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(8,3,6,9,8,5,7,7,6,0,8,5,3,3,4,5,7,4,5,0,3,6,0,2,4,3,5,9,5,4,3,7,3,4,6,5,1,10,7,3,8,6,7,6,5,6,3,2,5,3,3,4,8,3,6,5,6,5,2,2,3,10,3,5,5,1,2,2,2,8,2,0,3,5,6,4,3,1,1,1,6,6,5,10,11,7,4,9,3,4,1,10,5,3,0,10,1,3,4,11,0,4,7,6,2,1,3,3,9,6,2,3,3,4,3,7,5,5,3,2,2,6,9,4,8,3,3,5,1,5,3,0,1,0,2,0,3,0,1,3,2,3,0,3,0,0,1,3,1,0,0,4,2,0,0,0)
> x <- c(10,9,12,12,9,11,12,11,12,12,11,11,12,6,13,11,12,10,11,12,12,12,11,12,12,12,6,5,12,14,12,9,11,11,11,12,10,12,11,12,9,15,11,11,15,12,9,12,9,11,12,11,6,10,12,13,11,10,11,7,11,11,7,12,14,11,12,11,12,12,12,12,15,11,13,10,12,13,14,11,11,7,11,12,12,10,12,8,7,11,11,11,9,12,13,9,11,12,9,12,12,12,14,11,12,8,12,12,12,11,11,12,10,13,8,12,11,10,13,10,10,7,10,8,12,12,12,11,13,12,8,11,12,13,12,10,12,10,13,11,12,12,10,11,11,11,8,11,12,11,12,12,12,8,12,11)
> 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 
-4.4504 -1.8575 -0.5798  1.9943  7.1425 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   5.6361     1.3940   4.043 8.31e-05 ***
x            -0.1482     0.1247  -1.189    0.236    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.748 on 154 degrees of freedom
Multiple R-squared: 0.00909,	Adjusted R-squared: 0.002656 
F-statistic: 1.413 on 1 and 154 DF,  p-value: 0.2364 

> postscript(file="/var/www/html/rcomp/tmp/1q3ii1291923612.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/2q3ii1291923612.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 
-2.892e-15 -8.318e-16 -3.634e-16 -8.932e-17  7.080e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  5.636e+00  2.912e-15  1.935e+15   <2e-16 ***
x           -1.482e-01  2.605e-16 -5.689e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.742e-15 on 154 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.237e+29 on 1 and 154 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3t3z51291923612.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.4504 -1.8575 -0.5798  1.9943  7.1425 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.383e-15  1.394e+00 -9.92e-16        1
x            7.052e-17  1.247e-01  5.66e-16        1

Residual standard error: 2.748 on 154 degrees of freedom
Multiple R-squared: 1.93e-32,	Adjusted R-squared: -0.006494 
F-statistic: 2.972e-30 on 1 and 154 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4t3z51291923612.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.587173 -0.142518  0.005701  0.153919  0.895012 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 4.000e+00  2.108e-02    189.8   <2e-16 ***
m$residuals 2.376e-16  7.718e-03 3.08e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2632 on 154 degrees of freedom
Multiple R-squared: 1.017e-28,	Adjusted R-squared: -0.006494 
F-statistic: 1.566e-26 on 1 and 154 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/54uy81291923612.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 
-5.2934 -1.9157 -0.2674  1.4554  7.2347 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept) -0.03012    0.21539  -0.140   0.8890  
Residuals    0.20526    0.07917   2.593   0.0104 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.681 on 153 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.04208,	Adjusted R-squared: 0.03582 
F-statistic: 6.722 on 1 and 153 DF,  p-value: 0.01045 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6flxt1291923612.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7flxt1291923612.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8pdxw1291923612.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9pdxw1291923612.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/1035c51291923612.tab") 
> 
> try(system("convert tmp/1q3ii1291923612.ps tmp/1q3ii1291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/2q3ii1291923612.ps tmp/2q3ii1291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/3t3z51291923612.ps tmp/3t3z51291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/4t3z51291923612.ps tmp/4t3z51291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/54uy81291923612.ps tmp/54uy81291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/6flxt1291923612.ps tmp/6flxt1291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/7flxt1291923612.ps tmp/7flxt1291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/8pdxw1291923612.ps tmp/8pdxw1291923612.png",intern=TRUE))
character(0)
> try(system("convert tmp/9pdxw1291923612.ps tmp/9pdxw1291923612.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.917   1.551   7.781