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(4.8,-4.2,1.6,5.2,9.2,4.6,10.6)
> 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 
 3.639414 -1.342200 -1.189662 -0.630603  0.545667 -1.013392 -0.009224 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept) -21.4293     4.4746  -4.789  0.00493 **
x             1.0861     0.1847   5.881  0.00202 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.907 on 5 degrees of freedom
Multiple R-squared: 0.8737,	Adjusted R-squared: 0.8484 
F-statistic: 34.59 on 1 and 5 DF,  p-value: 0.002019 

> postscript(file="/var/www/html/rcomp/tmp/1t6121225632333.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/2g73s1225632333.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 
 1.023e-15 -9.119e-16  5.580e-16 -4.583e-16 -2.679e-16  1.932e-16 -1.361e-16 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -2.143e+01  1.668e-15 -1.285e+16   <2e-16 ***
x            1.086e+00  6.884e-17  1.578e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.109e-16 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.489e+32 on 1 and 5 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3wpre1225632333.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
        1         2         3         4         5         6         7 
 3.639414 -1.342200 -1.189662 -0.630603  0.545667 -1.013392 -0.009224 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)   0.0000     4.4746       0        1
x             0.0000     0.1847       0        1

Residual standard error: 1.907 on 5 degrees of freedom
Multiple R-squared:     0,	Adjusted R-squared:  -0.2 
F-statistic:     0 on 1 and 5 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4vhwj1225632333.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     1      2      3      4      5      6      7 
-3.382 -7.401 -1.753  1.288  4.111  1.071  6.066 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)  
(Intercept)  4.543e+00  1.896e+00     2.396   0.0619 .
m$residuals -2.083e-16  1.176e+00 -1.77e-16   1.0000  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.016 on 5 degrees of freedom
Multiple R-squared: 3.763e-32,	Adjusted R-squared:  -0.2 
F-statistic: 1.881e-31 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/rcomp/tmp/5l8mx1225632333.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 
-0.05145 -0.83581 -0.24806  1.03335 -0.30449  0.40647 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  -0.6063     0.2950  -2.055    0.109
Residuals    -0.1881     0.1694  -1.110    0.329

Residual standard error: 0.7226 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.2355,	Adjusted R-squared: 0.04432 
F-statistic: 1.232 on 1 and 4 DF,  p-value: 0.3293 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/673b31225632333.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/73j8f1225632333.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8igbh1225632333.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9c9j31225632334.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/10jixe1225632334.tab") 
> 
> system("convert tmp/1t6121225632333.ps tmp/1t6121225632333.png")
> system("convert tmp/2g73s1225632333.ps tmp/2g73s1225632333.png")
> system("convert tmp/3wpre1225632333.ps tmp/3wpre1225632333.png")
> system("convert tmp/4vhwj1225632333.ps tmp/4vhwj1225632333.png")
> system("convert tmp/5l8mx1225632333.ps tmp/5l8mx1225632333.png")
> system("convert tmp/673b31225632333.ps tmp/673b31225632333.png")
> system("convert tmp/73j8f1225632333.ps tmp/73j8f1225632333.png")
> system("convert tmp/8igbh1225632333.ps tmp/8igbh1225632333.png")
> system("convert tmp/9c9j31225632334.ps tmp/9c9j31225632334.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.002   1.306   2.613