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(41,38,37,42,40,43,40,45,45,44,42,32,32,41,38,38,24,46,42,46,43,38,39,40,37,41,46,26,37,39,44,38,38,38,33,43,41,49,45,31,30,38,39,40,36,49,41,18,42,41,43,46,41,39,42,35,36,48,41,47,41,31,36,46,44,43,40,40,46,39,44,38,39,41,39,40,44,42,46,44,37,39,40,42,37,33,35,42,36,44,45,47,40,49,48,29,45,29,41,34,38,37,48,39,34,35,41,43,41,39,36,32,46,42,42,45,39,45,48,28,35,38,42,36,37,38,43,35,36,33,39,32,45,35,38,36,42,41,47,35,43,40,46,44,35,29)
> x <- c(9,9,9,8,15,9,11,6,10,11,16,11,11,7,10,9,15,6,12,10,14,9,14,14,9,8,10,9,9,9,11,10,8,14,10,14,15,8,10,13,13,10,11,10,16,6,11,12,14,9,11,8,8,11,16,12,14,8,10,14,10,5,12,9,8,16,13,8,14,8,7,11,6,9,14,12,8,8,12,13,11,12,13,14,9,8,8,9,14,14,14,14,9,14,8,10,11,13,9,13,16,12,4,10,14,10,9,8,9,15,8,11,12,9,13,7,10,11,8,14,9,16,11,12,8,7,13,20,11,10,16,12,8,10,11,14,10,12,11,11,14,16,9,11,9,14)
> 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 
-21.2573  -2.6263   0.7098   4.0705  10.4313 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  43.3891     1.7522  24.762   <2e-16 ***
x            -0.3443     0.1558  -2.209   0.0287 *  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.214 on 144 degrees of freedom
Multiple R-squared: 0.03279,	Adjusted R-squared: 0.02607 
F-statistic: 4.881 on 1 and 144 DF,  p-value: 0.02873 

> postscript(file="/var/www/html/rcomp/tmp/1posk1292679952.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/html/rcomp/tmp/20g9n1292679952.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 
-5.846e-13 -7.115e-16  5.891e-15  5.975e-15  1.931e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  4.339e+01  1.647e-14  2.634e+15   <2e-16 ***
x           -3.443e-01  1.465e-15 -2.350e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.901e-14 on 144 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.525e+28 on 1 and 144 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/30g9n1292679952.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-21.2573  -2.6263   0.7098   4.0705  10.4313 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  5.276e-17  1.752e+00  3.01e-17        1
x           -1.327e-17  1.558e-01 -8.52e-17        1

Residual standard error: 5.214 on 144 degrees of freedom
Multiple R-squared: 3.961e-34,	Adjusted R-squared: -0.006944 
F-statistic: 5.704e-32 on 1 and 144 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4apqq1292679952.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-3.13420 -0.72400 -0.03537  0.65325  2.37482 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  3.964e+01  7.945e-02     498.9   <2e-16 ***
m$residuals -1.207e-16  1.534e-02 -7.86e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.96 on 144 degrees of freedom
Multiple R-squared: 1.708e-27,	Adjusted R-squared: -0.006944 
F-statistic: 2.46e-25 on 1 and 144 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/5lyqs1292679952.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 
-21.3073  -2.6942   0.5761   4.1523  10.4509 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.007612   0.434174  -0.018    0.986
Residuals    0.041176   0.084551   0.487    0.627

Residual standard error: 5.228 on 143 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.001656,	Adjusted R-squared: -0.005326 
F-statistic: 0.2372 on 1 and 143 DF,  p-value: 0.627 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6wppv1292679952.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7wppv1292679952.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/86h6y1292679952.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/96h6y1292679952.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/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/10l84p1292679952.tab") 
> 
> try(system("convert tmp/1posk1292679952.ps tmp/1posk1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/20g9n1292679952.ps tmp/20g9n1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/30g9n1292679952.ps tmp/30g9n1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/4apqq1292679952.ps tmp/4apqq1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/5lyqs1292679952.ps tmp/5lyqs1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/6wppv1292679952.ps tmp/6wppv1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/7wppv1292679952.ps tmp/7wppv1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/86h6y1292679952.ps tmp/86h6y1292679952.png",intern=TRUE))
character(0)
> try(system("convert tmp/96h6y1292679952.ps tmp/96h6y1292679952.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.961   1.475   4.883