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(104.37,104.89,105.15,105.72,106.38,106.40,106.47,106.59,106.76,107.35,107.81,108.03,109.08,109.86,110.29,110.34,110.59,110.64,110.83,111.51,113.32,115.89,116.51,117.44,118.25,118.65,118.52,119.07,119.12,119.28,119.30,119.44,119.57,119.93,120.03,119.66,119.46,119.48,119.56,119.43,119.57,119.59,119.50,119.54,119.56,119.61,119.64,119.60,119.71,119.72,119.66,119.76,119.80,119.88,119.78,120.08,120.22)
> x <- c(167.16,179.84,174.44,180.35,193.17,195.16,202.43,189.91,195.98,212.09,205.81,204.31,196.07,199.98,199.1,198.31,195.72,223.04,238.41,259.73,326.54,335.15,321.81,368.62,369.59,425,439.72,362.23,328.76,348.55,328.18,329.34,295.55,237.38,226.85,220.14,239.36,224.69,230.98,233.47,256.7,253.41,224.95,210.37,191.09,198.85,211.04,206.25,201.19,194.37,191.08,192.87,181.61,157.67,196.14,246.35,271.9)
> 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 
-8.4284 -4.2580  0.6626  4.8789  7.3860 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 107.43590    2.61747  41.046  < 2e-16 ***
x             0.03208    0.01043   3.075  0.00327 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.252 on 55 degrees of freedom
Multiple R-squared: 0.1467,	Adjusted R-squared: 0.1312 
F-statistic: 9.458 on 1 and 55 DF,  p-value: 0.003271 

> postscript(file="/var/www/html/rcomp/tmp/110mn1289569055.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/210mn1289569055.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 
-1.332e-13 -3.507e-16  3.250e-15  5.349e-15  9.557e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.074e+02  9.354e-15 1.149e+16   <2e-16 ***
x           3.208e-02  3.728e-17 8.606e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.877e-14 on 55 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.406e+29 on 1 and 55 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3b9l81289569055.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.4284 -4.2580  0.6626  4.8789  7.3860 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.324e-15  2.617e+00  5.06e-16        1
x           -3.528e-18  1.043e-02 -3.38e-16        1

Residual standard error: 5.252 on 55 degrees of freedom
Multiple R-squared: 2.259e-32,	Adjusted R-squared: -0.01818 
F-statistic: 1.242e-30 on 1 and 55 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/440kt1289569055.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.7024 -1.4734 -0.9566  0.5717  6.3458 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.152e+02  2.885e-01    399.3   <2e-16 ***
m$residuals 8.494e-16  5.592e-02 1.52e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.178 on 55 degrees of freedom
Multiple R-squared: 1.548e-29,	Adjusted R-squared: -0.01818 
F-statistic: 8.515e-28 on 1 and 55 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/5xs2e1289569055.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 
-1.6305 -0.4667 -0.0604  0.3782  2.7219 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.22080    0.10850   2.035   0.0468 *  
Residuals    0.96916    0.02096  46.238   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.8118 on 54 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9754,	Adjusted R-squared: 0.9749 
F-statistic:  2138 on 1 and 54 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6xs2e1289569055.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7711z1289569055.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8711z1289569055.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9ia0k1289569055.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/10w2yt1289569055.tab") 
> 
> try(system("convert tmp/110mn1289569055.ps tmp/110mn1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/210mn1289569055.ps tmp/210mn1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/3b9l81289569055.ps tmp/3b9l81289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/440kt1289569055.ps tmp/440kt1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/5xs2e1289569055.ps tmp/5xs2e1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/6xs2e1289569055.ps tmp/6xs2e1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/7711z1289569055.ps tmp/7711z1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/8711z1289569055.ps tmp/8711z1289569055.png",intern=TRUE))
character(0)
> try(system("convert tmp/9ia0k1289569055.ps tmp/9ia0k1289569055.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.786   1.348   5.178