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(1.0840,1.1154,1.1184,1.1570,1.1625,1.1627,1.1578,1.1533,1.1684,1.1597,1.1888,1.1296,1.1424,1.1317,1.1581,1.1672,1.1391,1.1357,1.1065,1.1232,1.0845,1.0676,1.0863,1.0792,1.0799,1.0817,1.0869,1.0843,1.0747,1.0711,1.0688,1.0828,1.0746,1.0568,1.0600,1.0593,1.0370,1.0288,1.0295,1.0352,1.0324,1.0186,1.0094,1.0258,1.0170,1.0117,1.0175,1.0064,1.0168,1.0340,1.0423,1.0356,1.0348)
> x <- c(1.3855,1.3431,1.3257,1.2978,1.2793,1.2945,1.2890,1.2848,1.2694,1.2636,1.2900,1.3559,1.3305,1.3482,1.3146,1.3027,1.3247,1.3267,1.3621,1.3479,1.4011,1.4135,1.3964,1.4010,1.3955,1.4077,1.3975,1.3949,1.4138,1.4210,1.4253,1.4169,1.4174,1.4346,1.4296,1.4311,1.4594,1.4722,1.4669,1.4571,1.4709,1.4893,1.4997,1.4713,1.4846,1.4914,1.4859,1.4957,1.4843,1.4619,1.4340,1.4426,1.4318)
> 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 
-0.0226256 -0.0034525  0.0002177  0.0039874  0.0261558 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  2.11985    0.02547   83.22   <2e-16 ***
x           -0.74202    0.01824  -40.69   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.009214 on 51 degrees of freedom
Multiple R-squared: 0.9701,	Adjusted R-squared: 0.9695 
F-statistic:  1655 on 1 and 51 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/rcomp/tmp/1wes71289903127.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/2wes71289903127.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 
-1.137e-16 -6.755e-17  1.900e-18  4.574e-17  2.707e-16 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  2.120e+00  2.082e-16  1.018e+16   <2e-16 ***
x           -7.420e-01  1.491e-16 -4.978e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.53e-17 on 51 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.478e+31 on 1 and 51 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3p5sa1289903127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
       Min         1Q     Median         3Q        Max 
-0.0226256 -0.0034525  0.0002177  0.0039874  0.0261558 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  4.552e-18  2.547e-02  1.79e-16        1
x           -3.434e-18  1.824e-02 -1.88e-16        1

Residual standard error: 0.009214 on 51 degrees of freedom
Multiple R-squared: 1.696e-33,	Adjusted R-squared: -0.01961 
F-statistic: 8.651e-32 on 1 and 51 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4zw9v1289903127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-0.077727 -0.046117 -0.009461  0.047823  0.097464 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.085e+00  7.210e-03    150.5   <2e-16 ***
m$residuals 8.437e-16  7.977e-01 1.06e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.05249 on 51 degrees of freedom
Multiple R-squared: 3.158e-30,	Adjusted R-squared: -0.01961 
F-statistic: 1.611e-28 on 1 and 51 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/5an8y1289903127.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 
-0.0179149 -0.0034531 -0.0001568  0.0038586  0.0369967 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -5.856e-05  1.144e-03  -0.051  0.95939    
Residuals    4.785e-01  1.336e-01   3.583  0.00077 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.008241 on 50 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.2043,	Adjusted R-squared: 0.1884 
F-statistic: 12.84 on 1 and 50 DF,  p-value: 0.0007692 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6lx7j1289903127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7lx7j1289903127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8lx7j1289903127.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9do6l1289903127.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/10ag4c1289903127.tab") 
> 
> try(system("convert tmp/1wes71289903127.ps tmp/1wes71289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wes71289903127.ps tmp/2wes71289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/3p5sa1289903127.ps tmp/3p5sa1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/4zw9v1289903127.ps tmp/4zw9v1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/5an8y1289903127.ps tmp/5an8y1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/6lx7j1289903127.ps tmp/6lx7j1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/7lx7j1289903127.ps tmp/7lx7j1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/8lx7j1289903127.ps tmp/8lx7j1289903127.png",intern=TRUE))
character(0)
> try(system("convert tmp/9do6l1289903127.ps tmp/9do6l1289903127.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.838   1.383   2.491