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(78973,46146,46492,60656,21898,36555,74680,22807,61282,37981,41553,45081,38557,51641,30658,52924,79256,53462,68950,53639,67819,48333,28001,51665,39019,46221,65792,39858,19574,41829,78688,36781,44314,24874,56911,37048,48426,33388,26998,46502,41507,40001,33144,29501,43059,43249,29272,49821,98341,44372,42448,5950,64839,32551,30767,62046,71930,67328,67253,35373,85544,88087,30621,50580,49670,25456,69245,43787,53638,35683,38008,18801,44324,51408,53880,55708,63858,183643,35660,41664,29883,62047,33321,46553,56622,15430,49379,58215,38253,77786,21331,55292,30105,37651,59370,46216,73122,93927,55935,93308,74344,78094,25625,43750,28995,47336,57582,60875,165877,32984,61638,36367,1168,40530,21427,15024,39088,855,80455,14116,43915,76705,40112,41821,8773,52045,51491,53470,53211,63091,131634,41745,23656,51442,54574,35708,66627,39585,50029,25266,34860,62759,62307,37238,42452,59820,75075,97567,0,6023,0,0,0,0,42420,31116,0,0,1644,6179,3926,23238,0,38818)
> x <- c(17298,9858,8467,20510,5114,7721,23654,1271,13872,11235,12777,10681,5603,10843,6589,16859,14431,8857,15750,6978,25068,12029,3960,11590,15216,15173,12205,14522,6008,7005,27658,6268,12588,1308,20414,3963,14294,10474,11082,17263,12043,10149,13551,6083,4922,8065,6773,12649,12030,12688,12485,2694,11347,3597,5011,17745,12888,20771,23195,7483,17441,27499,7763,10506,17544,9863,11786,14626,11114,9482,9432,2970,10957,10467,11882,14093,16933,7947,9348,7854,8475,15615,8312,9400,7905,4525,16732,10784,15550,19591,5537,11778,4695,8911,15746,11288,17295,18560,15476,26914,16766,14341,5373,7409,10791,21000,23021,15492,11181,6006,14271,9346,238,13240,3879,4397,11417,338,7941,3988,13508,11025,1819,5531,1888,12343,16321,14263,19165,9157,25740,12142,4565,12694,13172,304,20477,7945,17712,6397,303,11306,16379,2805,15448,9031,15706,19234,0,2065,0,0,0,0,10853,8571,0,0,556,2089,2658,1419,0,7521)
> 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 
-28191 -12758  -3498   6080 145288 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.572e+04  3.048e+03   5.159 7.19e-07 ***
x           2.848e+00  2.466e-01  11.547  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 20090 on 162 degrees of freedom
Multiple R-squared: 0.4515,	Adjusted R-squared: 0.4481 
F-statistic: 133.3 on 1 and 162 DF,  p-value: < 2.2e-16 

> postscript(file="/var/wessaorg/rcomp/tmp/1fgdw1321379776.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/2i6ln1321379776.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 
-7.653e-11 -1.530e-12  2.510e-13  2.228e-12  2.207e-11 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.572e+04  1.053e-12 1.494e+16   <2e-16 ***
x           2.848e+00  8.516e-17 3.344e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 6.939e-12 on 162 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.118e+33 on 1 and 162 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/35k2t1321379776.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-28191 -12758  -3498   6080 145288 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  3.004e-13  3.048e+03       0        1
x           -1.855e-17  2.466e-01       0        1

Residual standard error: 20090 on 162 degrees of freedom
Multiple R-squared: 1.175e-34,	Adjusted R-squared: -0.006173 
F-statistic: 1.903e-32 on 1 and 162 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4qtjf1321379776.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-30175 -13067    629  11254  48588 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  4.590e+04  1.424e+03   32.24   <2e-16 ***
m$residuals -4.221e-17  7.128e-02    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 18230 on 162 degrees of freedom
Multiple R-squared: 8.26e-32,	Adjusted R-squared: -0.006173 
F-statistic: 1.338e-29 on 1 and 162 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/5nadg1321379776.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 
-27734 -12475  -3385   6189 145375 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  -85.60130 1576.06570  -0.054    0.957
Residuals      0.02126    0.07868   0.270    0.787

Residual standard error: 20120 on 161 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0004533,	Adjusted R-squared: -0.005755 
F-statistic: 0.07301 on 1 and 161 DF,  p-value: 0.7873 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6bksd1321379776.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/76q7v1321379776.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8hqmx1321379776.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/960uo1321379776.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/106fbc1321379776.tab") 
> 
> try(system("convert tmp/1fgdw1321379776.ps tmp/1fgdw1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/2i6ln1321379776.ps tmp/2i6ln1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/35k2t1321379776.ps tmp/35k2t1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/4qtjf1321379776.ps tmp/4qtjf1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/5nadg1321379776.ps tmp/5nadg1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/6bksd1321379776.ps tmp/6bksd1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/76q7v1321379776.ps tmp/76q7v1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/8hqmx1321379776.ps tmp/8hqmx1321379776.png",intern=TRUE))
character(0)
> try(system("convert tmp/960uo1321379776.ps tmp/960uo1321379776.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.567   0.486   3.094