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(3,3,4,3,2,3,4,2,3,4,3,3,4,2,2,3,2,4,2,1,3,4,2,3,3,4,3,3,4,4,4,3,4,3,2,4,3,2,4,4,4,4,2,2,3,4,5,2,3,3,2,2,3,2,4,3,3,4,1,4,2,4,4,4,2,4,2,4,4,1,4,4,3,3,3,3,3,3,4,1,3,4,3,3,4,3,2,3,4,3,4,3,4,4,3,2,1,2,2,3,4,4,3,3,1,3,3,4,2,2,3,3,3,4,4,4,4,2,3,4,3,4,2,4,4,3,4,3,3,1,4,4,2,3,4,3,4,2,5,3,4,3,4,2,3,3,2,4,4,3,4,2,4,4,3)
> x <- c(3,3,4,3,3,3,3,2,3,3,3,3,3,2,3,3,2,3,2,1,2,3,3,3,3,3,2,3,3,4,3,3,3,3,2,3,3,3,3,4,3,3,1,2,3,4,4,2,1,3,3,1,3,2,3,3,2,4,1,3,2,4,3,4,3,3,3,3,3,1,3,3,3,2,3,3,3,2,3,2,2,3,3,2,2,3,2,3,4,2,3,2,4,3,3,3,3,2,3,4,4,4,3,3,1,4,1,3,2,2,3,3,2,3,3,4,4,3,3,3,3,3,1,2,4,3,4,3,2,1,4,3,3,3,4,3,3,1,4,2,2,3,3,2,3,3,2,3,4,4,4,2,3,3,3)
> 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 
-2.25205 -0.25205  0.01233  0.74795  1.48356 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.04521    0.20611   5.071 1.13e-06 ***
x            0.73562    0.07076  10.396  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.6868 on 153 degrees of freedom
Multiple R-squared: 0.4139,	Adjusted R-squared: 0.4101 
F-statistic: 108.1 on 1 and 153 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/rcomp/tmp/10bna1289948318.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/20bna1289948318.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 
-6.498e-15 -1.097e-16  4.302e-17  2.382e-16  5.763e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.045e+00  1.720e-16 6.078e+15   <2e-16 ***
x           7.356e-01  5.904e-17 1.246e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.73e-16 on 153 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.552e+32 on 1 and 153 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3b2md1289948318.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2.25205 -0.25205  0.01233  0.74795  1.48356 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -5.819e-17  2.061e-01 -2.82e-16        1
x            1.982e-17  7.076e-02  2.80e-16        1

Residual standard error: 0.6868 on 153 degrees of freedom
Multiple R-squared: 2.76e-33,	Adjusted R-squared: -0.006536 
F-statistic: 4.223e-31 on 1 and 153 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4e4ot1289948319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.3289 -0.5932  0.1424  0.1424  0.8780 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.110e+00  4.636e-02    67.08   <2e-16 ***
m$residuals 2.353e-16  6.794e-02 3.46e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5772 on 153 degrees of freedom
Multiple R-squared: 3.56e-31,	Adjusted R-squared: -0.006536 
F-statistic: 5.446e-29 on 1 and 153 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/5pv5w1289948319.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 
-2.2680826 -0.2680826 -0.0006642  0.7373266  1.4874569 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.001656   0.055496   0.030    0.976
Residuals   -0.011479   0.081105  -0.142    0.888

Residual standard error: 0.6887 on 152 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0001318,	Adjusted R-squared: -0.006446 
F-statistic: 0.02003 on 1 and 152 DF,  p-value: 0.8876 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6immz1289948319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7immz1289948319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8immz1289948319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9sd4k1289948319.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/106n1t1289948319.tab") 
> 
> try(system("convert tmp/10bna1289948318.ps tmp/10bna1289948318.png",intern=TRUE))
character(0)
> try(system("convert tmp/20bna1289948318.ps tmp/20bna1289948318.png",intern=TRUE))
character(0)
> try(system("convert tmp/3b2md1289948318.ps tmp/3b2md1289948318.png",intern=TRUE))
character(0)
> try(system("convert tmp/4e4ot1289948319.ps tmp/4e4ot1289948319.png",intern=TRUE))
character(0)
> try(system("convert tmp/5pv5w1289948319.ps tmp/5pv5w1289948319.png",intern=TRUE))
character(0)
> try(system("convert tmp/6immz1289948319.ps tmp/6immz1289948319.png",intern=TRUE))
character(0)
> try(system("convert tmp/7immz1289948319.ps tmp/7immz1289948319.png",intern=TRUE))
character(0)
> try(system("convert tmp/8immz1289948319.ps tmp/8immz1289948319.png",intern=TRUE))
character(0)
> try(system("convert tmp/9sd4k1289948319.ps tmp/9sd4k1289948319.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.920   1.180   4.071