R version 3.0.2 (2013-09-25) -- "Frisbee Sailing" Copyright (C) 2013 The R Foundation for Statistical Computing 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(7 + ,41 + ,38 + ,14 + ,12 + ,3 + ,5 + ,39 + ,32 + ,18 + ,11 + ,5 + ,5 + ,30 + ,35 + ,11 + ,14 + ,4 + ,5 + ,31 + ,33 + ,12 + ,12 + ,4 + ,8 + ,34 + ,37 + ,16 + ,21 + ,5 + ,6 + ,35 + ,29 + ,18 + ,12 + ,5 + ,5 + ,39 + ,31 + ,14 + ,22 + ,2 + ,6 + ,34 + ,36 + ,14 + ,11 + ,5 + ,5 + ,36 + ,35 + ,15 + ,10 + ,4 + ,4 + ,37 + ,38 + ,15 + ,13 + ,4 + ,6 + ,38 + ,31 + ,17 + ,10 + ,5 + ,5 + ,36 + ,34 + ,19 + ,8 + ,3 + ,5 + ,38 + ,35 + ,10 + ,15 + ,5 + ,6 + ,39 + ,38 + ,16 + ,14 + ,3 + ,7 + ,33 + ,37 + ,18 + ,10 + ,5 + ,6 + ,32 + ,33 + ,14 + ,14 + ,3 + ,7 + ,36 + ,32 + ,14 + ,14 + ,4 + ,6 + ,38 + ,38 + ,17 + ,11 + ,5 + ,8 + ,39 + ,38 + ,14 + ,10 + ,4 + ,7 + ,32 + ,32 + ,16 + ,13 + ,3 + ,5 + ,32 + ,33 + ,18 + ,7 + ,4 + ,5 + ,31 + ,31 + ,11 + ,14 + ,4 + ,7 + ,39 + ,38 + ,14 + ,12 + ,3 + ,7 + ,37 + ,39 + ,12 + ,14 + ,3 + ,5 + ,39 + ,32 + ,17 + ,11 + ,4 + ,4 + ,41 + ,32 + ,9 + ,9 + ,5 + ,10 + ,36 + ,35 + ,16 + ,11 + ,4 + ,6 + ,33 + ,37 + ,14 + ,15 + ,4 + ,5 + ,33 + 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+ ,6 + ,37 + ,36 + ,12 + ,10 + ,4 + ,6 + ,35 + ,34 + ,12 + ,15 + ,4 + ,5 + ,30 + ,28 + ,8 + ,20 + ,3 + ,7 + ,38 + ,34 + ,13 + ,12 + ,4 + ,6 + ,34 + ,35 + ,11 + ,12 + ,5 + ,8 + ,31 + ,35 + ,14 + ,14 + ,1 + ,7 + ,34 + ,31 + ,15 + ,13 + ,3 + ,5 + ,35 + ,37 + ,10 + ,11 + ,5 + ,6 + ,36 + ,35 + ,11 + ,17 + ,4 + ,6 + ,30 + ,27 + ,12 + ,12 + ,4 + ,5 + ,39 + ,40 + ,15 + ,13 + ,3 + ,5 + ,35 + ,37 + ,15 + ,14 + ,4 + ,5 + ,38 + ,36 + ,14 + ,13 + ,4 + ,5 + ,31 + ,38 + ,16 + ,15 + ,3 + ,4 + ,34 + ,39 + ,15 + ,13 + ,5 + ,6 + ,38 + ,41 + ,15 + ,10 + ,4 + ,6 + ,34 + ,27 + ,13 + ,11 + ,5 + ,6 + ,39 + ,30 + ,12 + ,19 + ,4 + ,6 + ,37 + ,37 + ,17 + ,13 + ,4 + ,7 + ,34 + ,31 + ,13 + ,17 + ,4 + ,5 + ,28 + ,31 + ,15 + ,13 + ,4 + ,7 + ,37 + ,27 + ,13 + ,9 + ,3 + ,6 + ,33 + ,36 + ,15 + ,11 + ,5 + ,5 + ,37 + ,38 + ,16 + ,10 + ,NA + ,5 + ,35 + ,37 + ,15 + ,9 + ,5 + ,4 + ,37 + ,33 + ,16 + ,12 + ,4 + ,8 + ,32 + ,34 + ,15 + ,12 + ,4 + ,8 + ,33 + ,31 + ,14 + ,13 + ,5 + ,5 + ,38 + ,39 + ,15 + ,13 + ,4 + ,5 + ,33 + ,34 + ,14 + ,12 + ,4 + ,6 + ,29 + ,32 + ,13 + ,15 + ,3 + ,4 + ,33 + ,33 + ,7 + ,22 + ,4 + ,5 + ,31 + ,36 + ,17 + ,13 + ,4 + ,5 + ,36 + ,32 + ,13 + ,15 + ,3 + ,5 + ,35 + ,41 + ,15 + ,13 + ,5 + ,5 + ,32 + ,28 + ,14 + ,15 + ,5 + ,6 + ,29 + ,30 + ,13 + ,10 + ,5 + ,6 + ,39 + ,36 + ,16 + ,11 + ,4 + ,5 + ,37 + ,35 + ,12 + ,16 + ,4 + ,6 + ,35 + ,31 + ,14 + ,11 + ,4 + ,5 + ,37 + ,34 + ,17 + ,11 + ,4 + ,7 + ,32 + ,36 + ,15 + ,10 + ,4 + ,5 + ,38 + ,36 + ,17 + ,10 + ,4 + ,6 + ,37 + ,35 + ,12 + ,16 + ,4 + ,6 + ,36 + ,37 + ,16 + ,12 + ,5 + ,6 + ,32 + ,28 + ,11 + ,11 + ,4 + ,4 + ,33 + ,39 + ,15 + ,16 + ,4 + ,5 + ,40 + ,32 + ,9 + ,19 + ,3 + ,5 + ,38 + ,35 + ,16 + ,11 + ,5 + ,7 + ,41 + ,39 + ,15 + ,16 + ,4 + ,6 + ,36 + ,35 + ,10 + ,15 + ,3 + ,9 + ,43 + ,42 + ,10 + ,24 + ,2 + ,6 + ,30 + ,34 + ,15 + ,14 + ,5 + ,6 + ,31 + ,33 + ,11 + ,15 + ,4 + ,5 + ,32 + ,41 + ,13 + ,11 + ,5 + ,6 + ,32 + ,33 + ,14 + ,15 + ,1 + ,5 + ,37 + ,34 + ,18 + ,12 + ,5 + ,8 + ,37 + ,32 + ,16 + ,10 + ,5 + ,7 + ,33 + ,40 + ,14 + ,14 + ,3 + ,5 + ,34 + ,40 + ,14 + ,13 + ,4 + ,7 + ,33 + ,35 + ,14 + ,9 + ,5 + ,6 + ,38 + ,36 + ,14 + ,15 + ,5 + ,6 + ,33 + ,37 + ,12 + ,15 + ,3 + ,9 + ,31 + ,27 + ,14 + ,14 + ,4 + ,7 + ,38 + ,39 + ,15 + ,11 + ,5 + ,6 + ,37 + ,38 + ,15 + ,8 + ,4 + ,5 + ,33 + ,31 + ,15 + ,11 + ,4 + ,5 + ,31 + ,33 + ,13 + ,11 + ,4 + ,6 + ,39 + ,32 + ,17 + ,8 + ,5 + ,6 + ,44 + ,39 + ,17 + ,10 + ,4 + ,7 + ,33 + ,36 + ,19 + ,11 + ,5 + ,5 + ,35 + ,33 + ,15 + ,13 + ,4 + ,5 + ,32 + ,33 + ,13 + ,11 + ,4 + ,5 + ,28 + ,32 + ,9 + ,20 + ,4 + ,6 + ,40 + ,37 + ,15 + ,10 + ,4 + ,4 + ,27 + ,30 + ,15 + ,15 + ,3 + ,5 + ,37 + ,38 + ,15 + ,12 + ,4 + ,7 + ,32 + ,29 + ,16 + ,14 + ,5 + ,5 + ,28 + ,22 + ,11 + ,23 + ,3 + ,7 + ,34 + ,35 + ,14 + ,14 + ,4 + ,7 + ,30 + ,35 + ,11 + ,16 + ,3 + ,6 + ,35 + ,34 + ,15 + ,11 + ,4 + ,5 + ,31 + ,35 + ,13 + ,12 + ,3 + ,8 + ,32 + ,34 + ,15 + ,10 + ,3 + ,5 + ,30 + ,34 + ,16 + ,14 + ,5 + ,5 + ,30 + ,35 + ,14 + ,12 + ,5 + ,5 + ,31 + ,23 + ,15 + ,12 + ,5 + ,6 + ,40 + ,31 + ,16 + ,11 + ,5 + ,4 + ,32 + ,27 + ,16 + ,12 + ,5 + ,5 + ,36 + ,36 + ,11 + ,13 + ,4 + ,5 + ,32 + ,31 + ,12 + ,11 + ,4 + ,7 + ,35 + ,32 + ,9 + ,19 + ,4 + ,6 + ,38 + ,39 + ,16 + ,12 + ,5 + ,7 + ,42 + ,37 + ,13 + ,17 + ,5 + ,10 + ,34 + ,38 + ,16 + ,9 + ,4 + ,6 + ,35 + ,39 + ,12 + ,12 + ,4 + ,8 + ,35 + ,34 + ,9 + ,19 + ,4 + ,4 + ,33 + ,31 + ,13 + ,18 + ,5 + ,5 + ,36 + ,32 + ,13 + ,15 + ,3 + ,6 + ,32 + ,37 + ,14 + ,14 + ,4 + ,7 + ,33 + ,36 + ,19 + ,11 + ,5 + ,7 + ,34 + ,32 + ,13 + ,9 + ,5 + ,6 + ,32 + ,35 + ,12 + ,18 + ,5 + ,6 + ,34 + ,36 + ,13 + ,16 + ,5) + ,dim=c(6 + ,162) + ,dimnames=list(c('X_1t' + ,'X_2t' + ,'X_3t' + ,'X_4t' + ,'X_5t' + ,'Y_t') + ,1:162)) > y <- array(NA,dim=c(6,162),dimnames=list(c('X_1t','X_2t','X_3t','X_4t','X_5t','Y_t'),1:162)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '6' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '6' > #'GNU S' R Code compiled by R2WASP v. 1.2.327 () > #Author: root > #To cite this work: Wessa P., (2013), Multiple Regression (v1.0.29) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_multipleregression.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > # > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following objects 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 Y_t X_1t X_2t X_3t X_4t X_5t 1 3 7 41 38 14 12 2 5 5 39 32 18 11 3 4 5 30 35 11 14 4 4 5 31 33 12 12 5 5 8 34 37 16 21 6 5 6 35 29 18 12 7 2 5 39 31 14 22 8 5 6 34 36 14 11 9 4 5 36 35 15 10 10 4 4 37 38 15 13 11 5 6 38 31 17 10 12 3 5 36 34 19 8 13 5 5 38 35 10 15 14 3 6 39 38 16 14 15 5 7 33 37 18 10 16 3 6 32 33 14 14 17 4 7 36 32 14 14 18 5 6 38 38 17 11 19 4 8 39 38 14 10 20 3 7 32 32 16 13 21 4 5 32 33 18 7 22 4 5 31 31 11 14 23 3 7 39 38 14 12 24 3 7 37 39 12 14 25 4 5 39 32 17 11 26 5 4 41 32 9 9 27 4 10 36 35 16 11 28 4 6 33 37 14 15 29 4 5 33 33 15 14 30 4 5 34 33 11 13 31 4 5 31 28 16 9 32 3 5 27 32 13 15 33 4 6 37 31 17 10 34 5 5 34 37 15 11 35 4 5 34 30 14 13 36 4 5 32 33 16 8 37 3 5 29 31 9 20 38 4 5 36 33 15 12 39 4 5 29 31 17 10 40 4 5 35 33 13 10 41 5 5 37 32 15 9 42 4 7 34 33 16 14 43 3 5 38 32 16 8 44 3 6 35 33 12 14 45 4 7 38 28 12 11 46 4 7 37 35 11 13 47 4 5 38 39 15 9 48 5 5 33 34 15 11 49 4 4 36 38 17 15 50 5 5 38 32 13 11 51 4 4 32 38 16 10 52 4 5 32 30 14 14 53 4 5 32 33 11 18 54 4 7 34 38 12 14 55 4 5 32 32 12 11 56 5 5 37 32 15 12 57 4 6 39 34 16 13 58 4 4 29 34 15 9 59 4 6 37 36 12 10 60 4 6 35 34 12 15 61 3 5 30 28 8 20 62 4 7 38 34 13 12 63 5 6 34 35 11 12 64 1 8 31 35 14 14 65 3 7 34 31 15 13 66 5 5 35 37 10 11 67 4 6 36 35 11 17 68 4 6 30 27 12 12 69 3 5 39 40 15 13 70 4 5 35 37 15 14 71 4 5 38 36 14 13 72 3 5 31 38 16 15 73 5 4 34 39 15 13 74 4 6 38 41 15 10 75 5 6 34 27 13 11 76 4 6 39 30 12 19 77 4 6 37 37 17 13 78 4 7 34 31 13 17 79 4 5 28 31 15 13 80 3 7 37 27 13 9 81 5 6 33 36 15 11 82 NA 5 37 38 16 10 83 5 5 35 37 15 9 84 4 4 37 33 16 12 85 4 8 32 34 15 12 86 5 8 33 31 14 13 87 4 5 38 39 15 13 88 4 5 33 34 14 12 89 3 6 29 32 13 15 90 4 4 33 33 7 22 91 4 5 31 36 17 13 92 3 5 36 32 13 15 93 5 5 35 41 15 13 94 5 5 32 28 14 15 95 5 6 29 30 13 10 96 4 6 39 36 16 11 97 4 5 37 35 12 16 98 4 6 35 31 14 11 99 4 5 37 34 17 11 100 4 7 32 36 15 10 101 4 5 38 36 17 10 102 4 6 37 35 12 16 103 5 6 36 37 16 12 104 4 6 32 28 11 11 105 4 4 33 39 15 16 106 3 5 40 32 9 19 107 5 5 38 35 16 11 108 4 7 41 39 15 16 109 3 6 36 35 10 15 110 2 9 43 42 10 24 111 5 6 30 34 15 14 112 4 6 31 33 11 15 113 5 5 32 41 13 11 114 1 6 32 33 14 15 115 5 5 37 34 18 12 116 5 8 37 32 16 10 117 3 7 33 40 14 14 118 4 5 34 40 14 13 119 5 7 33 35 14 9 120 5 6 38 36 14 15 121 3 6 33 37 12 15 122 4 9 31 27 14 14 123 5 7 38 39 15 11 124 4 6 37 38 15 8 125 4 5 33 31 15 11 126 4 5 31 33 13 11 127 5 6 39 32 17 8 128 4 6 44 39 17 10 129 5 7 33 36 19 11 130 4 5 35 33 15 13 131 4 5 32 33 13 11 132 4 5 28 32 9 20 133 4 6 40 37 15 10 134 3 4 27 30 15 15 135 4 5 37 38 15 12 136 5 7 32 29 16 14 137 3 5 28 22 11 23 138 4 7 34 35 14 14 139 3 7 30 35 11 16 140 4 6 35 34 15 11 141 3 5 31 35 13 12 142 3 8 32 34 15 10 143 5 5 30 34 16 14 144 5 5 30 35 14 12 145 5 5 31 23 15 12 146 5 6 40 31 16 11 147 5 4 32 27 16 12 148 4 5 36 36 11 13 149 4 5 32 31 12 11 150 4 7 35 32 9 19 151 5 6 38 39 16 12 152 5 7 42 37 13 17 153 4 10 34 38 16 9 154 4 6 35 39 12 12 155 4 8 35 34 9 19 156 5 4 33 31 13 18 157 3 5 36 32 13 15 158 4 6 32 37 14 14 159 5 7 33 36 19 11 160 5 7 34 32 13 9 161 5 6 32 35 12 18 162 5 6 34 36 13 16 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) X_1t X_2t X_3t X_4t X_5t 4.73467 -0.06827 0.01293 -0.00887 0.02916 -0.06423 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -2.89069 -0.38977 -0.05244 0.66854 1.58257 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.73467 0.95271 4.970 1.76e-06 *** X_1t -0.06827 0.05260 -1.298 0.19629 X_2t 0.01293 0.01941 0.666 0.50636 X_3t -0.00887 0.01838 -0.483 0.63005 X_4t 0.02916 0.03095 0.942 0.34771 X_5t -0.06424 0.02270 -2.829 0.00529 ** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.7622 on 155 degrees of freedom (1 observation deleted due to missingness) Multiple R-squared: 0.1117, Adjusted R-squared: 0.08308 F-statistic: 3.899 on 5 and 155 DF, p-value: 0.00234 > 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,] 0.19929055 0.39858111 0.80070945 [2,] 0.10943106 0.21886212 0.89056894 [3,] 0.08362446 0.16724892 0.91637554 [4,] 0.91495793 0.17008415 0.08504207 [5,] 0.97523552 0.04952896 0.02476448 [6,] 0.97007305 0.05985390 0.02992695 [7,] 0.95353079 0.09293842 0.04646921 [8,] 0.97986540 0.04026920 0.02013460 [9,] 0.97059738 0.05880525 0.02940262 [10,] 0.96943516 0.06112968 0.03056484 [11,] 0.95975566 0.08048869 0.04024434 [12,] 0.97786641 0.04426719 0.02213359 [13,] 0.97043994 0.05912013 0.02956006 [14,] 0.95651838 0.08696324 0.04348162 [15,] 0.96418313 0.07163373 0.03581687 [16,] 0.96254690 0.07490621 0.03745310 [17,] 0.94801817 0.10396365 0.05198183 [18,] 0.95098678 0.09802643 0.04901322 [19,] 0.93275846 0.13448308 0.06724154 [20,] 0.91096722 0.17806557 0.08903278 [21,] 0.88305214 0.23389572 0.11694786 [22,] 0.84984918 0.30030164 0.15015082 [23,] 0.82319285 0.35361430 0.17680715 [24,] 0.82690545 0.34618909 0.17309455 [25,] 0.79155409 0.41689182 0.20844591 [26,] 0.80029278 0.39941443 0.19970722 [27,] 0.75784408 0.48431185 0.24215592 [28,] 0.72181098 0.55637804 0.27818902 [29,] 0.68409375 0.63181249 0.31590625 [30,] 0.63410114 0.73179772 0.36589886 [31,] 0.58520168 0.82959665 0.41479832 [32,] 0.53436952 0.93126096 0.46563048 [33,] 0.51951644 0.96096711 0.48048356 [34,] 0.46681272 0.93362543 0.53318728 [35,] 0.59903560 0.80192880 0.40096440 [36,] 0.61042369 0.77915262 0.38957631 [37,] 0.56077747 0.87844506 0.43922253 [38,] 0.50954812 0.98090376 0.49045188 [39,] 0.46737038 0.93474076 0.53262962 [40,] 0.48134662 0.96269325 0.51865338 [41,] 0.43226902 0.86453803 0.56773098 [42,] 0.44336502 0.88673005 0.55663498 [43,] 0.40126736 0.80253472 0.59873264 [44,] 0.35487745 0.70975489 0.64512255 [45,] 0.32072869 0.64145739 0.67927131 [46,] 0.27940259 0.55880517 0.72059741 [47,] 0.24010544 0.48021089 0.75989456 [48,] 0.24978653 0.49957307 0.75021347 [49,] 0.21357803 0.42715606 0.78642197 [50,] 0.18592668 0.37185336 0.81407332 [51,] 0.15643035 0.31286069 0.84356965 [52,] 0.12997642 0.25995284 0.87002358 [53,] 0.11364224 0.22728448 0.88635776 [54,] 0.09192438 0.18384875 0.90807562 [55,] 0.10817681 0.21635362 0.89182319 [56,] 0.56477219 0.87045563 0.43522781 [57,] 0.58964269 0.82071463 0.41035731 [58,] 0.60779474 0.78441053 0.39220526 [59,] 0.56944272 0.86111456 0.43055728 [60,] 0.52620212 0.94759577 0.47379788 [61,] 0.58736069 0.82527862 0.41263931 [62,] 0.54281793 0.91436413 0.45718207 [63,] 0.49771308 0.99542617 0.50228692 [64,] 0.52334342 0.95331315 0.47665658 [65,] 0.53714787 0.92570426 0.46285213 [66,] 0.49530394 0.99060787 0.50469606 [67,] 0.50813072 0.98373856 0.49186928 [68,] 0.46906782 0.93813563 0.53093218 [69,] 0.43074947 0.86149893 0.56925053 [70,] 0.39586058 0.79172115 0.60413942 [71,] 0.35714248 0.71428496 0.64285752 [72,] 0.43608378 0.87216755 0.56391622 [73,] 0.45203338 0.90406676 0.54796662 [74,] 0.43799888 0.87599777 0.56200112 [75,] 0.40589923 0.81179846 0.59410077 [76,] 0.36723513 0.73447027 0.63276487 [77,] 0.41731327 0.83462653 0.58268673 [78,] 0.37518753 0.75037506 0.62481247 [79,] 0.33434277 0.66868554 0.66565723 [80,] 0.34434458 0.68868916 0.65565542 [81,] 0.33572246 0.67144492 0.66427754 [82,] 0.30367481 0.60734962 0.69632519 [83,] 0.33630770 0.67261540 0.66369230 [84,] 0.35122246 0.70244492 0.64877754 [85,] 0.37785114 0.75570228 0.62214886 [86,] 0.38721707 0.77443414 0.61278293 [87,] 0.35366761 0.70733521 0.64633239 [88,] 0.31161061 0.62322122 0.68838939 [89,] 0.27540122 0.55080243 0.72459878 [90,] 0.25611961 0.51223922 0.74388039 [91,] 0.22217687 0.44435374 0.77782313 [92,] 0.20903975 0.41807950 0.79096025 [93,] 0.17785042 0.35570084 0.82214958 [94,] 0.17749124 0.35498248 0.82250876 [95,] 0.14807868 0.29615736 0.85192132 [96,] 0.12240856 0.24481713 0.87759144 [97,] 0.11531613 0.23063227 0.88468387 [98,] 0.10482100 0.20964201 0.89517900 [99,] 0.08564560 0.17129121 0.91435440 [100,] 0.08545405 0.17090810 0.91454595 [101,] 0.12754404 0.25508808 0.87245596 [102,] 0.14660498 0.29320996 0.85339502 [103,] 0.12215330 0.24430660 0.87784670 [104,] 0.14768220 0.29536440 0.85231780 [105,] 0.82526996 0.34946008 0.17473004 [106,] 0.80213279 0.39573442 0.19786721 [107,] 0.78755691 0.42488619 0.21244309 [108,] 0.82037306 0.35925389 0.17962694 [109,] 0.78376272 0.43247457 0.21623728 [110,] 0.81106742 0.37786516 0.18893258 [111,] 0.80955602 0.38088797 0.19044398 [112,] 0.83086910 0.33826180 0.16913090 [113,] 0.79822842 0.40354316 0.20177158 [114,] 0.79207321 0.41585358 0.20792679 [115,] 0.75555218 0.48889563 0.24444782 [116,] 0.71542530 0.56914940 0.28457470 [117,] 0.66455405 0.67089190 0.33544595 [118,] 0.62198651 0.75602697 0.37801349 [119,] 0.65236818 0.69526364 0.34763182 [120,] 0.61399484 0.77201031 0.38600516 [121,] 0.57881418 0.84237163 0.42118582 [122,] 0.51772921 0.96454158 0.48227079 [123,] 0.49157804 0.98315609 0.50842196 [124,] 0.48948629 0.97897258 0.51051371 [125,] 0.57321170 0.85357659 0.42678830 [126,] 0.57274310 0.85451381 0.42725690 [127,] 0.55753585 0.88492830 0.44246415 [128,] 0.65379623 0.69240754 0.34620377 [129,] 0.59905405 0.80189189 0.40094595 [130,] 0.61372988 0.77254024 0.38627012 [131,] 0.56508213 0.86983575 0.43491787 [132,] 0.68910340 0.62179320 0.31089660 [133,] 0.84578499 0.30843001 0.15421501 [134,] 0.79754721 0.40490558 0.20245279 [135,] 0.77971485 0.44057031 0.22028515 [136,] 0.71506806 0.56986388 0.28493194 [137,] 0.63701536 0.72596928 0.36298464 [138,] 0.55473484 0.89053032 0.44526516 [139,] 0.45278450 0.90556900 0.54721550 [140,] 0.34878346 0.69756692 0.65121654 [141,] 0.25728051 0.51456102 0.74271949 [142,] 0.18932133 0.37864266 0.81067867 [143,] 0.37337235 0.74674469 0.62662765 [144,] 0.27432905 0.54865811 0.72567095 [145,] 0.18240432 0.36480863 0.81759568 > postscript(file="/var/wessaorg/rcomp/tmp/10q8u1383234873.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$resid) Warning message: In x[, 1] - mysum$resid : longer object length is not a multiple of shorter object length > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/23n7z1383234873.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/32kje1383234873.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/43hjb1383234873.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5bwhe1383234873.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 -1.08711888 0.56811730 0.10787159 -0.08042167 1.58257428 0.72572157 7 8 9 10 11 12 -1.61754419 0.85312844 -0.34325702 -0.20513954 0.60536567 -1.59722143 13 14 15 16 17 18 1.09784347 -1.05937630 0.76233589 -0.95492196 0.05276815 0.73169026 19 20 21 22 23 24 -0.12146421 -1.01806949 -0.58946052 0.05946437 -1.06126409 -0.83975722 25 26 27 28 29 30 -0.40272653 0.60792858 0.03316998 0.13186536 -0.06527519 -0.02581280 31 32 33 34 35 36 -0.43410079 -0.87403353 -0.38170693 0.76457257 -0.13989117 -0.46691330 37 38 39 40 41 42 -0.47095916 -0.23252716 -0.34655741 -0.28975720 0.55297082 0.02918056 43 44 45 46 47 48 -1.55334764 -0.93539182 -0.14295881 0.08968423 -0.39786688 0.75089010 49 50 51 52 53 54 -0.12205470 0.72682554 -0.36236339 -0.04980149 0.32121645 0.19015502 55 56 57 58 59 60 -0.16645391 0.74567549 -0.15909101 -0.39413975 -0.19157630 0.13771303 61 62 63 64 65 66 -0.48134026 -0.05466035 0.99596188 -2.78771534 -1.02363807 0.89742602 67 68 69 70 71 72 0.29128154 -0.05244435 -1.14498476 -0.05565015 -0.13838102 -0.95999189 73 74 75 76 77 78 0.84251261 -0.24762242 0.80245500 0.30746317 -0.13578252 0.29161382 79 80 81 83 84 85 -0.08261300 -1.29652731 0.83689967 0.62317540 -0.34288038 0.03286136 86 87 88 89 90 91 1.08671515 -0.14092732 -0.15571884 -0.83161867 0.61358363 -0.13535775 92 93 94 95 96 97 -0.99038011 0.91559478 0.99669349 0.82946697 -0.26982088 0.11669342 98 99 100 101 102 103 -0.20414874 -0.35913183 -0.14613817 -0.41855420 0.18496308 0.84206616 104 105 106 107 108 109 -0.10450791 0.04814468 -0.66852546 0.66596690 0.14953447 -0.80803208 110 111 112 113 114 115 -1.05351118 1.05064662 0.20970883 0.88421953 -2.89068707 0.67594690 116 117 118 119 120 121 0.79285851 -0.83749001 -0.05119161 0.79698576 1.05835841 -0.80982231 122 123 124 125 126 127 0.20959466 0.86714221 -0.38977468 -0.27571977 -0.17381272 0.47283845 128 129 130 131 132 133 -0.40123906 0.78854465 -0.15536487 -0.18674012 0.55083820 -0.30895704 134 135 136 137 138 139 -1.01835544 -0.20110477 1.01955553 -0.40346904 0.10523281 -0.62711931 140 141 142 143 144 145 -0.20669504 -1.09183792 -1.09560842 0.95322079 0.89193331 0.74341026 146 147 148 149 150 151 0.67290194 0.66853687 -0.02505772 -0.17532387 0.53265084 0.83395127 152 153 154 155 156 157 1.24141438 -0.04283514 -0.01064186 0.61866041 1.16396714 -0.99038011 158 159 160 161 162 0.08055786 0.78854465 0.78660466 1.37806985 1.20345906 > postscript(file="/var/wessaorg/rcomp/tmp/6yegm1383234873.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 -1.08711888 NA 1 0.56811730 -1.08711888 2 0.10787159 0.56811730 3 -0.08042167 0.10787159 4 1.58257428 -0.08042167 5 0.72572157 1.58257428 6 -1.61754419 0.72572157 7 0.85312844 -1.61754419 8 -0.34325702 0.85312844 9 -0.20513954 -0.34325702 10 0.60536567 -0.20513954 11 -1.59722143 0.60536567 12 1.09784347 -1.59722143 13 -1.05937630 1.09784347 14 0.76233589 -1.05937630 15 -0.95492196 0.76233589 16 0.05276815 -0.95492196 17 0.73169026 0.05276815 18 -0.12146421 0.73169026 19 -1.01806949 -0.12146421 20 -0.58946052 -1.01806949 21 0.05946437 -0.58946052 22 -1.06126409 0.05946437 23 -0.83975722 -1.06126409 24 -0.40272653 -0.83975722 25 0.60792858 -0.40272653 26 0.03316998 0.60792858 27 0.13186536 0.03316998 28 -0.06527519 0.13186536 29 -0.02581280 -0.06527519 30 -0.43410079 -0.02581280 31 -0.87403353 -0.43410079 32 -0.38170693 -0.87403353 33 0.76457257 -0.38170693 34 -0.13989117 0.76457257 35 -0.46691330 -0.13989117 36 -0.47095916 -0.46691330 37 -0.23252716 -0.47095916 38 -0.34655741 -0.23252716 39 -0.28975720 -0.34655741 40 0.55297082 -0.28975720 41 0.02918056 0.55297082 42 -1.55334764 0.02918056 43 -0.93539182 -1.55334764 44 -0.14295881 -0.93539182 45 0.08968423 -0.14295881 46 -0.39786688 0.08968423 47 0.75089010 -0.39786688 48 -0.12205470 0.75089010 49 0.72682554 -0.12205470 50 -0.36236339 0.72682554 51 -0.04980149 -0.36236339 52 0.32121645 -0.04980149 53 0.19015502 0.32121645 54 -0.16645391 0.19015502 55 0.74567549 -0.16645391 56 -0.15909101 0.74567549 57 -0.39413975 -0.15909101 58 -0.19157630 -0.39413975 59 0.13771303 -0.19157630 60 -0.48134026 0.13771303 61 -0.05466035 -0.48134026 62 0.99596188 -0.05466035 63 -2.78771534 0.99596188 64 -1.02363807 -2.78771534 65 0.89742602 -1.02363807 66 0.29128154 0.89742602 67 -0.05244435 0.29128154 68 -1.14498476 -0.05244435 69 -0.05565015 -1.14498476 70 -0.13838102 -0.05565015 71 -0.95999189 -0.13838102 72 0.84251261 -0.95999189 73 -0.24762242 0.84251261 74 0.80245500 -0.24762242 75 0.30746317 0.80245500 76 -0.13578252 0.30746317 77 0.29161382 -0.13578252 78 -0.08261300 0.29161382 79 -1.29652731 -0.08261300 80 0.83689967 -1.29652731 81 0.62317540 0.83689967 82 -0.34288038 0.62317540 83 0.03286136 -0.34288038 84 1.08671515 0.03286136 85 -0.14092732 1.08671515 86 -0.15571884 -0.14092732 87 -0.83161867 -0.15571884 88 0.61358363 -0.83161867 89 -0.13535775 0.61358363 90 -0.99038011 -0.13535775 91 0.91559478 -0.99038011 92 0.99669349 0.91559478 93 0.82946697 0.99669349 94 -0.26982088 0.82946697 95 0.11669342 -0.26982088 96 -0.20414874 0.11669342 97 -0.35913183 -0.20414874 98 -0.14613817 -0.35913183 99 -0.41855420 -0.14613817 100 0.18496308 -0.41855420 101 0.84206616 0.18496308 102 -0.10450791 0.84206616 103 0.04814468 -0.10450791 104 -0.66852546 0.04814468 105 0.66596690 -0.66852546 106 0.14953447 0.66596690 107 -0.80803208 0.14953447 108 -1.05351118 -0.80803208 109 1.05064662 -1.05351118 110 0.20970883 1.05064662 111 0.88421953 0.20970883 112 -2.89068707 0.88421953 113 0.67594690 -2.89068707 114 0.79285851 0.67594690 115 -0.83749001 0.79285851 116 -0.05119161 -0.83749001 117 0.79698576 -0.05119161 118 1.05835841 0.79698576 119 -0.80982231 1.05835841 120 0.20959466 -0.80982231 121 0.86714221 0.20959466 122 -0.38977468 0.86714221 123 -0.27571977 -0.38977468 124 -0.17381272 -0.27571977 125 0.47283845 -0.17381272 126 -0.40123906 0.47283845 127 0.78854465 -0.40123906 128 -0.15536487 0.78854465 129 -0.18674012 -0.15536487 130 0.55083820 -0.18674012 131 -0.30895704 0.55083820 132 -1.01835544 -0.30895704 133 -0.20110477 -1.01835544 134 1.01955553 -0.20110477 135 -0.40346904 1.01955553 136 0.10523281 -0.40346904 137 -0.62711931 0.10523281 138 -0.20669504 -0.62711931 139 -1.09183792 -0.20669504 140 -1.09560842 -1.09183792 141 0.95322079 -1.09560842 142 0.89193331 0.95322079 143 0.74341026 0.89193331 144 0.67290194 0.74341026 145 0.66853687 0.67290194 146 -0.02505772 0.66853687 147 -0.17532387 -0.02505772 148 0.53265084 -0.17532387 149 0.83395127 0.53265084 150 1.24141438 0.83395127 151 -0.04283514 1.24141438 152 -0.01064186 -0.04283514 153 0.61866041 -0.01064186 154 1.16396714 0.61866041 155 -0.99038011 1.16396714 156 0.08055786 -0.99038011 157 0.78854465 0.08055786 158 0.78660466 0.78854465 159 1.37806985 0.78660466 160 1.20345906 1.37806985 161 NA 1.20345906 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 0.56811730 -1.08711888 [2,] 0.10787159 0.56811730 [3,] -0.08042167 0.10787159 [4,] 1.58257428 -0.08042167 [5,] 0.72572157 1.58257428 [6,] -1.61754419 0.72572157 [7,] 0.85312844 -1.61754419 [8,] -0.34325702 0.85312844 [9,] -0.20513954 -0.34325702 [10,] 0.60536567 -0.20513954 [11,] -1.59722143 0.60536567 [12,] 1.09784347 -1.59722143 [13,] -1.05937630 1.09784347 [14,] 0.76233589 -1.05937630 [15,] -0.95492196 0.76233589 [16,] 0.05276815 -0.95492196 [17,] 0.73169026 0.05276815 [18,] -0.12146421 0.73169026 [19,] -1.01806949 -0.12146421 [20,] -0.58946052 -1.01806949 [21,] 0.05946437 -0.58946052 [22,] -1.06126409 0.05946437 [23,] -0.83975722 -1.06126409 [24,] -0.40272653 -0.83975722 [25,] 0.60792858 -0.40272653 [26,] 0.03316998 0.60792858 [27,] 0.13186536 0.03316998 [28,] -0.06527519 0.13186536 [29,] -0.02581280 -0.06527519 [30,] -0.43410079 -0.02581280 [31,] -0.87403353 -0.43410079 [32,] -0.38170693 -0.87403353 [33,] 0.76457257 -0.38170693 [34,] -0.13989117 0.76457257 [35,] -0.46691330 -0.13989117 [36,] -0.47095916 -0.46691330 [37,] -0.23252716 -0.47095916 [38,] -0.34655741 -0.23252716 [39,] -0.28975720 -0.34655741 [40,] 0.55297082 -0.28975720 [41,] 0.02918056 0.55297082 [42,] -1.55334764 0.02918056 [43,] -0.93539182 -1.55334764 [44,] -0.14295881 -0.93539182 [45,] 0.08968423 -0.14295881 [46,] -0.39786688 0.08968423 [47,] 0.75089010 -0.39786688 [48,] -0.12205470 0.75089010 [49,] 0.72682554 -0.12205470 [50,] -0.36236339 0.72682554 [51,] -0.04980149 -0.36236339 [52,] 0.32121645 -0.04980149 [53,] 0.19015502 0.32121645 [54,] -0.16645391 0.19015502 [55,] 0.74567549 -0.16645391 [56,] -0.15909101 0.74567549 [57,] -0.39413975 -0.15909101 [58,] -0.19157630 -0.39413975 [59,] 0.13771303 -0.19157630 [60,] -0.48134026 0.13771303 [61,] -0.05466035 -0.48134026 [62,] 0.99596188 -0.05466035 [63,] -2.78771534 0.99596188 [64,] -1.02363807 -2.78771534 [65,] 0.89742602 -1.02363807 [66,] 0.29128154 0.89742602 [67,] -0.05244435 0.29128154 [68,] -1.14498476 -0.05244435 [69,] -0.05565015 -1.14498476 [70,] -0.13838102 -0.05565015 [71,] -0.95999189 -0.13838102 [72,] 0.84251261 -0.95999189 [73,] -0.24762242 0.84251261 [74,] 0.80245500 -0.24762242 [75,] 0.30746317 0.80245500 [76,] -0.13578252 0.30746317 [77,] 0.29161382 -0.13578252 [78,] -0.08261300 0.29161382 [79,] -1.29652731 -0.08261300 [80,] 0.83689967 -1.29652731 [81,] 0.62317540 0.83689967 [82,] -0.34288038 0.62317540 [83,] 0.03286136 -0.34288038 [84,] 1.08671515 0.03286136 [85,] -0.14092732 1.08671515 [86,] -0.15571884 -0.14092732 [87,] -0.83161867 -0.15571884 [88,] 0.61358363 -0.83161867 [89,] -0.13535775 0.61358363 [90,] -0.99038011 -0.13535775 [91,] 0.91559478 -0.99038011 [92,] 0.99669349 0.91559478 [93,] 0.82946697 0.99669349 [94,] -0.26982088 0.82946697 [95,] 0.11669342 -0.26982088 [96,] -0.20414874 0.11669342 [97,] -0.35913183 -0.20414874 [98,] -0.14613817 -0.35913183 [99,] -0.41855420 -0.14613817 [100,] 0.18496308 -0.41855420 [101,] 0.84206616 0.18496308 [102,] -0.10450791 0.84206616 [103,] 0.04814468 -0.10450791 [104,] -0.66852546 0.04814468 [105,] 0.66596690 -0.66852546 [106,] 0.14953447 0.66596690 [107,] -0.80803208 0.14953447 [108,] -1.05351118 -0.80803208 [109,] 1.05064662 -1.05351118 [110,] 0.20970883 1.05064662 [111,] 0.88421953 0.20970883 [112,] -2.89068707 0.88421953 [113,] 0.67594690 -2.89068707 [114,] 0.79285851 0.67594690 [115,] -0.83749001 0.79285851 [116,] -0.05119161 -0.83749001 [117,] 0.79698576 -0.05119161 [118,] 1.05835841 0.79698576 [119,] -0.80982231 1.05835841 [120,] 0.20959466 -0.80982231 [121,] 0.86714221 0.20959466 [122,] -0.38977468 0.86714221 [123,] -0.27571977 -0.38977468 [124,] -0.17381272 -0.27571977 [125,] 0.47283845 -0.17381272 [126,] -0.40123906 0.47283845 [127,] 0.78854465 -0.40123906 [128,] -0.15536487 0.78854465 [129,] -0.18674012 -0.15536487 [130,] 0.55083820 -0.18674012 [131,] -0.30895704 0.55083820 [132,] -1.01835544 -0.30895704 [133,] -0.20110477 -1.01835544 [134,] 1.01955553 -0.20110477 [135,] -0.40346904 1.01955553 [136,] 0.10523281 -0.40346904 [137,] -0.62711931 0.10523281 [138,] -0.20669504 -0.62711931 [139,] -1.09183792 -0.20669504 [140,] -1.09560842 -1.09183792 [141,] 0.95322079 -1.09560842 [142,] 0.89193331 0.95322079 [143,] 0.74341026 0.89193331 [144,] 0.67290194 0.74341026 [145,] 0.66853687 0.67290194 [146,] -0.02505772 0.66853687 [147,] -0.17532387 -0.02505772 [148,] 0.53265084 -0.17532387 [149,] 0.83395127 0.53265084 [150,] 1.24141438 0.83395127 [151,] -0.04283514 1.24141438 [152,] -0.01064186 -0.04283514 [153,] 0.61866041 -0.01064186 [154,] 1.16396714 0.61866041 [155,] -0.99038011 1.16396714 [156,] 0.08055786 -0.99038011 [157,] 0.78854465 0.08055786 [158,] 0.78660466 0.78854465 [159,] 1.37806985 0.78660466 [160,] 1.20345906 1.37806985 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 0.56811730 -1.08711888 2 0.10787159 0.56811730 3 -0.08042167 0.10787159 4 1.58257428 -0.08042167 5 0.72572157 1.58257428 6 -1.61754419 0.72572157 7 0.85312844 -1.61754419 8 -0.34325702 0.85312844 9 -0.20513954 -0.34325702 10 0.60536567 -0.20513954 11 -1.59722143 0.60536567 12 1.09784347 -1.59722143 13 -1.05937630 1.09784347 14 0.76233589 -1.05937630 15 -0.95492196 0.76233589 16 0.05276815 -0.95492196 17 0.73169026 0.05276815 18 -0.12146421 0.73169026 19 -1.01806949 -0.12146421 20 -0.58946052 -1.01806949 21 0.05946437 -0.58946052 22 -1.06126409 0.05946437 23 -0.83975722 -1.06126409 24 -0.40272653 -0.83975722 25 0.60792858 -0.40272653 26 0.03316998 0.60792858 27 0.13186536 0.03316998 28 -0.06527519 0.13186536 29 -0.02581280 -0.06527519 30 -0.43410079 -0.02581280 31 -0.87403353 -0.43410079 32 -0.38170693 -0.87403353 33 0.76457257 -0.38170693 34 -0.13989117 0.76457257 35 -0.46691330 -0.13989117 36 -0.47095916 -0.46691330 37 -0.23252716 -0.47095916 38 -0.34655741 -0.23252716 39 -0.28975720 -0.34655741 40 0.55297082 -0.28975720 41 0.02918056 0.55297082 42 -1.55334764 0.02918056 43 -0.93539182 -1.55334764 44 -0.14295881 -0.93539182 45 0.08968423 -0.14295881 46 -0.39786688 0.08968423 47 0.75089010 -0.39786688 48 -0.12205470 0.75089010 49 0.72682554 -0.12205470 50 -0.36236339 0.72682554 51 -0.04980149 -0.36236339 52 0.32121645 -0.04980149 53 0.19015502 0.32121645 54 -0.16645391 0.19015502 55 0.74567549 -0.16645391 56 -0.15909101 0.74567549 57 -0.39413975 -0.15909101 58 -0.19157630 -0.39413975 59 0.13771303 -0.19157630 60 -0.48134026 0.13771303 61 -0.05466035 -0.48134026 62 0.99596188 -0.05466035 63 -2.78771534 0.99596188 64 -1.02363807 -2.78771534 65 0.89742602 -1.02363807 66 0.29128154 0.89742602 67 -0.05244435 0.29128154 68 -1.14498476 -0.05244435 69 -0.05565015 -1.14498476 70 -0.13838102 -0.05565015 71 -0.95999189 -0.13838102 72 0.84251261 -0.95999189 73 -0.24762242 0.84251261 74 0.80245500 -0.24762242 75 0.30746317 0.80245500 76 -0.13578252 0.30746317 77 0.29161382 -0.13578252 78 -0.08261300 0.29161382 79 -1.29652731 -0.08261300 80 0.83689967 -1.29652731 81 0.62317540 0.83689967 82 -0.34288038 0.62317540 83 0.03286136 -0.34288038 84 1.08671515 0.03286136 85 -0.14092732 1.08671515 86 -0.15571884 -0.14092732 87 -0.83161867 -0.15571884 88 0.61358363 -0.83161867 89 -0.13535775 0.61358363 90 -0.99038011 -0.13535775 91 0.91559478 -0.99038011 92 0.99669349 0.91559478 93 0.82946697 0.99669349 94 -0.26982088 0.82946697 95 0.11669342 -0.26982088 96 -0.20414874 0.11669342 97 -0.35913183 -0.20414874 98 -0.14613817 -0.35913183 99 -0.41855420 -0.14613817 100 0.18496308 -0.41855420 101 0.84206616 0.18496308 102 -0.10450791 0.84206616 103 0.04814468 -0.10450791 104 -0.66852546 0.04814468 105 0.66596690 -0.66852546 106 0.14953447 0.66596690 107 -0.80803208 0.14953447 108 -1.05351118 -0.80803208 109 1.05064662 -1.05351118 110 0.20970883 1.05064662 111 0.88421953 0.20970883 112 -2.89068707 0.88421953 113 0.67594690 -2.89068707 114 0.79285851 0.67594690 115 -0.83749001 0.79285851 116 -0.05119161 -0.83749001 117 0.79698576 -0.05119161 118 1.05835841 0.79698576 119 -0.80982231 1.05835841 120 0.20959466 -0.80982231 121 0.86714221 0.20959466 122 -0.38977468 0.86714221 123 -0.27571977 -0.38977468 124 -0.17381272 -0.27571977 125 0.47283845 -0.17381272 126 -0.40123906 0.47283845 127 0.78854465 -0.40123906 128 -0.15536487 0.78854465 129 -0.18674012 -0.15536487 130 0.55083820 -0.18674012 131 -0.30895704 0.55083820 132 -1.01835544 -0.30895704 133 -0.20110477 -1.01835544 134 1.01955553 -0.20110477 135 -0.40346904 1.01955553 136 0.10523281 -0.40346904 137 -0.62711931 0.10523281 138 -0.20669504 -0.62711931 139 -1.09183792 -0.20669504 140 -1.09560842 -1.09183792 141 0.95322079 -1.09560842 142 0.89193331 0.95322079 143 0.74341026 0.89193331 144 0.67290194 0.74341026 145 0.66853687 0.67290194 146 -0.02505772 0.66853687 147 -0.17532387 -0.02505772 148 0.53265084 -0.17532387 149 0.83395127 0.53265084 150 1.24141438 0.83395127 151 -0.04283514 1.24141438 152 -0.01064186 -0.04283514 153 0.61866041 -0.01064186 154 1.16396714 0.61866041 155 -0.99038011 1.16396714 156 0.08055786 -0.99038011 157 0.78854465 0.08055786 158 0.78660466 0.78854465 159 1.37806985 0.78660466 160 1.20345906 1.37806985 > 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/7su9l1383234873.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/8ohp61383234873.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/9ckce1383234873.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/10gnpg1383234873.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$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, signif(mysum$coefficients[i,1],6), sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11bv791383234873.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,signif(mysum$coefficients[i,1],6)) + a<-table.element(a, signif(mysum$coefficients[i,2],6)) + a<-table.element(a, signif(mysum$coefficients[i,3],4)) + a<-table.element(a, signif(mysum$coefficients[i,4],6)) + a<-table.element(a, signif(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12g81i1383234873.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, signif(sqrt(mysum$r.squared),6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, signif(mysum$r.squared,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, signif(mysum$adj.r.squared,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[1],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[2],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[3],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6)) > 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, signif(mysum$sigma,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, signif(sum(myerror*myerror),6)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13zwtw1383234873.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,signif(x[i],6)) + a<-table.element(a,signif(x[i]-mysum$resid[i],6)) + a<-table.element(a,signif(mysum$resid[i],6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/142gka1383234873.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,signif(gqarr[mypoint-kp3+1,1],6)) + a<-table.element(a,signif(gqarr[mypoint-kp3+1,2],6)) + a<-table.element(a,signif(gqarr[mypoint-kp3+1,3],6)) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/157dhh1383234873.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,signif(numsignificant1,6)) + a<-table.element(a,signif(numsignificant1/numgqtests,6)) + 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,signif(numsignificant5,6)) + a<-table.element(a,signif(numsignificant5/numgqtests,6)) + 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,signif(numsignificant10,6)) + a<-table.element(a,signif(numsignificant10/numgqtests,6)) + 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/16xmt31383234873.tab") + } > > try(system("convert tmp/10q8u1383234873.ps tmp/10q8u1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/23n7z1383234873.ps tmp/23n7z1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/32kje1383234873.ps tmp/32kje1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/43hjb1383234873.ps tmp/43hjb1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/5bwhe1383234873.ps tmp/5bwhe1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/6yegm1383234873.ps tmp/6yegm1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/7su9l1383234873.ps tmp/7su9l1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/8ohp61383234873.ps tmp/8ohp61383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/9ckce1383234873.ps tmp/9ckce1383234873.png",intern=TRUE)) character(0) > try(system("convert tmp/10gnpg1383234873.ps tmp/10gnpg1383234873.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 8.933 1.854 10.770