R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(13,12,15,12,10,12,15,9,12,11,11,11,15,7,11,11,10,14,10,6,11,15,11,12,14,15,9,13,13,16,13,12,14,11,9,16,12,10,13,16,14,15,5,8,11,16,17,9,9,13,10,6,12,8,14,12,11,16,8,15,7,16,14,16,9,14,11,13,15,5,15,13,11,11,12,12,12,12,14,6,7,14,14,10,13,12,9,12,16,10,14,10,16,15,12,10,8,8,11,13,16,16,14,11,4,14,9,14,8,8,11,12,11,14,15,16,16,11,14,14,12,14,8,13,16,12,16,12,11,4,16,15,10,13,15,12,14,7,19,12,12,13,15,8,12,10,8,10,15,16,13,16,9,14,14,12)
> x <- c(5,3,0,7,4,1,6,3,12,0,5,6,6,6,2,1,5,7,3,3,3,7,8,6,3,5,5,10,2,6,4,6,8,4,5,10,6,7,4,10,4,3,3,3,3,7,15,0,0,4,5,5,2,3,0,9,2,7,7,0,0,10,2,1,8,6,11,3,8,6,9,9,8,8,7,6,5,4,6,3,2,12,8,5,9,6,5,2,4,7,5,6,7,8,6,0,1,5,5,5,7,7,1,3,4,8,6,6,2,2,3,3,0,2,8,8,0,5,9,6,6,3,9,7,8,0,7,0,5,0,14,5,2,8,4,2,6,3,5,9,3,3,0,10,4,2,3,10,7,0,6,8,0,4,10,5)
> 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 
-7.7671 -1.7914  0.1844  2.1359  6.9586 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 10.67013    0.42881   24.88  < 2e-16 ***
x            0.27425    0.07274    3.77 0.000232 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.819 on 154 degrees of freedom
Multiple R-squared: 0.08451,	Adjusted R-squared: 0.07857 
F-statistic: 14.22 on 1 and 154 DF,  p-value: 0.0002318 

> postscript(file="/var/www/html/rcomp/tmp/1ytxt1292840602.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/292xx1292840602.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 
-5.015e-15 -1.746e-15 -1.028e-15 -7.305e-16  1.874e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.067e+01  2.307e-15 4.625e+15   <2e-16 ***
x           2.742e-01  3.913e-16 7.008e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.517e-14 on 154 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.911e+29 on 1 and 154 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/392xx1292840602.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-7.7671 -1.7914  0.1844  2.1359  6.9586 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -8.215e-18  4.288e-01 -1.92e-17        1
x            2.292e-17  7.274e-02  3.15e-16        1

Residual standard error: 2.819 on 154 degrees of freedom
Multiple R-squared: 2.361e-33,	Adjusted R-squared: -0.006494 
F-statistic: 3.635e-31 on 1 and 154 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/41beh1292840602.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-1.374745 -0.552008 -0.003516  0.544976  2.738943 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.204e+01  6.857e-02    175.7   <2e-16 ***
m$residuals 1.904e-16  2.448e-02 7.78e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.8565 on 154 degrees of freedom
Multiple R-squared: 2.93e-29,	Adjusted R-squared: -0.006494 
F-statistic: 4.512e-27 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/5ckvk1292840602.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 
-7.80151 -1.80545  0.02104  2.20078  6.59505 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.006163   0.226302  -0.027    0.978
Residuals   -0.082299   0.080540  -1.022    0.308

Residual standard error: 2.817 on 153 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.006778,	Adjusted R-squared: 0.0002866 
F-statistic: 1.044 on 1 and 153 DF,  p-value: 0.3085 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/65ccn1292840602.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/75ccn1292840602.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8xltq1292840602.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9xltq1292840602.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/10bd9h1292840602.tab") 
> 
> try(system("convert tmp/1ytxt1292840602.ps tmp/1ytxt1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/292xx1292840602.ps tmp/292xx1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/392xx1292840602.ps tmp/392xx1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/41beh1292840602.ps tmp/41beh1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ckvk1292840602.ps tmp/5ckvk1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/65ccn1292840602.ps tmp/65ccn1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/75ccn1292840602.ps tmp/75ccn1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/8xltq1292840602.ps tmp/8xltq1292840602.png",intern=TRUE))
character(0)
> try(system("convert tmp/9xltq1292840602.ps tmp/9xltq1292840602.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.890   1.456   7.981