R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(110.92 + ,89.06 + ,3566.59 + ,38.58 + ,111.19 + ,88.96 + ,3557.28 + ,38.48 + ,111.19 + ,88.95 + ,3568.88 + ,38.56 + ,110.42 + ,87.66 + ,3515.19 + ,38.25 + ,109.69 + ,86.62 + ,3502.13 + ,37.97 + ,110.03 + ,87.03 + ,3500.94 + ,38.42 + ,110.77 + ,87.83 + ,3528.8 + ,38.6 + ,111.34 + ,88.14 + ,3498.22 + ,38.3 + ,111.34 + ,88.28 + ,3477.36 + ,38.22 + ,110.41 + ,87.06 + ,3462.06 + ,38.22 + ,111.05 + ,87.69 + ,3439.58 + ,38.22 + ,110.44 + ,87.34 + ,3341.52 + ,36.98 + ,111.56 + ,88.94 + ,3382.4 + ,37.43 + ,109.48 + ,87.59 + ,3400.02 + ,37.52 + ,109.18 + ,87.12 + ,3430.6 + ,37.98 + ,107.69 + ,85.78 + ,3411.65 + ,37.83 + ,108.7 + ,86.7 + ,3423.57 + ,38 + ,107.19 + ,85.69 + ,3407.68 + ,37.7 + ,107.84 + ,85.92 + ,3409.59 + ,37.88 + ,108.33 + ,86.59 + ,3478.66 + ,39.02 + ,109.4 + ,86.06 + ,3448.5 + ,38.84 + ,107.08 + ,85.03 + ,3492.46 + ,39.44 + ,106.75 + ,84.69 + ,3475.4 + ,39.12 + ,111.02 + ,88.25 + ,3429.27 + ,38.82 + ,107.81 + ,85.79 + ,3459.44 + ,38.99 + 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+ ,38.49 + ,114.66 + ,97.83 + ,3129.95 + ,38.29) + ,dim=c(4 + ,259) + ,dimnames=list(c('Brent' + ,'WTI' + ,'Cac40' + ,'Total_SA') + ,1:259)) > y <- array(NA,dim=c(4,259),dimnames=list(c('Brent','WTI','Cac40','Total_SA'),1:259)) > 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 = 'Include Monthly Dummies' > par1 = '4' > par3 <- 'No Linear Trend' > par2 <- 'Include Monthly Dummies' > par1 <- '4' > #'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, 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 Total_SA Brent WTI Cac40 M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 1 38.58 110.92 89.06 3566.59 1 0 0 0 0 0 0 0 0 0 0 2 38.48 111.19 88.96 3557.28 0 1 0 0 0 0 0 0 0 0 0 3 38.56 111.19 88.95 3568.88 0 0 1 0 0 0 0 0 0 0 0 4 38.25 110.42 87.66 3515.19 0 0 0 1 0 0 0 0 0 0 0 5 37.97 109.69 86.62 3502.13 0 0 0 0 1 0 0 0 0 0 0 6 38.42 110.03 87.03 3500.94 0 0 0 0 0 1 0 0 0 0 0 7 38.60 110.77 87.83 3528.80 0 0 0 0 0 0 1 0 0 0 0 8 38.30 111.34 88.14 3498.22 0 0 0 0 0 0 0 1 0 0 0 9 38.22 111.34 88.28 3477.36 0 0 0 0 0 0 0 0 1 0 0 10 38.22 110.41 87.06 3462.06 0 0 0 0 0 0 0 0 0 1 0 11 38.22 111.05 87.69 3439.58 0 0 0 0 0 0 0 0 0 0 1 12 36.98 110.44 87.34 3341.52 0 0 0 0 0 0 0 0 0 0 0 13 37.43 111.56 88.94 3382.40 1 0 0 0 0 0 0 0 0 0 0 14 37.52 109.48 87.59 3400.02 0 1 0 0 0 0 0 0 0 0 0 15 37.98 109.18 87.12 3430.60 0 0 1 0 0 0 0 0 0 0 0 16 37.83 107.69 85.78 3411.65 0 0 0 1 0 0 0 0 0 0 0 17 38.00 108.70 86.70 3423.57 0 0 0 0 1 0 0 0 0 0 0 18 37.70 107.19 85.69 3407.68 0 0 0 0 0 1 0 0 0 0 0 19 37.88 107.84 85.92 3409.59 0 0 0 0 0 0 1 0 0 0 0 20 39.02 108.33 86.59 3478.66 0 0 0 0 0 0 0 1 0 0 0 21 38.84 109.40 86.06 3448.50 0 0 0 0 0 0 0 0 1 0 0 22 39.44 107.08 85.03 3492.46 0 0 0 0 0 0 0 0 0 1 0 23 39.12 106.75 84.69 3475.40 0 0 0 0 0 0 0 0 0 0 1 24 38.82 111.02 88.25 3429.27 0 0 0 0 0 0 0 0 0 0 0 25 38.99 107.81 85.79 3459.44 1 0 0 0 0 0 0 0 0 0 0 26 38.39 105.44 84.78 3408.89 0 1 0 0 0 0 0 0 0 0 0 27 38.71 105.75 84.83 3435.09 0 0 1 0 0 0 0 0 0 0 0 28 38.43 108.15 86.89 3411.53 0 0 0 1 0 0 0 0 0 0 0 29 38.67 108.47 86.12 3426.49 0 0 0 0 1 0 0 0 0 0 0 30 38.45 108.96 85.71 3406.50 0 0 0 0 0 1 0 0 0 0 0 31 39.34 109.29 85.28 3483.25 0 0 0 0 0 0 1 0 0 0 0 32 39.60 109.23 85.95 3504.56 0 0 0 0 0 0 0 1 0 0 0 33 39.84 109.61 86.17 3535.18 0 0 0 0 0 0 0 0 1 0 0 34 40.00 108.56 86.19 3527.50 0 0 0 0 0 0 0 0 0 1 0 35 39.55 107.77 85.77 3500.94 0 0 0 0 0 0 0 0 0 0 1 36 38.50 108.25 86.69 3420.28 0 0 0 0 0 0 0 0 0 0 0 37 38.13 109.72 89.23 3389.08 1 0 0 0 0 0 0 0 0 0 0 38 38.75 109.57 89.91 3413.72 0 1 0 0 0 0 0 0 0 0 0 39 38.20 110.14 90.51 3365.87 0 0 1 0 0 0 0 0 0 0 0 40 38.39 112.47 92.48 3382.78 0 0 0 1 0 0 0 0 0 0 0 41 38.29 113.17 92.42 3406.53 0 0 0 0 1 0 0 0 0 0 0 42 38.73 113.70 92.92 3457.04 0 0 0 0 0 1 0 0 0 0 0 43 38.33 114.47 92.19 3401.20 0 0 0 0 0 0 1 0 0 0 0 44 38.73 113.05 91.53 3406.02 0 0 0 0 0 0 0 1 0 0 0 45 39.06 114.56 91.62 3414.23 0 0 0 0 0 0 0 0 1 0 0 46 39.28 115.72 92.47 3434.98 0 0 0 0 0 0 0 0 0 1 0 47 38.60 114.51 91.27 3354.82 0 0 0 0 0 0 0 0 0 0 1 48 39.68 114.42 91.88 3439.32 0 0 0 0 0 0 0 0 0 0 0 49 39.61 112.06 89.99 3414.84 1 0 0 0 0 0 0 0 0 0 0 50 40.74 111.59 89.68 3513.81 0 1 0 0 0 0 0 0 0 0 0 51 40.55 111.90 89.92 3497.22 0 0 1 0 0 0 0 0 0 0 0 52 40.80 112.25 91.48 3530.72 0 0 0 1 0 0 0 0 0 0 0 53 40.81 108.07 88.34 3509.92 0 0 0 0 1 0 0 0 0 0 0 54 41.47 111.30 91.66 3531.82 0 0 0 0 0 1 0 0 0 0 0 55 41.00 112.23 92.43 3512.69 0 0 0 0 0 0 1 0 0 0 0 56 41.42 111.88 91.50 3553.69 0 0 0 0 0 0 0 1 0 0 0 57 41.84 112.14 92.03 3581.58 0 0 0 0 0 0 0 0 1 0 0 58 40.89 112.47 92.22 3502.09 0 0 0 0 0 0 0 0 0 1 0 59 41.05 110.11 90.31 3543.79 0 0 0 0 0 0 0 0 0 0 1 60 41.20 109.96 90.86 3537.30 0 0 0 0 0 0 0 0 0 0 0 61 40.45 109.86 92.10 3506.05 1 0 0 0 0 0 0 0 0 0 0 62 40.55 111.41 92.90 3519.05 0 1 0 0 0 0 0 0 0 0 0 63 40.50 111.56 93.06 3509.88 0 0 1 0 0 0 0 0 0 0 0 64 39.23 110.56 92.82 3405.79 0 0 0 1 0 0 0 0 0 0 0 65 39.42 108.36 92.19 3399.04 0 0 0 0 1 0 0 0 0 0 0 66 40.05 111.67 95.78 3453.71 0 0 0 0 0 1 0 0 0 0 0 67 39.70 113.60 97.30 3413.07 0 0 0 0 0 0 1 0 0 0 0 68 39.17 116.85 99.30 3379.11 0 0 0 0 0 0 0 1 0 0 0 69 39.42 116.70 98.99 3413.89 0 0 0 0 0 0 0 0 1 0 0 70 39.24 115.64 98.14 3431.55 0 0 0 0 0 0 0 0 0 1 0 71 39.60 115.27 96.96 3462.83 0 0 0 0 0 0 0 0 0 0 1 72 39.38 114.41 96.88 3433.21 0 0 0 0 0 0 0 0 0 0 0 73 39.38 114.26 96.25 3432.56 1 0 0 0 0 0 0 0 0 0 0 74 39.80 113.91 96.31 3461.65 0 1 0 0 0 0 0 0 0 0 0 75 40.45 114.54 96.34 3513.28 0 0 1 0 0 0 0 0 0 0 0 76 40.45 112.60 94.83 3480.58 0 0 0 1 0 0 0 0 0 0 0 77 40.38 113.78 95.78 3488.38 0 0 0 0 1 0 0 0 0 0 0 78 40.25 114.17 95.36 3480.49 0 0 0 0 0 1 0 0 0 0 0 79 40.03 115.78 96.86 3449.20 0 0 0 0 0 0 1 0 0 0 0 80 40.00 114.59 96.19 3450.27 0 0 0 0 0 0 0 1 0 0 0 81 39.76 114.88 96.44 3426.41 0 0 0 0 0 0 0 0 1 0 0 82 39.96 112.79 94.57 3435.62 0 0 0 0 0 0 0 0 0 1 0 83 40.00 112.73 95.15 3456.71 0 0 0 0 0 0 0 0 0 0 1 84 39.90 112.38 96.17 3438.26 0 0 0 0 0 0 0 0 0 0 0 85 39.76 112.59 95.67 3453.28 1 0 0 0 0 0 0 0 0 0 0 86 38.90 114.21 96.76 3401.56 0 1 0 0 0 0 0 0 0 0 0 87 38.92 113.47 96.09 3374.19 0 0 1 0 0 0 0 0 0 0 0 88 37.34 114.44 95.92 3232.46 0 0 0 1 0 0 0 0 0 0 0 89 37.99 115.03 97.36 3321.56 0 0 0 0 1 0 0 0 0 0 0 90 37.60 114.86 96.84 3291.66 0 0 0 0 0 1 0 0 0 0 0 91 37.45 113.61 96.17 3320.71 0 0 0 0 0 0 1 0 0 0 0 92 37.35 114.08 96.19 3280.19 0 0 0 0 0 0 0 1 0 0 0 93 36.12 113.73 96.17 3207.12 0 0 0 0 0 0 0 0 1 0 0 94 34.83 114.40 95.30 3081.74 0 0 0 0 0 0 0 0 0 1 0 95 34.83 114.48 94.36 3074.68 0 0 0 0 0 0 0 0 0 0 1 96 35.39 112.08 93.14 3101.53 0 0 0 0 0 0 0 0 0 0 0 97 36.05 111.58 92.58 3193.89 1 0 0 0 0 0 0 0 0 0 0 98 36.66 111.44 93.23 3263.64 0 1 0 0 0 0 0 0 0 0 0 99 36.54 113.38 93.35 3235.40 0 0 1 0 0 0 0 0 0 0 0 100 35.87 113.30 93.53 3176.97 0 0 0 1 0 0 0 0 0 0 0 101 36.01 112.03 93.32 3179.90 0 0 0 0 1 0 0 0 0 0 0 102 36.03 111.69 93.29 3180.81 0 0 0 0 0 1 0 0 0 0 0 103 35.63 109.56 91.88 3135.18 0 0 0 0 0 0 1 0 0 0 0 104 36.04 108.50 91.25 3157.25 0 0 0 0 0 0 0 1 0 0 0 105 35.96 109.01 91.36 3175.41 0 0 0 0 0 0 0 0 1 0 0 106 35.94 105.87 87.44 3156.80 0 0 0 0 0 0 0 0 0 1 0 107 36.06 105.81 88.73 3168.79 0 0 0 0 0 0 0 0 0 0 1 108 36.52 104.62 87.75 3229.36 0 0 0 0 0 0 0 0 0 0 0 109 36.91 106.05 89.61 3267.75 1 0 0 0 0 0 0 0 0 0 0 110 37.05 106.44 90.02 3271.20 0 1 0 0 0 0 0 0 0 0 0 111 35.98 106.55 90.13 3240.20 0 0 1 0 0 0 0 0 0 0 0 112 35.50 105.33 89.16 3196.65 0 0 0 1 0 0 0 0 0 0 0 113 34.04 104.61 88.77 3051.68 0 0 0 0 1 0 0 0 0 0 0 114 34.20 103.05 88.21 3063.12 0 0 0 0 0 1 0 0 0 0 0 115 33.63 103.27 87.98 3012.71 0 0 0 0 0 0 1 0 0 0 0 116 33.84 106.32 91.25 3021.64 0 0 0 0 0 0 0 1 0 0 0 117 34.41 106.71 91.59 3090.90 0 0 0 0 0 0 0 0 1 0 0 118 34.84 107.55 92.44 3114.22 0 0 0 0 0 0 0 0 0 1 0 119 35.20 105.54 90.19 3126.52 0 0 0 0 0 0 0 0 0 0 1 120 35.30 103.58 89.34 3117.92 0 0 0 0 0 0 0 0 0 0 0 121 34.80 103.13 88.52 3066.19 1 0 0 0 0 0 0 0 0 0 0 122 35.43 101.66 87.50 3087.62 0 1 0 0 0 0 0 0 0 0 0 123 34.88 102.69 87.07 3032.45 0 0 1 0 0 0 0 0 0 0 0 124 34.81 100.66 85.66 3030.04 0 0 0 1 0 0 0 0 0 0 0 125 34.83 100.68 86.00 3046.91 0 0 0 0 1 0 0 0 0 0 0 126 34.70 97.92 84.33 3042.76 0 0 0 0 0 1 0 0 0 0 0 127 34.59 100.28 85.17 3051.69 0 0 0 0 0 0 1 0 0 0 0 128 34.77 98.30 84.36 3071.16 0 0 0 0 0 0 0 1 0 0 0 129 34.80 97.83 84.06 3058.44 0 0 0 0 0 0 0 0 1 0 0 130 34.32 100.03 86.92 2986.10 0 0 0 0 0 0 0 0 0 1 0 131 33.96 99.72 86.88 2954.49 0 0 0 0 0 0 0 0 0 0 1 132 34.00 100.65 87.68 2950.47 0 0 0 0 0 0 0 0 0 0 0 133 34.77 97.35 83.35 3017.01 1 0 0 0 0 0 0 0 0 0 0 134 34.53 97.38 84.56 3015.58 0 1 0 0 0 0 0 0 0 0 0 135 35.20 97.62 85.02 3084.70 0 0 1 0 0 0 0 0 0 0 0 136 35.06 92.00 78.39 3042.97 0 0 0 1 0 0 0 0 0 0 0 137 35.18 93.78 80.41 3047.94 0 0 0 0 1 0 0 0 0 0 0 138 35.00 93.19 79.43 3038.25 0 0 0 0 0 1 0 0 0 0 0 139 34.49 91.36 79.30 3003.27 0 0 0 0 0 0 1 0 0 0 0 140 35.15 91.34 80.05 3084.09 0 0 0 0 0 0 0 1 0 0 0 141 34.59 91.39 80.11 3027.15 0 0 0 0 0 0 0 0 1 0 0 142 34.65 89.23 78.43 3008.00 0 0 0 0 0 0 0 0 0 1 0 143 34.59 92.66 80.75 3011.99 0 0 0 0 0 0 0 0 0 0 1 144 34.92 95.76 84.31 3048.67 0 0 0 0 0 0 0 0 0 0 0 145 34.37 95.73 83.45 3039.27 1 0 0 0 0 0 0 0 0 0 0 146 34.47 98.66 85.11 3057.99 0 1 0 0 0 0 0 0 0 0 0 147 35.13 97.53 84.05 3129.77 0 0 1 0 0 0 0 0 0 0 0 148 35.15 97.81 84.30 3130.17 0 0 0 1 0 0 0 0 0 0 0 149 34.48 96.56 82.59 3118.65 0 0 0 0 1 0 0 0 0 0 0 150 34.91 97.16 83.08 3124.80 0 0 0 0 0 1 0 0 0 0 0 151 35.95 96.25 81.50 3214.22 0 0 0 0 0 0 1 0 0 0 0 152 35.52 101.86 86.44 3161.97 0 0 0 0 0 0 0 1 0 0 0 153 36.16 99.95 84.46 3223.36 0 0 0 0 0 0 0 0 1 0 0 154 36.15 99.17 83.92 3226.33 0 0 0 0 0 0 0 0 0 1 0 155 36.07 100.92 85.39 3212.80 0 0 0 0 0 0 0 0 0 0 1 156 36.50 98.65 84.40 3266.27 0 0 0 0 0 0 0 0 0 0 0 157 36.51 98.97 84.42 3229.32 1 0 0 0 0 0 0 0 0 0 0 158 36.23 97.83 82.46 3233.46 0 1 0 0 0 0 0 0 0 0 0 159 35.91 98.75 83.28 3169.32 0 0 1 0 0 0 0 0 0 0 0 160 35.56 101.63 86.57 3098.37 0 0 0 1 0 0 0 0 0 0 0 161 36.45 103.15 87.70 3188.58 0 0 0 0 1 0 0 0 0 0 0 162 36.34 106.88 90.72 3174.02 0 0 0 0 0 1 0 0 0 0 0 163 37.32 107.28 91.06 3240.29 0 0 0 0 0 0 1 0 0 0 0 164 37.47 106.98 91.32 3292.51 0 0 0 0 0 0 0 1 0 0 0 165 36.98 106.75 90.75 3205.28 0 0 0 0 0 0 0 0 1 0 0 166 36.42 106.84 90.83 3189.09 0 0 0 0 0 0 0 0 0 1 0 167 37.04 106.16 90.28 3269.79 0 0 0 0 0 0 0 0 0 0 1 168 37.15 108.22 91.52 3237.69 0 0 0 0 0 0 0 0 0 0 0 169 37.13 109.28 93.22 3217.60 1 0 0 0 0 0 0 0 0 0 0 170 38.21 106.92 91.56 3319.81 0 1 0 0 0 0 0 0 0 0 0 171 37.91 107.14 91.32 3313.47 0 0 1 0 0 0 0 0 0 0 0 172 38.40 106.86 92.61 3406.78 0 0 0 1 0 0 0 0 0 0 0 173 39.12 109.34 92.94 3462.91 0 0 0 0 1 0 0 0 0 0 0 174 38.05 111.03 93.32 3423.81 0 0 0 0 0 1 0 0 0 0 0 175 37.83 110.33 94.28 3381.12 0 0 0 0 0 0 1 0 0 0 0 176 38.02 111.43 95.50 3430.15 0 0 0 0 0 0 0 1 0 0 0 177 38.43 112.06 95.65 3469.59 0 0 0 0 0 0 0 0 1 0 0 178 40.94 112.24 96.19 3501.98 0 0 0 0 0 0 0 0 0 1 0 179 40.75 112.70 96.43 3476.18 0 0 0 0 0 0 0 0 0 0 1 180 41.06 113.23 97.11 3472.46 0 0 0 0 0 0 0 0 0 0 0 181 41.69 113.44 98.08 3530.00 1 0 0 0 0 0 0 0 0 0 0 182 41.73 111.25 96.27 3530.83 0 1 0 0 0 0 0 0 0 0 0 183 42.34 113.47 98.55 3577.88 0 0 1 0 0 0 0 0 0 0 0 184 42.54 115.98 102.56 3594.83 0 0 0 1 0 0 0 0 0 0 0 185 42.50 118.33 105.28 3580.21 0 0 0 0 1 0 0 0 0 0 0 186 42.78 119.72 105.84 3564.51 0 0 0 0 0 1 0 0 0 0 0 187 42.65 119.42 104.84 3550.16 0 0 0 0 0 0 1 0 0 0 0 188 42.00 119.53 104.80 3490.06 0 0 0 0 0 0 0 1 0 0 0 189 42.30 119.64 104.78 3487.48 0 0 0 0 0 0 0 0 1 0 0 190 42.02 119.17 104.02 3478.36 0 0 0 0 0 0 0 0 0 1 0 191 41.52 118.45 103.75 3392.33 0 0 0 0 0 0 0 0 0 0 1 192 41.77 118.71 103.10 3362.00 0 0 0 0 0 0 0 0 0 0 0 193 42.43 118.81 103.86 3487.54 1 0 0 0 0 0 0 0 0 0 0 194 42.43 118.85 104.08 3501.17 0 1 0 0 0 0 0 0 0 0 0 195 42.48 118.12 103.00 3499.73 0 0 1 0 0 0 0 0 0 0 0 196 42.01 118.14 103.22 3452.45 0 0 0 1 0 0 0 0 0 0 0 197 41.99 118.71 104.77 3453.99 0 0 0 0 1 0 0 0 0 0 0 198 42.01 118.44 103.61 3441.45 0 0 0 0 0 1 0 0 0 0 0 199 42.05 120.48 102.83 3467.03 0 0 0 0 0 0 1 0 0 0 0 200 41.84 121.39 102.86 3447.31 0 0 0 0 0 0 0 1 0 0 0 201 41.79 121.52 103.83 3447.37 0 0 0 0 0 0 0 0 1 0 0 202 41.82 119.79 102.62 3465.24 0 0 0 0 0 0 0 0 0 1 0 203 41.87 119.39 100.95 3472.54 0 0 0 0 0 0 0 0 0 0 1 204 41.66 121.97 102.34 3439.62 0 0 0 0 0 0 0 0 0 0 0 205 41.19 121.72 102.19 3393.25 1 0 0 0 0 0 0 0 0 0 0 206 40.99 123.30 103.25 3390.35 0 1 0 0 0 0 0 0 0 0 0 207 41.15 122.69 102.08 3375.64 0 0 1 0 0 0 0 0 0 0 0 208 40.95 124.98 103.98 3384.55 0 0 0 1 0 0 0 0 0 0 0 209 40.67 125.37 104.92 3373.14 0 0 0 0 1 0 0 0 0 0 0 210 41.10 123.42 103.44 3424.71 0 0 0 0 0 1 0 0 0 0 0 211 40.88 122.92 102.97 3410.00 0 0 0 0 0 0 1 0 0 0 0 212 40.93 122.56 103.30 3411.54 0 0 0 0 0 0 0 1 0 0 0 213 40.89 124.31 105.56 3405.27 0 0 0 0 0 0 0 0 1 0 0 214 40.97 125.20 106.89 3427.92 0 0 0 0 0 0 0 0 0 1 0 215 40.87 125.73 107.05 3376.66 0 0 0 0 0 0 0 0 0 0 1 216 40.56 124.94 106.74 3367.46 0 0 0 0 0 0 0 0 0 0 0 217 40.47 125.11 106.80 3298.55 1 0 0 0 0 0 0 0 0 0 0 218 40.01 123.32 105.66 3265.64 0 1 0 0 0 0 0 0 0 0 0 219 40.23 124.07 106.93 3318.76 0 0 1 0 0 0 0 0 0 0 0 220 40.45 124.05 106.39 3360.70 0 0 0 1 0 0 0 0 0 0 0 221 40.30 125.28 108.19 3312.48 0 0 0 0 1 0 0 0 0 0 0 222 40.38 125.95 107.86 3322.65 0 0 0 0 0 1 0 0 0 0 0 223 39.95 126.06 107.22 3338.42 0 0 0 0 0 0 1 0 0 0 0 224 39.74 122.73 105.50 3321.50 0 0 0 0 0 0 0 1 0 0 0 225 40.37 124.47 105.66 3328.94 0 0 0 0 0 0 0 0 1 0 0 226 40.05 125.61 106.85 3264.93 0 0 0 0 0 0 0 0 0 1 0 227 40.14 125.05 106.62 3269.99 0 0 0 0 0 0 0 0 0 0 1 228 39.42 125.05 107.13 3225.00 0 0 0 0 0 0 0 0 0 0 0 229 38.97 125.94 107.42 3196.49 1 0 0 0 0 0 0 0 0 0 0 230 39.06 125.57 106.89 3199.98 0 1 0 0 0 0 0 0 0 0 0 231 39.86 124.25 106.14 3204.83 0 0 1 0 0 0 0 0 0 0 0 232 40.49 122.19 104.94 3210.79 0 0 0 1 0 0 0 0 0 0 0 233 39.99 124.20 107.17 3144.64 0 0 0 0 1 0 0 0 0 0 0 234 39.94 123.59 106.85 3137.36 0 0 0 0 0 1 0 0 0 0 0 235 39.97 123.63 106.58 3144.91 0 0 0 0 0 0 1 0 0 0 0 236 40.21 125.96 108.94 3193.65 0 0 0 0 0 0 0 1 0 0 0 237 40.39 122.95 107.03 3245.40 0 0 0 0 0 0 0 0 1 0 0 238 39.95 121.77 106.61 3222.30 0 0 0 0 0 0 0 0 0 1 0 239 39.46 123.38 107.97 3159.81 0 0 0 0 0 0 0 0 0 0 1 240 39.07 125.28 109.59 3127.56 0 0 0 0 0 0 0 0 0 0 0 241 38.64 125.31 109.70 3071.08 1 0 0 0 0 0 0 0 0 0 0 242 38.96 124.12 108.58 3103.11 0 1 0 0 0 0 0 0 0 0 0 243 38.57 122.64 105.96 3102.09 0 0 1 0 0 0 0 0 0 0 0 244 37.84 121.50 106.00 3069.30 0 0 0 1 0 0 0 0 0 0 0 245 37.36 120.03 105.03 3030.47 0 0 0 0 1 0 0 0 0 0 0 246 37.08 120.73 105.14 3055.39 0 0 0 0 0 1 0 0 0 0 0 247 36.45 119.76 104.28 2974.20 0 0 0 0 0 0 1 0 0 0 0 248 37.02 120.06 102.58 2972.30 0 0 0 0 0 0 0 1 0 0 0 249 37.68 119.04 102.20 2998.73 0 0 0 0 0 0 0 0 1 0 0 250 37.67 117.49 101.25 2976.17 0 0 0 0 0 0 0 0 0 1 0 251 38.55 117.23 100.92 3078.72 0 0 0 0 0 0 0 0 0 0 1 252 38.16 117.41 99.64 3089.59 0 0 0 0 0 0 0 0 0 0 0 253 38.96 117.66 99.02 3172.35 1 0 0 0 0 0 0 0 0 0 0 254 38.05 118.66 99.72 3095.49 0 1 0 0 0 0 0 0 0 0 0 255 38.77 117.83 98.97 3175.98 0 0 1 0 0 0 0 0 0 0 0 256 38.76 116.05 98.72 3179.63 0 0 0 1 0 0 0 0 0 0 0 257 38.86 116.46 97.19 3201.28 0 0 0 0 1 0 0 0 0 0 0 258 38.49 114.94 97.69 3164.95 0 0 0 0 0 1 0 0 0 0 0 259 38.29 114.66 97.83 3129.95 0 0 0 0 0 0 1 0 0 0 0 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Brent WTI Cac40 M1 M2 -8.35563 -0.05700 0.21361 0.01002 -0.09337 -0.10228 M3 M4 M5 M6 M7 M8 -0.04607 -0.08091 -0.14676 -0.16190 -0.15579 -0.24662 M9 M10 M11 -0.18256 -0.01422 0.03916 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.83860 -0.46613 0.03375 0.52965 1.50763 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -8.3556333 1.0076026 -8.293 7.5e-15 *** Brent -0.0569987 0.0190012 -3.000 0.00298 ** WTI 0.2136096 0.0191123 11.177 < 2e-16 *** Cac40 0.0100191 0.0003297 30.391 < 2e-16 *** M1 -0.0933746 0.2253856 -0.414 0.67903 M2 -0.1022809 0.2255670 -0.453 0.65064 M3 -0.0460718 0.2255882 -0.204 0.83834 M4 -0.0809117 0.2254306 -0.359 0.71996 M5 -0.1467633 0.2254120 -0.651 0.51560 M6 -0.1618962 0.2253767 -0.718 0.47324 M7 -0.1557903 0.2253354 -0.691 0.48999 M8 -0.2466179 0.2280179 -1.082 0.28051 M9 -0.1825585 0.2280384 -0.801 0.42417 M10 -0.0142232 0.2279613 -0.062 0.95030 M11 0.0391640 0.2279541 0.172 0.86373 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.7385 on 244 degrees of freedom Multiple R-squared: 0.9047, Adjusted R-squared: 0.8993 F-statistic: 165.5 on 14 and 244 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,] 0.035872656 0.071745313 0.964127344 [2,] 0.009318809 0.018637618 0.990681191 [3,] 0.014924888 0.029849777 0.985075112 [4,] 0.012204051 0.024408102 0.987795949 [5,] 0.006719071 0.013438142 0.993280929 [6,] 0.002821307 0.005642614 0.997178693 [7,] 0.023685479 0.047370958 0.976314521 [8,] 0.015246680 0.030493360 0.984753320 [9,] 0.007418344 0.014836688 0.992581656 [10,] 0.003479515 0.006959029 0.996520485 [11,] 0.003720403 0.007440806 0.996279597 [12,] 0.005877635 0.011755270 0.994122365 [13,] 0.007963033 0.015926065 0.992036967 [14,] 0.007519952 0.015039903 0.992480048 [15,] 0.004999396 0.009998792 0.995000604 [16,] 0.003337080 0.006674161 0.996662920 [17,] 0.004200907 0.008401815 0.995799093 [18,] 0.002772435 0.005544871 0.997227565 [19,] 0.001528005 0.003056010 0.998471995 [20,] 0.002192673 0.004385345 0.997807327 [21,] 0.008689376 0.017378752 0.991310624 [22,] 0.008687183 0.017374365 0.991312817 [23,] 0.010122860 0.020245719 0.989877140 [24,] 0.007765442 0.015530885 0.992234558 [25,] 0.005824961 0.011649921 0.994175039 [26,] 0.004385997 0.008771994 0.995614003 [27,] 0.002879021 0.005758042 0.997120979 [28,] 0.002935790 0.005871580 0.997064210 [29,] 0.003439259 0.006878518 0.996560741 [30,] 0.002953802 0.005907605 0.997046198 [31,] 0.008335172 0.016670343 0.991664828 [32,] 0.029639501 0.059279003 0.970360499 [33,] 0.154875679 0.309751358 0.845124321 [34,] 0.320294367 0.640588735 0.679705633 [35,] 0.419109441 0.838218882 0.580890559 [36,] 0.531204552 0.937590896 0.468795448 [37,] 0.611122122 0.777755756 0.388877878 [38,] 0.598857291 0.802285418 0.401142709 [39,] 0.615290829 0.769418342 0.384709171 [40,] 0.616572332 0.766855335 0.383427668 [41,] 0.602849804 0.794300392 0.397150196 [42,] 0.594250516 0.811498969 0.405749484 [43,] 0.590354083 0.819291835 0.409645917 [44,] 0.569053486 0.861893029 0.430946514 [45,] 0.533959124 0.932081752 0.466040876 [46,] 0.496742773 0.993485546 0.503257227 [47,] 0.472029574 0.944059148 0.527970426 [48,] 0.467881011 0.935762022 0.532118989 [49,] 0.485696613 0.971393226 0.514303387 [50,] 0.489079701 0.978159401 0.510920299 [51,] 0.486717080 0.973434161 0.513282920 [52,] 0.503392287 0.993215426 0.496607713 [53,] 0.565354981 0.869290037 0.434645019 [54,] 0.575383624 0.849232751 0.424616376 [55,] 0.580778705 0.838442590 0.419221295 [56,] 0.543167463 0.913665074 0.456832537 [57,] 0.503144881 0.993710237 0.496855119 [58,] 0.460982086 0.921964173 0.539017914 [59,] 0.428815867 0.857631733 0.571184133 [60,] 0.390896721 0.781793441 0.609103279 [61,] 0.358346291 0.716692582 0.641653709 [62,] 0.323946490 0.647892979 0.676053510 [63,] 0.290759781 0.581519561 0.709240219 [64,] 0.258387945 0.516775890 0.741612055 [65,] 0.231389047 0.462778094 0.768610953 [66,] 0.205921122 0.411842245 0.794078878 [67,] 0.187632290 0.375264581 0.812367710 [68,] 0.163576383 0.327152765 0.836423617 [69,] 0.149744456 0.299488912 0.850255544 [70,] 0.129491664 0.258983328 0.870508336 [71,] 0.113575340 0.227150680 0.886424660 [72,] 0.105332491 0.210664983 0.894667509 [73,] 0.096754517 0.193509035 0.903245483 [74,] 0.121069135 0.242138270 0.878930865 [75,] 0.114204714 0.228409428 0.885795286 [76,] 0.140422405 0.280844810 0.859577595 [77,] 0.144311904 0.288623809 0.855688096 [78,] 0.141056955 0.282113910 0.858943045 [79,] 0.128402834 0.256805668 0.871597166 [80,] 0.118654973 0.237309946 0.881345027 [81,] 0.118742185 0.237484370 0.881257815 [82,] 0.111413540 0.222827080 0.888586460 [83,] 0.107926025 0.215852050 0.892073975 [84,] 0.100651555 0.201303110 0.899348445 [85,] 0.094091242 0.188182483 0.905908758 [86,] 0.085096844 0.170193688 0.914903156 [87,] 0.071612105 0.143224210 0.928387895 [88,] 0.064057100 0.128114199 0.935942900 [89,] 0.053276788 0.106553576 0.946723212 [90,] 0.044557866 0.089115732 0.955442134 [91,] 0.038921582 0.077843163 0.961078418 [92,] 0.034080464 0.068160928 0.965919536 [93,] 0.028933542 0.057867084 0.971066458 [94,] 0.041624851 0.083249703 0.958375149 [95,] 0.054807756 0.109615512 0.945192244 [96,] 0.059694269 0.119388537 0.940305731 [97,] 0.063194985 0.126389970 0.936805015 [98,] 0.068229060 0.136458119 0.931770940 [99,] 0.084724463 0.169448926 0.915275537 [100,] 0.132402041 0.264804082 0.867597959 [101,] 0.213154872 0.426309744 0.786845128 [102,] 0.238947537 0.477895075 0.761052463 [103,] 0.239054387 0.478108775 0.760945613 [104,] 0.246013163 0.492026326 0.753986837 [105,] 0.251525175 0.503050350 0.748474825 [106,] 0.282448314 0.564896628 0.717551686 [107,] 0.288938640 0.577877280 0.711061360 [108,] 0.275297665 0.550595329 0.724702335 [109,] 0.252684138 0.505368275 0.747315862 [110,] 0.231244227 0.462488453 0.768755773 [111,] 0.203747942 0.407495885 0.796252058 [112,] 0.179735793 0.359471586 0.820264207 [113,] 0.166428366 0.332856732 0.833571634 [114,] 0.157445158 0.314890316 0.842554842 [115,] 0.149977930 0.299955859 0.850022070 [116,] 0.152333994 0.304667987 0.847666006 [117,] 0.137271943 0.274543886 0.862728057 [118,] 0.120482478 0.240964955 0.879517522 [119,] 0.147416456 0.294832913 0.852583544 [120,] 0.169429887 0.338859774 0.830570113 [121,] 0.208094739 0.416189477 0.791905261 [122,] 0.215558228 0.431116455 0.784441772 [123,] 0.231479576 0.462959152 0.768520424 [124,] 0.231933130 0.463866260 0.768066870 [125,] 0.267697654 0.535395308 0.732302346 [126,] 0.266012420 0.532024840 0.733987580 [127,] 0.244143830 0.488287659 0.755856170 [128,] 0.218800327 0.437600655 0.781199673 [129,] 0.199343018 0.398686035 0.800656982 [130,] 0.186818223 0.373636445 0.813181777 [131,] 0.176680576 0.353361151 0.823319424 [132,] 0.183833325 0.367666651 0.816166675 [133,] 0.170365697 0.340731394 0.829634303 [134,] 0.164997308 0.329994615 0.835002692 [135,] 0.147347444 0.294694889 0.852652556 [136,] 0.133705450 0.267410900 0.866294550 [137,] 0.125640618 0.251281237 0.874359382 [138,] 0.117570695 0.235141389 0.882429305 [139,] 0.120766546 0.241533091 0.879233454 [140,] 0.104716756 0.209433513 0.895283244 [141,] 0.090633726 0.181267452 0.909366274 [142,] 0.078029191 0.156058382 0.921970809 [143,] 0.068000135 0.136000271 0.931999865 [144,] 0.057606588 0.115213177 0.942393412 [145,] 0.048172350 0.096344700 0.951827650 [146,] 0.040169284 0.080338568 0.959830716 [147,] 0.033431174 0.066862347 0.966568826 [148,] 0.027944660 0.055889320 0.972055340 [149,] 0.024462725 0.048925450 0.975537275 [150,] 0.024671721 0.049343442 0.975328279 [151,] 0.021360106 0.042720212 0.978639894 [152,] 0.020086100 0.040172200 0.979913900 [153,] 0.016254206 0.032508413 0.983745794 [154,] 0.014689573 0.029379145 0.985310427 [155,] 0.024784685 0.049569371 0.975215315 [156,] 0.028782235 0.057564469 0.971217765 [157,] 0.080513358 0.161026715 0.919486642 [158,] 0.210214772 0.420429543 0.789785228 [159,] 0.650370185 0.699259630 0.349629815 [160,] 0.985826752 0.028346496 0.014173248 [161,] 0.986819213 0.026361575 0.013180787 [162,] 0.990005198 0.019989605 0.009994802 [163,] 0.990281714 0.019436573 0.009718286 [164,] 0.990474895 0.019050210 0.009525105 [165,] 0.990033341 0.019933317 0.009966659 [166,] 0.989740740 0.020518519 0.010259260 [167,] 0.990226636 0.019546729 0.009773364 [168,] 0.991383543 0.017232913 0.008616457 [169,] 0.989701579 0.020596842 0.010298421 [170,] 0.987671060 0.024657880 0.012328940 [171,] 0.986737956 0.026524089 0.013262044 [172,] 0.985884261 0.028231477 0.014115739 [173,] 0.983484825 0.033030350 0.016515175 [174,] 0.983170892 0.033658215 0.016829108 [175,] 0.992637211 0.014725578 0.007362789 [176,] 0.991671358 0.016657284 0.008328642 [177,] 0.989937468 0.020125063 0.010062532 [178,] 0.988307353 0.023385294 0.011692647 [179,] 0.986616536 0.026766928 0.013383464 [180,] 0.983305208 0.033389585 0.016694792 [181,] 0.983569529 0.032860941 0.016430471 [182,] 0.986087347 0.027825307 0.013912653 [183,] 0.988383797 0.023232405 0.011616203 [184,] 0.987075348 0.025849304 0.012924652 [185,] 0.984171725 0.031656550 0.015828275 [186,] 0.981661043 0.036677913 0.018338957 [187,] 0.983180419 0.033639163 0.016819581 [188,] 0.984265587 0.031468826 0.015734413 [189,] 0.982659605 0.034680790 0.017340395 [190,] 0.985017123 0.029965754 0.014982877 [191,] 0.981597351 0.036805298 0.018402649 [192,] 0.976466710 0.047066580 0.023533290 [193,] 0.969524718 0.060950564 0.030475282 [194,] 0.961094965 0.077810070 0.038905035 [195,] 0.950246891 0.099506218 0.049753109 [196,] 0.936837547 0.126324905 0.063162453 [197,] 0.927903485 0.144193030 0.072096515 [198,] 0.910336798 0.179326404 0.089663202 [199,] 0.885280140 0.229439719 0.114719860 [200,] 0.863701029 0.272597941 0.136298971 [201,] 0.837719846 0.324560308 0.162280154 [202,] 0.802892511 0.394214978 0.197107489 [203,] 0.776341166 0.447317669 0.223658834 [204,] 0.737207928 0.525584144 0.262792072 [205,] 0.686662655 0.626674690 0.313337345 [206,] 0.703358793 0.593282413 0.296641207 [207,] 0.740050166 0.519899668 0.259949834 [208,] 0.742661446 0.514677108 0.257338554 [209,] 0.744531858 0.510936285 0.255468142 [210,] 0.759261817 0.481476365 0.240738183 [211,] 0.769487991 0.461024018 0.230512009 [212,] 0.871812099 0.256375802 0.128187901 [213,] 0.962430824 0.075138353 0.037569176 [214,] 0.947584537 0.104830927 0.052415463 [215,] 0.940840026 0.118319948 0.059159974 [216,] 0.940172442 0.119655115 0.059827558 [217,] 0.974262848 0.051474304 0.025737152 [218,] 0.997135759 0.005728483 0.002864241 [219,] 0.998204849 0.003590302 0.001795151 [220,] 0.994780584 0.010438831 0.005219416 [221,] 0.998065083 0.003869834 0.001934917 [222,] 0.996725610 0.006548779 0.003274390 [223,] 0.991483623 0.017032753 0.008516377 [224,] 0.976584635 0.046830731 0.023415365 > postscript(file="/var/wessaorg/rcomp/tmp/1rlsr1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2jqlh1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3y82o1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4bg0n1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5mtl51356041673.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 = 259 Frequency = 1 1 2 3 4 5 6 -1.406928863 -1.367993810 -1.458288774 -0.963853874 -0.866607411 -0.457752062 7 8 9 10 11 12 -0.691699889 -0.628216670 -0.593182151 -0.400629708 -0.326881541 -0.505246496 13 14 15 16 17 18 -0.649391104 -0.557206518 -0.376503958 -0.100492599 -0.123021296 -0.119006605 19 20 21 22 23 24 0.023669850 0.447286399 0.679606025 0.758610144 0.609967122 0.294248480 25 26 27 28 29 30 0.597859360 0.593891816 0.602170441 0.289822440 0.628506684 0.739431568 31 32 33 34 35 36 0.965018333 0.955799701 0.799619644 0.804110459 0.611518614 0.239665035 37 38 39 40 41 42 -0.183143442 0.045086827 -0.177382846 -0.409970491 -0.629357796 -0.756887093 43 44 45 46 47 48 -0.403700213 0.098879278 0.349405983 0.077723887 0.334833982 0.471948929 49 50 51 52 53 54 1.009797262 1.196538778 1.082950578 0.718867828 1.435596970 1.366232749 55 56 57 58 59 60 0.970322363 1.249072623 1.227185985 0.883495881 0.845787842 0.973940996 61 62 63 64 65 66 0.359837954 0.255955726 0.215994477 0.017994221 0.350651810 -0.130154330 67 68 69 70 71 72 -0.293761484 -0.634657195 -0.739513110 -1.143636920 -0.919453039 -0.835452224 73 74 75 76 77 78 -0.609540895 -0.504857582 -0.398853898 0.175584837 -0.042383505 0.033746005 79 80 81 82 83 84 -0.107507515 0.017889559 -0.083985924 0.135725106 -0.216279300 -0.330093503 85 86 87 88 89 90 -0.408431801 -0.881832163 -0.542877960 -0.576422930 -1.027245333 -1.001152885 91 92 93 94 95 96 -1.376444848 -0.957124461 -1.534762661 -1.512868656 -1.290167819 -0.836210941 97 98 99 100 101 102 -0.917082063 -1.143836926 -0.952161035 -1.044912421 -0.895947316 -0.882903075 103 104 105 106 107 108 -0.652053434 -0.298192850 -0.618627527 0.037867022 -0.294626041 -0.260812393 109 110 111 112 113 114 -0.477878233 -0.428888465 -1.261731356 -1.132895051 -1.032300090 -0.941082764 115 116 117 118 119 120 -0.950453936 -1.263754533 -1.502137329 -1.607808213 -1.058376701 -0.763197421 121 122 123 124 125 126 -0.502022213 0.056267509 0.153375276 0.327843409 0.173184791 0.299308697 127 128 129 130 131 132 0.048816774 0.184738009 0.315415551 -0.093661442 -0.199468888 -0.197906771 133 134 135 136 137 138 0.735628092 0.262104016 0.098791293 1.507628744 1.313651520 1.421578101 139 140 141 142 143 144 1.179403207 0.959136730 0.895600529 1.214878631 0.761446399 0.179354237 145 146 147 148 149 150 -0.001096896 -0.267334611 -0.220699903 -0.207310423 -0.402014336 -0.088968572 151 152 153 154 155 156 0.334648310 -0.216492579 0.058452466 -0.078749511 -0.290836123 -0.275309129 157 158 159 160 161 162 0.212240139 0.253363424 0.397060987 0.254139596 0.151423764 -0.230060352 163 164 165 166 167 168 0.030037505 -0.324972500 0.103585464 -0.474498846 -0.637704540 -0.314384621 169 170 171 172 173 174 -0.342443147 -0.057518284 -0.286399938 -0.987962066 -0.693619112 -1.341581569 175 176 177 178 179 180 -1.384934798 -1.793250740 -1.838597253 0.073458074 0.063517764 0.334907796 181 182 183 184 185 186 0.286549518 0.588946030 0.310843731 -0.337648534 -0.612388255 -0.200347945 187 188 189 190 191 192 0.003830754 0.061622932 0.333954973 0.112548127 0.437743010 1.184453495 193 194 195 196 197 198 0.523381852 0.351013041 0.548320875 0.541011567 0.272828033 0.665998493 199 200 201 202 203 204 0.726495878 0.850361504 0.535909463 0.378391938 0.635793550 0.644927068 205 206 207 208 209 210 0.750680987 0.452274547 0.918601084 0.388839284 0.110445709 0.243886287 211 212 213 214 215 216 0.237059028 0.271446442 -0.152802887 -0.701443628 -0.345217950 -0.502687849 217 218 219 220 221 222 0.187978939 0.208102288 -0.388858629 -0.440012249 -0.355426607 -0.253507983 223 224 225 226 227 228 -0.704635761 -0.476681570 0.079716911 0.043489880 0.046616710 -0.292399048 229 230 231 232 233 234 -0.374596634 -0.218533634 0.561633373 1.305673321 1.172509029 1.244167156 235 236 237 238 239 240 1.252371237 0.723554334 0.557432595 0.202996946 0.086964665 -0.178504001 241 242 243 244 245 246 0.028964571 0.208372020 0.247681574 -0.192473887 -0.094165929 -0.592307893 247 248 249 250 251 252 -0.286544379 0.773555583 1.127723251 1.290000831 1.144822283 0.968758360 253 254 255 256 257 258 1.179636620 0.956085969 0.926334608 0.866549278 1.165678675 0.981364072 259 1.080063018 > postscript(file="/var/wessaorg/rcomp/tmp/6knks1356041673.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 = 259 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.406928863 NA 1 -1.367993810 -1.406928863 2 -1.458288774 -1.367993810 3 -0.963853874 -1.458288774 4 -0.866607411 -0.963853874 5 -0.457752062 -0.866607411 6 -0.691699889 -0.457752062 7 -0.628216670 -0.691699889 8 -0.593182151 -0.628216670 9 -0.400629708 -0.593182151 10 -0.326881541 -0.400629708 11 -0.505246496 -0.326881541 12 -0.649391104 -0.505246496 13 -0.557206518 -0.649391104 14 -0.376503958 -0.557206518 15 -0.100492599 -0.376503958 16 -0.123021296 -0.100492599 17 -0.119006605 -0.123021296 18 0.023669850 -0.119006605 19 0.447286399 0.023669850 20 0.679606025 0.447286399 21 0.758610144 0.679606025 22 0.609967122 0.758610144 23 0.294248480 0.609967122 24 0.597859360 0.294248480 25 0.593891816 0.597859360 26 0.602170441 0.593891816 27 0.289822440 0.602170441 28 0.628506684 0.289822440 29 0.739431568 0.628506684 30 0.965018333 0.739431568 31 0.955799701 0.965018333 32 0.799619644 0.955799701 33 0.804110459 0.799619644 34 0.611518614 0.804110459 35 0.239665035 0.611518614 36 -0.183143442 0.239665035 37 0.045086827 -0.183143442 38 -0.177382846 0.045086827 39 -0.409970491 -0.177382846 40 -0.629357796 -0.409970491 41 -0.756887093 -0.629357796 42 -0.403700213 -0.756887093 43 0.098879278 -0.403700213 44 0.349405983 0.098879278 45 0.077723887 0.349405983 46 0.334833982 0.077723887 47 0.471948929 0.334833982 48 1.009797262 0.471948929 49 1.196538778 1.009797262 50 1.082950578 1.196538778 51 0.718867828 1.082950578 52 1.435596970 0.718867828 53 1.366232749 1.435596970 54 0.970322363 1.366232749 55 1.249072623 0.970322363 56 1.227185985 1.249072623 57 0.883495881 1.227185985 58 0.845787842 0.883495881 59 0.973940996 0.845787842 60 0.359837954 0.973940996 61 0.255955726 0.359837954 62 0.215994477 0.255955726 63 0.017994221 0.215994477 64 0.350651810 0.017994221 65 -0.130154330 0.350651810 66 -0.293761484 -0.130154330 67 -0.634657195 -0.293761484 68 -0.739513110 -0.634657195 69 -1.143636920 -0.739513110 70 -0.919453039 -1.143636920 71 -0.835452224 -0.919453039 72 -0.609540895 -0.835452224 73 -0.504857582 -0.609540895 74 -0.398853898 -0.504857582 75 0.175584837 -0.398853898 76 -0.042383505 0.175584837 77 0.033746005 -0.042383505 78 -0.107507515 0.033746005 79 0.017889559 -0.107507515 80 -0.083985924 0.017889559 81 0.135725106 -0.083985924 82 -0.216279300 0.135725106 83 -0.330093503 -0.216279300 84 -0.408431801 -0.330093503 85 -0.881832163 -0.408431801 86 -0.542877960 -0.881832163 87 -0.576422930 -0.542877960 88 -1.027245333 -0.576422930 89 -1.001152885 -1.027245333 90 -1.376444848 -1.001152885 91 -0.957124461 -1.376444848 92 -1.534762661 -0.957124461 93 -1.512868656 -1.534762661 94 -1.290167819 -1.512868656 95 -0.836210941 -1.290167819 96 -0.917082063 -0.836210941 97 -1.143836926 -0.917082063 98 -0.952161035 -1.143836926 99 -1.044912421 -0.952161035 100 -0.895947316 -1.044912421 101 -0.882903075 -0.895947316 102 -0.652053434 -0.882903075 103 -0.298192850 -0.652053434 104 -0.618627527 -0.298192850 105 0.037867022 -0.618627527 106 -0.294626041 0.037867022 107 -0.260812393 -0.294626041 108 -0.477878233 -0.260812393 109 -0.428888465 -0.477878233 110 -1.261731356 -0.428888465 111 -1.132895051 -1.261731356 112 -1.032300090 -1.132895051 113 -0.941082764 -1.032300090 114 -0.950453936 -0.941082764 115 -1.263754533 -0.950453936 116 -1.502137329 -1.263754533 117 -1.607808213 -1.502137329 118 -1.058376701 -1.607808213 119 -0.763197421 -1.058376701 120 -0.502022213 -0.763197421 121 0.056267509 -0.502022213 122 0.153375276 0.056267509 123 0.327843409 0.153375276 124 0.173184791 0.327843409 125 0.299308697 0.173184791 126 0.048816774 0.299308697 127 0.184738009 0.048816774 128 0.315415551 0.184738009 129 -0.093661442 0.315415551 130 -0.199468888 -0.093661442 131 -0.197906771 -0.199468888 132 0.735628092 -0.197906771 133 0.262104016 0.735628092 134 0.098791293 0.262104016 135 1.507628744 0.098791293 136 1.313651520 1.507628744 137 1.421578101 1.313651520 138 1.179403207 1.421578101 139 0.959136730 1.179403207 140 0.895600529 0.959136730 141 1.214878631 0.895600529 142 0.761446399 1.214878631 143 0.179354237 0.761446399 144 -0.001096896 0.179354237 145 -0.267334611 -0.001096896 146 -0.220699903 -0.267334611 147 -0.207310423 -0.220699903 148 -0.402014336 -0.207310423 149 -0.088968572 -0.402014336 150 0.334648310 -0.088968572 151 -0.216492579 0.334648310 152 0.058452466 -0.216492579 153 -0.078749511 0.058452466 154 -0.290836123 -0.078749511 155 -0.275309129 -0.290836123 156 0.212240139 -0.275309129 157 0.253363424 0.212240139 158 0.397060987 0.253363424 159 0.254139596 0.397060987 160 0.151423764 0.254139596 161 -0.230060352 0.151423764 162 0.030037505 -0.230060352 163 -0.324972500 0.030037505 164 0.103585464 -0.324972500 165 -0.474498846 0.103585464 166 -0.637704540 -0.474498846 167 -0.314384621 -0.637704540 168 -0.342443147 -0.314384621 169 -0.057518284 -0.342443147 170 -0.286399938 -0.057518284 171 -0.987962066 -0.286399938 172 -0.693619112 -0.987962066 173 -1.341581569 -0.693619112 174 -1.384934798 -1.341581569 175 -1.793250740 -1.384934798 176 -1.838597253 -1.793250740 177 0.073458074 -1.838597253 178 0.063517764 0.073458074 179 0.334907796 0.063517764 180 0.286549518 0.334907796 181 0.588946030 0.286549518 182 0.310843731 0.588946030 183 -0.337648534 0.310843731 184 -0.612388255 -0.337648534 185 -0.200347945 -0.612388255 186 0.003830754 -0.200347945 187 0.061622932 0.003830754 188 0.333954973 0.061622932 189 0.112548127 0.333954973 190 0.437743010 0.112548127 191 1.184453495 0.437743010 192 0.523381852 1.184453495 193 0.351013041 0.523381852 194 0.548320875 0.351013041 195 0.541011567 0.548320875 196 0.272828033 0.541011567 197 0.665998493 0.272828033 198 0.726495878 0.665998493 199 0.850361504 0.726495878 200 0.535909463 0.850361504 201 0.378391938 0.535909463 202 0.635793550 0.378391938 203 0.644927068 0.635793550 204 0.750680987 0.644927068 205 0.452274547 0.750680987 206 0.918601084 0.452274547 207 0.388839284 0.918601084 208 0.110445709 0.388839284 209 0.243886287 0.110445709 210 0.237059028 0.243886287 211 0.271446442 0.237059028 212 -0.152802887 0.271446442 213 -0.701443628 -0.152802887 214 -0.345217950 -0.701443628 215 -0.502687849 -0.345217950 216 0.187978939 -0.502687849 217 0.208102288 0.187978939 218 -0.388858629 0.208102288 219 -0.440012249 -0.388858629 220 -0.355426607 -0.440012249 221 -0.253507983 -0.355426607 222 -0.704635761 -0.253507983 223 -0.476681570 -0.704635761 224 0.079716911 -0.476681570 225 0.043489880 0.079716911 226 0.046616710 0.043489880 227 -0.292399048 0.046616710 228 -0.374596634 -0.292399048 229 -0.218533634 -0.374596634 230 0.561633373 -0.218533634 231 1.305673321 0.561633373 232 1.172509029 1.305673321 233 1.244167156 1.172509029 234 1.252371237 1.244167156 235 0.723554334 1.252371237 236 0.557432595 0.723554334 237 0.202996946 0.557432595 238 0.086964665 0.202996946 239 -0.178504001 0.086964665 240 0.028964571 -0.178504001 241 0.208372020 0.028964571 242 0.247681574 0.208372020 243 -0.192473887 0.247681574 244 -0.094165929 -0.192473887 245 -0.592307893 -0.094165929 246 -0.286544379 -0.592307893 247 0.773555583 -0.286544379 248 1.127723251 0.773555583 249 1.290000831 1.127723251 250 1.144822283 1.290000831 251 0.968758360 1.144822283 252 1.179636620 0.968758360 253 0.956085969 1.179636620 254 0.926334608 0.956085969 255 0.866549278 0.926334608 256 1.165678675 0.866549278 257 0.981364072 1.165678675 258 1.080063018 0.981364072 259 NA 1.080063018 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -1.367993810 -1.406928863 [2,] -1.458288774 -1.367993810 [3,] -0.963853874 -1.458288774 [4,] -0.866607411 -0.963853874 [5,] -0.457752062 -0.866607411 [6,] -0.691699889 -0.457752062 [7,] -0.628216670 -0.691699889 [8,] -0.593182151 -0.628216670 [9,] -0.400629708 -0.593182151 [10,] -0.326881541 -0.400629708 [11,] -0.505246496 -0.326881541 [12,] -0.649391104 -0.505246496 [13,] -0.557206518 -0.649391104 [14,] -0.376503958 -0.557206518 [15,] -0.100492599 -0.376503958 [16,] -0.123021296 -0.100492599 [17,] -0.119006605 -0.123021296 [18,] 0.023669850 -0.119006605 [19,] 0.447286399 0.023669850 [20,] 0.679606025 0.447286399 [21,] 0.758610144 0.679606025 [22,] 0.609967122 0.758610144 [23,] 0.294248480 0.609967122 [24,] 0.597859360 0.294248480 [25,] 0.593891816 0.597859360 [26,] 0.602170441 0.593891816 [27,] 0.289822440 0.602170441 [28,] 0.628506684 0.289822440 [29,] 0.739431568 0.628506684 [30,] 0.965018333 0.739431568 [31,] 0.955799701 0.965018333 [32,] 0.799619644 0.955799701 [33,] 0.804110459 0.799619644 [34,] 0.611518614 0.804110459 [35,] 0.239665035 0.611518614 [36,] -0.183143442 0.239665035 [37,] 0.045086827 -0.183143442 [38,] -0.177382846 0.045086827 [39,] -0.409970491 -0.177382846 [40,] -0.629357796 -0.409970491 [41,] -0.756887093 -0.629357796 [42,] -0.403700213 -0.756887093 [43,] 0.098879278 -0.403700213 [44,] 0.349405983 0.098879278 [45,] 0.077723887 0.349405983 [46,] 0.334833982 0.077723887 [47,] 0.471948929 0.334833982 [48,] 1.009797262 0.471948929 [49,] 1.196538778 1.009797262 [50,] 1.082950578 1.196538778 [51,] 0.718867828 1.082950578 [52,] 1.435596970 0.718867828 [53,] 1.366232749 1.435596970 [54,] 0.970322363 1.366232749 [55,] 1.249072623 0.970322363 [56,] 1.227185985 1.249072623 [57,] 0.883495881 1.227185985 [58,] 0.845787842 0.883495881 [59,] 0.973940996 0.845787842 [60,] 0.359837954 0.973940996 [61,] 0.255955726 0.359837954 [62,] 0.215994477 0.255955726 [63,] 0.017994221 0.215994477 [64,] 0.350651810 0.017994221 [65,] -0.130154330 0.350651810 [66,] -0.293761484 -0.130154330 [67,] -0.634657195 -0.293761484 [68,] -0.739513110 -0.634657195 [69,] -1.143636920 -0.739513110 [70,] -0.919453039 -1.143636920 [71,] -0.835452224 -0.919453039 [72,] -0.609540895 -0.835452224 [73,] -0.504857582 -0.609540895 [74,] -0.398853898 -0.504857582 [75,] 0.175584837 -0.398853898 [76,] -0.042383505 0.175584837 [77,] 0.033746005 -0.042383505 [78,] -0.107507515 0.033746005 [79,] 0.017889559 -0.107507515 [80,] -0.083985924 0.017889559 [81,] 0.135725106 -0.083985924 [82,] -0.216279300 0.135725106 [83,] -0.330093503 -0.216279300 [84,] -0.408431801 -0.330093503 [85,] -0.881832163 -0.408431801 [86,] -0.542877960 -0.881832163 [87,] -0.576422930 -0.542877960 [88,] -1.027245333 -0.576422930 [89,] -1.001152885 -1.027245333 [90,] -1.376444848 -1.001152885 [91,] -0.957124461 -1.376444848 [92,] -1.534762661 -0.957124461 [93,] -1.512868656 -1.534762661 [94,] -1.290167819 -1.512868656 [95,] -0.836210941 -1.290167819 [96,] -0.917082063 -0.836210941 [97,] -1.143836926 -0.917082063 [98,] -0.952161035 -1.143836926 [99,] -1.044912421 -0.952161035 [100,] -0.895947316 -1.044912421 [101,] -0.882903075 -0.895947316 [102,] -0.652053434 -0.882903075 [103,] -0.298192850 -0.652053434 [104,] -0.618627527 -0.298192850 [105,] 0.037867022 -0.618627527 [106,] -0.294626041 0.037867022 [107,] -0.260812393 -0.294626041 [108,] -0.477878233 -0.260812393 [109,] -0.428888465 -0.477878233 [110,] -1.261731356 -0.428888465 [111,] -1.132895051 -1.261731356 [112,] -1.032300090 -1.132895051 [113,] -0.941082764 -1.032300090 [114,] -0.950453936 -0.941082764 [115,] -1.263754533 -0.950453936 [116,] -1.502137329 -1.263754533 [117,] -1.607808213 -1.502137329 [118,] -1.058376701 -1.607808213 [119,] -0.763197421 -1.058376701 [120,] -0.502022213 -0.763197421 [121,] 0.056267509 -0.502022213 [122,] 0.153375276 0.056267509 [123,] 0.327843409 0.153375276 [124,] 0.173184791 0.327843409 [125,] 0.299308697 0.173184791 [126,] 0.048816774 0.299308697 [127,] 0.184738009 0.048816774 [128,] 0.315415551 0.184738009 [129,] -0.093661442 0.315415551 [130,] -0.199468888 -0.093661442 [131,] -0.197906771 -0.199468888 [132,] 0.735628092 -0.197906771 [133,] 0.262104016 0.735628092 [134,] 0.098791293 0.262104016 [135,] 1.507628744 0.098791293 [136,] 1.313651520 1.507628744 [137,] 1.421578101 1.313651520 [138,] 1.179403207 1.421578101 [139,] 0.959136730 1.179403207 [140,] 0.895600529 0.959136730 [141,] 1.214878631 0.895600529 [142,] 0.761446399 1.214878631 [143,] 0.179354237 0.761446399 [144,] -0.001096896 0.179354237 [145,] -0.267334611 -0.001096896 [146,] -0.220699903 -0.267334611 [147,] -0.207310423 -0.220699903 [148,] -0.402014336 -0.207310423 [149,] -0.088968572 -0.402014336 [150,] 0.334648310 -0.088968572 [151,] -0.216492579 0.334648310 [152,] 0.058452466 -0.216492579 [153,] -0.078749511 0.058452466 [154,] -0.290836123 -0.078749511 [155,] -0.275309129 -0.290836123 [156,] 0.212240139 -0.275309129 [157,] 0.253363424 0.212240139 [158,] 0.397060987 0.253363424 [159,] 0.254139596 0.397060987 [160,] 0.151423764 0.254139596 [161,] -0.230060352 0.151423764 [162,] 0.030037505 -0.230060352 [163,] -0.324972500 0.030037505 [164,] 0.103585464 -0.324972500 [165,] -0.474498846 0.103585464 [166,] -0.637704540 -0.474498846 [167,] -0.314384621 -0.637704540 [168,] -0.342443147 -0.314384621 [169,] -0.057518284 -0.342443147 [170,] -0.286399938 -0.057518284 [171,] -0.987962066 -0.286399938 [172,] -0.693619112 -0.987962066 [173,] -1.341581569 -0.693619112 [174,] -1.384934798 -1.341581569 [175,] -1.793250740 -1.384934798 [176,] -1.838597253 -1.793250740 [177,] 0.073458074 -1.838597253 [178,] 0.063517764 0.073458074 [179,] 0.334907796 0.063517764 [180,] 0.286549518 0.334907796 [181,] 0.588946030 0.286549518 [182,] 0.310843731 0.588946030 [183,] -0.337648534 0.310843731 [184,] -0.612388255 -0.337648534 [185,] -0.200347945 -0.612388255 [186,] 0.003830754 -0.200347945 [187,] 0.061622932 0.003830754 [188,] 0.333954973 0.061622932 [189,] 0.112548127 0.333954973 [190,] 0.437743010 0.112548127 [191,] 1.184453495 0.437743010 [192,] 0.523381852 1.184453495 [193,] 0.351013041 0.523381852 [194,] 0.548320875 0.351013041 [195,] 0.541011567 0.548320875 [196,] 0.272828033 0.541011567 [197,] 0.665998493 0.272828033 [198,] 0.726495878 0.665998493 [199,] 0.850361504 0.726495878 [200,] 0.535909463 0.850361504 [201,] 0.378391938 0.535909463 [202,] 0.635793550 0.378391938 [203,] 0.644927068 0.635793550 [204,] 0.750680987 0.644927068 [205,] 0.452274547 0.750680987 [206,] 0.918601084 0.452274547 [207,] 0.388839284 0.918601084 [208,] 0.110445709 0.388839284 [209,] 0.243886287 0.110445709 [210,] 0.237059028 0.243886287 [211,] 0.271446442 0.237059028 [212,] -0.152802887 0.271446442 [213,] -0.701443628 -0.152802887 [214,] -0.345217950 -0.701443628 [215,] -0.502687849 -0.345217950 [216,] 0.187978939 -0.502687849 [217,] 0.208102288 0.187978939 [218,] -0.388858629 0.208102288 [219,] -0.440012249 -0.388858629 [220,] -0.355426607 -0.440012249 [221,] -0.253507983 -0.355426607 [222,] -0.704635761 -0.253507983 [223,] -0.476681570 -0.704635761 [224,] 0.079716911 -0.476681570 [225,] 0.043489880 0.079716911 [226,] 0.046616710 0.043489880 [227,] -0.292399048 0.046616710 [228,] -0.374596634 -0.292399048 [229,] -0.218533634 -0.374596634 [230,] 0.561633373 -0.218533634 [231,] 1.305673321 0.561633373 [232,] 1.172509029 1.305673321 [233,] 1.244167156 1.172509029 [234,] 1.252371237 1.244167156 [235,] 0.723554334 1.252371237 [236,] 0.557432595 0.723554334 [237,] 0.202996946 0.557432595 [238,] 0.086964665 0.202996946 [239,] -0.178504001 0.086964665 [240,] 0.028964571 -0.178504001 [241,] 0.208372020 0.028964571 [242,] 0.247681574 0.208372020 [243,] -0.192473887 0.247681574 [244,] -0.094165929 -0.192473887 [245,] -0.592307893 -0.094165929 [246,] -0.286544379 -0.592307893 [247,] 0.773555583 -0.286544379 [248,] 1.127723251 0.773555583 [249,] 1.290000831 1.127723251 [250,] 1.144822283 1.290000831 [251,] 0.968758360 1.144822283 [252,] 1.179636620 0.968758360 [253,] 0.956085969 1.179636620 [254,] 0.926334608 0.956085969 [255,] 0.866549278 0.926334608 [256,] 1.165678675 0.866549278 [257,] 0.981364072 1.165678675 [258,] 1.080063018 0.981364072 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -1.367993810 -1.406928863 2 -1.458288774 -1.367993810 3 -0.963853874 -1.458288774 4 -0.866607411 -0.963853874 5 -0.457752062 -0.866607411 6 -0.691699889 -0.457752062 7 -0.628216670 -0.691699889 8 -0.593182151 -0.628216670 9 -0.400629708 -0.593182151 10 -0.326881541 -0.400629708 11 -0.505246496 -0.326881541 12 -0.649391104 -0.505246496 13 -0.557206518 -0.649391104 14 -0.376503958 -0.557206518 15 -0.100492599 -0.376503958 16 -0.123021296 -0.100492599 17 -0.119006605 -0.123021296 18 0.023669850 -0.119006605 19 0.447286399 0.023669850 20 0.679606025 0.447286399 21 0.758610144 0.679606025 22 0.609967122 0.758610144 23 0.294248480 0.609967122 24 0.597859360 0.294248480 25 0.593891816 0.597859360 26 0.602170441 0.593891816 27 0.289822440 0.602170441 28 0.628506684 0.289822440 29 0.739431568 0.628506684 30 0.965018333 0.739431568 31 0.955799701 0.965018333 32 0.799619644 0.955799701 33 0.804110459 0.799619644 34 0.611518614 0.804110459 35 0.239665035 0.611518614 36 -0.183143442 0.239665035 37 0.045086827 -0.183143442 38 -0.177382846 0.045086827 39 -0.409970491 -0.177382846 40 -0.629357796 -0.409970491 41 -0.756887093 -0.629357796 42 -0.403700213 -0.756887093 43 0.098879278 -0.403700213 44 0.349405983 0.098879278 45 0.077723887 0.349405983 46 0.334833982 0.077723887 47 0.471948929 0.334833982 48 1.009797262 0.471948929 49 1.196538778 1.009797262 50 1.082950578 1.196538778 51 0.718867828 1.082950578 52 1.435596970 0.718867828 53 1.366232749 1.435596970 54 0.970322363 1.366232749 55 1.249072623 0.970322363 56 1.227185985 1.249072623 57 0.883495881 1.227185985 58 0.845787842 0.883495881 59 0.973940996 0.845787842 60 0.359837954 0.973940996 61 0.255955726 0.359837954 62 0.215994477 0.255955726 63 0.017994221 0.215994477 64 0.350651810 0.017994221 65 -0.130154330 0.350651810 66 -0.293761484 -0.130154330 67 -0.634657195 -0.293761484 68 -0.739513110 -0.634657195 69 -1.143636920 -0.739513110 70 -0.919453039 -1.143636920 71 -0.835452224 -0.919453039 72 -0.609540895 -0.835452224 73 -0.504857582 -0.609540895 74 -0.398853898 -0.504857582 75 0.175584837 -0.398853898 76 -0.042383505 0.175584837 77 0.033746005 -0.042383505 78 -0.107507515 0.033746005 79 0.017889559 -0.107507515 80 -0.083985924 0.017889559 81 0.135725106 -0.083985924 82 -0.216279300 0.135725106 83 -0.330093503 -0.216279300 84 -0.408431801 -0.330093503 85 -0.881832163 -0.408431801 86 -0.542877960 -0.881832163 87 -0.576422930 -0.542877960 88 -1.027245333 -0.576422930 89 -1.001152885 -1.027245333 90 -1.376444848 -1.001152885 91 -0.957124461 -1.376444848 92 -1.534762661 -0.957124461 93 -1.512868656 -1.534762661 94 -1.290167819 -1.512868656 95 -0.836210941 -1.290167819 96 -0.917082063 -0.836210941 97 -1.143836926 -0.917082063 98 -0.952161035 -1.143836926 99 -1.044912421 -0.952161035 100 -0.895947316 -1.044912421 101 -0.882903075 -0.895947316 102 -0.652053434 -0.882903075 103 -0.298192850 -0.652053434 104 -0.618627527 -0.298192850 105 0.037867022 -0.618627527 106 -0.294626041 0.037867022 107 -0.260812393 -0.294626041 108 -0.477878233 -0.260812393 109 -0.428888465 -0.477878233 110 -1.261731356 -0.428888465 111 -1.132895051 -1.261731356 112 -1.032300090 -1.132895051 113 -0.941082764 -1.032300090 114 -0.950453936 -0.941082764 115 -1.263754533 -0.950453936 116 -1.502137329 -1.263754533 117 -1.607808213 -1.502137329 118 -1.058376701 -1.607808213 119 -0.763197421 -1.058376701 120 -0.502022213 -0.763197421 121 0.056267509 -0.502022213 122 0.153375276 0.056267509 123 0.327843409 0.153375276 124 0.173184791 0.327843409 125 0.299308697 0.173184791 126 0.048816774 0.299308697 127 0.184738009 0.048816774 128 0.315415551 0.184738009 129 -0.093661442 0.315415551 130 -0.199468888 -0.093661442 131 -0.197906771 -0.199468888 132 0.735628092 -0.197906771 133 0.262104016 0.735628092 134 0.098791293 0.262104016 135 1.507628744 0.098791293 136 1.313651520 1.507628744 137 1.421578101 1.313651520 138 1.179403207 1.421578101 139 0.959136730 1.179403207 140 0.895600529 0.959136730 141 1.214878631 0.895600529 142 0.761446399 1.214878631 143 0.179354237 0.761446399 144 -0.001096896 0.179354237 145 -0.267334611 -0.001096896 146 -0.220699903 -0.267334611 147 -0.207310423 -0.220699903 148 -0.402014336 -0.207310423 149 -0.088968572 -0.402014336 150 0.334648310 -0.088968572 151 -0.216492579 0.334648310 152 0.058452466 -0.216492579 153 -0.078749511 0.058452466 154 -0.290836123 -0.078749511 155 -0.275309129 -0.290836123 156 0.212240139 -0.275309129 157 0.253363424 0.212240139 158 0.397060987 0.253363424 159 0.254139596 0.397060987 160 0.151423764 0.254139596 161 -0.230060352 0.151423764 162 0.030037505 -0.230060352 163 -0.324972500 0.030037505 164 0.103585464 -0.324972500 165 -0.474498846 0.103585464 166 -0.637704540 -0.474498846 167 -0.314384621 -0.637704540 168 -0.342443147 -0.314384621 169 -0.057518284 -0.342443147 170 -0.286399938 -0.057518284 171 -0.987962066 -0.286399938 172 -0.693619112 -0.987962066 173 -1.341581569 -0.693619112 174 -1.384934798 -1.341581569 175 -1.793250740 -1.384934798 176 -1.838597253 -1.793250740 177 0.073458074 -1.838597253 178 0.063517764 0.073458074 179 0.334907796 0.063517764 180 0.286549518 0.334907796 181 0.588946030 0.286549518 182 0.310843731 0.588946030 183 -0.337648534 0.310843731 184 -0.612388255 -0.337648534 185 -0.200347945 -0.612388255 186 0.003830754 -0.200347945 187 0.061622932 0.003830754 188 0.333954973 0.061622932 189 0.112548127 0.333954973 190 0.437743010 0.112548127 191 1.184453495 0.437743010 192 0.523381852 1.184453495 193 0.351013041 0.523381852 194 0.548320875 0.351013041 195 0.541011567 0.548320875 196 0.272828033 0.541011567 197 0.665998493 0.272828033 198 0.726495878 0.665998493 199 0.850361504 0.726495878 200 0.535909463 0.850361504 201 0.378391938 0.535909463 202 0.635793550 0.378391938 203 0.644927068 0.635793550 204 0.750680987 0.644927068 205 0.452274547 0.750680987 206 0.918601084 0.452274547 207 0.388839284 0.918601084 208 0.110445709 0.388839284 209 0.243886287 0.110445709 210 0.237059028 0.243886287 211 0.271446442 0.237059028 212 -0.152802887 0.271446442 213 -0.701443628 -0.152802887 214 -0.345217950 -0.701443628 215 -0.502687849 -0.345217950 216 0.187978939 -0.502687849 217 0.208102288 0.187978939 218 -0.388858629 0.208102288 219 -0.440012249 -0.388858629 220 -0.355426607 -0.440012249 221 -0.253507983 -0.355426607 222 -0.704635761 -0.253507983 223 -0.476681570 -0.704635761 224 0.079716911 -0.476681570 225 0.043489880 0.079716911 226 0.046616710 0.043489880 227 -0.292399048 0.046616710 228 -0.374596634 -0.292399048 229 -0.218533634 -0.374596634 230 0.561633373 -0.218533634 231 1.305673321 0.561633373 232 1.172509029 1.305673321 233 1.244167156 1.172509029 234 1.252371237 1.244167156 235 0.723554334 1.252371237 236 0.557432595 0.723554334 237 0.202996946 0.557432595 238 0.086964665 0.202996946 239 -0.178504001 0.086964665 240 0.028964571 -0.178504001 241 0.208372020 0.028964571 242 0.247681574 0.208372020 243 -0.192473887 0.247681574 244 -0.094165929 -0.192473887 245 -0.592307893 -0.094165929 246 -0.286544379 -0.592307893 247 0.773555583 -0.286544379 248 1.127723251 0.773555583 249 1.290000831 1.127723251 250 1.144822283 1.290000831 251 0.968758360 1.144822283 252 1.179636620 0.968758360 253 0.956085969 1.179636620 254 0.926334608 0.956085969 255 0.866549278 0.926334608 256 1.165678675 0.866549278 257 0.981364072 1.165678675 258 1.080063018 0.981364072 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7zv8b1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8r6ts1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9nlca1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10sf5y1356041673.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/1173hg1356041673.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12gzvp1356041673.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13qx4j1356041673.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14x2hw1356041673.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/15vpsh1356041673.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/16hjo41356041673.tab") + } > > try(system("convert tmp/1rlsr1356041673.ps tmp/1rlsr1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/2jqlh1356041673.ps tmp/2jqlh1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/3y82o1356041673.ps tmp/3y82o1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/4bg0n1356041673.ps tmp/4bg0n1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/5mtl51356041673.ps tmp/5mtl51356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/6knks1356041673.ps tmp/6knks1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/7zv8b1356041673.ps tmp/7zv8b1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/8r6ts1356041673.ps tmp/8r6ts1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/9nlca1356041673.ps tmp/9nlca1356041673.png",intern=TRUE)) character(0) > try(system("convert tmp/10sf5y1356041673.ps tmp/10sf5y1356041673.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 10.784 0.975 11.763