R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(3111,3995,5245,5588,10681,10516,7496,9935,10249,6271,3616,3724,2886,3318,4166,6401,9209,9820,7470,8207,9564,5309,3385,3706,2733,3045,3449,5542,10072,9418,7516,7840,10081,4956,3641,3970,2931,3170,3889,4850,8037,12370,6712,7297,10613,5184,3506,3810,2692,3073,3713,4555,7807,10869,9682,7704,9826,5456,3677,3431,2765,3483,3445,6081,8767,9407,6551,12480,9530,5960,3252,3717,2642,2989,3607,5366,8898,9435,7328,8594,11349,5797,3621,3851)
> x <- c(332,369,384,373,378,426,423,397,422,409,430,412,470,491,504,484,474,508,492,452,457,457,471,451,493,514,522,490,484,506,501,462,465,454,464,427,460,473,465,422,415,413,420,363,376,380,384,346,389,407,393,346,348,353,364,305,307,312,312,286,324,336,327,302,299,311,315,264,278,278,287,279,324,354,354,360,363,385,412,370,389,395,417,404)
> 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 
-3702.5 -2558.5  -704.6  2436.4  6212.7 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 7025.899   1848.026   3.802 0.000275 ***
x             -2.103      4.579  -0.459 0.647260    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2852 on 82 degrees of freedom
Multiple R-squared: 0.002566,	Adjusted R-squared: -0.009598 
F-statistic: 0.2109 on 1 and 82 DF,  p-value: 0.6473 

> postscript(file="/var/www/rcomp/tmp/1mpya1292687700.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/rcomp/tmp/2wgxd1292687700.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 
-8.027e-13 -2.341e-13 -2.476e-14  2.278e-13  1.452e-12 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  7.026e+03  2.780e-13  2.527e+16   <2e-16 ***
x           -2.103e+00  6.890e-16 -3.053e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.291e-13 on 82 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 9.318e+30 on 1 and 82 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/37pxy1292687700.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-3702.5 -2558.5  -704.6  2436.4  6212.7 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.063e-13  1.848e+03       0        1
x            8.022e-17  4.579e+00       0        1

Residual standard error: 2852 on 82 degrees of freedom
Multiple R-squared: 1.05e-34,	Adjusted R-squared: -0.0122 
F-statistic: 8.607e-33 on 1 and 82 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/47pxy1292687700.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-261.244 -126.115    3.756  105.760  281.375 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 6.189e+03  1.578e+01   392.2   <2e-16 ***
m$residuals 2.078e-17  5.601e-03     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 144.6 on 82 degrees of freedom
Multiple R-squared: 1.929e-29,	Adjusted R-squared: -0.0122 
F-statistic: 1.581e-27 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/rcomp/tmp/5ize11292687700.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 
-3813.2 -1682.0  -647.9  1534.1  5870.4 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept)  21.16156  242.59796   0.087     0.93    
Residuals     0.62800    0.08593   7.309  1.7e-10 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2210 on 81 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.3974,	Adjusted R-squared: 0.3899 
F-statistic: 53.41 on 1 and 81 DF,  p-value: 1.701e-10 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6yt2s1292687700.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7yt2s1292687700.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8lhup1292687700.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9lhup1292687700.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/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/10zrax1292687700.tab") 
> 
> try(system("convert tmp/1mpya1292687700.ps tmp/1mpya1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wgxd1292687700.ps tmp/2wgxd1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/37pxy1292687700.ps tmp/37pxy1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/47pxy1292687700.ps tmp/47pxy1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ize11292687700.ps tmp/5ize11292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/6yt2s1292687700.ps tmp/6yt2s1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/7yt2s1292687700.ps tmp/7yt2s1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/8lhup1292687700.ps tmp/8lhup1292687700.png",intern=TRUE))
character(0)
> try(system("convert tmp/9lhup1292687700.ps tmp/9lhup1292687700.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.350   1.170   3.621