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Type 'q()' to quit R. > y <- c(50,44,55,44,66,54,52,58,53,52,58,57,45,63,43,46,70,59,50,57,67,58,67,47,58,70,68,65,68,74,67,55,74,80,45,78,69,65,69,74,72,64,70,73,71,67,67,70,78,68,79,77,75,73,76,78,75,80,80,68,72,78,79,78,81,75,81,77,79,76,77,77,78,73,74,75,80,75,76,76,76,75,74,75,72) > x <- c(9,14,14,15,16,16,16,21,22,22,25,29,31,34,35,37,38,39,40,40,43,45,47,47,48,48,49,50,51,55,57,58,63,64,65,67,68,68,70,70,70,71,71,71,73,79,80,82,82,83,84,85,86,86,87,88,88,89,89,90,90,93,93,93,93,95,96,96,97,98,98,98,99,99,99,100,100,100,100,100,100,100,100,100,100) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -22.1185 -2.8603 0.3674 3.8226 13.9200 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 47.16953 1.72551 27.34 <2e-16 *** x 0.30691 0.02363 12.99 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 6.195 on 83 degrees of freedom Multiple R-squared: 0.6702, Adjusted R-squared: 0.6663 F-statistic: 168.7 on 1 and 83 DF, p-value: < 2.2e-16 > postscript(file="/var/www/rcomp/tmp/1mfr61321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2cmgn1321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -1.596e-14 -2.276e-15 -5.842e-16 3.557e-15 7.012e-15 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.717e+01 1.153e-15 4.090e+16 <2e-16 *** x 3.069e-01 1.579e-17 1.943e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 4.141e-15 on 83 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 3.776e+32 on 1 and 83 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/3k4v21321295557.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 -22.1185 -2.8603 0.3674 3.8226 13.9200 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1.599e-18 1.726e+00 0 1 x 1.452e-18 2.363e-02 0 1 Residual standard error: 6.195 on 83 degrees of freedom Multiple R-squared: 2.776e-34, Adjusted R-squared: -0.01205 F-statistic: 2.304e-32 on 1 and 83 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4vklp1321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -17.880 -6.831 1.148 7.900 10.049 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.781e+01 9.580e-01 70.78 <2e-16 *** m$residuals -5.211e-17 1.565e-01 0.00 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 8.833 on 83 degrees of freedom Multiple R-squared: 7.797e-31, Adjusted R-squared: -0.01205 F-statistic: 6.472e-29 on 1 and 83 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/5s2yh1321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -19.6239 -3.5856 0.7862 4.2567 14.6008 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.01245 0.66786 0.019 0.985 Residuals -0.19009 0.10904 -1.743 0.085 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 6.121 on 82 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.03574, Adjusted R-squared: 0.02398 F-statistic: 3.039 on 1 and 82 DF, p-value: 0.08501 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/69xoe1321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7rira1321295557.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/8rh5e1321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9xwl91321295557.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/10j1x31321295557.tab") > > try(system("convert tmp/1mfr61321295557.ps tmp/1mfr61321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/2cmgn1321295557.ps tmp/2cmgn1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/3k4v21321295557.ps tmp/3k4v21321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/4vklp1321295557.ps tmp/4vklp1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/5s2yh1321295557.ps tmp/5s2yh1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/69xoe1321295557.ps tmp/69xoe1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/7rira1321295557.ps tmp/7rira1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/8rh5e1321295557.ps tmp/8rh5e1321295557.png",intern=TRUE)) character(0) > try(system("convert tmp/9xwl91321295557.ps tmp/9xwl91321295557.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.072 0.572 3.720