R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(12,11,14,12,21,12,22,11,10,13,10,8,15,14,10,14,14,11,10,13,7,14,12,14,11,9,11,15,14,13,9,15,10,11,13,8,20,12,10,10,9,14,8,14,11,13,9,11,15,11,10,14,18,14,11,12,13,9,10,15,20,12,12,14,13,11,17,12,13,14,13,15,13,10,11,19,13,17,13,9,11,10,9,12,12,13,13,12,15,22,13,15,13,15,10,11,16,11,11,10,10,16,12,11,16,19,11,16,15,24,14,15,11,15,12,10,14,13,9,15,15,14,11,8,11,11,8,10,11,13,11,20,10,15,12,14,23,14,16,11,12,10,14,12,12,11,12,13,11,19,12,17,9,12,19,18,15,14,11,9,18,16)
> x <- c(38,32,35,33,37,29,31,36,35,38,31,34,35,38,37,33,32,38,38,32,33,31,38,39,32,32,35,37,33,33,28,32,31,37,30,33,31,33,31,33,32,33,32,33,28,35,39,34,38,32,38,30,33,38,32,32,34,34,36,34,28,34,35,35,31,37,35,27,40,37,36,38,39,41,27,30,37,31,31,27,36,38,37,33,34,31,39,34,32,33,36,32,41,28,30,36,35,31,34,36,36,35,37,28,39,32,35,39,35,42,34,33,41,33,34,32,40,40,35,36,37,27,39,38,31,33,32,39,36,33,33,32,37,30,38,29,22,35,35,34,35,34,34,35,23,31,27,36,31,32,39,37,38,39,34,31,32,37,36,32,35,36)
> 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 
-5.9960 -2.1182 -0.6121  1.4751 11.6321 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 15.29925    2.40780   6.354 2.09e-09 ***
x           -0.06979    0.07025  -0.994    0.322    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 3.166 on 160 degrees of freedom
Multiple R-squared: 0.006132,	Adjusted R-squared: -7.974e-05 
F-statistic: 0.9872 on 1 and 160 DF,  p-value: 0.3219 

> postscript(file="/var/www/html/freestat/rcomp/tmp/13op61290700342.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/23op61290700342.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 
-6.718e-15 -4.681e-16  2.206e-17  6.205e-16  1.941e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  1.530e+01  6.420e-16  2.383e+16   <2e-16 ***
x           -6.979e-02  1.873e-17 -3.726e+15   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 8.442e-16 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.389e+31 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3eyor1290700342.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5.9960 -2.1182 -0.6121  1.4751 11.6321 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -6.233e-17  2.408e+00 -2.59e-17        1
x           -2.694e-19  7.025e-02 -3.84e-18        1

Residual standard error: 3.166 on 160 degrees of freedom
Multiple R-squared: 2.949e-34,	Adjusted R-squared: -0.00625 
F-statistic: 4.719e-32 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/477nu1290700342.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.551897 -0.202922  0.006462  0.146052  0.844002 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.292e+01  1.954e-02    661.2   <2e-16 ***
m$residuals 3.434e-17  6.210e-03 5.53e-15        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.2487 on 160 degrees of freedom
Multiple R-squared: 1.543e-28,	Adjusted R-squared: -0.00625 
F-statistic: 2.469e-26 on 1 and 160 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/5zynx1290700342.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 
-5.9989 -2.1050 -0.6726  1.5628 11.5754 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.004505   0.250220   0.018    0.986
Residuals   0.024372   0.079529   0.306    0.760

Residual standard error: 3.175 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0005903,	Adjusted R-squared: -0.005695 
F-statistic: 0.09392 on 1 and 159 DF,  p-value: 0.7597 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6zynx1290700342.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7a8401290700342.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8a8401290700342.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/93z331290700342.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/10hr1c1290700342.tab") 
> 
> try(system("convert tmp/13op61290700342.ps tmp/13op61290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/23op61290700342.ps tmp/23op61290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/3eyor1290700342.ps tmp/3eyor1290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/477nu1290700342.ps tmp/477nu1290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/5zynx1290700342.ps tmp/5zynx1290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/6zynx1290700342.ps tmp/6zynx1290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/7a8401290700342.ps tmp/7a8401290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/8a8401290700342.ps tmp/8a8401290700342.png",intern=TRUE))
character(0)
> try(system("convert tmp/93z331290700342.ps tmp/93z331290700342.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.948   2.160   3.331