R version 2.12.1 (2010-12-16)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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(41,39,30,31,34,35,39,34,36,37,38,36,38,39,33,32,36,38,39,32,32,31,39,37,39,41,36,33,33,34,31,27,37,34,34,32,29,36,29,35,37,34,38,35,38,37,38,33,36,38,32,32,32,34,32,37,39,29,37,35,30,38,34,31,34,35,36,30,39,35,38,31,34,38,34,39,37,34,28,37,33,37,35,37,32,33,38,33,29,33,31,36,35,32,29,39,37,35,37,32,38,37,36,32,33,40,38,41,36,43,30,31,32,32,37,37,33,34,33,38,33,31,38,37,33,31,39,44,33,35,32,28,40,27,37,32,28,34,30,35,31,32,30,30,31,40,32,36,32,35,38,42,34,35,35,33,36,32,33,34,32,34)
> x <- c(14,18,11,12,16,18,14,14,15,15,17,19,10,16,18,14,14,17,14,16,18,11,14,12,17,9,16,14,15,11,16,13,17,15,14,16,9,15,17,13,15,16,16,12,12,11,15,15,17,13,16,14,11,12,12,15,16,15,12,12,8,13,11,14,15,10,11,12,15,15,14,16,15,15,13,12,17,13,15,13,15,16,15,16,15,14,15,14,13,7,17,13,15,14,13,16,12,14,17,15,17,12,16,11,15,9,16,15,10,10,15,11,13,14,18,16,14,14,14,14,12,14,15,15,15,13,17,17,19,15,13,9,15,15,15,16,11,14,11,15,13,15,16,14,15,16,16,11,12,9,16,13,16,12,9,13,13,14,19,13,12,13)
> par1 = '0'
> 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 
-7.8219 -2.6158 -0.0857  2.7221  9.2083 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   31.731      1.608  19.739   <2e-16 ***
x              0.206      0.113   1.824   0.0701 .  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.351 on 160 degrees of freedom
Multiple R-squared: 0.02036,	Adjusted R-squared: 0.01424 
F-statistic: 3.326 on 1 and 160 DF,  p-value: 0.07007 

> postscript(file="/var/www/rcomp/tmp/14wy41321372543.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/www/rcomp/tmp/2frl51321372543.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 
-4.481e-15 -2.228e-15 -5.253e-16  1.237e-15  3.075e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.173e+01  9.843e-16 3.224e+16   <2e-16 ***
x           2.060e-01  6.918e-17 2.978e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.052e-15 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 8.87e+30 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3ddgg1321372543.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-7.8219 -2.6158 -0.0857  2.7221  9.2083 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.129e-16  1.608e+00       0        1
x            5.768e-18  1.130e-01       0        1

Residual standard error: 3.351 on 160 degrees of freedom
Multiple R-squared: 8.08e-35,	Adjusted R-squared: -0.00625 
F-statistic: 1.293e-32 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/411kk1321372543.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.44983 -0.21366 -0.00763  0.40443  1.02251 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 3.462e+01  3.796e-02   912.2   <2e-16 ***
m$residuals 5.381e-17  1.140e-02     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.4831 on 160 degrees of freedom
Multiple R-squared: 3.907e-28,	Adjusted R-squared: -0.00625 
F-statistic: 6.251e-26 on 1 and 160 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/rcomp/tmp/5rvy81321372543.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 
-7.9401 -2.5265 -0.0675  2.7022  9.1807 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.03973    0.26176  -0.152    0.880
Residuals    0.03050    0.07836   0.389    0.698

Residual standard error: 3.321 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0009519,	Adjusted R-squared: -0.005331 
F-statistic: 0.1515 on 1 and 159 DF,  p-value: 0.6976 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6a8yf1321372543.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7fc811321372543.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/88hjd1321372543.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9eihu1321372543.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/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/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/rcomp/tmp/10a3zn1321372543.tab") 
> 
> try(system("convert tmp/14wy41321372543.ps tmp/14wy41321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/2frl51321372543.ps tmp/2frl51321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ddgg1321372543.ps tmp/3ddgg1321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/411kk1321372543.ps tmp/411kk1321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/5rvy81321372543.ps tmp/5rvy81321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/6a8yf1321372543.ps tmp/6a8yf1321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/7fc811321372543.ps tmp/7fc811321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/88hjd1321372543.ps tmp/88hjd1321372543.png",intern=TRUE))
character(0)
> try(system("convert tmp/9eihu1321372543.ps tmp/9eihu1321372543.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.384   0.532   4.941