R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(12,13,14,12,17,14,20,11,12,13,12,10,15,14,12,14,14,13,12,13,9,14,12,16,11,11,13,15,16,13,11,15,12,11,13,10,18,14,12,10,11,16,10,14,11,13,9,11,17,13,10,14,20,14,13,12,13,11,12,15,18,14,14,12,13,11,15,14,13,14,13,15,13,12,13,21,13,15,15,11,13,12,11,14,14,15,13,14,13,22,15,15,13,13,12,13,16,13,13,12,12,18,12,13,18,19,13,14,13,22,14,15,11,17,14,12,12,15,11,17,15,14,13,10,13,11,10,12,13,13,11,20,12,15,14,16,21,14,16,13,14,10,16,12,12,13,14,13,13,21,14,15,11,14,15,16,15,14,13,11,18,18)
> x <- c(10,12,11,10,12,12,14,14,11,11,13,11,10,10,14,14,12,11,10,12,10,11,14,12,13,13,12,14,13,11,12,13,11,11,14,12,13,11,13,13,13,12,14,14,8,13,13,11,13,13,10,10,13,12,16,13,12,11,12,12,14,13,13,12,13,12,13,14,13,13,12,10,13,11,11,16,13,11,15,13,13,12,11,12,13,12,13,12,13,15,13,11,11,14,15,12,10,12,11,11,11,14,14,13,13,13,12,15,12,16,13,15,11,14,14,10,12,12,12,14,10,10,13,13,13,11,11,13,13,13,13,13,13,13,13,14,13,14,11,13,11,11,16,8,11,14,12,13,14,13,12,13,14,14,11,15,11,14,13,15,14,13)
> 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 
-4.9980 -1.5360 -0.4221  1.1538  7.0020 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   6.5110     1.5965   4.078 7.13e-05 ***
x             0.5759     0.1273   4.526 1.17e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.408 on 160 degrees of freedom
Multiple R-squared: 0.1135,	Adjusted R-squared: 0.1079 
F-statistic: 20.48 on 1 and 160 DF,  p-value: 1.169e-05 

> postscript(file="/var/www/rcomp/tmp/1sgvd1289748672.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/rcomp/tmp/2sgvd1289748672.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 
-1.331e-15 -3.849e-16  1.173e-16  4.458e-16  1.418e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 6.511e+00  3.479e-16 1.871e+16   <2e-16 ***
x           5.759e-01  2.773e-17 2.077e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.249e-16 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.312e+32 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3lpcg1289748672.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4.9980 -1.5360 -0.4221  1.1538  7.0020 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -4.702e-16  1.596e+00 -2.95e-16        1
x            4.197e-17  1.273e-01  3.30e-16        1

Residual standard error: 2.408 on 160 degrees of freedom
Multiple R-squared: 6.929e-34,	Adjusted R-squared: -0.00625 
F-statistic: 1.109e-31 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4vzu11289748672.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-2.5668 -0.8390  0.3129  0.3129  2.0406 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.369e+01  6.770e-02     202.1   <2e-16 ***
m$residuals -6.954e-17  2.829e-02 -2.46e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.8617 on 160 degrees of freedom
Multiple R-squared: 1.07e-29,	Adjusted R-squared: -0.00625 
F-statistic: 1.712e-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/www/rcomp/tmp/5o8b41289748672.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 
-5.0097 -1.5738 -0.4263  1.1421  7.0152 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.001422   0.190405   0.007    0.994
Residuals   -0.010305   0.079995  -0.129    0.898

Residual standard error: 2.416 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0001044,	Adjusted R-squared: -0.006184 
F-statistic: 0.0166 on 1 and 159 DF,  p-value: 0.8977 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6o8b41289748672.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7zha71289748672.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8zha71289748672.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9zha71289748672.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/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/105i711289748672.tab") 
> 
> try(system("convert tmp/1sgvd1289748672.ps tmp/1sgvd1289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/2sgvd1289748672.ps tmp/2sgvd1289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/3lpcg1289748672.ps tmp/3lpcg1289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/4vzu11289748672.ps tmp/4vzu11289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/5o8b41289748672.ps tmp/5o8b41289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/6o8b41289748672.ps tmp/6o8b41289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/7zha71289748672.ps tmp/7zha71289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/8zha71289748672.ps tmp/8zha71289748672.png",intern=TRUE))
character(0)
> try(system("convert tmp/9zha71289748672.ps tmp/9zha71289748672.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.970   1.660   4.598