R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(1,2,2,2,2,2,2,3,4,2,3,4,4,2,1,1,3,2,3,4,4,4,4,4,2,3,2,4,3,2,3,4,4,5,3,3,4,2,4,2,3,2,2,2,3,3,2,4,4,4,3,1,4,2,3,4,4,2,1,2,2,4,3,2,2,4,4,2,1,2,4,3,4,2,4,1,2,4,4,4,3,2,2,4,3,4,3,1,2,3,4,1,3,3,2,4,4,4,3,2,3,1,3,2,4,3,4,3,3,2,2,4,3,4,1,2,4,2,2,4,5,2,4,2,2,2,2,3,2,4,3,2,2,1,2,4,2,2,4,2,4,5,2,4,3,4,3,2,2,4,3,4,5,3,1,3,4,4,4)
> x <- c(2,1,4,2,2,2,2,2,1,4,2,3,2,2,1,3,1,2,4,4,3,2,3,2,2,3,3,2,4,2,2,3,5,2,3,1,2,2,4,2,4,3,2,4,2,2,2,2,2,3,1,2,2,1,5,2,2,2,1,2,2,2,4,2,1,2,2,2,1,2,2,2,3,3,2,2,3,2,2,2,2,2,1,3,2,4,2,1,4,3,2,3,2,3,2,5,3,4,2,2,2,3,4,3,2,2,3,2,2,2,2,3,2,4,1,2,4,2,2,1,1,3,3,1,1,3,1,2,3,2,2,2,2,2,2,4,2,2,3,2,2,4,4,1,3,2,4,2,1,2,2,3,5,2,4,2,2,3,4)
> 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 
-2.3067 -0.7652  0.2348  0.9640  2.5055 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   2.2238     0.2178  10.208   <2e-16 ***
x             0.2707     0.0843   3.212   0.0016 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.012 on 157 degrees of freedom
Multiple R-squared: 0.06165,	Adjusted R-squared: 0.05567 
F-statistic: 10.32 on 1 and 157 DF,  p-value: 0.001601 

> postscript(file="/var/www/html/rcomp/tmp/1xjth1289982477.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/rcomp/tmp/2xjth1289982477.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 
-4.710e-14  1.069e-16  3.913e-16  5.648e-16  8.354e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.224e+00  8.195e-16 2.714e+15   <2e-16 ***
x           2.707e-01  3.171e-16 8.538e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.808e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.29e+29 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/37ttk1289982477.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.3067 -0.7652  0.2348  0.9640  2.5055 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -4.407e-16  2.179e-01 -2.02e-15        1
x            1.248e-16  8.430e-02  1.48e-15        1

Residual standard error: 1.012 on 157 degrees of freedom
Multiple R-squared: 3.179e-32,	Adjusted R-squared: -0.006369 
F-statistic: 4.991e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4iksn1289982477.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.3797 -0.1090 -0.1090  0.1618  0.7032 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.874e+00  2.058e-02    139.7   <2e-16 ***
m$residuals 5.908e-16  2.046e-02 2.89e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2595 on 157 degrees of freedom
Multiple R-squared: 1.056e-28,	Adjusted R-squared: -0.006369 
F-statistic: 1.658e-26 on 1 and 157 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/rcomp/tmp/5tt9q1289982477.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 
-2.3326 -0.7870  0.1413  0.9381  2.4011 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.01144    0.07985   0.143    0.886
Residuals    0.06172    0.07925   0.779    0.437

Residual standard error: 1.004 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.003874,	Adjusted R-squared: -0.002512 
F-statistic: 0.6066 on 1 and 156 DF,  p-value: 0.4372 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6tt9q1289982477.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/73kqt1289982477.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/83kqt1289982477.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/93kqt1289982477.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/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/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/rcomp/tmp/10a3nn1289982477.tab") 
> 
> try(system("convert tmp/1xjth1289982477.ps tmp/1xjth1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/2xjth1289982477.ps tmp/2xjth1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/37ttk1289982477.ps tmp/37ttk1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/4iksn1289982477.ps tmp/4iksn1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/5tt9q1289982477.ps tmp/5tt9q1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/6tt9q1289982477.ps tmp/6tt9q1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/73kqt1289982477.ps tmp/73kqt1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/83kqt1289982477.ps tmp/83kqt1289982477.png",intern=TRUE))
character(0)
> try(system("convert tmp/93kqt1289982477.ps tmp/93kqt1289982477.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.908   1.431   4.952