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(12,11,14,12,21,12,22,11,10,13,10,8,15,14,10,14,14,11,10,13,7,14,12,14,11,9,11,15,14,13,9,15,10,11,13,8,20,12,10,10,9,14,8,14,11,13,9,11,15,11,10,14,18,14,11,12,13,9,10,15,20,12,12,14,13,11,17,12,13,14,13,15,13,10,11,19,13,17,13,9,11,10,9,12,12,13,13,12,15,22,13,15,13,15,10,11,16,11,11,10,10,16,12,11,16,19,11,16,15,24,14,15,11,15,12,10,14,13,9,15,15,14,11,8,11,11,8,10,11,13,11,20,10,15,12,14,23,14,16,11,12,10,14,12,12,11,12,13,11,19,12,17)
> x <- c(1,4,1,2,3,2,2,1,2,1,2,2,2,2,1,2,4,2,2,2,1,1,2,2,2,2,1,3,2,2,4,3,1,1,2,2,1,1,3,2,2,3,1,1,1,3,3,2,2,1,2,2,1,2,1,3,2,2,1,2,1,2,1,1,2,4,1,2,3,2,4,3,1,1,4,2,2,1,2,2,2,3,4,2,2,2,3,1,2,1,4,3,2,2,3,2,2,3,2,1,2,1,2,1,2,2,5,1,3,2,3,2,2,1,2,3,3,3,3,2,3,3,2,2,1,2,1,3,2,2,1,2,1,1,2,2,2,2,1,1,1,1,4,2,1,2,2,3,1,3,2,2)
> 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 
-5.9621 -1.9621 -0.8444  1.2733 11.1556 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  13.0798     0.6427  20.352   <2e-16 ***
x            -0.1177     0.2923  -0.403    0.688    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.133 on 150 degrees of freedom
Multiple R-squared: 0.00108,	Adjusted R-squared: -0.00558 
F-statistic: 0.1621 on 1 and 150 DF,  p-value: 0.6878 

> postscript(file="/var/www/html/rcomp/tmp/12s0t1289934544.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/22s0t1289934544.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 
-4.359e-15 -4.359e-15 -1.894e-15 -1.177e-16  2.700e-13 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  1.308e+01  4.557e-15  2.870e+15   <2e-16 ***
x           -1.177e-01  2.072e-15 -5.678e+13   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.222e-14 on 150 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.224e+27 on 1 and 150 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3d1ix1289934544.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5.9621 -1.9621 -0.8444  1.2733 11.1556 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.109e-15  6.427e-01 -1.73e-15        1
x            5.178e-16  2.923e-01  1.77e-15        1

Residual standard error: 3.133 on 150 degrees of freedom
Multiple R-squared: 1.902e-32,	Adjusted R-squared: -0.006667 
F-statistic: 2.853e-30 on 1 and 150 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/46szh1289934544.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.350720  0.002323  0.002323  0.120003  0.120003 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.284e+01  8.356e-03      1537   <2e-16 ***
m$residuals -1.295e-16  2.684e-03 -4.82e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.103 on 150 degrees of freedom
Multiple R-squared: 6.01e-27,	Adjusted R-squared: -0.006667 
F-statistic: 9.016e-25 on 1 and 150 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/5ykgk1289934544.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 
-5.971 -1.972 -0.828  1.308 11.120 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.006717   0.255746   0.026     0.98
Residuals   0.012539   0.082379   0.152     0.88

Residual standard error: 3.143 on 149 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0001555,	Adjusted R-squared: -0.006555 
F-statistic: 0.02317 on 1 and 149 DF,  p-value: 0.8792 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6rbxn1289934544.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7rbxn1289934544.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8rbxn1289934544.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9k2xq1289934544.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/10guuz1289934544.tab") 
> 
> try(system("convert tmp/12s0t1289934544.ps tmp/12s0t1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/22s0t1289934544.ps tmp/22s0t1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/3d1ix1289934544.ps tmp/3d1ix1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/46szh1289934544.ps tmp/46szh1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ykgk1289934544.ps tmp/5ykgk1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/6rbxn1289934544.ps tmp/6rbxn1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/7rbxn1289934544.ps tmp/7rbxn1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/8rbxn1289934544.ps tmp/8rbxn1289934544.png",intern=TRUE))
character(0)
> try(system("convert tmp/9k2xq1289934544.ps tmp/9k2xq1289934544.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.820   1.353   2.253