R version 2.8.1 (2008-12-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(2.55,2.27,2.26,2.57,3.07,2.76,2.51,2.87,3.14,3.11,3.16,2.47,2.57,2.89,2.63,2.38,1.69,1.96,2.19,1.87,1.60,1.63,1.22,1.21,1.49,1.64,1.66,1.77,1.82,1.78,1.28,1.29,1.37,1.12,1.51,2.24,2.94,3.09,3.46,3.64,4.39,4.15,5.21,5.80,5.91,5.39,5.46,4.72,3.14,2.63,2.32,1.93,0.62,0.60,-0.37,-1.10,-1.68,-0.78)
> x <- c(-0.5349,-0.5348,-0.5591,-0.5200,-0.5173,-0.5153,-0.5048,-0.4950,-0.4597,-0.4681,-0.4909,-0.4579,-0.4758,-0.4662,-0.4821,-0.4767,-0.4740,-0.5295,-0.5075,-0.5222,-0.5377,-0.5108,-0.5197,-0.5292,-0.5024,-0.5175,-0.5088,-0.5180,-0.5177,-0.5027,-0.5002,-0.4882,-0.4603,-0.4687,-0.5092,-0.4729,-0.4488,-0.5085,-0.5142,-0.5130,-0.4721,-0.5425,-0.5123,-0.4845,-0.4950,-0.5024,-0.5349,-0.5861,-0.6495,-0.6751,-0.7095,-0.6941,-0.6794,-0.6559,-0.6051,-0.5713,-0.5532,-0.5341)
> 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 
-3.88696 -0.85732 -0.05888  0.62181  3.37265 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)    5.347      1.757   3.044  0.00355 **
x              5.677      3.319   1.710  0.09274 . 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.523 on 56 degrees of freedom
Multiple R-squared: 0.04964,	Adjusted R-squared: 0.03267 
F-statistic: 2.925 on 1 and 56 DF,  p-value: 0.09274 

> postscript(file="/var/www/rcomp/tmp/1ykpc1256672572.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/2stdp1256672572.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 
-2.587e-15 -5.319e-17  1.924e-17  1.477e-16  4.388e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.347e+00  4.466e-16 1.197e+16   <2e-16 ***
x           5.677e+00  8.439e-16 6.727e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.873e-16 on 56 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.526e+31 on 1 and 56 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/39rhp1256672572.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-3.88696 -0.85732 -0.05888  0.62181  3.37265 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)
(Intercept) 3.851e-17  1.757e+00 2.19e-17        1
x           1.264e-16  3.319e+00 3.81e-17        1

Residual standard error: 1.523 on 56 degrees of freedom
Multiple R-squared: 4.812e-34,	Adjusted R-squared: -0.01786 
F-statistic: 2.695e-32 on 1 and 56 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/42wuu1256672572.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.04275 -0.05143  0.07474  0.20971  0.43721 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.362e+00  4.572e-02     51.67   <2e-16 ***
m$residuals -5.344e-18  3.054e-02 -1.75e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3482 on 56 degrees of freedom
Multiple R-squared: 4.997e-30,	Adjusted R-squared: -0.01786 
F-statistic: 2.798e-28 on 1 and 56 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/5apom1256672572.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 
-1.32746 -0.24657  0.08175  0.27842  0.97627 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.05763    0.06567  -0.878    0.384    
Residuals    0.98402    0.04519  21.774   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.4955 on 55 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8961,	Adjusted R-squared: 0.8942 
F-statistic: 474.1 on 1 and 55 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6zch71256672572.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7jttj1256672572.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/81cpj1256672572.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/91ygk1256672572.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/10cn0c1256672572.tab") 
> 
> system("convert tmp/1ykpc1256672572.ps tmp/1ykpc1256672572.png")
> system("convert tmp/2stdp1256672572.ps tmp/2stdp1256672572.png")
> system("convert tmp/39rhp1256672572.ps tmp/39rhp1256672572.png")
> system("convert tmp/42wuu1256672572.ps tmp/42wuu1256672572.png")
> system("convert tmp/5apom1256672572.ps tmp/5apom1256672572.png")
> system("convert tmp/6zch71256672572.ps tmp/6zch71256672572.png")
> system("convert tmp/7jttj1256672572.ps tmp/7jttj1256672572.png")
> system("convert tmp/81cpj1256672572.ps tmp/81cpj1256672572.png")
> system("convert tmp/91ygk1256672572.ps tmp/91ygk1256672572.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.010   1.850   3.624