R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(13,16,19,15,14,13,19,15,14,15,16,16,16,17,15,15,20,18,16,16,19,16,17,17,16,15,14,15,12,14,16,14,7,10,14,16,16,16,14,20,14,14,11,15,16,14,16,14,12,16,9,14,16,16,15,16,12,16,16,14,16,17,18,18,12,16,10,14,18,18,16,16,16,13,16,16,20,16,15,15,16,14,15,12,17,16,15,13,16,16,16,16,14,16,16,20,15,16,13,17,16,12,16,16,17,13,12,18,14,14,13,16,13,16,13,16,15,16,15,17,15,12,16,10,16,14,15,13,15,11,12,8,16,15,17,16,10,18,13,15,16,16,14,10,17,13,15,16,12,13)
> x <- c(25,24,21,23,17,19,18,27,23,23,29,21,26,25,25,23,26,20,29,24,23,24,30,22,22,13,24,17,24,21,23,24,24,24,23,26,24,21,23,28,23,22,24,21,23,23,20,23,21,27,12,15,22,21,21,20,24,24,29,25,14,30,19,29,25,25,25,16,25,28,24,25,21,22,20,25,27,21,13,26,26,25,22,19,23,25,15,21,23,25,24,24,21,24,22,24,28,21,17,28,24,10,20,22,19,22,22,26,24,22,20,20,15,20,20,24,22,29,23,24,22,16,23,27,16,21,26,22,23,19,18,24,24,29,22,24,22,12,26,18,22,24,21,15,23,22,22,24,23,13)
> 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 
-8.1989 -1.0520  0.4339  1.1909  4.8011 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 11.67381    1.07237  10.886  < 2e-16 ***
x            0.14688    0.04725   3.109  0.00225 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.21 on 148 degrees of freedom
Multiple R-squared: 0.0613,	Adjusted R-squared: 0.05495 
F-statistic: 9.664 on 1 and 148 DF,  p-value: 0.002254 

> postscript(file="/var/www/rcomp/tmp/17e7v1292696957.ps",horizontal=F,onefile=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/27e7v1292696957.ps",horizontal=F,onefile=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 
-1.192e-14 -4.431e-16  8.030e-17  5.037e-16  1.857e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.167e+01  5.657e-16 2.064e+16   <2e-16 ***
x           1.469e-01  2.492e-17 5.893e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.166e-15 on 148 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.473e+31 on 1 and 148 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3agrt1292696958.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.1989 -1.0520  0.4339  1.1909  4.8011 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.468e-16  1.072e+00       0        1
x            4.139e-18  4.725e-02       0        1

Residual standard error: 2.21 on 148 degrees of freedom
Multiple R-squared: 8.334e-34,	Adjusted R-squared: -0.006757 
F-statistic: 1.233e-31 on 1 and 148 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4lpqw1292696958.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.81739 -0.20172  0.09204  0.23892  1.12020 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.496e+01  4.610e-02   324.5   <2e-16 ***
m$residuals 1.297e-17  2.101e-02     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5646 on 148 degrees of freedom
Multiple R-squared: 6.688e-30,	Adjusted R-squared: -0.006757 
F-statistic: 9.898e-28 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/rcomp/tmp/5wyqz1292696958.ps",horizontal=F,onefile=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 
-8.2104 -1.0722  0.4872  1.2020  4.7815 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.015730   0.180933   0.087    0.931
Residuals   0.003539   0.082181   0.043    0.966

Residual standard error: 2.209 on 147 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 1.262e-05,	Adjusted R-squared: -0.00679 
F-statistic: 0.001855 on 1 and 147 DF,  p-value: 0.9657 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6wyqz1292696958.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7o7pj1292696958.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8o7pj1292696958.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9o7pj1292696958.ps",horizontal=F,onefile=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/10dqmv1292696958.tab") 
> 
> try(system("convert tmp/17e7v1292696957.ps tmp/17e7v1292696957.png",intern=TRUE))
character(0)
> try(system("convert tmp/27e7v1292696957.ps tmp/27e7v1292696957.png",intern=TRUE))
character(0)
> try(system("convert tmp/3agrt1292696958.ps tmp/3agrt1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/4lpqw1292696958.ps tmp/4lpqw1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/5wyqz1292696958.ps tmp/5wyqz1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/6wyqz1292696958.ps tmp/6wyqz1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/7o7pj1292696958.ps tmp/7o7pj1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/8o7pj1292696958.ps tmp/8o7pj1292696958.png",intern=TRUE))
character(0)
> try(system("convert tmp/9o7pj1292696958.ps tmp/9o7pj1292696958.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.440   1.340   3.775