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(354,367.7,363.3,358.4,353.1,343.1,344.6,344.4,333.9,331.7,324.3,321.2,322.4,321.7,320.5,312.8,309.7,315.6,309.7,304.6,302.5,301.5,298.8,291.3,293.6,294.6,285.9,297.6,301.1,293.8,297.7,292.9,292.1,287.2,288.2,283.8,299.9,292.4,293.3,300.8,293.7,293.1,294.4,292.1,291.9,282.5,277.9,287.5,289.2,285.6,293.2,290.8,283.1,275,287.8,287.8,287.4,284,277.8,277.6,304.9,294,300.9,324,332.9,341.6,333.4,348.2,344.7,344.7,329.3,323.5,323.2,317.4,330.1,329.2,334.9,315.8,315.4,319.6,317.3,313.8,315.8,311.3)
> x <- c(87.48,82.39,83.48,79.31,78.16,72.77,72.45,68.46,67.62,68.76,70.07,68.55,65.3,58.96,59.17,62.37,66.28,55.62,55.23,55.85,56.75,50.89,53.88,52.95,55.08,53.61,58.78,61.85,55.91,53.32,46.41,44.57,50,50,53.36,46.23,50.45,49.07,45.85,48.45,49.96,46.53,50.51,47.58,48.05,46.84,47.67,49.16,55.54,55.82,58.22,56.19,57.77,63.19,54.76,55.74,62.54,61.39,69.6,79.23,80,93.68,107.63,100.18,97.3,90.45,80.64,80.58,75.82,85.59,89.35,89.42,104.73,95.32,89.27,90.44,86.97,79.98,81.22,87.35,83.64,82.22,94.4,102.18)
> 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 
-41.908 -10.319  -1.826   9.914  45.617 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 254.9321     8.1417  31.312  < 2e-16 ***
x             0.8150     0.1167   6.982 6.96e-10 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 18.26 on 82 degrees of freedom
Multiple R-squared: 0.3728,	Adjusted R-squared: 0.3652 
F-statistic: 48.75 on 1 and 82 DF,  p-value: 6.96e-10 

> postscript(file="/var/www/rcomp/tmp/1kd4i1290704201.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/2kd4i1290704201.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 
-3.090e-13 -1.233e-14  6.179e-15  1.601e-14  4.087e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.549e+02  1.702e-14 1.498e+16   <2e-16 ***
x           8.150e-01  2.440e-16 3.340e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.816e-14 on 82 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.116e+31 on 1 and 82 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3vm4m1290704201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-41.908 -10.319  -1.826   9.914  45.617 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.343e-15  8.142e+00 -2.88e-16        1
x            3.951e-17  1.167e-01  3.38e-16        1

Residual standard error: 18.26 on 82 degrees of freedom
Multiple R-squared: 2.986e-33,	Adjusted R-squared: -0.0122 
F-statistic: 2.449e-31 on 1 and 82 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/46wlo1290704201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-18.789 -11.472  -4.212  11.286  32.607 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  3.100e+02  1.536e+00     201.9   <2e-16 ***
m$residuals -3.118e-16  8.514e-02 -3.66e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 14.08 on 82 degrees of freedom
Multiple R-squared: 3.181e-30,	Adjusted R-squared: -0.0122 
F-statistic: 2.609e-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/rcomp/tmp/5z52r1290704201.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 
-23.4657  -4.8990  -0.9446   4.6206  24.2200 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.61557    0.98903  -0.622    0.535    
Residuals    0.86666    0.05523  15.690   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 9.009 on 81 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.7524,	Adjusted R-squared: 0.7494 
F-statistic: 246.2 on 1 and 81 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6z52r1290704201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7sw1c1290704201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8sw1c1290704201.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9sw1c1290704201.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/10gxgo1290704201.tab") 
> try(system("convert tmp/1kd4i1290704201.ps tmp/1kd4i1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/2kd4i1290704201.ps tmp/2kd4i1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/3vm4m1290704201.ps tmp/3vm4m1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/46wlo1290704201.ps tmp/46wlo1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/5z52r1290704201.ps tmp/5z52r1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/6z52r1290704201.ps tmp/6z52r1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/7sw1c1290704201.ps tmp/7sw1c1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/8sw1c1290704201.ps tmp/8sw1c1290704201.png",intern=TRUE))
character(0)
> try(system("convert tmp/9sw1c1290704201.ps tmp/9sw1c1290704201.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.780   0.930   3.678