R version 2.8.1 (2008-12-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(4.611549793,4.611450424,4.609460967,4.613138356,4.618382517,4.62379565,4.623501143,4.625364893,4.627127353,4.631130288,4.631325143,4.630252966,4.628593701,4.631617356,4.632396172,4.632979887,4.637734177,4.636959508,4.64053733,4.643910014,4.643717596,4.646791861,4.648038086,4.64784646,4.647463098,4.649952329,4.650908078,4.653198155,4.658331734,4.656148431,4.659468959,4.657193214,4.656623468,4.660604893,4.66032103,4.660699496,4.665229942,4.672174415,4.676932552,4.680741373,4.688683786,4.694279361,4.695833221,4.702296897,4.706100905,4.711510222,4.708448535,4.71088064,4.712139407,4.710340684,4.711690029,4.71357606,4.716264233,4.710160633,4.711060561,4.709169776,4.705015521,4.704834509,4.706462437,4.704653464)
> x <- c(4.615120517,4.613931692,4.610655116,4.61343593,4.620157316,4.626540212,4.628789052,4.630252966,4.633271616,4.639281716,4.640247713,4.641405679,4.639571613,4.639281716,4.639088404,4.639378357,4.643717596,4.643332647,4.648229675,4.651958347,4.651767471,4.65519768,4.65643348,4.653579325,4.651576559,4.654055584,4.655387902,4.6558633,4.661266925,4.661361466,4.665888921,4.664664758,4.664570529,4.668802046,4.667581446,4.668520501,4.673762977,4.683056725,4.685828089,4.689878914,4.69701984,4.704291277,4.7065528,4.71545854,4.720995751,4.726236714,4.720104724,4.721708002,4.719926423,4.713934901,4.711779921,4.712768197,4.716174744,4.710430697,4.712498764,4.711779921,4.709890497,4.709259895,4.712319102,4.709710365)
> 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 
-0.0073993 -0.0022116 -0.0005848  0.0024459  0.0081221 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.09650    0.06273   1.538    0.129    
x            0.97797    0.01343  72.813   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.003595 on 58 degrees of freedom
Multiple R-squared: 0.9892,	Adjusted R-squared: 0.989 
F-statistic:  5302 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/rcomp/tmp/1xp0n1256749554.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/rcomp/tmp/2dt8d1256749554.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 
-3.828e-16 -1.571e-16 -4.716e-17  1.923e-16  4.765e-16 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 9.650e-02  4.038e-15 2.390e+13   <2e-16 ***
x           9.780e-01  8.646e-16 1.131e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.314e-16 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.279e+30 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3gz9v1256749554.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
       Min         1Q     Median         3Q        Max 
-0.0073993 -0.0022116 -0.0005848  0.0024459  0.0081221 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  6.663e-18  6.273e-02  1.06e-16        1
x           -1.408e-18  1.343e-02 -1.05e-16        1

Residual standard error: 0.003595 on 58 degrees of freedom
Multiple R-squared: 4.785e-34,	Adjusted R-squared: -0.01724 
F-statistic: 2.775e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4kwr91256749555.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.058193 -0.028403 -0.007034  0.038724  0.054843 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  4.664e+00  4.437e-03      1051   <2e-16 ***
m$residuals -1.316e-15  1.255e+00 -1.05e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.03437 on 58 degrees of freedom
Multiple R-squared: 4.145e-28,	Adjusted R-squared: -0.01724 
F-statistic: 2.404e-26 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/rcomp/tmp/54g671256749555.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 
-0.0025750 -0.0009536 -0.0003179  0.0007611  0.0040254 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 6.748e-06  1.979e-04   0.034    0.973    
Residuals   9.090e-01  5.570e-02  16.320   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.00152 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8237,	Adjusted R-squared: 0.8206 
F-statistic: 266.3 on 1 and 57 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6iw6o1256749555.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/72glo1256749555.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8nqw91256749555.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/93hcj1256749555.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/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/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/rcomp/tmp/10safh1256749555.tab") 
> 
> system("convert tmp/1xp0n1256749554.ps tmp/1xp0n1256749554.png")
> system("convert tmp/2dt8d1256749554.ps tmp/2dt8d1256749554.png")
> system("convert tmp/3gz9v1256749554.ps tmp/3gz9v1256749554.png")
> system("convert tmp/4kwr91256749555.ps tmp/4kwr91256749555.png")
> system("convert tmp/54g671256749555.ps tmp/54g671256749555.png")
> system("convert tmp/6iw6o1256749555.ps tmp/6iw6o1256749555.png")
> system("convert tmp/72glo1256749555.ps tmp/72glo1256749555.png")
> system("convert tmp/8nqw91256749555.ps tmp/8nqw91256749555.png")
> system("convert tmp/93hcj1256749555.ps tmp/93hcj1256749555.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.060   1.860   3.986