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(20,5,20,6,40,7,40,50,50,55,55,22,44,44,15,44,16,55,17,55,18,0,50,70,52,55,55,56,68,60,60,60,60,60,62,64,66,69,70,88,77,75,73,74,74,75,75,76,90,33,50,90,90,79,77,79,83,93,90)
> x <- c(5,5,6,6,7,7,8,9,10,11,12,13,14,15,15,16,16,17,17,18,18,50,50,51,52,53,54,55,56,57,58,59,60,61,66,70,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,77,78,78,78,79,80,80,81)
> 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 
-56.512  -5.926   1.312  11.775  24.775 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  22.8110     3.9826   5.728 4.00e-07 ***
x             0.6740     0.0714   9.440 2.98e-13 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 15.55 on 57 degrees of freedom
Multiple R-squared: 0.6099,	Adjusted R-squared: 0.603 
F-statistic: 89.11 on 1 and 57 DF,  p-value: 2.98e-13 

> postscript(file="/var/wessaorg/rcomp/tmp/1frd41323120183.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/2j7531323120183.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 
-5.077e-15 -3.012e-15 -2.580e-16  1.981e-15  1.258e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.281e+01  9.921e-16 2.299e+16   <2e-16 ***
x           6.740e-01  1.779e-17 3.789e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.873e-15 on 57 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.436e+33 on 1 and 57 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3ckwb1323120183.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-56.512  -5.926   1.312  11.775  24.775 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  1.350e-15  3.983e+00       0        1
x           -1.960e-17  7.140e-02       0        1

Residual standard error: 15.55 on 57 degrees of freedom
Multiple R-squared: 1.632e-33,	Adjusted R-squared: -0.01754 
F-statistic: 9.304e-32 on 1 and 57 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4scir1323120183.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-29.005 -21.928   6.043  17.502  22.220 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  5.519e+01  2.531e+00    21.8   <2e-16 ***
m$residuals -1.380e-16  1.656e-01     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 19.44 on 57 degrees of freedom
Multiple R-squared: 1.476e-31,	Adjusted R-squared: -0.01754 
F-statistic: 8.416e-30 on 1 and 57 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/5a6ui1323120183.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 
-55.028  -4.726   1.076  12.397  22.703 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.12722    2.04785   0.062    0.951
Residuals    0.09509    0.13363   0.712    0.480

Residual standard error: 15.59 on 56 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.008961,	Adjusted R-squared: -0.008737 
F-statistic: 0.5063 on 1 and 56 DF,  p-value: 0.4797 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6g86o1323120183.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7komj1323120183.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8b31r1323120183.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9vevf1323120183.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/10m1iy1323120183.tab") 
> 
> try(system("convert tmp/1frd41323120183.ps tmp/1frd41323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/2j7531323120183.ps tmp/2j7531323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ckwb1323120183.ps tmp/3ckwb1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/4scir1323120183.ps tmp/4scir1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/5a6ui1323120183.ps tmp/5a6ui1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/6g86o1323120183.ps tmp/6g86o1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/7komj1323120183.ps tmp/7komj1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/8b31r1323120183.ps tmp/8b31r1323120183.png",intern=TRUE))
character(0)
> try(system("convert tmp/9vevf1323120183.ps tmp/9vevf1323120183.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.492   0.427   2.945