Home » date » 2009 » Oct » 27 »

ws4 part2 ex3

*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, 27 Oct 2009 12:11:21 -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/27/t1256667160dmp3mjuoesy5ebi.htm/, Retrieved Tue, 27 Oct 2009 19:12:40 +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/27/t1256667160dmp3mjuoesy5ebi.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 «

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.5625 1.5625 1.5625 2.2500 2.2500 2.2500 3.0625 3.0625 4.0000 4.0000 5.0625 5.0625 6.2500 6.2500 6.2500 7.5625 7.5625 7.5625 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 9.0000 10.5625 10.5625 10.5625 10.5625 7.5625 4.0000 1.0000 1.0000 0.2500 0.0625 0.0625 0.0625 0.0625 0.0625

Dataseries Y:

» Textbox « » Textfile « » CSV «

4.2025 4.4521 4.3681 4.2025 4.3264 4.2436 4.2436 4.3264 4.2849 4.2436 4.2849 4.2436 4.3681 4.2849 4.3681 5.1984 5.4289 5.5225 6.3504 6.9169 6.6564 7.2900 7.8961 8.8209 9.2416 10.7584 11.0889 12.2500 12.6736 12.7449 13.6161 14.5924 14.3641 15.6816 16.4836 16.4025 16.2409 15.5236 16.1604 15.0544 16.1604 16.2409 16.7281 15.9201 16.0801 16.0801 17.5561 18.4900 18.2329 14.5924 9.9225 6.2001 3.2761 1.5876 1.1236 0.7056 0.6084 0.4900 0.1296 0.1225

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Model: Y[t] = c + b X[t] + e[t]
c	2.26158562530901
b	1.51394637469476

Descriptive Statistics about e[t]
# observations	60
minimum	-3.78830508393815
Q1	-0.122404562344079
median	0.468067999996225
mean	-1.13118426662654e-17
Q3	0.61069648084406
maximum	1.24893503162777

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/1hidd1256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/1hidd1256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/2yhye1256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/2yhye1256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/3cma31256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/3cma31256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/45d641256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/45d641256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/5ngf91256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/5ngf91256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/6m2bd1256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/6m2bd1256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/78txo1256667074.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/78txo1256667074.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/840rj1256667075.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256667160dmp3mjuoesy5ebi/840rj1256667075.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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