R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(43880,43110,44496,44164,40399,36763,37903,35532,35533,32110,33374,35462,33508,36080,34560,38737,38144,37594,36424,36843,37246,38661,40454,44928,48441,48140,45998,47369,49554,47510,44873,45344,42413,36912,43452,42142,44382,43636,44167,44423,42868,43908,42013,38846,35087,33026,34646,37135,37985,43121,43722,43630,42234,39351,39327,35704,30466,28155,29257,29998,32529,34787,33855,34556,31348,30805,28353,24514,21106,21346,23335,24379,26290,30084,29429,30632,27349,27264,27474,24482,21453,18788,19282,19713,21917,23812,23785,24696,24562,23580,24939,23899,21454,19761,19815,20780,23462,25005,24725,26198,27543,26471,26558,25317,22896,22248,23406,25073,27691,30599,31948,32946,34012,32936,32974,30951,29812,29010,31068,32447,34844,35676,35387,36488,35652,33488,32914,29781,27951)
> x <- c(211868,229527,229139,198563,195722,202196,205816,212588,214320,220375,204442,206903,214126,226899,223532,195309,186005,188906,191563,189226,186413,178037,166827,169362,174330,187069,186530,158114,151001,159612,161914,164182,169701,171297,166444,173476,182516,202388,202300,168053,167302,172608,178106,185686,194581,194596,197922,208795,230580,240636,240048,211457,211142,214771,212610,219313,219277,231805,229245,241114,248624,265845,256446,219452,217142,221678,227184,230354,235243,237217,233575,244460,243324,260307,241476,203666,200237,204045,209465,213586,216234,213188,208679,217859,227247,243477,232571,191531,186029,189733,190420,194163,198770,195198,193111,195411,202108,215706,206348,166972,166070,169292,175041,177876,181140,179566,175335,184128,189917,194690,179612,150605,150569,153745,155511,159044,163095,159585,158644,166618,176512,200765,182698,153730,156145,161570,165688,173666,180144)
> 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 
-13667.4  -6475.3      9.5   5414.5  14217.8 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  4.754e+04  4.964e+03   9.578  < 2e-16 ***
x           -7.279e-02  2.491e-02  -2.922  0.00411 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7710 on 127 degrees of freedom
Multiple R-squared: 0.06301,	Adjusted R-squared: 0.05564 
F-statistic: 8.541 on 1 and 127 DF,  p-value: 0.004112 

> postscript(file="/var/www/rcomp/tmp/1c1qw1292593622.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/www/rcomp/tmp/25aqz1292593622.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 
-3.948e-12 -1.260e-12 -1.293e-13  1.360e-12  4.347e-12 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  4.754e+04  1.198e-12  3.967e+16   <2e-16 ***
x           -7.279e-02  6.013e-18 -1.210e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.861e-12 on 127 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.465e+32 on 1 and 127 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3x17k1292593622.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-13667.4  -6475.3      9.5   5414.5  14217.8 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  7.201e-13  4.964e+03       0        1
x           -4.439e-18  2.491e-02       0        1

Residual standard error: 7710 on 127 degrees of freedom
Multiple R-squared: 3.173e-33,	Adjusted R-squared: -0.007874 
F-statistic: 4.03e-31 on 1 and 127 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/48s641292593622.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-4980.4 -1369.4   153.7  1628.9  3410.2 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 3.317e+04  1.760e+02   188.4   <2e-16 ***
m$residuals 2.234e-18  2.301e-02     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1999 on 127 degrees of freedom
Multiple R-squared: 2.607e-30,	Adjusted R-squared: -0.007874 
F-statistic: 3.311e-28 on 1 and 127 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/58s641292593622.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 
-4897.3 -1490.5  -304.4  1482.1  6417.5 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -139.99333  196.71623  -0.712    0.478    
Residuals      0.95074    0.02569  37.012   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2226 on 126 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9158,	Adjusted R-squared: 0.9151 
F-statistic:  1370 on 1 and 126 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6jk571292593622.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7jk571292593622.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8tbms1292593622.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9tbms1292593622.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/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/107l2j1292593622.tab") 
> 
> try(system("convert tmp/1c1qw1292593622.ps tmp/1c1qw1292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/25aqz1292593622.ps tmp/25aqz1292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/3x17k1292593622.ps tmp/3x17k1292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/48s641292593622.ps tmp/48s641292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/58s641292593622.ps tmp/58s641292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/6jk571292593622.ps tmp/6jk571292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/7jk571292593622.ps tmp/7jk571292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/8tbms1292593622.ps tmp/8tbms1292593622.png",intern=TRUE))
character(0)
> try(system("convert tmp/9tbms1292593622.ps tmp/9tbms1292593622.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.410   1.470   3.872