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WS305

*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: Thu, 29 Oct 2009 05:44:40 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2.htm/, Retrieved Thu, 29 Oct 2009 12:45:48 +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/Oct/29/t1256816746o6py5s50pzubza2.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 «

10,35713947 10,30547997 10,42945791 10,57438912 10,42531246 10,13038405 10,84821024 10,72753141 10,86891125 10,79063779 10,63933496 10,81144365 10,39656663 10,41568224 10,48136416 10,51959169 10,48237361 9,950943494 10,97767053 10,91426995 11,09041592 10,85069539 10,84242001 10,75023526 10,48301801 10,41190027 10,46860248 10,63748873 10,45923874 9,962228048 10,93535444 10,80427879 10,99747248 10,78109982 10,76789534 10,82966921 10,59810865 10,43848858 10,51488223 10,74410601 10,50717491 10,0804615 10,95563697 10,94002938 10,96226694 11,0397167 10,79812555 10,84286962 10,58749308 10,41069664 10,54867797 10,67570004 10,32875529 9,99679573 10,77964355 10,7396089 10,834391 10,78132847 10,55555229 10,69448713

Dataseries Y:

» Textbox « » Textfile « » CSV «

7.6 8 8.1 7.7 7.5 7.6 7.8 7.8 7.8 7.5 7.5 7.1 7.5 7.5 7.6 7.7 7.7 7.9 8.1 8.2 8.2 8.2 7.9 7.3 6.9 6.6 6.7 6.9 7 7.1 7.2 7.1 6.9 7 6.8 6.4 6.7 6.6 6.4 6.3 6.2 6.5 6.8 6.8 6.4 6.1 5.8 6.1 7.2 7.3 6.9 6.1 5.8 6.2 7.1 7.7 7.9 7.7 7.4 7.5

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	4 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Model: Y[t] = c + b X[t] + e[t]
c	5.70277047569052
b	0.137627279083555

Descriptive Statistics about e[t]
# observations	60
minimum	-1.38888711433964
Q1	-0.447991646270688
median	0.0331284219232342
mean	9.12536828508633e-20
Q3	0.52485106017399
maximum	1.0038778416193

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/1d8241256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/1d8241256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/23ksv1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/23ksv1256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/36r0o1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/36r0o1256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/4jqi61256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/4jqi61256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/5duna1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/5duna1256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/6cdbt1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/6cdbt1256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/7ne0y1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/7ne0y1256816673.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/82g5c1256816673.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/29/t1256816746o6py5s50pzubza2/82g5c1256816673.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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