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(6,4,4,4,4.5,3.5,2,5.5,3.5,3.5,6,5,5,4,4,2,4.5,4,3.5,5.5,4.5,5.5,6.5,4,4,4.5,3,4.5,4.5,3,3,8,2.5,3.5,4.5,3,3,2.5,6,3.5,5,4.5,4,2.5,4,4,5,3,4,3.5,2,4,4,2,10,4,4,3,2,4,4.5,3,3.5,4.5,2.5,2.5,4,4,3,4,3.5,3.5,4.5,5.5,3,4,3,4.5,4,3,5,4,4,5,2.5,3.5,2.5,4,7,3.5,4,3,2.5,3,5,6,4.5,6,3.5,4,5,3,5,5,5,2.5,3.5,5,5.5,3,3.5,6,5.5,5.5,5.5,2.5,4,3,4.5,2,2,3.5,5.5,3,3.5,4,2,4,4.5,4,5.5,4,2.5,2,4,5,3,4.5,4.5,6.5,4.5,5,10,2.5,5.5,3,4.5,3.5,4.5,5,4.5,4,3.5,3,6.5,3,4,5,8)
> x <- c(5.5,3.5,8.5,5,6,6,5.5,5.5,6,6.5,7,8,5.5,5,5.5,7.5,4.5,5.5,8.5,8.5,5.5,9,7,5,5.5,7.5,7.5,6.5,8,6.5,4.5,9,9,6,8.5,4.5,4.5,6,9,6,9,7,7.5,8,5,5.5,7,4.5,6,8.5,2.5,6,6,3,12,6,6,7,3.5,6.5,6,6.5,7,4,5.5,4.5,5.5,6.5,5,5.5,6,4.5,7.5,9,7.5,6,6.5,7,5,6.5,6.5,5.5,6.5,8,4,8,5.5,4.5,8,6,7,4,4.5,7.5,5.5,10.5,7,9,6,6.5,7.5,6,9.5,7.5,5.5,5.5,5,6.5,7.5,6,6,8,4.5,9,4,6.5,8.5,4.5,7.5,4,3.5,6,7,3,4,8.5,5,5.5,7,5.5,6.5,6,5.5,4.5,6,10,6,6.5,6,6,4.5,7.5,12,3.5,8.5,5.5,8.5,5.5,6,7,5.5,8,10.5,7,10,6.5,5.5,7.5,9.5)
> 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 
-2.81211 -0.69780  0.08612  0.55220  3.28966 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.11742    0.33585   3.327  0.00109 ** 
x            0.46608    0.05048   9.233  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.093 on 157 degrees of freedom
Multiple R-squared: 0.3519,	Adjusted R-squared: 0.3478 
F-statistic: 85.25 on 1 and 157 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/1cs7n1289953317.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/2cs7n1289953317.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 
-9.708e-14  3.358e-16  7.066e-16  7.641e-16  1.557e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.117e+00  2.391e-15 4.673e+14   <2e-16 ***
x           4.661e-01  3.594e-16 1.297e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.784e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.681e+30 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3m1oq1289953317.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2.81211 -0.69780  0.08612  0.55220  3.28966 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.887e-16  3.358e-01  5.62e-16        1
x           -5.127e-17  5.048e-02 -1.02e-15        1

Residual standard error: 1.093 on 157 degrees of freedom
Multiple R-squared: 2.081e-32,	Adjusted R-squared: -0.006369 
F-statistic: 3.267e-30 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4faot1289953317.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.8306 -0.4324 -0.1993  0.4998  2.5971 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  4.113e+00  6.388e-02     64.39   <2e-16 ***
m$residuals -1.167e-15  5.881e-02 -1.98e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.8055 on 157 degrees of freedom
Multiple R-squared: 1.042e-29,	Adjusted R-squared: -0.006369 
F-statistic: 1.635e-27 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/58jnw1289953317.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 
-2.79531 -0.69150  0.08276  0.56580  3.30465 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.014690   0.085983  -0.171    0.865
Residuals   -0.000783   0.080208  -0.010    0.992

Residual standard error: 1.081 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 6.109e-07,	Adjusted R-squared: -0.00641 
F-statistic: 9.529e-05 on 1 and 156 DF,  p-value: 0.9922 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/68jnw1289953317.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/71smz1289953317.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/81smz1289953317.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9bk321289953317.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/107b1s1289953317.tab") 
> try(system("convert tmp/1cs7n1289953317.ps tmp/1cs7n1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/2cs7n1289953317.ps tmp/2cs7n1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/3m1oq1289953317.ps tmp/3m1oq1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/4faot1289953317.ps tmp/4faot1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/58jnw1289953317.ps tmp/58jnw1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/68jnw1289953317.ps tmp/68jnw1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/71smz1289953317.ps tmp/71smz1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/81smz1289953317.ps tmp/81smz1289953317.png",intern=TRUE))
character(0)
> try(system("convert tmp/9bk321289953317.ps tmp/9bk321289953317.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.921   1.449   4.294