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(24,25,17,18,18,16,20,16,18,17,23,30,23,18,15,12,21,15,20,31,27,34,21,31,19,16,20,21,22,17,24,25,26,25,17,32,33,13,32,25,29,22,18,17,20,15,20,33,29,23,26,18,20,11,28,26,22,17,12,14,17,21,19,18,10,29,31,19,9,20,28,19,30,29,26,23,13,21,19,28,23,18,21,20,23,21,21,15,28,19,26,10,16,22,19,31,31,29,19,22,23,15,20,18,23,25,21,24,25,17,13,28,21,25,9,16,19,17,25,20,29,14,22,15,19,20,15,20,18,33,22,16,17,16,21,26,18,18,17,22,30,30,24,21,21,29,31,20,16,22,20,28,38,22,20,17,28,22,31)
> x <- c(14,11,6,12,8,10,10,11,16,11,13,12,8,12,11,4,9,8,8,14,15,16,9,14,11,8,9,9,9,9,10,16,11,8,9,16,11,16,12,12,14,9,10,9,10,12,14,14,10,14,16,9,10,6,8,13,10,8,7,15,9,10,12,13,10,11,8,9,13,11,8,9,9,15,9,10,14,12,12,11,14,6,12,8,14,11,10,14,12,10,14,5,11,10,9,10,16,13,9,10,10,7,9,8,14,14,8,9,14,14,8,8,8,7,6,8,6,11,14,11,11,11,14,8,20,11,8,11,10,14,11,9,9,8,10,13,13,12,8,13,14,12,14,15,13,16,9,9,9,8,7,16,11,9,11,9,14,13,16)
> 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 
-14.2868  -3.2480  -0.6713   2.7326  16.3287 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  12.7861     1.6846   7.590 2.66e-12 ***
x             0.8077     0.1498   5.392 2.52e-07 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.273 on 157 degrees of freedom
Multiple R-squared: 0.1562,	Adjusted R-squared: 0.1509 
F-statistic: 29.07 on 1 and 157 DF,  p-value: 2.516e-07 

> postscript(file="/var/www/html/rcomp/tmp/1xvsg1289861483.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/2p4911289861483.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 
-8.793e-15 -3.205e-15 -1.084e-15 -2.221e-16  2.540e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.279e+01  6.544e-15 1.954e+15   <2e-16 ***
x           8.077e-01  5.820e-16 1.388e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.049e-14 on 157 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.926e+30 on 1 and 157 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3p4911289861483.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-14.2868  -3.2480  -0.6713   2.7326  16.3287 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  4.299e-16  1.685e+00  2.55e-16        1
x           -3.785e-17  1.498e-01 -2.53e-16        1

Residual standard error: 5.273 on 157 degrees of freedom
Multiple R-squared: 6.108e-33,	Adjusted R-squared: -0.006369 
F-statistic: 9.589e-31 on 1 and 157 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4iv9m1289861483.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-5.56785 -1.52913  0.08636  1.70185  7.35607 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.158e+01  1.800e-01     119.9   <2e-16 ***
m$residuals -3.108e-17  3.434e-02 -9.05e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.269 on 157 degrees of freedom
Multiple R-squared: 1.224e-29,	Adjusted R-squared: -0.006369 
F-statistic: 1.922e-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/rcomp/tmp/5bnq71289861483.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 
-14.1783  -3.2923  -0.5866   2.8826  16.0802 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.004171   0.418498   0.010    0.992
Residuals   0.106710   0.079868   1.336    0.183

Residual standard error: 5.26 on 156 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01131,	Adjusted R-squared: 0.004976 
F-statistic: 1.785 on 1 and 156 DF,  p-value: 0.1835 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/64wpa1289861483.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/74wpa1289861483.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8wnod1289861483.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9wnod1289861483.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/10sf431289861483.tab") 
> 
> try(system("convert tmp/1xvsg1289861483.ps tmp/1xvsg1289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/2p4911289861483.ps tmp/2p4911289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/3p4911289861483.ps tmp/3p4911289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/4iv9m1289861483.ps tmp/4iv9m1289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/5bnq71289861483.ps tmp/5bnq71289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/64wpa1289861483.ps tmp/64wpa1289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/74wpa1289861483.ps tmp/74wpa1289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/8wnod1289861483.ps tmp/8wnod1289861483.png",intern=TRUE))
character(0)
> try(system("convert tmp/9wnod1289861483.ps tmp/9wnod1289861483.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.889   1.415   2.869