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(276444,289742,303725,298305,266795,259497,266148,271037,276239,279681,277509,271115,275902,287224,300713,293860,264221,256167,262572,263276,264291,263903,260376,255603,261076,270976,285257,280445,250741,243803,253158,255542,262522,268381,267153,266424,276427,286994,303598,296806,263290,264981,272566,276475,284678,291542,291413,295916,309119,327616,335083,329765,301631,298423,298989,302963,309664,313218,314485,313927,323931)
> x <- c(868,1022,438,594,946,797,775,978,793,813,782,892,841,991,394,536,906,734,789,1006,785,775,858,710,828,922,535,729,754,641,723,716,615,679,629,659,875,784,348,392,686,631,674,724,658,628,653,651,739,703,331,386,732,729,596,684,707,739,678,608,681)
> 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 
-43477.0 -13759.1   -387.4   9230.7  44462.1 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 329938.56   11573.26  28.509  < 2e-16 ***
x              -66.55      15.87  -4.194 9.32e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 19290 on 59 degrees of freedom
Multiple R-squared: 0.2297,	Adjusted R-squared: 0.2166 
F-statistic: 17.59 on 1 and 59 DF,  p-value: 9.318e-05 

> postscript(file="/var/www/html/rcomp/tmp/1glxj1290813101.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/28cem1290813101.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 
-6.020e-11 -2.909e-11 -1.643e-11  5.007e-12  8.461e-10 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  3.299e+05  6.802e-11  4.851e+15   <2e-16 ***
x           -6.655e+01  9.325e-14 -7.136e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.134e-10 on 59 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.093e+29 on 1 and 59 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/38cem1290813101.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-43477.0 -13759.1   -387.4   9230.7  44462.1 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.318e-12  1.157e+04 -1.14e-16        1
x            2.993e-15  1.587e+01  1.89e-16        1

Residual standard error: 19290 on 59 degrees of freedom
Multiple R-squared: 1.394e-32,	Adjusted R-squared: -0.01695 
F-statistic: 8.226e-31 on 1 and 59 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4w0oj1290813101.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-20589.0  -5349.1   -690.6   4766.5  25397.0 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.825e+05  1.348e+03    209.5   <2e-16 ***
m$residuals 1.719e-16  7.109e-02 2.42e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 10530 on 59 degrees of freedom
Multiple R-squared: 5.177e-29,	Adjusted R-squared: -0.01695 
F-statistic: 3.054e-27 on 1 and 59 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/579n41290813101.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 
-28683  -6299   1293   5854  23858 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 4.650e+02  1.544e+03   0.301    0.764    
Residuals   8.183e-01  8.372e-02   9.775 7.17e-14 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 11950 on 58 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.6223,	Adjusted R-squared: 0.6157 
F-statistic: 95.54 on 1 and 58 DF,  p-value: 7.174e-14 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6zj4o1290813101.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zj4o1290813101.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8sa491290813101.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9sa491290813101.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/1062201290813101.tab") 
> 
> try(system("convert tmp/1glxj1290813101.ps tmp/1glxj1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/28cem1290813101.ps tmp/28cem1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/38cem1290813101.ps tmp/38cem1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/4w0oj1290813101.ps tmp/4w0oj1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/579n41290813101.ps tmp/579n41290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/6zj4o1290813101.ps tmp/6zj4o1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/7zj4o1290813101.ps tmp/7zj4o1290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/8sa491290813101.ps tmp/8sa491290813101.png",intern=TRUE))
character(0)
> try(system("convert tmp/9sa491290813101.ps tmp/9sa491290813101.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.842   1.382   4.422