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Type 'q()' to quit R. > y <- c(12,8,8,8,9,7,4,11,7,7,12,10,10,8,8,4,9,8,7,11,9,11,13,8,8,9,6,9,9,6,6,16,5,7,9,6,6,5,12,7,10,9,8,5,8,8,10,6,8,7,4,8,8,4,20,8,8,6,4,8,9,6,7,9,5,5,8,8,6,8,7,7,9,11,6,8,6,9,8,6,10,8,8,10,5,7,5,8,14,7,8,6,5,6,10,12,9,12,7,8,10,6,10,10,10,5,7,10,11,6,7,12,11,11,11,5,8,6,9,4,4,7,11,6,7,8,4,8,9,8,11,8,5,4,8,10,6,9,9,13,9,10,20,5,11,6,9,7,9,10,9,8,7,6,13,6,8,10,16) > x <- c(14,11,6,12,8,10,10,11,16,11,13,12,8,12,11,4,9,8,8,14,15,16,9,14,11,8,9,9,9,9,10,16,11,8,9,16,11,16,12,12,14,9,10,9,10,12,14,14,10,14,16,9,10,6,8,13,10,8,7,15,9,10,12,13,10,11,8,9,13,11,8,9,9,15,9,10,14,12,12,11,14,6,12,8,14,11,10,14,12,10,14,5,11,10,9,10,16,13,9,10,10,7,9,8,14,14,8,9,14,14,8,8,8,7,6,8,6,11,14,11,11,11,14,8,20,11,8,11,10,14,11,9,9,8,10,13,13,12,8,13,14,12,14,15,13,16,9,9,9,8,7,16,11,9,11,9,14,13,16) > par1 = '0' > 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 -4.9882 -1.9440 -0.2424 1.3101 12.2051 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.60149 0.85711 7.702 1.41e-12 *** x 0.14917 0.07622 1.957 0.0521 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.683 on 157 degrees of freedom Multiple R-squared: 0.02381, Adjusted R-squared: 0.0176 F-statistic: 3.83 on 1 and 157 DF, p-value: 0.05211 > postscript(file="/var/www/rcomp/tmp/1givj1321399907.ps",horizontal=F,onefile=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/rcomp/tmp/2qxkr1321399907.ps",horizontal=F,onefile=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 -1.047e-14 -3.452e-16 7.120e-17 4.963e-16 1.256e-15 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.601e+00 3.229e-16 2.044e+16 <2e-16 *** x 1.492e-01 2.872e-17 5.195e+15 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.011e-15 on 157 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 2.699e+31 on 1 and 157 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$fitted.values)) > names(z2) <- list('x','Fitted') > plot(z2,main='Scatterplot, lowess, and regression line') > lines(lowess(z2),col='red') > abline(m2) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3k2ee1321399907.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -4.9882 -1.9440 -0.2424 1.3101 12.2051 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -7.738e-17 8.571e-01 0 1 x 7.017e-18 7.622e-02 0 1 Residual standard error: 2.683 on 157 degrees of freedom Multiple R-squared: 6.637e-35, Adjusted R-squared: -0.006369 F-statistic: 1.042e-32 on 1 and 157 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$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/rcomp/tmp/4w48j1321399907.ps",horizontal=F,onefile=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 -1.02824 -0.28239 0.01595 0.31429 1.35848 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 8.226e+00 3.324e-02 247.5 <2e-16 *** m$residuals -7.002e-17 1.247e-02 0.0 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.4191 on 157 degrees of freedom Multiple R-squared: 8.01e-30, Adjusted R-squared: -0.006369 F-statistic: 1.258e-27 on 1 and 157 DF, p-value: 1 > z4 <- as.data.frame(cbind(m$residuals,m$fitted.values)) > names(z4) <- list('Residuals','Fitted') > plot(z4,main='Scatterplot, lowess, and regression line') > lines(lowess(z4),col='red') > abline(m4) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/53ufd1321399907.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$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 -5.0790 -1.7762 -0.2619 1.2627 11.9918 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.02396 0.21265 -0.113 0.910 Residuals -0.06788 0.08129 -0.835 0.405 Residual standard error: 2.673 on 156 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.004449, Adjusted R-squared: -0.001933 F-statistic: 0.6971 on 1 and 156 DF, p-value: 0.405 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/6e25u1321399907.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/79hng1321399907.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > if (par1 > 0) + { + densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1) + } else { + densityplot(~m$residuals,col='black',main='Density Plot') + } > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/88xcp1321399907.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9g8961321399907.ps",horizontal=F,onefile=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/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/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/rcomp/tmp/106tyq1321399907.tab") > > try(system("convert tmp/1givj1321399907.ps tmp/1givj1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/2qxkr1321399907.ps tmp/2qxkr1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/3k2ee1321399907.ps tmp/3k2ee1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/4w48j1321399907.ps tmp/4w48j1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/53ufd1321399907.ps tmp/53ufd1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/6e25u1321399907.ps tmp/6e25u1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/79hng1321399907.ps tmp/79hng1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/88xcp1321399907.ps tmp/88xcp1321399907.png",intern=TRUE)) character(0) > try(system("convert tmp/9g8961321399907.ps tmp/9g8961321399907.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.340 0.556 4.295