R version 2.12.1 (2010-12-16)
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(13,6.666666667,7,7.5,15.5,15,10.5,6,9,12,12,4.5,6,5.5,12,7,7,6,7,5,5,4.5,4.5,3.5,4.75,4.75,10,4,6,3,7,9,7,7,8,7,6,7,13,4,10,3,4.5,8.52,5.2,4,10.4,5,7.2,7.4,12,7.3,12.3,8,12.3,5.5,9,5.4,3.3,10)
> x <- c(129.99,59.99,49.99,84.99,179.99,329.99,25.99,499.99,89.99,119.99,79.99,199.99,449.99,549.99,529.99,639.99,749.99,399.99,169.99,189.99,199.99,69.99,69.99,109.99,159.99,159.99,199.99,75,349.99,439.99,309.99,379.99,349.99,169.99,239.99,229.99,69.99,99.99,29.99,39.99,21.99,499.99,29.99,29.99,49.99,49.99,55.99,59.99,79.99,139.99,159.99,169.99,229.99,249.99,309.99,499.99,65.99,89.99,89.99,449.99)
> par1 = '0'
> 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 
-4.391 -2.497 -0.496  1.794  7.995 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  7.5834700  0.6292266   12.05   <2e-16 ***
x           -0.0004375  0.0022982   -0.19     0.85    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.12 on 58 degrees of freedom
Multiple R-squared: 0.0006245,	Adjusted R-squared: -0.01661 
F-statistic: 0.03625 on 1 and 58 DF,  p-value: 0.8497 

> postscript(file="/var/www/rcomp/tmp/10shr1321899945.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/20icl1321899945.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 
-2.198e-15 -3.054e-16 -1.327e-17  2.665e-16  1.338e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  7.583e+00  1.016e-16  7.463e+16   <2e-16 ***
x           -4.375e-04  3.711e-19 -1.179e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.039e-16 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.39e+30 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/306qj1321899945.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-4.391 -2.497 -0.496  1.794  7.995 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  4.152e-16  6.292e-01       0        1
x           -8.327e-19  2.298e-03       0        1

Residual standard error: 3.12 on 58 degrees of freedom
Multiple R-squared: 1.146e-32,	Adjusted R-squared: -0.01724 
F-statistic: 6.645e-31 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4om2x1321899945.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.23613 -0.04580  0.02202  0.06140  0.08240 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 7.491e+00  1.007e-02   743.9   <2e-16 ***
m$residuals 2.683e-19  3.282e-03     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.078 on 58 degrees of freedom
Multiple R-squared: 7.242e-28,	Adjusted R-squared: -0.01724 
F-statistic: 4.201e-26 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/rcomp/tmp/5miwz1321899945.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 
-4.6263 -2.3108 -0.4712  1.7687  8.0883 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.08642    0.39431  -0.219    0.827
Residuals    0.14343    0.12823   1.118    0.268

Residual standard error: 3.028 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.02148,	Adjusted R-squared: 0.00431 
F-statistic: 1.251 on 1 and 57 DF,  p-value: 0.2680 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/61fha1321899945.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/79l241321899945.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8gk5g1321899945.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9cn8c1321899945.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/105ky61321899945.tab") 
> 
> try(system("convert tmp/10shr1321899945.ps tmp/10shr1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/20icl1321899945.ps tmp/20icl1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/306qj1321899945.ps tmp/306qj1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/4om2x1321899945.ps tmp/4om2x1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/5miwz1321899945.ps tmp/5miwz1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/61fha1321899945.ps tmp/61fha1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/79l241321899945.ps tmp/79l241321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/8gk5g1321899945.ps tmp/8gk5g1321899945.png",intern=TRUE))
character(0)
> try(system("convert tmp/9cn8c1321899945.ps tmp/9cn8c1321899945.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.264   0.512   3.784