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(1 + ,1 + ,1 + ,1167 + ,333 + ,70 + ,1 + ,2 + ,2 + ,669 + ,223 + ,44 + ,1 + ,3 + ,3 + ,1053 + ,371 + ,35 + ,1 + ,4 + ,4 + ,1939 + ,873 + ,119 + ,1 + ,5 + ,5 + ,678 + ,186 + ,30 + ,1 + ,6 + ,6 + ,321 + ,111 + ,23 + ,1 + ,7 + ,7 + ,2667 + ,1277 + ,46 + ,1 + ,8 + ,8 + ,345 + ,102 + ,39 + ,1 + ,9 + ,9 + ,1367 + ,580 + ,58 + ,1 + ,10 + ,10 + ,1158 + ,420 + ,51 + ,1 + ,11 + ,11 + ,1385 + ,521 + ,65 + ,1 + ,12 + ,12 + ,1155 + ,358 + ,40 + ,1 + ,13 + ,13 + ,1120 + ,435 + ,41 + ,1 + ,14 + ,14 + ,1703 + ,690 + ,76 + ,1 + ,15 + ,15 + ,1189 + ,393 + ,31 + ,1 + ,16 + ,16 + ,3083 + ,1149 + ,82 + ,1 + ,17 + ,17 + ,1357 + ,486 + ,36 + ,1 + ,18 + ,18 + ,1892 + ,767 + ,62 + ,1 + ,19 + ,19 + ,883 + ,338 + ,28 + ,1 + ,20 + ,20 + ,1627 + ,485 + ,38 + ,1 + ,21 + ,21 + ,1412 + ,465 + ,70 + ,1 + ,22 + ,22 + ,1900 + ,816 + ,76 + ,1 + ,23 + ,23 + ,777 + ,265 + ,33 + ,1 + ,24 + ,24 + ,904 + ,307 + ,40 + ,1 + ,25 + ,25 + ,2115 + ,850 + ,126 + ,1 + ,26 + ,26 + ,1858 + ,704 + ,56 + ,1 + ,27 + ,27 + ,1781 + ,693 + ,63 + ,1 + ,28 + ,28 + ,1286 + ,387 + ,46 + ,1 + ,29 + ,29 + ,1035 + ,406 + ,35 + ,1 + ,30 + ,30 + ,1557 + ,573 + ,108 + ,0 + ,31 + ,0 + ,1527 + ,595 + ,34 + ,0 + ,32 + ,0 + ,1220 + ,394 + ,54 + ,0 + ,33 + ,0 + ,1368 + ,521 + ,35 + ,0 + ,34 + ,0 + ,564 + ,172 + ,23 + ,0 + ,35 + ,0 + ,1990 + ,835 + ,46 + ,0 + ,36 + ,0 + ,1557 + ,669 + ,49 + ,0 + ,37 + ,0 + ,2057 + ,749 + ,56 + ,0 + ,38 + ,0 + ,1111 + ,368 + ,38 + ,0 + ,39 + ,0 + ,686 + ,216 + ,19 + ,0 + ,40 + ,0 + ,2011 + ,772 + ,29 + ,0 + ,41 + ,0 + ,2232 + ,1084 + ,26 + ,0 + ,42 + ,0 + ,1032 + ,445 + ,52 + ,0 + ,43 + ,0 + ,1166 + ,451 + ,54 + ,0 + ,44 + ,0 + ,1020 + ,300 + ,45 + ,0 + ,45 + ,0 + ,1735 + ,836 + ,56 + ,0 + ,46 + ,0 + ,3623 + ,1417 + ,596 + ,0 + ,47 + ,0 + ,918 + ,330 + ,57 + ,0 + ,48 + ,0 + ,1579 + ,477 + ,55 + ,0 + ,49 + ,0 + ,2790 + ,1028 + ,99 + ,0 + ,50 + ,0 + ,1496 + ,646 + ,51 + ,0 + ,51 + ,0 + ,1108 + ,342 + ,21 + ,0 + ,52 + ,0 + ,496 + ,218 + ,20 + ,0 + ,53 + ,0 + ,1750 + ,591 + ,58 + ,0 + ,54 + ,0 + ,744 + ,255 + ,21 + ,0 + ,55 + ,0 + ,1101 + ,434 + ,66 + ,0 + ,56 + ,0 + ,1612 + ,654 + ,47 + ,0 + ,57 + ,0 + ,1805 + ,478 + ,55 + ,0 + ,58 + ,0 + ,2460 + ,753 + ,158 + ,0 + ,59 + ,0 + ,1653 + ,689 + ,46 + ,0 + ,60 + ,0 + ,1234 + ,470 + ,45) + ,dim=c(6 + ,60) + ,dimnames=list(c('Pop' + ,'t' + ,'Pop_t' + ,'Pageviews' + ,'CourseCompView' + ,'CompendiumView_PR') + ,1:60)) > y <- array(NA,dim=c(6,60),dimnames=list(c('Pop','t','Pop_t','Pageviews','CourseCompView','CompendiumView_PR'),1:60)) > 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' > 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 Pageviews Pop t Pop_t CourseCompView CompendiumView_PR 1 1167 1 1 1 333 70 2 669 1 2 2 223 44 3 1053 1 3 3 371 35 4 1939 1 4 4 873 119 5 678 1 5 5 186 30 6 321 1 6 6 111 23 7 2667 1 7 7 1277 46 8 345 1 8 8 102 39 9 1367 1 9 9 580 58 10 1158 1 10 10 420 51 11 1385 1 11 11 521 65 12 1155 1 12 12 358 40 13 1120 1 13 13 435 41 14 1703 1 14 14 690 76 15 1189 1 15 15 393 31 16 3083 1 16 16 1149 82 17 1357 1 17 17 486 36 18 1892 1 18 18 767 62 19 883 1 19 19 338 28 20 1627 1 20 20 485 38 21 1412 1 21 21 465 70 22 1900 1 22 22 816 76 23 777 1 23 23 265 33 24 904 1 24 24 307 40 25 2115 1 25 25 850 126 26 1858 1 26 26 704 56 27 1781 1 27 27 693 63 28 1286 1 28 28 387 46 29 1035 1 29 29 406 35 30 1557 1 30 30 573 108 31 1527 0 31 0 595 34 32 1220 0 32 0 394 54 33 1368 0 33 0 521 35 34 564 0 34 0 172 23 35 1990 0 35 0 835 46 36 1557 0 36 0 669 49 37 2057 0 37 0 749 56 38 1111 0 38 0 368 38 39 686 0 39 0 216 19 40 2011 0 40 0 772 29 41 2232 0 41 0 1084 26 42 1032 0 42 0 445 52 43 1166 0 43 0 451 54 44 1020 0 44 0 300 45 45 1735 0 45 0 836 56 46 3623 0 46 0 1417 596 47 918 0 47 0 330 57 48 1579 0 48 0 477 55 49 2790 0 49 0 1028 99 50 1496 0 50 0 646 51 51 1108 0 51 0 342 21 52 496 0 52 0 218 20 53 1750 0 53 0 591 58 54 744 0 54 0 255 21 55 1101 0 55 0 434 66 56 1612 0 56 0 654 47 57 1805 0 57 0 478 55 58 2460 0 58 0 753 158 59 1653 0 59 0 689 46 60 1234 0 60 0 470 45 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Pop t Pop_t 61.11336 123.68219 4.83284 0.08484 CourseCompView CompendiumView_PR 2.05542 0.93691 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -314.39 -122.74 -25.29 88.99 434.39 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 61.11336 181.50531 0.337 0.7376 Pop 123.68219 187.00895 0.661 0.5112 t 4.83284 3.76661 1.283 0.2049 Pop_t 0.08484 5.33740 0.016 0.9874 CourseCompView 2.05542 0.09889 20.784 <2e-16 *** CompendiumView_PR 0.93691 0.36851 2.542 0.0139 * --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 177.5 on 54 degrees of freedom Multiple R-squared: 0.9311, Adjusted R-squared: 0.9247 F-statistic: 145.8 on 5 and 54 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,] 0.4078993665 0.815798733 0.5921006 [2,] 0.4141966377 0.828393275 0.5858034 [3,] 0.3563867313 0.712773463 0.6436133 [4,] 0.3746783907 0.749356781 0.6253216 [5,] 0.2670318861 0.534063772 0.7329681 [6,] 0.1854531934 0.370906387 0.8145468 [7,] 0.1449425038 0.289885008 0.8550575 [8,] 0.4943586695 0.988717339 0.5056413 [9,] 0.3939899425 0.787979885 0.6060101 [10,] 0.3206256554 0.641251311 0.6793743 [11,] 0.3066452899 0.613290580 0.6933547 [12,] 0.3894599842 0.778919968 0.6105400 [13,] 0.3224267467 0.644853493 0.6775733 [14,] 0.3366594899 0.673318980 0.6633405 [15,] 0.3001431806 0.600286361 0.6998568 [16,] 0.2463325208 0.492665042 0.7536675 [17,] 0.1979407111 0.395881422 0.8020593 [18,] 0.1444931477 0.288986295 0.8555069 [19,] 0.1055196863 0.211039373 0.8944803 [20,] 0.0853661850 0.170732370 0.9146338 [21,] 0.0748481098 0.149696220 0.9251519 [22,] 0.0507366066 0.101473213 0.9492634 [23,] 0.0330222449 0.066044490 0.9669778 [24,] 0.0233316453 0.046663291 0.9766684 [25,] 0.0153770825 0.030754165 0.9846229 [26,] 0.0092426085 0.018485217 0.9907574 [27,] 0.0052501415 0.010500283 0.9947499 [28,] 0.0029384372 0.005876874 0.9970616 [29,] 0.0053357317 0.010671463 0.9946643 [30,] 0.0034499292 0.006899858 0.9965501 [31,] 0.0019713198 0.003942640 0.9980287 [32,] 0.0019853682 0.003970736 0.9980146 [33,] 0.0030345439 0.006069088 0.9969655 [34,] 0.0019673519 0.003934704 0.9980326 [35,] 0.0009469185 0.001893837 0.9990531 [36,] 0.0008883628 0.001776726 0.9991116 [37,] 0.0020805661 0.004161132 0.9979194 [38,] 0.0148711687 0.029742337 0.9851288 [39,] 0.0123641568 0.024728314 0.9876358 [40,] 0.0204461798 0.040892360 0.9795538 [41,] 0.0203083794 0.040616759 0.9796916 [42,] 0.0173909701 0.034781940 0.9826090 [43,] 0.0116170302 0.023234060 0.9883830 > postscript(file="/var/wessaorg/rcomp/tmp/18bpw1321900114.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/2r3601321900114.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3x0b51321900114.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4qees1321900114.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5gyyf1321900114.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 = 60 Frequency = 1 1 2 3 4 5 6 227.2476741 -25.2139731 58.0981521 -171.3416085 58.2003142 -143.0023843 7 8 9 10 11 12 -220.0904923 -125.3295274 -108.5399934 12.9681367 14.3361330 137.8749154 13 14 15 16 17 18 -61.2471363 -40.0891721 93.6143017 381.0155214 55.9401791 -15.9106220 19 20 21 22 23 24 -116.1975234 311.3687250 102.5783364 -141.4137618 -96.5070449 -67.3108063 25 26 27 28 29 30 -57.8966697 45.8609166 -20.0055047 124.9632705 -159.7014084 -54.2689476 31 32 33 34 35 36 61.2377256 143.8063968 43.7363190 -36.5114920 0.3622614 -99.0813429 37 38 39 40 41 42 225.0937191 74.2408590 -25.3666169 142.6170740 -279.6965505 -195.4747196 43 44 45 46 47 48 -80.5139135 87.4540847 -314.3907046 -131.3550821 -101.9500179 253.9439966 49 50 51 52 53 54 286.3498403 -182.3402852 77.7823235 -283.2413425 163.6509929 -121.8945369 55 56 57 58 59 60 -179.8088012 -108.0330796 434.3929790 422.8174443 -152.5344542 -125.2930766 > postscript(file="/var/wessaorg/rcomp/tmp/6omgz1321900114.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 = 60 Frequency = 1 lag(myerror, k = 1) myerror 0 227.2476741 NA 1 -25.2139731 227.2476741 2 58.0981521 -25.2139731 3 -171.3416085 58.0981521 4 58.2003142 -171.3416085 5 -143.0023843 58.2003142 6 -220.0904923 -143.0023843 7 -125.3295274 -220.0904923 8 -108.5399934 -125.3295274 9 12.9681367 -108.5399934 10 14.3361330 12.9681367 11 137.8749154 14.3361330 12 -61.2471363 137.8749154 13 -40.0891721 -61.2471363 14 93.6143017 -40.0891721 15 381.0155214 93.6143017 16 55.9401791 381.0155214 17 -15.9106220 55.9401791 18 -116.1975234 -15.9106220 19 311.3687250 -116.1975234 20 102.5783364 311.3687250 21 -141.4137618 102.5783364 22 -96.5070449 -141.4137618 23 -67.3108063 -96.5070449 24 -57.8966697 -67.3108063 25 45.8609166 -57.8966697 26 -20.0055047 45.8609166 27 124.9632705 -20.0055047 28 -159.7014084 124.9632705 29 -54.2689476 -159.7014084 30 61.2377256 -54.2689476 31 143.8063968 61.2377256 32 43.7363190 143.8063968 33 -36.5114920 43.7363190 34 0.3622614 -36.5114920 35 -99.0813429 0.3622614 36 225.0937191 -99.0813429 37 74.2408590 225.0937191 38 -25.3666169 74.2408590 39 142.6170740 -25.3666169 40 -279.6965505 142.6170740 41 -195.4747196 -279.6965505 42 -80.5139135 -195.4747196 43 87.4540847 -80.5139135 44 -314.3907046 87.4540847 45 -131.3550821 -314.3907046 46 -101.9500179 -131.3550821 47 253.9439966 -101.9500179 48 286.3498403 253.9439966 49 -182.3402852 286.3498403 50 77.7823235 -182.3402852 51 -283.2413425 77.7823235 52 163.6509929 -283.2413425 53 -121.8945369 163.6509929 54 -179.8088012 -121.8945369 55 -108.0330796 -179.8088012 56 434.3929790 -108.0330796 57 422.8174443 434.3929790 58 -152.5344542 422.8174443 59 -125.2930766 -152.5344542 60 NA -125.2930766 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -25.2139731 227.2476741 [2,] 58.0981521 -25.2139731 [3,] -171.3416085 58.0981521 [4,] 58.2003142 -171.3416085 [5,] -143.0023843 58.2003142 [6,] -220.0904923 -143.0023843 [7,] -125.3295274 -220.0904923 [8,] -108.5399934 -125.3295274 [9,] 12.9681367 -108.5399934 [10,] 14.3361330 12.9681367 [11,] 137.8749154 14.3361330 [12,] -61.2471363 137.8749154 [13,] -40.0891721 -61.2471363 [14,] 93.6143017 -40.0891721 [15,] 381.0155214 93.6143017 [16,] 55.9401791 381.0155214 [17,] -15.9106220 55.9401791 [18,] -116.1975234 -15.9106220 [19,] 311.3687250 -116.1975234 [20,] 102.5783364 311.3687250 [21,] -141.4137618 102.5783364 [22,] -96.5070449 -141.4137618 [23,] -67.3108063 -96.5070449 [24,] -57.8966697 -67.3108063 [25,] 45.8609166 -57.8966697 [26,] -20.0055047 45.8609166 [27,] 124.9632705 -20.0055047 [28,] -159.7014084 124.9632705 [29,] -54.2689476 -159.7014084 [30,] 61.2377256 -54.2689476 [31,] 143.8063968 61.2377256 [32,] 43.7363190 143.8063968 [33,] -36.5114920 43.7363190 [34,] 0.3622614 -36.5114920 [35,] -99.0813429 0.3622614 [36,] 225.0937191 -99.0813429 [37,] 74.2408590 225.0937191 [38,] -25.3666169 74.2408590 [39,] 142.6170740 -25.3666169 [40,] -279.6965505 142.6170740 [41,] -195.4747196 -279.6965505 [42,] -80.5139135 -195.4747196 [43,] 87.4540847 -80.5139135 [44,] -314.3907046 87.4540847 [45,] -131.3550821 -314.3907046 [46,] -101.9500179 -131.3550821 [47,] 253.9439966 -101.9500179 [48,] 286.3498403 253.9439966 [49,] -182.3402852 286.3498403 [50,] 77.7823235 -182.3402852 [51,] -283.2413425 77.7823235 [52,] 163.6509929 -283.2413425 [53,] -121.8945369 163.6509929 [54,] -179.8088012 -121.8945369 [55,] -108.0330796 -179.8088012 [56,] 434.3929790 -108.0330796 [57,] 422.8174443 434.3929790 [58,] -152.5344542 422.8174443 [59,] -125.2930766 -152.5344542 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -25.2139731 227.2476741 2 58.0981521 -25.2139731 3 -171.3416085 58.0981521 4 58.2003142 -171.3416085 5 -143.0023843 58.2003142 6 -220.0904923 -143.0023843 7 -125.3295274 -220.0904923 8 -108.5399934 -125.3295274 9 12.9681367 -108.5399934 10 14.3361330 12.9681367 11 137.8749154 14.3361330 12 -61.2471363 137.8749154 13 -40.0891721 -61.2471363 14 93.6143017 -40.0891721 15 381.0155214 93.6143017 16 55.9401791 381.0155214 17 -15.9106220 55.9401791 18 -116.1975234 -15.9106220 19 311.3687250 -116.1975234 20 102.5783364 311.3687250 21 -141.4137618 102.5783364 22 -96.5070449 -141.4137618 23 -67.3108063 -96.5070449 24 -57.8966697 -67.3108063 25 45.8609166 -57.8966697 26 -20.0055047 45.8609166 27 124.9632705 -20.0055047 28 -159.7014084 124.9632705 29 -54.2689476 -159.7014084 30 61.2377256 -54.2689476 31 143.8063968 61.2377256 32 43.7363190 143.8063968 33 -36.5114920 43.7363190 34 0.3622614 -36.5114920 35 -99.0813429 0.3622614 36 225.0937191 -99.0813429 37 74.2408590 225.0937191 38 -25.3666169 74.2408590 39 142.6170740 -25.3666169 40 -279.6965505 142.6170740 41 -195.4747196 -279.6965505 42 -80.5139135 -195.4747196 43 87.4540847 -80.5139135 44 -314.3907046 87.4540847 45 -131.3550821 -314.3907046 46 -101.9500179 -131.3550821 47 253.9439966 -101.9500179 48 286.3498403 253.9439966 49 -182.3402852 286.3498403 50 77.7823235 -182.3402852 51 -283.2413425 77.7823235 52 163.6509929 -283.2413425 53 -121.8945369 163.6509929 54 -179.8088012 -121.8945369 55 -108.0330796 -179.8088012 56 434.3929790 -108.0330796 57 422.8174443 434.3929790 58 -152.5344542 422.8174443 59 -125.2930766 -152.5344542 > 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/7vdsy1321900114.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/8a29j1321900114.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/9eyg51321900114.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/102m501321900114.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11ng5d1321900114.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12vj5b1321900114.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13i3r71321900114.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14q86l1321900115.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/15lyjw1321900115.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/161sff1321900115.tab") + } > > try(system("convert tmp/18bpw1321900114.ps tmp/18bpw1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/2r3601321900114.ps tmp/2r3601321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/3x0b51321900114.ps tmp/3x0b51321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/4qees1321900114.ps tmp/4qees1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/5gyyf1321900114.ps tmp/5gyyf1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/6omgz1321900114.ps tmp/6omgz1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/7vdsy1321900114.ps tmp/7vdsy1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/8a29j1321900114.ps tmp/8a29j1321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/9eyg51321900114.ps tmp/9eyg51321900114.png",intern=TRUE)) character(0) > try(system("convert tmp/102m501321900114.ps tmp/102m501321900114.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.275 0.508 3.808