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(2.81,2.77,2.61,2.53,2.55,2.18,2.08,2.06,2.07,2.05,2.02,2.01,2.01,2,2,2,2,2,2.01,2.01,2.02,2.02,2.04,2.06,2.06,2.05,2.05,2.05,2.05,2.05,2.05,2.05,2.06,2.06,2.06,2.27,2.3,2.31,2.52,2.58,2.58,2.72,2.8,2.98,3.03,3.22,3.31,3.47,3.56,3.55,3.72,3.82,3.82,3.97,4.05,4.07,4.17,4.13,4.15,4.19,4.18)
> x <- c(1.2,1.6,1.7,1.5,0.9,1.5,1.4,1.6,1.7,1.4,1.8,1.7,1.4,1.2,1,1.7,2.4,2,2.1,2,1.8,2.7,2.3,1.9,2,2.3,2.8,2.4,2.3,2.7,2.7,2.9,3,2.2,2.3,2.8,2.8,2.8,2.2,2.6,2.8,2.5,2.4,2.3,1.9,1.7,2,2.1,1.7,1.8,1.8,1.8,1.3,1.3,1.3,1.2,1.4,2.2,2.9,3.1,3.5)
> 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 
-0.7369 -0.6061 -0.3252  0.5382  1.6399 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  2.81564    0.36137   7.792 1.23e-10 ***
x           -0.07871    0.17043  -0.462    0.646    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.7803 on 59 degrees of freedom
Multiple R-squared: 0.003602,	Adjusted R-squared: -0.01329 
F-statistic: 0.2133 on 1 and 59 DF,  p-value: 0.6459 

> postscript(file="/var/www/html/rcomp/tmp/1sjrb1258053008.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/2gljp1258053008.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 
-1.011e-14  5.625e-18  2.546e-16  2.812e-16  7.445e-16 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  2.816e+00  6.292e-16  4.475e+15   <2e-16 ***
x           -7.871e-02  2.968e-16 -2.652e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.359e-15 on 59 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.036e+28 on 1 and 59 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3hf9e1258053008.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.7369 -0.6061 -0.3252  0.5382  1.6399 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  6.091e-18  3.614e-01  1.69e-17        1
x           -9.093e-18  1.704e-01 -5.34e-17        1

Residual standard error: 0.7803 on 59 degrees of freedom
Multiple R-squared: 1.026e-33,	Adjusted R-squared: -0.01695 
F-statistic: 6.051e-32 on 1 and 59 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4woaw1258053008.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.115100 -0.028517  0.002968  0.034453  0.089551 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.655e+00  6.007e-03      442   <2e-16 ***
m$residuals 8.104e-18  7.828e-03 1.04e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.04692 on 59 degrees of freedom
Multiple R-squared: 3.416e-28,	Adjusted R-squared: -0.01695 
F-statistic: 2.016e-26 on 1 and 59 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/5g7k81258053008.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 
-0.342878 -0.030697 -0.004738  0.038462  0.242280 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.02679    0.01086   2.468   0.0166 *  
Residuals    1.03431    0.01459  70.914   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.08403 on 58 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9886,	Adjusted R-squared: 0.9884 
F-statistic:  5029 on 1 and 58 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6zbma1258053008.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7lp3a1258053008.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8b5u21258053008.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/91j2q1258053008.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/10odh51258053008.tab") 
> 
> system("convert tmp/1sjrb1258053008.ps tmp/1sjrb1258053008.png")
> system("convert tmp/2gljp1258053008.ps tmp/2gljp1258053008.png")
> system("convert tmp/3hf9e1258053008.ps tmp/3hf9e1258053008.png")
> system("convert tmp/4woaw1258053008.ps tmp/4woaw1258053008.png")
> system("convert tmp/5g7k81258053008.ps tmp/5g7k81258053008.png")
> system("convert tmp/6zbma1258053008.ps tmp/6zbma1258053008.png")
> system("convert tmp/7lp3a1258053008.ps tmp/7lp3a1258053008.png")
> system("convert tmp/8b5u21258053008.ps tmp/8b5u21258053008.png")
> system("convert tmp/91j2q1258053008.ps tmp/91j2q1258053008.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.811   1.388   2.638