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(68,48,44,67,46,54,61,52,46,55,52,76,49,30,75,51,50,38,47,52,66,66,33,48,57,64,58,59,42,39,59,37,49,80,62,44,53,58,69,63,36,38,46,56,37,51,44,58,37,65,48,53,51,39,64,47,47,64,59,54,55,72,58,59,36,62,63,50,70,59,73,62,41,56,52,54,73,40,41,54,42,70,51,60,49,52)
> x <- 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)
> 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 
-25.9065  -7.4314  -0.6127   6.8335  24.4660 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  45.1038     7.4953   6.018 4.47e-08 ***
x             0.3725     0.3221   1.156    0.251    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 11 on 84 degrees of freedom
Multiple R-squared: 0.01567,	Adjusted R-squared: 0.003954 
F-statistic: 1.337 on 1 and 84 DF,  p-value: 0.2508 

> postscript(file="/var/www/html/rcomp/tmp/1dosa1289812799.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/2dosa1289812799.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 
-1.856e-14 -1.148e-14 -7.982e-15 -4.531e-15  6.689e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.510e+01  5.014e-14 8.996e+14   <2e-16 ***
x           3.725e-01  2.155e-15 1.729e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.358e-14 on 84 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.989e+28 on 1 and 84 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3of9d1289812799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-25.9065  -7.4314  -0.6127   6.8335  24.4660 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.942e-15  7.495e+00 -3.93e-16        1
x            7.803e-17  3.221e-01  2.42e-16        1

Residual standard error: 11 on 84 degrees of freedom
Multiple R-squared: 6.602e-33,	Adjusted R-squared: -0.0119 
F-statistic: 5.546e-31 on 1 and 84 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4yp8g1289812799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-4.088912 -0.736351  0.008663  0.753677  2.616210 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 5.366e+01  1.497e-01   358.6   <2e-16 ***
m$residuals 9.085e-16  1.377e-02 6.6e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.388 on 84 degrees of freedom
Multiple R-squared: 1.569e-27,	Adjusted R-squared: -0.0119 
F-statistic: 1.318e-25 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/59yqj1289812799.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 
-26.2076  -8.2945  -0.5328   7.4247  24.1284 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.15745    1.18321  -0.133    0.894
Residuals   -0.09816    0.10824  -0.907    0.367

Residual standard error: 10.91 on 83 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.009811,	Adjusted R-squared: -0.002119 
F-statistic: 0.8224 on 1 and 83 DF,  p-value: 0.3671 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/69yqj1289812799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7kp741289812799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8kp741289812799.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9kp741289812799.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/1088my1289812799.tab") 
> 
> try(system("convert tmp/1dosa1289812799.ps tmp/1dosa1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/2dosa1289812799.ps tmp/2dosa1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/3of9d1289812799.ps tmp/3of9d1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/4yp8g1289812799.ps tmp/4yp8g1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/59yqj1289812799.ps tmp/59yqj1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/69yqj1289812799.ps tmp/69yqj1289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/7kp741289812799.ps tmp/7kp741289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/8kp741289812799.ps tmp/8kp741289812799.png",intern=TRUE))
character(0)
> try(system("convert tmp/9kp741289812799.ps tmp/9kp741289812799.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.879   1.436   3.127