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(-1,0,1,2,2,2,4.5,-1,0,0,1,1,1,2,2,3.5,-3,-2,-1,-1,-1,0,0,0,1,1,1,1,-3,-2,-1,-1,0,-3,-2)
> x <- c(4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,8,8)
> 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 
-2.7683 -0.7177  0.2654  0.8161  2.7654 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)    5.904      1.142   5.168 1.12e-05 ***
x             -1.034      0.200  -5.170 1.12e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.332 on 33 degrees of freedom
Multiple R-squared: 0.4475,	Adjusted R-squared: 0.4307 
F-statistic: 26.72 on 1 and 33 DF,  p-value: 1.119e-05 

> postscript(file="/var/www/html/rcomp/tmp/1um4s1272538218.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/2ndmv1272538218.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 
-1.743e-15 -9.053e-17  1.038e-16  1.938e-16  4.158e-16 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  5.903e+00  3.998e-16  1.477e+16   <2e-16 ***
x           -1.034e+00  6.999e-17 -1.477e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.663e-16 on 33 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.182e+32 on 1 and 33 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3ndmv1272538218.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.7683 -0.7177  0.2654  0.8161  2.7654 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.047e-15  1.142e+00  9.16e-16        1
x           -1.333e-16  2.000e-01 -6.67e-16        1

Residual standard error: 1.332 on 33 degrees of freedom
Multiple R-squared: 3.155e-32,	Adjusted R-squared: -0.0303 
F-statistic: 1.041e-30 on 1 and 33 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4gmly1272538218.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.4811 -0.4135 -0.4135  0.6203  1.6541 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)
(Intercept) 1.143e-01  2.027e-01    0.564    0.577
m$residuals 2.031e-16  1.567e-01 1.30e-15    1.000

Residual standard error: 1.199 on 33 degrees of freedom
Multiple R-squared: 1.716e-31,	Adjusted R-squared: -0.0303 
F-statistic: 5.664e-30 on 1 and 33 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/5rv2i1272538218.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 
-3.3629 -0.5989  0.1396  0.7917  2.5995 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.08368    0.21037   0.398    0.693
Residuals    0.20918    0.16043   1.304    0.202

Residual standard error: 1.227 on 32 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.05045,	Adjusted R-squared: 0.02077 
F-statistic:   1.7 on 1 and 32 DF,  p-value: 0.2016 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/61nj31272538218.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/71nj31272538218.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8uej61272538218.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9uej61272538218.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/10qogf1272538218.tab") 
> 
> try(system("convert tmp/1um4s1272538218.ps tmp/1um4s1272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ndmv1272538218.ps tmp/2ndmv1272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ndmv1272538218.ps tmp/3ndmv1272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/4gmly1272538218.ps tmp/4gmly1272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/5rv2i1272538218.ps tmp/5rv2i1272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/61nj31272538218.ps tmp/61nj31272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/71nj31272538218.ps tmp/71nj31272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/8uej61272538218.ps tmp/8uej61272538218.png",intern=TRUE))
character(0)
> try(system("convert tmp/9uej61272538218.ps tmp/9uej61272538218.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.759   1.306   2.306