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(4,5,2,4,2,4,4,4,5,5,5,3,4,4,5,5,2,4,5,4,5,2,4,4,3,5,5,3,4,4,3,2,4,4,4,4,4,4,3,4,4,4,4,3,4,4,4,3,4,4,4)
> x <- c(4,5,4,2,4,4,4,3,3,4,5,3,4,4,2,4,4,4,3,4,4,3,4,4,3,4,4,2,4,4,2,1,4,2,3,3,3,4,3,4,3,4,4,3,4,2,5,3,3,4,4)
> 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 
-2.02134 -0.17689 -0.02134  0.44530  1.60085 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   2.7769     0.4825   5.756 5.55e-07 ***
x             0.3111     0.1343   2.316   0.0248 *  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.8142 on 49 degrees of freedom
Multiple R-squared: 0.09868,	Adjusted R-squared: 0.08028 
F-statistic: 5.365 on 1 and 49 DF,  p-value: 0.02478 

> postscript(file="/var/www/html/rcomp/tmp/1w1nf1289828068.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/2w1nf1289828068.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 
-1.221e-14  2.897e-17  2.808e-16  2.808e-16  1.842e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.777e+00  1.057e-15 2.626e+15   <2e-16 ***
x           3.111e-01  2.944e-16 1.057e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.785e-15 on 49 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.117e+30 on 1 and 49 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3psm01289828068.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2.02134 -0.17689 -0.02134  0.44530  1.60085 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.918e-16  4.825e-01 -3.97e-16        1
x            5.495e-17  1.343e-01  4.09e-16        1

Residual standard error: 0.8142 on 49 degrees of freedom
Multiple R-squared: 1.924e-33,	Adjusted R-squared: -0.02041 
F-statistic: 9.428e-32 on 1 and 49 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4i1331289828068.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.7747 -0.1525  0.1586  0.1586  0.4697 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.863e+00  3.772e-02    102.4   <2e-16 ***
m$residuals 3.896e-17  4.727e-02 8.24e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.2694 on 49 degrees of freedom
Multiple R-squared: 2.052e-30,	Adjusted R-squared: -0.02041 
F-statistic: 1.005e-28 on 1 and 49 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/5as261289828068.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 
-1.95719 -0.26103 -0.02411  0.37570  1.59809 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.0004728  0.1156623   0.004    0.997
Residuals   -0.1075607  0.1435002  -0.750    0.457

Residual standard error: 0.8179 on 48 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01157,	Adjusted R-squared: -0.009023 
F-statistic: 0.5618 on 1 and 48 DF,  p-value: 0.4572 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6as261289828068.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7as261289828068.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8l2k81289828068.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9wtjb1289828068.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/10a3zk1289828068.tab") 
> 
> try(system("convert tmp/1w1nf1289828068.ps tmp/1w1nf1289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/2w1nf1289828068.ps tmp/2w1nf1289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/3psm01289828068.ps tmp/3psm01289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/4i1331289828068.ps tmp/4i1331289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/5as261289828068.ps tmp/5as261289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/6as261289828068.ps tmp/6as261289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/7as261289828068.ps tmp/7as261289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/8l2k81289828068.ps tmp/8l2k81289828068.png",intern=TRUE))
character(0)
> try(system("convert tmp/9wtjb1289828068.ps tmp/9wtjb1289828068.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.840   1.379   2.366