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(0.9,0.85,0.83,0.84,0.85,0.83,0.83)
> 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 
 0.0529592 -0.0006128 -0.0183108 -0.0068820  0.0047055 -0.0171202 -0.0147388 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.8489459  0.0145925  58.177 2.84e-08 ***
x           -0.0003969  0.0022733  -0.175    0.868    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.02728 on 5 degrees of freedom
Multiple R-squared: 0.006059,	Adjusted R-squared: -0.1927 
F-statistic: 0.03048 on 1 and 5 DF,  p-value: 0.8683 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1e2n71225745711.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/2cpv61225745711.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 
-2.990e-16  4.569e-17  8.574e-17 -1.221e-17  7.593e-17  4.095e-17  6.287e-17 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  8.489e-01  7.948e-17  1.068e+16   <2e-16 ***
x           -3.969e-04  1.238e-17 -3.205e+13   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.486e-16 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.027e+27 on 1 and 5 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3csks1225745711.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
         1          2          3          4          5          6          7 
 0.0529592 -0.0006128 -0.0183108 -0.0068820  0.0047055 -0.0171202 -0.0147388 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -4.251e-18  1.459e-02 -2.91e-16        1
x            2.514e-19  2.273e-03  1.11e-16        1

Residual standard error: 0.02728 on 5 degrees of freedom
Multiple R-squared: 4.622e-33,	Adjusted R-squared:  -0.2 
F-statistic: 2.311e-32 on 1 and 5 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4vw501225745711.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
         1          2          3          4          5          6          7 
-1.021e-04  3.470e-03  1.168e-03 -2.608e-04 -1.848e-03 -2.268e-05 -2.404e-03 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  8.471e-01  8.050e-04      1052 1.47e-14 ***
m$residuals -5.008e-15  3.492e-02 -1.43e-13        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.00213 on 5 degrees of freedom
Multiple R-squared: 2.717e-27,	Adjusted R-squared:  -0.2 
F-statistic: 1.359e-26 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/5lgpp1225745711.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 
 0.002762 -0.009153  0.004187  0.014540 -0.008536 -0.003799 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.009092   0.004143  -2.195   0.0932 .
Residuals    0.107959   0.171456   0.630   0.5631  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.0101 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.09018,	Adjusted R-squared: -0.1373 
F-statistic: 0.3965 on 1 and 4 DF,  p-value: 0.5631 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6765b1225745711.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7mdvd1225745711.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8mqeu1225745711.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/957cx1225745711.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/10y29b1225745711.tab") 
> 
> system("convert tmp/1e2n71225745711.ps tmp/1e2n71225745711.png")
> system("convert tmp/2cpv61225745711.ps tmp/2cpv61225745711.png")
> system("convert tmp/3csks1225745711.ps tmp/3csks1225745711.png")
> system("convert tmp/4vw501225745711.ps tmp/4vw501225745711.png")
> system("convert tmp/5lgpp1225745711.ps tmp/5lgpp1225745711.png")
> system("convert tmp/6765b1225745711.ps tmp/6765b1225745711.png")
> system("convert tmp/7mdvd1225745711.ps tmp/7mdvd1225745711.png")
> system("convert tmp/8mqeu1225745711.ps tmp/8mqeu1225745711.png")
> system("convert tmp/957cx1225745711.ps tmp/957cx1225745711.png")
> 
> 
> proc.time()
   user  system elapsed 
  3.037   2.073   3.637