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(6282154,4321023,4111912,223193,1491348,1629616,1398893,1926517,983660,1443586,1073089,984885,1405225,227132,929118,1071292,638830,856956,992426,444477,857217,711969,702380,358589,297978,585715,657954,209458,786690,439798,688779,574339,741409,597793,644190,377934,640273,697458,550608,207393,301607,345783,501749,379983,387475,377305,370837,430866,469107,194493,530670,518365,491303,527021,233773,405972,652925,446211,341340,387699,493408,146494,414462,364304,355178,357760,261216,397144,374943,424898,202055,378525,310768,325738,394510,247060,368078,236761,312378,339836,347385,426280,352850,301881,377516,357312,458343,354228,308636,386212,393343,378509,452469,364839,358649,376641,429112,330546,403560,317892)
> x <- c(807,444,412,428,315,168,263,267,228,129,104,122,393,190,280,63,102,265,234,277,73,67,103,290,83,56,236,73,34,139,26,70,40,42,12,211,74,80,83,131,203,56,89,88,39,25,49,149,58,41,90,136,97,63,114,77,6,47,51,85,43,32,25,77,54,251,15,44,73,85,49,38,35,9,34,20,29,11,52,13,29,66,33,15,15,68,100,13,45,14,36,40,68,29,43,30,9,22,19,9)
> 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 
-2111858  -147654    59687   172420  1974126 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   106994      71885   1.488    0.140    
x               5206        443  11.752   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 541600 on 98 degrees of freedom
Multiple R-squared: 0.5849,	Adjusted R-squared: 0.5807 
F-statistic: 138.1 on 1 and 98 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1uevn1291154253.ps",horizontal=F,onefile=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/2m5uq1291154253.ps",horizontal=F,onefile=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 
-3.213e-10 -2.752e-11  3.749e-12  4.063e-11  5.592e-10 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.070e+05  1.277e-11 8.378e+15   <2e-16 ***
x           5.206e+03  7.870e-14 6.615e+16   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 9.623e-11 on 98 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.376e+33 on 1 and 98 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3m5uq1291154253.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2111858  -147654    59687   172420  1974126 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.310e-11  7.188e+04 -1.82e-16        1
x            2.940e-13  4.430e+02  6.64e-16        1

Residual standard error: 541600 on 98 degrees of freedom
Multiple R-squared: 1.454e-32,	Adjusted R-squared: -0.0102 
F-statistic: 1.425e-30 on 1 and 98 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4xxbt1291154253.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-524166 -378405 -209219   88810 3645633 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 6.624e+05  6.430e+04    10.30   <2e-16 ***
m$residuals 9.583e-18  1.199e-01 7.99e-17        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 643000 on 98 degrees of freedom
Multiple R-squared: 3.512e-32,	Adjusted R-squared: -0.0102 
F-statistic: 3.442e-30 on 1 and 98 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/58otw1291154253.ps",horizontal=F,onefile=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 
-2402406  -125926    48157   194173  1593125 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)  
(Intercept) -1.966e+04  5.001e+04  -0.393   0.6950  
Residuals    1.668e-01  9.284e-02   1.796   0.0756 .
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 497600 on 97 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.03219,	Adjusted R-squared: 0.02222 
F-statistic: 3.227 on 1 and 97 DF,  p-value: 0.07557 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/61fah1291154253.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/71fah1291154253.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8bork1291154253.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9bork1291154253.ps",horizontal=F,onefile=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/10py7s1291154253.tab") 
> 
> try(system("convert tmp/1uevn1291154253.ps tmp/1uevn1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/2m5uq1291154253.ps tmp/2m5uq1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/3m5uq1291154253.ps tmp/3m5uq1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/4xxbt1291154253.ps tmp/4xxbt1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/58otw1291154253.ps tmp/58otw1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/61fah1291154253.ps tmp/61fah1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/71fah1291154253.ps tmp/71fah1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/8bork1291154253.ps tmp/8bork1291154253.png",intern=TRUE))
character(0)
> try(system("convert tmp/9bork1291154253.ps tmp/9bork1291154253.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.933   2.142   3.322