R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1 + ,26 + ,21 + ,21 + ,23 + ,17 + ,23 + ,4 + ,1 + ,20 + ,16 + ,15 + ,24 + ,17 + ,20 + ,4 + ,1 + ,19 + ,19 + ,18 + ,22 + ,18 + ,20 + ,6 + ,2 + ,19 + ,18 + ,11 + ,20 + ,21 + ,21 + ,8 + ,1 + ,20 + ,16 + ,8 + ,24 + ,20 + ,24 + ,8 + ,1 + ,25 + ,23 + ,19 + ,27 + ,28 + ,22 + ,4 + ,2 + ,25 + ,17 + ,4 + ,28 + ,19 + ,23 + ,4 + ,1 + ,22 + ,12 + ,20 + ,27 + ,22 + ,20 + ,8 + ,1 + ,26 + ,19 + ,16 + ,24 + ,16 + ,25 + ,5 + ,1 + ,22 + ,16 + ,14 + ,23 + ,18 + ,23 + ,4 + ,2 + ,17 + ,19 + ,10 + ,24 + ,25 + ,27 + ,4 + ,2 + ,22 + ,20 + ,13 + ,27 + ,17 + ,27 + ,4 + ,1 + ,19 + ,13 + ,14 + ,27 + ,14 + ,22 + ,4 + ,1 + ,24 + ,20 + ,8 + ,28 + ,11 + ,24 + ,4 + ,1 + ,26 + ,27 + ,23 + ,27 + ,27 + ,25 + ,4 + ,2 + ,21 + ,17 + ,11 + ,23 + ,20 + ,22 + ,8 + ,1 + ,13 + ,8 + ,9 + ,24 + ,22 + ,28 + ,4 + ,2 + ,26 + ,25 + ,24 + ,28 + ,22 + ,28 + ,4 + ,2 + ,20 + ,26 + ,5 + ,27 + ,21 + ,27 + ,4 + ,1 + ,22 + ,13 + ,15 + ,25 + ,23 + ,25 + ,8 + ,2 + ,14 + ,19 + ,5 + ,19 + ,17 + ,16 + ,4 + ,1 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,1 + ,16 + ,19 + ,15 + ,20 + ,18 + ,23 + ,7 + ,2 + ,23 + ,23 + ,22 + ,23 + ,24 + ,22 + ,7 + ,2 + ,11 + ,12 + ,9 + ,22 + ,15 + ,20 + ,10 + ,2 + ,18 + ,16 + ,13 + ,24 + ,18 + ,23 + ,4 + ,2 + ,24 + ,23 + ,20 + ,23 + ,26 + ,25 + ,5 + ,1 + ,23 + ,13 + ,14 + ,22 + ,11 + ,23 + ,8 + ,1 + ,21 + ,22 + ,14 + ,26 + ,26 + ,22 + ,11 + ,2 + ,16 + ,18 + ,12 + ,23 + ,21 + ,25 + ,7 + ,2 + ,24 + ,23 + ,20 + ,27 + ,23 + ,26 + ,4 + ,1 + ,23 + ,20 + ,20 + ,23 + ,23 + ,22 + ,8 + ,1 + ,18 + ,10 + ,8 + ,21 + ,15 + ,24 + ,6 + ,1 + ,20 + ,17 + ,17 + ,26 + ,22 + ,24 + ,7 + ,1 + ,9 + ,18 + ,9 + ,23 + ,26 + ,25 + ,5 + ,2 + ,24 + ,15 + ,18 + ,21 + ,16 + ,20 + ,4 + ,1 + ,25 + ,23 + ,22 + ,27 + ,20 + ,26 + ,8 + ,1 + ,20 + ,17 + ,10 + ,19 + ,18 + ,21 + ,4 + ,2 + ,21 + ,17 + ,13 + ,23 + ,22 + ,26 + ,8 + ,2 + ,25 + ,22 + ,15 + ,25 + ,16 + ,21 + ,6 + ,2 + ,22 + ,20 + ,18 + ,23 + ,19 + ,22 + ,4 + ,2 + ,21 + ,20 + ,18 + ,22 + ,20 + ,16 + ,9 + ,1 + ,21 + ,19 + ,12 + ,22 + ,19 + ,26 + ,5 + ,1 + ,22 + ,18 + ,12 + ,25 + ,23 + ,28 + ,6 + ,1 + ,27 + ,22 + ,20 + ,25 + ,24 + ,18 + ,4 + ,2 + ,24 + ,20 + ,12 + ,28 + ,25 + ,25 + ,4 + ,2 + ,24 + ,22 + ,16 + ,28 + ,21 + ,23 + ,4 + ,2 + ,21 + ,18 + ,16 + ,20 + ,21 + ,21 + ,5 + ,1 + ,18 + ,16 + ,18 + ,25 + ,23 + ,20 + ,6 + ,1 + ,16 + ,16 + ,16 + ,19 + ,27 + ,25 + ,16 + ,1 + ,22 + ,16 + ,13 + ,25 + ,23 + ,22 + ,6 + ,1 + ,20 + ,16 + ,17 + ,22 + ,18 + ,21 + ,6 + ,2 + ,18 + ,17 + ,13 + ,18 + ,16 + ,16 + ,4 + ,1 + ,20 + ,18 + ,17 + ,20 + ,16 + ,18 + ,4) + ,dim=c(8 + ,162) + ,dimnames=list(c('G' + ,'I1' + ,'I2' + ,'I3' + ,'E1' + ,'E2' + ,'E3' + ,'A') + ,1:162)) > y <- array(NA,dim=c(8,162),dimnames=list(c('G','I1','I2','I3','E1','E2','E3','A'),1:162)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '8' > 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 A G I1 I2 I3 E1 E2 E3 t 1 4 1 26 21 21 23 17 23 1 2 4 1 20 16 15 24 17 20 2 3 6 1 19 19 18 22 18 20 3 4 8 2 19 18 11 20 21 21 4 5 8 1 20 16 8 24 20 24 5 6 4 1 25 23 19 27 28 22 6 7 4 2 25 17 4 28 19 23 7 8 8 1 22 12 20 27 22 20 8 9 5 1 26 19 16 24 16 25 9 10 4 1 22 16 14 23 18 23 10 11 4 2 17 19 10 24 25 27 11 12 4 2 22 20 13 27 17 27 12 13 4 1 19 13 14 27 14 22 13 14 4 1 24 20 8 28 11 24 14 15 4 1 26 27 23 27 27 25 15 16 8 2 21 17 11 23 20 22 16 17 4 1 13 8 9 24 22 28 17 18 4 2 26 25 24 28 22 28 18 19 4 2 20 26 5 27 21 27 19 20 8 1 22 13 15 25 23 25 20 21 4 2 14 19 5 19 17 16 21 22 7 1 21 15 19 24 24 28 22 23 4 1 7 5 6 20 14 21 23 24 4 2 23 16 13 28 17 24 24 25 5 1 17 14 11 26 23 27 25 26 4 1 25 24 17 23 24 14 26 27 4 1 25 24 17 23 24 14 27 28 4 1 19 9 5 20 8 27 28 29 4 2 20 19 9 11 22 20 29 30 4 1 23 19 15 24 23 21 30 31 4 2 22 25 17 25 25 22 31 32 4 1 22 19 17 23 21 21 32 33 15 1 21 18 20 18 24 12 33 34 10 2 15 15 12 20 15 20 34 35 4 2 20 12 7 20 22 24 35 36 8 2 22 21 16 24 21 19 36 37 4 1 18 12 7 23 25 28 37 38 4 2 20 15 14 25 16 23 38 39 4 2 28 28 24 28 28 27 39 40 4 1 22 25 15 26 23 22 40 41 7 1 18 19 15 26 21 27 41 42 4 1 23 20 10 23 21 26 42 43 6 1 20 24 14 22 26 22 43 44 5 2 25 26 18 24 22 21 44 45 4 2 26 25 12 21 21 19 45 46 16 1 15 12 9 20 18 24 46 47 5 2 17 12 9 22 12 19 47 48 12 2 23 15 8 20 25 26 48 49 6 1 21 17 18 25 17 22 49 50 9 2 13 14 10 20 24 28 50 51 9 1 18 16 17 22 15 21 51 52 4 1 19 11 14 23 13 23 52 53 5 1 22 20 16 25 26 28 53 54 4 1 16 11 10 23 16 10 54 55 4 2 24 22 19 23 24 24 55 56 5 1 18 20 10 22 21 21 56 57 4 1 20 19 14 24 20 21 57 58 4 1 24 17 10 25 14 24 58 59 4 2 14 21 4 21 25 24 59 60 5 2 22 23 19 12 25 25 60 61 4 1 24 18 9 17 20 25 61 62 6 1 18 17 12 20 22 23 62 63 4 1 21 27 16 23 20 21 63 64 4 2 23 25 11 23 26 16 64 65 18 1 17 19 18 20 18 17 65 66 4 2 22 22 11 28 22 25 66 67 6 2 24 24 24 24 24 24 67 68 4 2 21 20 17 24 17 23 68 69 4 1 22 19 18 24 24 25 69 70 5 1 16 11 9 24 20 23 70 71 4 1 21 22 19 28 19 28 71 72 4 2 23 22 18 25 20 26 72 73 5 2 22 16 12 21 15 22 73 74 10 1 24 20 23 25 23 19 74 75 5 1 24 24 22 25 26 26 75 76 8 1 16 16 14 18 22 18 76 77 8 1 16 16 14 17 20 18 77 78 5 2 21 22 16 26 24 25 78 79 4 2 26 24 23 28 26 27 79 80 4 2 15 16 7 21 21 12 80 81 4 2 25 27 10 27 25 15 81 82 5 1 18 11 12 22 13 21 82 83 4 0 23 21 12 21 20 23 83 84 4 1 20 20 12 25 22 22 84 85 8 2 17 20 17 22 23 21 85 86 4 2 25 27 21 23 28 24 86 87 5 1 24 20 16 26 22 27 87 88 14 1 17 12 11 19 20 22 88 89 8 1 19 8 14 25 6 28 89 90 8 1 20 21 13 21 21 26 90 91 4 1 15 18 9 13 20 10 91 92 4 2 27 24 19 24 18 19 92 93 6 1 22 16 13 25 23 22 93 94 4 1 23 18 19 26 20 21 94 95 7 1 16 20 13 25 24 24 95 96 7 1 19 20 13 25 22 25 96 97 4 2 25 19 13 22 21 21 97 98 6 1 19 17 14 21 18 20 98 99 4 2 19 16 12 23 21 21 99 100 7 2 26 26 22 25 23 24 100 101 4 1 21 15 11 24 23 23 101 102 4 2 20 22 5 21 15 18 102 103 8 1 24 17 18 21 21 24 103 104 4 1 22 23 19 25 24 24 104 105 4 2 20 21 14 22 23 19 105 106 10 1 18 19 15 20 21 20 106 107 8 2 18 14 12 20 21 18 107 108 6 1 24 17 19 23 20 20 108 109 4 1 24 12 15 28 11 27 109 110 4 1 22 24 17 23 22 23 110 111 4 1 23 18 8 28 27 26 111 112 5 1 22 20 10 24 25 23 112 113 4 1 20 16 12 18 18 17 113 114 6 1 18 20 12 20 20 21 114 115 4 1 25 22 20 28 24 25 115 116 5 2 18 12 12 21 10 23 116 117 7 1 16 16 12 21 27 27 117 118 8 1 20 17 14 25 21 24 118 119 5 2 19 22 6 19 21 20 119 120 8 1 15 12 10 18 18 27 120 121 10 1 19 14 18 21 15 21 121 122 8 1 19 23 18 22 24 24 122 123 5 1 16 15 7 24 22 21 123 124 12 1 17 17 18 15 14 15 124 125 4 1 28 28 9 28 28 25 125 126 5 2 23 20 17 26 18 25 126 127 4 1 25 23 22 23 26 22 127 128 6 1 20 13 11 26 17 24 128 129 4 2 17 18 15 20 19 21 129 130 4 2 23 23 17 22 22 22 130 131 7 1 16 19 15 20 18 23 131 132 7 2 23 23 22 23 24 22 132 133 10 2 11 12 9 22 15 20 133 134 4 2 18 16 13 24 18 23 134 135 5 2 24 23 20 23 26 25 135 136 8 1 23 13 14 22 11 23 136 137 11 1 21 22 14 26 26 22 137 138 7 2 16 18 12 23 21 25 138 139 4 2 24 23 20 27 23 26 139 140 8 1 23 20 20 23 23 22 140 141 6 1 18 10 8 21 15 24 141 142 7 1 20 17 17 26 22 24 142 143 5 1 9 18 9 23 26 25 143 144 4 2 24 15 18 21 16 20 144 145 8 1 25 23 22 27 20 26 145 146 4 1 20 17 10 19 18 21 146 147 8 2 21 17 13 23 22 26 147 148 6 2 25 22 15 25 16 21 148 149 4 2 22 20 18 23 19 22 149 150 9 2 21 20 18 22 20 16 150 151 5 1 21 19 12 22 19 26 151 152 6 1 22 18 12 25 23 28 152 153 4 1 27 22 20 25 24 18 153 154 4 2 24 20 12 28 25 25 154 155 4 2 24 22 16 28 21 23 155 156 5 2 21 18 16 20 21 21 156 157 6 1 18 16 18 25 23 20 157 158 16 1 16 16 16 19 27 25 158 159 6 1 22 16 13 25 23 22 159 160 6 1 20 16 17 22 18 21 160 161 4 2 18 17 13 18 16 16 161 162 4 1 20 18 17 20 16 18 162 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) G I1 I2 I3 E1 12.148919 -0.398705 -0.183317 -0.141158 0.192189 -0.177151 E2 E3 t 0.083791 0.000321 0.002720 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.6137 -1.4632 -0.5042 1.0508 10.4413 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 12.148919 1.803111 6.738 3.07e-10 *** G -0.398705 0.389667 -1.023 0.307831 I1 -0.183317 0.074029 -2.476 0.014365 * I2 -0.141158 0.066149 -2.134 0.034441 * I3 0.192189 0.049213 3.905 0.000141 *** E1 -0.177151 0.071866 -2.465 0.014807 * E2 0.083791 0.055707 1.504 0.134606 E3 0.000321 0.057493 0.006 0.995552 t 0.002720 0.004010 0.678 0.498532 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.347 on 153 degrees of freedom Multiple R-squared: 0.2412, Adjusted R-squared: 0.2015 F-statistic: 6.078 on 8 and 153 DF, p-value: 8.689e-07 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 0.600391894 0.799216213 0.399608106 [2,] 0.435142110 0.870284220 0.564857890 [3,] 0.392240859 0.784481717 0.607759141 [4,] 0.283089843 0.566179686 0.716910157 [5,] 0.208445269 0.416890538 0.791554731 [6,] 0.178978389 0.357956777 0.821021611 [7,] 0.122032393 0.244064786 0.877967607 [8,] 0.078232378 0.156464757 0.921767622 [9,] 0.057903259 0.115806518 0.942096741 [10,] 0.107052853 0.214105706 0.892947147 [11,] 0.073516959 0.147033917 0.926483041 [12,] 0.061814766 0.123629532 0.938185234 [13,] 0.045033252 0.090066503 0.954966748 [14,] 0.028712546 0.057425091 0.971287454 [15,] 0.023276963 0.046553925 0.976723037 [16,] 0.015073028 0.030146057 0.984926972 [17,] 0.011067598 0.022135196 0.988932402 [18,] 0.012736884 0.025473768 0.987263116 [19,] 0.008080128 0.016160256 0.991919872 [20,] 0.004878493 0.009756986 0.995121507 [21,] 0.003026684 0.006053367 0.996973316 [22,] 0.364957303 0.729914607 0.635042697 [23,] 0.479873677 0.959747355 0.520126323 [24,] 0.484259625 0.968519249 0.515740375 [25,] 0.467388648 0.934777295 0.532611352 [26,] 0.425855427 0.851710854 0.574144573 [27,] 0.407562725 0.815125451 0.592437275 [28,] 0.352701930 0.705403860 0.647298070 [29,] 0.302314594 0.604629188 0.697685406 [30,] 0.325672288 0.651344577 0.674327712 [31,] 0.277959121 0.555918242 0.722040879 [32,] 0.240594167 0.481188334 0.759405833 [33,] 0.201060145 0.402120291 0.798939855 [34,] 0.170170099 0.340340197 0.829829901 [35,] 0.839957105 0.320085790 0.160042895 [36,] 0.822831681 0.354336638 0.177168319 [37,] 0.947509425 0.104981150 0.052490575 [38,] 0.932835787 0.134328426 0.067164213 [39,] 0.921497735 0.157004531 0.078502265 [40,] 0.912030810 0.175938379 0.087969190 [41,] 0.922607499 0.154785001 0.077392501 [42,] 0.906650190 0.186699620 0.093349810 [43,] 0.919208986 0.161582027 0.080791014 [44,] 0.915727024 0.168545952 0.084272976 [45,] 0.896295775 0.207408450 0.103704225 [46,] 0.884865042 0.230269916 0.115134958 [47,] 0.859347164 0.281305672 0.140652836 [48,] 0.837778536 0.324442929 0.162221464 [49,] 0.850223725 0.299552550 0.149776275 [50,] 0.829022545 0.341954910 0.170977455 [51,] 0.798967737 0.402064526 0.201032263 [52,] 0.768727048 0.462545903 0.231272952 [53,] 0.734967262 0.530065476 0.265032738 [54,] 0.997241903 0.005516193 0.002758097 [55,] 0.996153451 0.007693098 0.003846549 [56,] 0.994652315 0.010695370 0.005347685 [57,] 0.993416207 0.013167587 0.006583793 [58,] 0.993506768 0.012986463 0.006493232 [59,] 0.992318279 0.015363442 0.007681721 [60,] 0.990488712 0.019022575 0.009511288 [61,] 0.987746519 0.024506962 0.012253481 [62,] 0.983563603 0.032872794 0.016436397 [63,] 0.988246253 0.023507495 0.011753747 [64,] 0.985254849 0.029490303 0.014745151 [65,] 0.980289525 0.039420951 0.019710475 [66,] 0.973959755 0.052080491 0.026040245 [67,] 0.965990303 0.068019393 0.034009697 [68,] 0.959037915 0.081924170 0.040962085 [69,] 0.955979597 0.088040807 0.044020403 [70,] 0.955985302 0.088029397 0.044014698 [71,] 0.949767910 0.100464179 0.050232090 [72,] 0.941775876 0.116448248 0.058224124 [73,] 0.930180879 0.139638242 0.069819121 [74,] 0.916726973 0.166546053 0.083273027 [75,] 0.906232426 0.187535147 0.093767574 [76,] 0.887713154 0.224573692 0.112286846 [77,] 0.976741967 0.046516066 0.023258033 [78,] 0.972221160 0.055557681 0.027778840 [79,] 0.969124778 0.061750444 0.030875222 [80,] 0.976881545 0.046236909 0.023118455 [81,] 0.969918569 0.060162861 0.030081431 [82,] 0.961140836 0.077718327 0.038859164 [83,] 0.957374583 0.085250835 0.042625417 [84,] 0.946117338 0.107765324 0.053882662 [85,] 0.935745840 0.128508319 0.064254160 [86,] 0.920216019 0.159567962 0.079783981 [87,] 0.901508787 0.196982425 0.098491213 [88,] 0.890494926 0.219010148 0.109505074 [89,] 0.886188878 0.227622244 0.113811122 [90,] 0.876858905 0.246282191 0.123141095 [91,] 0.856668745 0.286662511 0.143331255 [92,] 0.834875786 0.330248428 0.165124214 [93,] 0.829248713 0.341502573 0.170751287 [94,] 0.810501944 0.378996112 0.189498056 [95,] 0.823825538 0.352348924 0.176174462 [96,] 0.805727580 0.388544840 0.194272420 [97,] 0.769005738 0.461988524 0.230994262 [98,] 0.735993731 0.528012538 0.264006269 [99,] 0.719436858 0.561126285 0.280563142 [100,] 0.675312489 0.649375021 0.324687511 [101,] 0.626873093 0.746253813 0.373126907 [102,] 0.636696134 0.726607731 0.363303866 [103,] 0.590752803 0.818494394 0.409247197 [104,] 0.579902131 0.840195738 0.420097869 [105,] 0.538749664 0.922500672 0.461250336 [106,] 0.509797690 0.980404620 0.490202310 [107,] 0.471556508 0.943113016 0.528443492 [108,] 0.420987061 0.841974123 0.579012939 [109,] 0.373506100 0.747012200 0.626493900 [110,] 0.349951139 0.699902278 0.650048861 [111,] 0.302276748 0.604553497 0.697723252 [112,] 0.277600326 0.555200652 0.722399674 [113,] 0.375880100 0.751760200 0.624119900 [114,] 0.339740627 0.679481254 0.660259373 [115,] 0.286818280 0.573636560 0.713181720 [116,] 0.312103039 0.624206078 0.687896961 [117,] 0.264668611 0.529337222 0.735331389 [118,] 0.279257958 0.558515916 0.720742042 [119,] 0.252645140 0.505290281 0.747354860 [120,] 0.208577168 0.417154336 0.791422832 [121,] 0.166790486 0.333580972 0.833209514 [122,] 0.224720698 0.449441396 0.775279302 [123,] 0.193771218 0.387542437 0.806228782 [124,] 0.237184745 0.474369490 0.762815255 [125,] 0.270649219 0.541298439 0.729350781 [126,] 0.469793162 0.939586325 0.530206838 [127,] 0.407878206 0.815756411 0.592121794 [128,] 0.438838160 0.877676320 0.561161840 [129,] 0.362480462 0.724960923 0.637519538 [130,] 0.367027339 0.734054677 0.632972661 [131,] 0.302660838 0.605321676 0.697339162 [132,] 0.467089143 0.934178286 0.532910857 [133,] 0.384050137 0.768100274 0.615949863 [134,] 0.304018466 0.608036932 0.695981534 [135,] 0.296198154 0.592396308 0.703801846 [136,] 0.213434399 0.426868798 0.786565601 [137,] 0.456287845 0.912575689 0.543712155 [138,] 0.347816400 0.695632800 0.652183600 [139,] 0.810730907 0.378538187 0.189269093 > postscript(file="/var/fisher/rcomp/tmp/1vfft1353253606.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/fisher/rcomp/tmp/229fb1353253606.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/39xsx1353253606.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4tjoy1353253606.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5mpx61353253606.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 -1.415702924 -1.892870006 -0.670091540 2.324059451 3.191631702 -1.158707378 7 8 9 10 11 12 2.204108764 1.044364710 0.501462690 -1.617713341 -1.356757604 0.323481388 13 14 15 16 17 18 -1.555210302 1.927773865 -1.121165897 3.131816128 -3.614547838 -0.609982027 19 20 21 22 23 24 1.987097513 1.674126162 -1.184859485 -0.262974455 -4.613704762 0.087638878 25 26 27 28 29 30 -1.169639089 -1.058444428 -1.061164561 -1.169859418 -2.712917652 -1.498677021 31 32 33 34 35 36 -0.814191435 -2.081379670 6.880622070 3.396593179 -1.739895274 2.958742031 37 38 39 40 41 42 -2.231880623 -1.281080296 -0.379423104 -0.508267588 1.074773706 -0.440391314 43 44 45 46 47 48 0.207992360 0.723911418 0.469463097 8.865680585 -0.513046633 6.753963730 49 50 51 52 53 54 -0.096298328 1.472966983 2.035792396 -2.568743692 -0.872057972 -2.602581094 55 56 57 58 59 60 -1.591843520 -0.570603922 -1.678509598 0.217411623 -1.132316762 -2.863689596 61 62 63 64 65 66 -1.377675647 -0.833510155 -0.943777634 -0.003673701 10.441287971 0.602123877 67 68 69 70 71 72 -0.125961373 -1.311085056 -2.449720241 -1.616102301 -1.280596858 -0.940390249 73 74 75 76 77 78 -0.108606076 3.346396433 -1.153124290 -0.116457256 -0.128745610 -0.096661213 79 80 81 82 83 84 -1.059723269 -1.949460546 1.583937360 -1.625796182 -1.463387988 -1.217170950 85 86 87 88 89 90 1.052998019 -1.506602845 -0.085271858 6.389601061 1.846372166 2.089382162 91 92 93 94 95 96 -3.812920165 -0.178718333 0.284370498 -1.977002738 0.659226326 1.373718748 97 98 99 100 101 102 -0.717928409 -0.619216399 -1.877405627 2.078543182 -1.854960115 0.639427550 103 104 105 106 107 108 1.262356266 -1.995010036 -1.733087797 2.837308536 1.104711594 -0.504056333 109 110 111 112 113 114 -0.806185114 -1.672193619 -0.143013265 0.028831276 -2.763970953 -0.383258765 115 116 117 118 119 120 -1.277195927 -1.104836722 -0.733999017 1.965642795 0.359989111 0.116937866 121 122 123 124 125 126 2.377045145 1.066813053 -0.978200835 3.448538024 1.871410749 0.167649380 127 128 129 130 131 132 -2.605429174 0.462690869 -2.983763003 -1.462561623 -0.346918373 0.580623574 133 134 135 136 137 138 2.901424980 -1.920233684 -1.028388177 2.208781064 5.561903659 0.747589757 139 140 141 142 143 144 -1.079613581 1.204851922 -0.504383864 0.417153391 -2.790325806 -2.312539734 145 146 147 148 149 150 2.555674085 -2.152333790 2.222235136 2.132849466 -1.884699282 2.670247893 151 152 153 154 155 156 -0.638623112 0.596460894 -1.543131502 0.003508317 -0.149843268 -1.683709307 157 158 159 160 161 162 -1.583286896 7.032062148 0.104841764 -1.145441531 -2.745593482 -3.054321689 > postscript(file="/var/fisher/rcomp/tmp/6v5zm1353253606.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 -1.415702924 NA 1 -1.892870006 -1.415702924 2 -0.670091540 -1.892870006 3 2.324059451 -0.670091540 4 3.191631702 2.324059451 5 -1.158707378 3.191631702 6 2.204108764 -1.158707378 7 1.044364710 2.204108764 8 0.501462690 1.044364710 9 -1.617713341 0.501462690 10 -1.356757604 -1.617713341 11 0.323481388 -1.356757604 12 -1.555210302 0.323481388 13 1.927773865 -1.555210302 14 -1.121165897 1.927773865 15 3.131816128 -1.121165897 16 -3.614547838 3.131816128 17 -0.609982027 -3.614547838 18 1.987097513 -0.609982027 19 1.674126162 1.987097513 20 -1.184859485 1.674126162 21 -0.262974455 -1.184859485 22 -4.613704762 -0.262974455 23 0.087638878 -4.613704762 24 -1.169639089 0.087638878 25 -1.058444428 -1.169639089 26 -1.061164561 -1.058444428 27 -1.169859418 -1.061164561 28 -2.712917652 -1.169859418 29 -1.498677021 -2.712917652 30 -0.814191435 -1.498677021 31 -2.081379670 -0.814191435 32 6.880622070 -2.081379670 33 3.396593179 6.880622070 34 -1.739895274 3.396593179 35 2.958742031 -1.739895274 36 -2.231880623 2.958742031 37 -1.281080296 -2.231880623 38 -0.379423104 -1.281080296 39 -0.508267588 -0.379423104 40 1.074773706 -0.508267588 41 -0.440391314 1.074773706 42 0.207992360 -0.440391314 43 0.723911418 0.207992360 44 0.469463097 0.723911418 45 8.865680585 0.469463097 46 -0.513046633 8.865680585 47 6.753963730 -0.513046633 48 -0.096298328 6.753963730 49 1.472966983 -0.096298328 50 2.035792396 1.472966983 51 -2.568743692 2.035792396 52 -0.872057972 -2.568743692 53 -2.602581094 -0.872057972 54 -1.591843520 -2.602581094 55 -0.570603922 -1.591843520 56 -1.678509598 -0.570603922 57 0.217411623 -1.678509598 58 -1.132316762 0.217411623 59 -2.863689596 -1.132316762 60 -1.377675647 -2.863689596 61 -0.833510155 -1.377675647 62 -0.943777634 -0.833510155 63 -0.003673701 -0.943777634 64 10.441287971 -0.003673701 65 0.602123877 10.441287971 66 -0.125961373 0.602123877 67 -1.311085056 -0.125961373 68 -2.449720241 -1.311085056 69 -1.616102301 -2.449720241 70 -1.280596858 -1.616102301 71 -0.940390249 -1.280596858 72 -0.108606076 -0.940390249 73 3.346396433 -0.108606076 74 -1.153124290 3.346396433 75 -0.116457256 -1.153124290 76 -0.128745610 -0.116457256 77 -0.096661213 -0.128745610 78 -1.059723269 -0.096661213 79 -1.949460546 -1.059723269 80 1.583937360 -1.949460546 81 -1.625796182 1.583937360 82 -1.463387988 -1.625796182 83 -1.217170950 -1.463387988 84 1.052998019 -1.217170950 85 -1.506602845 1.052998019 86 -0.085271858 -1.506602845 87 6.389601061 -0.085271858 88 1.846372166 6.389601061 89 2.089382162 1.846372166 90 -3.812920165 2.089382162 91 -0.178718333 -3.812920165 92 0.284370498 -0.178718333 93 -1.977002738 0.284370498 94 0.659226326 -1.977002738 95 1.373718748 0.659226326 96 -0.717928409 1.373718748 97 -0.619216399 -0.717928409 98 -1.877405627 -0.619216399 99 2.078543182 -1.877405627 100 -1.854960115 2.078543182 101 0.639427550 -1.854960115 102 1.262356266 0.639427550 103 -1.995010036 1.262356266 104 -1.733087797 -1.995010036 105 2.837308536 -1.733087797 106 1.104711594 2.837308536 107 -0.504056333 1.104711594 108 -0.806185114 -0.504056333 109 -1.672193619 -0.806185114 110 -0.143013265 -1.672193619 111 0.028831276 -0.143013265 112 -2.763970953 0.028831276 113 -0.383258765 -2.763970953 114 -1.277195927 -0.383258765 115 -1.104836722 -1.277195927 116 -0.733999017 -1.104836722 117 1.965642795 -0.733999017 118 0.359989111 1.965642795 119 0.116937866 0.359989111 120 2.377045145 0.116937866 121 1.066813053 2.377045145 122 -0.978200835 1.066813053 123 3.448538024 -0.978200835 124 1.871410749 3.448538024 125 0.167649380 1.871410749 126 -2.605429174 0.167649380 127 0.462690869 -2.605429174 128 -2.983763003 0.462690869 129 -1.462561623 -2.983763003 130 -0.346918373 -1.462561623 131 0.580623574 -0.346918373 132 2.901424980 0.580623574 133 -1.920233684 2.901424980 134 -1.028388177 -1.920233684 135 2.208781064 -1.028388177 136 5.561903659 2.208781064 137 0.747589757 5.561903659 138 -1.079613581 0.747589757 139 1.204851922 -1.079613581 140 -0.504383864 1.204851922 141 0.417153391 -0.504383864 142 -2.790325806 0.417153391 143 -2.312539734 -2.790325806 144 2.555674085 -2.312539734 145 -2.152333790 2.555674085 146 2.222235136 -2.152333790 147 2.132849466 2.222235136 148 -1.884699282 2.132849466 149 2.670247893 -1.884699282 150 -0.638623112 2.670247893 151 0.596460894 -0.638623112 152 -1.543131502 0.596460894 153 0.003508317 -1.543131502 154 -0.149843268 0.003508317 155 -1.683709307 -0.149843268 156 -1.583286896 -1.683709307 157 7.032062148 -1.583286896 158 0.104841764 7.032062148 159 -1.145441531 0.104841764 160 -2.745593482 -1.145441531 161 -3.054321689 -2.745593482 162 NA -3.054321689 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -1.892870006 -1.415702924 [2,] -0.670091540 -1.892870006 [3,] 2.324059451 -0.670091540 [4,] 3.191631702 2.324059451 [5,] -1.158707378 3.191631702 [6,] 2.204108764 -1.158707378 [7,] 1.044364710 2.204108764 [8,] 0.501462690 1.044364710 [9,] -1.617713341 0.501462690 [10,] -1.356757604 -1.617713341 [11,] 0.323481388 -1.356757604 [12,] -1.555210302 0.323481388 [13,] 1.927773865 -1.555210302 [14,] -1.121165897 1.927773865 [15,] 3.131816128 -1.121165897 [16,] -3.614547838 3.131816128 [17,] -0.609982027 -3.614547838 [18,] 1.987097513 -0.609982027 [19,] 1.674126162 1.987097513 [20,] -1.184859485 1.674126162 [21,] -0.262974455 -1.184859485 [22,] -4.613704762 -0.262974455 [23,] 0.087638878 -4.613704762 [24,] -1.169639089 0.087638878 [25,] -1.058444428 -1.169639089 [26,] -1.061164561 -1.058444428 [27,] -1.169859418 -1.061164561 [28,] -2.712917652 -1.169859418 [29,] -1.498677021 -2.712917652 [30,] -0.814191435 -1.498677021 [31,] -2.081379670 -0.814191435 [32,] 6.880622070 -2.081379670 [33,] 3.396593179 6.880622070 [34,] -1.739895274 3.396593179 [35,] 2.958742031 -1.739895274 [36,] -2.231880623 2.958742031 [37,] -1.281080296 -2.231880623 [38,] -0.379423104 -1.281080296 [39,] -0.508267588 -0.379423104 [40,] 1.074773706 -0.508267588 [41,] -0.440391314 1.074773706 [42,] 0.207992360 -0.440391314 [43,] 0.723911418 0.207992360 [44,] 0.469463097 0.723911418 [45,] 8.865680585 0.469463097 [46,] -0.513046633 8.865680585 [47,] 6.753963730 -0.513046633 [48,] -0.096298328 6.753963730 [49,] 1.472966983 -0.096298328 [50,] 2.035792396 1.472966983 [51,] -2.568743692 2.035792396 [52,] -0.872057972 -2.568743692 [53,] -2.602581094 -0.872057972 [54,] -1.591843520 -2.602581094 [55,] -0.570603922 -1.591843520 [56,] -1.678509598 -0.570603922 [57,] 0.217411623 -1.678509598 [58,] -1.132316762 0.217411623 [59,] -2.863689596 -1.132316762 [60,] -1.377675647 -2.863689596 [61,] -0.833510155 -1.377675647 [62,] -0.943777634 -0.833510155 [63,] -0.003673701 -0.943777634 [64,] 10.441287971 -0.003673701 [65,] 0.602123877 10.441287971 [66,] -0.125961373 0.602123877 [67,] -1.311085056 -0.125961373 [68,] -2.449720241 -1.311085056 [69,] -1.616102301 -2.449720241 [70,] -1.280596858 -1.616102301 [71,] -0.940390249 -1.280596858 [72,] -0.108606076 -0.940390249 [73,] 3.346396433 -0.108606076 [74,] -1.153124290 3.346396433 [75,] -0.116457256 -1.153124290 [76,] -0.128745610 -0.116457256 [77,] -0.096661213 -0.128745610 [78,] -1.059723269 -0.096661213 [79,] -1.949460546 -1.059723269 [80,] 1.583937360 -1.949460546 [81,] -1.625796182 1.583937360 [82,] -1.463387988 -1.625796182 [83,] -1.217170950 -1.463387988 [84,] 1.052998019 -1.217170950 [85,] -1.506602845 1.052998019 [86,] -0.085271858 -1.506602845 [87,] 6.389601061 -0.085271858 [88,] 1.846372166 6.389601061 [89,] 2.089382162 1.846372166 [90,] -3.812920165 2.089382162 [91,] -0.178718333 -3.812920165 [92,] 0.284370498 -0.178718333 [93,] -1.977002738 0.284370498 [94,] 0.659226326 -1.977002738 [95,] 1.373718748 0.659226326 [96,] -0.717928409 1.373718748 [97,] -0.619216399 -0.717928409 [98,] -1.877405627 -0.619216399 [99,] 2.078543182 -1.877405627 [100,] -1.854960115 2.078543182 [101,] 0.639427550 -1.854960115 [102,] 1.262356266 0.639427550 [103,] -1.995010036 1.262356266 [104,] -1.733087797 -1.995010036 [105,] 2.837308536 -1.733087797 [106,] 1.104711594 2.837308536 [107,] -0.504056333 1.104711594 [108,] -0.806185114 -0.504056333 [109,] -1.672193619 -0.806185114 [110,] -0.143013265 -1.672193619 [111,] 0.028831276 -0.143013265 [112,] -2.763970953 0.028831276 [113,] -0.383258765 -2.763970953 [114,] -1.277195927 -0.383258765 [115,] -1.104836722 -1.277195927 [116,] -0.733999017 -1.104836722 [117,] 1.965642795 -0.733999017 [118,] 0.359989111 1.965642795 [119,] 0.116937866 0.359989111 [120,] 2.377045145 0.116937866 [121,] 1.066813053 2.377045145 [122,] -0.978200835 1.066813053 [123,] 3.448538024 -0.978200835 [124,] 1.871410749 3.448538024 [125,] 0.167649380 1.871410749 [126,] -2.605429174 0.167649380 [127,] 0.462690869 -2.605429174 [128,] -2.983763003 0.462690869 [129,] -1.462561623 -2.983763003 [130,] -0.346918373 -1.462561623 [131,] 0.580623574 -0.346918373 [132,] 2.901424980 0.580623574 [133,] -1.920233684 2.901424980 [134,] -1.028388177 -1.920233684 [135,] 2.208781064 -1.028388177 [136,] 5.561903659 2.208781064 [137,] 0.747589757 5.561903659 [138,] -1.079613581 0.747589757 [139,] 1.204851922 -1.079613581 [140,] -0.504383864 1.204851922 [141,] 0.417153391 -0.504383864 [142,] -2.790325806 0.417153391 [143,] -2.312539734 -2.790325806 [144,] 2.555674085 -2.312539734 [145,] -2.152333790 2.555674085 [146,] 2.222235136 -2.152333790 [147,] 2.132849466 2.222235136 [148,] -1.884699282 2.132849466 [149,] 2.670247893 -1.884699282 [150,] -0.638623112 2.670247893 [151,] 0.596460894 -0.638623112 [152,] -1.543131502 0.596460894 [153,] 0.003508317 -1.543131502 [154,] -0.149843268 0.003508317 [155,] -1.683709307 -0.149843268 [156,] -1.583286896 -1.683709307 [157,] 7.032062148 -1.583286896 [158,] 0.104841764 7.032062148 [159,] -1.145441531 0.104841764 [160,] -2.745593482 -1.145441531 [161,] -3.054321689 -2.745593482 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -1.892870006 -1.415702924 2 -0.670091540 -1.892870006 3 2.324059451 -0.670091540 4 3.191631702 2.324059451 5 -1.158707378 3.191631702 6 2.204108764 -1.158707378 7 1.044364710 2.204108764 8 0.501462690 1.044364710 9 -1.617713341 0.501462690 10 -1.356757604 -1.617713341 11 0.323481388 -1.356757604 12 -1.555210302 0.323481388 13 1.927773865 -1.555210302 14 -1.121165897 1.927773865 15 3.131816128 -1.121165897 16 -3.614547838 3.131816128 17 -0.609982027 -3.614547838 18 1.987097513 -0.609982027 19 1.674126162 1.987097513 20 -1.184859485 1.674126162 21 -0.262974455 -1.184859485 22 -4.613704762 -0.262974455 23 0.087638878 -4.613704762 24 -1.169639089 0.087638878 25 -1.058444428 -1.169639089 26 -1.061164561 -1.058444428 27 -1.169859418 -1.061164561 28 -2.712917652 -1.169859418 29 -1.498677021 -2.712917652 30 -0.814191435 -1.498677021 31 -2.081379670 -0.814191435 32 6.880622070 -2.081379670 33 3.396593179 6.880622070 34 -1.739895274 3.396593179 35 2.958742031 -1.739895274 36 -2.231880623 2.958742031 37 -1.281080296 -2.231880623 38 -0.379423104 -1.281080296 39 -0.508267588 -0.379423104 40 1.074773706 -0.508267588 41 -0.440391314 1.074773706 42 0.207992360 -0.440391314 43 0.723911418 0.207992360 44 0.469463097 0.723911418 45 8.865680585 0.469463097 46 -0.513046633 8.865680585 47 6.753963730 -0.513046633 48 -0.096298328 6.753963730 49 1.472966983 -0.096298328 50 2.035792396 1.472966983 51 -2.568743692 2.035792396 52 -0.872057972 -2.568743692 53 -2.602581094 -0.872057972 54 -1.591843520 -2.602581094 55 -0.570603922 -1.591843520 56 -1.678509598 -0.570603922 57 0.217411623 -1.678509598 58 -1.132316762 0.217411623 59 -2.863689596 -1.132316762 60 -1.377675647 -2.863689596 61 -0.833510155 -1.377675647 62 -0.943777634 -0.833510155 63 -0.003673701 -0.943777634 64 10.441287971 -0.003673701 65 0.602123877 10.441287971 66 -0.125961373 0.602123877 67 -1.311085056 -0.125961373 68 -2.449720241 -1.311085056 69 -1.616102301 -2.449720241 70 -1.280596858 -1.616102301 71 -0.940390249 -1.280596858 72 -0.108606076 -0.940390249 73 3.346396433 -0.108606076 74 -1.153124290 3.346396433 75 -0.116457256 -1.153124290 76 -0.128745610 -0.116457256 77 -0.096661213 -0.128745610 78 -1.059723269 -0.096661213 79 -1.949460546 -1.059723269 80 1.583937360 -1.949460546 81 -1.625796182 1.583937360 82 -1.463387988 -1.625796182 83 -1.217170950 -1.463387988 84 1.052998019 -1.217170950 85 -1.506602845 1.052998019 86 -0.085271858 -1.506602845 87 6.389601061 -0.085271858 88 1.846372166 6.389601061 89 2.089382162 1.846372166 90 -3.812920165 2.089382162 91 -0.178718333 -3.812920165 92 0.284370498 -0.178718333 93 -1.977002738 0.284370498 94 0.659226326 -1.977002738 95 1.373718748 0.659226326 96 -0.717928409 1.373718748 97 -0.619216399 -0.717928409 98 -1.877405627 -0.619216399 99 2.078543182 -1.877405627 100 -1.854960115 2.078543182 101 0.639427550 -1.854960115 102 1.262356266 0.639427550 103 -1.995010036 1.262356266 104 -1.733087797 -1.995010036 105 2.837308536 -1.733087797 106 1.104711594 2.837308536 107 -0.504056333 1.104711594 108 -0.806185114 -0.504056333 109 -1.672193619 -0.806185114 110 -0.143013265 -1.672193619 111 0.028831276 -0.143013265 112 -2.763970953 0.028831276 113 -0.383258765 -2.763970953 114 -1.277195927 -0.383258765 115 -1.104836722 -1.277195927 116 -0.733999017 -1.104836722 117 1.965642795 -0.733999017 118 0.359989111 1.965642795 119 0.116937866 0.359989111 120 2.377045145 0.116937866 121 1.066813053 2.377045145 122 -0.978200835 1.066813053 123 3.448538024 -0.978200835 124 1.871410749 3.448538024 125 0.167649380 1.871410749 126 -2.605429174 0.167649380 127 0.462690869 -2.605429174 128 -2.983763003 0.462690869 129 -1.462561623 -2.983763003 130 -0.346918373 -1.462561623 131 0.580623574 -0.346918373 132 2.901424980 0.580623574 133 -1.920233684 2.901424980 134 -1.028388177 -1.920233684 135 2.208781064 -1.028388177 136 5.561903659 2.208781064 137 0.747589757 5.561903659 138 -1.079613581 0.747589757 139 1.204851922 -1.079613581 140 -0.504383864 1.204851922 141 0.417153391 -0.504383864 142 -2.790325806 0.417153391 143 -2.312539734 -2.790325806 144 2.555674085 -2.312539734 145 -2.152333790 2.555674085 146 2.222235136 -2.152333790 147 2.132849466 2.222235136 148 -1.884699282 2.132849466 149 2.670247893 -1.884699282 150 -0.638623112 2.670247893 151 0.596460894 -0.638623112 152 -1.543131502 0.596460894 153 0.003508317 -1.543131502 154 -0.149843268 0.003508317 155 -1.683709307 -0.149843268 156 -1.583286896 -1.683709307 157 7.032062148 -1.583286896 158 0.104841764 7.032062148 159 -1.145441531 0.104841764 160 -2.745593482 -1.145441531 161 -3.054321689 -2.745593482 > 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/fisher/rcomp/tmp/7020v1353253606.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/fisher/rcomp/tmp/8j8i51353253606.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/fisher/rcomp/tmp/9q96k1353253606.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/fisher/rcomp/tmp/10vij91353253606.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/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/11ohsk1353253606.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/12b6ld1353253607.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/131rw11353253607.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/14uxrg1353253607.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/fisher/rcomp/tmp/151bc21353253607.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/fisher/rcomp/tmp/16nh3z1353253607.tab") + } > > try(system("convert tmp/1vfft1353253606.ps tmp/1vfft1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/229fb1353253606.ps tmp/229fb1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/39xsx1353253606.ps tmp/39xsx1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/4tjoy1353253606.ps tmp/4tjoy1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/5mpx61353253606.ps tmp/5mpx61353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/6v5zm1353253606.ps tmp/6v5zm1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/7020v1353253606.ps tmp/7020v1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/8j8i51353253606.ps tmp/8j8i51353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/9q96k1353253606.ps tmp/9q96k1353253606.png",intern=TRUE)) character(0) > try(system("convert tmp/10vij91353253606.ps tmp/10vij91353253606.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 8.128 1.338 9.460