R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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(14731798.37,16471559.62,15213975.95,17637387.4,17972385.83,16896235.55,16697955.94,19691579.52,15930700.75,17444615.98,17699369.88,15189796.81,15672722.75,17180794.3,17664893.45,17862884.98,16162288.88,17463628.82,16772112.17,19106861.48,16721314.25,18161267.85,18509941.2,17802737.97,16409869.75,17967742.04,20286602.27,19537280.81,18021889.62,20194317.23,19049596.62,20244720.94,21473302.24,19673603.19,21053177.29,20159479.84,18203628.31,21289464.94,20432335.71,17180395.07,15816786.32,15071819.75,14521120.61,15668789.39,14346884.11,13881008.13,15465943.69,14238232.92,13557713.21,16127590.29,16793894.2,16014007.43,16867867.15,16014583.21,15878594.85,18664899.14,17962530.06,17332692.2,19542066.35,17203555.19)
> x <- c(13768040.14,17487530.67,16198106.13,17535166.38,16571771.60,16198892.67,16554237.93,19554176.37,15903762.33,18003781.65,18329610.38,16260733.42,14851949.20,18174068.44,18406552.23,18466459.42,16016524.60,17428458.32,17167191.42,19629987.60,17183629.01,18344657.85,19301440.71,18147463.68,16192909.22,18374420.60,20515191.95,18957217.20,16471529.53,18746813.27,19009453.59,19211178.55,20547653.75,19325754.03,20605542.58,20056915.06,16141449.72,20359793.22,19711553.27,15638580.70,14384486.00,13855616.12,14308336.46,15290621.44,14423755.53,13779681.49,15686348.94,14733828.17,12522497.94,16189383.57,16059123.25,16007123.26,15806842.33,15159951.13,15692144.17,18908869.11,16969881.42,16997477.78,19858875.65,17681170.13)
> 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 
-1375030  -521914  -131644   467584  1746814 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.841e+06  8.229e+05   2.237   0.0292 *  
x           9.055e-01  4.764e-02  19.008   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 728000 on 58 degrees of freedom
Multiple R-squared: 0.8617,	Adjusted R-squared: 0.8593 
F-statistic: 361.3 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/1ii5b1291139028.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/rcomp/tmp/2ii5b1291139028.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 
-2.010e-08 -3.278e-10  4.761e-10  1.152e-09  2.577e-09 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.841e+06  3.257e-09 5.651e+14   <2e-16 ***
x           9.055e-01  1.886e-16 4.802e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.881e-09 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.306e+31 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/33j691291139029.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1375030  -521914  -131644   467584  1746814 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  5.831e-10  8.229e+05  7.09e-16        1
x           -3.047e-17  4.764e-02 -6.40e-16        1

Residual standard error: 728000 on 58 degrees of freedom
Multiple R-squared: 3.322e-32,	Adjusted R-squared: -0.01724 
F-statistic: 1.927e-30 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4eboc1291139029.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-4200269 -1160466   -71325  1472551  3118950 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.738e+07  2.346e+05      74.1   <2e-16 ***
m$residuals -6.090e-16  3.277e-01 -1.86e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1817000 on 58 degrees of freedom
Multiple R-squared: 3.552e-30,	Adjusted R-squared: -0.01724 
F-statistic: 2.06e-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/www/html/rcomp/tmp/5ok5x1291139029.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 
-1403829  -431610  -146838   386541  1680778 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.268e+04  8.262e+04  -0.154    0.879    
Residuals    5.008e-01  1.153e-01   4.344 5.81e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 634600 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.2488,	Adjusted R-squared: 0.2356 
F-statistic: 18.87 on 1 and 57 DF,  p-value: 5.807e-05 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6ok5x1291139029.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zb4i1291139029.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8zb4i1291139029.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/99lm31291139029.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/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/10ou1c1291139029.tab") 
> 
> try(system("convert tmp/1ii5b1291139028.ps tmp/1ii5b1291139028.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ii5b1291139028.ps tmp/2ii5b1291139028.png",intern=TRUE))
character(0)
> try(system("convert tmp/33j691291139029.ps tmp/33j691291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/4eboc1291139029.ps tmp/4eboc1291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ok5x1291139029.ps tmp/5ok5x1291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/6ok5x1291139029.ps tmp/6ok5x1291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/7zb4i1291139029.ps tmp/7zb4i1291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/8zb4i1291139029.ps tmp/8zb4i1291139029.png",intern=TRUE))
character(0)
> try(system("convert tmp/99lm31291139029.ps tmp/99lm31291139029.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.860   1.397   4.232