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(46 + ,26 + ,95556 + ,47.38555556 + ,48 + ,20 + ,54565 + ,24.06138889 + ,37 + ,24 + ,63016 + ,31.4825 + ,75 + ,25 + ,79774 + ,42.36388889 + ,31 + ,15 + ,31258 + ,23.94611111 + ,18 + ,16 + ,52491 + ,10.34916667 + ,79 + ,20 + ,91256 + ,85.01527778 + ,16 + ,18 + ,22807 + ,9.097222222 + ,38 + ,19 + ,77411 + ,32.36166667 + ,24 + ,20 + ,48821 + ,36.26083333 + ,65 + ,30 + ,52295 + ,44.96555556 + ,74 + ,37 + ,63262 + ,35.63166667 + ,43 + ,23 + ,50466 + ,28.43055556 + ,42 + ,36 + ,62932 + ,53.61777778 + ,55 + ,29 + ,38439 + ,39.32611111 + ,121 + ,35 + ,70817 + ,70.43305556 + ,42 + ,24 + ,105965 + ,50.30833333 + ,102 + ,22 + ,73795 + ,55.12 + ,36 + ,19 + ,82043 + ,31.62583333 + ,50 + ,30 + ,74349 + ,44.42777778 + ,48 + ,27 + ,82204 + ,46.33944444 + ,56 + ,26 + ,55709 + ,79.63194444 + ,19 + ,15 + ,37137 + ,25.46027778 + ,32 + ,30 + ,70780 + ,30.07722222 + ,77 + ,28 + ,55027 + ,40.65055556 + ,90 + ,24 + ,56699 + ,40.31722222 + ,81 + ,21 + ,65911 + ,44.92777778 + ,55 + ,27 + ,56316 + ,44.69583333 + ,34 + ,21 + ,26982 + ,29.69111111 + ,38 + ,30 + ,54628 + ,52.26388889 + ,53 + ,30 + ,96750 + ,52.61138889 + ,48 + ,33 + ,53009 + ,35.96777778 + ,63 + ,30 + ,64664 + ,56.675 + ,25 + ,20 + ,36990 + ,17.42527778 + ,56 + ,27 + ,85224 + ,67.67361111 + ,37 + ,25 + ,37048 + ,46.45972222 + ,83 + ,30 + ,59635 + ,73.48 + ,50 + ,20 + ,42051 + ,33.89555556 + ,26 + ,8 + ,26998 + ,22.49 + ,108 + ,24 + ,63717 + ,58.27638889 + ,55 + ,25 + ,55071 + ,62.27916667 + ,41 + ,25 + ,40001 + ,32.21416667 + ,49 + ,21 + ,54506 + ,38.38638889 + ,31 + ,21 + ,35838 + ,22.52944444 + ,49 + ,21 + ,50838 + ,25.86805556 + ,96 + ,26 + ,86997 + ,84.93222222 + ,42 + ,26 + ,33032 + ,21.88888889 + ,55 + ,30 + ,61704 + ,44.12083333 + ,70 + ,34 + ,117986 + ,61.59583333 + ,39 + ,30 + ,56733 + ,36.41888889 + ,53 + ,18 + ,55064 + ,35.75944444 + ,24 + ,4 + ,5950 + ,6.718888889 + ,209 + ,31 + ,84607 + ,71.57277778 + ,17 + ,18 + ,32551 + ,18.06361111 + ,58 + ,14 + ,31701 + ,27.24055556 + ,27 + ,20 + ,71170 + ,48.21861111 + ,58 + ,36 + ,101773 + ,50.01166667 + ,114 + ,24 + ,101653 + ,54.79611111 + ,75 + ,26 + ,81493 + ,58.90555556 + ,51 + ,22 + ,55901 + ,39.32833333 + ,86 + ,31 + ,109104 + ,68.08527778 + ,77 + ,21 + ,114425 + ,57.46638889 + ,62 + ,31 + ,36311 + ,40.47111111 + ,60 + ,26 + ,70027 + ,47.39861111 + ,39 + ,24 + ,73713 + ,39.46222222 + ,35 + ,15 + ,40671 + ,31.89444444 + ,86 + ,19 + ,89041 + ,31.51694444 + ,102 + ,28 + ,57231 + ,40.35694444 + ,49 + ,24 + ,68608 + ,41.94416667 + ,35 + ,18 + ,59155 + ,25.50333333 + ,33 + ,25 + ,55827 + ,33.00194444 + ,28 + ,20 + ,22618 + ,19.2975 + ,44 + ,25 + ,58425 + ,35.175 + ,37 + ,24 + ,65724 + ,40.53 + ,33 + ,23 + ,56979 + ,27.33138889 + ,45 + ,25 + ,72369 + ,53.035 + ,57 + ,20 + ,79194 + ,55.22138889 + ,58 + ,23 + ,202316 + ,29.49805556 + ,36 + ,22 + ,44970 + ,24.81055556 + ,42 + ,25 + ,49319 + ,33.43388889 + ,30 + ,18 + ,36252 + ,27.44194444 + ,67 + ,30 + ,75741 + ,76.37583333 + ,53 + ,22 + ,38417 + ,36.88833333 + ,59 + ,25 + ,64102 + ,37.56972222 + ,25 + ,8 + ,56622 + ,22.48694444 + ,39 + ,21 + ,15430 + ,30.34361111 + ,36 + ,22 + ,72571 + ,26.84277778 + ,114 + ,24 + ,67271 + ,62.83083333 + ,54 + ,30 + ,43460 + ,47.57944444 + ,70 + ,27 + ,99501 + ,32.72638889 + ,51 + ,24 + ,28340 + ,37.10027778 + ,49 + ,25 + ,76013 + ,42.27583333 + ,42 + ,21 + ,37361 + ,31.11222222 + ,51 + ,24 + ,48204 + ,47.11472222 + ,51 + ,24 + ,76168 + ,52.07861111 + ,27 + ,20 + ,85168 + ,36.25916667 + ,29 + ,20 + ,125410 + ,39.53861111 + ,54 + ,24 + ,123328 + ,52.71222222 + ,92 + ,40 + ,83038 + ,56.00083333 + ,72 + ,22 + ,120087 + ,68.565 + ,63 + ,31 + ,91939 + ,43.31861111 + ,41 + ,26 + ,103646 + ,50.71694444 + ,111 + ,20 + ,29467 + ,29.54194444 + ,14 + ,19 + ,43750 + ,12.02416667 + ,45 + ,15 + ,34497 + ,35.41472222 + ,91 + ,21 + ,66477 + ,35.53611111 + ,29 + ,22 + ,71181 + ,41.39055556 + ,64 + ,24 + ,74482 + ,52.12583333 + ,32 + ,19 + ,174949 + ,20.58666667 + ,65 + ,24 + ,46765 + ,26.11277778 + ,42 + ,23 + ,90257 + ,49.0625 + ,55 + ,27 + ,51370 + ,39.42583333 + ,10 + ,1 + ,1168 + ,6.371666667 + ,53 + ,24 + ,51360 + ,34.97972222 + ,25 + ,11 + ,25162 + ,17.1825 + ,33 + ,27 + ,21067 + ,25.35833333 + ,66 + ,22 + ,58233 + ,70.86111111 + ,16 + ,0 + ,855 + ,5.848333333 + ,35 + ,17 + ,85903 + ,46.97027778 + ,19 + ,8 + ,14116 + ,8.726111111 + ,76 + ,24 + ,57637 + ,52.41694444 + ,35 + ,31 + ,94137 + ,38.20666667 + ,46 + ,24 + ,62147 + ,21.435 + ,29 + ,20 + ,62832 + ,20.71305556 + ,34 + ,8 + ,8773 + ,10.615 + ,25 + ,22 + ,63785 + ,25.26694444 + ,48 + ,33 + ,65196 + ,53.95111111 + ,38 + ,33 + ,73087 + ,37.5725 + ,50 + ,31 + ,72631 + ,67.85333333 + ,65 + ,33 + ,86281 + ,56.04111111 + ,72 + ,35 + ,162365 + ,71.22277778 + ,23 + ,21 + ,56530 + ,38.65111111 + ,29 + ,20 + ,35606 + ,21.24166667 + ,194 + ,24 + ,70111 + ,52.63944444 + ,114 + ,29 + ,92046 + ,77.87055556 + ,15 + ,20 + ,63989 + ,14.16638889 + ,86 + ,27 + ,104911 + ,70.35388889 + ,50 + ,24 + ,43448 + ,28.6775 + ,33 + ,26 + ,60029 + ,46.68305556 + ,50 + ,26 + ,38650 + ,35.76888889 + ,72 + ,12 + ,47261 + ,21.04055556 + ,81 + ,21 + ,73586 + ,69.23111111 + ,54 + ,24 + ,83042 + ,42.32388889 + ,63 + ,21 + ,37238 + ,48.12777778 + ,69 + ,30 + ,63958 + ,54.77694444 + ,39 + ,32 + ,78956 + ,18.75194444 + ,49 + ,24 + ,99518 + ,38.72472222 + ,67 + ,29 + ,111436 + ,51.49055556 + ,0 + ,0 + ,0 + ,0 + ,10 + ,0 + ,6023 + ,4.08) + ,dim=c(4 + ,150) + ,dimnames=list(c('A' + ,'B' + ,'C' + ,'D') + ,1:150)) > y <- array(NA,dim=c(4,150),dimnames=list(c('A','B','C','D'),1:150)) > 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 = '4' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal 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 D A B C 1 47.385556 46 26 95556 2 24.061389 48 20 54565 3 31.482500 37 24 63016 4 42.363889 75 25 79774 5 23.946111 31 15 31258 6 10.349167 18 16 52491 7 85.015278 79 20 91256 8 9.097222 16 18 22807 9 32.361667 38 19 77411 10 36.260833 24 20 48821 11 44.965556 65 30 52295 12 35.631667 74 37 63262 13 28.430556 43 23 50466 14 53.617778 42 36 62932 15 39.326111 55 29 38439 16 70.433056 121 35 70817 17 50.308333 42 24 105965 18 55.120000 102 22 73795 19 31.625833 36 19 82043 20 44.427778 50 30 74349 21 46.339444 48 27 82204 22 79.631944 56 26 55709 23 25.460278 19 15 37137 24 30.077222 32 30 70780 25 40.650556 77 28 55027 26 40.317222 90 24 56699 27 44.927778 81 21 65911 28 44.695833 55 27 56316 29 29.691111 34 21 26982 30 52.263889 38 30 54628 31 52.611389 53 30 96750 32 35.967778 48 33 53009 33 56.675000 63 30 64664 34 17.425278 25 20 36990 35 67.673611 56 27 85224 36 46.459722 37 25 37048 37 73.480000 83 30 59635 38 33.895556 50 20 42051 39 22.490000 26 8 26998 40 58.276389 108 24 63717 41 62.279167 55 25 55071 42 32.214167 41 25 40001 43 38.386389 49 21 54506 44 22.529444 31 21 35838 45 25.868056 49 21 50838 46 84.932222 96 26 86997 47 21.888889 42 26 33032 48 44.120833 55 30 61704 49 61.595833 70 34 117986 50 36.418889 39 30 56733 51 35.759444 53 18 55064 52 6.718889 24 4 5950 53 71.572778 209 31 84607 54 18.063611 17 18 32551 55 27.240556 58 14 31701 56 48.218611 27 20 71170 57 50.011667 58 36 101773 58 54.796111 114 24 101653 59 58.905556 75 26 81493 60 39.328333 51 22 55901 61 68.085278 86 31 109104 62 57.466389 77 21 114425 63 40.471111 62 31 36311 64 47.398611 60 26 70027 65 39.462222 39 24 73713 66 31.894444 35 15 40671 67 31.516944 86 19 89041 68 40.356944 102 28 57231 69 41.944167 49 24 68608 70 25.503333 35 18 59155 71 33.001944 33 25 55827 72 19.297500 28 20 22618 73 35.175000 44 25 58425 74 40.530000 37 24 65724 75 27.331389 33 23 56979 76 53.035000 45 25 72369 77 55.221389 57 20 79194 78 29.498056 58 23 202316 79 24.810556 36 22 44970 80 33.433889 42 25 49319 81 27.441944 30 18 36252 82 76.375833 67 30 75741 83 36.888333 53 22 38417 84 37.569722 59 25 64102 85 22.486944 25 8 56622 86 30.343611 39 21 15430 87 26.842778 36 22 72571 88 62.830833 114 24 67271 89 47.579444 54 30 43460 90 32.726389 70 27 99501 91 37.100278 51 24 28340 92 42.275833 49 25 76013 93 31.112222 42 21 37361 94 47.114722 51 24 48204 95 52.078611 51 24 76168 96 36.259167 27 20 85168 97 39.538611 29 20 125410 98 52.712222 54 24 123328 99 56.000833 92 40 83038 100 68.565000 72 22 120087 101 43.318611 63 31 91939 102 50.716944 41 26 103646 103 29.541944 111 20 29467 104 12.024167 14 19 43750 105 35.414722 45 15 34497 106 35.536111 91 21 66477 107 41.390556 29 22 71181 108 52.125833 64 24 74482 109 20.586667 32 19 174949 110 26.112778 65 24 46765 111 49.062500 42 23 90257 112 39.425833 55 27 51370 113 6.371667 10 1 1168 114 34.979722 53 24 51360 115 17.182500 25 11 25162 116 25.358333 33 27 21067 117 70.861111 66 22 58233 118 5.848333 16 0 855 119 46.970278 35 17 85903 120 8.726111 19 8 14116 121 52.416944 76 24 57637 122 38.206667 35 31 94137 123 21.435000 46 24 62147 124 20.713056 29 20 62832 125 10.615000 34 8 8773 126 25.266944 25 22 63785 127 53.951111 48 33 65196 128 37.572500 38 33 73087 129 67.853333 50 31 72631 130 56.041111 65 33 86281 131 71.222778 72 35 162365 132 38.651111 23 21 56530 133 21.241667 29 20 35606 134 52.639444 194 24 70111 135 77.870556 114 29 92046 136 14.166389 15 20 63989 137 70.353889 86 27 104911 138 28.677500 50 24 43448 139 46.683056 33 26 60029 140 35.768889 50 26 38650 141 21.040556 72 12 47261 142 69.231111 81 21 73586 143 42.323889 54 24 83042 144 48.127778 63 21 37238 145 54.776944 69 30 63958 146 18.751944 39 32 78956 147 38.724722 49 24 99518 148 51.490556 67 29 111436 149 0.000000 0 0 0 150 4.080000 10 0 6023 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) A B C -0.4340164 0.2442380 0.8211177 0.0001339 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -30.201 -6.879 0.053 6.298 37.583 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -4.340e-01 3.289e+00 -0.132 0.895198 A 2.442e-01 3.597e-02 6.791 2.62e-10 *** B 8.211e-01 1.601e-01 5.129 9.12e-07 *** C 1.339e-04 3.493e-05 3.833 0.000188 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 11.52 on 146 degrees of freedom Multiple R-squared: 0.5826, Adjusted R-squared: 0.574 F-statistic: 67.92 on 3 and 146 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,] 0.76532023 0.469359547 0.234679774 [2,] 0.74518219 0.509635621 0.254817810 [3,] 0.67717051 0.645658990 0.322829495 [4,] 0.79576744 0.408465114 0.204232557 [5,] 0.73281470 0.534370608 0.267185304 [6,] 0.68710128 0.625797441 0.312898720 [7,] 0.59549618 0.809007649 0.404503825 [8,] 0.80357531 0.392849379 0.196424690 [9,] 0.75833292 0.483334164 0.241667082 [10,] 0.68811731 0.623765380 0.311882690 [11,] 0.61401834 0.771963316 0.385981658 [12,] 0.56005852 0.879882965 0.439941483 [13,] 0.50979594 0.980408117 0.490204058 [14,] 0.43262114 0.865242286 0.567378857 [15,] 0.35966894 0.719337880 0.640331060 [16,] 0.92235275 0.155294494 0.077647247 [17,] 0.90291233 0.194175334 0.097087667 [18,] 0.88642984 0.227140323 0.113570162 [19,] 0.86965704 0.260685911 0.130342956 [20,] 0.86456043 0.270879138 0.135439569 [21,] 0.83188387 0.336232258 0.168116129 [22,] 0.79467853 0.410642942 0.205321471 [23,] 0.76002515 0.479949696 0.239974848 [24,] 0.78328321 0.433433582 0.216716791 [25,] 0.73707465 0.525850704 0.262925352 [26,] 0.70289249 0.594215011 0.297107505 [27,] 0.68034979 0.639300415 0.319650207 [28,] 0.64699154 0.706016919 0.353008460 [29,] 0.71794870 0.564102594 0.282051297 [30,] 0.75142968 0.497140632 0.248570316 [31,] 0.82411373 0.351772547 0.175886274 [32,] 0.78606973 0.427860536 0.213930268 [33,] 0.75756900 0.484861999 0.242431000 [34,] 0.71751047 0.564979053 0.282489527 [35,] 0.80397338 0.392053243 0.196026622 [36,] 0.76645600 0.467088006 0.233544003 [37,] 0.72470827 0.550583465 0.275291733 [38,] 0.68930665 0.621386707 0.310693354 [39,] 0.68042322 0.639153567 0.319576784 [40,] 0.81303549 0.373929027 0.186964513 [41,] 0.81212411 0.375751788 0.187875894 [42,] 0.77676439 0.446471226 0.223235613 [43,] 0.74991244 0.500175114 0.250087557 [44,] 0.71243289 0.575134224 0.287567112 [45,] 0.66982194 0.660356128 0.330178064 [46,] 0.62445206 0.751095881 0.375547940 [47,] 0.74331157 0.513376867 0.256688433 [48,] 0.70722565 0.585548696 0.292774348 [49,] 0.66407614 0.671847720 0.335923860 [50,] 0.68182429 0.636351416 0.318175708 [51,] 0.67053526 0.658929480 0.329464740 [52,] 0.66297373 0.674052533 0.337026266 [53,] 0.63657902 0.726841965 0.363420983 [54,] 0.59067311 0.818653774 0.409326887 [55,] 0.55621752 0.887564961 0.443782480 [56,] 0.52525633 0.949487335 0.474743667 [57,] 0.48171468 0.963429354 0.518285323 [58,] 0.43538792 0.870775840 0.564612080 [59,] 0.39012191 0.780243813 0.609878094 [60,] 0.35572893 0.711457860 0.644271070 [61,] 0.43735717 0.874714337 0.562642832 [62,] 0.45705142 0.914102838 0.542948581 [63,] 0.41067660 0.821353199 0.589323401 [64,] 0.37894412 0.757888248 0.621055876 [65,] 0.33712644 0.674252885 0.662873557 [66,] 0.30508362 0.610167235 0.694916382 [67,] 0.26869165 0.537383293 0.731308353 [68,] 0.23291321 0.465826425 0.767086788 [69,] 0.21163606 0.423272122 0.788363939 [70,] 0.21112379 0.422247572 0.788876214 [71,] 0.22574859 0.451497181 0.774251410 [72,] 0.55392240 0.892155195 0.446077597 [73,] 0.52652581 0.946948371 0.473474186 [74,] 0.48307267 0.966145332 0.516927334 [75,] 0.43587739 0.871754790 0.564122605 [76,] 0.61828040 0.763439203 0.381719601 [77,] 0.57252723 0.854945543 0.427472772 [78,] 0.53487036 0.930259287 0.465129644 [79,] 0.48930234 0.978604689 0.510697656 [80,] 0.44311496 0.886229920 0.556885040 [81,] 0.42465014 0.849300280 0.575349860 [82,] 0.39567751 0.791355013 0.604322493 [83,] 0.35747609 0.714952179 0.642523911 [84,] 0.43512572 0.870251446 0.564874277 [85,] 0.38934047 0.778680940 0.610659530 [86,] 0.34334212 0.686684248 0.656657876 [87,] 0.29968015 0.599360306 0.700319847 [88,] 0.28430958 0.568619159 0.715690421 [89,] 0.27561561 0.551231220 0.724384390 [90,] 0.23733856 0.474677126 0.762661437 [91,] 0.20091128 0.401822564 0.799088718 [92,] 0.17084438 0.341688762 0.829155619 [93,] 0.15807722 0.316154444 0.841922778 [94,] 0.19908358 0.398167151 0.800916424 [95,] 0.18366536 0.367330711 0.816334644 [96,] 0.16125284 0.322505680 0.838747160 [97,] 0.19912835 0.398256703 0.800871649 [98,] 0.20083566 0.401671316 0.799164342 [99,] 0.18170192 0.363403845 0.818298077 [100,] 0.18272802 0.365456049 0.817271975 [101,] 0.16347180 0.326943610 0.836528195 [102,] 0.14494854 0.289897082 0.855051459 [103,] 0.30403471 0.608069421 0.695965289 [104,] 0.32419643 0.648392866 0.675803567 [105,] 0.29257387 0.585147739 0.707426131 [106,] 0.24802309 0.496046176 0.751976912 [107,] 0.20995217 0.419904338 0.790047831 [108,] 0.17496420 0.349928409 0.825035795 [109,] 0.14120521 0.282410413 0.858794794 [110,] 0.11726007 0.234520131 0.882739934 [111,] 0.32279191 0.645583830 0.677208085 [112,] 0.27674296 0.553485915 0.723257042 [113,] 0.28683125 0.573662495 0.713168753 [114,] 0.23969307 0.479386134 0.760306933 [115,] 0.21448195 0.428963892 0.785518054 [116,] 0.19029948 0.380598953 0.809700523 [117,] 0.23129972 0.462599449 0.768700276 [118,] 0.22104043 0.442080863 0.778959569 [119,] 0.17909468 0.358189355 0.820905322 [120,] 0.15431816 0.308636330 0.845681835 [121,] 0.12776552 0.255531045 0.872234478 [122,] 0.11184930 0.223698607 0.888150697 [123,] 0.18319065 0.366381295 0.816809352 [124,] 0.14149616 0.282992313 0.858503844 [125,] 0.10482158 0.209643167 0.895178417 [126,] 0.08909057 0.178181131 0.910909434 [127,] 0.06496065 0.129921300 0.935039350 [128,] 0.44770574 0.895411478 0.552294261 [129,] 0.37418732 0.748374633 0.625812683 [130,] 0.30626773 0.612535458 0.693732271 [131,] 0.27542475 0.550849491 0.724575254 [132,] 0.23669949 0.473398970 0.763300515 [133,] 0.31645575 0.632911505 0.683544248 [134,] 0.22300459 0.446009173 0.776995413 [135,] 0.99696942 0.006061159 0.003030579 [136,] 0.98843020 0.023139594 0.011569797 [137,] 0.95748511 0.085029777 0.042514888 > postscript(file="/var/wessaorg/rcomp/tmp/1ypkm1355861650.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/26ku81355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3vojb1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4f27w1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5zopi1355861651.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 = 150 Frequency = 1 1 2 3 4 5 6 2.44467676 -10.95430666 -5.26227819 -6.72623470 0.30786672 -13.77729804 7 8 9 10 11 12 37.51683869 -12.20957555 -2.44863998 7.87572704 -2.10950601 -20.85737584 13 14 15 16 17 18 -7.27862114 5.80964157 -2.63072325 3.09576944 6.59331902 2.69913779 19 20 21 22 23 24 -3.31602533 -1.93580748 1.87623745 37.58250593 3.96594096 -11.41234178 25 26 27 28 29 30 -8.07882525 -8.52659150 -0.48763639 1.98826363 0.96582141 11.47096345 31 32 33 34 35 36 2.51654760 -9.51416527 8.43273087 -9.62039830 20.85225053 12.36983816 37 38 39 40 41 42 21.02614051 0.06647690 6.39100227 4.09687937 21.38048492 -3.24795057 43 44 45 46 47 48 2.31323526 -6.64857340 -9.71410872 28.92513040 -13.70573103 -1.77131366 49 50 51 52 53 54 1.22187745 -4.90004460 1.09799939 -2.78972930 -15.81887572 -4.79173222 55 56 57 58 59 60 -2.23029573 16.10920938 -6.90343689 -5.92684482 8.76421324 1.75885482 61 62 63 64 65 66 7.45578951 6.53396346 -4.55277574 2.45564882 0.79709427 6.01924736 67 68 69 70 71 72 -16.57354852 -14.77340804 1.52000142 -5.30943899 -2.62469784 -6.55708992 73 74 75 76 77 78 -3.48602196 3.42273567 -6.80722189 12.26323094 14.71077483 -30.20095380 79 80 81 82 83 84 -7.63215667 -3.51975061 0.91610061 25.67387261 1.17074354 -5.51477866 85 86 87 88 89 90 2.66678984 1.94345342 -9.29453558 6.71016629 4.37363184 -19.42538720 91 92 93 94 95 96 1.57781074 0.03933554 -0.95627848 8.93330962 10.15400711 2.27602752 97 98 99 100 101 102 -0.31969792 3.74218410 -9.99501211 17.27474562 -9.39573927 5.91434833 103 104 105 106 107 108 -17.50118864 -12.41865062 7.92358151 -12.39744630 7.14897007 7.25181923 109 110 111 112 113 114 -25.81440581 -15.29534571 8.27123712 -2.61967713 3.38583996 -4.11262066 115 116 117 118 119 120 -0.88985038 -7.25765726 29.31590706 2.26009377 13.39820247 -3.93886826 121 122 123 124 125 126 6.86690423 -7.96323883 -17.39159792 -10.76871824 -4.99834853 -7.00767896 127 128 129 130 131 132 6.83784659 -8.15465424 20.89859760 1.95341519 3.59876583 8.65721760 133 134 135 136 137 138 -6.59570257 -23.40041704 14.32798034 -14.05092620 13.57013585 -8.62304830 139 140 141 142 143 144 9.67282635 -2.53164643 -12.29021508 22.78834056 -1.25356560 10.94674378 145 146 147 148 149 150 5.16375078 -27.18393983 -5.83697865 -3.16833129 0.43401643 1.26541276 > postscript(file="/var/wessaorg/rcomp/tmp/6why41355861651.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 = 150 Frequency = 1 lag(myerror, k = 1) myerror 0 2.44467676 NA 1 -10.95430666 2.44467676 2 -5.26227819 -10.95430666 3 -6.72623470 -5.26227819 4 0.30786672 -6.72623470 5 -13.77729804 0.30786672 6 37.51683869 -13.77729804 7 -12.20957555 37.51683869 8 -2.44863998 -12.20957555 9 7.87572704 -2.44863998 10 -2.10950601 7.87572704 11 -20.85737584 -2.10950601 12 -7.27862114 -20.85737584 13 5.80964157 -7.27862114 14 -2.63072325 5.80964157 15 3.09576944 -2.63072325 16 6.59331902 3.09576944 17 2.69913779 6.59331902 18 -3.31602533 2.69913779 19 -1.93580748 -3.31602533 20 1.87623745 -1.93580748 21 37.58250593 1.87623745 22 3.96594096 37.58250593 23 -11.41234178 3.96594096 24 -8.07882525 -11.41234178 25 -8.52659150 -8.07882525 26 -0.48763639 -8.52659150 27 1.98826363 -0.48763639 28 0.96582141 1.98826363 29 11.47096345 0.96582141 30 2.51654760 11.47096345 31 -9.51416527 2.51654760 32 8.43273087 -9.51416527 33 -9.62039830 8.43273087 34 20.85225053 -9.62039830 35 12.36983816 20.85225053 36 21.02614051 12.36983816 37 0.06647690 21.02614051 38 6.39100227 0.06647690 39 4.09687937 6.39100227 40 21.38048492 4.09687937 41 -3.24795057 21.38048492 42 2.31323526 -3.24795057 43 -6.64857340 2.31323526 44 -9.71410872 -6.64857340 45 28.92513040 -9.71410872 46 -13.70573103 28.92513040 47 -1.77131366 -13.70573103 48 1.22187745 -1.77131366 49 -4.90004460 1.22187745 50 1.09799939 -4.90004460 51 -2.78972930 1.09799939 52 -15.81887572 -2.78972930 53 -4.79173222 -15.81887572 54 -2.23029573 -4.79173222 55 16.10920938 -2.23029573 56 -6.90343689 16.10920938 57 -5.92684482 -6.90343689 58 8.76421324 -5.92684482 59 1.75885482 8.76421324 60 7.45578951 1.75885482 61 6.53396346 7.45578951 62 -4.55277574 6.53396346 63 2.45564882 -4.55277574 64 0.79709427 2.45564882 65 6.01924736 0.79709427 66 -16.57354852 6.01924736 67 -14.77340804 -16.57354852 68 1.52000142 -14.77340804 69 -5.30943899 1.52000142 70 -2.62469784 -5.30943899 71 -6.55708992 -2.62469784 72 -3.48602196 -6.55708992 73 3.42273567 -3.48602196 74 -6.80722189 3.42273567 75 12.26323094 -6.80722189 76 14.71077483 12.26323094 77 -30.20095380 14.71077483 78 -7.63215667 -30.20095380 79 -3.51975061 -7.63215667 80 0.91610061 -3.51975061 81 25.67387261 0.91610061 82 1.17074354 25.67387261 83 -5.51477866 1.17074354 84 2.66678984 -5.51477866 85 1.94345342 2.66678984 86 -9.29453558 1.94345342 87 6.71016629 -9.29453558 88 4.37363184 6.71016629 89 -19.42538720 4.37363184 90 1.57781074 -19.42538720 91 0.03933554 1.57781074 92 -0.95627848 0.03933554 93 8.93330962 -0.95627848 94 10.15400711 8.93330962 95 2.27602752 10.15400711 96 -0.31969792 2.27602752 97 3.74218410 -0.31969792 98 -9.99501211 3.74218410 99 17.27474562 -9.99501211 100 -9.39573927 17.27474562 101 5.91434833 -9.39573927 102 -17.50118864 5.91434833 103 -12.41865062 -17.50118864 104 7.92358151 -12.41865062 105 -12.39744630 7.92358151 106 7.14897007 -12.39744630 107 7.25181923 7.14897007 108 -25.81440581 7.25181923 109 -15.29534571 -25.81440581 110 8.27123712 -15.29534571 111 -2.61967713 8.27123712 112 3.38583996 -2.61967713 113 -4.11262066 3.38583996 114 -0.88985038 -4.11262066 115 -7.25765726 -0.88985038 116 29.31590706 -7.25765726 117 2.26009377 29.31590706 118 13.39820247 2.26009377 119 -3.93886826 13.39820247 120 6.86690423 -3.93886826 121 -7.96323883 6.86690423 122 -17.39159792 -7.96323883 123 -10.76871824 -17.39159792 124 -4.99834853 -10.76871824 125 -7.00767896 -4.99834853 126 6.83784659 -7.00767896 127 -8.15465424 6.83784659 128 20.89859760 -8.15465424 129 1.95341519 20.89859760 130 3.59876583 1.95341519 131 8.65721760 3.59876583 132 -6.59570257 8.65721760 133 -23.40041704 -6.59570257 134 14.32798034 -23.40041704 135 -14.05092620 14.32798034 136 13.57013585 -14.05092620 137 -8.62304830 13.57013585 138 9.67282635 -8.62304830 139 -2.53164643 9.67282635 140 -12.29021508 -2.53164643 141 22.78834056 -12.29021508 142 -1.25356560 22.78834056 143 10.94674378 -1.25356560 144 5.16375078 10.94674378 145 -27.18393983 5.16375078 146 -5.83697865 -27.18393983 147 -3.16833129 -5.83697865 148 0.43401643 -3.16833129 149 1.26541276 0.43401643 150 NA 1.26541276 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -10.95430666 2.44467676 [2,] -5.26227819 -10.95430666 [3,] -6.72623470 -5.26227819 [4,] 0.30786672 -6.72623470 [5,] -13.77729804 0.30786672 [6,] 37.51683869 -13.77729804 [7,] -12.20957555 37.51683869 [8,] -2.44863998 -12.20957555 [9,] 7.87572704 -2.44863998 [10,] -2.10950601 7.87572704 [11,] -20.85737584 -2.10950601 [12,] -7.27862114 -20.85737584 [13,] 5.80964157 -7.27862114 [14,] -2.63072325 5.80964157 [15,] 3.09576944 -2.63072325 [16,] 6.59331902 3.09576944 [17,] 2.69913779 6.59331902 [18,] -3.31602533 2.69913779 [19,] -1.93580748 -3.31602533 [20,] 1.87623745 -1.93580748 [21,] 37.58250593 1.87623745 [22,] 3.96594096 37.58250593 [23,] -11.41234178 3.96594096 [24,] -8.07882525 -11.41234178 [25,] -8.52659150 -8.07882525 [26,] -0.48763639 -8.52659150 [27,] 1.98826363 -0.48763639 [28,] 0.96582141 1.98826363 [29,] 11.47096345 0.96582141 [30,] 2.51654760 11.47096345 [31,] -9.51416527 2.51654760 [32,] 8.43273087 -9.51416527 [33,] -9.62039830 8.43273087 [34,] 20.85225053 -9.62039830 [35,] 12.36983816 20.85225053 [36,] 21.02614051 12.36983816 [37,] 0.06647690 21.02614051 [38,] 6.39100227 0.06647690 [39,] 4.09687937 6.39100227 [40,] 21.38048492 4.09687937 [41,] -3.24795057 21.38048492 [42,] 2.31323526 -3.24795057 [43,] -6.64857340 2.31323526 [44,] -9.71410872 -6.64857340 [45,] 28.92513040 -9.71410872 [46,] -13.70573103 28.92513040 [47,] -1.77131366 -13.70573103 [48,] 1.22187745 -1.77131366 [49,] -4.90004460 1.22187745 [50,] 1.09799939 -4.90004460 [51,] -2.78972930 1.09799939 [52,] -15.81887572 -2.78972930 [53,] -4.79173222 -15.81887572 [54,] -2.23029573 -4.79173222 [55,] 16.10920938 -2.23029573 [56,] -6.90343689 16.10920938 [57,] -5.92684482 -6.90343689 [58,] 8.76421324 -5.92684482 [59,] 1.75885482 8.76421324 [60,] 7.45578951 1.75885482 [61,] 6.53396346 7.45578951 [62,] -4.55277574 6.53396346 [63,] 2.45564882 -4.55277574 [64,] 0.79709427 2.45564882 [65,] 6.01924736 0.79709427 [66,] -16.57354852 6.01924736 [67,] -14.77340804 -16.57354852 [68,] 1.52000142 -14.77340804 [69,] -5.30943899 1.52000142 [70,] -2.62469784 -5.30943899 [71,] -6.55708992 -2.62469784 [72,] -3.48602196 -6.55708992 [73,] 3.42273567 -3.48602196 [74,] -6.80722189 3.42273567 [75,] 12.26323094 -6.80722189 [76,] 14.71077483 12.26323094 [77,] -30.20095380 14.71077483 [78,] -7.63215667 -30.20095380 [79,] -3.51975061 -7.63215667 [80,] 0.91610061 -3.51975061 [81,] 25.67387261 0.91610061 [82,] 1.17074354 25.67387261 [83,] -5.51477866 1.17074354 [84,] 2.66678984 -5.51477866 [85,] 1.94345342 2.66678984 [86,] -9.29453558 1.94345342 [87,] 6.71016629 -9.29453558 [88,] 4.37363184 6.71016629 [89,] -19.42538720 4.37363184 [90,] 1.57781074 -19.42538720 [91,] 0.03933554 1.57781074 [92,] -0.95627848 0.03933554 [93,] 8.93330962 -0.95627848 [94,] 10.15400711 8.93330962 [95,] 2.27602752 10.15400711 [96,] -0.31969792 2.27602752 [97,] 3.74218410 -0.31969792 [98,] -9.99501211 3.74218410 [99,] 17.27474562 -9.99501211 [100,] -9.39573927 17.27474562 [101,] 5.91434833 -9.39573927 [102,] -17.50118864 5.91434833 [103,] -12.41865062 -17.50118864 [104,] 7.92358151 -12.41865062 [105,] -12.39744630 7.92358151 [106,] 7.14897007 -12.39744630 [107,] 7.25181923 7.14897007 [108,] -25.81440581 7.25181923 [109,] -15.29534571 -25.81440581 [110,] 8.27123712 -15.29534571 [111,] -2.61967713 8.27123712 [112,] 3.38583996 -2.61967713 [113,] -4.11262066 3.38583996 [114,] -0.88985038 -4.11262066 [115,] -7.25765726 -0.88985038 [116,] 29.31590706 -7.25765726 [117,] 2.26009377 29.31590706 [118,] 13.39820247 2.26009377 [119,] -3.93886826 13.39820247 [120,] 6.86690423 -3.93886826 [121,] -7.96323883 6.86690423 [122,] -17.39159792 -7.96323883 [123,] -10.76871824 -17.39159792 [124,] -4.99834853 -10.76871824 [125,] -7.00767896 -4.99834853 [126,] 6.83784659 -7.00767896 [127,] -8.15465424 6.83784659 [128,] 20.89859760 -8.15465424 [129,] 1.95341519 20.89859760 [130,] 3.59876583 1.95341519 [131,] 8.65721760 3.59876583 [132,] -6.59570257 8.65721760 [133,] -23.40041704 -6.59570257 [134,] 14.32798034 -23.40041704 [135,] -14.05092620 14.32798034 [136,] 13.57013585 -14.05092620 [137,] -8.62304830 13.57013585 [138,] 9.67282635 -8.62304830 [139,] -2.53164643 9.67282635 [140,] -12.29021508 -2.53164643 [141,] 22.78834056 -12.29021508 [142,] -1.25356560 22.78834056 [143,] 10.94674378 -1.25356560 [144,] 5.16375078 10.94674378 [145,] -27.18393983 5.16375078 [146,] -5.83697865 -27.18393983 [147,] -3.16833129 -5.83697865 [148,] 0.43401643 -3.16833129 [149,] 1.26541276 0.43401643 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -10.95430666 2.44467676 2 -5.26227819 -10.95430666 3 -6.72623470 -5.26227819 4 0.30786672 -6.72623470 5 -13.77729804 0.30786672 6 37.51683869 -13.77729804 7 -12.20957555 37.51683869 8 -2.44863998 -12.20957555 9 7.87572704 -2.44863998 10 -2.10950601 7.87572704 11 -20.85737584 -2.10950601 12 -7.27862114 -20.85737584 13 5.80964157 -7.27862114 14 -2.63072325 5.80964157 15 3.09576944 -2.63072325 16 6.59331902 3.09576944 17 2.69913779 6.59331902 18 -3.31602533 2.69913779 19 -1.93580748 -3.31602533 20 1.87623745 -1.93580748 21 37.58250593 1.87623745 22 3.96594096 37.58250593 23 -11.41234178 3.96594096 24 -8.07882525 -11.41234178 25 -8.52659150 -8.07882525 26 -0.48763639 -8.52659150 27 1.98826363 -0.48763639 28 0.96582141 1.98826363 29 11.47096345 0.96582141 30 2.51654760 11.47096345 31 -9.51416527 2.51654760 32 8.43273087 -9.51416527 33 -9.62039830 8.43273087 34 20.85225053 -9.62039830 35 12.36983816 20.85225053 36 21.02614051 12.36983816 37 0.06647690 21.02614051 38 6.39100227 0.06647690 39 4.09687937 6.39100227 40 21.38048492 4.09687937 41 -3.24795057 21.38048492 42 2.31323526 -3.24795057 43 -6.64857340 2.31323526 44 -9.71410872 -6.64857340 45 28.92513040 -9.71410872 46 -13.70573103 28.92513040 47 -1.77131366 -13.70573103 48 1.22187745 -1.77131366 49 -4.90004460 1.22187745 50 1.09799939 -4.90004460 51 -2.78972930 1.09799939 52 -15.81887572 -2.78972930 53 -4.79173222 -15.81887572 54 -2.23029573 -4.79173222 55 16.10920938 -2.23029573 56 -6.90343689 16.10920938 57 -5.92684482 -6.90343689 58 8.76421324 -5.92684482 59 1.75885482 8.76421324 60 7.45578951 1.75885482 61 6.53396346 7.45578951 62 -4.55277574 6.53396346 63 2.45564882 -4.55277574 64 0.79709427 2.45564882 65 6.01924736 0.79709427 66 -16.57354852 6.01924736 67 -14.77340804 -16.57354852 68 1.52000142 -14.77340804 69 -5.30943899 1.52000142 70 -2.62469784 -5.30943899 71 -6.55708992 -2.62469784 72 -3.48602196 -6.55708992 73 3.42273567 -3.48602196 74 -6.80722189 3.42273567 75 12.26323094 -6.80722189 76 14.71077483 12.26323094 77 -30.20095380 14.71077483 78 -7.63215667 -30.20095380 79 -3.51975061 -7.63215667 80 0.91610061 -3.51975061 81 25.67387261 0.91610061 82 1.17074354 25.67387261 83 -5.51477866 1.17074354 84 2.66678984 -5.51477866 85 1.94345342 2.66678984 86 -9.29453558 1.94345342 87 6.71016629 -9.29453558 88 4.37363184 6.71016629 89 -19.42538720 4.37363184 90 1.57781074 -19.42538720 91 0.03933554 1.57781074 92 -0.95627848 0.03933554 93 8.93330962 -0.95627848 94 10.15400711 8.93330962 95 2.27602752 10.15400711 96 -0.31969792 2.27602752 97 3.74218410 -0.31969792 98 -9.99501211 3.74218410 99 17.27474562 -9.99501211 100 -9.39573927 17.27474562 101 5.91434833 -9.39573927 102 -17.50118864 5.91434833 103 -12.41865062 -17.50118864 104 7.92358151 -12.41865062 105 -12.39744630 7.92358151 106 7.14897007 -12.39744630 107 7.25181923 7.14897007 108 -25.81440581 7.25181923 109 -15.29534571 -25.81440581 110 8.27123712 -15.29534571 111 -2.61967713 8.27123712 112 3.38583996 -2.61967713 113 -4.11262066 3.38583996 114 -0.88985038 -4.11262066 115 -7.25765726 -0.88985038 116 29.31590706 -7.25765726 117 2.26009377 29.31590706 118 13.39820247 2.26009377 119 -3.93886826 13.39820247 120 6.86690423 -3.93886826 121 -7.96323883 6.86690423 122 -17.39159792 -7.96323883 123 -10.76871824 -17.39159792 124 -4.99834853 -10.76871824 125 -7.00767896 -4.99834853 126 6.83784659 -7.00767896 127 -8.15465424 6.83784659 128 20.89859760 -8.15465424 129 1.95341519 20.89859760 130 3.59876583 1.95341519 131 8.65721760 3.59876583 132 -6.59570257 8.65721760 133 -23.40041704 -6.59570257 134 14.32798034 -23.40041704 135 -14.05092620 14.32798034 136 13.57013585 -14.05092620 137 -8.62304830 13.57013585 138 9.67282635 -8.62304830 139 -2.53164643 9.67282635 140 -12.29021508 -2.53164643 141 22.78834056 -12.29021508 142 -1.25356560 22.78834056 143 10.94674378 -1.25356560 144 5.16375078 10.94674378 145 -27.18393983 5.16375078 146 -5.83697865 -27.18393983 147 -3.16833129 -5.83697865 148 0.43401643 -3.16833129 149 1.26541276 0.43401643 > 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/7v7ow1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8jd6w1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/927lz1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10t78a1355861651.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11fcoc1355861651.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/12e20n1355861651.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/132loh1355861651.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/14tfd71355861651.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/15tqt81355861651.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/16s4b11355861651.tab") + } > > try(system("convert tmp/1ypkm1355861650.ps tmp/1ypkm1355861650.png",intern=TRUE)) character(0) > try(system("convert tmp/26ku81355861651.ps tmp/26ku81355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/3vojb1355861651.ps tmp/3vojb1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/4f27w1355861651.ps tmp/4f27w1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/5zopi1355861651.ps tmp/5zopi1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/6why41355861651.ps tmp/6why41355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/7v7ow1355861651.ps tmp/7v7ow1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/8jd6w1355861651.ps tmp/8jd6w1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/927lz1355861651.ps tmp/927lz1355861651.png",intern=TRUE)) character(0) > try(system("convert tmp/10t78a1355861651.ps tmp/10t78a1355861651.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 7.885 1.305 9.254