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workshop 4

*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 14:58:35 -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/t12566771882jiq9y3874pn4ed.htm/, Retrieved Tue, 27 Oct 2009 21:59:57 +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/t12566771882jiq9y3874pn4ed.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 «

123.560 122.117 121.782 121.789 122.273 121.683 119.869 118.873 117.607 122.783 124.454 127.064 125.166 124.554 124.272 128.836 127.408 126.420 124.465 124.526 124.379 130.189 132.196 134.893 132.709 129.955 127.947 130.369 129.852 124.278 126.141 121.743 110.898 117.707 120.738 121.445 120.439 116.313 117.173 119.773 119.639 113.006 113.776 107.866 106.924 114.562 115.367 116.602 114.393 115.140 117.623 119.361 120.527 121.660 122.852 119.325 119.151 126.494 127.832 128.780

Dataseries Y:

» Textbox « » Textfile « » CSV «

111.632 106.707 108.827 108.413 106.249 104.861 102.382 100.320 100.228 117.089 121.523 114.948 112.831 107.605 108.928 101.993 102.850 99.925 101.536 99.450 98.305 110.159 109.483 106.810 96.279 91.982 90.276 90.999 86.622 83.117 80.367 77.550 77.443 92.844 92.175 84.822 81.632 78.872 81.485 80.651 78.192 76.844 76.335 71.415 73.889 86.822 86.371 83.469 82.662 82.880 89.406 95.378 97.657 100.247 99.180 97.493 101.628 114.585 115.669 111.311

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	-64.3457752923572
b	1.31324897589451

Descriptive Statistics about e[t]
# observations	60
minimum	-20.9417637759522
Q1	-7.42306559821591
median	0.0499317232980296
mean	-4.1413631783153e-16
Q3	9.33412539029003
maximum	22.4296872463819

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/1t09r1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/1t09r1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/2g44q1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/2g44q1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/3q5wy1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/3q5wy1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/4q0vk1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/4q0vk1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/5pmpq1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/5pmpq1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/6hsyu1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/6hsyu1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/7ezus1256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/7ezus1256677111.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/8wf931256677111.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/27/t12566771882jiq9y3874pn4ed/8wf931256677111.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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