R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> 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)
> x <- c(167.16,179.84,174.44,180.35,193.17,195.16,202.43,189.91,195.98,212.09,205.81,204.31,196.07,199.98,199.1,198.31,195.72,223.04,238.41,259.73,326.54,335.15,321.81,368.62,369.59,425,439.72,362.23,328.76,348.55,328.18,329.34,295.55,237.38,226.85,220.14,239.36,224.69,230.98,233.47,256.7,253.41,224.95,210.37,191.09,198.85,211.04,206.25,201.19,194.37,191.08,192.87,181.61,157.67,196.14,246.35,271.9)
> 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 
-8.5351 -4.8028 -0.3648  5.9270  7.9939 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) 112.130317   2.613835   42.90   <2e-16 ***
x            -0.005311   0.010417   -0.51    0.612    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.245 on 55 degrees of freedom
Multiple R-squared: 0.004705,	Adjusted R-squared: -0.01339 
F-statistic:  0.26 on 1 and 55 DF,  p-value: 0.6122 

> postscript(file="/var/www/rcomp/tmp/16szh1289934570.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/26szh1289934570.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 
-6.967e-14 -1.947e-15  2.040e-15  5.208e-15  8.084e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  1.121e+02  5.204e-15  2.155e+16   <2e-16 ***
x           -5.311e-03  2.074e-17 -2.561e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.044e-14 on 55 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 6.56e+28 on 1 and 55 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3ykgk1289934570.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.5351 -4.8028 -0.3648  5.9270  7.9939 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -7.941e-16  2.614e+00 -3.04e-16        1
x            2.534e-18  1.042e-02  2.43e-16        1

Residual standard error: 5.245 on 55 degrees of freedom
Multiple R-squared: 7.027e-34,	Adjusted R-squared: -0.01818 
F-statistic: 3.865e-32 on 1 and 55 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4rbxn1289934570.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.05066 -0.09466  0.15838  0.24394  0.44742 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.108e+02  4.776e-02     2321   <2e-16 ***
m$residuals 5.735e-16  9.271e-03 6.19e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3606 on 55 degrees of freedom
Multiple R-squared: 9.883e-28,	Adjusted R-squared: -0.01818 
F-statistic: 5.436e-26 on 1 and 55 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/5k2xq1289934570.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 
-0.84342 -0.36408 -0.05044  0.28895  1.11160 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.29100    0.06377   4.563 2.94e-05 ***
Residuals    0.99368    0.01254  79.264  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.477 on 54 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9915,	Adjusted R-squared: 0.9913 
F-statistic:  6283 on 1 and 54 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6utet1289934570.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7utet1289934570.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8n3de1289934570.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9n3de1289934570.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/101ctn1289934570.tab") 
> 
> try(system("convert tmp/16szh1289934570.ps tmp/16szh1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/26szh1289934570.ps tmp/26szh1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ykgk1289934570.ps tmp/3ykgk1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/4rbxn1289934570.ps tmp/4rbxn1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/5k2xq1289934570.ps tmp/5k2xq1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/6utet1289934570.ps tmp/6utet1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/7utet1289934570.ps tmp/7utet1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/8n3de1289934570.ps tmp/8n3de1289934570.png",intern=TRUE))
character(0)
> try(system("convert tmp/9n3de1289934570.ps tmp/9n3de1289934570.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.800   1.600   4.417