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(3,4,4,2,5,5,5,2,4,3,4,4,3,5,2,2,3,2,2,4,2,5,5,2,5,5,4,4,4,3,4,2,4,3,2,2,1,2,4,2,4,2,3,4,4,4,2,3,3,3,3,2,3,4,5,5)
> x <- c(5,4,3,4,4,3,4,4,4,4,4,5,4,4,4,4,4,5,5,3,4,4,4,5,5,2,4,4,2,4,5,3,4,4,4,4,3,5,4,4,5,4,5,4,2,5,4,4,4,4,4,4,4,4,2,4)
> 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 
-2.651007 -1.004474 -0.004474  0.753076  1.995526 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   4.6208     0.7968   5.799 3.57e-07 ***
x            -0.3233     0.1974  -1.637    0.107    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.116 on 54 degrees of freedom
Multiple R-squared: 0.04729,	Adjusted R-squared: 0.02965 
F-statistic:  2.68 on 1 and 54 DF,  p-value: 0.1074 

> postscript(file="/var/www/html/rcomp/tmp/11zjs1289827814.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/21zjs1289827814.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 
-1.078e-15 -4.004e-16 -4.004e-16 -4.004e-16  1.830e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  4.621e+00  1.840e-15  2.511e+15   <2e-16 ***
x           -3.233e-01  4.560e-16 -7.089e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.577e-15 on 54 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.025e+29 on 1 and 54 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3b80c1289827814.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-2.651007 -1.004474 -0.004474  0.753076  1.995526 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.077e-16  7.968e-01 -2.61e-16        1
x            5.894e-17  1.974e-01  2.99e-16        1

Residual standard error: 1.116 on 54 degrees of freedom
Multiple R-squared: 2.678e-33,	Adjusted R-squared: -0.01852 
F-statistic: 1.446e-31 on 1 and 54 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/44i0y1289827814.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.33481 -0.01155 -0.01155 -0.01155  0.63499 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  3.339e+00  3.322e-02     100.5   <2e-16 ***
m$residuals -1.100e-17  3.032e-02 -3.63e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2486 on 54 degrees of freedom
Multiple R-squared: 1.179e-28,	Adjusted R-squared: -0.01852 
F-statistic: 6.364e-27 on 1 and 54 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/5f9h01289827814.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 
-2.6047796 -1.0296372  0.0005641  0.8416778  2.0302138 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.001167   0.151819   0.008    0.994
Residuals   0.035695   0.140280   0.254    0.800

Residual standard error: 1.125 on 53 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.00122,	Adjusted R-squared: -0.01762 
F-statistic: 0.06475 on 1 and 53 DF,  p-value: 0.8001 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6f9h01289827814.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/77iy31289827814.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/87iy31289827814.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/97iy31289827814.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/100ku31289827814.tab") 
> 
> try(system("convert tmp/11zjs1289827814.ps tmp/11zjs1289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/21zjs1289827814.ps tmp/21zjs1289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/3b80c1289827814.ps tmp/3b80c1289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/44i0y1289827814.ps tmp/44i0y1289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/5f9h01289827814.ps tmp/5f9h01289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/6f9h01289827814.ps tmp/6f9h01289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/77iy31289827814.ps tmp/77iy31289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/87iy31289827814.ps tmp/87iy31289827814.png",intern=TRUE))
character(0)
> try(system("convert tmp/97iy31289827814.ps tmp/97iy31289827814.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.800   1.362   2.479