R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(26,23,25,23,19,29,25,21,22,25,24,18,22,15,22,28,20,12,24,20,21,20,21,23,28,24,24,24,23,23,29,24,18,25,21,26,22,22,22,23,30,23,17,23,23,25,24,24,23,21,24,24,28,16,20,29,27,22,28,16,25,24,28,24,23,30,24,21,25,25,22,23,26,23,25,21,25,24,29,22,27,26,22,24,27,24,24,29,22,21,24,24,23,20,27,26,25,21,21,19,21,21,16,22,29,15,17,15,21,21,19,24,20,17,23,24,14,19,24,13,22,16,19,25,25,23,24,26,26,25,18,21,26,23,23,22,20,13,24,15,14,22,10,24,22,24,19,20,13,20,22,24,29,12,20,21,24,22,20)
> x <- c(14,11,6,12,8,10,10,11,16,11,13,12,8,12,11,4,9,8,8,14,15,16,9,14,11,8,9,9,9,9,10,16,11,8,9,16,11,16,12,12,14,9,10,9,10,12,14,14,10,14,16,9,10,6,8,13,10,8,7,15,9,10,12,13,10,11,8,9,13,11,8,9,9,15,9,10,14,12,12,11,14,6,12,8,14,11,10,14,12,10,14,5,11,10,9,10,16,13,9,10,10,7,9,8,14,14,8,9,14,14,8,8,8,7,6,8,6,11,14,11,11,11,14,8,20,11,8,11,10,14,11,9,9,8,10,13,13,12,8,13,14,12,14,15,13,16,9,9,9,8,7,16,11,9,11,9,14,13,16)
> 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 
-12.6359  -1.6846   0.6563   2.0589   7.6563 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 21.27261    1.24834  17.041   <2e-16 ***
x            0.09738    0.11101   0.877    0.382    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.908 on 157 degrees of freedom
Multiple R-squared: 0.004877,	Adjusted R-squared: -0.001461 
F-statistic: 0.7694 on 1 and 157 DF,  p-value: 0.3817 

> postscript(file="/var/www/rcomp/tmp/1lsgt1289739589.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/rcomp/tmp/2lsgt1289739589.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 
-2.055e-15 -9.393e-16  6.257e-17  7.186e-16  1.913e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.127e+01  5.750e-16 3.700e+16   <2e-16 ***
x           9.738e-02  5.113e-17 1.904e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.8e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.627e+30 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3e2ge1289739589.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-12.6359  -1.6846   0.6563   2.0589   7.6563 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)
(Intercept) 9.977e-18  1.248e+00 7.99e-18        1
x           1.769e-18  1.110e-01 1.59e-17        1

Residual standard error: 3.908 on 157 degrees of freedom
Multiple R-squared: 6.808e-34,	Adjusted R-squared: -0.006369 
F-statistic: 1.069e-31 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/47twh1289739589.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.67122 -0.18434  0.01041  0.20516  0.88680 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.233e+01  2.170e-02     1029   <2e-16 ***
m$residuals 1.960e-17  5.587e-03 3.51e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2736 on 157 degrees of freedom
Multiple R-squared: 5.908e-29,	Adjusted R-squared: -0.006369 
F-statistic: 9.276e-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/rcomp/tmp/5z2e21289739589.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 
-12.5709  -1.4888   0.5531   2.1344   7.6076 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.02300    0.30974  -0.074    0.941
Residuals    0.09507    0.07965   1.194    0.234

Residual standard error: 3.893 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.009051,	Adjusted R-squared: 0.002699 
F-statistic: 1.425 on 1 and 156 DF,  p-value: 0.2344 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6z2e21289739589.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7abd51289739589.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8abd51289739589.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9abd51289739589.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/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/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/rcomp/tmp/1063bv1289739589.tab") 
> 
> try(system("convert tmp/1lsgt1289739589.ps tmp/1lsgt1289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lsgt1289739589.ps tmp/2lsgt1289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/3e2ge1289739589.ps tmp/3e2ge1289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/47twh1289739589.ps tmp/47twh1289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/5z2e21289739589.ps tmp/5z2e21289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/6z2e21289739589.ps tmp/6z2e21289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/7abd51289739589.ps tmp/7abd51289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/8abd51289739589.ps tmp/8abd51289739589.png",intern=TRUE))
character(0)
> try(system("convert tmp/9abd51289739589.ps tmp/9abd51289739589.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
   2.88    1.20    4.09