R version 2.7.2 (2008-08-25)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(20.8,17.1,22.3,25.1,27.7,24.9,29.5)
> x <- c(20.8,17.1,22.3,25.1,27.7,24.9,29.5)
> par1 = '12'
> #'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:
         1          2          3          4          5          6          7 
-3.987e-16  4.109e-16 -1.576e-16 -2.080e-17 -8.022e-17 -5.561e-17  3.020e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.310e-15  7.069e-16 7.511e+00 0.000662 ***
x           1.000e+00  2.917e-17 3.428e+16  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.013e-16 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.175e+33 on 1 and 5 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1iuvm1225632170.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/freestat/rcomp/tmp/2kalv1225632170.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:
         1          2          3          4          5          6          7 
-3.987e-16  4.109e-16 -1.576e-16 -2.080e-17 -8.022e-17 -5.561e-17  3.020e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.310e-15  7.069e-16 7.511e+00 0.000662 ***
x           1.000e+00  2.917e-17 3.428e+16  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.013e-16 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.175e+33 on 1 and 5 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/30csl1225632170.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
         1          2          3          4          5          6          7 
-3.987e-16  4.109e-16 -1.576e-16 -2.080e-17 -8.022e-17 -5.561e-17  3.020e-16 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -3.759e-31  7.069e-16 -5.32e-16        1
x            1.566e-32  2.917e-17  5.37e-16        1

Residual standard error: 3.013e-16 on 5 degrees of freedom
Multiple R-squared: 7.728e-32,	Adjusted R-squared:  -0.2 
F-statistic: 3.864e-31 on 1 and 5 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4wmls1225632170.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      1       2       3       4       5       6       7 
-3.1143 -6.8143 -1.6143  1.1857  3.7857  0.9857  5.5857 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.391e+01  1.746e+00     13.7 3.72e-05 ***
m$residuals 1.123e+00  6.855e+15 1.64e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.618 on 5 degrees of freedom
Multiple R-squared: 7.101e-31,	Adjusted R-squared:  -0.2 
F-statistic: 3.55e-30 on 1 and 5 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/freestat/rcomp/tmp/5tmkl1225632170.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:
         2          3          4          5          6          7 
 1.279e-16  6.262e-17 -1.539e-16 -1.283e-16 -1.406e-16  2.323e-16 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  3.517e-17  7.639e-17    0.46    0.669
Residuals   -6.215e-01  3.107e-01   -2.00    0.116

Residual standard error: 1.832e-16 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared:   0.5,	Adjusted R-squared: 0.375 
F-statistic:     4 on 1 and 4 DF,  p-value: 0.1161 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6ovmp1225632170.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7ttk61225632170.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8tynj1225632170.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9i0yq1225632171.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/107qdp1225632171.tab") 
> 
> system("convert tmp/1iuvm1225632170.ps tmp/1iuvm1225632170.png")
> system("convert tmp/2kalv1225632170.ps tmp/2kalv1225632170.png")
> system("convert tmp/30csl1225632170.ps tmp/30csl1225632170.png")
> system("convert tmp/4wmls1225632170.ps tmp/4wmls1225632170.png")
> system("convert tmp/5tmkl1225632170.ps tmp/5tmkl1225632170.png")
> system("convert tmp/6ovmp1225632170.ps tmp/6ovmp1225632170.png")
> system("convert tmp/7ttk61225632170.ps tmp/7ttk61225632170.png")
> system("convert tmp/8tynj1225632170.ps tmp/8tynj1225632170.png")
> system("convert tmp/9i0yq1225632171.ps tmp/9i0yq1225632171.png")
> 
> 
> proc.time()
   user  system elapsed 
  3.030   2.094   3.942