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(14,11,6,12,8,10,10,11,16,11,13,12,8,12,11,4,9,8,8,14,15,16,9,14,11,8,9,9,9,9,10,16,11,8,9,16,11,16,12,12,14,9,10,9,10,12,14,14,10,14,16,9,10,6,8,13,10,8,7,15,9,10,12,13,10,11,8,9,13,11,8,9,9,15,9,10,14,12,12,11,14,6,12,8,14,11,10,14,12,10,14,5,11,10,9,10,16,13,9,10,10,7,9,8,14,14,8,9,14,14,8,8,8,7,6,8,6,11,14,11,11,11,14,8,20,11,8,11,10,14,11,9,9,8,10,13,13,12,8,13,14,12,14,15,13,16,9,9,9,8,7,16,11,9,11,9,14,13,16)
> x <- c(11,7,17,10,12,12,11,11,12,13,14,16,11,10,11,15,9,11,17,17,11,18,14,10,11,15,15,13,16,13,9,18,18,12,17,9,9,12,18,12,18,14,15,16,10,11,14,9,12,17,5,12,12,6,24,12,12,14,7,13,12,13,14,8,11,9,11,13,10,11,12,9,15,18,15,12,13,14,10,13,13,11,13,16,8,16,11,9,16,12,14,8,9,15,11,21,14,18,12,13,15,12,19,15,11,11,10,13,15,12,12,16,9,18,8,13,17,9,15,8,7,12,14,6,8,17,10,11,14,11,13,12,11,9,12,20,12,13,12,12,9,15,24,7,17,11,17,11,12,14,11,16,21,14,20,13,11,15,19)
> 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 
-6.94058 -1.94058 -0.05132  2.12586  9.21445 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 10.60837    0.86285  12.295   <2e-16 ***
x            0.02215    0.06485   0.342    0.733    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.808 on 157 degrees of freedom
Multiple R-squared: 0.0007424,	Adjusted R-squared: -0.005622 
F-statistic: 0.1166 on 1 and 157 DF,  p-value: 0.7332 

> postscript(file="/var/www/html/rcomp/tmp/189ho1289921163.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/289ho1289921163.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 
-1.435e-13  2.352e-16  9.376e-16  1.311e-15  3.127e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.061e+01  3.538e-15 2.999e+15   <2e-16 ***
x           2.215e-02  2.659e-16 8.330e+13   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.151e-14 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.94e+27 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3i0gr1289921163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-6.94058 -1.94058 -0.05132  2.12586  9.21445 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -4.360e-16  8.628e-01 -5.05e-16        1
x            1.474e-17  6.485e-02  2.27e-16        1

Residual standard error: 2.808 on 157 degrees of freedom
Multiple R-squared: 1.67e-32,	Adjusted R-squared: -0.006369 
F-statistic: 2.622e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4trfc1289921163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.17397 -0.04109 -0.01894  0.04750  0.24682 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.089e+01  6.071e-03      1794   <2e-16 ***
m$residuals -3.534e-16  2.175e-03 -1.62e-13        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.07655 on 157 degrees of freedom
Multiple R-squared: 2.915e-28,	Adjusted R-squared: -0.006369 
F-statistic: 4.577e-26 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/html/rcomp/tmp/5m1xx1289921163.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 
-6.9379 -2.0101 -0.5608  2.1177  9.4946 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01690    0.22223  -0.076    0.939
Residuals    0.09604    0.08019   1.198    0.233

Residual standard error: 2.793 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.009113,	Adjusted R-squared: 0.002761 
F-statistic: 1.435 on 1 and 156 DF,  p-value: 0.2328 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6m1xx1289921163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7esei1289921163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8esei1289921163.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9esei1289921163.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/10mbbc1289921163.tab") 
> 
> try(system("convert tmp/189ho1289921163.ps tmp/189ho1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/289ho1289921163.ps tmp/289ho1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/3i0gr1289921163.ps tmp/3i0gr1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/4trfc1289921163.ps tmp/4trfc1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/5m1xx1289921163.ps tmp/5m1xx1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/6m1xx1289921163.ps tmp/6m1xx1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/7esei1289921163.ps tmp/7esei1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/8esei1289921163.ps tmp/8esei1289921163.png",intern=TRUE))
character(0)
> try(system("convert tmp/9esei1289921163.ps tmp/9esei1289921163.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.813   1.364   2.378