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(1,1,1,1,2,1,4,1,1,2,1,1,2,1,1,1,1,1,1,2,1,2,1,2,1,1,1,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,2,1,1,2,1,1,1,1,1,2,1,1,2,1,1,1,1,1,3,2,2,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,2,2,3,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,4,1,2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,3,1,1,1,1,1,2,1)
> x <- c(2,2,2,1,3,2,3,1,1,2,3,1,1,2,1,2,3,3,1,4,1,2,1,2,3,1,2,3,2,2,1,3,1,2,3,1,4,2,1,1,1,3,1,2,1,2,1,1,3,2,1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,2,3,1,1,2,2,1,2,2,2,2,2,3,1,1,1,1,1,1,4,2,2,1,4,4,3,3,2,3,3,3,2,1,1,1,3,2,4,4,3,2,1,1,4,1,2,2,4,2,1,2,1,1,3,1,3,3,1,2,2,1,3,2,3,2,4,1,3,1,3,2,2,3,3,3,2,4,2,1,1,2,3,2,4,3,4,2,3,2,2,3,4,2,1,3,1)
> 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 
-0.5266 -0.2652 -0.1344 -0.1344  2.7348 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.00371    0.10443   9.611  < 2e-16 ***
x            0.13073    0.04594   2.846  0.00502 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5577 on 159 degrees of freedom
Multiple R-squared: 0.04846,	Adjusted R-squared: 0.04248 
F-statistic: 8.098 on 1 and 159 DF,  p-value: 0.005016 

> postscript(file="/var/www/html/rcomp/tmp/1rdfe1289848826.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/214xz1289848826.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 
-3.123e-16 -1.382e-16 -6.763e-17  9.797e-18  1.122e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.004e+00  1.756e-16 5.715e+15   <2e-16 ***
x           1.307e-01  7.725e-17 1.692e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 9.379e-16 on 159 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.864e+30 on 1 and 159 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/314xz1289848826.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.5266 -0.2652 -0.1344 -0.1344  2.7348 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -7.713e-17  1.044e-01 -7.39e-16        1
x            4.801e-17  4.594e-02  1.05e-15        1

Residual standard error: 0.5577 on 159 degrees of freedom
Multiple R-squared: 3.38e-33,	Adjusted R-squared: -0.006289 
F-statistic: 5.374e-31 on 1 and 159 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4uvw21289848826.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.13885 -0.13885 -0.00812  0.12261  0.25334 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.273e+00  9.919e-03     128.4   <2e-16 ***
m$residuals -8.782e-17  1.790e-02 -4.91e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.1259 on 159 degrees of freedom
Multiple R-squared: 1.889e-29,	Adjusted R-squared: -0.006289 
F-statistic: 3.003e-27 on 1 and 159 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/555v51289848826.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 
-0.5309 -0.2681 -0.1372 -0.1354  2.7339 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.001656   0.044199   0.037    0.970
Residuals   0.001754   0.079513   0.022    0.982

Residual standard error: 0.5591 on 158 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 3.078e-06,	Adjusted R-squared: -0.006326 
F-statistic: 0.0004864 on 1 and 158 DF,  p-value: 0.9824 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6fecq1289848826.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7fecq1289848826.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8q5ut1289848826.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9q5ut1289848826.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/10aihq1289848826.tab") 
> 
> try(system("convert tmp/1rdfe1289848826.ps tmp/1rdfe1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/214xz1289848826.ps tmp/214xz1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/314xz1289848826.ps tmp/314xz1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/4uvw21289848826.ps tmp/4uvw21289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/555v51289848826.ps tmp/555v51289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/6fecq1289848826.ps tmp/6fecq1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/7fecq1289848826.ps tmp/7fecq1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/8q5ut1289848826.ps tmp/8q5ut1289848826.png",intern=TRUE))
character(0)
> try(system("convert tmp/9q5ut1289848826.ps tmp/9q5ut1289848826.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.871   1.406   2.506