R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(102.89,102.64,103.33,103.56,103.60,104.24,105.31,105.40,105.89,105.89,105.54,106.15,106.14,105.85,106.27,106.51,106.82,106.53,107.14,107.39,107.33,107.53,107.42,108.25,108.26,108.93,109.43,109.61,109.74,110.12,110.16,110.44,111.23,112.86,112.77,113.04,112.79,113.87,114.28,115.51,116.76,116.91,116.47,116.94,117.24,116.82,117.48,117.11,117.31,117.77,118.37,117.91,118.12,118.02,117.77,117.85,118.68,118.90)
> x <- c(167.16,179.84,174.44,180.35,193.17,195.16,202.43,189.91,195.98,212.09,205.81,204.31,196.07,199.98,199.10,198.31,195.72,223.04,238.41,259.73,326.54,335.15,321.81,368.62,369.59,425.00,439.72,362.23,328.76,348.55,328.18,329.34,295.55,237.38,226.85,220.14,239.36,224.69,230.98,233.47,256.70,253.41,224.95,210.37,191.09,198.85,211.04,206.25,201.51,194.54,191.07,192.82,181.88,157.67,195.82,246.25,271.69,270.29)
> 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 
-8.6203 -4.8462 -0.5649  5.8327  8.0387 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) 112.053653   2.646055  42.347   <2e-16 ***
x            -0.004412   0.010530  -0.419    0.677    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 5.31 on 56 degrees of freedom
Multiple R-squared: 0.003124,	Adjusted R-squared: -0.01468 
F-statistic: 0.1755 on 1 and 56 DF,  p-value: 0.6769 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1a9lb1289576175.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/freestat/rcomp/tmp/2a9lb1289576175.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 
-4.805e-14 -2.774e-15  4.549e-16  5.111e-15  8.618e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  1.121e+02  3.912e-15  2.864e+16   <2e-16 ***
x           -4.412e-03  1.557e-17 -2.834e+14   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 7.85e-15 on 56 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 8.03e+28 on 1 and 56 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3likw1289576175.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.6203 -4.8462 -0.5649  5.8327  8.0387 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  5.203e-16  2.646e+00  1.97e-16        1
x           -1.929e-18  1.053e-02 -1.83e-16        1

Residual standard error: 5.31 on 56 degrees of freedom
Multiple R-squared: 2.845e-33,	Adjusted R-squared: -0.01786 
F-statistic: 1.593e-31 on 1 and 56 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4eajy1289576175.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.8705 -0.1114  0.1160  0.2053  0.3738 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.110e+02  3.903e-02    2844   <2e-16 ***
m$residuals 3.218e-16  7.481e-03 4.3e-14        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.2972 on 56 degrees of freedom
Multiple R-squared: 1.073e-26,	Adjusted R-squared: -0.01786 
F-statistic: 6.011e-25 on 1 and 56 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/freestat/rcomp/tmp/5o1i11289576175.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 
-0.81677 -0.34029 -0.03726  0.28089  1.09210 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.28799    0.06208   4.639 2.21e-05 ***
Residuals    0.99385    0.01205  82.506  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 0.4685 on 55 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.992,	Adjusted R-squared: 0.9918 
F-statistic:  6807 on 1 and 55 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6o1i11289576175.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7za041289576175.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8za041289576175.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9za041289576175.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/10obxy1289576175.tab") 
> 
> try(system("convert tmp/1a9lb1289576175.ps tmp/1a9lb1289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/2a9lb1289576175.ps tmp/2a9lb1289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/3likw1289576175.ps tmp/3likw1289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/4eajy1289576175.ps tmp/4eajy1289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/5o1i11289576175.ps tmp/5o1i11289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/6o1i11289576175.ps tmp/6o1i11289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/7za041289576175.ps tmp/7za041289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/8za041289576175.ps tmp/8za041289576175.png",intern=TRUE))
character(0)
> try(system("convert tmp/9za041289576175.ps tmp/9za041289576175.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.837   2.064   3.128