R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(23,15,25,18,21,19,15,22,19,20,26,26,21,18,19,19,18,19,24,28,20,29,27,18,19,24,21,22,25,19,15,34,23,19,26,15,15,17,30,19,28,23,23,21,18,19,24,15,20,24,9,20,20,10,44,20,20,20,11,21,21,19,21,17,16,14,19,21,16,19,19,16,24,29,21,20,19,23,18,19,23,19,21,26,13,23,16,17,30,19,22,14,14,21,21,33,23,30,19,21,25,18,29,25,21,16,17,23,26,18,19,28,20,29,19,18,25,15,24,12,11,19,25,12,15,25,14,19,23,19,24,20,16,13,20,30,18,22,21,25,18,25,44,12,28,17,26,18,21,24,20,24,28,20,33,19,19,25,35)
> x <- c(24,25,30,19,22,22,25,23,17,21,19,19,15,16,23,27,22,14,22,23,23,21,19,18,20,23,25,19,24,22,25,26,29,32,25,29,28,17,28,29,26,25,14,25,26,20,18,32,25,25,23,21,20,15,30,24,26,24,22,14,24,24,24,24,19,31,22,27,19,25,20,21,27,23,25,20,21,22,23,25,25,17,19,25,19,20,26,23,27,17,17,19,17,22,21,32,21,21,18,18,23,19,20,21,20,17,18,19,22,15,14,18,24,35,29,21,25,20,22,13,26,17,25,20,19,21,22,24,21,26,24,16,23,18,16,26,19,21,21,22,23,29,21,21,23,27,25,21,10,20,26,24,29,19,24,19,24,22,17)
> 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 
-12.324  -2.899  -0.624   2.884  23.243 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  14.8071     2.2908   6.464 1.23e-09 ***
x             0.2833     0.1016   2.788  0.00596 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.387 on 157 degrees of freedom
Multiple R-squared: 0.04717,	Adjusted R-squared: 0.0411 
F-statistic: 7.773 on 1 and 157 DF,  p-value: 0.005959 

> postscript(file="/var/www/rcomp/tmp/11otv1289852478.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/rcomp/tmp/21otv1289852478.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 
-1.311e-14 -1.090e-15 -8.300e-17  6.796e-16  2.298e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.481e+01  6.631e-16 2.233e+16   <2e-16 ***
x           2.833e-01  2.942e-17 9.631e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.559e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 9.276e+31 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3cxag1289852478.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-12.324  -2.899  -0.624   2.884  23.243 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  3.345e-16  2.291e+00  1.46e-16        1
x           -1.631e-17  1.016e-01 -1.60e-16        1

Residual standard error: 5.387 on 157 degrees of freedom
Multiple R-squared: 1.083e-33,	Adjusted R-squared: -0.006369 
F-statistic: 1.701e-31 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4no911289852478.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-3.44118 -0.89104 -0.04099  0.80906  3.64256 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.108e+01  9.506e-02     221.8   <2e-16 ***
m$residuals -1.721e-17  1.776e-02 -9.69e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.199 on 157 degrees of freedom
Multiple R-squared: 1.399e-30,	Adjusted R-squared: -0.006369 
F-statistic: 2.196e-28 on 1 and 157 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/5xyqm1289852478.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 
-12.0853  -3.2411  -0.4604   2.7723  23.4675 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01896    0.42771  -0.044    0.965
Residuals   -0.10422    0.08180  -1.274    0.204

Residual standard error: 5.375 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0103,	Adjusted R-squared: 0.003956 
F-statistic: 1.624 on 1 and 156 DF,  p-value: 0.2045 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/687qp1289852478.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/787qp1289852478.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/887qp1289852478.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9jyps1289852478.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/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/10x85i1289852478.tab") 
> 
> try(system("convert tmp/11otv1289852478.ps tmp/11otv1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/21otv1289852478.ps tmp/21otv1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/3cxag1289852478.ps tmp/3cxag1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/4no911289852478.ps tmp/4no911289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/5xyqm1289852478.ps tmp/5xyqm1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/687qp1289852478.ps tmp/687qp1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/787qp1289852478.ps tmp/787qp1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/887qp1289852478.ps tmp/887qp1289852478.png",intern=TRUE))
character(0)
> try(system("convert tmp/9jyps1289852478.ps tmp/9jyps1289852478.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
   2.96    1.71    4.69