R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(26,23,25,23,19,29,25,21,22,25,24,18,22,15,22,28,20,12,24,20,21,20,21,23,28,24,24,24,23,23,29,24,18,25,21,26,22,22,22,23,30,23,17,23,23,25,24,24,23,21,24,24,28,16,20,29,27,22,28,16,25,24,28,24,23,30,24,21,25,25,22,23,26,23,25,21,25,24,29,22,27,26,22,24,27,24,24,29,22,21,24,24,23,20,27,26,25,21,21,19,21,21,16,22,29,15,17,15,21,21,19,24,20,17,23,24,14,19,24,13,22,16,19,25,25,23,24,26,26,25,18,21,26,23,23,22,20,13,24,15,14,22,10,24,22,24,19,20,13,20,22,24,29,12,20,21,24,22,20)
> x <- c(11,7,17,10,12,12,11,11,12,13,14,16,11,10,11,15,9,11,17,17,11,18,14,10,11,15,15,13,16,13,9,18,18,12,17,9,9,12,18,12,18,14,15,16,10,11,14,9,12,17,5,12,12,6,24,12,12,14,7,13,12,13,14,8,11,9,11,13,10,11,12,9,15,18,15,12,13,14,10,13,13,11,13,16,8,16,11,9,16,12,14,8,9,15,11,21,14,18,12,13,15,12,19,15,11,11,10,13,15,12,12,16,9,18,8,13,17,9,15,8,7,12,14,6,8,17,10,11,14,11,13,12,11,9,12,20,12,13,12,12,9,15,24,7,17,11,17,11,12,14,11,16,21,14,20,13,11,15,19)
> 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 
-10.6591  -1.4835   0.3409   2.2188   8.5700 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 24.59049    1.18905  20.681   <2e-16 ***
x           -0.17558    0.08936  -1.965   0.0512 .  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 3.87 on 157 degrees of freedom
Multiple R-squared: 0.024,	Adjusted R-squared: 0.01778 
F-statistic: 3.861 on 1 and 157 DF,  p-value: 0.05119 

> postscript(file="/var/www/html/freestat/rcomp/tmp/14dz01289961957.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/freestat/rcomp/tmp/24dz01289961957.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 
-1.695e-15 -8.600e-16 -4.624e-16  2.434e-16  2.823e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  2.459e+01  7.467e-16  3.293e+16   <2e-16 ***
x           -1.756e-01  5.611e-17 -3.129e+15   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 2.43e-15 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 9.791e+30 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3fmg31289961957.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-10.6591  -1.4835   0.3409   2.2188   8.5700 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.255e-16  1.189e+00  1.06e-16        1
x           -2.936e-18  8.936e-02 -3.29e-17        1

Residual standard error: 3.87 on 157 degrees of freedom
Multiple R-squared: 1.559e-34,	Adjusted R-squared: -0.006369 
F-statistic: 2.448e-32 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/47vfn1289961957.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.9568 -0.3766  0.1502  0.3258  1.3793 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.233e+01  4.813e-02      464   <2e-16 ***
m$residuals 2.922e-17  1.252e-02 2.33e-15        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.6069 on 157 degrees of freedom
Multiple R-squared: 7.858e-30,	Adjusted R-squared: -0.006369 
F-statistic: 1.234e-27 on 1 and 157 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/freestat/rcomp/tmp/50nwq1289961957.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 
-10.9671  -1.4021   0.3611   2.2385   8.5373 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.02199    0.30640  -0.072    0.943
Residuals    0.10582    0.07945   1.332    0.185

Residual standard error: 3.851 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01124,	Adjusted R-squared: 0.004905 
F-statistic: 1.774 on 1 and 156 DF,  p-value: 0.1848 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/60nwq1289961957.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/70nwq1289961957.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8bewt1289961957.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9bewt1289961957.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/1076tk1289961957.tab") 
> 
> try(system("convert tmp/14dz01289961957.ps tmp/14dz01289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/24dz01289961957.ps tmp/24dz01289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/3fmg31289961957.ps tmp/3fmg31289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/47vfn1289961957.ps tmp/47vfn1289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/50nwq1289961957.ps tmp/50nwq1289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/60nwq1289961957.ps tmp/60nwq1289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/70nwq1289961957.ps tmp/70nwq1289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/8bewt1289961957.ps tmp/8bewt1289961957.png",intern=TRUE))
character(0)
> try(system("convert tmp/9bewt1289961957.ps tmp/9bewt1289961957.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.910   2.144   3.187