R version 2.15.2 (2012-10-26) -- "Trick or Treat"
Copyright (C) 2012 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i686-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(53,86,66,67,76,78,53,80,74,76,79,54,67,54,87,58,75,88,64,57,66,68,54,56,86,80,76,69,78,67,80,54,71,84,74,71,63,71,76,69,74,75,54,52,69,68,65,75,74,75,72,67,63,62,63,76,74,67,73,70,53,77,77,52,54,80,66,73,63,69,67,54,81,69,84,80,70,69,77,54,79,30,71,73,72,77,75,69,54,70,73,54,77,82,80,80,69,78,81,76,76,73,85,66,79,68,76,71,54,46,82,74,88,38,76,86,54,70,69,90,54,76,89,76,73,79,90,74,81,72,71,66,77,65,74,82,54,63,54,64,69,54,84,86,77,89,76,60,75,73,85,79,71,72,69,78,54,69,81,84,84,69)
> 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 
-43.282  -3.713   1.408   6.641  19.339 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  52.3177     4.9453   10.58  < 2e-16 ***
x             1.3103     0.3475    3.77 0.000229 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 10.31 on 160 degrees of freedom
Multiple R-squared: 0.08158,	Adjusted R-squared: 0.07584 
F-statistic: 14.21 on 1 and 160 DF,  p-value: 0.0002293 

> postscript(file="/var/wessaorg/rcomp/tmp/1m0fw1355491195.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/20unn1355491195.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 
-6.884e-14 -3.077e-15  1.997e-15  3.457e-15  9.388e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 5.232e+01  3.188e-15 1.641e+16   <2e-16 ***
x           1.310e+00  2.240e-16 5.848e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.645e-15 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.42e+31 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3oasz1355491195.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-43.282  -3.713   1.408   6.641  19.339 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.046e-17  4.945e+00       0        1
x           1.120e-17  3.475e-01       0        1

Residual standard error: 10.31 on 160 degrees of freedom
Multiple R-squared: 4.286e-34,	Adjusted R-squared: -0.00625 
F-statistic: 6.858e-32 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/44azq1355491195.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-9.2204 -1.3588 -0.0485  2.5720  6.5028 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 7.071e+01  2.414e-01   292.9   <2e-16 ***
m$residuals 1.069e-16  2.356e-02     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.072 on 160 degrees of freedom
Multiple R-squared: 3.423e-29,	Adjusted R-squared: -0.00625 
F-statistic: 5.477e-27 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/wessaorg/rcomp/tmp/5l39j1355491195.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 
-43.189  -3.946   1.270   6.510  19.181 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.10976    0.80709   0.136    0.892
Residuals   -0.02890    0.07854  -0.368    0.713

Residual standard error: 10.24 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0008508,	Adjusted R-squared: -0.005433 
F-statistic: 0.1354 on 1 and 159 DF,  p-value: 0.7134 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6bo0c1355491195.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7riuf1355491195.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8mamu1355491195.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9z2z41355491195.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/10eocm1355491195.tab") 
> 
> try(system("convert tmp/1m0fw1355491195.ps tmp/1m0fw1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/20unn1355491195.ps tmp/20unn1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/3oasz1355491195.ps tmp/3oasz1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/44azq1355491195.ps tmp/44azq1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/5l39j1355491195.ps tmp/5l39j1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/6bo0c1355491195.ps tmp/6bo0c1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/7riuf1355491195.ps tmp/7riuf1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/8mamu1355491195.ps tmp/8mamu1355491195.png",intern=TRUE))
character(0)
> try(system("convert tmp/9z2z41355491195.ps tmp/9z2z41355491195.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
 10.184   1.884  12.175