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(3,3,4,4,3,4,4,4,4,2,2,4,4,2,2,3,2,4,3,2,2,4,3,4,4,3,3,3,4,4,4,3,4,3,2,4,3,2,4,4,4,4,2,2,3,4,5,2,3,4,4,4,2,2,5,3,2,4,1,4,2,4,4,4,2,4,2,4,4,1,4,4,3,3,3,3,3,3,4,1,3,4,3,3,4,3,2,3,4,3,4,3,4,4,3,2,1,2,2,3,4,4,3,3,1,3,3,4,2,2,3,3,3,4,4,4,4,2,3,4,3,4,2,4,4,3,4,3,3,1,4,4,2,3,4,3,4,2,5,3,4,3,4,2,3,3,2,4,4,3,4,2,4,4,3)
> x <- c(3,3,4,3,3,3,3,2,3,3,3,3,3,2,3,3,2,3,2,1,2,3,3,3,3,3,2,3,3,4,3,3,3,3,2,3,3,3,3,4,3,3,1,2,3,4,4,2,1,3,3,1,3,2,3,3,2,4,1,3,2,4,3,4,3,3,3,3,3,1,3,3,3,2,3,3,3,2,3,2,2,3,3,2,2,3,2,3,4,2,3,2,4,3,3,3,3,2,3,4,4,4,3,3,1,4,1,3,2,2,3,3,2,3,3,4,4,3,3,3,3,3,1,2,4,3,4,3,2,1,4,3,3,3,4,3,3,1,4,2,2,3,3,2,3,3,2,3,4,4,4,2,3,3,3)
> 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 
-2.313014 -0.313014  0.003082  0.686986  2.054795 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.26130    0.22089   5.710 5.70e-08 ***
x            0.68390    0.07584   9.018 7.44e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.736 on 153 degrees of freedom
Multiple R-squared: 0.3471,	Adjusted R-squared: 0.3428 
F-statistic: 81.33 on 1 and 153 DF,  p-value: 7.435e-16 

> postscript(file="/var/www/html/rcomp/tmp/19bdi1289951510.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/2kku31289951510.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 
-7.834e-14  3.831e-16  4.810e-16  4.810e-16  8.998e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.261e+00  1.918e-15 6.575e+14   <2e-16 ***
x           6.839e-01  6.586e-16 1.038e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.392e-15 on 153 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.078e+30 on 1 and 153 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3ccb51289951510.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-2.313014 -0.313014  0.003082  0.686986  2.054795 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  9.096e-17  2.209e-01  4.12e-16        1
x           -2.288e-17  7.584e-02 -3.02e-16        1

Residual standard error: 0.736 on 153 degrees of freedom
Multiple R-squared: 1.582e-33,	Adjusted R-squared: -0.006536 
F-statistic: 2.42e-31 on 1 and 153 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4ccb51289951510.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.2354 -0.5515  0.1324  0.1324  0.8163 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.181e+00  4.310e-02     73.8   <2e-16 ***
m$residuals 2.729e-16  5.894e-02 4.63e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5366 on 153 degrees of freedom
Multiple R-squared: 1.546e-29,	Adjusted R-squared: -0.006536 
F-statistic: 2.365e-27 on 1 and 153 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/5nlt91289951510.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 
-2.292506 -0.335578  0.001032  0.677277  2.041022 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.001998   0.059462   0.034    0.973
Residuals   0.017140   0.081099   0.211    0.833

Residual standard error: 0.7379 on 152 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0002938,	Adjusted R-squared: -0.006283 
F-statistic: 0.04467 on 1 and 152 DF,  p-value: 0.8329 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6yusb1289951510.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7yusb1289951510.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8r39w1289951510.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9r39w1289951510.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/10nv7n1289951510.tab") 
> 
> try(system("convert tmp/19bdi1289951510.ps tmp/19bdi1289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/2kku31289951510.ps tmp/2kku31289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ccb51289951510.ps tmp/3ccb51289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/4ccb51289951510.ps tmp/4ccb51289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/5nlt91289951510.ps tmp/5nlt91289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/6yusb1289951510.ps tmp/6yusb1289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/7yusb1289951510.ps tmp/7yusb1289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/8r39w1289951510.ps tmp/8r39w1289951510.png",intern=TRUE))
character(0)
> try(system("convert tmp/9r39w1289951510.ps tmp/9r39w1289951510.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.871   1.421   4.451