R version 2.7.2 (2008-08-25)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(45,24,18,20,22,39,55,35,38,47,1,57,50,33,19,2,7,15,56,53,24,48,2,49,46,32,37,10,8,16,55,46,46,45,6,45,52,44,35,15,44,51,58,23,44,43,6,51,53,47,19,18,38,43,23,43,18,43,6,31,49)
> x <- c(75,38,20,6,11,38,54,44,37,39,4,49,45,29,20,9,16,3,56,53,35,49,11,54,47,31,21,14,9,16,61,57,40,42,7,43,56,29,34,14,25,39,53,39,32,40,1,47,39,39,20,7,43,43,21,39,35,38,12,37,34)
> 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 
-24.7641  -5.2027   0.5177   6.2306  17.0855 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  5.48974    2.44617   2.244   0.0286 *  
x            0.85699    0.06633  12.919   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 8.761 on 59 degrees of freedom
Multiple R-squared: 0.7388,	Adjusted R-squared: 0.7344 
F-statistic: 166.9 on 1 and 59 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/11oad1226569349.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/2edln1226569349.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 
-2.351e-14 -1.657e-15 -2.692e-16  7.006e-16  3.432e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.490e+00  1.627e-15 3.373e+15   <2e-16 ***
x           8.570e-01  4.413e-17 1.942e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.829e-15 on 59 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.771e+32 on 1 and 59 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3xlj11226569349.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-24.7641  -5.2027   0.5177   6.2306  17.0855 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  8.956e-16  2.446e+00  3.66e-16        1
x           -1.345e-17  6.633e-02 -2.03e-16        1

Residual standard error: 8.761 on 59 degrees of freedom
Multiple R-squared: 9.639e-33,	Adjusted R-squared: -0.01695 
F-statistic: 5.687e-31 on 1 and 59 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4xthh1226569349.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-27.227 -10.944   3.625   8.767  36.190 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.357e+01  1.887e+00    17.79   <2e-16 ***
m$residuals 6.599e-18  2.190e-01 3.01e-17        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 14.74 on 59 degrees of freedom
Multiple R-squared: 3.98e-31,	Adjusted R-squared: -0.01695 
F-statistic: 2.348e-29 on 1 and 59 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/59la31226569349.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 
-18.1215  -5.1372   0.3058   6.0715  16.7893 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.42515    1.05820   0.402    0.689
Residuals    0.05185    0.12468   0.416    0.679

Residual standard error: 8.194 on 58 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.002973,	Adjusted R-squared: -0.01422 
F-statistic: 0.1729 on 1 and 58 DF,  p-value: 0.679 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6x5bq1226569349.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7cs9g1226569349.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8z25t1226569349.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9kb661226569349.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/10vwgh1226569350.tab") 
> 
> system("convert tmp/11oad1226569349.ps tmp/11oad1226569349.png")
> system("convert tmp/2edln1226569349.ps tmp/2edln1226569349.png")
> system("convert tmp/3xlj11226569349.ps tmp/3xlj11226569349.png")
> system("convert tmp/4xthh1226569349.ps tmp/4xthh1226569349.png")
> system("convert tmp/59la31226569349.ps tmp/59la31226569349.png")
> system("convert tmp/6x5bq1226569349.ps tmp/6x5bq1226569349.png")
> system("convert tmp/7cs9g1226569349.ps tmp/7cs9g1226569349.png")
> system("convert tmp/8z25t1226569349.ps tmp/8z25t1226569349.png")
> system("convert tmp/9kb661226569349.ps tmp/9kb661226569349.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.010   1.325   3.245