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(4.2,2.6,3,3.8,4,3.5,4.1)
> x <- c(4.8,-4.2,1.6,5.2,9.2,4.6,10.6)
> 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:
       1        2        3        4        5        6        7 
 0.57200 -0.04785 -0.27950  0.12843 -0.10719 -0.10622 -0.15966 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  3.10525    0.16443  18.885 7.67e-06 ***
x            0.10891    0.02562   4.252  0.00808 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3074 on 5 degrees of freedom
Multiple R-squared: 0.7833,	Adjusted R-squared:  0.74 
F-statistic: 18.08 on 1 and 5 DF,  p-value: 0.00808 

> postscript(file="/var/www/html/rcomp/tmp/1eegj1225744407.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/2h66d1225744407.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 
 5.137e-16 -8.420e-17 -1.137e-16 -3.317e-17 -8.706e-17 -6.807e-17 -1.274e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.105e+00  1.339e-16 2.318e+16   <2e-16 ***
x           1.089e-01  2.087e-17 5.219e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.504e-16 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.724e+31 on 1 and 5 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3xhkg1225744407.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
       1        2        3        4        5        6        7 
 0.57200 -0.04785 -0.27950  0.12843 -0.10719 -0.10622 -0.15966 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.00000    0.16443       0        1
x            0.00000    0.02562       0        1

Residual standard error: 0.3074 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$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4gbv31225744407.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
        1         2         3         4         5         6         7 
 0.028004 -0.952151 -0.320495  0.071567  0.507192  0.006223  0.659660 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 3.600e+00  2.209e-01   16.30 1.59e-05 ***
m$residuals 6.462e-16  8.503e-01 7.6e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5844 on 5 degrees of freedom
Multiple R-squared: 1.732e-30,	Adjusted R-squared:  -0.2 
F-statistic: 8.662e-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/rcomp/tmp/5vwvw1225744407.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 
 0.072243 -0.187552  0.209869 -0.007237 -0.016965 -0.070358 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.09412    0.06144  -1.532    0.200
Residuals   -0.04540    0.22513  -0.202    0.850

Residual standard error: 0.1498 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01006,	Adjusted R-squared: -0.2374 
F-statistic: 0.04066 on 1 and 4 DF,  p-value: 0.85 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6h9gm1225744407.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7pzk41225744407.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/824om1225744407.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9vxuv1225744407.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/10y2nd1225744407.tab") 
> 
> system("convert tmp/1eegj1225744407.ps tmp/1eegj1225744407.png")
> system("convert tmp/2h66d1225744407.ps tmp/2h66d1225744407.png")
> system("convert tmp/3xhkg1225744407.ps tmp/3xhkg1225744407.png")
> system("convert tmp/4gbv31225744407.ps tmp/4gbv31225744407.png")
> system("convert tmp/5vwvw1225744407.ps tmp/5vwvw1225744407.png")
> system("convert tmp/6h9gm1225744407.ps tmp/6h9gm1225744407.png")
> system("convert tmp/7pzk41225744407.ps tmp/7pzk41225744407.png")
> system("convert tmp/824om1225744407.ps tmp/824om1225744407.png")
> system("convert tmp/9vxuv1225744407.ps tmp/9vxuv1225744407.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.954   1.326   3.287