R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(12117,11597,12291,12461,13469,13448,13896,13846,13159,13682,13083,13507,12545,12076,13181,13395,14108,14017,14464,14139,13393,13979,13538,13752,12729,12308,13663,13660,14367,14737,15155,15616,14738,14872,14551,15020,13884,13224,14771,14645,15960,16223,16073,16233,15210,15173,14696,15202,14492,14176,15634,16043,17448,16975,17055,17286,15987,16682,16243,16580)
> x <- c(26862,28261,31761,32624,32950,34711,34124,31860,32404,33027,28944,29702,29144,29715,35710,37324,37687,39071,38986,37702,36444,36423,35266,35461,33073,35721,44670,43461,42998,45039,41555,43850,42253,42036,39552,38572,36862,37883,47264,43698,48335,50368,45633,48708,44588,44021,41601,39761,40848,45488,51253,49495,53348,50286,50191,50596,46689,49249,43597,41862)
> 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 
-1642.15  -457.58    41.03   479.11  1795.56 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 7.022e+03  5.220e+02   13.45   <2e-16 ***
x           1.854e-01  1.286e-02   14.41   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 673.2 on 58 degrees of freedom
Multiple R-squared: 0.7818,	Adjusted R-squared: 0.778 
F-statistic: 207.8 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/wessaorg/rcomp/tmp/1wj961324312037.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/2ufz11324312037.ps",horizontal=F,onefile=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 
-7.109e-12 -2.779e-13  1.515e-13  5.909e-13  1.244e-12 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 7.022e+03  8.791e-13 7.987e+15   <2e-16 ***
x           1.854e-01  2.167e-17 8.559e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.134e-12 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.326e+31 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3r8gu1324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1642.15  -457.58    41.03   479.11  1795.56 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  8.165e-14  5.220e+02       0        1
x           -2.391e-18  1.286e-02       0        1

Residual standard error: 673.2 on 58 degrees of freedom
Multiple R-squared: 7.908e-34,	Adjusted R-squared: -0.01724 
F-statistic: 4.587e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/434s11324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-2438.06  -905.35   -65.45   881.36  2473.50 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1.444e+04  1.645e+02   87.78   <2e-16 ***
m$residuals -5.823e-17  2.485e-01    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1274 on 58 degrees of freedom
Multiple R-squared: 8.327e-30,	Adjusted R-squared: -0.01724 
F-statistic: 4.829e-28 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/wessaorg/rcomp/tmp/5dupm1324312037.ps",horizontal=F,onefile=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 
-1227.6  -330.1   -22.7   397.3   987.9 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  19.1731    67.3207   0.285    0.777    
Residuals     0.6936     0.1077   6.441  2.7e-08 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 516.5 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.4213,	Adjusted R-squared: 0.4111 
F-statistic: 41.49 on 1 and 57 DF,  p-value: 2.697e-08 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6489m1324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7ab0t1324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/87h831324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/91hav1324312037.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> qqnorm(x)
> qqline(x)
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/10w9xo1324312037.tab") 
> 
> try(system("convert tmp/1wj961324312037.ps tmp/1wj961324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ufz11324312037.ps tmp/2ufz11324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/3r8gu1324312037.ps tmp/3r8gu1324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/434s11324312037.ps tmp/434s11324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/5dupm1324312037.ps tmp/5dupm1324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/6489m1324312037.ps tmp/6489m1324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/7ab0t1324312037.ps tmp/7ab0t1324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/87h831324312037.ps tmp/87h831324312037.png",intern=TRUE))
character(0)
> try(system("convert tmp/91hav1324312037.ps tmp/91hav1324312037.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.389   0.493   2.914