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Type 'q()' to quit R. > y <- c(204.2,196.6,198.8,207.5,190.7,201.6,210.5,223.5,223.8,231.2,244,234.7,250.2,265.7,287.6,283.3,295.4,312.3,333.8,347.7,383.2,407.1,413.6,362.7,321.9,239.4,191,159.7,163.4,157.6,166.2,176.7,198.3,226.2,216.2,235.9,226.9,242.3,253.1,250,259.4,250.1,262.6,284.2,261.7,258.4,263.2,268.1,271.8,286.9) > x <- c(180.9,187,189.9,193.8,194.5,198.7,204.7,213.2,214.7,211,213.2,206.2,210.8,216.2,213.3,213.1,238.5,253,262.7,263.2,263.2,267.9,268,248.4,230.8,190.6,173.5,164.7,161.6,157.6,158.4,167,176.8,184.4,183.6,197,195.4,201.7,207.6,215.3,218.6,210.6,216.5,243.7,233.2,230.4,246.6,256.1,264.8,271.5) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -65.582 -15.630 0.931 11.002 70.874 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -104.8195 27.7326 -3.78 0.000434 *** x 1.6699 0.1284 13.01 < 2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 28.81 on 48 degrees of freedom Multiple R-squared: 0.779, Adjusted R-squared: 0.7744 F-statistic: 169.2 on 1 and 48 DF, p-value: < 2.2e-16 > postscript(file="/var/www/rcomp/tmp/1ssla1290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2ssla1290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -9.923e-14 -9.770e-15 9.554e-16 1.241e-14 3.846e-14 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1.048e+02 1.985e-14 -5.281e+15 <2e-16 *** x 1.670e+00 9.189e-17 1.817e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.062e-14 on 48 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 3.303e+32 on 1 and 48 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/www/rcomp/tmp/3kkkd1290682127.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 -65.582 -15.630 0.931 11.002 70.874 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.112e-15 2.773e+01 4.01e-17 1 x -6.590e-18 1.284e-01 -5.13e-17 1 Residual standard error: 28.81 on 48 degrees of freedom Multiple R-squared: 1.396e-34, Adjusted R-squared: -0.02083 F-statistic: 6.701e-33 on 1 and 48 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4dtjy1290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -93.654 -37.210 -2.725 39.232 96.553 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.520e+02 7.649e+00 32.95 <2e-16 *** m$residuals -1.189e-16 2.710e-01 -4.39e-16 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 54.09 on 48 degrees of freedom Multiple R-squared: 3.451e-32, Adjusted R-squared: -0.02083 F-statistic: 1.657e-30 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/www/rcomp/tmp/562011290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -27.134 -7.050 1.385 6.714 37.575 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1.32754 1.84819 -0.718 0.476 Residuals 0.94247 0.06815 13.828 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 12.92 on 47 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.8027, Adjusted R-squared: 0.7985 F-statistic: 191.2 on 1 and 47 DF, p-value: < 2.2e-16 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/662011290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7gb041290682127.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/rcomp/tmp/8gb041290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9gb041290682127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/10nuxf1290682127.tab") > > try(system("convert tmp/1ssla1290682127.ps tmp/1ssla1290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/2ssla1290682127.ps tmp/2ssla1290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/3kkkd1290682127.ps tmp/3kkkd1290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/4dtjy1290682127.ps tmp/4dtjy1290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/562011290682127.ps tmp/562011290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/662011290682127.ps tmp/662011290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/7gb041290682127.ps tmp/7gb041290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/8gb041290682127.ps tmp/8gb041290682127.png",intern=TRUE)) character(0) > try(system("convert tmp/9gb041290682127.ps tmp/9gb041290682127.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.82 1.55 4.34