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(563668,586111,604378,600991,544686,537034,551531,563250,574761,580112,575093,557560,564478,580523,596594,586570,536214,523597,536535,536322,532638,528222,516141,501866,506174,517945,533590,528379,477580,469357,490243,492622,507561,516922,514258,509846,527070,541657,564591,555362,498662,511038,525919,531673,548854,560576,557274,565742,587625,619916)
> x <- 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)
> 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 
-25178 -14113  -8854  16924  31274 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 7.618e+04  4.216e+04   1.807    0.077 .  
x           1.692e+00  1.525e-01  11.090  7.7e-15 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 18400 on 48 degrees of freedom
Multiple R-squared: 0.7193,	Adjusted R-squared: 0.7134 
F-statistic:   123 on 1 and 48 DF,  p-value: 7.7e-15 

> postscript(file="/var/www/html/rcomp/tmp/1vow81290624103.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/2vow81290624103.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 
-6.507e-11 -2.028e-11 -8.219e-13  1.903e-11  1.676e-10 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 7.618e+04  8.733e-11 8.723e+14   <2e-16 ***
x           1.692e+00  3.160e-16 5.353e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.811e-11 on 48 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.866e+31 on 1 and 48 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3oxdb1290624103.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-25178 -14113  -8854  16924  31274 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.355e-11  4.216e+04 -3.21e-16        1
x            6.033e-17  1.525e-01  3.95e-16        1

Residual standard error: 18400 on 48 degrees of freedom
Multiple R-squared: 5.346e-32,	Adjusted R-squared: -0.02083 
F-statistic: 2.566e-30 on 1 and 48 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4z7ve1290624103.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-54170 -20946  -6740  19186  87613 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 5.428e+05  4.165e+03    130.3   <2e-16 ***
m$residuals 5.708e-17  2.310e-01 2.47e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 29450 on 48 degrees of freedom
Multiple R-squared:     0,	Adjusted R-squared: -0.02083 
F-statistic:     0 on 1 and 48 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/59guh1290624103.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 
-8406.1 -2863.4   122.1  2536.3  9432.4 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -612.24387  541.32978  -1.131    0.264    
Residuals      0.96967    0.02983  32.508   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3789 on 47 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9574,	Adjusted R-squared: 0.9565 
F-statistic:  1057 on 1 and 47 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/62ptk1290624103.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/72ptk1290624103.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/82ptk1290624103.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9dgs51290624103.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/10rqqw1290624103.tab") 
> 
> try(system("convert tmp/1vow81290624103.ps tmp/1vow81290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/2vow81290624103.ps tmp/2vow81290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/3oxdb1290624103.ps tmp/3oxdb1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/4z7ve1290624103.ps tmp/4z7ve1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/59guh1290624103.ps tmp/59guh1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/62ptk1290624103.ps tmp/62ptk1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/72ptk1290624103.ps tmp/72ptk1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/82ptk1290624103.ps tmp/82ptk1290624103.png",intern=TRUE))
character(0)
> try(system("convert tmp/9dgs51290624103.ps tmp/9dgs51290624103.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.985   1.461   5.026