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(1 + ,1 + ,4 + ,4 + ,3 + ,1 + ,21 + ,2 + ,4 + ,1 + ,3 + ,3 + ,1 + ,1 + ,21 + ,1 + ,5 + ,2 + ,2 + ,3 + ,2 + ,1 + ,24 + ,1 + ,2 + ,1 + ,4 + ,5 + ,4 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,4 + ,1 + ,2 + ,21 + ,2 + ,1 + ,1 + ,5 + ,4 + ,2 + ,22 + ,2 + ,2 + ,1 + ,3 + ,5 + ,3 + ,2 + ,22 + ,1 + ,1 + ,1 + ,5 + ,5 + ,1 + ,1 + ,20 + ,2 + ,1 + ,1 + ,3 + ,3 + ,1 + ,1 + ,21 + ,1 + ,1 + ,1 + ,4 + ,4 + ,3 + ,21 + ,2 + ,3 + ,2 + ,5 + ,5 + ,5 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,3 + ,3 + ,1 + ,22 + ,2 + ,1 + ,1 + ,3 + ,4 + ,1 + ,1 + ,22 + ,1 + ,1 + ,1 + ,4 + ,4 + ,2 + ,1 + ,23 + ,2 + ,2 + ,1 + ,4 + ,4 + ,2 + ,1 + ,23 + ,2 + ,4 + ,2 + ,4 + ,4 + ,5 + ,2 + ,21 + ,2 + ,1 + ,1 + ,3 + ,5 + ,2 + ,2 + ,24 + ,1 + ,1 + ,1 + ,5 + ,3 + ,2 + ,1 + ,23 + ,1 + ,1 + ,1 + ,4 + ,5 + ,2 + ,2 + ,21 + ,1 + ,2 + ,1 + ,3 + ,3 + ,2 + ,1 + ,23 + ,1 + ,3 + ,1 + ,3 + ,4 + ,3 + ,2 + ,32 + ,2 + ,1 + ,1 + ,3 + ,4 + ,3 + ,1 + ,21 + ,2 + ,1 + ,2 + ,3 + ,4 + ,3 + ,2 + ,21 + ,1 + ,1 + ,1 + ,4 + ,3 + ,1 + ,2 + ,21 + ,1 + ,1 + ,2 + ,5 + ,5 + ,1 + ,1 + ,21 + ,2 + ,1 + ,1 + ,4 + ,4 + ,4 + ,2 + ,21 + ,2 + ,2 + ,4 + ,5 + ,5 + ,1 + ,1 + ,20 + ,2 + ,1 + ,1 + ,3 + ,2 + ,3 + ,1 + ,24 + ,2 + ,1 + ,1 + ,4 + ,5 + ,2 + ,1 + ,22 + ,2 + ,1 + ,1 + ,2 + ,4 + ,1 + ,2 + ,22 + ,2 + ,1 + ,1 + ,5 + ,5 + ,2 + ,2 + ,21 + ,1 + ,1 + ,1 + ,2 + ,4 + ,1 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,5 + ,2 + ,1 + ,21 + ,2 + ,1 + ,1 + ,3 + ,3 + ,1 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,3 + ,1 + ,1 + ,23 + ,2 + ,1 + ,1 + ,3 + ,4 + ,1 + ,1 + ,23 + ,2 + ,1 + ,1 + ,4 + ,4 + ,1 + ,2 + ,21 + ,2 + ,1 + ,1 + ,3 + ,5 + ,3 + ,1 + ,20 + ,1 + ,1 + ,1 + ,5 + ,5 + ,3 + ,2 + ,21 + ,2 + ,1 + ,1 + ,2 + ,3 + ,1 + ,1 + ,20 + ,1 + ,1 + ,1 + ,3 + ,5 + ,3 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,5 + ,1 + ,1 + ,22 + ,2 + ,4 + ,1 + ,4 + ,4 + ,2 + ,2 + ,21 + ,1 + ,1 + ,1 + ,5 + ,5 + ,3 + ,1 + ,22 + ,2 + ,1 + ,1 + ,3 + ,3 + ,2 + ,1 + ,22 + ,2 + ,4 + ,3 + ,3 + ,4 + ,1 + ,2 + ,22 + ,1 + ,2 + ,2 + ,3 + ,5 + ,1 + ,1 + ,22 + ,1 + ,2 + ,1 + ,3 + ,3 + ,1 + ,1 + ,21 + ,2 + ,1 + ,1 + ,3 + ,5 + ,1 + ,1 + ,21 + ,2 + ,1 + ,1 + ,3 + ,4 + ,1 + ,2 + ,21 + ,1 + ,2 + ,2 + ,3 + ,3 + ,3 + ,1 + ,23 + ,2 + ,1 + ,1 + ,4 + ,5 + ,2 + ,2 + ,23 + ,2 + ,1 + ,1 + ,3 + ,4 + ,2 + ,2 + ,23 + ,1 + ,1 + ,1 + ,2 + ,5 + ,2 + ,1 + ,22 + ,1 + ,1 + ,1 + ,3 + ,3 + ,4 + ,1 + ,24 + ,2 + ,1 + ,1 + ,3 + ,5 + ,3 + ,1 + ,23 + ,2 + ,1 + ,1 + ,3 + ,4 + ,3 + ,2 + ,21 + ,2 + ,2 + ,1 + ,4 + ,5 + ,3 + ,1 + ,22 + ,1 + ,1 + ,1 + ,2 + ,4 + ,1 + ,2 + ,22 + ,1 + ,1 + ,1 + ,5 + ,5 + ,3 + ,2 + ,21 + ,1 + ,1 + ,1 + ,4 + ,5 + ,1 + ,1 + ,21 + ,1 + ,2 + ,2 + ,2 + ,5 + ,1 + ,1 + ,21 + ,1 + ,1 + ,1 + ,2 + ,4 + ,1 + ,2 + ,21 + ,1 + ,2 + ,1 + ,3 + ,5 + ,1 + ,1 + ,20 + ,2 + ,4 + ,1 + ,4 + ,4 + ,3 + ,2 + ,22 + ,2 + ,1 + ,1 + ,5 + ,5 + ,3 + ,2 + ,22 + ,2 + ,1 + ,1 + ,3 + ,4 + ,1 + ,1 + ,22 + ,2 + ,1 + ,1 + ,3 + ,3 + ,1 + ,1 + ,22 + ,1 + ,2 + ,1 + ,4 + ,4 + ,2 + ,1 + ,21 + ,2 + ,3 + ,2 + ,3 + ,3 + ,2 + ,1 + ,23 + ,2 + ,1 + ,1 + ,4 + ,5 + ,1 + ,2 + ,21 + ,1 + ,1 + ,1 + ,3 + ,4 + ,4 + ,1 + ,22 + ,1 + ,1 + ,1 + ,3 + ,4 + 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,1 + ,5 + ,1 + ,3 + ,4 + ,4 + ,1 + ,20 + ,2 + ,1 + ,1 + ,3 + ,4 + ,1 + ,1 + ,21 + ,1 + ,1 + ,1 + ,5 + ,5 + ,1 + ,1 + ,21 + ,2 + ,1 + ,1 + ,4 + ,4 + ,3 + ,2 + ,23 + ,1 + ,2 + ,1 + ,3 + ,5 + ,3 + ,1 + ,23 + ,1 + ,1 + ,2 + ,5 + ,5 + ,3 + ,1 + ,22 + ,2 + ,3 + ,3 + ,4 + ,4 + ,4 + ,1 + ,25 + ,2 + ,1 + ,1 + ,2 + ,4 + ,2 + ,2 + ,21 + ,1 + ,1 + ,1 + ,5 + ,5 + ,1 + ,2 + ,21 + ,2 + ,1 + ,1 + ,4 + ,4 + ,2 + ,1 + ,22 + ,2 + ,3 + ,1 + ,2 + ,4 + ,1 + ,1 + ,21 + ,1 + ,1 + ,1 + ,2 + ,2 + ,2 + ,1 + ,22 + ,1 + ,1 + ,1 + ,5 + ,3 + ,1 + ,21 + ,1 + ,1 + ,1 + ,3 + ,4 + ,5 + ,2 + ,22 + ,1 + ,1 + ,1 + ,3 + ,4 + ,2 + ,1 + ,21 + ,2 + ,1 + ,1 + ,4 + ,2 + ,1 + ,2 + ,21 + ,1 + ,1 + ,1 + ,2 + ,5 + ,1 + ,1 + ,23 + ,1 + ,2 + ,1 + ,4 + ,4 + ,2 + ,2 + ,22 + ,1 + ,2 + ,1 + ,3 + ,4 + ,3 + ,1 + ,1 + ,4 + ,1 + ,3 + ,4 + ,1 + ,1 + ,23 + ,2 + ,4 + ,3 + ,3 + ,4 + ,3 + ,1 + ,22 + ,1 + ,1 + ,1 + ,2 + ,5 + ,1 + ,1 + ,20 + ,2 + ,1 + ,1 + ,4 + ,3 + ,1 + ,1 + ,25 + ,1 + ,1 + ,1 + ,3 + ,1 + ,1 + ,1 + ,2 + ,1 + ,1 + ,3 + ,5 + ,1 + ,1 + ,22 + ,2 + ,4 + ,3 + ,3 + ,3 + ,3 + ,1 + ,22 + ,1 + ,1 + ,2 + ,4 + ,5 + ,3 + ,1 + ,22 + ,1 + ,1 + ,1 + ,3 + ,3 + ,1 + ,1 + ,22 + ,2 + ,1 + ,1 + ,4 + ,4 + ,3 + ,2 + ,2 + ,1 + ,1 + ,4 + ,4 + ,2 + ,1 + ,21 + ,1 + ,3 + ,1 + ,3 + ,4 + ,3 + ,2 + ,23 + ,2 + ,1 + ,1 + ,3 + ,4 + ,2 + ,2 + ,21 + ,2 + ,1 + ,2 + ,4 + ,4 + ,2 + ,2 + ,21 + ,2 + ,1 + ,3 + ,4 + ,5 + ,5 + ,2 + ,20 + ,2 + ,4 + ,1 + ,3 + ,4 + ,4 + ,2 + ,21 + ,1 + ,4 + ,1 + ,5 + ,5 + ,1 + ,1 + ,24 + ,2 + ,1 + ,1 + ,3 + ,3 + ,1 + ,1 + ,23 + ,2 + ,2 + ,3 + ,4 + ,4 + ,3 + ,1 + ,22 + ,2 + ,1 + ,1 + ,4 + ,4 + ,3 + ,2 + ,21 + ,2 + ,2 + ,2 + ,2 + ,4 + ,2 + ,1 + ,22 + ,1 + ,1 + ,1 + ,4 + ,4 + ,1 + ,1 + ,21 + ,1 + ,3 + ,1 + ,2 + ,4 + ,1 + ,1 + ,21 + ,2 + ,2 + ,1 + ,4 + ,5 + ,4 + ,2 + ,21 + ,2 + ,2 + ,1 + ,4 + ,5 + ,3 + ,1 + ,22 + ,2 + ,1 + ,1 + ,4 + ,5 + ,3 + ,1 + ,20 + ,2 + ,1 + ,1 + ,3 + ,5 + ,3 + ,2 + ,21 + ,1 + ,2 + ,1 + ,5 + ,5 + ,3 + ,2 + ,21 + ,2 + ,1 + ,1 + ,4 + ,4 + ,3 + ,1 + ,22 + ,2 + ,2 + ,3 + ,3 + ,4 + ,2 + ,1 + ,21 + ,2 + ,2 + ,2 + ,3 + ,4 + ,1 + ,1 + ,23 + ,1 + ,1 + ,1 + ,4 + ,4 + ,2 + ,2 + ,23 + ,1 + ,1 + ,1 + ,5 + ,5 + ,1 + ,2 + ,24 + ,2 + ,2 + ,1 + ,3 + ,4 + ,2 + ,2 + ,32 + ,2 + ,1 + ,1 + ,3 + ,5 + ,1 + ,1 + ,22 + ,2 + ,2 + ,1 + ,2 + ,4 + ,4 + ,1 + ,22 + ,1 + ,1 + ,2 + ,3 + ,5 + ,1 + ,1 + ,20 + ,2 + ,1 + ,1 + ,5 + ,5 + ,1 + ,1 + ,21 + ,2 + ,1 + ,1 + ,3 + ,5 + ,1 + ,1 + ,23 + ,2 + ,1 + ,1 + ,3 + ,4 + ,3 + ,2 + ,21 + ,1 + ,1 + ,1 + ,4 + ,4 + ,2 + ,2 + ,21 + ,1 + ,1 + ,1 + ,2 + ,4 + ,1 + ,1 + ,23 + ,2 + ,1 + ,2 + ,4 + ,5 + ,1 + ,1 + ,24 + ,1 + ,1 + ,1 + ,3 + ,4 + ,3 + ,1 + ,22 + ,2) + ,dim=c(8 + ,160) + ,dimnames=list(c('X1' + ,'X2' + ,'X3' + ,'X4' + ,'X5' + ,'X6' + ,'X7' + ,'X8') + ,1:160)) > y <- array(NA,dim=c(8,160),dimnames=list(c('X1','X2','X3','X4','X5','X6','X7','X8'),1:160)) > 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 X1 X2 X3 X4 X5 X6 X7 X8 1 1 1 4 4 3 1 21 2 2 4 1 3 3 1 1 21 1 3 5 2 2 3 2 1 24 1 4 2 1 4 5 4 2 21 1 5 1 1 3 4 1 2 21 2 6 1 1 5 4 2 22 2 2 7 1 3 5 3 2 22 1 1 8 1 5 5 1 1 20 2 1 9 1 3 3 1 1 21 1 1 10 1 4 4 3 21 2 3 2 11 5 5 5 2 21 1 1 1 12 3 3 3 1 22 2 1 1 13 3 4 1 1 22 1 1 1 14 4 4 2 1 23 2 2 1 15 4 4 2 1 23 2 4 2 16 4 4 5 2 21 2 1 1 17 3 5 2 2 24 1 1 1 18 5 3 2 1 23 1 1 1 19 4 5 2 2 21 1 2 1 20 3 3 2 1 23 1 3 1 21 3 4 3 2 32 2 1 1 22 3 4 3 1 21 2 1 2 23 3 4 3 2 21 1 1 1 24 4 3 1 2 21 1 1 2 25 5 5 1 1 21 2 1 1 26 4 4 4 2 21 2 2 4 27 5 5 1 1 20 2 1 1 28 3 2 3 1 24 2 1 1 29 4 5 2 1 22 2 1 1 30 2 4 1 2 22 2 1 1 31 5 5 2 2 21 1 1 1 32 2 4 1 2 21 1 1 1 33 3 5 2 1 21 2 1 1 34 3 3 1 2 21 1 1 1 35 3 3 1 1 23 2 1 1 36 3 4 1 1 23 2 1 1 37 4 4 1 2 21 2 1 1 38 3 5 3 1 20 1 1 1 39 5 5 3 2 21 2 1 1 40 2 3 1 1 20 1 1 1 41 3 5 3 2 21 1 1 1 42 3 5 1 1 22 2 4 1 43 4 4 2 2 21 1 1 1 44 5 5 3 1 22 2 1 1 45 3 3 2 1 22 2 4 3 46 3 4 1 2 22 1 2 2 47 3 5 1 1 22 1 2 1 48 3 3 1 1 21 2 1 1 49 3 5 1 1 21 2 1 1 50 3 4 1 2 21 1 2 2 51 3 3 3 1 23 2 1 1 52 4 5 2 2 23 2 1 1 53 3 4 2 2 23 1 1 1 54 2 5 2 1 22 1 1 1 55 3 3 4 1 24 2 1 1 56 3 5 3 1 23 2 1 1 57 3 4 3 2 21 2 2 1 58 4 5 3 1 22 1 1 1 59 2 4 1 2 22 1 1 1 60 5 5 3 2 21 1 1 1 61 4 5 1 1 21 1 2 2 62 2 5 1 1 21 1 1 1 63 2 4 1 2 21 1 2 1 64 3 5 1 1 20 2 4 1 65 4 4 3 2 22 2 1 1 66 5 5 3 2 22 2 1 1 67 3 4 1 1 22 2 1 1 68 3 3 1 1 22 1 2 1 69 4 4 2 1 21 2 3 2 70 3 3 2 1 23 2 1 1 71 4 5 1 2 21 1 1 1 72 3 4 4 1 22 1 1 1 73 3 4 3 2 23 1 1 1 74 4 4 2 1 21 2 1 1 75 2 4 1 1 24 1 1 1 76 2 4 1 1 24 1 1 1 77 4 3 3 2 20 1 4 1 78 2 4 2 2 21 2 1 1 79 4 3 1 1 22 1 1 1 80 3 4 3 1 20 2 2 1 81 5 5 3 1 21 1 1 1 82 3 4 1 1 21 2 1 1 83 3 3 2 1 21 2 1 2 84 4 4 1 1 22 2 1 1 85 3 4 2 2 22 2 1 1 86 3 4 2 1 22 1 1 1 87 4 5 2 1 21 2 1 1 88 3 4 1 1 22 2 1 1 89 3 5 2 2 21 1 2 3 90 3 4 1 1 21 2 1 1 91 2 2 1 1 21 2 1 1 92 4 5 3 2 22 1 1 1 93 3 5 2 2 22 1 1 2 94 5 5 3 2 22 2 1 1 95 3 4 3 1 22 2 2 1 96 5 5 4 1 21 2 1 1 97 4 5 1 2 21 1 5 1 98 3 4 4 1 20 2 1 1 99 3 4 1 1 21 1 1 1 100 5 5 1 1 21 2 1 1 101 4 4 3 2 23 1 2 1 102 3 5 3 1 23 1 1 2 103 5 5 3 1 22 2 3 3 104 4 4 4 1 25 2 1 1 105 2 4 2 2 21 1 1 1 106 5 5 1 2 21 2 1 1 107 4 4 2 1 22 2 3 1 108 2 4 1 1 21 1 1 1 109 2 2 2 1 22 1 1 1 110 5 3 1 21 1 1 1 3 111 4 5 2 22 1 1 1 3 112 4 2 1 21 2 1 1 4 113 2 1 2 21 1 1 1 2 114 5 1 1 23 1 2 1 4 115 4 2 2 22 1 2 1 3 116 4 3 1 1 4 1 3 4 117 1 1 23 2 4 3 3 4 118 3 1 22 1 1 1 2 5 119 1 1 20 2 1 1 4 3 120 1 1 25 1 1 1 3 1 121 1 1 2 1 1 3 5 1 122 1 22 2 4 3 3 3 3 123 1 22 1 1 2 4 5 3 124 1 22 1 1 1 3 3 1 125 1 22 2 1 1 4 4 3 126 2 2 1 1 4 4 2 1 127 21 1 3 1 3 4 3 2 128 23 2 1 1 3 4 2 2 129 21 2 1 2 4 4 2 2 130 21 2 1 3 4 5 5 2 131 20 2 4 1 3 4 4 2 132 21 1 4 1 5 5 1 1 133 24 2 1 1 3 3 1 1 134 23 2 2 3 4 4 3 1 135 22 2 1 1 4 4 3 2 136 21 2 2 2 2 4 2 1 137 22 1 1 1 4 4 1 1 138 21 1 3 1 2 4 1 1 139 21 2 2 1 4 5 4 2 140 21 2 2 1 4 5 3 1 141 22 2 1 1 4 5 3 1 142 20 2 1 1 3 5 3 2 143 21 1 2 1 5 5 3 2 144 21 2 1 1 4 4 3 1 145 22 2 2 3 3 4 2 1 146 21 2 2 2 3 4 1 1 147 23 1 1 1 4 4 2 2 148 23 1 1 1 5 5 1 2 149 24 2 2 1 3 4 2 2 150 32 2 1 1 3 5 1 1 151 22 2 2 1 2 4 4 1 152 22 1 1 2 3 5 1 1 153 20 2 1 1 5 5 1 1 154 21 2 1 1 3 5 1 1 155 23 2 1 1 3 4 3 2 156 21 1 1 1 4 4 2 2 157 21 1 1 1 2 4 1 1 158 23 2 1 2 4 5 1 1 159 24 1 1 1 3 4 3 1 160 22 2 1 1 4 4 3 1 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) X2 X3 X4 X5 X6 31.7133 -0.8884 -0.9113 -0.9343 -0.8577 -0.7398 X7 X8 -0.8258 -0.2065 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -19.6558 -1.8393 0.1612 2.1229 11.2132 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 31.71334 1.39493 22.735 < 2e-16 *** X2 -0.88838 0.09680 -9.178 2.99e-16 *** X3 -0.91126 0.09799 -9.299 < 2e-16 *** X4 -0.93427 0.09203 -10.151 < 2e-16 *** X5 -0.85770 0.04569 -18.771 < 2e-16 *** X6 -0.73977 0.11220 -6.593 6.68e-10 *** X7 -0.82577 0.09138 -9.037 6.93e-16 *** X8 -0.20655 0.48264 -0.428 0.669 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 3.784 on 152 degrees of freedom Multiple R-squared: 0.78, Adjusted R-squared: 0.7699 F-statistic: 76.99 on 7 and 152 DF, p-value: < 2.2e-16 > 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,] 1.554640e-01 3.109279e-01 0.84453605 [2,] 1.109129e-01 2.218258e-01 0.88908710 [3,] 4.958616e-02 9.917231e-02 0.95041384 [4,] 2.084049e-02 4.168097e-02 0.97915951 [5,] 1.079522e-02 2.159045e-02 0.98920478 [6,] 4.197091e-03 8.394182e-03 0.99580291 [7,] 1.540236e-03 3.080473e-03 0.99845976 [8,] 7.252664e-04 1.450533e-03 0.99927473 [9,] 3.927656e-04 7.855313e-04 0.99960723 [10,] 2.665503e-04 5.331006e-04 0.99973345 [11,] 1.432016e-04 2.864032e-04 0.99985680 [12,] 5.155327e-05 1.031065e-04 0.99994845 [13,] 1.898798e-05 3.797596e-05 0.99998101 [14,] 1.279628e-05 2.559256e-05 0.99998720 [15,] 6.170403e-06 1.234081e-05 0.99999383 [16,] 6.915606e-06 1.383121e-05 0.99999308 [17,] 3.022339e-06 6.044677e-06 0.99999698 [18,] 1.105292e-06 2.210585e-06 0.99999889 [19,] 3.686335e-07 7.372670e-07 0.99999963 [20,] 3.012198e-07 6.024397e-07 0.99999970 [21,] 1.814300e-07 3.628599e-07 0.99999982 [22,] 1.430032e-07 2.860064e-07 0.99999986 [23,] 7.041163e-08 1.408233e-07 0.99999993 [24,] 2.398306e-08 4.796613e-08 0.99999998 [25,] 9.112796e-09 1.822559e-08 0.99999999 [26,] 3.548080e-09 7.096160e-09 1.00000000 [27,] 1.476685e-09 2.953370e-09 1.00000000 [28,] 7.370060e-10 1.474012e-09 1.00000000 [29,] 5.173984e-10 1.034797e-09 1.00000000 [30,] 3.680181e-10 7.360362e-10 1.00000000 [31,] 1.483818e-10 2.967635e-10 1.00000000 [32,] 6.519231e-11 1.303846e-10 1.00000000 [33,] 2.460610e-11 4.921220e-11 1.00000000 [34,] 1.228724e-11 2.457448e-11 1.00000000 [35,] 3.860121e-12 7.720243e-12 1.00000000 [36,] 1.218310e-12 2.436620e-12 1.00000000 [37,] 5.249362e-13 1.049872e-12 1.00000000 [38,] 1.983200e-13 3.966400e-13 1.00000000 [39,] 7.909320e-14 1.581864e-13 1.00000000 [40,] 2.343536e-14 4.687072e-14 1.00000000 [41,] 7.630469e-15 1.526094e-14 1.00000000 [42,] 2.427593e-15 4.855187e-15 1.00000000 [43,] 7.409349e-16 1.481870e-15 1.00000000 [44,] 1.004121e-15 2.008243e-15 1.00000000 [45,] 3.068403e-16 6.136806e-16 1.00000000 [46,] 1.118661e-16 2.237323e-16 1.00000000 [47,] 3.274133e-17 6.548267e-17 1.00000000 [48,] 1.047314e-17 2.094628e-17 1.00000000 [49,] 5.517589e-18 1.103518e-17 1.00000000 [50,] 4.661580e-18 9.323159e-18 1.00000000 [51,] 1.483186e-18 2.966372e-18 1.00000000 [52,] 1.484498e-18 2.968995e-18 1.00000000 [53,] 7.116702e-19 1.423340e-18 1.00000000 [54,] 2.235436e-19 4.470871e-19 1.00000000 [55,] 7.646588e-20 1.529318e-19 1.00000000 [56,] 5.347750e-20 1.069550e-19 1.00000000 [57,] 1.714612e-20 3.429225e-20 1.00000000 [58,] 4.533004e-21 9.066009e-21 1.00000000 [59,] 1.456653e-21 2.913306e-21 1.00000000 [60,] 4.459718e-22 8.919437e-22 1.00000000 [61,] 1.474717e-22 2.949435e-22 1.00000000 [62,] 5.410336e-23 1.082067e-22 1.00000000 [63,] 1.648978e-23 3.297956e-23 1.00000000 [64,] 5.359330e-24 1.071866e-23 1.00000000 [65,] 3.034530e-24 6.069060e-24 1.00000000 [66,] 1.597853e-24 3.195706e-24 1.00000000 [67,] 7.140206e-25 1.428041e-24 1.00000000 [68,] 4.327639e-25 8.655278e-25 1.00000000 [69,] 1.756519e-25 3.513038e-25 1.00000000 [70,] 5.426688e-26 1.085338e-25 1.00000000 [71,] 3.350409e-26 6.700818e-26 1.00000000 [72,] 1.111042e-26 2.222084e-26 1.00000000 [73,] 3.954233e-27 7.908466e-27 1.00000000 [74,] 1.505416e-27 3.010832e-27 1.00000000 [75,] 4.164093e-28 8.328186e-28 1.00000000 [76,] 1.097522e-28 2.195045e-28 1.00000000 [77,] 2.814269e-29 5.628538e-29 1.00000000 [78,] 9.353825e-30 1.870765e-29 1.00000000 [79,] 2.658517e-30 5.317035e-30 1.00000000 [80,] 9.899620e-31 1.979924e-30 1.00000000 [81,] 1.269972e-30 2.539945e-30 1.00000000 [82,] 3.813532e-31 7.627064e-31 1.00000000 [83,] 1.009213e-31 2.018426e-31 1.00000000 [84,] 6.122688e-32 1.224538e-31 1.00000000 [85,] 1.793451e-32 3.586902e-32 1.00000000 [86,] 6.053038e-33 1.210608e-32 1.00000000 [87,] 4.631611e-33 9.263221e-33 1.00000000 [88,] 1.875827e-33 3.751655e-33 1.00000000 [89,] 4.227938e-34 8.455876e-34 1.00000000 [90,] 3.112709e-34 6.225419e-34 1.00000000 [91,] 1.329532e-34 2.659063e-34 1.00000000 [92,] 5.051855e-35 1.010371e-34 1.00000000 [93,] 3.661855e-35 7.323711e-35 1.00000000 [94,] 8.249757e-36 1.649951e-35 1.00000000 [95,] 3.794352e-36 7.588703e-36 1.00000000 [96,] 3.212369e-36 6.424738e-36 1.00000000 [97,] 8.927409e-37 1.785482e-36 1.00000000 [98,] 4.101090e-37 8.202181e-37 1.00000000 [99,] 9.705248e-38 1.941050e-37 1.00000000 [100,] 1.215083e-37 2.430165e-37 1.00000000 [101,] 1.041906e-37 2.083813e-37 1.00000000 [102,] 2.962296e-38 5.924592e-38 1.00000000 [103,] 1.082788e-38 2.165577e-38 1.00000000 [104,] 1.236352e-38 2.472704e-38 1.00000000 [105,] 1.362577e-38 2.725153e-38 1.00000000 [106,] 2.102021e-38 4.204042e-38 1.00000000 [107,] 5.917407e-38 1.183481e-37 1.00000000 [108,] 2.335368e-38 4.670737e-38 1.00000000 [109,] 1.699872e-38 3.399744e-38 1.00000000 [110,] 3.466243e-39 6.932485e-39 1.00000000 [111,] 5.461703e-31 1.092341e-30 1.00000000 [112,] 4.071054e-28 8.142108e-28 1.00000000 [113,] 1.681965e-28 3.363929e-28 1.00000000 [114,] 5.595615e-29 1.119123e-28 1.00000000 [115,] 1.927657e-29 3.855314e-29 1.00000000 [116,] 6.159810e-09 1.231962e-08 0.99999999 [117,] 1.409128e-01 2.818257e-01 0.85908716 [118,] 6.309128e-01 7.381745e-01 0.36908724 [119,] 7.968616e-01 4.062768e-01 0.20313840 [120,] 8.802904e-01 2.394192e-01 0.11970962 [121,] 9.017249e-01 1.965501e-01 0.09827507 [122,] 9.164808e-01 1.670383e-01 0.08351917 [123,] 9.184180e-01 1.631639e-01 0.08158195 [124,] 9.395434e-01 1.209132e-01 0.06045661 [125,] 9.267545e-01 1.464910e-01 0.07324549 [126,] 9.085114e-01 1.829772e-01 0.09148862 [127,] 8.772144e-01 2.455712e-01 0.12278562 [128,] 8.416975e-01 3.166050e-01 0.15830251 [129,] 8.042233e-01 3.915534e-01 0.19577669 [130,] 7.571472e-01 4.857056e-01 0.24285280 [131,] 6.960614e-01 6.078771e-01 0.30393857 [132,] 7.518969e-01 4.962063e-01 0.24810313 [133,] 6.797924e-01 6.404153e-01 0.32020763 [134,] 5.872048e-01 8.255904e-01 0.41279519 [135,] 5.068549e-01 9.862903e-01 0.49314514 [136,] 4.022262e-01 8.044523e-01 0.59777383 [137,] 3.055965e-01 6.111931e-01 0.69440346 [138,] 2.025357e-01 4.050714e-01 0.79746432 [139,] 1.662394e-01 3.324788e-01 0.83376060 > postscript(file="/var/www/html/freestat/rcomp/tmp/1sy2r1291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/2sy2r1291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/3k8kc1291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/4k8kc1291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/5k8kc1291309082.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 = 160 Frequency = 1 1 2 3 4 5 -1.375648960 -2.143119155 2.169025752 1.949537413 -3.262535659 6 7 8 9 10 -1.476669339 -1.666497971 -3.269732804 -6.955013560 1.669639637 11 12 13 14 15 3.937145218 -0.998929795 -2.672831293 1.661666827 3.519763148 16 17 18 19 20 2.788532884 1.776471313 0.207744124 1.029148612 -0.140707590 21 22 23 24 25 9.400707479 -0.761700261 -0.773749061 -2.278095305 0.097618318 26 27 28 29 30 3.322694217 -0.760080630 -0.171912346 0.866574182 -1.998795833 31 32 33 34 35 1.203374470 -3.596262893 -0.991124766 -3.484643340 -1.963744679 36 37 38 39 40 -1.075364232 -0.856494781 -1.677334910 2.854399498 -6.276609636 41 42 43 44 45 0.114631386 1.432639695 -0.685005977 2.777831099 0.980231788 46 47 48 49 50 -0.706241767 -0.958676704 -3.679142575 -1.902381682 -1.563940715 51 52 53 54 55 -0.141230847 2.658540478 0.030391919 -1.873193930 1.627725017 56 57 58 59 60 1.635530047 0.791793195 1.038062986 -2.738563945 2.114631386 61 62 63 64 65 -0.609827616 -3.642149794 -2.770488750 -0.282758201 1.823718000 66 67 68 69 70 3.712098446 -1.933063180 -2.735437597 0.978591109 -1.052487763 71 72 73 74 75 -0.707882447 0.060939455 0.941648835 -0.879505212 -1.957433397 76 77 78 79 80 -1.957433397 0.957493973 -1.945237864 -2.561211740 -1.000173101 81 82 83 84 85 1.180364038 -2.790762128 -2.561337624 -0.933063180 -0.087538916 86 87 88 89 90 -1.761574377 0.008875234 -1.933063180 0.442244683 -2.790762128 91 92 93 94 95 -5.567523022 1.972330334 0.267621453 3.712098446 0.715224795 96 97 98 99 100 2.831389067 2.595214125 -0.914690328 -3.530530241 0.097618318 101 102 103 104 105 2.767422978 1.102309969 4.842475455 4.373804412 -2.685005977 106 107 108 109 110 1.031885666 1.629742022 -4.530530241 -4.538335270 -0.474446621 111 112 113 114 115 2.147838536 -1.298580084 -4.546498634 0.563643329 0.222465309 116 117 118 119 120 -15.728600412 1.956094423 -2.561289018 -4.211083287 -1.827936268 121 122 123 124 125 -19.655760828 2.279976278 0.099534769 -3.562576648 -0.672681406 126 127 128 129 130 -17.843094769 2.265661847 2.505754318 2.297720614 6.449078503 131 132 133 134 135 3.891073352 3.773988450 1.733664027 6.762470986 3.189227409 136 137 138 139 140 1.287031599 0.442750641 -0.450133422 4.666026581 3.633704403 141 142 143 144 145 3.722447487 1.071296574 3.809570939 1.982679374 4.078997895 146 147 148 149 150 1.318956404 2.475072820 3.246765737 4.417011234 11.213200253 151 152 153 154 155 3.004312537 1.259087154 0.928598149 0.213200253 3.331528461 156 157 158 159 160 0.475072820 -2.272647255 4.005166549 3.236599979 2.982679374 > postscript(file="/var/www/html/freestat/rcomp/tmp/6vhjx1291309082.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 = 160 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.375648960 NA 1 -2.143119155 -1.375648960 2 2.169025752 -2.143119155 3 1.949537413 2.169025752 4 -3.262535659 1.949537413 5 -1.476669339 -3.262535659 6 -1.666497971 -1.476669339 7 -3.269732804 -1.666497971 8 -6.955013560 -3.269732804 9 1.669639637 -6.955013560 10 3.937145218 1.669639637 11 -0.998929795 3.937145218 12 -2.672831293 -0.998929795 13 1.661666827 -2.672831293 14 3.519763148 1.661666827 15 2.788532884 3.519763148 16 1.776471313 2.788532884 17 0.207744124 1.776471313 18 1.029148612 0.207744124 19 -0.140707590 1.029148612 20 9.400707479 -0.140707590 21 -0.761700261 9.400707479 22 -0.773749061 -0.761700261 23 -2.278095305 -0.773749061 24 0.097618318 -2.278095305 25 3.322694217 0.097618318 26 -0.760080630 3.322694217 27 -0.171912346 -0.760080630 28 0.866574182 -0.171912346 29 -1.998795833 0.866574182 30 1.203374470 -1.998795833 31 -3.596262893 1.203374470 32 -0.991124766 -3.596262893 33 -3.484643340 -0.991124766 34 -1.963744679 -3.484643340 35 -1.075364232 -1.963744679 36 -0.856494781 -1.075364232 37 -1.677334910 -0.856494781 38 2.854399498 -1.677334910 39 -6.276609636 2.854399498 40 0.114631386 -6.276609636 41 1.432639695 0.114631386 42 -0.685005977 1.432639695 43 2.777831099 -0.685005977 44 0.980231788 2.777831099 45 -0.706241767 0.980231788 46 -0.958676704 -0.706241767 47 -3.679142575 -0.958676704 48 -1.902381682 -3.679142575 49 -1.563940715 -1.902381682 50 -0.141230847 -1.563940715 51 2.658540478 -0.141230847 52 0.030391919 2.658540478 53 -1.873193930 0.030391919 54 1.627725017 -1.873193930 55 1.635530047 1.627725017 56 0.791793195 1.635530047 57 1.038062986 0.791793195 58 -2.738563945 1.038062986 59 2.114631386 -2.738563945 60 -0.609827616 2.114631386 61 -3.642149794 -0.609827616 62 -2.770488750 -3.642149794 63 -0.282758201 -2.770488750 64 1.823718000 -0.282758201 65 3.712098446 1.823718000 66 -1.933063180 3.712098446 67 -2.735437597 -1.933063180 68 0.978591109 -2.735437597 69 -1.052487763 0.978591109 70 -0.707882447 -1.052487763 71 0.060939455 -0.707882447 72 0.941648835 0.060939455 73 -0.879505212 0.941648835 74 -1.957433397 -0.879505212 75 -1.957433397 -1.957433397 76 0.957493973 -1.957433397 77 -1.945237864 0.957493973 78 -2.561211740 -1.945237864 79 -1.000173101 -2.561211740 80 1.180364038 -1.000173101 81 -2.790762128 1.180364038 82 -2.561337624 -2.790762128 83 -0.933063180 -2.561337624 84 -0.087538916 -0.933063180 85 -1.761574377 -0.087538916 86 0.008875234 -1.761574377 87 -1.933063180 0.008875234 88 0.442244683 -1.933063180 89 -2.790762128 0.442244683 90 -5.567523022 -2.790762128 91 1.972330334 -5.567523022 92 0.267621453 1.972330334 93 3.712098446 0.267621453 94 0.715224795 3.712098446 95 2.831389067 0.715224795 96 2.595214125 2.831389067 97 -0.914690328 2.595214125 98 -3.530530241 -0.914690328 99 0.097618318 -3.530530241 100 2.767422978 0.097618318 101 1.102309969 2.767422978 102 4.842475455 1.102309969 103 4.373804412 4.842475455 104 -2.685005977 4.373804412 105 1.031885666 -2.685005977 106 1.629742022 1.031885666 107 -4.530530241 1.629742022 108 -4.538335270 -4.530530241 109 -0.474446621 -4.538335270 110 2.147838536 -0.474446621 111 -1.298580084 2.147838536 112 -4.546498634 -1.298580084 113 0.563643329 -4.546498634 114 0.222465309 0.563643329 115 -15.728600412 0.222465309 116 1.956094423 -15.728600412 117 -2.561289018 1.956094423 118 -4.211083287 -2.561289018 119 -1.827936268 -4.211083287 120 -19.655760828 -1.827936268 121 2.279976278 -19.655760828 122 0.099534769 2.279976278 123 -3.562576648 0.099534769 124 -0.672681406 -3.562576648 125 -17.843094769 -0.672681406 126 2.265661847 -17.843094769 127 2.505754318 2.265661847 128 2.297720614 2.505754318 129 6.449078503 2.297720614 130 3.891073352 6.449078503 131 3.773988450 3.891073352 132 1.733664027 3.773988450 133 6.762470986 1.733664027 134 3.189227409 6.762470986 135 1.287031599 3.189227409 136 0.442750641 1.287031599 137 -0.450133422 0.442750641 138 4.666026581 -0.450133422 139 3.633704403 4.666026581 140 3.722447487 3.633704403 141 1.071296574 3.722447487 142 3.809570939 1.071296574 143 1.982679374 3.809570939 144 4.078997895 1.982679374 145 1.318956404 4.078997895 146 2.475072820 1.318956404 147 3.246765737 2.475072820 148 4.417011234 3.246765737 149 11.213200253 4.417011234 150 3.004312537 11.213200253 151 1.259087154 3.004312537 152 0.928598149 1.259087154 153 0.213200253 0.928598149 154 3.331528461 0.213200253 155 0.475072820 3.331528461 156 -2.272647255 0.475072820 157 4.005166549 -2.272647255 158 3.236599979 4.005166549 159 2.982679374 3.236599979 160 NA 2.982679374 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -2.143119155 -1.375648960 [2,] 2.169025752 -2.143119155 [3,] 1.949537413 2.169025752 [4,] -3.262535659 1.949537413 [5,] -1.476669339 -3.262535659 [6,] -1.666497971 -1.476669339 [7,] -3.269732804 -1.666497971 [8,] -6.955013560 -3.269732804 [9,] 1.669639637 -6.955013560 [10,] 3.937145218 1.669639637 [11,] -0.998929795 3.937145218 [12,] -2.672831293 -0.998929795 [13,] 1.661666827 -2.672831293 [14,] 3.519763148 1.661666827 [15,] 2.788532884 3.519763148 [16,] 1.776471313 2.788532884 [17,] 0.207744124 1.776471313 [18,] 1.029148612 0.207744124 [19,] -0.140707590 1.029148612 [20,] 9.400707479 -0.140707590 [21,] -0.761700261 9.400707479 [22,] -0.773749061 -0.761700261 [23,] -2.278095305 -0.773749061 [24,] 0.097618318 -2.278095305 [25,] 3.322694217 0.097618318 [26,] -0.760080630 3.322694217 [27,] -0.171912346 -0.760080630 [28,] 0.866574182 -0.171912346 [29,] -1.998795833 0.866574182 [30,] 1.203374470 -1.998795833 [31,] -3.596262893 1.203374470 [32,] -0.991124766 -3.596262893 [33,] -3.484643340 -0.991124766 [34,] -1.963744679 -3.484643340 [35,] -1.075364232 -1.963744679 [36,] -0.856494781 -1.075364232 [37,] -1.677334910 -0.856494781 [38,] 2.854399498 -1.677334910 [39,] -6.276609636 2.854399498 [40,] 0.114631386 -6.276609636 [41,] 1.432639695 0.114631386 [42,] -0.685005977 1.432639695 [43,] 2.777831099 -0.685005977 [44,] 0.980231788 2.777831099 [45,] -0.706241767 0.980231788 [46,] -0.958676704 -0.706241767 [47,] -3.679142575 -0.958676704 [48,] -1.902381682 -3.679142575 [49,] -1.563940715 -1.902381682 [50,] -0.141230847 -1.563940715 [51,] 2.658540478 -0.141230847 [52,] 0.030391919 2.658540478 [53,] -1.873193930 0.030391919 [54,] 1.627725017 -1.873193930 [55,] 1.635530047 1.627725017 [56,] 0.791793195 1.635530047 [57,] 1.038062986 0.791793195 [58,] -2.738563945 1.038062986 [59,] 2.114631386 -2.738563945 [60,] -0.609827616 2.114631386 [61,] -3.642149794 -0.609827616 [62,] -2.770488750 -3.642149794 [63,] -0.282758201 -2.770488750 [64,] 1.823718000 -0.282758201 [65,] 3.712098446 1.823718000 [66,] -1.933063180 3.712098446 [67,] -2.735437597 -1.933063180 [68,] 0.978591109 -2.735437597 [69,] -1.052487763 0.978591109 [70,] -0.707882447 -1.052487763 [71,] 0.060939455 -0.707882447 [72,] 0.941648835 0.060939455 [73,] -0.879505212 0.941648835 [74,] -1.957433397 -0.879505212 [75,] -1.957433397 -1.957433397 [76,] 0.957493973 -1.957433397 [77,] -1.945237864 0.957493973 [78,] -2.561211740 -1.945237864 [79,] -1.000173101 -2.561211740 [80,] 1.180364038 -1.000173101 [81,] -2.790762128 1.180364038 [82,] -2.561337624 -2.790762128 [83,] -0.933063180 -2.561337624 [84,] -0.087538916 -0.933063180 [85,] -1.761574377 -0.087538916 [86,] 0.008875234 -1.761574377 [87,] -1.933063180 0.008875234 [88,] 0.442244683 -1.933063180 [89,] -2.790762128 0.442244683 [90,] -5.567523022 -2.790762128 [91,] 1.972330334 -5.567523022 [92,] 0.267621453 1.972330334 [93,] 3.712098446 0.267621453 [94,] 0.715224795 3.712098446 [95,] 2.831389067 0.715224795 [96,] 2.595214125 2.831389067 [97,] -0.914690328 2.595214125 [98,] -3.530530241 -0.914690328 [99,] 0.097618318 -3.530530241 [100,] 2.767422978 0.097618318 [101,] 1.102309969 2.767422978 [102,] 4.842475455 1.102309969 [103,] 4.373804412 4.842475455 [104,] -2.685005977 4.373804412 [105,] 1.031885666 -2.685005977 [106,] 1.629742022 1.031885666 [107,] -4.530530241 1.629742022 [108,] -4.538335270 -4.530530241 [109,] -0.474446621 -4.538335270 [110,] 2.147838536 -0.474446621 [111,] -1.298580084 2.147838536 [112,] -4.546498634 -1.298580084 [113,] 0.563643329 -4.546498634 [114,] 0.222465309 0.563643329 [115,] -15.728600412 0.222465309 [116,] 1.956094423 -15.728600412 [117,] -2.561289018 1.956094423 [118,] -4.211083287 -2.561289018 [119,] -1.827936268 -4.211083287 [120,] -19.655760828 -1.827936268 [121,] 2.279976278 -19.655760828 [122,] 0.099534769 2.279976278 [123,] -3.562576648 0.099534769 [124,] -0.672681406 -3.562576648 [125,] -17.843094769 -0.672681406 [126,] 2.265661847 -17.843094769 [127,] 2.505754318 2.265661847 [128,] 2.297720614 2.505754318 [129,] 6.449078503 2.297720614 [130,] 3.891073352 6.449078503 [131,] 3.773988450 3.891073352 [132,] 1.733664027 3.773988450 [133,] 6.762470986 1.733664027 [134,] 3.189227409 6.762470986 [135,] 1.287031599 3.189227409 [136,] 0.442750641 1.287031599 [137,] -0.450133422 0.442750641 [138,] 4.666026581 -0.450133422 [139,] 3.633704403 4.666026581 [140,] 3.722447487 3.633704403 [141,] 1.071296574 3.722447487 [142,] 3.809570939 1.071296574 [143,] 1.982679374 3.809570939 [144,] 4.078997895 1.982679374 [145,] 1.318956404 4.078997895 [146,] 2.475072820 1.318956404 [147,] 3.246765737 2.475072820 [148,] 4.417011234 3.246765737 [149,] 11.213200253 4.417011234 [150,] 3.004312537 11.213200253 [151,] 1.259087154 3.004312537 [152,] 0.928598149 1.259087154 [153,] 0.213200253 0.928598149 [154,] 3.331528461 0.213200253 [155,] 0.475072820 3.331528461 [156,] -2.272647255 0.475072820 [157,] 4.005166549 -2.272647255 [158,] 3.236599979 4.005166549 [159,] 2.982679374 3.236599979 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -2.143119155 -1.375648960 2 2.169025752 -2.143119155 3 1.949537413 2.169025752 4 -3.262535659 1.949537413 5 -1.476669339 -3.262535659 6 -1.666497971 -1.476669339 7 -3.269732804 -1.666497971 8 -6.955013560 -3.269732804 9 1.669639637 -6.955013560 10 3.937145218 1.669639637 11 -0.998929795 3.937145218 12 -2.672831293 -0.998929795 13 1.661666827 -2.672831293 14 3.519763148 1.661666827 15 2.788532884 3.519763148 16 1.776471313 2.788532884 17 0.207744124 1.776471313 18 1.029148612 0.207744124 19 -0.140707590 1.029148612 20 9.400707479 -0.140707590 21 -0.761700261 9.400707479 22 -0.773749061 -0.761700261 23 -2.278095305 -0.773749061 24 0.097618318 -2.278095305 25 3.322694217 0.097618318 26 -0.760080630 3.322694217 27 -0.171912346 -0.760080630 28 0.866574182 -0.171912346 29 -1.998795833 0.866574182 30 1.203374470 -1.998795833 31 -3.596262893 1.203374470 32 -0.991124766 -3.596262893 33 -3.484643340 -0.991124766 34 -1.963744679 -3.484643340 35 -1.075364232 -1.963744679 36 -0.856494781 -1.075364232 37 -1.677334910 -0.856494781 38 2.854399498 -1.677334910 39 -6.276609636 2.854399498 40 0.114631386 -6.276609636 41 1.432639695 0.114631386 42 -0.685005977 1.432639695 43 2.777831099 -0.685005977 44 0.980231788 2.777831099 45 -0.706241767 0.980231788 46 -0.958676704 -0.706241767 47 -3.679142575 -0.958676704 48 -1.902381682 -3.679142575 49 -1.563940715 -1.902381682 50 -0.141230847 -1.563940715 51 2.658540478 -0.141230847 52 0.030391919 2.658540478 53 -1.873193930 0.030391919 54 1.627725017 -1.873193930 55 1.635530047 1.627725017 56 0.791793195 1.635530047 57 1.038062986 0.791793195 58 -2.738563945 1.038062986 59 2.114631386 -2.738563945 60 -0.609827616 2.114631386 61 -3.642149794 -0.609827616 62 -2.770488750 -3.642149794 63 -0.282758201 -2.770488750 64 1.823718000 -0.282758201 65 3.712098446 1.823718000 66 -1.933063180 3.712098446 67 -2.735437597 -1.933063180 68 0.978591109 -2.735437597 69 -1.052487763 0.978591109 70 -0.707882447 -1.052487763 71 0.060939455 -0.707882447 72 0.941648835 0.060939455 73 -0.879505212 0.941648835 74 -1.957433397 -0.879505212 75 -1.957433397 -1.957433397 76 0.957493973 -1.957433397 77 -1.945237864 0.957493973 78 -2.561211740 -1.945237864 79 -1.000173101 -2.561211740 80 1.180364038 -1.000173101 81 -2.790762128 1.180364038 82 -2.561337624 -2.790762128 83 -0.933063180 -2.561337624 84 -0.087538916 -0.933063180 85 -1.761574377 -0.087538916 86 0.008875234 -1.761574377 87 -1.933063180 0.008875234 88 0.442244683 -1.933063180 89 -2.790762128 0.442244683 90 -5.567523022 -2.790762128 91 1.972330334 -5.567523022 92 0.267621453 1.972330334 93 3.712098446 0.267621453 94 0.715224795 3.712098446 95 2.831389067 0.715224795 96 2.595214125 2.831389067 97 -0.914690328 2.595214125 98 -3.530530241 -0.914690328 99 0.097618318 -3.530530241 100 2.767422978 0.097618318 101 1.102309969 2.767422978 102 4.842475455 1.102309969 103 4.373804412 4.842475455 104 -2.685005977 4.373804412 105 1.031885666 -2.685005977 106 1.629742022 1.031885666 107 -4.530530241 1.629742022 108 -4.538335270 -4.530530241 109 -0.474446621 -4.538335270 110 2.147838536 -0.474446621 111 -1.298580084 2.147838536 112 -4.546498634 -1.298580084 113 0.563643329 -4.546498634 114 0.222465309 0.563643329 115 -15.728600412 0.222465309 116 1.956094423 -15.728600412 117 -2.561289018 1.956094423 118 -4.211083287 -2.561289018 119 -1.827936268 -4.211083287 120 -19.655760828 -1.827936268 121 2.279976278 -19.655760828 122 0.099534769 2.279976278 123 -3.562576648 0.099534769 124 -0.672681406 -3.562576648 125 -17.843094769 -0.672681406 126 2.265661847 -17.843094769 127 2.505754318 2.265661847 128 2.297720614 2.505754318 129 6.449078503 2.297720614 130 3.891073352 6.449078503 131 3.773988450 3.891073352 132 1.733664027 3.773988450 133 6.762470986 1.733664027 134 3.189227409 6.762470986 135 1.287031599 3.189227409 136 0.442750641 1.287031599 137 -0.450133422 0.442750641 138 4.666026581 -0.450133422 139 3.633704403 4.666026581 140 3.722447487 3.633704403 141 1.071296574 3.722447487 142 3.809570939 1.071296574 143 1.982679374 3.809570939 144 4.078997895 1.982679374 145 1.318956404 4.078997895 146 2.475072820 1.318956404 147 3.246765737 2.475072820 148 4.417011234 3.246765737 149 11.213200253 4.417011234 150 3.004312537 11.213200253 151 1.259087154 3.004312537 152 0.928598149 1.259087154 153 0.213200253 0.928598149 154 3.331528461 0.213200253 155 0.475072820 3.331528461 156 -2.272647255 0.475072820 157 4.005166549 -2.272647255 158 3.236599979 4.005166549 159 2.982679374 3.236599979 > 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/7oqi01291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/8oqi01291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/9oqi01291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/freestat/rcomp/tmp/10gzil1291309082.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/freestat/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11kiy91291309082.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/12niwf1291309082.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/131sun1291309082.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/14nttb1291309082.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/15f2sw1291309082.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/16tc8n1291309082.tab") + } > > try(system("convert tmp/1sy2r1291309082.ps tmp/1sy2r1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/2sy2r1291309082.ps tmp/2sy2r1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/3k8kc1291309082.ps tmp/3k8kc1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/4k8kc1291309082.ps tmp/4k8kc1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/5k8kc1291309082.ps tmp/5k8kc1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/6vhjx1291309082.ps tmp/6vhjx1291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/7oqi01291309082.ps tmp/7oqi01291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/8oqi01291309082.ps tmp/8oqi01291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/9oqi01291309082.ps tmp/9oqi01291309082.png",intern=TRUE)) character(0) > try(system("convert tmp/10gzil1291309082.ps tmp/10gzil1291309082.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.933 2.656 6.294