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Type 'q()' to quit R. > y <- c(25,30,31,18,35,40,100,12,70,120,200,100,180,175,120,175,120,95,23,8,5,3,0,1,7,10,2,3,1,1,25,30,31,18,35,40,100,12,70,120,200,100,180,175,120,175,120,95,23,8,5,3,0,1,7,10,2,3,1,1) > x <- c(11,13,14,12,22,26,28,12,21,30,33,35,29,26,24,28,25,19,13,6,2,-1,-12,-5,3,9,7,6,5,2,10,11,16,14,11,13,14,12,22,26,28,12,21,30,33,35,29,26,24,28,25,19,13,6,2,-1,-12,-5,3,9) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -100.392 -22.398 -8.082 24.292 99.897 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -4.7652 9.0953 -0.524 0.602 x 4.0413 0.4729 8.546 7.49e-12 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 42.77 on 58 degrees of freedom Multiple R-squared: 0.5574, Adjusted R-squared: 0.5498 F-statistic: 73.04 on 1 and 58 DF, p-value: 7.488e-12 > postscript(file="/var/wessaorg/rcomp/tmp/16waa1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2vhgv1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -1.269e-14 -4.535e-15 -1.905e-15 3.052e-15 6.771e-14 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -4.765e+00 2.268e-15 -2.101e+15 <2e-16 *** x 4.041e+00 1.179e-16 3.427e+16 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.067e-14 on 58 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 1.175e+33 on 1 and 58 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/32aq71321359498.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 -100.392 -22.398 -8.082 24.292 99.897 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.676e-16 9.095e+00 0 1 x 5.071e-17 4.729e-01 0 1 Residual standard error: 42.77 on 58 degrees of freedom Multiple R-squared: 4.155e-34, Adjusted R-squared: -0.01724 F-statistic: 2.41e-32 on 1 and 58 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/433ts1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -110.261 -34.486 -7.207 43.310 79.682 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.700e+01 6.197e+00 9.198 6.25e-13 *** m$residuals 4.135e-18 1.474e-01 0.000 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 48 on 58 degrees of freedom Multiple R-squared: 1.458e-31, Adjusted R-squared: -0.01724 F-statistic: 8.458e-30 on 1 and 58 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/5900j1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -79.236 -16.625 -4.913 12.819 89.520 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.06064 4.51142 -0.013 0.989 Residuals 0.59684 0.10685 5.586 6.79e-07 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 34.65 on 57 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.3537, Adjusted R-squared: 0.3424 F-statistic: 31.2 on 1 and 57 DF, p-value: 6.787e-07 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/6wpfw1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7yro21321359498.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/8btyh1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9p8sl1321359498.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/10p9hs1321359498.tab") > > try(system("convert tmp/16waa1321359498.ps tmp/16waa1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/2vhgv1321359498.ps tmp/2vhgv1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/32aq71321359498.ps tmp/32aq71321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/433ts1321359498.ps tmp/433ts1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/5900j1321359498.ps tmp/5900j1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/6wpfw1321359498.ps tmp/6wpfw1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/7yro21321359498.ps tmp/7yro21321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/8btyh1321359498.ps tmp/8btyh1321359498.png",intern=TRUE)) character(0) > try(system("convert tmp/9p8sl1321359498.ps tmp/9p8sl1321359498.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.404 0.378 2.799