R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(14,8,12,7,10,7,16,11,14,6,16,11,16,12,7,13,11,15,7,9,7,14,15,7,15,17,15,14,14,8,8,14,14,8,11,16,10,8,14,16,13,5,8,10,8,13,15,6,12,16,5,15,12,8,13,14,12,16,10,15,8,16,19,14,6,13,15,7,13,4,14,13,11,14,12,15,14,13,8,6,7,13,13,11,5,12,8,11,14,9,10,13,16,16,11,8,4,7,14,11,17,15,17,5,4,10,11,15,10,9,12,15,7,13,12,14,14,8,15,12,12,16,9,15,15,6,14,15,10,6,14,12,8,11,13,9,15,13,15,14,16,14,14,10,10,4,8,15,16,12,12,15,9,12,14,11)
> x <- c(13,12,15,12,10,12,15,9,12,11,11,11,15,7,11,11,10,14,10,6,11,15,11,12,14,15,9,13,13,16,13,12,14,11,9,16,12,10,13,16,14,15,5,8,11,16,17,9,9,13,10,6,12,8,14,12,11,16,8,15,7,16,14,16,9,14,11,13,15,5,15,13,11,11,12,12,12,12,14,6,7,14,14,10,13,12,9,12,16,10,14,10,16,15,12,10,8,8,11,13,16,16,14,11,4,14,9,14,8,8,11,12,11,14,15,16,16,11,14,14,12,14,8,13,16,12,16,12,11,4,16,15,10,13,15,12,14,7,19,12,12,13,15,8,12,10,8,10,15,16,13,16,9,14,14,12)
> 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 
-8.6360 -1.5717  0.1486  1.7402  7.5570 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  3.31441    0.95600   3.467 0.000682 ***
x            0.68811    0.07713   8.922 1.27e-15 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.82 on 154 degrees of freedom
Multiple R-squared: 0.3408,	Adjusted R-squared: 0.3365 
F-statistic:  79.6 on 1 and 154 DF,  p-value: 1.266e-15 

> postscript(file="/var/www/html/rcomp/tmp/1sqtv1289492311.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/html/rcomp/tmp/2sqtv1289492311.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 
-1.851e-15 -8.198e-16 -5.836e-16 -7.496e-17  4.594e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.314e+00  1.531e-15 2.165e+15   <2e-16 ***
x           6.881e-01  1.235e-16 5.571e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.515e-15 on 154 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.104e+31 on 1 and 154 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/32ztg1289492311.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.6360 -1.5717  0.1486  1.7402  7.5570 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.006e-15  9.560e-01  1.05e-15        1
x           -8.503e-17  7.713e-02 -1.10e-15        1

Residual standard error: 2.82 on 154 degrees of freedom
Multiple R-squared: 1.921e-32,	Adjusted R-squared: -0.006494 
F-statistic: 2.959e-30 on 1 and 154 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4d8aj1289492311.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-5.53573 -1.40709 -0.03088  1.34534  4.78587 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.160e+01  1.623e-01     71.48   <2e-16 ***
m$residuals -1.190e-17  5.793e-02 -2.05e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.027 on 154 degrees of freedom
Multiple R-squared: 4.791e-30,	Adjusted R-squared: -0.006494 
F-statistic: 7.378e-28 on 1 and 154 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/html/rcomp/tmp/5n0r41289492311.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 
-8.622 -1.556  0.162  1.873  7.261 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.01101    0.22655  -0.049    0.961
Residuals   -0.05900    0.08061  -0.732    0.465

Residual standard error: 2.82 on 153 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.003489,	Adjusted R-squared: -0.003024 
F-statistic: 0.5357 on 1 and 153 DF,  p-value: 0.4653 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6gr8p1289492311.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7gr8p1289492311.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/89iqs1289492311.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/99iqs1289492311.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/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/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/html/rcomp/tmp/10ns5i1289492311.tab") 
> 
> try(system("convert tmp/1sqtv1289492311.ps tmp/1sqtv1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/2sqtv1289492311.ps tmp/2sqtv1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/32ztg1289492311.ps tmp/32ztg1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/4d8aj1289492311.ps tmp/4d8aj1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/5n0r41289492311.ps tmp/5n0r41289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/6gr8p1289492311.ps tmp/6gr8p1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/7gr8p1289492311.ps tmp/7gr8p1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/89iqs1289492311.ps tmp/89iqs1289492311.png",intern=TRUE))
character(0)
> try(system("convert tmp/99iqs1289492311.ps tmp/99iqs1289492311.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.855   1.399   3.680