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(10,20,40,67,38,61,29,0,30,39,70,65,5,30,50,90,45,75,76,15,10,60,67,60,80,70,70,87,27,65,56,82,30,38,56,70,80,71,50,31,40,71,71,10,20,40,55,80,80,72,60,29,70,60,63,70,38,40,80,24,40,47,70,75,60,65,91,68,90,20,61,13,80,40,70,39,93,10,25,56,18,60,74,35,71,100,64,50,40,35,60,70,55,65,30,25,80,26,78,10,70,65,80,60,74,49,70,66,65,40,40,20,90,48,25,35,40,77,70,82,80,52,71,70,50,80,72,80,91,18,70,76,65,35,62,76,50,68,80,90,79,30,60,100)
> x <- c(43,30,30,54,30,16,42,0,30,44,70,30,5,30,62,91,41,73,60,20,4,60,62,60,76,65,60,88,16,65,35,70,21,60,100,65,80,65,60,31,55,74,32,10,20,40,55,70,80,50,55,29,70,50,60,60,27,38,70,15,40,37,10,75,60,55,91,29,50,10,57,45,70,38,70,40,61,15,25,54,36,50,68,14,68,100,74,59,50,60,60,70,45,60,21,0,65,33,70,20,60,65,60,53,71,32,70,60,60,50,25,20,80,53,39,53,39,70,60,77,80,50,69,70,36,30,57,80,91,8,60,63,60,18,39,41,50,65,80,68,58,30,60,100)
> 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 
-40.7016  -6.6491  -0.0174   5.9792  48.3771 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 13.28080    2.87120   4.626 8.33e-06 ***
x            0.83421    0.05174  16.123  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 13.83 on 142 degrees of freedom
Multiple R-squared: 0.6467,	Adjusted R-squared: 0.6442 
F-statistic:   260 on 1 and 142 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/11dfq1289843704.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/21dfq1289843704.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 
-1.694e-14 -5.845e-15 -3.597e-15 -2.957e-15  2.907e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.328e+01  6.710e-15 1.979e+15   <2e-16 ***
x           8.342e-01  1.209e-16 6.899e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.232e-14 on 142 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.759e+31 on 1 and 142 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/31dfq1289843704.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-40.7016  -6.6491  -0.0174   5.9792  48.3771 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  3.715e-15  2.871e+00  1.29e-15        1
x           -7.310e-17  5.174e-02 -1.41e-15        1

Residual standard error: 13.83 on 142 degrees of freedom
Multiple R-squared: 1.427e-32,	Adjusted R-squared: -0.007042 
F-statistic: 2.027e-30 on 1 and 142 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4cnet1289843704.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-42.400 -15.079   3.482  12.449  41.021 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  5.568e+01  1.559e+00     35.71   <2e-16 ***
m$residuals -7.114e-16  1.135e-01 -6.27e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 18.71 on 142 degrees of freedom
Multiple R-squared: 9.778e-31,	Adjusted R-squared: -0.007042 
F-statistic: 1.388e-28 on 1 and 142 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/55eee1289843704.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 
-38.121  -6.675  -0.652   6.113  47.691 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept)  0.27709    1.11487   0.249   0.8041  
Residuals    0.14324    0.08091   1.770   0.0788 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 13.33 on 141 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.02175,	Adjusted R-squared: 0.01481 
F-statistic: 3.134 on 1 and 141 DF,  p-value: 0.07882 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6fnvh1289843704.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7fnvh1289843704.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8qeck1289843704.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9qeck1289843704.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/1046ab1289843704.tab") 
> 
> try(system("convert tmp/11dfq1289843704.ps tmp/11dfq1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/21dfq1289843704.ps tmp/21dfq1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/31dfq1289843704.ps tmp/31dfq1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/4cnet1289843704.ps tmp/4cnet1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/55eee1289843704.ps tmp/55eee1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/6fnvh1289843704.ps tmp/6fnvh1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/7fnvh1289843704.ps tmp/7fnvh1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/8qeck1289843704.ps tmp/8qeck1289843704.png",intern=TRUE))
character(0)
> try(system("convert tmp/9qeck1289843704.ps tmp/9qeck1289843704.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.880   1.415   2.700