R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(4,3,5,4,2,4,3,2,4,2,4,2,5,3,4,3,4,2,3,4,2,4,4,3,4,2,4,4,4,2,4,4,4,4,3,4,3,3,3,2,4,4,4,3,4,4,3,1,4,4,2,2,4,3,1,4,2,4,5,3,2,4,2,2,2,4,5,4,5,2,3,4,3,2,3,4,1,2,2,3,3,2,2,4,3,3,4,4,2,2,4,3,2,4,3,3,4,4,3,3,3,2,2,1,2,3,3,3,3,4,2,3,3,4,3,3,3,4,4,3,4,5,2,4,3)
> x <- c(3,3,4,2,2,3,3,3,3,3,4,1,3,3,3,3,3,3,1,3,3,3,3,4,4,3,2,1,4,3,3,3,3,4,4,3,2,1,3,3,3,3,3,4,4,4,3,3,3,4,3,4,4,3,3,2,3,3,3,4,3,3,3,3,3,3,4,1,3,3,4,4,3,3,3,4,3,3,2,3,4,3,4,2,1,3,3,4,3,3,3,4,3,3,3,3,3,3,3,4,3,3,1,3,2,3,3,3,3,3,3,4,3,3,2,4,3,3,3,2,3,3,3,3,3)
> 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 
-2.1665 -0.9787 -0.1665  0.8335  1.8335 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   2.6030     0.3703   7.029 1.26e-10 ***
x             0.1878     0.1198   1.568    0.120    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.951 on 123 degrees of freedom
Multiple R-squared: 0.01959,	Adjusted R-squared: 0.01161 
F-statistic: 2.457 on 1 and 123 DF,  p-value: 0.1196 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1x4dh1289647895.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/html/freestat/rcomp/tmp/2x4dh1289647895.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 
-4.353e-16  4.818e-17  4.818e-17  4.818e-17  9.969e-17 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.603e+00  5.205e-17 5.001e+16   <2e-16 ***
x           1.878e-01  1.684e-17 1.115e+16   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 1.337e-16 on 123 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.244e+32 on 1 and 123 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/38eck1289647895.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

Call:
lm(formula = m$residuals ~ x)

Residuals:
    Min      1Q  Median      3Q     Max 
-2.1665 -0.9787 -0.1665  0.8335  1.8335 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -4.124e-18  3.703e-01 -1.11e-17        1
x            2.891e-18  1.198e-01  2.41e-17        1

Residual standard error: 0.951 on 123 degrees of freedom
Multiple R-squared: 1.267e-36,	Adjusted R-squared: -0.00813 
F-statistic: 1.559e-34 on 1 and 123 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/41ncn1289647895.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

Call:
lm(formula = m$fitted.values ~ m$residuals)

Residuals:
      Min        1Q    Median        3Q       Max 
-0.377169 -0.001503 -0.001503 -0.001503  0.186331 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.168e+00  1.202e-02    263.5   <2e-16 ***
m$residuals 2.305e-17  1.274e-02 1.81e-15        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.1344 on 123 degrees of freedom
Multiple R-squared: 7.986e-31,	Adjusted R-squared: -0.00813 
F-statistic: 9.823e-29 on 1 and 123 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/html/freestat/rcomp/tmp/5twt81289647895.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 
-2.1775 -0.9613 -0.1411  0.8140  1.8673 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.006692   0.085463  -0.078    0.938
Residuals   -0.022421   0.090239  -0.248    0.804

Residual standard error: 0.9517 on 122 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0005057,	Adjusted R-squared: -0.007687 
F-statistic: 0.06173 on 1 and 122 DF,  p-value: 0.8042 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/64nst1289647895.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/74nst1289647895.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8xx9w1289647895.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9xx9w1289647895.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/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/html/freestat/rcomp/tmp/10bppn1289647895.tab") 
> 
> try(system("convert tmp/1x4dh1289647895.ps tmp/1x4dh1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/2x4dh1289647895.ps tmp/2x4dh1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/38eck1289647895.ps tmp/38eck1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/41ncn1289647895.ps tmp/41ncn1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/5twt81289647895.ps tmp/5twt81289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/64nst1289647895.ps tmp/64nst1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/74nst1289647895.ps tmp/74nst1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/8xx9w1289647895.ps tmp/8xx9w1289647895.png",intern=TRUE))
character(0)
> try(system("convert tmp/9xx9w1289647895.ps tmp/9xx9w1289647895.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.909   2.133   3.193