R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 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. Natural language support but running in an English locale 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(26 + ,24 + ,14 + ,11 + ,12 + ,24 + ,23 + ,25 + ,11 + ,7 + ,8 + ,25 + ,25 + ,17 + ,6 + ,17 + ,8 + ,30 + ,23 + ,18 + ,12 + ,10 + ,8 + ,19 + ,19 + ,18 + ,8 + ,12 + ,9 + ,22 + ,29 + ,16 + ,10 + ,12 + ,7 + ,22 + ,25 + ,20 + ,10 + ,11 + ,4 + ,25 + ,21 + ,16 + ,11 + ,11 + ,11 + ,23 + ,22 + ,18 + ,16 + ,12 + ,7 + ,17 + ,25 + ,17 + ,11 + ,13 + ,7 + ,21 + ,24 + ,23 + ,13 + ,14 + ,12 + ,19 + ,18 + ,30 + ,12 + ,16 + ,10 + ,19 + ,22 + ,23 + ,8 + ,11 + ,10 + ,15 + ,15 + ,18 + ,12 + ,10 + ,8 + ,16 + ,22 + ,15 + ,11 + ,11 + ,8 + ,23 + ,28 + ,12 + ,4 + ,15 + ,4 + ,27 + ,20 + ,21 + ,9 + ,9 + ,9 + ,22 + ,12 + ,15 + ,8 + ,11 + ,8 + ,14 + ,24 + ,20 + ,8 + ,17 + ,7 + ,22 + ,20 + ,31 + ,14 + ,17 + ,11 + ,23 + ,21 + ,27 + ,15 + ,11 + ,9 + ,23 + ,20 + ,34 + ,16 + ,18 + ,11 + ,21 + ,21 + ,21 + ,9 + ,14 + ,13 + ,19 + ,23 + ,31 + ,14 + ,10 + ,8 + ,18 + ,28 + ,19 + ,11 + ,11 + ,8 + ,20 + ,24 + ,16 + ,8 + ,15 + ,9 + ,23 + ,24 + ,20 + ,9 + ,15 + ,6 + ,25 + ,24 + ,21 + ,9 + ,13 + ,9 + ,19 + ,23 + ,22 + ,9 + ,16 + ,9 + ,24 + ,23 + ,17 + ,9 + ,13 + ,6 + ,22 + ,29 + ,24 + ,10 + ,9 + ,6 + ,25 + ,24 + ,25 + ,16 + ,18 + ,16 + ,26 + ,18 + ,26 + ,11 + ,18 + ,5 + ,29 + ,25 + ,25 + ,8 + ,12 + ,7 + ,32 + ,21 + ,17 + ,9 + ,17 + ,9 + ,25 + ,26 + ,32 + ,16 + ,9 + ,6 + ,29 + ,22 + ,33 + ,11 + ,9 + ,6 + ,28 + ,22 + ,13 + ,16 + ,12 + ,5 + ,17 + ,22 + ,32 + ,12 + ,18 + ,12 + ,28 + ,23 + ,25 + ,12 + ,12 + ,7 + ,29 + ,30 + ,29 + ,14 + ,18 + ,10 + ,26 + ,23 + ,22 + ,9 + ,14 + ,9 + ,25 + ,17 + ,18 + ,10 + ,15 + ,8 + ,14 + ,23 + ,17 + ,9 + ,16 + ,5 + ,25 + ,23 + ,20 + ,10 + ,10 + ,8 + ,26 + ,25 + ,15 + ,12 + ,11 + ,8 + ,20 + ,24 + ,20 + ,14 + ,14 + ,10 + ,18 + ,24 + ,33 + ,14 + ,9 + ,6 + ,32 + ,23 + ,29 + ,10 + ,12 + ,8 + ,25 + ,21 + ,23 + ,14 + ,17 + ,7 + ,25 + ,24 + ,26 + ,16 + ,5 + ,4 + ,23 + ,24 + ,18 + ,9 + ,12 + ,8 + ,21 + ,28 + ,20 + ,10 + ,12 + ,8 + ,20 + ,16 + ,11 + ,6 + ,6 + ,4 + ,15 + ,20 + ,28 + ,8 + ,24 + ,20 + ,30 + ,29 + ,26 + ,13 + ,12 + ,8 + ,24 + ,27 + ,22 + ,10 + ,12 + ,8 + ,26 + ,22 + ,17 + ,8 + ,14 + ,6 + ,24 + ,28 + ,12 + ,7 + ,7 + ,4 + ,22 + ,16 + ,14 + ,15 + ,13 + ,8 + ,14 + ,25 + ,17 + ,9 + ,12 + ,9 + ,24 + ,24 + ,21 + ,10 + ,13 + ,6 + ,24 + ,28 + ,19 + ,12 + ,14 + ,7 + ,24 + ,24 + ,18 + ,13 + ,8 + ,9 + ,24 + ,23 + ,10 + ,10 + ,11 + ,5 + ,19 + ,30 + ,29 + ,11 + ,9 + ,5 + ,31 + ,24 + ,31 + ,8 + ,11 + ,8 + ,22 + ,21 + ,19 + ,9 + ,13 + ,8 + ,27 + ,25 + ,9 + ,13 + ,10 + ,6 + ,19 + ,25 + ,20 + ,11 + ,11 + ,8 + ,25 + ,22 + ,28 + ,8 + ,12 + ,7 + ,20 + ,23 + ,19 + ,9 + ,9 + ,7 + ,21 + ,26 + ,30 + ,9 + ,15 + ,9 + ,27 + ,23 + ,29 + ,15 + ,18 + ,11 + ,23 + ,25 + ,26 + ,9 + ,15 + ,6 + ,25 + ,21 + ,23 + ,10 + ,12 + ,8 + ,20 + ,25 + ,13 + ,14 + ,13 + ,6 + ,21 + ,24 + ,21 + ,12 + ,14 + ,9 + ,22 + ,29 + ,19 + ,12 + ,10 + ,8 + ,23 + ,22 + ,28 + ,11 + ,13 + ,6 + ,25 + ,27 + ,23 + ,14 + ,13 + ,10 + ,25 + ,26 + ,18 + ,6 + ,11 + ,8 + ,17 + ,22 + ,21 + ,12 + ,13 + ,8 + ,19 + ,24 + ,20 + ,8 + ,16 + ,10 + ,25 + ,27 + ,23 + ,14 + ,8 + ,5 + ,19 + ,24 + ,21 + ,11 + ,16 + ,7 + ,20 + ,24 + ,21 + ,10 + ,11 + ,5 + ,26 + ,29 + ,15 + ,14 + ,9 + ,8 + ,23 + ,22 + ,28 + ,12 + ,16 + ,14 + ,27 + ,21 + ,19 + ,10 + ,12 + ,7 + ,17 + ,24 + ,26 + ,14 + ,14 + ,8 + ,17 + ,24 + ,10 + ,5 + ,8 + ,6 + ,19 + ,23 + ,16 + ,11 + ,9 + ,5 + ,17 + ,20 + ,22 + ,10 + ,15 + ,6 + ,22 + ,27 + ,19 + ,9 + ,11 + ,10 + ,21 + ,26 + ,31 + ,10 + ,21 + ,12 + ,32 + ,25 + ,31 + ,16 + ,14 + ,9 + ,21 + ,21 + ,29 + ,13 + ,18 + ,12 + ,21 + ,21 + ,19 + ,9 + ,12 + ,7 + ,18 + ,19 + ,22 + ,10 + ,13 + ,8 + ,18 + ,21 + ,23 + ,10 + ,15 + ,10 + ,23 + ,21 + ,15 + ,7 + ,12 + ,6 + ,19 + ,16 + ,20 + ,9 + ,19 + ,10 + ,20 + ,22 + ,18 + ,8 + ,15 + ,10 + ,21 + ,29 + ,23 + ,14 + ,11 + ,10 + ,20 + ,15 + ,25 + ,14 + ,11 + ,5 + ,17 + ,17 + ,21 + ,8 + ,10 + ,7 + ,18 + ,15 + ,24 + ,9 + ,13 + ,10 + ,19 + ,21 + ,25 + ,14 + ,15 + ,11 + ,22 + ,21 + ,17 + ,14 + ,12 + ,6 + ,15 + ,19 + ,13 + ,8 + ,12 + ,7 + ,14 + ,24 + ,28 + ,8 + ,16 + ,12 + ,18 + ,20 + ,21 + ,8 + ,9 + ,11 + ,24 + ,17 + ,25 + ,7 + ,18 + ,11 + ,35 + ,23 + ,9 + ,6 + ,8 + ,11 + ,29 + ,24 + ,16 + ,8 + ,13 + ,5 + ,21 + ,14 + ,19 + ,6 + ,17 + ,8 + ,25 + ,19 + ,17 + ,11 + ,9 + ,6 + ,20 + ,24 + ,25 + ,14 + ,15 + ,9 + ,22 + ,13 + ,20 + ,11 + ,8 + ,4 + ,13 + ,22 + ,29 + ,11 + ,7 + ,4 + ,26 + ,16 + ,14 + ,11 + ,12 + ,7 + ,17 + ,19 + ,22 + ,14 + ,14 + ,11 + ,25 + ,25 + ,15 + ,8 + ,6 + ,6 + ,20 + ,25 + ,19 + ,20 + ,8 + ,7 + ,19 + ,23 + ,20 + ,11 + ,17 + ,8 + ,21 + ,24 + ,15 + ,8 + ,10 + ,4 + ,22 + ,26 + ,20 + ,11 + ,11 + ,8 + ,24 + ,26 + ,18 + ,10 + ,14 + ,9 + ,21 + ,25 + ,33 + ,14 + ,11 + ,8 + ,26 + ,18 + ,22 + ,11 + ,13 + ,11 + ,24 + ,21 + ,16 + ,9 + ,12 + ,8 + ,16 + ,26 + ,17 + ,9 + ,11 + ,5 + ,23 + ,23 + ,16 + ,8 + ,9 + ,4 + ,18 + ,23 + ,21 + ,10 + ,12 + ,8 + ,16 + ,22 + ,26 + ,13 + ,20 + ,10 + ,26 + ,20 + ,18 + ,13 + ,12 + ,6 + ,19 + ,13 + ,18 + ,12 + ,13 + ,9 + ,21 + ,24 + ,17 + ,8 + ,12 + ,9 + ,21 + ,15 + ,22 + ,13 + ,12 + ,13 + ,22 + ,14 + ,30 + ,14 + ,9 + ,9 + ,23 + ,22 + ,30 + ,12 + ,15 + ,10 + ,29 + ,10 + ,24 + ,14 + ,24 + ,20 + ,21 + ,24 + ,21 + ,15 + ,7 + ,5 + ,21 + ,22 + ,21 + ,13 + ,17 + ,11 + ,23 + ,24 + ,29 + ,16 + ,11 + ,6 + ,27 + ,19 + ,31 + ,10 + ,17 + ,9 + ,25 + ,20 + ,20 + ,9 + ,11 + ,7 + ,21 + ,13 + ,16 + ,9 + ,12 + ,9 + ,10 + ,20 + ,22 + ,8 + ,14 + ,10 + ,20 + ,22 + ,20 + ,7 + ,11 + ,9 + ,26 + ,24 + ,28 + ,16 + ,16 + ,8 + ,24 + ,29 + ,38 + ,11 + ,21 + ,7 + ,29 + ,12 + ,22 + ,9 + ,14 + ,6 + ,19 + ,20 + ,20 + ,11 + ,20 + ,13 + ,24 + ,21 + ,17 + ,9 + ,13 + ,6 + ,19 + ,24 + ,28 + ,14 + ,11 + ,8 + ,24 + ,22 + ,22 + ,13 + ,15 + ,10 + ,22 + ,20 + ,31 + ,16 + ,19 + ,16 + ,17) + ,dim=c(6 + ,159) + ,dimnames=list(c('Variable' + ,'Parameter' + ,'S.D.' + ,'T-Stat' + ,'2-tail' + ,'1-tail') + ,1:159)) > y <- array(NA,dim=c(6,159),dimnames=list(c('Variable','Parameter','S.D.','T-Stat','2-tail','1-tail'),1:159)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from package:base : 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 Variable Parameter S.D. T-Stat 2-tail 1-tail 1 26 24 14 11 12 24 2 23 25 11 7 8 25 3 25 17 6 17 8 30 4 23 18 12 10 8 19 5 19 18 8 12 9 22 6 29 16 10 12 7 22 7 25 20 10 11 4 25 8 21 16 11 11 11 23 9 22 18 16 12 7 17 10 25 17 11 13 7 21 11 24 23 13 14 12 19 12 18 30 12 16 10 19 13 22 23 8 11 10 15 14 15 18 12 10 8 16 15 22 15 11 11 8 23 16 28 12 4 15 4 27 17 20 21 9 9 9 22 18 12 15 8 11 8 14 19 24 20 8 17 7 22 20 20 31 14 17 11 23 21 21 27 15 11 9 23 22 20 34 16 18 11 21 23 21 21 9 14 13 19 24 23 31 14 10 8 18 25 28 19 11 11 8 20 26 24 16 8 15 9 23 27 24 20 9 15 6 25 28 24 21 9 13 9 19 29 23 22 9 16 9 24 30 23 17 9 13 6 22 31 29 24 10 9 6 25 32 24 25 16 18 16 26 33 18 26 11 18 5 29 34 25 25 8 12 7 32 35 21 17 9 17 9 25 36 26 32 16 9 6 29 37 22 33 11 9 6 28 38 22 13 16 12 5 17 39 22 32 12 18 12 28 40 23 25 12 12 7 29 41 30 29 14 18 10 26 42 23 22 9 14 9 25 43 17 18 10 15 8 14 44 23 17 9 16 5 25 45 23 20 10 10 8 26 46 25 15 12 11 8 20 47 24 20 14 14 10 18 48 24 33 14 9 6 32 49 23 29 10 12 8 25 50 21 23 14 17 7 25 51 24 26 16 5 4 23 52 24 18 9 12 8 21 53 28 20 10 12 8 20 54 16 11 6 6 4 15 55 20 28 8 24 20 30 56 29 26 13 12 8 24 57 27 22 10 12 8 26 58 22 17 8 14 6 24 59 28 12 7 7 4 22 60 16 14 15 13 8 14 61 25 17 9 12 9 24 62 24 21 10 13 6 24 63 28 19 12 14 7 24 64 24 18 13 8 9 24 65 23 10 10 11 5 19 66 30 29 11 9 5 31 67 24 31 8 11 8 22 68 21 19 9 13 8 27 69 25 9 13 10 6 19 70 25 20 11 11 8 25 71 22 28 8 12 7 20 72 23 19 9 9 7 21 73 26 30 9 15 9 27 74 23 29 15 18 11 23 75 25 26 9 15 6 25 76 21 23 10 12 8 20 77 25 13 14 13 6 21 78 24 21 12 14 9 22 79 29 19 12 10 8 23 80 22 28 11 13 6 25 81 27 23 14 13 10 25 82 26 18 6 11 8 17 83 22 21 12 13 8 19 84 24 20 8 16 10 25 85 27 23 14 8 5 19 86 24 21 11 16 7 20 87 24 21 10 11 5 26 88 29 15 14 9 8 23 89 22 28 12 16 14 27 90 21 19 10 12 7 17 91 24 26 14 14 8 17 92 24 10 5 8 6 19 93 23 16 11 9 5 17 94 20 22 10 15 6 22 95 27 19 9 11 10 21 96 26 31 10 21 12 32 97 25 31 16 14 9 21 98 21 29 13 18 12 21 99 21 19 9 12 7 18 100 19 22 10 13 8 18 101 21 23 10 15 10 23 102 21 15 7 12 6 19 103 16 20 9 19 10 20 104 22 18 8 15 10 21 105 29 23 14 11 10 20 106 15 25 14 11 5 17 107 17 21 8 10 7 18 108 15 24 9 13 10 19 109 21 25 14 15 11 22 110 21 17 14 12 6 15 111 19 13 8 12 7 14 112 24 28 8 16 12 18 113 20 21 8 9 11 24 114 17 25 7 18 11 35 115 23 9 6 8 11 29 116 24 16 8 13 5 21 117 14 19 6 17 8 25 118 19 17 11 9 6 20 119 24 25 14 15 9 22 120 13 20 11 8 4 13 121 22 29 11 7 4 26 122 16 14 11 12 7 17 123 19 22 14 14 11 25 124 25 15 8 6 6 20 125 25 19 20 8 7 19 126 23 20 11 17 8 21 127 24 15 8 10 4 22 128 26 20 11 11 8 24 129 26 18 10 14 9 21 130 25 33 14 11 8 26 131 18 22 11 13 11 24 132 21 16 9 12 8 16 133 26 17 9 11 5 23 134 23 16 8 9 4 18 135 23 21 10 12 8 16 136 22 26 13 20 10 26 137 20 18 13 12 6 19 138 13 18 12 13 9 21 139 24 17 8 12 9 21 140 15 22 13 12 13 22 141 14 30 14 9 9 23 142 22 30 12 15 10 29 143 10 24 14 24 20 21 144 24 21 15 7 5 21 145 22 21 13 17 11 23 146 24 29 16 11 6 27 147 19 31 10 17 9 25 148 20 20 9 11 7 21 149 13 16 9 12 9 10 150 20 22 8 14 10 20 151 22 20 7 11 9 26 152 24 28 16 16 8 24 153 29 38 11 21 7 29 154 12 22 9 14 6 19 155 20 20 11 20 13 24 156 21 17 9 13 6 19 157 24 28 14 11 8 24 158 22 22 13 15 10 22 159 20 31 16 19 16 17 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Parameter S.D. `T-Stat` `2-tail` `1-tail` 16.16348 -0.07051 0.21596 -0.14974 -0.25441 0.42249 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -9.151 -1.732 0.268 2.226 7.176 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 16.16348 2.00169 8.075 1.87e-13 *** Parameter -0.07051 0.06307 -1.118 0.2653 S.D. 0.21596 0.11300 1.911 0.0578 . `T-Stat` -0.14974 0.10427 -1.436 0.1530 `2-tail` -0.25441 0.13043 -1.951 0.0529 . `1-tail` 0.42249 0.07566 5.584 1.05e-07 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 3.5 on 153 degrees of freedom Multiple R-squared: 0.2219, Adjusted R-squared: 0.1964 F-statistic: 8.725 on 5 and 153 DF, p-value: 2.667e-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,] 0.725054620 0.549890761 0.2749454 [2,] 0.598321152 0.803357697 0.4016788 [3,] 0.488975852 0.977951703 0.5110241 [4,] 0.444478151 0.888956301 0.5555218 [5,] 0.452507565 0.905015131 0.5474924 [6,] 0.692944456 0.614111088 0.3070555 [7,] 0.624361546 0.751276909 0.3756385 [8,] 0.572340257 0.855319487 0.4276597 [9,] 0.506313500 0.987372999 0.4936865 [10,] 0.636441550 0.727116901 0.3635585 [11,] 0.561381672 0.877236656 0.4386183 [12,] 0.566462605 0.867074791 0.4335374 [13,] 0.518595053 0.962809894 0.4814049 [14,] 0.449441537 0.898883073 0.5505585 [15,] 0.390420051 0.780840103 0.6095799 [16,] 0.391051796 0.782103592 0.6089482 [17,] 0.534775206 0.930449589 0.4652248 [18,] 0.472150175 0.944300350 0.5278498 [19,] 0.408598229 0.817196457 0.5914018 [20,] 0.401847031 0.803694062 0.5981530 [21,] 0.340959710 0.681919419 0.6590403 [22,] 0.284307129 0.568614257 0.7156929 [23,] 0.308442850 0.616885699 0.6915572 [24,] 0.259940453 0.519880906 0.7400595 [25,] 0.484013787 0.968027574 0.5159862 [26,] 0.437627660 0.875255320 0.5623723 [27,] 0.402858138 0.805716276 0.5971419 [28,] 0.347214243 0.694428485 0.6527858 [29,] 0.324586176 0.649172351 0.6754138 [30,] 0.275314517 0.550629033 0.7246855 [31,] 0.230568769 0.461137538 0.7694312 [32,] 0.207289923 0.414579847 0.7927101 [33,] 0.358628734 0.717257468 0.6413713 [34,] 0.308567713 0.617135425 0.6914323 [35,] 0.276851864 0.553703729 0.7231481 [36,] 0.235041754 0.470083509 0.7649582 [37,] 0.202514049 0.405028098 0.7974860 [38,] 0.181691106 0.363382211 0.8183089 [39,] 0.169455912 0.338911824 0.8305441 [40,] 0.156496159 0.312992318 0.8435038 [41,] 0.127516697 0.255033394 0.8724833 [42,] 0.118033713 0.236067426 0.8819663 [43,] 0.097268725 0.194537449 0.9027313 [44,] 0.082293743 0.164587485 0.9177063 [45,] 0.137984838 0.275969677 0.8620152 [46,] 0.169490496 0.338980992 0.8305095 [47,] 0.161723148 0.323446295 0.8382769 [48,] 0.216949606 0.433899211 0.7830504 [49,] 0.207883830 0.415767660 0.7921162 [50,] 0.178223051 0.356446101 0.8217769 [51,] 0.188570918 0.377141836 0.8114291 [52,] 0.216660537 0.433321074 0.7833395 [53,] 0.190681473 0.381362947 0.8093185 [54,] 0.159950577 0.319901154 0.8400494 [55,] 0.174689230 0.349378460 0.8253108 [56,] 0.147164667 0.294329335 0.8528353 [57,] 0.121297065 0.242594131 0.8787029 [58,] 0.117576965 0.235153929 0.8824230 [59,] 0.107404081 0.214808162 0.8925959 [60,] 0.107636960 0.215273919 0.8923630 [61,] 0.091358325 0.182716650 0.9086417 [62,] 0.074493248 0.148986496 0.9255068 [63,] 0.060534898 0.121069796 0.9394651 [64,] 0.047799670 0.095599340 0.9522003 [65,] 0.044913726 0.089827453 0.9550863 [66,] 0.036026181 0.072052361 0.9639738 [67,] 0.030004954 0.060009907 0.9699950 [68,] 0.023041442 0.046082884 0.9769586 [69,] 0.018091398 0.036182796 0.9819086 [70,] 0.014485599 0.028971197 0.9855144 [71,] 0.021731879 0.043463758 0.9782681 [72,] 0.017338675 0.034677350 0.9826613 [73,] 0.016979064 0.033958128 0.9830209 [74,] 0.030488849 0.060977698 0.9695112 [75,] 0.023533425 0.047066850 0.9764666 [76,] 0.019662236 0.039324472 0.9803378 [77,] 0.021640658 0.043281316 0.9783593 [78,] 0.019253005 0.038506011 0.9807470 [79,] 0.014666251 0.029332502 0.9853337 [80,] 0.019233951 0.038467902 0.9807660 [81,] 0.015169624 0.030339249 0.9848304 [82,] 0.011373222 0.022746443 0.9886268 [83,] 0.011502186 0.023004371 0.9884978 [84,] 0.010064054 0.020128107 0.9899359 [85,] 0.007739522 0.015479044 0.9922605 [86,] 0.006416189 0.012832378 0.9935838 [87,] 0.011804411 0.023608823 0.9881956 [88,] 0.010745172 0.021490345 0.9892548 [89,] 0.010282772 0.020565544 0.9897172 [90,] 0.007902055 0.015804109 0.9920979 [91,] 0.005851696 0.011703391 0.9941483 [92,] 0.004498390 0.008996780 0.9955016 [93,] 0.003338836 0.006677672 0.9966612 [94,] 0.002385972 0.004771944 0.9976140 [95,] 0.002564316 0.005128632 0.9974357 [96,] 0.002018108 0.004036215 0.9979819 [97,] 0.008616270 0.017232540 0.9913837 [98,] 0.019316970 0.038633941 0.9806830 [99,] 0.019267220 0.038534440 0.9807328 [100,] 0.024395623 0.048791247 0.9756044 [101,] 0.018938821 0.037877642 0.9810612 [102,] 0.013924237 0.027848475 0.9860758 [103,] 0.010145940 0.020291880 0.9898541 [104,] 0.024832399 0.049664799 0.9751676 [105,] 0.022646378 0.045292757 0.9773536 [106,] 0.062671638 0.125343277 0.9373284 [107,] 0.053689923 0.107379847 0.9463101 [108,] 0.043825172 0.087650343 0.9561748 [109,] 0.127712254 0.255424509 0.8722877 [110,] 0.123183620 0.246367239 0.8768164 [111,] 0.110163603 0.220327206 0.8898364 [112,] 0.190173466 0.380346933 0.8098265 [113,] 0.182394483 0.364788967 0.8176055 [114,] 0.216779914 0.433559828 0.7832201 [115,] 0.210359256 0.420718513 0.7896407 [116,] 0.209304464 0.418608928 0.7906955 [117,] 0.193261851 0.386523701 0.8067381 [118,] 0.159394279 0.318788558 0.8406057 [119,] 0.126401762 0.252803523 0.8735982 [120,] 0.130910825 0.261821650 0.8690892 [121,] 0.185787054 0.371574108 0.8142129 [122,] 0.161991675 0.323983349 0.8380083 [123,] 0.143573171 0.287146342 0.8564268 [124,] 0.125769870 0.251539740 0.8742301 [125,] 0.116506942 0.233013884 0.8834931 [126,] 0.096492568 0.192985136 0.9035074 [127,] 0.130346055 0.260692109 0.8696539 [128,] 0.098735816 0.197471631 0.9012642 [129,] 0.073728387 0.147456773 0.9262716 [130,] 0.180287177 0.360574353 0.8197128 [131,] 0.250321999 0.500643997 0.7496780 [132,] 0.231691330 0.463382660 0.7683087 [133,] 0.470624131 0.941248262 0.5293759 [134,] 0.422400847 0.844801694 0.5775992 [135,] 0.728533458 0.542933083 0.2714665 [136,] 0.679249493 0.641501014 0.3207505 [137,] 0.579343024 0.841313952 0.4206570 [138,] 0.508302393 0.983395215 0.4916976 [139,] 0.558406818 0.883186363 0.4415932 [140,] 0.431110511 0.862221022 0.5688895 [141,] 0.338206148 0.676412296 0.6617939 [142,] 0.242095892 0.484191785 0.7579041 > postscript(file="/var/www/html/freestat/rcomp/tmp/1iahw1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/2bjyh1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/3bjyh1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/4bjyh1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/54afk1290537184.ps",horizontal=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 = 159 Frequency = 1 1 2 3 4 5 6 3.065700914 -1.255005586 0.645684928 1.019614177 -2.830115404 6.088120895 7 8 9 10 11 12 0.189723852 -1.682425132 0.045821274 2.514900796 3.772816268 -1.726988791 13 14 15 16 17 18 3.584524553 -5.712921078 -1.516168652 3.675390786 -2.283768451 -7.065893453 19 20 21 22 23 24 2.550790875 -1.374199457 -2.279472549 -0.599870564 1.750047484 1.926818709 25 26 27 28 29 30 6.033338224 2.055599605 0.513471930 3.582662059 0.989955673 0.269922195 31 32 33 34 35 36 4.681105093 1.925148379 -6.990525182 -1.070246151 -1.635343798 -0.740525566 37 38 39 40 41 42 -3.167725178 -0.815553381 -0.580057086 -2.666622691 7.112645177 0.267984542 43 44 45 46 47 48 -1.687316733 -0.802729223 -1.364861853 2.535335771 3.258990605 -3.505559136 49 50 51 52 53 54 -0.008295928 -2.800904200 -1.736447029 2.122001527 6.469550519 -5.104854379 55 56 57 58 59 60 0.090502186 5.554779758 3.075642094 -1.209352540 3.942019535 -4.348643353 61 62 63 64 65 66 2.038437245 0.491027508 4.322238236 -0.353859273 0.273959011 3.028356949 67 68 69 70 71 72 2.682369085 -3.192675990 1.660237069 0.991407515 1.211144428 0.488876740 73 74 75 76 77 78 3.136833749 1.418560597 1.936535127 -0.318917883 1.330566705 1.817057791 79 80 81 82 83 84 5.400171716 -1.653847333 3.363363023 6.310094043 0.680370099 1.896817677 85 86 87 88 89 90 3.877530328 2.668655499 -0.907842867 4.536467501 -0.230271860 0.412093735 91 92 93 94 95 96 3.595720058 2.158947290 1.026555500 -2.294002581 5.551592610 2.540624353 97 98 99 100 101 102 3.080810081 0.949868732 0.205565808 -1.394710477 -0.628336312 -0.321454924 103 104 105 106 107 108 -3.757477080 1.296008163 7.176321383 -6.687247786 -3.736935687 -4.951395347 109 110 111 112 113 114 -0.674257288 -0.002203115 -0.311584073 5.927141669 -2.403962634 -8.205657944 115 116 117 118 119 120 -2.080351068 1.583449236 -8.100852764 -3.915987716 1.816920720 -7.405601812 121 122 123 124 125 126 -3.413095687 -5.156419250 -4.302995072 2.141647859 0.808548260 1.579809155 127 128 129 130 131 132 0.386815135 2.413895763 4.459935083 0.837675228 -4.382367301 1.093421703 133 134 135 136 137 138 2.293540068 0.997537220 3.230014045 -0.583443218 -2.405685254 -9.121727000 139 140 141 142 143 144 2.521862311 -6.610230896 -9.151463511 -2.101612716 -7.684907638 -0.474168997 145 146 147 148 149 150 0.136655536 -1.807597786 -2.864156660 -2.141129845 -4.117237811 -0.149202898 151 152 153 154 155 156 -1.312828452 0.646885624 5.813647527 -8.960318955 -0.966376287 -0.462613060 157 158 159 0.330099061 0.075760439 2.300347252 > postscript(file="/var/www/html/freestat/rcomp/tmp/64afk1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 159 Frequency = 1 lag(myerror, k = 1) myerror 0 3.065700914 NA 1 -1.255005586 3.065700914 2 0.645684928 -1.255005586 3 1.019614177 0.645684928 4 -2.830115404 1.019614177 5 6.088120895 -2.830115404 6 0.189723852 6.088120895 7 -1.682425132 0.189723852 8 0.045821274 -1.682425132 9 2.514900796 0.045821274 10 3.772816268 2.514900796 11 -1.726988791 3.772816268 12 3.584524553 -1.726988791 13 -5.712921078 3.584524553 14 -1.516168652 -5.712921078 15 3.675390786 -1.516168652 16 -2.283768451 3.675390786 17 -7.065893453 -2.283768451 18 2.550790875 -7.065893453 19 -1.374199457 2.550790875 20 -2.279472549 -1.374199457 21 -0.599870564 -2.279472549 22 1.750047484 -0.599870564 23 1.926818709 1.750047484 24 6.033338224 1.926818709 25 2.055599605 6.033338224 26 0.513471930 2.055599605 27 3.582662059 0.513471930 28 0.989955673 3.582662059 29 0.269922195 0.989955673 30 4.681105093 0.269922195 31 1.925148379 4.681105093 32 -6.990525182 1.925148379 33 -1.070246151 -6.990525182 34 -1.635343798 -1.070246151 35 -0.740525566 -1.635343798 36 -3.167725178 -0.740525566 37 -0.815553381 -3.167725178 38 -0.580057086 -0.815553381 39 -2.666622691 -0.580057086 40 7.112645177 -2.666622691 41 0.267984542 7.112645177 42 -1.687316733 0.267984542 43 -0.802729223 -1.687316733 44 -1.364861853 -0.802729223 45 2.535335771 -1.364861853 46 3.258990605 2.535335771 47 -3.505559136 3.258990605 48 -0.008295928 -3.505559136 49 -2.800904200 -0.008295928 50 -1.736447029 -2.800904200 51 2.122001527 -1.736447029 52 6.469550519 2.122001527 53 -5.104854379 6.469550519 54 0.090502186 -5.104854379 55 5.554779758 0.090502186 56 3.075642094 5.554779758 57 -1.209352540 3.075642094 58 3.942019535 -1.209352540 59 -4.348643353 3.942019535 60 2.038437245 -4.348643353 61 0.491027508 2.038437245 62 4.322238236 0.491027508 63 -0.353859273 4.322238236 64 0.273959011 -0.353859273 65 3.028356949 0.273959011 66 2.682369085 3.028356949 67 -3.192675990 2.682369085 68 1.660237069 -3.192675990 69 0.991407515 1.660237069 70 1.211144428 0.991407515 71 0.488876740 1.211144428 72 3.136833749 0.488876740 73 1.418560597 3.136833749 74 1.936535127 1.418560597 75 -0.318917883 1.936535127 76 1.330566705 -0.318917883 77 1.817057791 1.330566705 78 5.400171716 1.817057791 79 -1.653847333 5.400171716 80 3.363363023 -1.653847333 81 6.310094043 3.363363023 82 0.680370099 6.310094043 83 1.896817677 0.680370099 84 3.877530328 1.896817677 85 2.668655499 3.877530328 86 -0.907842867 2.668655499 87 4.536467501 -0.907842867 88 -0.230271860 4.536467501 89 0.412093735 -0.230271860 90 3.595720058 0.412093735 91 2.158947290 3.595720058 92 1.026555500 2.158947290 93 -2.294002581 1.026555500 94 5.551592610 -2.294002581 95 2.540624353 5.551592610 96 3.080810081 2.540624353 97 0.949868732 3.080810081 98 0.205565808 0.949868732 99 -1.394710477 0.205565808 100 -0.628336312 -1.394710477 101 -0.321454924 -0.628336312 102 -3.757477080 -0.321454924 103 1.296008163 -3.757477080 104 7.176321383 1.296008163 105 -6.687247786 7.176321383 106 -3.736935687 -6.687247786 107 -4.951395347 -3.736935687 108 -0.674257288 -4.951395347 109 -0.002203115 -0.674257288 110 -0.311584073 -0.002203115 111 5.927141669 -0.311584073 112 -2.403962634 5.927141669 113 -8.205657944 -2.403962634 114 -2.080351068 -8.205657944 115 1.583449236 -2.080351068 116 -8.100852764 1.583449236 117 -3.915987716 -8.100852764 118 1.816920720 -3.915987716 119 -7.405601812 1.816920720 120 -3.413095687 -7.405601812 121 -5.156419250 -3.413095687 122 -4.302995072 -5.156419250 123 2.141647859 -4.302995072 124 0.808548260 2.141647859 125 1.579809155 0.808548260 126 0.386815135 1.579809155 127 2.413895763 0.386815135 128 4.459935083 2.413895763 129 0.837675228 4.459935083 130 -4.382367301 0.837675228 131 1.093421703 -4.382367301 132 2.293540068 1.093421703 133 0.997537220 2.293540068 134 3.230014045 0.997537220 135 -0.583443218 3.230014045 136 -2.405685254 -0.583443218 137 -9.121727000 -2.405685254 138 2.521862311 -9.121727000 139 -6.610230896 2.521862311 140 -9.151463511 -6.610230896 141 -2.101612716 -9.151463511 142 -7.684907638 -2.101612716 143 -0.474168997 -7.684907638 144 0.136655536 -0.474168997 145 -1.807597786 0.136655536 146 -2.864156660 -1.807597786 147 -2.141129845 -2.864156660 148 -4.117237811 -2.141129845 149 -0.149202898 -4.117237811 150 -1.312828452 -0.149202898 151 0.646885624 -1.312828452 152 5.813647527 0.646885624 153 -8.960318955 5.813647527 154 -0.966376287 -8.960318955 155 -0.462613060 -0.966376287 156 0.330099061 -0.462613060 157 0.075760439 0.330099061 158 2.300347252 0.075760439 159 NA 2.300347252 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -1.255005586 3.065700914 [2,] 0.645684928 -1.255005586 [3,] 1.019614177 0.645684928 [4,] -2.830115404 1.019614177 [5,] 6.088120895 -2.830115404 [6,] 0.189723852 6.088120895 [7,] -1.682425132 0.189723852 [8,] 0.045821274 -1.682425132 [9,] 2.514900796 0.045821274 [10,] 3.772816268 2.514900796 [11,] -1.726988791 3.772816268 [12,] 3.584524553 -1.726988791 [13,] -5.712921078 3.584524553 [14,] -1.516168652 -5.712921078 [15,] 3.675390786 -1.516168652 [16,] -2.283768451 3.675390786 [17,] -7.065893453 -2.283768451 [18,] 2.550790875 -7.065893453 [19,] -1.374199457 2.550790875 [20,] -2.279472549 -1.374199457 [21,] -0.599870564 -2.279472549 [22,] 1.750047484 -0.599870564 [23,] 1.926818709 1.750047484 [24,] 6.033338224 1.926818709 [25,] 2.055599605 6.033338224 [26,] 0.513471930 2.055599605 [27,] 3.582662059 0.513471930 [28,] 0.989955673 3.582662059 [29,] 0.269922195 0.989955673 [30,] 4.681105093 0.269922195 [31,] 1.925148379 4.681105093 [32,] -6.990525182 1.925148379 [33,] -1.070246151 -6.990525182 [34,] -1.635343798 -1.070246151 [35,] -0.740525566 -1.635343798 [36,] -3.167725178 -0.740525566 [37,] -0.815553381 -3.167725178 [38,] -0.580057086 -0.815553381 [39,] -2.666622691 -0.580057086 [40,] 7.112645177 -2.666622691 [41,] 0.267984542 7.112645177 [42,] -1.687316733 0.267984542 [43,] -0.802729223 -1.687316733 [44,] -1.364861853 -0.802729223 [45,] 2.535335771 -1.364861853 [46,] 3.258990605 2.535335771 [47,] -3.505559136 3.258990605 [48,] -0.008295928 -3.505559136 [49,] -2.800904200 -0.008295928 [50,] -1.736447029 -2.800904200 [51,] 2.122001527 -1.736447029 [52,] 6.469550519 2.122001527 [53,] -5.104854379 6.469550519 [54,] 0.090502186 -5.104854379 [55,] 5.554779758 0.090502186 [56,] 3.075642094 5.554779758 [57,] -1.209352540 3.075642094 [58,] 3.942019535 -1.209352540 [59,] -4.348643353 3.942019535 [60,] 2.038437245 -4.348643353 [61,] 0.491027508 2.038437245 [62,] 4.322238236 0.491027508 [63,] -0.353859273 4.322238236 [64,] 0.273959011 -0.353859273 [65,] 3.028356949 0.273959011 [66,] 2.682369085 3.028356949 [67,] -3.192675990 2.682369085 [68,] 1.660237069 -3.192675990 [69,] 0.991407515 1.660237069 [70,] 1.211144428 0.991407515 [71,] 0.488876740 1.211144428 [72,] 3.136833749 0.488876740 [73,] 1.418560597 3.136833749 [74,] 1.936535127 1.418560597 [75,] -0.318917883 1.936535127 [76,] 1.330566705 -0.318917883 [77,] 1.817057791 1.330566705 [78,] 5.400171716 1.817057791 [79,] -1.653847333 5.400171716 [80,] 3.363363023 -1.653847333 [81,] 6.310094043 3.363363023 [82,] 0.680370099 6.310094043 [83,] 1.896817677 0.680370099 [84,] 3.877530328 1.896817677 [85,] 2.668655499 3.877530328 [86,] -0.907842867 2.668655499 [87,] 4.536467501 -0.907842867 [88,] -0.230271860 4.536467501 [89,] 0.412093735 -0.230271860 [90,] 3.595720058 0.412093735 [91,] 2.158947290 3.595720058 [92,] 1.026555500 2.158947290 [93,] -2.294002581 1.026555500 [94,] 5.551592610 -2.294002581 [95,] 2.540624353 5.551592610 [96,] 3.080810081 2.540624353 [97,] 0.949868732 3.080810081 [98,] 0.205565808 0.949868732 [99,] -1.394710477 0.205565808 [100,] -0.628336312 -1.394710477 [101,] -0.321454924 -0.628336312 [102,] -3.757477080 -0.321454924 [103,] 1.296008163 -3.757477080 [104,] 7.176321383 1.296008163 [105,] -6.687247786 7.176321383 [106,] -3.736935687 -6.687247786 [107,] -4.951395347 -3.736935687 [108,] -0.674257288 -4.951395347 [109,] -0.002203115 -0.674257288 [110,] -0.311584073 -0.002203115 [111,] 5.927141669 -0.311584073 [112,] -2.403962634 5.927141669 [113,] -8.205657944 -2.403962634 [114,] -2.080351068 -8.205657944 [115,] 1.583449236 -2.080351068 [116,] -8.100852764 1.583449236 [117,] -3.915987716 -8.100852764 [118,] 1.816920720 -3.915987716 [119,] -7.405601812 1.816920720 [120,] -3.413095687 -7.405601812 [121,] -5.156419250 -3.413095687 [122,] -4.302995072 -5.156419250 [123,] 2.141647859 -4.302995072 [124,] 0.808548260 2.141647859 [125,] 1.579809155 0.808548260 [126,] 0.386815135 1.579809155 [127,] 2.413895763 0.386815135 [128,] 4.459935083 2.413895763 [129,] 0.837675228 4.459935083 [130,] -4.382367301 0.837675228 [131,] 1.093421703 -4.382367301 [132,] 2.293540068 1.093421703 [133,] 0.997537220 2.293540068 [134,] 3.230014045 0.997537220 [135,] -0.583443218 3.230014045 [136,] -2.405685254 -0.583443218 [137,] -9.121727000 -2.405685254 [138,] 2.521862311 -9.121727000 [139,] -6.610230896 2.521862311 [140,] -9.151463511 -6.610230896 [141,] -2.101612716 -9.151463511 [142,] -7.684907638 -2.101612716 [143,] -0.474168997 -7.684907638 [144,] 0.136655536 -0.474168997 [145,] -1.807597786 0.136655536 [146,] -2.864156660 -1.807597786 [147,] -2.141129845 -2.864156660 [148,] -4.117237811 -2.141129845 [149,] -0.149202898 -4.117237811 [150,] -1.312828452 -0.149202898 [151,] 0.646885624 -1.312828452 [152,] 5.813647527 0.646885624 [153,] -8.960318955 5.813647527 [154,] -0.966376287 -8.960318955 [155,] -0.462613060 -0.966376287 [156,] 0.330099061 -0.462613060 [157,] 0.075760439 0.330099061 [158,] 2.300347252 0.075760439 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -1.255005586 3.065700914 2 0.645684928 -1.255005586 3 1.019614177 0.645684928 4 -2.830115404 1.019614177 5 6.088120895 -2.830115404 6 0.189723852 6.088120895 7 -1.682425132 0.189723852 8 0.045821274 -1.682425132 9 2.514900796 0.045821274 10 3.772816268 2.514900796 11 -1.726988791 3.772816268 12 3.584524553 -1.726988791 13 -5.712921078 3.584524553 14 -1.516168652 -5.712921078 15 3.675390786 -1.516168652 16 -2.283768451 3.675390786 17 -7.065893453 -2.283768451 18 2.550790875 -7.065893453 19 -1.374199457 2.550790875 20 -2.279472549 -1.374199457 21 -0.599870564 -2.279472549 22 1.750047484 -0.599870564 23 1.926818709 1.750047484 24 6.033338224 1.926818709 25 2.055599605 6.033338224 26 0.513471930 2.055599605 27 3.582662059 0.513471930 28 0.989955673 3.582662059 29 0.269922195 0.989955673 30 4.681105093 0.269922195 31 1.925148379 4.681105093 32 -6.990525182 1.925148379 33 -1.070246151 -6.990525182 34 -1.635343798 -1.070246151 35 -0.740525566 -1.635343798 36 -3.167725178 -0.740525566 37 -0.815553381 -3.167725178 38 -0.580057086 -0.815553381 39 -2.666622691 -0.580057086 40 7.112645177 -2.666622691 41 0.267984542 7.112645177 42 -1.687316733 0.267984542 43 -0.802729223 -1.687316733 44 -1.364861853 -0.802729223 45 2.535335771 -1.364861853 46 3.258990605 2.535335771 47 -3.505559136 3.258990605 48 -0.008295928 -3.505559136 49 -2.800904200 -0.008295928 50 -1.736447029 -2.800904200 51 2.122001527 -1.736447029 52 6.469550519 2.122001527 53 -5.104854379 6.469550519 54 0.090502186 -5.104854379 55 5.554779758 0.090502186 56 3.075642094 5.554779758 57 -1.209352540 3.075642094 58 3.942019535 -1.209352540 59 -4.348643353 3.942019535 60 2.038437245 -4.348643353 61 0.491027508 2.038437245 62 4.322238236 0.491027508 63 -0.353859273 4.322238236 64 0.273959011 -0.353859273 65 3.028356949 0.273959011 66 2.682369085 3.028356949 67 -3.192675990 2.682369085 68 1.660237069 -3.192675990 69 0.991407515 1.660237069 70 1.211144428 0.991407515 71 0.488876740 1.211144428 72 3.136833749 0.488876740 73 1.418560597 3.136833749 74 1.936535127 1.418560597 75 -0.318917883 1.936535127 76 1.330566705 -0.318917883 77 1.817057791 1.330566705 78 5.400171716 1.817057791 79 -1.653847333 5.400171716 80 3.363363023 -1.653847333 81 6.310094043 3.363363023 82 0.680370099 6.310094043 83 1.896817677 0.680370099 84 3.877530328 1.896817677 85 2.668655499 3.877530328 86 -0.907842867 2.668655499 87 4.536467501 -0.907842867 88 -0.230271860 4.536467501 89 0.412093735 -0.230271860 90 3.595720058 0.412093735 91 2.158947290 3.595720058 92 1.026555500 2.158947290 93 -2.294002581 1.026555500 94 5.551592610 -2.294002581 95 2.540624353 5.551592610 96 3.080810081 2.540624353 97 0.949868732 3.080810081 98 0.205565808 0.949868732 99 -1.394710477 0.205565808 100 -0.628336312 -1.394710477 101 -0.321454924 -0.628336312 102 -3.757477080 -0.321454924 103 1.296008163 -3.757477080 104 7.176321383 1.296008163 105 -6.687247786 7.176321383 106 -3.736935687 -6.687247786 107 -4.951395347 -3.736935687 108 -0.674257288 -4.951395347 109 -0.002203115 -0.674257288 110 -0.311584073 -0.002203115 111 5.927141669 -0.311584073 112 -2.403962634 5.927141669 113 -8.205657944 -2.403962634 114 -2.080351068 -8.205657944 115 1.583449236 -2.080351068 116 -8.100852764 1.583449236 117 -3.915987716 -8.100852764 118 1.816920720 -3.915987716 119 -7.405601812 1.816920720 120 -3.413095687 -7.405601812 121 -5.156419250 -3.413095687 122 -4.302995072 -5.156419250 123 2.141647859 -4.302995072 124 0.808548260 2.141647859 125 1.579809155 0.808548260 126 0.386815135 1.579809155 127 2.413895763 0.386815135 128 4.459935083 2.413895763 129 0.837675228 4.459935083 130 -4.382367301 0.837675228 131 1.093421703 -4.382367301 132 2.293540068 1.093421703 133 0.997537220 2.293540068 134 3.230014045 0.997537220 135 -0.583443218 3.230014045 136 -2.405685254 -0.583443218 137 -9.121727000 -2.405685254 138 2.521862311 -9.121727000 139 -6.610230896 2.521862311 140 -9.151463511 -6.610230896 141 -2.101612716 -9.151463511 142 -7.684907638 -2.101612716 143 -0.474168997 -7.684907638 144 0.136655536 -0.474168997 145 -1.807597786 0.136655536 146 -2.864156660 -1.807597786 147 -2.141129845 -2.864156660 148 -4.117237811 -2.141129845 149 -0.149202898 -4.117237811 150 -1.312828452 -0.149202898 151 0.646885624 -1.312828452 152 5.813647527 0.646885624 153 -8.960318955 5.813647527 154 -0.966376287 -8.960318955 155 -0.462613060 -0.966376287 156 0.330099061 -0.462613060 157 0.075760439 0.330099061 158 2.300347252 0.075760439 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/7eke51290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/8eke51290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/9eke51290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/freestat/rcomp/tmp/107bwq1290537184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/freestat/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/11abue1290537184.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/12wubk1290537184.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/13ld8v1290537184.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/14dm7g1290537184.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/html/freestat/rcomp/tmp/15z55m1290537184.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/html/freestat/rcomp/tmp/16delv1290537184.tab") + } > > try(system("convert tmp/1iahw1290537184.ps tmp/1iahw1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/2bjyh1290537184.ps tmp/2bjyh1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/3bjyh1290537184.ps tmp/3bjyh1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/4bjyh1290537184.ps tmp/4bjyh1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/54afk1290537184.ps tmp/54afk1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/64afk1290537184.ps tmp/64afk1290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/7eke51290537184.ps tmp/7eke51290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/8eke51290537184.ps tmp/8eke51290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/9eke51290537184.ps tmp/9eke51290537184.png",intern=TRUE)) character(0) > try(system("convert tmp/107bwq1290537184.ps tmp/107bwq1290537184.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.914 2.699 19.322