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(5,2,6,6,5,5,6,6,5,5,5,6,5,5,6,6,4,5,5,5,5,7,6,6,6,6,4,5,6,4,5,5,5,7,7,6,7,6,5,6,4,6,5,5,6,6,5,6,5,5,5,6,6,5,7,6,5,5,6,5,5,6,6,3,5,5,6,5,5,4,5,5,2,6,6,6,6,5,5,6,5,5,6,3,6,3,5,6,5,6,6,6,5,3,7,6,6,5,4,6,6,6,5,6,6,2,6,5,3,4,6,6,4,6,4,5,6,5,5,6,6,5,6,5,2,6,6,5,5,5,2,5,6,6,5,5,3,6,6,6,5,7,6,6,6,7,6,6)
> x <- c(10,20,40,67,38,61,29,30,0,10,39,70,65,77,29,60,45,50,31,91,56,20,65,60,27,47,60,10,60,90,15,65,5,72,70,80,70,40,20,75,30,40,20,82,50,87,26,61,67,24,70,80,10,70,50,82,38,70,76,70,90,70,70,13,35,10,66,30,0,35,80,70,55,74,40,50,63,60,35,25,40,40,56,18,60,52,61,50,0,71,39,80,71,55,80,40,72,40,70,100,93,25,40,68,80,25,91,79,70,76,65,64,70,80,65,82,48,60,60,65,65,60,38,70,75,67,90,71,68,80,18,65,30,76,71,70,0,78,49,40,80,90,62,71,80,80,67,35)
> 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 
-3.5258 -0.4696  0.2663  0.6231  2.0921 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 4.683234   0.209037  22.404  < 2e-16 ***
x           0.011234   0.003507   3.204  0.00167 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.015 on 146 degrees of freedom
Multiple R-squared: 0.06568,	Adjusted R-squared: 0.05928 
F-statistic: 10.26 on 1 and 146 DF,  p-value: 0.001666 

> postscript(file="/var/www/html/rcomp/tmp/1lrss1289743946.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/2lrss1289743946.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 
-7.960e-16 -4.317e-16 -1.076e-16  1.829e-16  1.641e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.683e+00  2.905e-16 1.612e+16   <2e-16 ***
x           1.123e-02  4.874e-18 2.305e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.41e-15 on 146 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.313e+30 on 1 and 146 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3d09d1289743946.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-3.5258 -0.4696  0.2663  0.6231  2.0921 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.432e-16  2.090e-01  6.85e-16        1
x           -1.535e-18  3.507e-03 -4.38e-16        1

Residual standard error: 1.015 on 146 degrees of freedom
Multiple R-squared: 5.842e-33,	Adjusted R-squared: -0.006849 
F-statistic: 8.53e-31 on 1 and 146 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4o9rg1289743946.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.6141 -0.1872  0.0712  0.1835  0.5093 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  5.297e+00  2.212e-02     239.5   <2e-16 ***
m$residuals -4.527e-18  2.194e-02 -2.06e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2691 on 146 degrees of freedom
Multiple R-squared: 2.762e-30,	Adjusted R-squared: -0.006849 
F-statistic: 4.032e-28 on 1 and 146 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/5z0811289743946.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 
-3.5095 -0.4600  0.2751  0.6285  2.1033 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.001188   0.083933  -0.014    0.989
Residuals    0.032187   0.083229   0.387    0.700

Residual standard error: 1.018 on 145 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.00103,	Adjusted R-squared: -0.005859 
F-statistic: 0.1496 on 1 and 145 DF,  p-value: 0.6995 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6z0811289743946.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7asp41289743946.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8asp41289743946.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9k1671289743946.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/10yt4g1289743946.tab") 
> 
> try(system("convert tmp/1lrss1289743946.ps tmp/1lrss1289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lrss1289743946.ps tmp/2lrss1289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/3d09d1289743946.ps tmp/3d09d1289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/4o9rg1289743946.ps tmp/4o9rg1289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/5z0811289743946.ps tmp/5z0811289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/6z0811289743946.ps tmp/6z0811289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/7asp41289743946.ps tmp/7asp41289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/8asp41289743946.ps tmp/8asp41289743946.png",intern=TRUE))
character(0)
> try(system("convert tmp/9k1671289743946.ps tmp/9k1671289743946.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.893   1.409   2.316