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(1.817,1.4,1.7324337,1.59,1.9552,1.33,1.83,1.84,1.98,1.32,1.39,1.34,2.08,1.9,2.88,1.35,1.32,1.13,1.65,2.171569,1.7,2,1.9,1.27,1.35,1.24,1.31,1.38,1.85,1.43,2.18,1.84,2.1,7.151,1.78,2.4116,5.8,2.2732,2.3348,2.9056,1.287,5.5052,2.3368,3.5916,1.18,2.9528,2.265,1.37,6.0754,6.8,3.2674,4.4346,4.654,6.2644,2.425,4.5502,6.3,2.1354,4.5832,1.38,1.518,2.4,2.6258,2.9476,2.723,5.414,5.1436,1.55,2.7976,3.1232,4.7934,1.4212,3.9466,4.2416,5.5176,7.0752,3.8,3.3053333,0.966,2.0568,4.3828,2.36,4.9672,1.8634,2.7,3.2878,1.35,2.231,3.457,5.2,2.7852,1.31,1.453,4.8764,5.6808,2.6524,6.5538,1.41,4.4626,1.7,1.7,5.1942,2.1034,3.6,3.1,2.804,7.02575,5.4266,3.1396,2.5888,3.8918,2.553,3.2952,1.7728,1.31,1.3,5.9356,5.1885714,1.43,6.4768,1.28,6.1208,2.73,4.3464,3.1606,1.115,3.4402,5.2576,1.845,4.9142,1.63,2.03,2.5502,6.685,1.2,2.347,2.03,2.62,5.6052,5.2704,3.7274286)
> x <- c(83.5,82.68,82.4,82.782566,81.384,79.67,80.43,82.83,84.11,82,81.95,77.35,83,81.8,82.2,83.98,85.81,82.36,82.3,77.238835,81.9,82.035,82.66,79.6,81.75,78.2,81.415,84.1,82.94,84.04,74,81.345,80.7,43.452,79.574,73.412,43.958,78.868,77.28,64.576,75.5,57.354,67.04,67.358,77.28,50.036,75.84,76.3,53.46,50.492,61.402,50.732,45.822,51.988,76.38,56.118,47.46,81.104,48.998,79.37,80.138,75.2,77.856,73.312,74.684,52.356,59.768,78.14,70.892,57.212,60.134,74.686,60.138,73.516,57.154,47.778,62.204,73.472,85.5,72.278,61.024,72,54.55,69.158,72.1,65.264,76.5,73.988,42.94,46.2,76.63,77.06,76.434,60.796,47.886,76.452,56.066,80.7,65.586,75.91,72.274,43,64.876,52.984,63.716,75.58,55.508,47.328,77.142,78.064,60.274,73.714,73.648,82.56,75.8,73.23,47.262,64.822,75.88,43.87,82.6,48.934,52.5,59.622,75.838,81.4,69.204,53.002,74.774,60.004,71.62,76,67.372,51.432,74.06,81.258,79.52,76.41,63.848,41.86,42.062)
> 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 
-2.56648 -0.56183  0.03525  0.43829  2.43090 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 10.904544   0.404572   26.95   <2e-16 ***
x           -0.113672   0.005735  -19.82   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.864 on 139 degrees of freedom
Multiple R-squared: 0.7386,	Adjusted R-squared: 0.7368 
F-statistic: 392.8 on 1 and 139 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/10wor1290676976.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/2bonc1290676976.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 
-5.927e-15 -1.109e-16  7.603e-18  1.229e-16  4.507e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  1.090e+01  3.127e-16  3.487e+16   <2e-16 ***
x           -1.137e-01  4.434e-18 -2.564e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.679e-16 on 139 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.574e+32 on 1 and 139 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3bonc1290676976.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2.56648 -0.56183  0.03525  0.43829  2.43090 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  8.139e-17  4.046e-01  2.01e-16        1
x           -1.105e-18  5.735e-03 -1.93e-16        1

Residual standard error: 0.864 on 139 degrees of freedom
Multiple R-squared: 3.219e-34,	Adjusted R-squared: -0.007194 
F-statistic: 4.475e-32 on 1 and 139 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4lf4f1290676976.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1.8664 -1.1684 -0.5307  1.0670  3.1295 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   3.0167     0.1223   24.66   <2e-16 ***
m$residuals   0.0000     0.1426    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.452 on 139 degrees of freedom
Multiple R-squared: 5.078e-31,	Adjusted R-squared: -0.007194 
F-statistic: 7.058e-29 on 1 and 139 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/5eo401290676976.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 
-2.55502 -0.57471  0.04815  0.43978  2.41929 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.00341    0.07321  -0.047    0.963
Residuals    0.03060    0.08749   0.350    0.727

Residual standard error: 0.866 on 138 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0008855,	Adjusted R-squared: -0.006354 
F-statistic: 0.1223 on 1 and 138 DF,  p-value: 0.7271 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6pfl31290676976.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7pfl31290676976.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8z7251290676976.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9z7251290676976.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/10dy0e1290676976.tab") 
> 
> try(system("convert tmp/10wor1290676976.ps tmp/10wor1290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/2bonc1290676976.ps tmp/2bonc1290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/3bonc1290676976.ps tmp/3bonc1290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/4lf4f1290676976.ps tmp/4lf4f1290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/5eo401290676976.ps tmp/5eo401290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/6pfl31290676976.ps tmp/6pfl31290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/7pfl31290676976.ps tmp/7pfl31290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/8z7251290676976.ps tmp/8z7251290676976.png",intern=TRUE))
character(0)
> try(system("convert tmp/9z7251290676976.ps tmp/9z7251290676976.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.863   1.427   8.133