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(6675,6539,6699,6962,6981,7024,6940,6774,6671,6965,6969,6822,6878,6691,6837,7018,7167,7076,7171,7093,6971,7142,7047,6999,6650,6475,6437,6639,6422,6272,6232,6003,5673,6050,5977,5796,5752,5609,5839,6069,6006,5809,5797,5502,5568,5864,5764,5615,5615,5681,5915,6334,6494,6620,6578,6495,6538,6737,6651,6530)
> x <- c(2534,2605,2682,2755,2760,2735,2659,2654,2670,2785,2845,2723,2746,2767,2940,2977,2993,2892,2824,2771,2686,2738,2723,2731,2632,2606,2605,2646,2627,2535,2456,2404,2319,2519,2504,2382,2394,2381,2501,2532,2515,2429,2389,2261,2272,2439,2373,2327,2364,2388,2553,2663,2694,2679,2611,2580,2627,2732,2707,2633)
> 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 
-498.20 -142.27   15.02  129.45  439.93 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) -631.2205   383.0837  -1.648    0.105    
x              2.7097     0.1466  18.487   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 196.8 on 58 degrees of freedom
Multiple R-squared: 0.8549,	Adjusted R-squared: 0.8524 
F-statistic: 341.8 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/1lond1256751383.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/20csd1256751383.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 
-7.063e-13 -3.755e-13 -1.794e-13  2.137e-14  1.062e-11 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -6.312e+02  2.786e-12 -2.265e+14   <2e-16 ***
x            2.710e+00  1.066e-15  2.542e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.432e-12 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.46e+30 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3hnt31256751383.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-498.20 -142.27   15.02  129.45  439.93 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.984e-13  3.831e+02 -5.18e-16        1
x            4.233e-17  1.466e-01  2.89e-16        1

Residual standard error: 196.8 on 58 degrees of freedom
Multiple R-squared: 1.566e-31,	Adjusted R-squared: -0.01724 
F-statistic: 9.08e-30 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4g9yy1256751383.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-939.98 -320.15   58.53  334.24 1043.49 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 6.435e+03  6.169e+01    104.3   <2e-16 ***
m$residuals 2.478e-15  3.187e-01 7.77e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 477.8 on 58 degrees of freedom
Multiple R-squared: 7.558e-30,	Adjusted R-squared: -0.01724 
F-statistic: 4.384e-28 on 1 and 58 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/5pbfw1256751383.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 
-360.859  -62.020    5.185   81.309  253.100 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -7.12085   15.54490  -0.458    0.649    
Residuals    0.74229    0.07966   9.318 4.69e-13 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 119.4 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.6037,	Adjusted R-squared: 0.5967 
F-statistic: 86.83 on 1 and 57 DF,  p-value: 4.688e-13 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6moll1256751383.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zy7z1256751383.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8qskk1256751383.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9fax61256751383.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/10hg9w1256751383.tab") 
> 
> system("convert tmp/1lond1256751383.ps tmp/1lond1256751383.png")
> system("convert tmp/20csd1256751383.ps tmp/20csd1256751383.png")
> system("convert tmp/3hnt31256751383.ps tmp/3hnt31256751383.png")
> system("convert tmp/4g9yy1256751383.ps tmp/4g9yy1256751383.png")
> system("convert tmp/5pbfw1256751383.ps tmp/5pbfw1256751383.png")
> system("convert tmp/6moll1256751383.ps tmp/6moll1256751383.png")
> system("convert tmp/7zy7z1256751383.ps tmp/7zy7z1256751383.png")
> system("convert tmp/8qskk1256751383.ps tmp/8qskk1256751383.png")
> system("convert tmp/9fax61256751383.ps tmp/9fax61256751383.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.799   1.343   2.255