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*The author of this computation has been verified*

R Software Module: /rwasp_edabi.wasp (opens new window with default values)

Title produced by software: Bivariate Explorative Data Analysis

Date of computation: Tue, 03 Nov 2009 09:40:50 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a.htm/, Retrieved Tue, 03 Nov 2009 17:43:18 +0100

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

23531,56 21025 18961,29 21992,89 23164,84 28696,36 28425,96 25953,21 30310,81 32041 36328,36 36100 32978,56 30555,04 32580,25 38730,24 37558,44 38809 46785,69 49017,96 47480,41 52762,09 51710,76 41697,64 38651,56 39521,44 43056,25 36366,49 40642,56 44310,25 49952,25 50086,44 53453,44 59536 55084,09 62600,04 70596,49 82713,76 80258,89 87261,16 97531,29 111422,44 120895,29 146842,24 165730,41 171064,96 131551,29 103619,61 57312,36 36481 25504,09 26699,56 24837,76 27622,44 31222,89 39322,89 51166,44 46742,44 55648,81 51483,61

Dataseries Y:

» Textbox « » Textfile « » CSV «

9769,3456 9901,245025 10034,0289 9769,3456 10304,2801 10436,6656 10483,7121 10514,4516 10578,1225 10706,0409 10726,7449 10751,6161 10712,25 10706,0409 10701,9025 10708,1104 10801,4449 10793,1321 10899,36 10980,9441 10976,7529 11052,3169 11079,6676 11016,6016 10972,5625 11027,1001 11056,5225 11067,04 11187,2929 11189,4084 11291,1876 11263,5769 11261,4544 11357,1649 11329,4736 11350,7716 11470,41 11685,61 11750,56 11846,1456 12016,5444 12192,5764 12247,8489 12467,9556 12606,7984 12739,6369 12584,3524 12624,7696 12579,8656 12430,0201 12376,5625 12401,0496 12485,8276 12343,21 12394,3689 12376,5625 12329,8816 12314,3409 12389,9161 12325,4404

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Model: Y[t] = c + b X[t] + e[t]
c	10642.9824770671
b	0.0139208134315876

Descriptive Statistics about e[t]
# observations	60
minimum	-1201.21533358137
Q1	-389.891449935572
median	-164.853662285940
mean	-7.55969361184346e-14
Q3	2.83895047565145
maximum	1497.08329991431

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/1e1sr1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/1e1sr1257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/206dp1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/206dp1257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/3g59i1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/3g59i1257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/4t6gb1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/4t6gb1257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/56teu1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/56teu1257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/6hof31257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/6hof31257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/7oh111257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/7oh111257266446.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/8dmut1257266446.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/03/t1257266589e21tq6o8a457l1a/8dmut1257266446.ps (open in new window)

Parameters (Session):

par1 = 0 ; par2 = 36 ;

Parameters (R input):

par1 = 0 ; par2 = 36 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)

par2 <- as.numeric(par2)

x <- as.ts(x)

y <- as.ts(y)

mylm <- lm(y~x)

cbind(mylm$resid)

library(lattice)

bitmap(file='pic1.png')

plot(y,type='l',main='Run Sequence Plot of Y[t]',xlab='time or index',ylab='value')

grid()

dev.off()

bitmap(file='pic1a.png')

plot(x,type='l',main='Run Sequence Plot of X[t]',xlab='time or index',ylab='value')

grid()

dev.off()

bitmap(file='pic1b.png')

plot(x,y,main='Scatter Plot',xlab='X[t]',ylab='Y[t]')

grid()

dev.off()

bitmap(file='pic1c.png')

plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value')

grid()

dev.off()

bitmap(file='pic2.png')

hist(mylm$resid,main='Histogram of e[t]')

dev.off()

bitmap(file='pic3.png')

if (par1 > 0)

{

densityplot(~mylm$resid,col='black',main=paste('Density Plot of e[t]   bw = ',par1),bw=par1)

} else {

densityplot(~mylm$resid,col='black',main='Density Plot of e[t]')

}

dev.off()

bitmap(file='pic4.png')

qqnorm(mylm$resid,main='QQ plot of e[t]')

qqline(mylm$resid)

grid()

dev.off()

if (par2 > 0)

{

bitmap(file='pic5.png')

acf(mylm$resid,lag.max=par2,main='Residual Autocorrelation Function')

grid()

dev.off()

}

summary(x)

load(file='createtable')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,'Model: Y[t] = c + b X[t] + e[t]',2,TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'c',1,TRUE)

a<-table.element(a,mylm$coeff[[1]])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'b',1,TRUE)

a<-table.element(a,mylm$coeff[[2]])

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,'Descriptive Statistics about e[t]',2,TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'# observations',header=TRUE)

a<-table.element(a,length(mylm$resid))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'minimum',header=TRUE)

a<-table.element(a,min(mylm$resid))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'Q1',header=TRUE)

a<-table.element(a,quantile(mylm$resid,0.25))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'median',header=TRUE)

a<-table.element(a,median(mylm$resid))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'mean',header=TRUE)

a<-table.element(a,mean(mylm$resid))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'Q3',header=TRUE)

a<-table.element(a,quantile(mylm$resid,0.75))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'maximum',header=TRUE)

a<-table.element(a,max(mylm$resid))

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable.tab')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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