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WS5

*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: Wed, 04 Nov 2009 09:13:40 -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/04/t12573512853w5tl5k66n9oe4q.htm/, Retrieved Wed, 04 Nov 2009 17:14:54 +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/04/t12573512853w5tl5k66n9oe4q.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 «
326011 328282 317480 317539 313737 312276 309391 302950 300316 304035 333476 337698 335932 323931 313927 314485 313218 309664 302963 298989 298423 301631 329765 335083 327616 309119 295916 291413 291542 284678 276475 272566 264981 263290 296806 303598 286994 276427 266424 267153 268381 262522 255542 253158 243803 250741 280445 285257 270976 261076 255603 260376 263903 264291 263276 262572 256167 264221 293860 300713 287224
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
71660 64496 58078 53511 50883 48614 45844 41303 31060 27860 57794 66642 70639 64864 58397 54424 44148 42065 38546 35324 26599 24935 51349 58672 61271 53145 46211 40744 41248 39032 35907 33335 23988 23099 46390 51588 51579 45390 39215 38433 37676 36055 32986 30953 23558 22487 43528 47913 48621 42169 38444 38692 38124 37886 37310 34689 26450 25565 46562 52653 54807
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Model: Y[t] = c + b X[t] + e[t]
c-62294.7867022734
b0.363472995643526


Descriptive Statistics about e[t]
# observations61
minimum-22404.9364466789
Q1-4316.48689287264
median1545.95529016160
mean3.03436692894272e-14
Q34977.38004536688
maximum15458.5919195321
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/18fwu1257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/18fwu1257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/2smcs1257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/2smcs1257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/308xa1257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/308xa1257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/483eb1257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/483eb1257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/5g7xj1257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/5g7xj1257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/610771257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/610771257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/7m1s41257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/7m1s41257351216.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/803461257351216.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t12573512853w5tl5k66n9oe4q/803461257351216.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')
 





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