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(0.163174,0.201921,0.232752,0.228971,0.245583,0.254378,0.224034,0.230488,0.145256,0.151829,0.165472,0.196739,0.187848,0.204079,0.207498,0.240080,0.239256,0.228852,0.245555,0.222047,0.266542,0.267053,0.231662,0.206036,0.257087,0.216368,0.225624,0.231318,0.253926,0.227463,0.263592,0.260886,0.232007,0.233059,0.299560,0.270942,0.283427,0.301381,0.316548,0.292079,0.312963,0.361612,0.358814,0.358174,0.220870,0.288982,0.291079,0.327455,0.335642,0.284180,0.325792,0.326291,0.356246,0.335943,0.414564,0.374787,0.361182,0.393189,0.344907,0.352865)
> x <- c(0.892201,1.007095,0.966709,1.003381,0.950054,0.942173,0.938196,0.731490,0.815207,0.841577,0.896191,0.918043,0.819296,0.907075,0.892324,0.927952,0.897811,0.917274,0.909615,0.876498,0.918068,0.888221,0.928924,0.921158,0.832321,0.918037,0.902913,0.934450,0.886786,0.903352,0.883465,0.849764,0.906730,0.872937,0.909101,0.916899,0.861511,0.926093,0.890331,0.917292,0.887005,0.922855,0.879873,0.683812,0.839532,0.874177,0.909158,0.926634,0.854157,0.939830,0.917559,0.967147,0.918967,0.971321,0.974110,0.965109,0.989029,0.944283,0.980111,0.976797)
> 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 
-0.101416 -0.042565 -0.002185  0.050137  0.145817 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)  
(Intercept)  0.04096    0.12863   0.318   0.7513  
x            0.25065    0.14175   1.768   0.0823 .
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.06204 on 58 degrees of freedom
Multiple R-squared: 0.05115,	Adjusted R-squared: 0.03479 
F-statistic: 3.127 on 1 and 58 DF,  p-value: 0.08228 

> postscript(file="/var/www/html/rcomp/tmp/1i8dl1289584229.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/2i8dl1289584229.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 
-3.025e-17 -1.481e-17 -1.355e-18  1.514e-17  4.388e-17 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.096e-02  3.762e-17 1.089e+15   <2e-16 ***
x           2.507e-01  4.146e-17 6.045e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.815e-17 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.655e+31 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3shuo1289584229.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.101416 -0.042565 -0.002185  0.050137  0.145817 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  5.385e-17  1.286e-01  4.19e-16        1
x           -6.342e-17  1.418e-01 -4.47e-16        1

Residual standard error: 0.06204 on 58 degrees of freedom
Multiple R-squared: 2.102e-33,	Adjusted R-squared: -0.01724 
F-statistic: 1.219e-31 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4lqt81289584229.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.055608 -0.004940  0.001903  0.007449  0.025423 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 2.680e-01  1.860e-03    144.1   <2e-16 ***
m$residuals 2.203e-17  3.049e-02 7.23e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.0144 on 58 degrees of freedom
Multiple R-squared: 3.098e-29,	Adjusted R-squared: -0.01724 
F-statistic: 1.797e-27 on 1 and 58 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/5wzbc1289584229.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 
-0.1399585 -0.0244631 -0.0007275  0.0285181  0.0891245 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.002552   0.005324   0.479    0.633    
Residuals   0.733027   0.087435   8.384 1.59e-11 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.04089 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.5522,	Adjusted R-squared: 0.5443 
F-statistic: 70.29 on 1 and 57 DF,  p-value: 1.59e-11 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6wzbc1289584229.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/769ax1289584229.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/869ax1289584229.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/969ax1289584229.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/10vapq1289584229.tab") 
> 
> try(system("convert tmp/1i8dl1289584229.ps tmp/1i8dl1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/2i8dl1289584229.ps tmp/2i8dl1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/3shuo1289584229.ps tmp/3shuo1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/4lqt81289584229.ps tmp/4lqt81289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/5wzbc1289584229.ps tmp/5wzbc1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/6wzbc1289584229.ps tmp/6wzbc1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/769ax1289584229.ps tmp/769ax1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/869ax1289584229.ps tmp/869ax1289584229.png",intern=TRUE))
character(0)
> try(system("convert tmp/969ax1289584229.ps tmp/969ax1289584229.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.801   1.351   2.849