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(6,6,13,8,7,9,5,8,9,11,8,11,12,8,7,9,12,20,7,8,8,16,10,6,8,9,9,11,12,8,7,8,9,4,8,8,8,6,8,4,7,14,10,9,6,8,11,8,8,10,8,10,7,8,7,9,5,7,7,7,9,5,8,8,8,9,6,8,6,4,6,4,12,6,11,8,10,10,4,8,9,9,7,7,11,8,8,7,5,7,9,8,6,8,10,10,8,11,8,8,6,20,6,12,9,5,10,5,6,10,6,10,5,13,7,9,11,8,5,4,9,7,5,5,4,7,9,8,8,11,10,9,12,10,10,7,10,6,6,11,8,9,9,13,11,4,9,5,4,9)
> x <- c(12,11,14,12,21,12,22,11,10,13,10,8,15,10,14,14,11,10,13,7,12,14,11,9,11,15,13,9,15,10,11,13,8,20,12,10,10,9,14,8,14,11,13,11,15,11,10,14,18,14,11,12,13,9,10,15,20,12,12,14,13,11,17,12,13,14,13,15,13,10,11,13,17,13,9,11,10,9,12,12,13,13,22,13,15,13,15,10,11,16,11,11,10,10,16,12,11,16,19,11,15,24,14,15,11,15,12,10,14,13,9,15,15,14,11,8,11,11,8,10,11,13,11,20,10,12,14,23,14,16,11,12,10,14,12,12,11,12,13,17,11,12,19,18,15,14,11,9,18,16)
> 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 
-4.8377 -1.8185 -0.1457  1.5275 11.9312 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  7.29993    0.91069   8.016 3.03e-13 ***
x            0.07689    0.06892   1.116    0.266    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.656 on 148 degrees of freedom
Multiple R-squared: 0.008339,	Adjusted R-squared: 0.001638 
F-statistic: 1.245 on 1 and 148 DF,  p-value: 0.2664 

> postscript(file="/var/www/html/rcomp/tmp/1uiba1289869124.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/259ad1289869124.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 
-2.702e-15 -1.882e-15 -1.652e-15 -8.284e-16  2.138e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 7.300e+00  6.052e-15 1.206e+15   <2e-16 ***
x           7.689e-02  4.580e-16 1.679e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.765e-14 on 148 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.818e+28 on 1 and 148 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/359ad1289869124.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.8377 -1.8185 -0.1457  1.5275 11.9312 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.038e-15  9.107e-01 -1.14e-15        1
x            9.220e-17  6.892e-02  1.34e-15        1

Residual standard error: 2.656 on 148 degrees of freedom
Multiple R-squared: 1.483e-32,	Adjusted R-squared: -0.006757 
F-statistic: 2.194e-30 on 1 and 148 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4y09g1289869124.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.44852 -0.14096 -0.06407  0.08970  0.85859 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  8.287e+00  1.988e-02     416.7   <2e-16 ***
m$residuals -4.553e-16  7.538e-03 -6.04e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2435 on 148 degrees of freedom
Multiple R-squared: 6.938e-28,	Adjusted R-squared: -0.006757 
F-statistic: 1.027e-25 on 1 and 148 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/59sr11289869124.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 
-4.8714 -1.5201 -0.1648  1.5409 11.8498 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.01497    0.21776   0.069    0.945
Residuals    0.01723    0.08228   0.209    0.834

Residual standard error: 2.658 on 147 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0002984,	Adjusted R-squared: -0.006502 
F-statistic: 0.04387 on 1 and 147 DF,  p-value: 0.8344 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/61j8m1289869124.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/71j8m1289869124.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8us771289869124.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9us771289869124.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/108knf1289869124.tab") 
> 
> try(system("convert tmp/1uiba1289869124.ps tmp/1uiba1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/259ad1289869124.ps tmp/259ad1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/359ad1289869124.ps tmp/359ad1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/4y09g1289869124.ps tmp/4y09g1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/59sr11289869124.ps tmp/59sr11289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/61j8m1289869124.ps tmp/61j8m1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/71j8m1289869124.ps tmp/71j8m1289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/8us771289869124.ps tmp/8us771289869124.png",intern=TRUE))
character(0)
> try(system("convert tmp/9us771289869124.ps tmp/9us771289869124.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.825   1.361   2.346