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(25,23,17,19,29,23,23,21,26,24,25,26,23,29,24,20,23,29,24,22,22,22,17,24,21,24,23,21,24,24,19,26,24,28,22,23,24,23,23,30,20,23,21,27,12,15,22,27,21,21,21,21,18,24,24,28,25,14,30,19,29,25,25,25,16,25,28,24,24,22,20,27,21,26,26,25,13,22,23,25,15,25,21,23,25,24)
> x <- c(4,8,8,4,4,8,5,4,4,4,4,4,8,4,4,4,8,4,3,4,4,4,4,4,4,4,4,15,10,4,8,4,4,4,4,7,4,6,5,4,16,5,12,6,9,9,4,5,4,4,5,4,4,4,5,4,6,4,4,18,4,6,4,4,5,4,4,5,5,5,4,4,5,4,4,8,4,14,8,8,4,4,6,4,7,3)
> 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 
-10.4981  -1.4981   0.5019   2.1812   6.5019 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  24.8568     0.8442  29.445   <2e-16 ***
x            -0.3397     0.1355  -2.507   0.0141 *  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.594 on 84 degrees of freedom
Multiple R-squared: 0.06961,	Adjusted R-squared: 0.05853 
F-statistic: 6.285 on 1 and 84 DF,  p-value: 0.01411 

> postscript(file="/var/www/html/rcomp/tmp/18iic1289814313.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/21aix1289814313.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 
-5.840e-15 -5.183e-15 -2.313e-15 -1.631e-15  2.186e-13 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  2.486e+01  5.660e-15  4.391e+15   <2e-16 ***
x           -3.397e-01  9.085e-16 -3.739e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.41e-14 on 84 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.398e+29 on 1 and 84 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3b1h01289814313.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-10.4981  -1.4981   0.5019   2.1812   6.5019 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.162e-17  8.442e-01 -2.56e-17        1
x            1.256e-17  1.355e-01  9.27e-17        1

Residual standard error: 3.594 on 84 degrees of freedom
Multiple R-squared: 9.63e-34,	Adjusted R-squared: -0.0119 
F-statistic: 8.089e-32 on 1 and 84 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4b1h01289814313.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.2342 -0.1580  0.5214  0.5214  0.8611 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.298e+01  1.060e-01    216.8   <2e-16 ***
m$residuals 1.989e-16  2.984e-02 6.66e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.983 on 84 degrees of freedom
Multiple R-squared: 7.37e-28,	Adjusted R-squared: -0.0119 
F-statistic: 6.191e-26 on 1 and 84 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/54syl1289814313.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 
-10.2391  -1.6743   0.7307   2.3091   6.5064 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01783    0.39031  -0.046    0.964
Residuals   -0.08432    0.10926  -0.772    0.442

Residual standard error: 3.599 on 83 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.007125,	Adjusted R-squared: -0.004837 
F-statistic: 0.5956 on 1 and 83 DF,  p-value: 0.4424 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6xjx61289814313.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7xjx61289814313.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/87be91289814313.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/97be91289814313.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/103kci1289814313.tab") 
> 
> try(system("convert tmp/18iic1289814313.ps tmp/18iic1289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/21aix1289814313.ps tmp/21aix1289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/3b1h01289814313.ps tmp/3b1h01289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/4b1h01289814313.ps tmp/4b1h01289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/54syl1289814313.ps tmp/54syl1289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/6xjx61289814313.ps tmp/6xjx61289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/7xjx61289814313.ps tmp/7xjx61289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/87be91289814313.ps tmp/87be91289814313.png",intern=TRUE))
character(0)
> try(system("convert tmp/97be91289814313.ps tmp/97be91289814313.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.804   1.345   3.603