 52 2.29910456 -0.59043428 53 1.10621428 2.29910456 54 -3.18788243 1.10621428 55 -4.40954350 -3.18788243 56 0.64784733 -4.40954350 57 0.02904719 0.64784733 58 -0.23324380 0.02904719 59 -1.67919037 -0.23324380 60 -2.67525148 -1.67919037 61 0.45149696 -2.67525148 62 2.12420319 0.45149696 63 0.23544880 2.12420319 64 0.51569914 0.23544880 65 0.51964729 0.51569914 66 1.31330182 0.51964729 67 -1.76875605 1.31330182 68 2.52148809 -1.76875605 69 0.35002927 2.52148809 70 -0.38919194 0.35002927 71 0.24866307 -0.38919194 72 1.14722919 0.24866307 73 1.24859402 1.14722919 74 0.49837309 1.24859402 75 -2.75340109 0.49837309 76 1.53604892 -2.75340109 77 -0.49348316 1.53604892 78 1.75816646 -0.49348316 79 0.68637228 1.75816646 80 0.23186728 0.68637228 81 -1.59425464 0.23186728 82 0.28051490 -1.59425464 83 1.15030830 0.28051490 84 -0.18250710 1.15030830 85 -1.57531680 -0.18250710 86 -1.51667577 -1.57531680 87 0.31714308 -1.51667577 88 0.23116006 0.31714308 89 0.76406912 0.23116006 90 -0.62362992 0.76406912 91 3.07703031 -0.62362992 92 0.22447288 3.07703031 93 1.05149701 0.22447288 94 1.73264012 1.05149701 95 -1.38173104 1.73264012 96 1.49778509 -1.38173104 97 -2.48433630 1.49778509 98 0.63729421 -2.48433630 99 -0.74472970 0.63729421 100 2.61148202 -0.74472970 101 -0.49822785 2.61148202 102 1.36918859 -0.49822785 103 -0.10119129 1.36918859 104 -0.72260306 -0.10119129 105 2.27480763 -0.72260306 106 0.11665141 2.27480763 107 0.71195826 0.11665141 108 -0.60154852 0.71195826 109 -2.21890824 -0.60154852 110 0.27475506 -2.21890824 111 2.22497557 0.27475506 112 -1.55131840 2.22497557 113 1.04884632 -1.55131840 114 0.83381675 1.04884632 115 0.63537983 0.83381675 116 2.28007655 0.63537983 117 -2.71772729 2.28007655 118 0.86088437 -2.71772729 119 0.59427480 0.86088437 120 0.85164052 0.59427480 121 1.57551848 0.85164052 122 2.02430334 1.57551848 123 2.41631073 2.02430334 124 2.05303904 2.41631073 125 3.25891319 2.05303904 126 -0.67474027 3.25891319 127 -0.64130023 -0.67474027 128 -1.95986618 -0.64130023 129 1.69937569 -1.95986618 130 -1.66151015 1.69937569 131 2.30754724 -1.66151015 132 -3.33471325 2.30754724 133 1.45976928 -3.33471325 134 1.56663158 1.45976928 135 1.18470684 1.56663158 136 -0.71014773 1.18470684 137 0.02465373 -0.71014773 138 0.83139584 0.02465373 139 -1.33549797 0.83139584 140 1.43114993 -1.33549797 141 -3.56874290 1.43114993 142 -2.08712843 -3.56874290 143 2.70609489 -2.08712843 144 -0.22043097 2.70609489 145 0.08088751 -0.22043097 146 0.69384186 0.08088751 147 2.01260426 0.69384186 148 0.40269270 2.01260426 149 -0.88623410 0.40269270 150 -1.27343423 -0.88623410 151 2.37882274 -1.27343423 152 -2.59469643 2.37882274 153 -5.69664143 -2.59469643 154 -2.46003454 -5.69664143 155 -0.22869565 -2.46003454 156 3.23368081 -0.22869565 157 -4.07246203 3.23368081 158 -1.88756595 -4.07246203 159 -0.51737396 -1.88756595 160 -1.51183095 -0.51737396 161 -1.92878427 -1.51183095 162 NA -1.92878427 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -0.38714160 1.96892501 [2,] 1.27140509 -0.38714160 [3,] -5.51425507 1.27140509 [4,] 2.34959826 -5.51425507 [5,] 0.12500115 2.34959826 [6,] -0.79815551 0.12500115 [7,] 2.58262280 -0.79815551 [8,] 1.28196827 2.58262280 [9,] -5.24045271 1.28196827 [10,] -1.42959339 -5.24045271 [11,] 0.46028681 -1.42959339 [12,] 0.24368740 0.46028681 [13,] -0.54160352 0.24368740 [14,] 2.61136919 -0.54160352 [15,] 0.71065919 2.61136919 [16,] -1.07922129 0.71065919 [17,] -1.75078175 -1.07922129 [18,] -1.75721681 -1.75078175 [19,] 0.30588903 -1.75721681 [20,] -0.77466612 0.30588903 [21,] 0.07355577 -0.77466612 [22,] -0.20985859 0.07355577 [23,] -0.83616398 -0.20985859 [24,] -2.89673918 -0.83616398 [25,] 0.83093501 -2.89673918 [26,] -1.65778608 0.83093501 [27,] 2.64267135 -1.65778608 [28,] 0.27577392 2.64267135 [29,] -0.80072912 0.27577392 [30,] 0.82384840 -0.80072912 [31,] -1.92435391 0.82384840 [32,] -0.36951904 -1.92435391 [33,] 0.12354437 -0.36951904 [34,] 1.43792412 0.12354437 [35,] -0.12647871 1.43792412 [36,] -2.82758108 -0.12647871 [37,] 1.46937991 -2.82758108 [38,] -1.81867195 1.46937991 [39,] -1.74194994 -1.81867195 [40,] -1.54207881 -1.74194994 [41,] 1.45074412 -1.54207881 [42,] 1.49429968 1.45074412 [43,] -0.62212628 1.49429968 [44,] -0.37599721 -0.62212628 [45,] 2.88076160 -0.37599721 [46,] 2.32963099 2.88076160 [47,] -0.24568654 2.32963099 [48,] -0.58854425 -0.24568654 [49,] 1.52232366 -0.58854425 [50,] 2.07402831 1.52232366 [51,] -0.59043428 2.07402831 [52,] 2.29910456 -0.59043428 [53,] 1.10621428 2.29910456 [54,] -3.18788243 1.10621428 [55,] -4.40954350 -3.18788243 [56,] 0.64784733 -4.40954350 [57,] 0.02904719 0.64784733 [58,] -0.23324380 0.02904719 [59,] -1.67919037 -0.23324380 [60,] -2.67525148 -1.67919037 [61,] 0.45149696 -2.67525148 [62,] 2.12420319 0.45149696 [63,] 0.23544880 2.12420319 [64,] 0.51569914 0.23544880 [65,] 0.51964729 0.51569914 [66,] 1.31330182 0.51964729 [67,] -1.76875605 1.31330182 [68,] 2.52148809 -1.76875605 [69,] 0.35002927 2.52148809 [70,] -0.38919194 0.35002927 [71,] 0.24866307 -0.38919194 [72,] 1.14722919 0.24866307 [73,] 1.24859402 1.14722919 [74,] 0.49837309 1.24859402 [75,] -2.75340109 0.49837309 [76,] 1.53604892 -2.75340109 [77,] -0.49348316 1.53604892 [78,] 1.75816646 -0.49348316 [79,] 0.68637228 1.75816646 [80,] 0.23186728 0.68637228 [81,] -1.59425464 0.23186728 [82,] 0.28051490 -1.59425464 [83,] 1.15030830 0.28051490 [84,] -0.18250710 1.15030830 [85,] -1.57531680 -0.18250710 [86,] -1.51667577 -1.57531680 [87,] 0.31714308 -1.51667577 [88,] 0.23116006 0.31714308 [89,] 0.76406912 0.23116006 [90,] -0.62362992 0.76406912 [91,] 3.07703031 -0.62362992 [92,] 0.22447288 3.07703031 [93,] 1.05149701 0.22447288 [94,] 1.73264012 1.05149701 [95,] -1.38173104 1.73264012 [96,] 1.49778509 -1.38173104 [97,] -2.48433630 1.49778509 [98,] 0.63729421 -2.48433630 [99,] -0.74472970 0.63729421 [100,] 2.61148202 -0.74472970 [101,] -0.49822785 2.61148202 [102,] 1.36918859 -0.49822785 [103,] -0.10119129 1.36918859 [104,] -0.72260306 -0.10119129 [105,] 2.27480763 -0.72260306 [106,] 0.11665141 2.27480763 [107,] 0.71195826 0.11665141 [108,] -0.60154852 0.71195826 [109,] -2.21890824 -0.60154852 [110,] 0.27475506 -2.21890824 [111,] 2.22497557 0.27475506 [112,] -1.55131840 2.22497557 [113,] 1.04884632 -1.55131840 [114,] 0.83381675 1.04884632 [115,] 0.63537983 0.83381675 [116,] 2.28007655 0.63537983 [117,] -2.71772729 2.28007655 [118,] 0.86088437 -2.71772729 [119,] 0.59427480 0.86088437 [120,] 0.85164052 0.59427480 [121,] 1.57551848 0.85164052 [122,] 2.02430334 1.57551848 [123,] 2.41631073 2.02430334 [124,] 2.05303904 2.41631073 [125,] 3.25891319 2.05303904 [126,] -0.67474027 3.25891319 [127,] -0.64130023 -0.67474027 [128,] -1.95986618 -0.64130023 [129,] 1.69937569 -1.95986618 [130,] -1.66151015 1.69937569 [131,] 2.30754724 -1.66151015 [132,] -3.33471325 2.30754724 [133,] 1.45976928 -3.33471325 [134,] 1.56663158 1.45976928 [135,] 1.18470684 1.56663158 [136,] -0.71014773 1.18470684 [137,] 0.02465373 -0.71014773 [138,] 0.83139584 0.02465373 [139,] -1.33549797 0.83139584 [140,] 1.43114993 -1.33549797 [141,] -3.56874290 1.43114993 [142,] -2.08712843 -3.56874290 [143,] 2.70609489 -2.08712843 [144,] -0.22043097 2.70609489 [145,] 0.08088751 -0.22043097 [146,] 0.69384186 0.08088751 [147,] 2.01260426 0.69384186 [148,] 0.40269270 2.01260426 [149,] -0.88623410 0.40269270 [150,] -1.27343423 -0.88623410 [151,] 2.37882274 -1.27343423 [152,] -2.59469643 2.37882274 [153,] -5.69664143 -2.59469643 [154,] -2.46003454 -5.69664143 [155,] -0.22869565 -2.46003454 [156,] 3.23368081 -0.22869565 [157,] -4.07246203 3.23368081 [158,] -1.88756595 -4.07246203 [159,] -0.51737396 -1.88756595 [160,] -1.51183095 -0.51737396 [161,] -1.92878427 -1.51183095 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -0.38714160 1.96892501 2 1.27140509 -0.38714160 3 -5.51425507 1.27140509 4 2.34959826 -5.51425507 5 0.12500115 2.34959826 6 -0.79815551 0.12500115 7 2.58262280 -0.79815551 8 1.28196827 2.58262280 9 -5.24045271 1.28196827 10 -1.42959339 -5.24045271 11 0.46028681 -1.42959339 12 0.24368740 0.46028681 13 -0.54160352 0.24368740 14 2.61136919 -0.54160352 15 0.71065919 2.61136919 16 -1.07922129 0.71065919 17 -1.75078175 -1.07922129 18 -1.75721681 -1.75078175 19 0.30588903 -1.75721681 20 -0.77466612 0.30588903 21 0.07355577 -0.77466612 22 -0.20985859 0.07355577 23 -0.83616398 -0.20985859 24 -2.89673918 -0.83616398 25 0.83093501 -2.89673918 26 -1.65778608 0.83093501 27 2.64267135 -1.65778608 28 0.27577392 2.64267135 29 -0.80072912 0.27577392 30 0.82384840 -0.80072912 31 -1.92435391 0.82384840 32 -0.36951904 -1.92435391 33 0.12354437 -0.36951904 34 1.43792412 0.12354437 35 -0.12647871 1.43792412 36 -2.82758108 -0.12647871 37 1.46937991 -2.82758108 38 -1.81867195 1.46937991 39 -1.74194994 -1.81867195 40 -1.54207881 -1.74194994 41 1.45074412 -1.54207881 42 1.49429968 1.45074412 43 -0.62212628 1.49429968 44 -0.37599721 -0.62212628 45 2.88076160 -0.37599721 46 2.32963099 2.88076160 47 -0.24568654 2.32963099 48 -0.58854425 -0.24568654 49 1.52232366 -0.58854425 50 2.07402831 1.52232366 51 -0.59043428 2.07402831 52 2.29910456 -0.59043428 53 1.10621428 2.29910456 54 -3.18788243 1.10621428 55 -4.40954350 -3.18788243 56 0.64784733 -4.40954350 57 0.02904719 0.64784733 58 -0.23324380 0.02904719 59 -1.67919037 -0.23324380 60 -2.67525148 -1.67919037 61 0.45149696 -2.67525148 62 2.12420319 0.45149696 63 0.23544880 2.12420319 64 0.51569914 0.23544880 65 0.51964729 0.51569914 66 1.31330182 0.51964729 67 -1.76875605 1.31330182 68 2.52148809 -1.76875605 69 0.35002927 2.52148809 70 -0.38919194 0.35002927 71 0.24866307 -0.38919194 72 1.14722919 0.24866307 73 1.24859402 1.14722919 74 0.49837309 1.24859402 75 -2.75340109 0.49837309 76 1.53604892 -2.75340109 77 -0.49348316 1.53604892 78 1.75816646 -0.49348316 79 0.68637228 1.75816646 80 0.23186728 0.68637228 81 -1.59425464 0.23186728 82 0.28051490 -1.59425464 83 1.15030830 0.28051490 84 -0.18250710 1.15030830 85 -1.57531680 -0.18250710 86 -1.51667577 -1.57531680 87 0.31714308 -1.51667577 88 0.23116006 0.31714308 89 0.76406912 0.23116006 90 -0.62362992 0.76406912 91 3.07703031 -0.62362992 92 0.22447288 3.07703031 93 1.05149701 0.22447288 94 1.73264012 1.05149701 95 -1.38173104 1.73264012 96 1.49778509 -1.38173104 97 -2.48433630 1.49778509 98 0.63729421 -2.48433630 99 -0.74472970 0.63729421 100 2.61148202 -0.74472970 101 -0.49822785 2.61148202 102 1.36918859 -0.49822785 103 -0.10119129 1.36918859 104 -0.72260306 -0.10119129 105 2.27480763 -0.72260306 106 0.11665141 2.27480763 107 0.71195826 0.11665141 108 -0.60154852 0.71195826 109 -2.21890824 -0.60154852 110 0.27475506 -2.21890824 111 2.22497557 0.27475506 112 -1.55131840 2.22497557 113 1.04884632 -1.55131840 114 0.83381675 1.04884632 115 0.63537983 0.83381675 116 2.28007655 0.63537983 117 -2.71772729 2.28007655 118 0.86088437 -2.71772729 119 0.59427480 0.86088437 120 0.85164052 0.59427480 121 1.57551848 0.85164052 122 2.02430334 1.57551848 123 2.41631073 2.02430334 124 2.05303904 2.41631073 125 3.25891319 2.05303904 126 -0.67474027 3.25891319 127 -0.64130023 -0.67474027 128 -1.95986618 -0.64130023 129 1.69937569 -1.95986618 130 -1.66151015 1.69937569 131 2.30754724 -1.66151015 132 -3.33471325 2.30754724 133 1.45976928 -3.33471325 134 1.56663158 1.45976928 135 1.18470684 1.56663158 136 -0.71014773 1.18470684 137 0.02465373 -0.71014773 138 0.83139584 0.02465373 139 -1.33549797 0.83139584 140 1.43114993 -1.33549797 141 -3.56874290 1.43114993 142 -2.08712843 -3.56874290 143 2.70609489 -2.08712843 144 -0.22043097 2.70609489 145 0.08088751 -0.22043097 146 0.69384186 0.08088751 147 2.01260426 0.69384186 148 0.40269270 2.01260426 149 -0.88623410 0.40269270 150 -1.27343423 -0.88623410 151 2.37882274 -1.27343423 152 -2.59469643 2.37882274 153 -5.69664143 -2.59469643 154 -2.46003454 -5.69664143 155 -0.22869565 -2.46003454 156 3.23368081 -0.22869565 157 -4.07246203 3.23368081 158 -1.88756595 -4.07246203 159 -0.51737396 -1.88756595 160 -1.51183095 -0.51737396 161 -1.92878427 -1.51183095 > 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/7r5z61353262287.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/8s69i1353262287.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/9fa1v1353262287.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/10k1zk1353262287.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11i6n91353262287.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12pc5m1353262287.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13ao021353262287.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14r75t1353262287.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/15jxx41353262287.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/16ntv91353262287.tab") + } > > try(system("convert tmp/1vef81353262287.ps tmp/1vef81353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/2exj61353262287.ps tmp/2exj61353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/37nqb1353262287.ps tmp/37nqb1353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/494sw1353262287.ps tmp/494sw1353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/53cjq1353262287.ps tmp/53cjq1353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/6lkm31353262287.ps tmp/6lkm31353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/7r5z61353262287.ps tmp/7r5z61353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/8s69i1353262287.ps tmp/8s69i1353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/9fa1v1353262287.ps tmp/9fa1v1353262287.png",intern=TRUE)) character(0) > try(system("convert tmp/10k1zk1353262287.ps tmp/10k1zk1353262287.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 7.742 1.093 8.864