R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-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(5.776 + ,5.956 + ,6.257 + ,6.413 + ,6.662 + ,7.030 + ,7.157 + ,7.378 + ,7.599 + ,7.870 + ,4.265 + ,4.385 + ,4.612 + ,4.713 + ,4.926 + ,5.199 + ,5.324 + ,5.490 + ,5.666 + ,5.892 + ,3.255 + ,3.342 + ,3.500 + ,3.566 + ,3.701 + ,3.908 + ,3.974 + ,4.082 + ,4.193 + ,4.358 + ,3.545 + ,3.618 + ,3.771 + ,3.826 + ,3.946 + ,4.141 + ,4.211 + ,4.340 + ,4.463 + ,4.634 + ,2.920 + ,3.007 + ,3.167 + ,3.221 + ,3.340 + ,3.521 + ,3.579 + ,3.667 + ,3.769 + ,3.906 + ,3.269 + ,3.334 + ,3.485 + ,3.521 + ,3.627 + ,3.813 + ,3.863 + ,3.950 + ,4.029 + ,4.152 + ,2.953 + ,3.038 + ,3.193 + ,3.257 + ,3.383 + ,3.562 + ,3.653 + ,3.753 + ,3.865 + ,4.008 + ,3.316 + ,3.396 + ,3.535 + ,3.592 + ,3.713 + ,3.897 + ,3.948 + ,4.037 + ,4.140 + ,4.277 + ,3.184 + ,3.258 + ,3.408 + ,3.458 + ,3.584 + ,3.768 + ,3.824 + ,3.912 + ,4.011 + ,4.149 + ,2.687 + ,2.750 + ,2.865 + ,2.903 + ,3.006 + ,3.132 + ,3.176 + ,3.207 + ,3.261 + ,3.366 + ,3.195 + ,3.262 + ,3.408 + ,3.460 + ,3.575 + ,3.751 + ,3.802 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,2.790 + ,2.831 + ,2.912 + ,3.041 + ,3.079 + ,3.135 + ,3.199 + ,3.303 + ,1.783 + ,1.817 + ,1.887 + ,1.916 + ,1.975 + ,2.065 + ,2.090 + ,2.159 + ,2.230 + ,2.328 + ,1.579 + ,1.609 + ,1.673 + ,1.697 + ,1.746 + ,1.823 + ,1.851 + ,1.897 + ,1.965 + ,2.047 + ,1.671 + ,1.703 + ,1.775 + ,1.795 + ,1.845 + ,1.927 + ,1.958 + ,2.022 + ,2.090 + ,2.175 + ,1.774 + ,1.808 + ,1.878 + ,1.907 + ,1.966 + ,2.055 + ,2.080 + ,2.106 + ,2.162 + ,2.249 + ,1.687 + ,1.719 + ,1.785 + ,1.813 + ,1.862 + ,1.950 + ,1.977 + ,2.028 + ,2.078 + ,2.149 + ,1.838 + ,1.874 + ,1.947 + ,1.970 + ,2.034 + ,2.127 + ,2.145 + ,2.212 + ,2.274 + ,2.373 + ,1.761 + ,1.799 + ,1.870 + ,1.897 + ,1.965 + ,2.057 + ,2.105 + ,2.169 + ,2.247 + ,2.332 + ,1.899 + ,1.933 + ,2.008 + ,2.035 + ,2.104 + ,2.204 + ,2.216 + ,2.252 + ,2.306 + ,2.370) + ,dim=c(10 + ,75) + ,dimnames=list(c('1999' + ,'2000' + ,'2001' + ,'2002' + ,'2003' + ,'2004' + ,'2005' + ,'2006' + ,'2007' + ,'2008') + ,1:75)) > y <- array(NA,dim=c(10,75),dimnames=list(c('1999','2000','2001','2002','2003','2004','2005','2006','2007','2008'),1:75)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo > 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 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 1 5.776 5.956 6.257 6.413 6.662 7.030 7.157 7.378 7.599 7.870 2 4.265 4.385 4.612 4.713 4.926 5.199 5.324 5.490 5.666 5.892 3 3.255 3.342 3.500 3.566 3.701 3.908 3.974 4.082 4.193 4.358 4 3.545 3.618 3.771 3.826 3.946 4.141 4.211 4.340 4.463 4.634 5 2.920 3.007 3.167 3.221 3.340 3.521 3.579 3.667 3.769 3.906 6 3.269 3.334 3.485 3.521 3.627 3.813 3.863 3.950 4.029 4.152 7 2.953 3.038 3.193 3.257 3.383 3.562 3.653 3.753 3.865 4.008 8 3.316 3.396 3.535 3.592 3.713 3.897 3.948 4.037 4.140 4.277 9 3.184 3.258 3.408 3.458 3.584 3.768 3.824 3.912 4.011 4.149 10 2.687 2.750 2.865 2.903 3.006 3.132 3.176 3.207 3.261 3.366 11 3.195 3.262 3.408 3.460 3.575 3.751 3.802 3.892 3.996 4.137 12 2.759 2.841 2.978 3.024 3.135 3.297 3.343 3.427 3.518 3.657 13 2.615 2.677 2.799 2.834 2.903 3.046 3.092 3.162 3.240 3.347 14 2.504 2.555 2.667 2.689 2.758 2.877 2.918 2.974 3.045 3.143 15 2.381 2.452 2.571 2.629 2.733 2.898 2.949 3.032 3.108 3.215 16 2.788 2.855 2.984 3.036 3.155 3.321 3.380 3.469 3.563 3.697 17 2.562 2.633 2.765 2.814 2.922 3.080 3.118 3.191 3.293 3.410 18 2.338 2.391 2.489 2.524 2.607 2.738 2.776 2.836 2.907 3.000 19 2.477 2.534 2.648 2.686 2.790 2.943 3.001 3.076 3.200 3.337 20 2.529 2.598 2.725 2.782 2.891 3.046 3.102 3.178 3.250 3.357 21 2.375 2.438 2.563 2.612 2.721 2.865 2.912 2.984 3.068 3.178 22 2.097 2.142 2.235 2.266 2.346 2.469 2.521 2.595 2.664 2.763 23 2.224 2.277 2.375 2.422 2.519 2.650 2.694 2.764 2.851 2.956 24 2.156 2.205 2.303 2.335 2.413 2.522 2.560 2.619 2.673 2.759 25 1.718 1.758 1.817 1.834 1.900 2.003 2.042 2.094 2.155 2.240 26 2.188 2.242 2.349 2.388 2.463 2.576 2.615 2.649 2.705 2.783 27 1.875 1.929 2.022 2.059 2.124 2.220 2.252 2.303 2.360 2.438 28 1.831 1.872 1.950 1.976 2.037 2.140 2.170 2.208 2.263 2.336 29 2.443 2.501 2.607 2.633 2.721 2.859 2.901 2.957 3.025 3.124 30 1.453 1.493 1.572 1.600 1.671 1.759 1.790 1.848 1.899 1.975 31 1.975 2.026 2.131 2.169 2.252 2.372 2.415 2.468 2.527 2.607 32 1.709 1.758 1.846 1.880 1.956 2.069 2.105 2.133 2.172 2.236 33 2.118 2.159 2.246 2.270 2.349 2.459 2.487 2.537 2.588 2.669 34 1.928 1.972 2.063 2.097 2.166 2.268 2.292 2.341 2.402 2.487 35 1.942 1.982 2.074 2.105 2.171 2.263 2.288 2.334 2.375 2.449 36 1.901 1.940 2.018 2.037 2.103 2.204 2.237 2.285 2.341 2.420 37 1.951 1.988 2.081 2.115 2.189 2.289 2.310 2.366 2.455 2.551 38 2.011 2.049 2.144 2.177 2.256 2.363 2.395 2.450 2.509 2.590 39 2.040 2.083 2.180 2.213 2.294 2.398 2.419 2.484 2.563 2.667 40 2.036 2.079 2.175 2.209 2.284 2.392 2.408 2.458 2.537 2.629 41 1.995 2.039 2.130 2.158 2.231 2.337 2.370 2.425 2.490 2.582 42 1.673 1.708 1.784 1.807 1.861 1.954 1.990 2.049 2.105 2.191 43 1.609 1.644 1.717 1.753 1.818 1.926 1.970 2.037 2.096 2.180 44 2.005 2.048 2.135 2.158 2.226 2.342 2.386 2.455 2.548 2.657 45 1.677 1.722 1.808 1.848 1.928 2.034 2.067 2.118 2.180 2.267 46 1.732 1.763 1.836 1.866 1.921 2.007 2.036 2.093 2.156 2.243 47 1.690 1.741 1.828 1.868 1.929 2.025 2.054 2.097 2.128 2.193 48 1.582 1.624 1.701 1.731 1.806 1.904 1.939 1.988 2.041 2.126 49 2.107 2.149 2.228 2.257 2.327 2.435 2.458 2.510 2.561 2.641 50 2.098 2.139 2.233 2.263 2.327 2.419 2.437 2.474 2.509 2.590 51 1.842 1.878 1.955 1.979 2.032 2.115 2.146 2.202 2.263 2.356 52 2.003 2.042 2.135 2.162 2.235 2.330 2.354 2.407 2.464 2.551 53 2.695 2.748 2.847 2.872 2.958 3.078 3.116 3.166 3.238 3.334 54 2.090 2.131 2.225 2.254 2.333 2.434 2.468 2.522 2.573 2.647 55 2.069 2.119 2.208 2.240 2.298 2.403 2.423 2.486 2.553 2.649 56 2.271 2.322 2.428 2.453 2.541 2.666 2.704 2.753 2.817 2.903 57 2.062 2.105 2.204 2.236 2.307 2.416 2.446 2.500 2.574 2.668 58 1.704 1.740 1.813 1.841 1.907 1.999 2.030 2.081 2.142 2.223 59 2.073 2.118 2.203 2.235 2.314 2.424 2.464 2.525 2.592 2.685 60 1.791 1.831 1.913 1.942 2.000 2.102 2.134 2.165 2.245 2.334 61 1.888 1.933 2.024 2.057 2.133 2.227 2.250 2.299 2.346 2.409 62 1.942 1.982 2.064 2.090 2.167 2.279 2.313 2.361 2.433 2.532 63 2.167 2.216 2.313 2.351 2.420 2.536 2.572 2.613 2.672 2.757 64 2.202 2.242 2.341 2.375 2.442 2.551 2.585 2.643 2.705 2.785 65 1.878 1.908 1.993 2.023 2.085 2.181 2.205 2.248 2.316 2.412 66 1.992 2.034 2.121 2.149 2.222 2.319 2.342 2.389 2.454 2.549 67 2.628 2.680 2.790 2.831 2.912 3.041 3.079 3.135 3.199 3.303 68 1.783 1.817 1.887 1.916 1.975 2.065 2.090 2.159 2.230 2.328 69 1.579 1.609 1.673 1.697 1.746 1.823 1.851 1.897 1.965 2.047 70 1.671 1.703 1.775 1.795 1.845 1.927 1.958 2.022 2.090 2.175 71 1.774 1.808 1.878 1.907 1.966 2.055 2.080 2.106 2.162 2.249 72 1.687 1.719 1.785 1.813 1.862 1.950 1.977 2.028 2.078 2.149 73 1.838 1.874 1.947 1.970 2.034 2.127 2.145 2.212 2.274 2.373 74 1.761 1.799 1.870 1.897 1.965 2.057 2.105 2.169 2.247 2.332 75 1.899 1.933 2.008 2.035 2.104 2.204 2.216 2.252 2.306 2.370 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) `2000` `2001` `2002` `2003` `2004` 0.004558 1.234814 0.082019 -0.309704 0.202492 -0.140345 `2005` `2006` `2007` `2008` -0.138042 -0.003981 0.101507 -0.028026 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -0.012958 -0.002304 0.000039 0.002444 0.010223 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.004558 0.002293 1.988 0.0510 . `2000` 1.234814 0.083059 14.867 <2e-16 *** `2001` 0.082019 0.140270 0.585 0.5608 `2002` -0.309704 0.127794 -2.423 0.0182 * `2003` 0.202492 0.120150 1.685 0.0967 . `2004` -0.140345 0.114452 -1.226 0.2245 `2005` -0.138042 0.099367 -1.389 0.1695 `2006` -0.003981 0.092215 -0.043 0.9657 `2007` 0.101507 0.136044 0.746 0.4583 `2008` -0.028026 0.082711 -0.339 0.7358 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.00455 on 65 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 1.798e+05 on 9 and 65 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,] 0.9413398 0.11732046 0.05866023 [2,] 0.9192006 0.16159886 0.08079943 [3,] 0.9681411 0.06371781 0.03185890 [4,] 0.9484414 0.10311729 0.05155865 [5,] 0.9349765 0.13004704 0.06502352 [6,] 0.9115251 0.17694986 0.08847493 [7,] 0.8715931 0.25681374 0.12840687 [8,] 0.8650382 0.26992368 0.13496184 [9,] 0.8581374 0.28372515 0.14186257 [10,] 0.8285638 0.34287243 0.17143621 [11,] 0.7764305 0.44713895 0.22356947 [12,] 0.7130966 0.57380684 0.28690342 [13,] 0.9324445 0.13511106 0.06755553 [14,] 0.9262502 0.14749967 0.07374983 [15,] 0.9690455 0.06190909 0.03095455 [16,] 0.9548099 0.09038019 0.04519009 [17,] 0.9717003 0.05659931 0.02829965 [18,] 0.9601245 0.07975108 0.03987554 [19,] 0.9475877 0.10482460 0.05241230 [20,] 0.9325733 0.13485333 0.06742667 [21,] 0.9094299 0.18114017 0.09057008 [22,] 0.9061527 0.18769469 0.09384735 [23,] 0.8947996 0.21040083 0.10520042 [24,] 0.8625195 0.27496105 0.13748053 [25,] 0.8778580 0.24428399 0.12214200 [26,] 0.9231497 0.15370067 0.07685034 [27,] 0.8912948 0.21741050 0.10870525 [28,] 0.8566483 0.28670331 0.14335166 [29,] 0.8094171 0.38116588 0.19058294 [30,] 0.7639827 0.47203469 0.23601735 [31,] 0.8692427 0.26151458 0.13075729 [32,] 0.8257072 0.34858569 0.17429285 [33,] 0.7767489 0.44650215 0.22325108 [34,] 0.7676120 0.46477607 0.23238803 [35,] 0.8504050 0.29919008 0.14959504 [36,] 0.8385278 0.32294449 0.16147225 [37,] 0.7823399 0.43532024 0.21766012 [38,] 0.7341862 0.53162755 0.26581377 [39,] 0.6712074 0.65758519 0.32879260 [40,] 0.5879559 0.82408817 0.41204408 [41,] 0.5911666 0.81766684 0.40883342 [42,] 0.5080354 0.98392927 0.49196464 [43,] 0.8645016 0.27099682 0.13549841 [44,] 0.7984541 0.40309181 0.20154590 [45,] 0.7182561 0.56348770 0.28174385 [46,] 0.6235486 0.75290289 0.37645144 [47,] 0.5014018 0.99719648 0.49859824 [48,] 0.6669839 0.66603214 0.33301607 [49,] 0.5241967 0.95160651 0.47580326 [50,] 0.3752444 0.75048877 0.62475562 > postscript(file="/var/wessaorg/rcomp/tmp/1m57b1322081365.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2vu1n1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3mtz91322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4escq1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5ernm1322081365.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 = 75 Frequency = 1 1 2 3 4 5 -5.991221e-03 6.109593e-03 1.427475e-03 6.076087e-03 -6.467091e-03 6 7 8 9 10 9.276720e-03 -2.010948e-03 -3.703063e-03 3.526457e-03 -3.828947e-03 11 12 13 14 15 7.712917e-03 -1.295822e-02 -3.032355e-03 -2.513900e-03 -8.937464e-04 16 17 18 19 20 3.125174e-03 -4.091248e-03 -1.589032e-03 1.396614e-03 1.621962e-03 21 22 23 24 25 1.307997e-03 2.770209e-03 1.254204e-03 -1.905965e-03 -7.766226e-03 26 27 28 29 30 -3.624656e-04 -9.392071e-03 -1.128714e-03 -5.206995e-03 -2.997305e-03 31 32 33 34 35 2.314350e-03 3.898553e-05 1.259739e-03 -6.823621e-05 2.540500e-03 36 37 38 39 40 -2.171758e-03 4.561120e-03 7.770117e-03 3.255171e-04 1.571101e-03 41 42 43 44 45 -1.050678e-03 6.840868e-04 7.057599e-03 -2.317206e-03 1.207652e-03 46 47 48 49 50 3.871258e-03 -4.839470e-03 -1.809931e-03 -1.010146e-03 2.347395e-03 51 52 53 54 55 -2.291101e-03 1.771240e-03 -6.350731e-03 2.556420e-03 -8.099829e-03 56 57 58 59 60 -9.654724e-04 2.910440e-03 1.124820e-04 -1.430896e-03 7.928983e-04 61 62 63 64 65 -2.638473e-03 1.767967e-03 1.871610e-03 6.902160e-03 1.022264e-02 66 67 68 69 70 -1.908679e-03 4.574684e-03 -7.132592e-04 -7.490819e-04 -2.120210e-03 71 72 73 74 75 2.866821e-03 1.798890e-03 -2.942231e-03 -3.577566e-03 3.591381e-03 > postscript(file="/var/wessaorg/rcomp/tmp/6g1jw1322081365.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 = 75 Frequency = 1 lag(myerror, k = 1) myerror 0 -5.991221e-03 NA 1 6.109593e-03 -5.991221e-03 2 1.427475e-03 6.109593e-03 3 6.076087e-03 1.427475e-03 4 -6.467091e-03 6.076087e-03 5 9.276720e-03 -6.467091e-03 6 -2.010948e-03 9.276720e-03 7 -3.703063e-03 -2.010948e-03 8 3.526457e-03 -3.703063e-03 9 -3.828947e-03 3.526457e-03 10 7.712917e-03 -3.828947e-03 11 -1.295822e-02 7.712917e-03 12 -3.032355e-03 -1.295822e-02 13 -2.513900e-03 -3.032355e-03 14 -8.937464e-04 -2.513900e-03 15 3.125174e-03 -8.937464e-04 16 -4.091248e-03 3.125174e-03 17 -1.589032e-03 -4.091248e-03 18 1.396614e-03 -1.589032e-03 19 1.621962e-03 1.396614e-03 20 1.307997e-03 1.621962e-03 21 2.770209e-03 1.307997e-03 22 1.254204e-03 2.770209e-03 23 -1.905965e-03 1.254204e-03 24 -7.766226e-03 -1.905965e-03 25 -3.624656e-04 -7.766226e-03 26 -9.392071e-03 -3.624656e-04 27 -1.128714e-03 -9.392071e-03 28 -5.206995e-03 -1.128714e-03 29 -2.997305e-03 -5.206995e-03 30 2.314350e-03 -2.997305e-03 31 3.898553e-05 2.314350e-03 32 1.259739e-03 3.898553e-05 33 -6.823621e-05 1.259739e-03 34 2.540500e-03 -6.823621e-05 35 -2.171758e-03 2.540500e-03 36 4.561120e-03 -2.171758e-03 37 7.770117e-03 4.561120e-03 38 3.255171e-04 7.770117e-03 39 1.571101e-03 3.255171e-04 40 -1.050678e-03 1.571101e-03 41 6.840868e-04 -1.050678e-03 42 7.057599e-03 6.840868e-04 43 -2.317206e-03 7.057599e-03 44 1.207652e-03 -2.317206e-03 45 3.871258e-03 1.207652e-03 46 -4.839470e-03 3.871258e-03 47 -1.809931e-03 -4.839470e-03 48 -1.010146e-03 -1.809931e-03 49 2.347395e-03 -1.010146e-03 50 -2.291101e-03 2.347395e-03 51 1.771240e-03 -2.291101e-03 52 -6.350731e-03 1.771240e-03 53 2.556420e-03 -6.350731e-03 54 -8.099829e-03 2.556420e-03 55 -9.654724e-04 -8.099829e-03 56 2.910440e-03 -9.654724e-04 57 1.124820e-04 2.910440e-03 58 -1.430896e-03 1.124820e-04 59 7.928983e-04 -1.430896e-03 60 -2.638473e-03 7.928983e-04 61 1.767967e-03 -2.638473e-03 62 1.871610e-03 1.767967e-03 63 6.902160e-03 1.871610e-03 64 1.022264e-02 6.902160e-03 65 -1.908679e-03 1.022264e-02 66 4.574684e-03 -1.908679e-03 67 -7.132592e-04 4.574684e-03 68 -7.490819e-04 -7.132592e-04 69 -2.120210e-03 -7.490819e-04 70 2.866821e-03 -2.120210e-03 71 1.798890e-03 2.866821e-03 72 -2.942231e-03 1.798890e-03 73 -3.577566e-03 -2.942231e-03 74 3.591381e-03 -3.577566e-03 75 NA 3.591381e-03 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 6.109593e-03 -5.991221e-03 [2,] 1.427475e-03 6.109593e-03 [3,] 6.076087e-03 1.427475e-03 [4,] -6.467091e-03 6.076087e-03 [5,] 9.276720e-03 -6.467091e-03 [6,] -2.010948e-03 9.276720e-03 [7,] -3.703063e-03 -2.010948e-03 [8,] 3.526457e-03 -3.703063e-03 [9,] -3.828947e-03 3.526457e-03 [10,] 7.712917e-03 -3.828947e-03 [11,] -1.295822e-02 7.712917e-03 [12,] -3.032355e-03 -1.295822e-02 [13,] -2.513900e-03 -3.032355e-03 [14,] -8.937464e-04 -2.513900e-03 [15,] 3.125174e-03 -8.937464e-04 [16,] -4.091248e-03 3.125174e-03 [17,] -1.589032e-03 -4.091248e-03 [18,] 1.396614e-03 -1.589032e-03 [19,] 1.621962e-03 1.396614e-03 [20,] 1.307997e-03 1.621962e-03 [21,] 2.770209e-03 1.307997e-03 [22,] 1.254204e-03 2.770209e-03 [23,] -1.905965e-03 1.254204e-03 [24,] -7.766226e-03 -1.905965e-03 [25,] -3.624656e-04 -7.766226e-03 [26,] -9.392071e-03 -3.624656e-04 [27,] -1.128714e-03 -9.392071e-03 [28,] -5.206995e-03 -1.128714e-03 [29,] -2.997305e-03 -5.206995e-03 [30,] 2.314350e-03 -2.997305e-03 [31,] 3.898553e-05 2.314350e-03 [32,] 1.259739e-03 3.898553e-05 [33,] -6.823621e-05 1.259739e-03 [34,] 2.540500e-03 -6.823621e-05 [35,] -2.171758e-03 2.540500e-03 [36,] 4.561120e-03 -2.171758e-03 [37,] 7.770117e-03 4.561120e-03 [38,] 3.255171e-04 7.770117e-03 [39,] 1.571101e-03 3.255171e-04 [40,] -1.050678e-03 1.571101e-03 [41,] 6.840868e-04 -1.050678e-03 [42,] 7.057599e-03 6.840868e-04 [43,] -2.317206e-03 7.057599e-03 [44,] 1.207652e-03 -2.317206e-03 [45,] 3.871258e-03 1.207652e-03 [46,] -4.839470e-03 3.871258e-03 [47,] -1.809931e-03 -4.839470e-03 [48,] -1.010146e-03 -1.809931e-03 [49,] 2.347395e-03 -1.010146e-03 [50,] -2.291101e-03 2.347395e-03 [51,] 1.771240e-03 -2.291101e-03 [52,] -6.350731e-03 1.771240e-03 [53,] 2.556420e-03 -6.350731e-03 [54,] -8.099829e-03 2.556420e-03 [55,] -9.654724e-04 -8.099829e-03 [56,] 2.910440e-03 -9.654724e-04 [57,] 1.124820e-04 2.910440e-03 [58,] -1.430896e-03 1.124820e-04 [59,] 7.928983e-04 -1.430896e-03 [60,] -2.638473e-03 7.928983e-04 [61,] 1.767967e-03 -2.638473e-03 [62,] 1.871610e-03 1.767967e-03 [63,] 6.902160e-03 1.871610e-03 [64,] 1.022264e-02 6.902160e-03 [65,] -1.908679e-03 1.022264e-02 [66,] 4.574684e-03 -1.908679e-03 [67,] -7.132592e-04 4.574684e-03 [68,] -7.490819e-04 -7.132592e-04 [69,] -2.120210e-03 -7.490819e-04 [70,] 2.866821e-03 -2.120210e-03 [71,] 1.798890e-03 2.866821e-03 [72,] -2.942231e-03 1.798890e-03 [73,] -3.577566e-03 -2.942231e-03 [74,] 3.591381e-03 -3.577566e-03 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 6.109593e-03 -5.991221e-03 2 1.427475e-03 6.109593e-03 3 6.076087e-03 1.427475e-03 4 -6.467091e-03 6.076087e-03 5 9.276720e-03 -6.467091e-03 6 -2.010948e-03 9.276720e-03 7 -3.703063e-03 -2.010948e-03 8 3.526457e-03 -3.703063e-03 9 -3.828947e-03 3.526457e-03 10 7.712917e-03 -3.828947e-03 11 -1.295822e-02 7.712917e-03 12 -3.032355e-03 -1.295822e-02 13 -2.513900e-03 -3.032355e-03 14 -8.937464e-04 -2.513900e-03 15 3.125174e-03 -8.937464e-04 16 -4.091248e-03 3.125174e-03 17 -1.589032e-03 -4.091248e-03 18 1.396614e-03 -1.589032e-03 19 1.621962e-03 1.396614e-03 20 1.307997e-03 1.621962e-03 21 2.770209e-03 1.307997e-03 22 1.254204e-03 2.770209e-03 23 -1.905965e-03 1.254204e-03 24 -7.766226e-03 -1.905965e-03 25 -3.624656e-04 -7.766226e-03 26 -9.392071e-03 -3.624656e-04 27 -1.128714e-03 -9.392071e-03 28 -5.206995e-03 -1.128714e-03 29 -2.997305e-03 -5.206995e-03 30 2.314350e-03 -2.997305e-03 31 3.898553e-05 2.314350e-03 32 1.259739e-03 3.898553e-05 33 -6.823621e-05 1.259739e-03 34 2.540500e-03 -6.823621e-05 35 -2.171758e-03 2.540500e-03 36 4.561120e-03 -2.171758e-03 37 7.770117e-03 4.561120e-03 38 3.255171e-04 7.770117e-03 39 1.571101e-03 3.255171e-04 40 -1.050678e-03 1.571101e-03 41 6.840868e-04 -1.050678e-03 42 7.057599e-03 6.840868e-04 43 -2.317206e-03 7.057599e-03 44 1.207652e-03 -2.317206e-03 45 3.871258e-03 1.207652e-03 46 -4.839470e-03 3.871258e-03 47 -1.809931e-03 -4.839470e-03 48 -1.010146e-03 -1.809931e-03 49 2.347395e-03 -1.010146e-03 50 -2.291101e-03 2.347395e-03 51 1.771240e-03 -2.291101e-03 52 -6.350731e-03 1.771240e-03 53 2.556420e-03 -6.350731e-03 54 -8.099829e-03 2.556420e-03 55 -9.654724e-04 -8.099829e-03 56 2.910440e-03 -9.654724e-04 57 1.124820e-04 2.910440e-03 58 -1.430896e-03 1.124820e-04 59 7.928983e-04 -1.430896e-03 60 -2.638473e-03 7.928983e-04 61 1.767967e-03 -2.638473e-03 62 1.871610e-03 1.767967e-03 63 6.902160e-03 1.871610e-03 64 1.022264e-02 6.902160e-03 65 -1.908679e-03 1.022264e-02 66 4.574684e-03 -1.908679e-03 67 -7.132592e-04 4.574684e-03 68 -7.490819e-04 -7.132592e-04 69 -2.120210e-03 -7.490819e-04 70 2.866821e-03 -2.120210e-03 71 1.798890e-03 2.866821e-03 72 -2.942231e-03 1.798890e-03 73 -3.577566e-03 -2.942231e-03 74 3.591381e-03 -3.577566e-03 > 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/7ul2s1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8cb4z1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9hbad1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/106c1s1322081365.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11501k1322081366.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/12sda71322081366.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/135xtl1322081366.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/14zcit1322081366.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/15xkma1322081366.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/16wq9e1322081366.tab") + } > > try(system("convert tmp/1m57b1322081365.ps tmp/1m57b1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/2vu1n1322081365.ps tmp/2vu1n1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/3mtz91322081365.ps tmp/3mtz91322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/4escq1322081365.ps tmp/4escq1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/5ernm1322081365.ps tmp/5ernm1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/6g1jw1322081365.ps tmp/6g1jw1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/7ul2s1322081365.ps tmp/7ul2s1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/8cb4z1322081365.ps tmp/8cb4z1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/9hbad1322081365.ps tmp/9hbad1322081365.png",intern=TRUE)) character(0) > try(system("convert tmp/106c1s1322081365.ps tmp/106c1s1322081365.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.632 0.630 4.485