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(38,36,23,30,26,26,30,27,34,28,36,42,31,30,26,16,30,23,28,45,42,50,30,45,30,24,29,30,31,26,34,41,37,33,26,48,44,29,44,37,43,31,28,26,30,27,34,47,39,37,42,27,30,17,36,39,32,25,19,29,26,31,31,31,20,40,39,28,22,31,36,28,39,44,35,33,27,33,31,39,37,24,33,28,37,32,31,29,40,29,40,15,27,32,28,41,47,42,28,32,33,22,29,26,37,39,29,33,39,31,21,36,29,32,15,24,25,28,39,31,40,25,36,23,39,31,23,31,28,47,33,25,26,24,31,39,31,30,25,35,44,42,38,36,34,45,40,29,25,30,27,44,49,31,31,26,42,35,47)
> x <- c(23,15,25,18,21,19,15,22,19,20,26,26,21,18,19,19,18,19,24,28,20,29,27,18,19,24,21,22,25,19,15,34,23,19,26,15,15,17,30,19,28,23,23,21,18,19,24,15,20,24,9,20,20,10,44,20,20,20,11,21,21,19,21,17,16,14,19,21,16,19,19,16,24,29,21,20,19,23,18,19,23,19,21,26,13,23,16,17,30,19,22,14,14,21,21,33,23,30,19,21,25,18,29,25,21,16,17,23,26,18,19,28,20,29,19,18,25,15,24,12,11,19,25,12,15,25,14,19,23,19,24,20,16,13,20,30,18,22,21,25,18,25,44,12,28,17,26,18,21,24,20,24,28,20,33,19,19,25,35)
> 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 
-16.602  -5.050  -1.126   4.505  18.081 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  23.6088     2.1873   10.79  < 2e-16 ***
x             0.4207     0.1004    4.19 4.64e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.943 on 157 degrees of freedom
Multiple R-squared: 0.1006,	Adjusted R-squared: 0.09484 
F-statistic: 17.56 on 1 and 157 DF,  p-value: 4.643e-05 

> postscript(file="/var/www/html/rcomp/tmp/1ttfa1289572163.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/2l2eu1289572163.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 
-2.590e-14 -1.137e-15 -2.321e-17  1.958e-15  2.124e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.361e+01  1.047e-15 2.255e+16   <2e-16 ***
x           4.207e-01  4.805e-17 8.755e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.323e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.665e+31 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3wtdf1289572163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-16.602  -5.050  -1.126   4.505  18.081 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  2.496e-15  2.187e+00  1.14e-15        1
x           -1.284e-16  1.004e-01 -1.28e-15        1

Residual standard error: 6.943 on 157 degrees of freedom
Multiple R-squared: 1.793e-32,	Adjusted R-squared: -0.006369 
F-statistic: 2.814e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4wtdf1289572163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5.0829 -1.2965 -0.4551  1.2277  9.6418 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.248e+01  1.841e-01    176.4   <2e-16 ***
m$residuals 4.594e-17  2.669e-02 1.72e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.322 on 157 degrees of freedom
Multiple R-squared: 4.468e-29,	Adjusted R-squared: -0.006369 
F-statistic: 7.015e-27 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/57kc01289572163.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 
-15.9968  -4.6096  -0.7707   4.2238  19.4122 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.02143    0.54687  -0.039   0.9688  
Residuals    0.15329    0.07940   1.930   0.0554 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.874 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.02333,	Adjusted R-squared: 0.01707 
F-statistic: 3.727 on 1 and 156 DF,  p-value: 0.05536 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6zbc31289572163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zbc31289572163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8s3b61289572163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9s3b61289572163.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/106cqf1289572163.tab") 
> 
> try(system("convert tmp/1ttfa1289572163.ps tmp/1ttfa1289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/2l2eu1289572163.ps tmp/2l2eu1289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/3wtdf1289572163.ps tmp/3wtdf1289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/4wtdf1289572163.ps tmp/4wtdf1289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/57kc01289572163.ps tmp/57kc01289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/6zbc31289572163.ps tmp/6zbc31289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/7zbc31289572163.ps tmp/7zbc31289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/8s3b61289572163.ps tmp/8s3b61289572163.png",intern=TRUE))
character(0)
> try(system("convert tmp/9s3b61289572163.ps tmp/9s3b61289572163.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.879   1.452   5.082