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Type 'q()' to quit R. > x <- array(list(97.3,332.9,90.45,341.6,80.64,333.4,80.58,348.2,75.82,344.7,85.59,344.7,89.35,329.3,89.42,323.5,104.73,323.2,95.32,317.4,89.27,330.1,90.44,329.2,86.97,334.9,79.98,315.8,81.22,315.4,87.35,319.6,83.64,317.3,82.22,313.8,94.4,315.8,102.18,311.3),dim=c(2,20),dimnames=list(c('Colombia','USA'),1:20)) > y <- array(NA,dim=c(2,20),dimnames=list(c('Colombia','USA'),1:20)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Include Monthly Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from package:base : as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x Colombia USA M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 1 97.30 332.9 1 0 0 0 0 0 0 0 0 0 0 2 90.45 341.6 0 1 0 0 0 0 0 0 0 0 0 3 80.64 333.4 0 0 1 0 0 0 0 0 0 0 0 4 80.58 348.2 0 0 0 1 0 0 0 0 0 0 0 5 75.82 344.7 0 0 0 0 1 0 0 0 0 0 0 6 85.59 344.7 0 0 0 0 0 1 0 0 0 0 0 7 89.35 329.3 0 0 0 0 0 0 1 0 0 0 0 8 89.42 323.5 0 0 0 0 0 0 0 1 0 0 0 9 104.73 323.2 0 0 0 0 0 0 0 0 1 0 0 10 95.32 317.4 0 0 0 0 0 0 0 0 0 1 0 11 89.27 330.1 0 0 0 0 0 0 0 0 0 0 1 12 90.44 329.2 0 0 0 0 0 0 0 0 0 0 0 13 86.97 334.9 1 0 0 0 0 0 0 0 0 0 0 14 79.98 315.8 0 1 0 0 0 0 0 0 0 0 0 15 81.22 315.4 0 0 1 0 0 0 0 0 0 0 0 16 87.35 319.6 0 0 0 1 0 0 0 0 0 0 0 17 83.64 317.3 0 0 0 0 1 0 0 0 0 0 0 18 82.22 313.8 0 0 0 0 0 1 0 0 0 0 0 19 94.40 315.8 0 0 0 0 0 0 1 0 0 0 0 20 102.18 311.3 0 0 0 0 0 0 0 1 0 0 0 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) USA M1 M2 M3 M4 115.12645 -0.07499 2.04745 -5.26249 -9.86995 -6.12255 M5 M6 M7 M8 M9 M10 -10.57502 -6.53125 0.93632 4.47513 13.84006 3.99513 M11 -1.10251 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -6.202e+00 -2.445e+00 1.940e-16 2.445e+00 6.202e+00 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 115.12645 45.32284 2.540 0.0387 * USA -0.07499 0.13647 -0.549 0.5997 M1 2.04745 7.35960 0.278 0.7889 M2 -5.26249 7.33191 -0.718 0.4962 M3 -9.86995 7.36080 -1.341 0.2218 M4 -6.12255 7.35960 -0.832 0.4329 M5 -10.57502 7.33571 -1.442 0.1926 M6 -6.53125 7.33160 -0.891 0.4026 M7 0.93632 7.38755 0.127 0.9027 M8 4.47513 7.50636 0.596 0.5698 M9 13.84006 8.50531 1.627 0.1477 M10 3.99513 8.61760 0.464 0.6570 M11 -1.10251 8.46669 -0.130 0.9001 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 5.986 on 7 degrees of freedom Multiple R-squared: 0.7729, Adjusted R-squared: 0.3836 F-statistic: 1.985 on 12 and 7 DF, p-value: 0.1850 > 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 + } > postscript(file="/var/www/html/freestat/rcomp/tmp/1k6hh1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/2dxg21290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/3dxg21290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/4dxg21290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/5dxg21290526792.ps",horizontal=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 = 20 Frequency = 1 1 2 3 4 5 5.090011e+00 6.202361e+00 3.849029e-01 -2.312654e+00 -2.882648e+00 6 7 8 9 10 2.843583e+00 -2.018823e+00 -5.922566e+00 1.939638e-16 1.939638e-16 11 12 13 14 15 -1.915460e-15 5.270307e-16 -5.090011e+00 -6.202361e+00 -3.849029e-01 16 17 18 19 20 2.312654e+00 2.882648e+00 -2.843583e+00 2.018823e+00 5.922566e+00 > postscript(file="/var/www/html/freestat/rcomp/tmp/666fn1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 20 Frequency = 1 lag(myerror, k = 1) myerror 0 5.090011e+00 NA 1 6.202361e+00 5.090011e+00 2 3.849029e-01 6.202361e+00 3 -2.312654e+00 3.849029e-01 4 -2.882648e+00 -2.312654e+00 5 2.843583e+00 -2.882648e+00 6 -2.018823e+00 2.843583e+00 7 -5.922566e+00 -2.018823e+00 8 1.939638e-16 -5.922566e+00 9 1.939638e-16 1.939638e-16 10 -1.915460e-15 1.939638e-16 11 5.270307e-16 -1.915460e-15 12 -5.090011e+00 5.270307e-16 13 -6.202361e+00 -5.090011e+00 14 -3.849029e-01 -6.202361e+00 15 2.312654e+00 -3.849029e-01 16 2.882648e+00 2.312654e+00 17 -2.843583e+00 2.882648e+00 18 2.018823e+00 -2.843583e+00 19 5.922566e+00 2.018823e+00 20 NA 5.922566e+00 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 6.202361e+00 5.090011e+00 [2,] 3.849029e-01 6.202361e+00 [3,] -2.312654e+00 3.849029e-01 [4,] -2.882648e+00 -2.312654e+00 [5,] 2.843583e+00 -2.882648e+00 [6,] -2.018823e+00 2.843583e+00 [7,] -5.922566e+00 -2.018823e+00 [8,] 1.939638e-16 -5.922566e+00 [9,] 1.939638e-16 1.939638e-16 [10,] -1.915460e-15 1.939638e-16 [11,] 5.270307e-16 -1.915460e-15 [12,] -5.090011e+00 5.270307e-16 [13,] -6.202361e+00 -5.090011e+00 [14,] -3.849029e-01 -6.202361e+00 [15,] 2.312654e+00 -3.849029e-01 [16,] 2.882648e+00 2.312654e+00 [17,] -2.843583e+00 2.882648e+00 [18,] 2.018823e+00 -2.843583e+00 [19,] 5.922566e+00 2.018823e+00 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 6.202361e+00 5.090011e+00 2 3.849029e-01 6.202361e+00 3 -2.312654e+00 3.849029e-01 4 -2.882648e+00 -2.312654e+00 5 2.843583e+00 -2.882648e+00 6 -2.018823e+00 2.843583e+00 7 -5.922566e+00 -2.018823e+00 8 1.939638e-16 -5.922566e+00 9 1.939638e-16 1.939638e-16 10 -1.915460e-15 1.939638e-16 11 5.270307e-16 -1.915460e-15 12 -5.090011e+00 5.270307e-16 13 -6.202361e+00 -5.090011e+00 14 -3.849029e-01 -6.202361e+00 15 2.312654e+00 -3.849029e-01 16 2.882648e+00 2.312654e+00 17 -2.843583e+00 2.882648e+00 18 2.018823e+00 -2.843583e+00 19 5.922566e+00 2.018823e+00 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/7ygeq1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/8ygeq1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/99peb1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') Warning message: In dropInf(r.w/(s * sqrt(1 - hii))) : Not plotting observations with leverage one: 9, 10, 11, 12 > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/freestat/rcomp/tmp/109peb1290526792.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } > > #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/freestat/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/11c7cz1290526792.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/12qiv01290526793.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/13mrtq1290526793.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/freestat/rcomp/tmp/14qs9w1290526793.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/html/freestat/rcomp/tmp/15bb821290526793.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/html/freestat/rcomp/tmp/16pk6t1290526793.tab") + } > > try(system("convert tmp/1k6hh1290526792.ps tmp/1k6hh1290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/2dxg21290526792.ps tmp/2dxg21290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/3dxg21290526792.ps tmp/3dxg21290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/4dxg21290526792.ps tmp/4dxg21290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/5dxg21290526792.ps tmp/5dxg21290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/666fn1290526792.ps tmp/666fn1290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/7ygeq1290526792.ps tmp/7ygeq1290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/8ygeq1290526792.ps tmp/8ygeq1290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/99peb1290526792.ps tmp/99peb1290526792.png",intern=TRUE)) character(0) > try(system("convert tmp/109peb1290526792.ps tmp/109peb1290526792.png",intern=TRUE)) convert: unable to open image `tmp/109peb1290526792.ps': No such file or directory. convert: missing an image filename `tmp/109peb1290526792.png'. character(0) > > > proc.time() user system elapsed 3.288 2.278 10.328