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(24,25,17,18,18,16,20,16,18,17,23,30,23,18,15,12,21,15,20,31,27,34,21,31,19,16,20,21,22,17,24,25,26,25,17,32,33,13,32,25,29,22,18,17,20,15,20,33,29,23,26,18,20,11,28,26,22,17,12,14,17,21,19,18,10,29,31,19,9,20,28,19,30,29,26,23,13,21,19,28,23,18,21,20,23,21,21,15,28,19,26,10,16,22,19,31,31,29,19,22,23,15,20,18,23,25,21,24,25,17,13,28,21,25,9,16,19,17,25,20,29,14,22,15,19,20,15,20,18,33,22,16,17,16,21,26,18,18,17,22,30,30,24,21,21,29,31,20,16,22,20,28,38,22,20,17,28,22,31)
> 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 
-11.0254  -3.9832  -0.5716   3.8361  13.5208 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  14.5636     1.6658   8.743 3.29e-15 ***
x             0.5462     0.1252   4.363 2.32e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.422 on 157 degrees of freedom
Multiple R-squared: 0.1081,	Adjusted R-squared: 0.1025 
F-statistic: 19.03 on 1 and 157 DF,  p-value: 2.316e-05 

> postscript(file="/var/www/html/rcomp/tmp/1kkvf1289930294.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/2kkvf1289930294.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 
-1.016e-14 -2.392e-15 -2.138e-15 -1.374e-15  2.907e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.456e+01  7.162e-15 2.033e+15   <2e-16 ***
x           5.462e-01  5.383e-16 1.015e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.331e-14 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.03e+30 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3uuui1289930294.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-11.0254  -3.9832  -0.5716   3.8361  13.5208 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  2.478e-15  1.666e+00  1.49e-15        1
x           -1.846e-16  1.252e-01 -1.47e-15        1

Residual standard error: 5.422 on 157 degrees of freedom
Multiple R-squared: 1.499e-32,	Adjusted R-squared: -0.006369 
F-statistic: 2.353e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4nlul1289930294.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.2904 -1.0134 -0.4672  1.1714  6.0870 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.158e+01  1.497e-01    144.2   <2e-16 ***
m$residuals 2.680e-16  2.779e-02 9.64e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.888 on 157 degrees of freedom
Multiple R-squared: 3.199e-29,	Adjusted R-squared: -0.006369 
F-statistic: 5.022e-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/5gub61289930294.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 
-10.6504  -4.0151  -0.5057   3.3603  13.8347 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.01654    0.42826  -0.039   0.9692  
Residuals    0.13454    0.07956   1.691   0.0928 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.383 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.018,	Adjusted R-squared: 0.01171 
F-statistic:  2.86 on 1 and 156 DF,  p-value: 0.0928 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6gub61289930294.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7gub61289930294.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8qla91289930294.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9qla91289930294.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/10f47k1289930294.tab") 
> 
> try(system("convert tmp/1kkvf1289930294.ps tmp/1kkvf1289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/2kkvf1289930294.ps tmp/2kkvf1289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/3uuui1289930294.ps tmp/3uuui1289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/4nlul1289930294.ps tmp/4nlul1289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/5gub61289930294.ps tmp/5gub61289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/6gub61289930294.ps tmp/6gub61289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/7gub61289930294.ps tmp/7gub61289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/8qla91289930294.ps tmp/8qla91289930294.png",intern=TRUE))
character(0)
> try(system("convert tmp/9qla91289930294.ps tmp/9qla91289930294.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.872   1.395   2.294