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,-2,-3,-1,3,-4,-15,-17,-14,-9,-17,-7,-6,-1,0,-2,-4,-6,-2,1,7,2,2,13,7,-1,1,0,0,5,3,6,7,-6,-8,-5,-14,-13,-15,-14,-10,-14,-18,-22,-24,-17,-16,-17,-22,-25,-18,-23,-20,-9,-4,0,3,14,13,12)
> x <- c(8.6,8.3,8.3,8.3,8.4,8.5,8.4,8.6,8.5,8.5,8.4,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.6,8.4,8.1,8.0,8.0,8.0,8.0,7.9,7.8,7.8,7.9,8.1,8.0,7.6,7.3,7.0,6.8,7.0,7.1,7.2,7.1,6.9,6.7,6.7,6.6,6.9,7.3,7.5,7.3,7.1,6.9,7.1,7.5,7.7,7.8,7.8,7.7,7.8,7.8,7.9,7.9)
> 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 
-17.3826  -6.4121  -0.7862   6.0534  20.0029 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  -68.261     15.069  -4.530 2.99e-05 ***
x              7.982      1.920   4.156 0.000108 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 8.96 on 58 degrees of freedom
Multiple R-squared: 0.2295,	Adjusted R-squared: 0.2162 
F-statistic: 17.27 on 1 and 58 DF,  p-value: 0.0001079 

> postscript(file="/var/www/html/rcomp/tmp/17qp61257950054.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/2qmhy1257950054.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 
-1.021e-14 -7.611e-17  2.845e-17  2.948e-16  2.745e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -6.826e+01  2.675e-15 -2.552e+16   <2e-16 ***
x            7.982e+00  3.409e-16  2.341e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.591e-15 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.482e+32 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3xotr1257950054.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-17.3826  -6.4121  -0.7862   6.0534  20.0029 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.461e-15  1.507e+01  9.70e-17        1
x           -1.428e-16  1.920e+00 -7.43e-17        1

Residual standard error: 8.96 on 58 degrees of freedom
Multiple R-squared: 1.123e-33,	Adjusted R-squared: -0.01724 
F-statistic: 6.514e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4uepn1257950054.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-9.764 -4.177  0.612  4.603  6.199 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept) -5.817e+00  6.313e-01    -9.214 5.89e-13 ***
m$residuals -2.603e-17  7.166e-02 -3.63e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.89 on 58 degrees of freedom
Multiple R-squared: 2.73e-32,	Adjusted R-squared: -0.01724 
F-statistic: 1.584e-30 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/www/html/rcomp/tmp/56izw1257950054.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 
-11.0231  -3.0126   0.6091   3.0098  11.9843 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.30711    0.65684   0.468    0.642    
Residuals    0.85655    0.07641  11.210 4.84e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.042 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.688,	Adjusted R-squared: 0.6825 
F-statistic: 125.7 on 1 and 57 DF,  p-value: 4.838e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6wet81257950054.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7vlsl1257950054.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8tk1k1257950054.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9szaf1257950054.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/10b5v21257950054.tab") 
> 
> system("convert tmp/17qp61257950054.ps tmp/17qp61257950054.png")
> system("convert tmp/2qmhy1257950054.ps tmp/2qmhy1257950054.png")
> system("convert tmp/3xotr1257950054.ps tmp/3xotr1257950054.png")
> system("convert tmp/4uepn1257950054.ps tmp/4uepn1257950054.png")
> system("convert tmp/56izw1257950054.ps tmp/56izw1257950054.png")
> system("convert tmp/6wet81257950054.ps tmp/6wet81257950054.png")
> system("convert tmp/7vlsl1257950054.ps tmp/7vlsl1257950054.png")
> system("convert tmp/8tk1k1257950054.ps tmp/8tk1k1257950054.png")
> system("convert tmp/9szaf1257950054.ps tmp/9szaf1257950054.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.806   1.338   2.354