R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(3,2.7,2.1,1.2,0.9,0.4,0.3,1.5,2,3.3,4,4,3.8,2.9,2.4,1.9,1.8,2.2,2,2.3,2.3,2.5,2.7,2.4,2.8,2.6,2.6,3.1,2.5,2.4,2.7,2.1,2.1,2.1,2.3,3,3.6,4.3,5,4.2,3.8,3.6,2.9,3,2.8,2.7,2.8,2.5,2.6,1.9,1.7,1.9,1.9,2.2,2.3,2.3,2.3,1.7,1.3,1.8)
> x <- c(3,2.6,2.4,1.1,0.7,0.4,0,1.5,2,3,3.8,4.2,4,3.2,3,1.7,1.7,1.9,1.8,2,1.7,2.2,3,2.3,2.7,2.2,1.4,2.2,1.9,2,2.5,1.9,1.9,1.6,1,2,2.9,4.2,5,4,3.2,2.4,2.4,3.1,3.1,2.6,2.1,1.1,1,1.6,1.2,1.8,2.1,1.5,1.4,1.9,1.8,1.7,1.7,1)
> 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 
-0.80717 -0.29251 -0.05938  0.23351  1.05592 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.73965    0.13542   5.462 1.03e-06 ***
x            0.80442    0.05663  14.204  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.4228 on 58 degrees of freedom
Multiple R-squared: 0.7767,	Adjusted R-squared: 0.7729 
F-statistic: 201.7 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/wessaorg/rcomp/tmp/1ujoh1321563162.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/wessaorg/rcomp/tmp/2enpj1321563162.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 
-3.148e-16 -1.536e-16  2.358e-17  1.118e-16  1.106e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 7.397e-01  6.727e-17 1.100e+16   <2e-16 ***
x           8.044e-01  2.813e-17 2.859e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.1e-16 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 8.176e+32 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3x47o1321563162.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.80717 -0.29251 -0.05938  0.23351  1.05592 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  6.515e-18  1.354e-01       0        1
x           -1.677e-18  5.663e-02       0        1

Residual standard error: 0.4228 on 58 degrees of freedom
Multiple R-squared: 5.792e-34,	Adjusted R-squared: -0.01724 
F-statistic: 3.359e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4qia11321563162.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.7604 -0.4129 -0.1515  0.4518  2.2618 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  2.500e+00  1.018e-01   24.56   <2e-16 ***
m$residuals -1.018e-16  2.449e-01    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.7886 on 58 degrees of freedom
Multiple R-squared: 7.873e-31,	Adjusted R-squared: -0.01724 
F-statistic: 4.566e-29 on 1 and 58 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/wessaorg/rcomp/tmp/592nu1321563162.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 
-0.75274 -0.21070 -0.05589  0.16037  0.72539 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.005142   0.044916   0.114    0.909    
Residuals   0.587987   0.107477   5.471 1.04e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.345 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.3443,	Adjusted R-squared: 0.3328 
F-statistic: 29.93 on 1 and 57 DF,  p-value: 1.039e-06 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6d05l1321563162.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/74egs1321563162.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8rsnl1321563162.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9bb3q1321563162.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/10ztaw1321563162.tab") 
> 
> try(system("convert tmp/1ujoh1321563162.ps tmp/1ujoh1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/2enpj1321563162.ps tmp/2enpj1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/3x47o1321563162.ps tmp/3x47o1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/4qia11321563162.ps tmp/4qia11321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/592nu1321563162.ps tmp/592nu1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/6d05l1321563162.ps tmp/6d05l1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/74egs1321563162.ps tmp/74egs1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/8rsnl1321563162.ps tmp/8rsnl1321563162.png",intern=TRUE))
character(0)
> try(system("convert tmp/9bb3q1321563162.ps tmp/9bb3q1321563162.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.446   0.487   2.943