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(0,0,0,1,1,2,16,25,39,45)
> x <- c(0,0,0,2,16,85,174.5,336.5,510,849)
> par1 = '0'
> par1 <- '0'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P., (2012), Linear Regression Graphical Model Validation (v1.0.7) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_linear_regression.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> 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 
-6.535 -1.203 -1.178  2.805  7.562 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.203292   1.736519   0.693    0.508    
x           0.059284   0.005161  11.487 2.99e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.448 on 8 degrees of freedom
Multiple R-squared: 0.9428,	Adjusted R-squared: 0.9357 
F-statistic: 131.9 on 1 and 8 DF,  p-value: 2.989e-06 

> postscript(file="/var/www/rcomp/tmp/15ff91346912452.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/2nt2o1346912452.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 
-2.437e-15 -6.502e-16 -2.469e-16  9.497e-16  2.088e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.203e+00  5.458e-16 2.205e+15   <2e-16 ***
x           5.928e-02  1.622e-18 3.655e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.398e-15 on 8 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.336e+33 on 1 and 8 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3q56t1346912452.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-6.535 -1.203 -1.178  2.805  7.562 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -5.980e-17  1.737e+00       0        1
x            4.303e-19  5.161e-03       0        1

Residual standard error: 4.448 on 8 degrees of freedom
Multiple R-squared: 2.823e-34,	Adjusted R-squared: -0.125 
F-statistic: 2.258e-33 on 1 and 8 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4s46e1346912452.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-11.697 -11.667  -8.703   5.851  38.635 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)  
(Intercept) 1.290e+01  5.713e+00   2.258   0.0539 .
m$residuals 7.632e-17  1.436e+00   0.000   1.0000  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 18.06 on 8 degrees of freedom
Multiple R-squared: 1.571e-32,	Adjusted R-squared: -0.125 
F-statistic: 1.257e-31 on 1 and 8 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/5k3vp1346912452.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 
-5.780 -1.588 -1.422  3.672  7.834 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)   0.2281     1.6008   0.143     0.89
Residuals    -0.1301     0.4467  -0.291     0.78

Residual standard error: 4.703 on 7 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01196,	Adjusted R-squared: -0.1292 
F-statistic: 0.08477 on 1 and 7 DF,  p-value: 0.7794 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6wpl01346912452.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7lgra1346912452.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8jgrp1346912452.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9w7yj1346912452.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/10017r1346912452.tab") 
> 
> try(system("convert tmp/15ff91346912452.ps tmp/15ff91346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/2nt2o1346912452.ps tmp/2nt2o1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/3q56t1346912452.ps tmp/3q56t1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/4s46e1346912452.ps tmp/4s46e1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/5k3vp1346912452.ps tmp/5k3vp1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/6wpl01346912452.ps tmp/6wpl01346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/7lgra1346912452.ps tmp/7lgra1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/8jgrp1346912452.ps tmp/8jgrp1346912452.png",intern=TRUE))
character(0)
> try(system("convert tmp/9w7yj1346912452.ps tmp/9w7yj1346912452.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.040   0.130   2.192