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(0.86,0.88,0.88,0.88,0.87,0.88,0.87,0.85,0.84,0.83,0.86,0.87,0.85,0.89,0.98,1.01,1,1.01,1.05,1,0.99,1.02,1.11,1.15,1.18,1.2,1.22,1.2,1.23,1.23,1.21,1.25,1.2,1.2,1.21,1.25,1.23,1.2,1.18,1.16,1.12,1.11,1.1,1.08,1.01,1.01,0.99,1.07,1.13,1.09,0.95,0.79,0.73,0.7,0.65,0.61,0.53,0.51,0.41,0.42)
> x <- c(2756.76,2849.27,2921.44,2981.85,3080.58,3106.22,3119.31,3061.26,3097.31,3161.69,3257.16,3277.01,3295.32,3363.99,3494.17,3667.03,3813.06,3917.96,3895.51,3801.06,3570.12,3701.61,3862.27,3970.1,4138.52,4199.75,4290.89,4443.91,4502.64,4356.98,4591.27,4696.96,4621.4,4562.84,4202.52,4296.49,4435.23,4105.18,4116.68,3844.49,3720.98,3674.4,3857.62,3801.06,3504.37,3032.6,3047.03,2962.34,2197.82,2014.45,1862.83,1905.41,1810.99,1670.07,1864.44,2052.02,2029.6,2070.83,2293.41,2443.27)
> 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 
-0.371444 -0.060817  0.001475  0.055245  0.388413 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 2.952e-01  6.746e-02   4.375 5.12e-05 ***
x           2.031e-04  1.942e-05  10.461 5.68e-15 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.1267 on 58 degrees of freedom
Multiple R-squared: 0.6536,	Adjusted R-squared: 0.6476 
F-statistic: 109.4 on 1 and 58 DF,  p-value: 5.68e-15 

> postscript(file="/var/www/html/rcomp/tmp/12y7o1257799440.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/28huy1257799440.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 
-8.861e-15  3.667e-17  1.597e-16  2.187e-16  3.895e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.952e-01  6.285e-16 4.696e+14   <2e-16 ***
x           2.031e-04  1.809e-19 1.123e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.18e-15 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.261e+30 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3elpi1257799440.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.371444 -0.060817  0.001475  0.055245  0.388413 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  1.983e-17  6.746e-02  2.94e-16        1
x           -3.989e-21  1.942e-05 -2.05e-16        1

Residual standard error: 0.1267 on 58 degrees of freedom
Multiple R-squared: 6.076e-33,	Adjusted R-squared: -0.01724 
F-statistic: 3.524e-31 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4ypcu1257799440.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.34545 -0.08503  0.02611  0.12861  0.26939 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 9.798e-01  2.246e-02    43.62   <2e-16 ***
m$residuals 5.755e-17  1.804e-01 3.19e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.174 on 58 degrees of freedom
Multiple R-squared: 4.212e-32,	Adjusted R-squared: -0.01724 
F-statistic: 2.443e-30 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/5p62v1257799440.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 
-0.153729 -0.025573 -0.001660  0.024234  0.226946 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.006179   0.007517  -0.822    0.414    
Residuals    0.968382   0.064857  14.931   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.05765 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.7964,	Adjusted R-squared: 0.7928 
F-statistic: 222.9 on 1 and 57 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6p7qq1257799440.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7i3i11257799440.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8ybj21257799440.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/941ta1257799440.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/10ddue1257799440.tab") 
> 
> system("convert tmp/12y7o1257799440.ps tmp/12y7o1257799440.png")
> system("convert tmp/28huy1257799440.ps tmp/28huy1257799440.png")
> system("convert tmp/3elpi1257799440.ps tmp/3elpi1257799440.png")
> system("convert tmp/4ypcu1257799440.ps tmp/4ypcu1257799440.png")
> system("convert tmp/5p62v1257799440.ps tmp/5p62v1257799440.png")
> system("convert tmp/6p7qq1257799440.ps tmp/6p7qq1257799440.png")
> system("convert tmp/7i3i11257799440.ps tmp/7i3i11257799440.png")
> system("convert tmp/8ybj21257799440.ps tmp/8ybj21257799440.png")
> system("convert tmp/941ta1257799440.ps tmp/941ta1257799440.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.879   1.377   4.333