R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(79717000,82855667,79346667,76270333,89532667,83541333,82456000,85818333,92106667,96873333,96580000,87769000,88396000,90995667,92785000,98112667,105779667,103660333,105435000,105204000,107466333,118554333,123614333,125620000,121524333,130830333,138871333,135215667,122096333,130005333,126566000,134808667,138761333,133778333,122598667,116446000,100745333,104419333,103477000,102054333,102446667,99528000,106549667,107587333,117091333,114029667,109721333,114697000,115063667,121234667,118393000,121308000,117579000,117414000,117740333,109417000,116442333,113311000,109391333,107198667)
> x <- c(60635408600.00,64463389370.00,66750859382.00,69032584255.95,72841303906.58,72838685607.53,75887977453.76,78936158549.66,81986612544.38,85038924238.38,87328862789.67,85794984680.72,88082838620.17,91885510657.40,96355573323.80,101321342608.80,105791395836.80,113241494103.00,117215849652.80,120940898880.60,125658810316.50,130873880200.80,139583536623.40,148226520849.00,153789461350.00,161871513310.40,171781295610.40,178996585758.20,176620960002.00,186604680395.00,187772917033.20,193109744878.60,197630528464.00,206483683756.40,203906590621.60,206783719069.34,206759082201.76,211878483671.40,214009149959.00,217203709135.40,222331811922.60,232825724880.00,241180274038.70,248494123822.10,253049202253.08,256922518700.16,254451243638.75,262662316800.94,268926171539.67,272037080259.13,281118338865.04,286389613939.39,296190694318.91,307294826961.69,309697986635.60,314369521231.48,317533640477.42,327005697520.69,332458473876.00,339794119726.27)
> 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 
-20436542 -10281479  -2692019   5261680  31430573 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 8.950e+07  4.192e+06  21.349  < 2e-16 ***
x           1.045e-04  2.082e-05   5.018 5.26e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 13550000 on 58 degrees of freedom
Multiple R-squared: 0.3028,	Adjusted R-squared: 0.2907 
F-statistic: 25.18 on 1 and 58 DF,  p-value: 5.256e-06 

> postscript(file="/var/wessaorg/rcomp/tmp/1nwai1320971149.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/wessaorg/rcomp/tmp/230ou1320971149.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 
-8.590e-09 -3.937e-09 -4.664e-10  3.108e-09  1.486e-08 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 8.950e+07  1.457e-09 6.143e+16   <2e-16 ***
x           1.045e-04  7.234e-21 1.444e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.708e-09 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.085e+32 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3q17k1320971149.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-20436542 -10281479  -2692019   5261680  31430573 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -6.040e-10  4.192e+06       0        1
x            3.061e-22  2.082e-05       0        1

Residual standard error: 13550000 on 58 degrees of freedom
Multiple R-squared: 5.123e-34,	Adjusted R-squared: -0.01724 
F-statistic: 2.971e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/465rp1320971149.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-12784233  -8663572    436463   7353341  16378735 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.086e+08  1.152e+06   94.25   <2e-16 ***
m$residuals -1.457e-17  8.652e-02    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 8927000 on 58 degrees of freedom
Multiple R-squared: 8.119e-30,	Adjusted R-squared: -0.01724 
F-statistic: 4.709e-28 on 1 and 58 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/wessaorg/rcomp/tmp/5zpc61320971149.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 
-15208624  -3872966   -491146   4047968  10998822 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -9.506e+02  7.434e+05  -0.001    0.999    
Residuals    9.087e-01  5.619e-02  16.172   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5708000 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8211,	Adjusted R-squared: 0.8179 
F-statistic: 261.5 on 1 and 57 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6tfq61320971149.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/730hr1320971149.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8184p1320971149.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/94f781320971149.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/10gw361320971149.tab") 
> 
> try(system("convert tmp/1nwai1320971149.ps tmp/1nwai1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/230ou1320971149.ps tmp/230ou1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/3q17k1320971149.ps tmp/3q17k1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/465rp1320971149.ps tmp/465rp1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/5zpc61320971149.ps tmp/5zpc61320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/6tfq61320971149.ps tmp/6tfq61320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/730hr1320971149.ps tmp/730hr1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/8184p1320971149.ps tmp/8184p1320971149.png",intern=TRUE))
character(0)
> try(system("convert tmp/94f781320971149.ps tmp/94f781320971149.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.548   0.457   3.020