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Type 'q()' to quit R. > y <- c(288186,281477,282656,280190,280408,276836,275216,274352,271311,289802,290726,292300,278506,269826,265861,269034,264176,255198,253353,246057,235372,258556,260993,254663,250643,243422,247105,248541,245039,237080,237085,225554,226839,247934,248333,246969,245098,246263,255765,264319,268347,273046,273963,267430,271993,292710,295881,293299,288576,286445,297584,300431,298522,292213,285383,277537,277891,302686,300653,296369,287224) > x <- c(681,608,678,739,707,684,596,729,732,386,331,703,739,651,653,628,658,724,674,631,686,392,348,784,875,659,629,679,615,716,723,641,754,729,535,922,828,710,858,775,785,1006,789,734,906,536,394,991,841,892,782,813,793,978,775,797,946,594,438,1022,868) > par1 = '0' > #'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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -43621 -19580 1729 17032 33722 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 266303.03 12444.05 21.400 <2e-16 *** x 4.48 17.06 0.263 0.794 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 20740 on 59 degrees of freedom Multiple R-squared: 0.001167, Adjusted R-squared: -0.01576 F-statistic: 0.06896 on 1 and 59 DF, p-value: 0.7938 > postscript(file="/var/www/html/rcomp/tmp/18ws11290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/28ws11290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -5.439e-11 -2.810e-11 -1.193e-11 2.350e-12 7.976e-10 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.663e+05 6.365e-11 4.184e+15 <2e-16 *** x 4.480e+00 8.726e-14 5.134e+13 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.061e-10 on 59 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 2.636e+27 on 1 and 59 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$fitted.values)) > names(z2) <- list('x','Fitted') > plot(z2,main='Scatterplot, lowess, and regression line') > lines(lowess(z2),col='red') > abline(m2) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/3j5rm1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -43621 -19580 1729 17032 33722 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -8.701e-13 1.244e+04 -6.99e-17 1 x 4.489e-15 1.706e+01 2.63e-16 1 Residual standard error: 20740 on 59 degrees of freedom Multiple R-squared: 1.138e-32, Adjusted R-squared: -0.01695 F-statistic: 6.712e-31 on 1 and 59 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/4uf8p1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -1709.64 -320.86 46.49 360.08 1385.98 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.695e+05 9.078e+01 2969 <2e-16 *** m$residuals 4.675e-16 4.451e-03 1.05e-13 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 709 on 59 degrees of freedom Multiple R-squared: 1.668e-26, Adjusted R-squared: -0.01695 F-statistic: 9.841e-25 on 1 and 59 DF, p-value: 1 > z4 <- as.data.frame(cbind(m$residuals,m$fitted.values)) > names(z4) <- list('Residuals','Fitted') > plot(z4,main='Scatterplot, lowess, and regression line') > lines(lowess(z4),col='red') > abline(m4) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/54o7s1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -13994 -4876 -1175 2368 27081 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -55.23769 1098.20370 -0.05 0.96 Residuals 0.91108 0.05371 16.96 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 8506 on 58 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.8322, Adjusted R-squared: 0.8294 F-statistic: 287.7 on 1 and 58 DF, p-value: < 2.2e-16 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/6ffpd1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/7ffpd1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > if (par1 > 0) + { + densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1) + } else { + densityplot(~m$residuals,col='black',main='Density Plot') + } > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/8ffpd1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/9q6og1290818688.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$coefficients[[1]]) > sd <- sqrt(vcov(m)[1,1]) > a<-table.element(a,sd) > tstat <- m$coefficients[[1]]/sd > a<-table.element(a,tstat) > pval <- 2*(1-pt(abs(tstat),length(x)-2)) > a<-table.element(a,pval) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'slope',header=TRUE) > a<-table.element(a,m$coefficients[[2]]) > sd <- sqrt(vcov(m)[2,2]) > a<-table.element(a,sd) > tstat <- m$coefficients[[2]]/sd > a<-table.element(a,tstat) > pval <- 2*(1-pt(abs(tstat),length(x)-2)) > a<-table.element(a,pval) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/104gm71290818688.tab") > > try(system("convert tmp/18ws11290818688.ps tmp/18ws11290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/28ws11290818688.ps tmp/28ws11290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/3j5rm1290818688.ps tmp/3j5rm1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/4uf8p1290818688.ps tmp/4uf8p1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/54o7s1290818688.ps tmp/54o7s1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/6ffpd1290818688.ps tmp/6ffpd1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/7ffpd1290818688.ps tmp/7ffpd1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/8ffpd1290818688.ps tmp/8ffpd1290818688.png",intern=TRUE)) character(0) > try(system("convert tmp/9q6og1290818688.ps tmp/9q6og1290818688.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 1.833 1.383 6.959