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(16198.9,16554.2,19554.2,15903.8,18003.8,18329.6,16260.7,14851.9,18174.1,18406.6,18466.5,16016.5,17428.5,17167.2,19630.00,17183.6,18344.7,19301.4,18147.5,16192.9,18374.4,20515.2,18957.2,16471.5,18746.8,19009.5,19211.2,20547.7,19325.8,20605.5,20056.9,16141.4,20359.8,19711.6,15638.6,14384.5,13855.6,14308.3,15290.6,14423.8,13779.7,15686.3,14733.8,12522.5,16189.4,16059.1,16007.1,15806.8,15160.00,15692.1,18908.9,16969.9,16997.5,19858.9,17681.2)
> x <- c(16896.2,16698.00,19691.6,15930.7,17444.6,17699.4,15189.8,15672.7,17180.8,17664.9,17862.9,16162.3,17463.6,16772.1,19106.9,16721.3,18161.3,18509.9,17802.7,16409.9,17967.7,20286.6,19537.3,18021.9,20194.3,19049.6,20244.7,21473.3,19673.6,21053.2,20159.5,18203.6,21289.5,20432.3,17180.4,15816.8,15071.8,14521.1,15668.8,14346.9,13881.00,15465.9,14238.2,13557.7,16127.6,16793.9,16014.00,16867.9,16014.6,15878.6,18664.9,17962.5,17332.7,19542.1,17203.6)
> 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 
-1802.6  -533.8    56.1   593.2  1212.3 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 461.71691  876.96205   0.526    0.601    
x             0.96038    0.04989  19.249   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 721 on 53 degrees of freedom
Multiple R-squared: 0.8749,	Adjusted R-squared: 0.8725 
F-statistic: 370.5 on 1 and 53 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/1aaza1291110514.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/2aaza1291110514.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 
-1.154e-11 -5.606e-13  4.825e-14  8.532e-13  4.459e-12 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.617e+02  2.331e-12 1.980e+14   <2e-16 ***
x           9.604e-01  1.326e-16 7.240e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.917e-12 on 53 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.242e+31 on 1 and 53 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3l1zv1291110514.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1802.6  -533.8    56.1   593.2  1212.3 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.985e-13  8.770e+02 -2.26e-16        1
x            1.180e-17  4.989e-02  2.37e-16        1

Residual standard error: 721 on 53 degrees of freedom
Multiple R-squared: 4.606e-33,	Adjusted R-squared: -0.01887 
F-statistic: 2.441e-31 on 1 and 53 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4wagg1291110514.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-3756.1 -1396.8  -130.6  1333.5  3845.9 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.724e+04  2.570e+02    67.06   <2e-16 ***
m$residuals 1.516e-16  3.632e-01 4.17e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1906 on 53 degrees of freedom
Multiple R-squared: 5.566e-30,	Adjusted R-squared: -0.01887 
F-statistic: 2.95e-28 on 1 and 53 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/56jxj1291110514.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 
-1910.9  -345.6   169.3   440.6  1463.3 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)  14.2447    90.4309   0.158  0.87544   
Residuals     0.4009     0.1277   3.139  0.00280 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 664.4 on 52 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.1593,	Adjusted R-squared: 0.1431 
F-statistic: 9.851 on 1 and 52 DF,  p-value: 0.002796 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/66jxj1291110514.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zte41291110514.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8zte41291110514.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9skwp1291110514.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/106utf1291110514.tab") 
> 
> try(system("convert tmp/1aaza1291110514.ps tmp/1aaza1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/2aaza1291110514.ps tmp/2aaza1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/3l1zv1291110514.ps tmp/3l1zv1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/4wagg1291110514.ps tmp/4wagg1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/56jxj1291110514.ps tmp/56jxj1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/66jxj1291110514.ps tmp/66jxj1291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/7zte41291110514.ps tmp/7zte41291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/8zte41291110514.ps tmp/8zte41291110514.png",intern=TRUE))
character(0)
> try(system("convert tmp/9skwp1291110514.ps tmp/9skwp1291110514.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.835   1.412   4.801