R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(96
+ ,91
+ ,108
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> x <- c(83
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> 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 
-3.9720 -1.0551 -0.0011  1.0032  4.9989 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 9.225609   0.294588   31.32   <2e-16 ***
x           1.053936   0.003326  316.84   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.546 on 651 degrees of freedom
Multiple R-squared: 0.9936,	Adjusted R-squared: 0.9935 
F-statistic: 1.004e+05 on 1 and 651 DF,  p-value: < 2.2e-16 

> postscript(file="/var/wessaorg/rcomp/tmp/1s49k1321348225.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/wessaorg/rcomp/tmp/2felw1321348225.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 
-1.903e-14 -4.393e-15  1.470e-16  3.366e-15  9.660e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 9.226e+00  1.175e-15 7.849e+15   <2e-16 ***
x           1.054e+00  1.327e-17 7.941e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.169e-15 on 651 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.306e+33 on 1 and 651 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3hsha1321348225.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-3.9720 -1.0551 -0.0011  1.0032  4.9989 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  1.871e-18  2.946e-01       0        1
x           -1.050e-20  3.326e-03       0        1

Residual standard error: 1.546 on 651 degrees of freedom
Multiple R-squared: 1.905e-34,	Adjusted R-squared: -0.001536 
F-statistic: 1.24e-31 on 1 and 651 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4l2u51321348225.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-38.652 -14.411  -2.818  11.937 106.791 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.006e+02  7.513e-01   133.9   <2e-16 ***
m$residuals -1.166e-16  4.867e-01     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 19.2 on 651 degrees of freedom
Multiple R-squared: 2.567e-31,	Adjusted R-squared: -0.001536 
F-statistic: 1.671e-28 on 1 and 651 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/wessaorg/rcomp/tmp/5rbxr1321348225.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 
-3.8228 -1.0754 -0.0023  1.0519  5.0490 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)  
(Intercept)  0.0008702  0.0603442   0.014   0.9885  
Residuals   -0.0891632  0.0390898  -2.281   0.0229 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.541 on 650 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.007941,	Adjusted R-squared: 0.006415 
F-statistic: 5.203 on 1 and 650 DF,  p-value: 0.02287 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6kjq01321348225.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/76ycr1321348225.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8fl871321348225.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9qis61321348225.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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/10wd2e1321348225.tab") 
> 
> try(system("convert tmp/1s49k1321348225.ps tmp/1s49k1321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/2felw1321348225.ps tmp/2felw1321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/3hsha1321348225.ps tmp/3hsha1321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/4l2u51321348225.ps tmp/4l2u51321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/5rbxr1321348225.ps tmp/5rbxr1321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/6kjq01321348225.ps tmp/6kjq01321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/76ycr1321348225.ps tmp/76ycr1321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/8fl871321348225.ps tmp/8fl871321348225.png",intern=TRUE))
character(0)
> try(system("convert tmp/9qis61321348225.ps tmp/9qis61321348225.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.070   0.456   3.692