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workshop 4/part 2

*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 09:56:48 -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/t1256659176qba9obdjb1jg41g.htm/, Retrieved Tue, 27 Oct 2009 16:59:44 +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/t1256659176qba9obdjb1jg41g.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 «

27501 26577 25705 25147 24740 24281 23577 22598 21903 21360 24226 25468 26858 25684 24938 24347 25137 24479 23810 23301 23076 23049 25870 27291 28706 28220 26612 25453 26066 25696 23851 24203 22433 19195 21955 23326 24490 23996 22181 22550 23013 22826 20544 20814 18518 17964 21139 21818 23028 21890 21833 22289 22380 22316 22614 22775 21221 20915 23889 24703

Dataseries Y:

» Textbox « » Textfile « » CSV «

10.22197765 10.18780146 10.1544408 10.13249388 10.11617665 10.09744943 10.06802694 10.02561669 9.994378893 9.969275293 10.09518172 10.14517804 10.19831901 10.15362351 10.12414802 10.10016392 10.13209614 10.10557089 10.07786094 10.05625156 10.0465484 10.04537766 10.16083928 10.21431226 10.26486144 10.24778623 10.18911752 10.14458889 10.16838706 10.15409062 10.07958142 10.09423187 10.01828837 9.862405107 9.996750183 10.0573239 10.10602015 10.08564243 10.00699135 10.02349034 10.04381455 10.03565552 9.930324206 9.943381116 9.826498511 9.796125034 9.958874955 9.990490596 10.04446615 9.993785191 9.991177866 10.01184856 10.01592298 10.01305919 10.02632446 10.03341872 9.962746536 9.948221884 10.08117338 10.11467997

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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Model: Y[t] = c + b X[t] + e[t]
c	9.0526087242152
b	4.28766521137769e-05

Descriptive Statistics about e[t]
# observations	60
minimum	-0.0267198687870995
Q1	-0.000481308699539173
median	0.00271370958177596
mean	1.28163143527469e-19
Q3	0.00403017829375541
maximum	0.00457438857882977

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/1osz41256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/1osz41256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/2reo31256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/2reo31256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/3jc131256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/3jc131256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/4oqcf1256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/4oqcf1256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/5lofk1256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/5lofk1256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/61l351256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/61l351256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/7ob3b1256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/7ob3b1256659006.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/851xx1256659006.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t1256659176qba9obdjb1jg41g/851xx1256659006.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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