R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(4,3,2,2,2,2,3,2,1,2,2,4,2,2,2,1,2,2,3,4,4,4,4,4,2,2,4,2,3,2,4,3,4,2,2,4,5,2,4,4,5,3,2,3,2,1,2,4,4,4,4,2,2,1,4,2,4,2,2,1,2,2,2,2,1,5,3,2,1,2,4,2,5,4,3,2,2,2,2,4,2,2,4,4,2,2,3,2,4,2,4,1,2,3,2,4,2,3,2,2,2,2,2,2,3,2,2,4,3,2,1,2,2,5,1,2,2,2,2,2,5,2,2,2,2,2,2,3,2,4,4,2,4,4,2,4,3,2,2,3,4,4,5,2,3,5,2,2,2,2,2,5,3,2,2,3,3,2)
> x <- c(2,1,4,2,2,2,2,2,1,4,2,3,2,2,1,3,1,2,4,4,3,2,3,2,2,3,3,2,4,2,2,3,5,2,3,1,2,2,4,2,4,3,2,4,2,2,2,2,2,3,1,2,2,1,5,2,2,2,1,2,2,2,4,2,1,2,2,2,1,2,2,2,3,3,2,2,3,2,2,2,2,2,1,3,2,4,2,1,4,3,2,3,2,3,2,5,3,4,2,2,2,3,4,3,2,2,3,2,2,2,2,3,2,4,1,2,4,2,2,1,1,3,3,1,1,3,1,2,3,2,2,2,2,2,2,4,2,2,3,2,2,4,4,1,2,4,2,1,2,2,3,5,2,4,2,2,3,4)
> 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 
-1.8922 -0.5452 -0.5452  0.7607  2.8019 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.85101    0.21854    8.47 1.71e-14 ***
x            0.34707    0.08465    4.10 6.63e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.015 on 156 degrees of freedom
Multiple R-squared: 0.09727,	Adjusted R-squared: 0.09149 
F-statistic: 16.81 on 1 and 156 DF,  p-value: 6.63e-05 

> postscript(file="/var/www/rcomp/tmp/11zu21289658776.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/21zu21289658776.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 
-4.047e-15 -1.444e-16  7.286e-17  7.286e-17  2.913e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.851e+00  7.555e-17 2.450e+16   <2e-16 ***
x           3.471e-01  2.926e-17 1.186e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.51e-16 on 156 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.407e+32 on 1 and 156 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3cqbn1289658776.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.8922 -0.5452 -0.5452  0.7607  2.8019 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.746e-18  2.185e-01  7.99e-18        1
x           -2.260e-17  8.465e-02 -2.67e-16        1

Residual standard error: 1.015 on 156 degrees of freedom
Multiple R-squared: 3.421e-33,	Adjusted R-squared: -0.00641 
F-statistic: 5.337e-31 on 1 and 156 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/44ibq1289658776.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.4855 -0.1384 -0.1384  0.2087  0.9028 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.684e+00  2.652e-02     101.2   <2e-16 ***
m$residuals -3.292e-17  2.628e-02 -1.25e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3333 on 156 degrees of freedom
Multiple R-squared: 3.687e-30,	Adjusted R-squared: -0.00641 
F-statistic: 5.751e-28 on 1 and 156 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/5xrat1289658776.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 
-2.0721 -0.7250 -0.3729  0.6271  2.8381 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01030    0.08007  -0.129    0.898
Residuals    0.13070    0.07948   1.644    0.102

Residual standard error: 1.003 on 155 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01714,	Adjusted R-squared: 0.0108 
F-statistic: 2.704 on 1 and 155 DF,  p-value: 0.1021 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6xrat1289658776.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7q0re1289658776.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8q0re1289658776.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9q0re1289658776.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/10w1681289658776.tab") 
> 
> try(system("convert tmp/11zu21289658776.ps tmp/11zu21289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/21zu21289658776.ps tmp/21zu21289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/3cqbn1289658776.ps tmp/3cqbn1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/44ibq1289658776.ps tmp/44ibq1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/5xrat1289658776.ps tmp/5xrat1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/6xrat1289658776.ps tmp/6xrat1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/7q0re1289658776.ps tmp/7q0re1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/8q0re1289658776.ps tmp/8q0re1289658776.png",intern=TRUE))
character(0)
> try(system("convert tmp/9q0re1289658776.ps tmp/9q0re1289658776.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
   2.87    1.45    4.33