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Type 'q()' to quit R. > y <- c(29,44,36,37,53,68,75,18,31,25,34,14,11,11,22,16,27,9,29,30,40,32,41,147,22,29,46,23,4,31,39,15,32,27,32,34,17,46,42,43,34,19) > x <- c(6.2,9.5,10.5,7.7,8.6,34.1,11,6.9,7.3,15.1,29.1,2.2,5.7,2,2.5,4,5.4,2.2,7.2,15.1,16.5,18.4,36.2,39.7,18.5,23.3,12.2,5.6,21.8,21.6,9,3.6,5,28.6,17.4,11.3,3.4,11.9,10.5,10.7,10.8,4.8) > 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 -41.628 -9.028 -0.009 7.882 77.861 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 16.9952 4.9949 3.403 0.001528 ** x 1.3135 0.3144 4.177 0.000155 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 19.46 on 40 degrees of freedom Multiple R-squared: 0.3037, Adjusted R-squared: 0.2863 F-statistic: 17.45 on 1 and 40 DF, p-value: 0.0001553 > postscript(file="/var/wessaorg/rcomp/tmp/1ucdl1321372834.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/wessaorg/rcomp/tmp/2yrm01321372834.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 -4.671e-15 -1.720e-15 -6.540e-17 1.258e-15 9.502e-15 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.700e+01 7.553e-16 2.250e+16 <2e-16 *** x 1.313e+00 4.755e-17 2.762e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.943e-15 on 40 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 7.631e+32 on 1 and 40 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$fitted.values)) > names(z2) <- list('x','Fitted') > plot(z2,main='Scatterplot, lowess, and regression line') > lines(lowess(z2),col='red') > abline(m2) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/376ji1321372834.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -41.628 -9.028 -0.009 7.882 77.861 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 8.591e-17 4.995e+00 0 1 x 4.554e-18 3.144e-01 0 1 Residual standard error: 19.46 on 40 degrees of freedom Multiple R-squared: 3.85e-35, Adjusted R-squared: -0.025 F-statistic: 1.54e-33 on 1 and 40 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$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/wessaorg/rcomp/tmp/4yg3h1321372834.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 -14.045 -9.283 -2.880 5.887 35.473 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 3.367e+01 1.984e+00 16.97 <2e-16 *** m$residuals 6.552e-17 1.044e-01 0.00 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 12.86 on 40 degrees of freedom Multiple R-squared: 2.902e-31, Adjusted R-squared: -0.025 F-statistic: 1.161e-29 on 1 and 40 DF, p-value: 1 > z4 <- as.data.frame(cbind(m$residuals,m$fitted.values)) > names(z4) <- list('Residuals','Fitted') > plot(z4,main='Scatterplot, lowess, and regression line') > lines(lowess(z4),col='red') > abline(m4) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/58n2k1321372834.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$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 -41.687 -10.496 0.097 8.757 75.470 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.08316 3.06001 -0.027 0.978 Residuals -0.10509 0.15926 -0.660 0.513 Residual standard error: 19.59 on 39 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.01104, Adjusted R-squared: -0.01432 F-statistic: 0.4355 on 1 and 39 DF, p-value: 0.5132 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/62z6j1321372834.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7xf801321372834.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > if (par1 > 0) + { + densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1) + } else { + densityplot(~m$residuals,col='black',main='Density Plot') + } > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/82n1w1321372834.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/90ehy1321372834.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/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,'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/wessaorg/rcomp/tmp/1054yd1321372834.tab") > > try(system("convert tmp/1ucdl1321372834.ps tmp/1ucdl1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/2yrm01321372834.ps tmp/2yrm01321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/376ji1321372834.ps tmp/376ji1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/4yg3h1321372834.ps tmp/4yg3h1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/58n2k1321372834.ps tmp/58n2k1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/62z6j1321372834.ps tmp/62z6j1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/7xf801321372834.ps tmp/7xf801321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/82n1w1321372834.ps tmp/82n1w1321372834.png",intern=TRUE)) character(0) > try(system("convert tmp/90ehy1321372834.ps tmp/90ehy1321372834.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.506 0.465 3.007