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(5,3,0,7,4,1,6,3,0,5,6,6,6,2,1,5,7,3,3,7,8,6,3,5,5,10,2,6,4,6,8,4,5,10,6,7,4,10,4,3,3,3,3,7,15,0,0,4,5,5,2,3,0,9,2,7,7,0,0,10,2,1,8,6,11,3,8,6,9,9,8,8,6,5,4,6,3,2,8,9,6,5,2,4,7,5,6,7,8,6,0,1,5,5,5,7,7,1,3,4,8,6,6,2,2,3,3,2,8,8,0,5,9,6,3,9,8,0,0,5,0,14,5,2,8,4,2,6,3,5,9,3,10,4,2,3,10,7,0,6,8,0,4,10,5)
> x <- c(9,6,13,7,8,8,11,11,9,12,6,8,8,20,8,16,8,12,11,8,9,4,8,8,8,8,4,14,10,9,6,10,11,8,10,8,7,8,7,9,5,5,9,9,7,7,7,9,8,5,9,8,6,8,8,6,8,6,4,6,12,4,7,12,6,11,10,6,8,9,9,4,7,11,8,7,5,10,7,8,7,8,9,10,8,11,7,8,9,6,7,20,8,6,6,6,9,5,10,8,10,6,10,6,10,8,13,9,9,5,9,6,5,7,5,5,7,9,4,11,10,12,4,8,10,10,8,7,10,6,4,6,8,8,11,8,5,8,9,8,13,7,9,10,5)
> 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 
-5.43177 -2.21083  0.01010  2.01010  9.89964 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  5.87363    0.82447   7.124 4.73e-11 ***
x           -0.11047    0.09548  -1.157    0.249    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.039 on 143 degrees of freedom
Multiple R-squared: 0.009274,	Adjusted R-squared: 0.002346 
F-statistic: 1.339 on 1 and 143 DF,  p-value: 0.2492 

> postscript(file="/var/www/html/rcomp/tmp/1h1q51289909616.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/2h1q51289909616.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 
-1.656e-15 -4.527e-16 -1.941e-16 -3.072e-17  3.270e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  5.874e+00  7.501e-16  7.831e+15   <2e-16 ***
x           -1.105e-01  8.686e-17 -1.272e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.764e-15 on 143 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.617e+30 on 1 and 143 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3sbq81289909616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-5.43177 -2.21083  0.01010  2.01010  9.89964 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -5.672e-16  8.245e-01 -6.88e-16        1
x            5.581e-17  9.548e-02  5.85e-16        1

Residual standard error: 3.039 on 143 degrees of freedom
Multiple R-squared: 7.248e-33,	Adjusted R-squared: -0.006993 
F-statistic: 1.036e-30 on 1 and 143 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4k27t1289909616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.30123 -0.08609  0.02438  0.24531  0.46625 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 4.966e+00  2.442e-02    203.4   <2e-16 ***
m$residuals 6.110e-18  8.091e-03 7.55e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.294 on 143 degrees of freedom
Multiple R-squared: 1.021e-28,	Adjusted R-squared: -0.006993 
F-statistic: 1.46e-26 on 1 and 143 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/5vb6w1289909616.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 
-5.65764 -2.13700 -0.02369  2.04978  9.99260 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.0007403  0.2538779  -0.003    0.998
Residuals   -0.0434890  0.0838416  -0.519    0.605

Residual standard error: 3.047 on 142 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.001891,	Adjusted R-squared: -0.005138 
F-statistic: 0.2691 on 1 and 142 DF,  p-value: 0.6048 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6vb6w1289909616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7oloz1289909616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8oloz1289909616.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9oloz1289909616.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/10u4kt1289909616.tab") 
> 
> try(system("convert tmp/1h1q51289909616.ps tmp/1h1q51289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/2h1q51289909616.ps tmp/2h1q51289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/3sbq81289909616.ps tmp/3sbq81289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/4k27t1289909616.ps tmp/4k27t1289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/5vb6w1289909616.ps tmp/5vb6w1289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/6vb6w1289909616.ps tmp/6vb6w1289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/7oloz1289909616.ps tmp/7oloz1289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/8oloz1289909616.ps tmp/8oloz1289909616.png",intern=TRUE))
character(0)
> try(system("convert tmp/9oloz1289909616.ps tmp/9oloz1289909616.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.834   1.382   2.758