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Type 'q()' to quit R. > y <- c(71.91,6.06,8.10,79.38,65.34,34.62,26.26,60.92,39.56,65.61,56.49,56.19,80.30,61.20,58.20,75.91,73.66,73.87,87.21,64.29,71.82,89.31,1.41,35.17,34.68,41.08,30.57,68.84,7.17,71.05,23.32,61.39,8.41,65.88,64.06,26.80,12.78,23.84,42.69,54.94,89.99,5.68,72.64,45.92,24.96,18.17,29.12,40.08,1.08,57.52) > x <- c(5.11,3.53,4.52,3.72,5.99,3.15,3.17,3.50,3.39,4.15,4.50,3.31,3.09,5.31,4.24,5.06,4.72,4.58,5.30,5.11,4.05,4.62,4.66,4.66,2.76,5.10,4.97,2.87,5.14,4.98,4.55,5.45,4.36,4.78,4.74,5.44,5.78,2.92,4.22,3.93,3.01,3.22,5.12,3.04,5.82,3.11,3.87,3.75,4.82,2.83) > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '' > 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 -46.943 -21.147 8.493 21.730 44.362 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 41.645 17.980 2.316 0.0249 * x 1.323 4.110 0.322 0.7489 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 26.23 on 48 degrees of freedom Multiple R-squared: 0.002154, Adjusted R-squared: -0.01863 F-statistic: 0.1036 on 1 and 48 DF, p-value: 0.7489 > postscript(file="/var/wessaorg/rcomp/tmp/1zznl1321370327.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/2510m1321370327.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 -6.932e-15 -2.391e-15 1.760e-17 1.473e-15 1.833e-14 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.165e+01 2.839e-15 1.467e+16 <2e-16 *** x 1.323e+00 6.491e-16 2.039e+15 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 4.143e-15 on 48 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 4.156e+30 on 1 and 48 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$fitted.values)) > names(z2) <- list('x','Fitted') > plot(z2,main='Scatterplot, lowess, and regression line') > lines(lowess(z2),col='red') > abline(m2) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3cu281321370327.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -46.943 -21.147 8.493 21.730 44.362 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.236e-15 1.798e+01 0 1 x 3.957e-16 4.110e+00 0 1 Residual standard error: 26.23 on 48 degrees of freedom Multiple R-squared: 5.383e-33, Adjusted R-squared: -0.02083 F-statistic: 2.584e-31 on 1 and 48 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$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/43vn51321370327.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 -2.0117 -1.1418 0.3038 1.0051 2.2621 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.731e+01 1.724e-01 274.4 <2e-16 *** m$residuals 3.851e-18 6.707e-03 0.0 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.219 on 48 degrees of freedom Multiple R-squared: 1.416e-30, Adjusted R-squared: -0.02083 F-statistic: 6.795e-29 on 1 and 48 DF, p-value: 1 > z4 <- as.data.frame(cbind(m$residuals,m$fitted.values)) > names(z4) <- list('Residuals','Fitted') > plot(z4,main='Scatterplot, lowess, and regression line') > lines(lowess(z4),col='red') > abline(m4) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5i1y31321370327.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$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 -46.436 -21.034 8.593 18.980 44.806 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.478598 3.755065 -0.127 0.899 Residuals 0.004287 0.144944 0.030 0.977 Residual standard error: 26.28 on 47 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 1.861e-05, Adjusted R-squared: -0.02126 F-statistic: 0.0008748 on 1 and 47 DF, p-value: 0.9765 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/6sv8d1321370327.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7lypa1321370327.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > if (par1 > 0) + { + densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1) + } else { + densityplot(~m$residuals,col='black',main='Density Plot') + } > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/88ww81321370327.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9wku11321370327.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/10muny1321370327.tab") > > try(system("convert tmp/1zznl1321370327.ps tmp/1zznl1321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/2510m1321370327.ps tmp/2510m1321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/3cu281321370327.ps tmp/3cu281321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/43vn51321370327.ps tmp/43vn51321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/5i1y31321370327.ps tmp/5i1y31321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/6sv8d1321370327.ps tmp/6sv8d1321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/7lypa1321370327.ps tmp/7lypa1321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/88ww81321370327.ps tmp/88ww81321370327.png",intern=TRUE)) character(0) > try(system("convert tmp/9wku11321370327.ps tmp/9wku11321370327.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.432 0.416 2.885