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(24,25,30,19,22,22,25,23,17,21,19,19,15,16,23,27,22,14,22,23,23,21,19,18,20,23,25,19,24,22,25,26,29,32,25,29,28,17,28,29,26,25,14,25,26,20,18,32,25,25,23,21,20,15,30,24,26,24,22,14,24,24,24,24,19,31,22,27,19,25,20,21,27,23,25,20,21,22,23,25,25,17,19,25,19,20,26,23,27,17,17,19,17,22,21,32,21,21,18,18,23,19,20,21,20,17,18,19,22,15,14,18,24,35,29,21,25,20,22,13,26,17,25,20,19,21,22,24,21,26,24,16,23,18,16,26,19,21,21,22,23,29,21,21,23,27,25,21,10,20,26,24,29,19,24,19,24,22,17)
> x <- c(12,8,8,8,9,7,4,11,7,7,12,10,10,8,8,4,9,8,7,11,9,11,13,8,8,9,6,9,9,6,6,16,5,7,9,6,6,5,12,7,10,9,8,5,8,8,10,6,8,7,4,8,8,4,20,8,8,6,4,8,9,6,7,9,5,5,8,8,6,8,7,7,9,11,6,8,6,9,8,6,10,8,8,10,5,7,5,8,14,7,8,6,5,6,10,12,9,12,7,8,10,6,10,10,10,5,7,10,11,6,7,12,11,11,11,5,8,6,9,4,4,7,11,6,7,8,4,8,9,8,11,8,5,4,8,10,6,9,9,13,9,10,20,5,11,6,9,7,9,10,9,8,7,6,13,6,8,10,16)
> 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 
-12.30286  -2.68933  -0.09835   2.69714  12.28812 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  20.4623     1.0670  19.177   <2e-16 ***
x             0.2045     0.1232   1.659    0.099 .  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.194 on 157 degrees of freedom
Multiple R-squared: 0.01724,	Adjusted R-squared: 0.01098 
F-statistic: 2.753 on 1 and 157 DF,  p-value: 0.09904 

> postscript(file="/var/www/html/rcomp/tmp/16qyk1289836319.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/2gzxn1289836319.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 
-4.776e-15 -2.118e-15  1.763e-17  8.845e-16  9.689e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.046e+01  2.011e-15 1.017e+16   <2e-16 ***
x           2.045e-01  2.323e-16 8.804e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.905e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.75e+29 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3gzxn1289836319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-12.30286  -2.68933  -0.09835   2.69714  12.28812 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -7.851e-16  1.067e+00 -7.36e-16        1
x            7.831e-17  1.232e-01  6.35e-16        1

Residual standard error: 4.194 on 157 degrees of freedom
Multiple R-squared: 4.526e-33,	Adjusted R-squared: -0.006369 
F-statistic: 7.106e-31 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/499fq1289836319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.8643 -0.4553 -0.0463  0.3627  2.4078 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.214e+01  4.404e-02     502.8   <2e-16 ***
m$residuals -1.109e-17  1.057e-02 -1.05e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5554 on 157 degrees of freedom
Multiple R-squared: 4.17e-28,	Adjusted R-squared: -0.006369 
F-statistic: 6.547e-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/5kiwb1289836319.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 
-12.15094  -2.79708  -0.07501   2.62093  12.10204 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.01346    0.33068  -0.041   0.9676  
Residuals    0.15490    0.07976   1.942   0.0539 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.156 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.02361,	Adjusted R-squared: 0.01735 
F-statistic: 3.772 on 1 and 156 DF,  p-value: 0.05392 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6drvw1289836319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7drvw1289836319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/85jcz1289836319.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/95jcz1289836319.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/101asq1289836319.tab") 
> 
> try(system("convert tmp/16qyk1289836319.ps tmp/16qyk1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/2gzxn1289836319.ps tmp/2gzxn1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/3gzxn1289836319.ps tmp/3gzxn1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/499fq1289836319.ps tmp/499fq1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/5kiwb1289836319.ps tmp/5kiwb1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/6drvw1289836319.ps tmp/6drvw1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/7drvw1289836319.ps tmp/7drvw1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/85jcz1289836319.ps tmp/85jcz1289836319.png",intern=TRUE))
character(0)
> try(system("convert tmp/95jcz1289836319.ps tmp/95jcz1289836319.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.917   1.440   2.436