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WS5-Bivariate EDA Et en Et'

*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: Mon, 02 Nov 2009 05:55:00 -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/02/t1257166583oip7juh3nnfae11.htm/, Retrieved Mon, 02 Nov 2009 13:56:32 +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/02/t1257166583oip7juh3nnfae11.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 «

-1345.524047 -2903.542911 426.0061823 128.1400331 -360.1263768 -259.1728883 -851.6235307 469.1211691 2334.282666 -64.10234394 2157.52892 733.142615 250.1555364 -1624.55119 1808.534593 2905.586023 1848.615216 655.7679328 1162.523228 1123.254495 2741.764052 400.2289131 1425.329685 1570.489633 719.8782672 -1347.917082 745.7103047 1403.037429 546.7694751 -3489.706533 -2062.764672 -2280.596458 -1467.803967 -942.9943854 -886.3881872 -1996.031094 -727.0034212 -4770.786129 -2052.208885 82.89190751 -2652.026713 -3341.779671 -1548.248651 -2073.976825 -671.6197169 -996.3949052 -1187.367253 -2360.1001 -1662.506024 -5020.72902 -1908.497264 -118.53264 -2970.561859 -1405.816092 -1646.800071 -2214.467019 -665.0835758 -844.221019 -1508.620238 -946.0127792 -1476.407844 -2652.22204 -492.9050182 1170.670463 -1799.745861 -362.6308353 -545.7584742 -1249.361082 287.2918716 305.302748 -1730.877381 425.2830983 -804.554091 -2345.11198 1234.432456 -187.8556572 etc...

Dataseries Y:

» Textbox « » Textfile « » CSV «

-9,950226456 -50,34292536 -6,014069555 -16,96378285 -30,80492445 38,72826771 -8,137816864 27,54351825 19,61109823 33,58231736 87,90010911 23,6982651 19,50621454 -155,5096355 -191,6906481 36,5201684 -125,4821252 -2,882323942 -88,03410605 -9,502682971 -29,73106637 -16,32715355 -56,49376266 59,23658854 56,89313054 -45,58155181 -35,39887115 -95,16443446 -32,37235783 83,251308 205,2927982 180,0921499 -52,09798504 -48,03094912 -216,5252184 -246,9460531 204,2802909 -86,90284266 -172,6419936 40,47318523 -572,696242 144,6375007 42,23202084 -243,0953917 -25,0048854 -140,55699 -198,2124341 -445,4037679 62,53645493 -129,1123364 -238,8775543 -53,8696505 -271,4195919 -38,57712427 -135,7379016 -116,4300565 -517,306661 -128,7052112 -168,687742 -387,9452614 -224,4330961 -132,0323207 -562,1477765 183,175254 -472,5757885 -169,1114404 -181,8014711 -214,515754 -245,8199438 9,420155311 -717,8145616 -246,3604598 74,80515564 87,19718014 88,97345562 186,499770 etc...

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	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Model: Y[t] = c + b X[t] + e[t]
c	-1.82170970759100e-10
b	0.0441796308222708

Descriptive Statistics about e[t]
# observations	120
minimum	-641.345037908619
Q1	-139.590781222499
median	-7.15668520084248
mean	2.9120224750064e-15
Q3	125.765411721136
maximum	553.938771909321

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/1zfo01257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/1zfo01257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/27h3n1257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/27h3n1257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/3c04z1257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/3c04z1257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/4sy051257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/4sy051257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/5mrm81257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/5mrm81257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/69l6g1257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/69l6g1257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/7zmmt1257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/7zmmt1257166497.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/804ep1257166497.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257166583oip7juh3nnfae11/804ep1257166497.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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