R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(180144,173666,165688,161570,156145,153730,182698,200765,176512,166618,158644,159585,163095,159044,155511,153745,150569,150605,179612,194690,189917,184128,175335,179566,181140,177876,175041,169292,166070,166972,206348,215706,202108,195411,193111,195198,198770,194163,190420,189733,186029,191531,232571,243477,227247,217859,208679,213188,216234,213586,209465,204045,200237,203666,241476,260307,243324,244460,233575,237217,235243,230354,227184,221678,217142,219452,256446,265845,248624,241114,229245,231805,219277,219313,212610,214771,211142,211457,240048,240636,230580,208795,197922,194596)
> x <- c(11554.5,13182.1,14800.1,12150.7,14478.2,13253.9,12036.8,12653.2,14035.4,14571.4,15400.9,14283.2,14485.3,14196.3,15559.1,13767.4,14634,14381.1,12509.9,12122.3,13122.3,13908.7,13456.5,12441.6,12953,13057.2,14350.1,13830.2,13755.5,13574.4,12802.6,11737.3,13850.2,15081.8,13653.3,14019.1,13962,13768.7,14747.1,13858.1,13188,13693.1,12970,11392.8,13985.2,14994.7,13584.7,14257.8,13553.4,14007.3,16535.8,14721.4,13664.6,16805.9,13829.4,13735.6,15870.5,15962.4,15744.1,16083.7,14863.9,15533.1,17473.1,15925.5,15573.7,17495,14155.8,14913.9,17250.4,15879.8,17647.8,17749.9,17111.8,16934.8,20280,16238.2,17896.1,18089.3,15660,16162.4,17850.1,18520.4,18524.7,16843.7)
> 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 
-50771 -19030  -2340  15019  64384 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.179e+05  2.476e+04   4.761 8.17e-06 ***
x           5.681e+00  1.666e+00   3.410  0.00101 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 27730 on 82 degrees of freedom
Multiple R-squared: 0.1242,	Adjusted R-squared: 0.1135 
F-statistic: 11.63 on 1 and 82 DF,  p-value: 0.001009 

> postscript(file="/var/www/html/rcomp/tmp/1e2v91229279153.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/2wb0w1229279153.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 
-2.693e-11 -9.919e-12 -3.691e-12  2.004e-12  3.108e-10 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.179e+05  3.218e-11 3.663e+15   <2e-16 ***
x           5.681e+00  2.165e-15 2.624e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.605e-11 on 82 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.883e+30 on 1 and 82 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3xqql1229279153.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-50771 -19030  -2340  15019  64384 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -9.923e-14  2.476e+04 -4.01e-18        1
x            0.000e+00  1.666e+00         0        1

Residual standard error: 27730 on 82 degrees of freedom
Multiple R-squared: 3.241e-36,	Adjusted R-squared: -0.0122 
F-statistic: 2.657e-34 on 1 and 82 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4cocz1229279153.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-19082  -6337  -2471   6474  31407 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.017e+05  1.139e+03       177   <2e-16 ***
m$residuals -3.622e-17  4.159e-02 -8.71e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 10440 on 82 degrees of freedom
Multiple R-squared: 2.368e-30,	Adjusted R-squared: -0.0122 
F-statistic: 1.942e-28 on 1 and 82 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/58z7b1229279153.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 
-29557 -12119  -2583   5387  56578 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -137.75283 1921.94680  -0.072    0.943    
Residuals      0.78070    0.06993  11.164   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 17510 on 81 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.6061,	Adjusted R-squared: 0.6012 
F-statistic: 124.6 on 1 and 81 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/63h881229279153.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/70w091229279153.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/81q2z1229279153.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9wrfa1229279153.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/10948q1229279153.tab") 
> 
> system("convert tmp/1e2v91229279153.ps tmp/1e2v91229279153.png")
> system("convert tmp/2wb0w1229279153.ps tmp/2wb0w1229279153.png")
> system("convert tmp/3xqql1229279153.ps tmp/3xqql1229279153.png")
> system("convert tmp/4cocz1229279153.ps tmp/4cocz1229279153.png")
> system("convert tmp/58z7b1229279153.ps tmp/58z7b1229279153.png")
> system("convert tmp/63h881229279153.ps tmp/63h881229279153.png")
> system("convert tmp/70w091229279153.ps tmp/70w091229279153.png")
> system("convert tmp/81q2z1229279153.ps tmp/81q2z1229279153.png")
> system("convert tmp/9wrfa1229279153.ps tmp/9wrfa1229279153.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.906   1.413   2.621