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(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(11,7,17,10,12,12,11,11,12,13,14,16,11,10,11,15,9,11,17,17,11,18,14,10,11,15,15,13,16,13,9,18,18,12,17,9,9,12,18,12,18,14,15,16,10,11,14,9,12,17,5,12,12,6,24,12,12,14,7,13,12,13,14,8,11,9,11,13,10,11,12,9,15,18,15,12,13,14,10,13,13,11,13,16,8,16,11,9,16,12,14,8,9,15,11,21,14,18,12,13,15,12,19,15,11,11,10,13,15,12,12,16,9,18,8,13,17,9,15,8,7,12,14,6,8,17,10,11,14,11,13,12,11,9,12,20,12,13,12,12,9,15,24,7,17,11,17,11,12,14,11,16,21,14,20,13,11,15,19)
> 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 
-11.8896  -2.8896  -0.1878   2.4086  11.3212 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 18.31118    1.26057  14.526  < 2e-16 ***
x            0.29820    0.09473   3.148  0.00197 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.103 on 157 degrees of freedom
Multiple R-squared: 0.05936,	Adjusted R-squared: 0.05337 
F-statistic: 9.908 on 1 and 157 DF,  p-value: 0.001969 

> postscript(file="/var/www/rcomp/tmp/1dtn01289984615.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/2dtn01289984615.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 
-3.593e-15 -3.620e-16 -2.180e-16  8.997e-16  9.565e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.831e+01  3.733e-16 4.905e+16   <2e-16 ***
x           2.982e-01  2.805e-17 1.063e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.215e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.13e+32 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3ol4l1289984615.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-11.8896  -2.8896  -0.1878   2.4086  11.3212 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -3.432e-16  1.261e+00 -2.72e-16        1
x            2.175e-17  9.473e-02  2.30e-16        1

Residual standard error: 4.103 on 157 degrees of freedom
Multiple R-squared: 5.579e-34,	Adjusted R-squared: -0.006369 
F-statistic: 8.758e-32 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4hu3o1289984615.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.3425 -0.5533 -0.2551  0.6395  3.3233 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.214e+01  8.174e-02    270.9   <2e-16 ***
m$residuals 3.658e-17  2.005e-02 1.82e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.031 on 157 degrees of freedom
Multiple R-squared: 2.8e-30,	Adjusted R-squared: -0.006369 
F-statistic: 4.396e-28 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/rcomp/tmp/5a3l91289984615.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 
-11.7744  -2.8569  -0.1528   2.4289  11.7328 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.02219    0.32311  -0.069   0.9453  
Residuals    0.15728    0.07974   1.972   0.0503 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.061 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.02433,	Adjusted R-squared: 0.01808 
F-statistic: 3.891 on 1 and 156 DF,  p-value: 0.05033 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/62v2u1289984615.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/72v2u1289984615.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/82v2u1289984615.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9v4jf1289984615.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/10rdz61289984615.tab") 
> 
> try(system("convert tmp/1dtn01289984615.ps tmp/1dtn01289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/2dtn01289984615.ps tmp/2dtn01289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ol4l1289984615.ps tmp/3ol4l1289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/4hu3o1289984615.ps tmp/4hu3o1289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/5a3l91289984615.ps tmp/5a3l91289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/62v2u1289984615.ps tmp/62v2u1289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/72v2u1289984615.ps tmp/72v2u1289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/82v2u1289984615.ps tmp/82v2u1289984615.png",intern=TRUE))
character(0)
> try(system("convert tmp/9v4jf1289984615.ps tmp/9v4jf1289984615.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.920   0.820   3.707