R version 2.8.0 (2008-10-20)
Copyright (C) 2008 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.

  Natural language support but running in an English locale

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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(1744799
+ ,1659093
+ ,2099821
+ ,2135736
+ ,2427894
+ ,2468882
+ ,2703217
+ ,2766841
+ ,2655236
+ ,2550373
+ ,2052097
+ ,1998055
+ ,1920748
+ ,1876694
+ ,2380930
+ ,2467402
+ ,2770771
+ ,2781340
+ ,3143926
+ ,3172235
+ ,2952540
+ ,2920877
+ ,2384552
+ ,2248987
+ ,2208616
+ ,2178756
+ ,2632870
+ ,2706905
+ ,3029745
+ ,3015402
+ ,3391414
+ ,3507805
+ ,3177852
+ ,3142961
+ ,2545815
+ ,2414007
+ ,2372578
+ ,2332664
+ ,2825328
+ ,2901478
+ ,3263955
+ ,3226738
+ ,3610786
+ ,3709274
+ ,3467185
+ ,3449646
+ ,2802951
+ ,2462530
+ ,2490645
+ ,2561520
+ ,3067554
+ ,3226951
+ ,3546493
+ ,3492787
+ ,3952263
+ ,3932072
+ ,3720284
+ ,3651555
+ ,2914972
+ ,2713514
+ ,2703997
+ ,2591373
+ ,3163748
+ ,3355137
+ ,3613702
+ ,3686773
+ ,4098716
+ ,4063517
+ ,3551489
+ ,3226663
+ ,2656842
+ ,2597484
+ ,2572399
+ ,2596631
+ ,3165225
+ ,3303145
+ ,3698247
+ ,3668631
+ ,4130433
+ ,4131400
+ ,3864358
+ ,3721110
+ ,2892532
+ ,2843451
+ ,2747502
+ ,2668775
+ ,3018602
+ ,3013392
+ ,3393657
+ ,3544233
+ ,4075832
+ ,4032923
+ ,3734509
+ ,3761285
+ ,2970090
+ ,2847849
+ ,2741680
+ ,2830639
+ ,3257673
+ ,3480085
+ ,3843271
+ ,3796961
+ ,4337767
+ ,4243630
+ ,3927202
+ ,3915296
+ ,3087396
+ ,2963792
+ ,2955792
+ ,2829925
+ ,3281195
+ ,3548011
+ ,4059648
+ ,3941175
+ ,4528594
+ ,4433151
+ ,4145737
+ ,4077132
+ ,3198519
+ ,3078660
+ ,3028202
+ ,2858642
+ ,3398954
+ ,3808883
+ ,4175961
+ ,4227542
+ ,4744616
+ ,4608012
+ ,4295049
+ ,4201144
+ ,3353276
+ ,3286851
+ ,3169889
+ ,3051720
+ ,3695426
+ ,3905501
+ ,4296458
+ ,4246247
+ ,4921849
+ ,4821446
+ ,4425064
+ ,4379099
+ ,3472889
+ ,3359160
+ ,3200944
+ ,3153170
+ ,3741498
+ ,3918719
+ ,4403449
+ ,4400407
+ ,4847473
+ ,4716136
+ ,4297440
+ ,4272253
+ ,3271834
+ ,3168388
+ ,2911748
+ ,2720999
+ ,3199918
+ ,3672623
+ ,3892013
+ ,3850845
+ ,4532467
+ ,4484739
+ ,4014972
+ ,3983758
+ ,3158459
+ ,3100569
+ ,2935404
+ ,2855719
+ ,3465611
+ ,3006985
+ ,4095110
+ ,4104793
+ ,4730788
+ ,4642726
+ ,4246919
+ ,4308117)
> x <- c(79.14
+ ,79.45
+ ,80.18
+ ,80.42
+ ,80.23
+ ,79.89
+ ,80.11
+ ,80.01
+ ,80.74
+ ,80.93
+ ,80.84
+ ,80.76
+ ,80.88
+ ,81.04
+ ,81.65
+ ,81.73
+ ,81.91
+ ,81.51
+ ,81.8
+ ,82.02
+ ,82.76
+ ,82.84
+ ,82.88
+ ,82.63
+ ,82.36
+ ,82.82
+ ,83.51
+ ,83.71
+ ,83.63
+ ,83.28
+ ,83.46
+ ,83.46
+ ,84.16
+ ,84.35
+ ,84.34
+ ,84.1
+ ,84.16
+ ,84.58
+ ,85.31
+ ,85.49
+ ,85.52
+ ,85.19
+ ,85.13
+ ,85.61
+ ,86.01
+ ,86.08
+ ,86.19
+ ,85.91
+ ,85.77
+ ,86.24
+ ,86.92
+ ,87.07
+ ,87.33
+ ,87.27
+ ,87.11
+ ,87.46
+ ,88.43
+ ,88.59
+ ,88.6
+ ,88.14
+ ,88.96
+ ,89.7
+ ,90.47
+ ,90.97
+ ,91.27
+ ,90.94
+ ,90.88
+ ,91.19
+ ,92.23
+ ,92.14
+ ,92.04
+ ,91.8
+ ,92.54
+ ,93.01
+ ,93.75
+ ,94.18
+ ,94.21
+ ,93.91
+ ,93.87
+ ,94.14
+ ,95.1
+ ,94.87
+ ,94.6
+ ,94.32
+ ,94.72
+ ,95.28
+ ,96.11
+ ,96.19
+ ,96.13
+ ,95.72
+ ,95.86
+ ,96.14
+ ,97.02
+ ,96.75
+ ,96.5
+ ,95.92
+ ,96.01
+ ,96.39
+ ,97.16
+ ,97.46
+ ,97.6
+ ,97.02
+ ,96.95
+ ,97.23
+ ,98
+ ,98.04
+ ,97.76
+ ,96.99
+ ,97.44
+ ,98
+ ,98.84
+ ,98.98
+ ,98.92
+ ,98.63
+ ,98.52
+ ,98.97
+ ,99.74
+ ,99.68
+ ,99.45
+ ,98.97
+ ,98.68
+ ,99.06
+ ,99.84
+ ,100.3
+ ,100.38
+ ,100.02
+ ,99.83
+ ,100.36
+ ,100.74
+ ,100.49
+ ,100.33
+ ,99.96
+ ,100.08
+ ,100.54
+ ,101.63
+ ,102.12
+ ,102.19
+ ,101.77
+ ,101.29
+ ,101.47
+ ,102.07
+ ,102.11
+ ,102.26
+ ,101.83
+ ,102.11
+ ,102.8
+ ,103.82
+ ,104.2
+ ,104.57
+ ,104.38
+ ,104.54
+ ,104.74
+ ,105.19
+ ,104.95
+ ,104.57
+ ,103.81
+ ,104.08
+ ,104.81
+ ,105.86
+ ,106.1
+ ,106.24
+ ,105.87
+ ,104.74
+ ,105.03
+ ,105.59
+ ,105.69
+ ,105.58
+ ,104.96
+ ,104.93
+ ,105.68
+ ,106.93
+ ,107.29
+ ,107.25
+ ,106.74
+ ,106.44
+ ,106.6
+ ,107.26
+ ,107.35)
> 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 
-1227446  -470330     7042   467797  1168477 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1859965     456022  -4.079 6.85e-05 ***
x              55418       4826  11.482  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 547500 on 176 degrees of freedom
Multiple R-squared: 0.4283,	Adjusted R-squared: 0.425 
F-statistic: 131.8 on 1 and 176 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/freestat/rcomp/tmp/11o6y1291983881.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/html/freestat/rcomp/tmp/21o6y1291983881.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 
-4.020e-10 -1.089e-10 -9.116e-12  9.865e-11  3.047e-10 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -1.860e+06  1.179e-10 -1.578e+16   <2e-16 ***
x            5.542e+04  1.248e-12  4.442e+16   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 1.415e-10 on 176 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.973e+33 on 1 and 176 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3uf5j1291983881.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1227446  -470330     7042   467797  1168477 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.813e-11  4.560e+05 -6.17e-17        1
x            2.110e-13  4.826e+03  4.37e-17        1

Residual standard error: 547500 on 176 degrees of freedom
Multiple R-squared: 3.094e-34,	Adjusted R-squared: -0.005682 
F-statistic: 5.446e-32 on 1 and 176 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4m65m1291983881.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-829082 -459718  103334  365186  734273 

Coefficients:
              Estimate Std. Error  t value Pr(>|t|)    
(Intercept)  3.355e+06  3.552e+04    94.45   <2e-16 ***
m$residuals -1.434e-17  6.524e-02 -2.2e-16        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 473900 on 176 degrees of freedom
Multiple R-squared: 7.9e-31,	Adjusted R-squared: -0.005682 
F-statistic: 1.39e-28 on 1 and 176 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/5xym71291983881.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 
-916798 -207544   37570  198186  853014 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 5.384e+03  2.520e+04   0.214    0.831    
Residuals   7.850e-01  4.617e-02  17.003   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 335200 on 175 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.6229,	Adjusted R-squared: 0.6208 
F-statistic: 289.1 on 1 and 175 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6xym71291983881.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7q73s1291983881.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8q73s1291983881.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/91ykd1291983881.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/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/10e80l1291983881.tab") 
> try(system("convert tmp/11o6y1291983881.ps tmp/11o6y1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/21o6y1291983881.ps tmp/21o6y1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/3uf5j1291983881.ps tmp/3uf5j1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/4m65m1291983881.ps tmp/4m65m1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/5xym71291983881.ps tmp/5xym71291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/6xym71291983881.ps tmp/6xym71291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/7q73s1291983881.ps tmp/7q73s1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/8q73s1291983881.ps tmp/8q73s1291983881.png",intern=TRUE))
character(0)
> try(system("convert tmp/91ykd1291983881.ps tmp/91ykd1291983881.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.054   2.234   3.306