R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(990633,1047696,835567,867169,1161937,846354,852288,1033321,865605,1447252,187910,631074,630867,774318,637859,764244,591077,6990528,693887,807691,802010,1303548,162242,683606,957467,945691,904843,908178,1107174,1049559,960388,1086083,1162190,1568232,201733,871654,963424,930097,940654,883223,1197679,955581,886167,1180383,954937,1589668,291111,800423,873241,906223,768775,833106,1113844,940493,837936,1165387,909788,1584838)
> x <- c(43071,45552,36329,37703,50519,36798,37056,44927,37635,62924,8170,27438,27429,33666,27733,33228,25699,303936,30169,35117,34870,56676,7054,29722,41629,41117,39341,39486,48138,45633,41756,47221,50530,68184,8771,37898,41888,40439,40898,38401,52073,41547,38529,51321,41519,69116,12657,34801,37967,39401,33425,36222,48428,40891,36432,50669,39556,68906)
> 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 
-7.846e-10  5.067e-12  1.484e-11  3.025e-11  1.001e-10 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -8.407e-11  2.628e-11 -3.199e+00  0.00227 ** 
x            2.300e+01  4.584e-16  5.018e+16  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.279e-10 on 56 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.518e+33 on 1 and 56 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/rcomp/tmp/1hwf71289917986.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/rcomp/tmp/2hwf71289917986.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 
-6.194e-11 -1.961e-11 -7.178e-12  2.886e-12  3.733e-10 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.822e-11  1.160e-11 3.295e+00  0.00171 ** 
x           2.300e+01  2.023e-16 1.137e+17  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.644e-11 on 56 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.293e+34 on 1 and 56 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3a6ws1289917986.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
       Min         1Q     Median         3Q        Max 
-7.846e-10  5.067e-12  1.484e-11  3.025e-11  1.001e-10 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.144e-26  2.628e-11 -4.35e-16        1
x            4.283e-31  4.584e-16  9.34e-16        1

Residual standard error: 1.279e-10 on 56 degrees of freedom
Multiple R-squared: 2.517e-32,	Adjusted R-squared: -0.01786 
F-statistic: 1.409e-30 on 1 and 56 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/43fvu1289917986.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-852221 -211033 -107262   34630 5976065 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.014e+06  1.126e+05     9.008 1.75e-12 ***
m$residuals -2.909e-01  8.960e+14 -3.25e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 857600 on 56 degrees of freedom
Multiple R-squared: 1.155e-31,	Adjusted R-squared: -0.01786 
F-statistic: 6.467e-30 on 1 and 56 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/rcomp/tmp/5w6cx1289917986.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 
-5.759e-10 -1.321e-11 -1.446e-12  1.498e-11  3.571e-10 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 8.861e-12  1.254e-11   0.706    0.483    
Residuals   4.503e-01  9.907e-02   4.545 3.06e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 9.47e-11 on 55 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.273,	Adjusted R-squared: 0.2598 
F-statistic: 20.66 on 1 and 55 DF,  p-value: 3.056e-05 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/66fci1289917986.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/76fci1289917986.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/86fci1289917986.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9z7tl1289917986.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/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/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/rcomp/tmp/10dyru1289917986.tab") 
> 
> try(system("convert tmp/1hwf71289917986.ps tmp/1hwf71289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/2hwf71289917986.ps tmp/2hwf71289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/3a6ws1289917986.ps tmp/3a6ws1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/43fvu1289917986.ps tmp/43fvu1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/5w6cx1289917986.ps tmp/5w6cx1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/66fci1289917986.ps tmp/66fci1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/76fci1289917986.ps tmp/76fci1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/86fci1289917986.ps tmp/86fci1289917986.png",intern=TRUE))
character(0)
> try(system("convert tmp/9z7tl1289917986.ps tmp/9z7tl1289917986.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.870   1.770   4.645