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(3.286888613,3.286888613,3.225241361,3.170529169,3.181733745,3.203743504,3.214554927,3.203743504,3.170529169,3.15918711,3.136076752,3.214554927,3.225241361,3.225241361,3.203743504,3.192804131,3.203743504,3.225241361,3.225241361,3.214554927,3.203743504,3.181733745,3.147704153,3.170529169,3.15918711,3.15918711,3.147704153,3.136076752,3.136076752,3.147704153,3.147704153,3.136076752,3.147704153,3.112373756,3.050312454,3.088046925,3.063062534,3.024272247,3.024272247,3.024272247,3.050312454,3.063062534,3.037384044,2.997477148,2.941437797,2.897059698,2.955769343,3.112373756,3.136076752,3.088046925,3.010971785,2.969882078,3.010971785,3.112373756,3.147704153,3.147704153,3.112373756,3.063062534,3.075639139,3.15918711,3.181733745)
> x <- c(3.147704153,3.15918711,3.112373756,3.088046925,3.100290365,3.124301227,3.124301227,3.124301227,3.088046925,3.088046925,3.037384044,3.088046925,3.088046925,3.100290365,3.112373756,3.112373756,3.136076752,3.15918711,3.170529169,3.170529169,3.170529169,3.136076752,3.063062534,3.010971785,2.969882078,2.983782584,3.010971785,3.024272247,3.037384044,3.050312454,3.037384044,3.010971785,3.024272247,2.997477148,2.941437797,2.983782584,2.969882078,2.941437797,2.926880548,2.912090374,2.955769343,2.997477148,2.997477148,2.941437797,2.897059698,2.850443122,2.897059698,3.050312454,3.063062534,3.010971785,2.897059698,2.850443122,2.912090374,3.037384044,3.112373756,3.136076752,3.112373756,3.075639139,3.088046925,3.147704153,3.15918711)
> 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 
-0.092170 -0.022069  0.004654  0.017583  0.094668 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.51711    0.18483   2.798  0.00694 ** 
x            0.85775    0.06068  14.135  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.04093 on 59 degrees of freedom
Multiple R-squared: 0.772,	Adjusted R-squared: 0.7682 
F-statistic: 199.8 on 1 and 59 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/13baa1256748761.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/25jot1256748761.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 
-1.719e-14 -1.654e-17  2.732e-16  5.676e-16  9.750e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.171e-01  1.033e-14 5.006e+13   <2e-16 ***
x           8.577e-01  3.391e-15 2.529e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.287e-15 on 59 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.398e+28 on 1 and 59 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3tsjg1256748761.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.092170 -0.022069  0.004654  0.017583  0.094668 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  3.132e-17  1.848e-01  1.69e-16        1
x           -1.029e-17  6.068e-02 -1.70e-16        1

Residual standard error: 0.04093 on 59 degrees of freedom
Multiple R-squared: 6.068e-33,	Adjusted R-squared: -0.01695 
F-statistic: 3.58e-31 on 1 and 59 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4bk9g1256748762.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.166582 -0.052210  0.004856  0.058089  0.107971 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  3.129e+00  9.643e-03     324.4   <2e-16 ***
m$residuals -1.276e-14  2.396e-01 -5.33e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.07531 on 59 degrees of freedom
Multiple R-squared: 4.184e-28,	Adjusted R-squared: -0.01695 
F-statistic: 2.469e-26 on 1 and 59 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/548om1256748762.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 
-0.028412 -0.010124 -0.001945  0.012067  0.069733 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.001824   0.002373  -0.768    0.445    
Residuals    0.876184   0.059084  14.829   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.01838 on 58 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.7913,	Adjusted R-squared: 0.7877 
F-statistic: 219.9 on 1 and 58 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6huqe1256748762.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/74np61256748762.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8x1pc1256748762.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9hp491256748762.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/10ux761256748762.tab") 
> 
> system("convert tmp/13baa1256748761.ps tmp/13baa1256748761.png")
> system("convert tmp/25jot1256748761.ps tmp/25jot1256748761.png")
> system("convert tmp/3tsjg1256748761.ps tmp/3tsjg1256748761.png")
> system("convert tmp/4bk9g1256748762.ps tmp/4bk9g1256748762.png")
> system("convert tmp/548om1256748762.ps tmp/548om1256748762.png")
> system("convert tmp/6huqe1256748762.ps tmp/6huqe1256748762.png")
> system("convert tmp/74np61256748762.ps tmp/74np61256748762.png")
> system("convert tmp/8x1pc1256748762.ps tmp/8x1pc1256748762.png")
> system("convert tmp/9hp491256748762.ps tmp/9hp491256748762.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.824   1.350   3.758