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(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(24,25,30,19,22,22,25,23,17,21,19,19,15,16,23,27,22,14,22,23,23,21,19,18,20,23,25,19,24,22,25,26,29,32,25,29,28,17,28,29,26,25,14,25,26,20,18,32,25,25,23,21,20,15,30,24,26,24,22,14,24,24,24,24,19,31,22,27,19,25,20,21,27,23,25,20,21,22,23,25,25,17,19,25,19,20,26,23,27,17,17,19,17,22,21,32,21,21,18,18,23,19,20,21,20,17,18,19,22,15,14,18,24,35,29,21,25,20,22,13,26,17,25,20,19,21,22,24,21,26,24,16,23,18,16,26,19,21,21,22,23,29,21,21,23,27,25,21,10,20,26,24,29,19,24,19,24,22,17)
> 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 
-11.9600  -1.9600   0.3877   2.0724   7.3661 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 15.11118    1.55908   9.692  < 2e-16 ***
x            0.32614    0.06917   4.715  5.3e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.666 on 157 degrees of freedom
Multiple R-squared: 0.124,	Adjusted R-squared: 0.1185 
F-statistic: 22.23 on 1 and 157 DF,  p-value: 5.298e-06 

> postscript(file="/var/www/html/rcomp/tmp/1tfb31289964094.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/2l6so1289964094.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 
-2.694e-13  2.220e-16  1.387e-15  2.546e-15  7.992e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.511e+01  9.189e-15 1.645e+15   <2e-16 ***
x           3.261e-01  4.077e-16 8.000e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.161e-14 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.4e+29 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3exrr1289964094.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-11.9600  -1.9600   0.3877   2.0724   7.3661 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.229e-16  1.559e+00 -7.88e-17        1
x           -1.990e-17  6.917e-02 -2.88e-16        1

Residual standard error: 3.666 on 157 degrees of freedom
Multiple R-squared: 2.067e-32,	Adjusted R-squared: -0.006369 
F-statistic: 3.246e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4exrr1289964094.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-3.96080 -1.02558 -0.04718  0.93123  4.19258 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.233e+01  1.094e-01     204.1   <2e-16 ***
m$residuals -3.891e-16  3.003e-02 -1.30e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.38 on 157 degrees of freedom
Multiple R-squared: 1.691e-28,	Adjusted R-squared: -0.006369 
F-statistic: 2.656e-26 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/5pp8c1289964094.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 
-11.7052  -1.8125   0.2147   2.3843   7.3822 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01976    0.29073  -0.068    0.946
Residuals    0.09151    0.07956   1.150    0.252

Residual standard error: 3.654 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.008409,	Adjusted R-squared: 0.002053 
F-statistic: 1.323 on 1 and 156 DF,  p-value: 0.2518 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6iy8w1289964094.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7iy8w1289964094.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8s77i1289964094.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9s77i1289964094.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/106zn81289964094.tab") 
> 
> try(system("convert tmp/1tfb31289964094.ps tmp/1tfb31289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/2l6so1289964094.ps tmp/2l6so1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/3exrr1289964094.ps tmp/3exrr1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/4exrr1289964094.ps tmp/4exrr1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/5pp8c1289964094.ps tmp/5pp8c1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/6iy8w1289964094.ps tmp/6iy8w1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/7iy8w1289964094.ps tmp/7iy8w1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/8s77i1289964094.ps tmp/8s77i1289964094.png",intern=TRUE))
character(0)
> try(system("convert tmp/9s77i1289964094.ps tmp/9s77i1289964094.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.878   1.406   6.910