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WS 5 Rev1

*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 13:31:30 -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/t1257366755ujuysie9g3c5d9a.htm/, Retrieved Wed, 04 Nov 2009 21:32:44 +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/Nov/04/t1257366755ujuysie9g3c5d9a.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 «
26066,71209 27284,35715 23468,63596 17569,48678 18386,10921 299,0147348 1196,834684 831,9365187 -3988,353605 -6242,308346 -9045,288792 12409,07439 16425,02089 16493,8995 12446,60937 6393,58982 7339,105254 5195,536321 6169,581581 2708,764707 1833,691654 2214,942671 -1293,026461 17420,33979 18655,65255 21141,35418 7080,51468 -509,8906811 -5219,817628 -923,8680513 -5615,093362 -14704,27649 -14859,29297 -23144,82279 -33640,81148 -9967,60572 -8086,521352 -13716,06766 -16412,98845 -22166,37118 -17782,91749 -15212,8496 -18459,12841 -25839,97615 -24311,76732 -35008,89387 -34024,08831 -11995,15005 -12507,85168 -13827,37843 -15209,17268 -14177,59243 -4631,119177 5468,32628 9396,261466 13906,25015 15156,79953 8490,379779 12008,25839 32191,57938 34828,90038 32046,77075
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
52339,13387 52857,89946 54513,76898 44808,30593 43877,74819 -1539,166186 -780,3474886 426,6074601 -5853,923718 -6669,277075 -4528,220486 22960,40885 27396,36728 23116,35574 11275,82457 2849,767977 2846,127101 2354,726405 619,3730493 -5814,178915 -7996,277075 -5566,859073 5517,859176 25186,75525 31253,60975 25979,68364 6840,808357 -3741,200892 -10036,10273 -7205,87757 -13668,70552 -22139,15355 -21982,94341 -31948,23093 -33184,56927 1508,202093 6962,961913 -7956,115461 -15340,48383 -21813,16976 -19399,24713 -15443,27717 -20687,14669 -26276,4169 -24996,37881 -32345,51854 -26129,62824 5820,935265 8439,861371 -5734,159415 -14457,38806 -20251,3257 -15371,34649 -8126,818788 -7979,52202 -9449,183681 -9350,839573 -16076,77722 -10536,78875 17818,46067 23387,7101 9417,303638
 
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'George Udny Yule' @ 72.249.76.132


Model: Y[t] = c + b X[t] + e[t]
c-9.8282286248449e-08
b1.00828965373353


Descriptive Statistics about e[t]
# observations62
minimum-24637.5393073358
Q1-7234.85578616192
median-878.51911945212
mean4.99843893873819e-13
Q36737.6351651781
maximum30850.5861543915
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/13p5x1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/13p5x1257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/25k821257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/25k821257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/3zfme1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/3zfme1257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/4r4ey1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/4r4ey1257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/5p9hx1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/5p9hx1257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/6fsn61257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/6fsn61257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/75h0w1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/75h0w1257366687.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/8evnd1257366687.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/04/t1257366755ujuysie9g3c5d9a/8evnd1257366687.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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