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

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(37,2,3,6,17,14,3,4,18,40,0,35,12,22,50,3,3,16,12,2,4,16,6,0,21,21,2,35,10,4,36,7,17,10,14,7,12,14,45,15,20,16,9,26,15,12,12,11,30,14,24,16,10,2,14,11,16,4,15,0,12,0,13,18,11,13,24,20,12,14,21,21,0,46,2,0,3,3,25,13,18,24,20,24,23,15,7,3,0,35,14,8,0,13,12,21,12,18,6,39,8,25,26,19,4,18,14,18,13,21,4,15,0,1,0,0,10,24,19,12,0,2,8,24,23,42,6,24,18,3,14,0,32,10,4,23,5,18,24,36,40,20,40,33,17,14,40,27,24,4,15,8,43,14,24,3,1,31,12,13)
> x <- c(85.45454545
+ ,61.81818182
+ ,47.27272727
+ ,78.18181818
+ ,70.90909091
+ ,76.36363636
+ ,67.27272727
+ ,74.54545455
+ ,70.90909091
+ ,76.36363636
+ ,74.54545455
+ ,72.72727273
+ ,69.09090909
+ ,87.27272727
+ ,78.18181818
+ ,58.18181818
+ ,76.36363636
+ ,83.63636364
+ ,78.18181818
+ ,61.81818182
+ ,67.27272727
+ ,69.09090909
+ ,69.09090909
+ ,83.63636364
+ ,90.90909091
+ ,74.54545455
+ ,74.54545455
+ ,65.45454545
+ ,87.27272727
+ ,74.54545455
+ ,81.81818182
+ ,80
+ ,72.72727273
+ ,72.72727273
+ ,81.81818182
+ ,74.54545455
+ ,69.09090909
+ ,69.09090909
+ ,100
+ ,67.27272727
+ ,76.36363636
+ ,76.36363636
+ ,58.18181818
+ ,78.18181818
+ ,70.90909091
+ ,61.81818182
+ ,72.72727273
+ ,70.90909091
+ ,80
+ ,74.54545455
+ ,67.27272727
+ ,81.81818182
+ ,74.54545455
+ ,72.72727273
+ ,83.63636364
+ ,80
+ ,83.63636364
+ ,78.18181818
+ ,67.27272727
+ ,89.09090909
+ ,80
+ ,61.81818182
+ ,69.09090909
+ ,78.18181818
+ ,72.72727273
+ ,76.36363636
+ ,72.72727273
+ ,70.90909091
+ ,78.18181818
+ ,61.81818182
+ ,81.81818182
+ ,72.72727273
+ ,83.63636364
+ ,74.54545455
+ ,70.90909091
+ ,72.72727273
+ ,65.45454545
+ ,65.45454545
+ ,70.90909091
+ ,69.09090909
+ ,80
+ ,76.36363636
+ ,67.27272727
+ ,70.90909091
+ ,78.18181818
+ ,78.18181818
+ ,78.18181818
+ ,74.54545455
+ ,78.18181818
+ ,69.09090909
+ ,61.81818182
+ ,80
+ ,76.36363636
+ ,76.36363636
+ ,74.54545455
+ ,81.81818182
+ ,78.18181818
+ ,60
+ ,76.36363636
+ ,83.63636364
+ ,76.36363636
+ ,70.90909091
+ ,76.36363636
+ ,65.45454545
+ ,74.54545455
+ ,67.27272727
+ ,80
+ ,61.81818182
+ ,60
+ ,74.54545455
+ ,78.18181818
+ ,63.63636364
+ ,69.09090909
+ ,85.45454545
+ ,63.63636364
+ ,65.45454545
+ ,63.63636364
+ ,61.81818182
+ ,65.45454545
+ ,78.18181818
+ ,61.81818182
+ ,72.72727273
+ ,60
+ ,74.54545455
+ ,61.81818182
+ ,69.09090909
+ ,69.09090909
+ ,70.90909091
+ ,74.54545455
+ ,70.90909091
+ ,70.90909091
+ ,61.81818182
+ ,61.81818182
+ ,69.09090909
+ ,63.63636364
+ ,76.36363636
+ ,61.81818182
+ ,78.18181818
+ ,69.09090909
+ ,70.90909091
+ ,81.81818182
+ ,65.45454545
+ ,76.36363636
+ ,69.09090909
+ ,63.63636364
+ ,70.90909091
+ ,69.09090909
+ ,83.63636364
+ ,87.27272727
+ ,70.90909091
+ ,74.54545455
+ ,70.90909091
+ ,80
+ ,83.63636364
+ ,76.36363636
+ ,70.90909091
+ ,67.27272727
+ ,70.90909091
+ ,72.72727273
+ ,63.63636364)
> 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 
-20.747  -9.428  -1.581   6.282  32.933 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)  -9.3023     8.5536  -1.088   0.2785   
x             0.3373     0.1167   2.890   0.0044 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 11.27 on 158 degrees of freedom
Multiple R-squared: 0.0502,	Adjusted R-squared: 0.04419 
F-statistic: 8.351 on 1 and 158 DF,  p-value: 0.004397 

> postscript(file="/var/www/html/rcomp/tmp/1m7i21289898169.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/2xgh51289898169.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 
-1.432e-13 -5.617e-17  9.711e-16  2.288e-15  1.018e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -9.302e+00  9.014e-15 -1.032e+15   <2e-16 ***
x            3.373e-01  1.230e-16  2.742e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.188e-14 on 158 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.519e+30 on 1 and 158 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3xgh51289898169.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-20.747  -9.428  -1.581   6.282  32.933 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.400e-15  8.554e+00 -2.81e-16        1
x            3.678e-17  1.167e-01  3.15e-16        1

Residual standard error: 11.27 on 158 degrees of freedom
Multiple R-squared: 1.547e-33,	Adjusted R-squared: -0.006329 
F-statistic: 2.445e-31 on 1 and 158 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4q7hq1289898169.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-8.63914 -1.43347 -0.05366  1.78609  9.14507 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.528e+01  2.049e-01     74.57   <2e-16 ***
m$residuals -5.640e-17  1.829e-02 -3.08e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.592 on 158 degrees of freedom
Multiple R-squared: 3.344e-30,	Adjusted R-squared: -0.006329 
F-statistic: 5.283e-28 on 1 and 158 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/50ggt1289898169.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 
-20.628  -9.335  -1.660   6.399  33.053 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.109966   0.890078  -0.124    0.902
Residuals   -0.005786   0.079196  -0.073    0.942

Residual standard error: 11.22 on 157 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 3.399e-05,	Adjusted R-squared: -0.006335 
F-statistic: 0.005337 on 1 and 157 DF,  p-value: 0.9419 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6b8fw1289898169.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7b8fw1289898169.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8mzwh1289898169.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9mzwh1289898169.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/100ruq1289898169.tab") 
> 
> try(system("convert tmp/1m7i21289898169.ps tmp/1m7i21289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/2xgh51289898169.ps tmp/2xgh51289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/3xgh51289898169.ps tmp/3xgh51289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/4q7hq1289898169.ps tmp/4q7hq1289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/50ggt1289898169.ps tmp/50ggt1289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/6b8fw1289898169.ps tmp/6b8fw1289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/7b8fw1289898169.ps tmp/7b8fw1289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/8mzwh1289898169.ps tmp/8mzwh1289898169.png",intern=TRUE))
character(0)
> try(system("convert tmp/9mzwh1289898169.ps tmp/9mzwh1289898169.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.889   1.402   3.093