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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_edabi.wasp

Title produced by software

Bivariate Explorative Data Analysis

Date of computation

Wed, 28 Oct 2009 09:50:45 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/28/t1256745234s9y3611wwwnwh14.htm/, Retrieved Mon, 06 May 2024 06:54:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=51472, Retrieved Mon, 06 May 2024 06:54:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Y[t] = c + b X[t] + e[t]

Estimated Impact

101

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Bivariate Explorative Data Analysis] [Workshop 4: Bivar...] [2009-10-27 21:13:37] [1433a524809eda02c3198b3ae6eebb69]
-    D    [Bivariate Explorative Data Analysis] [workshop 4 part 2] [2009-10-28 15:50:45] [ac4f1d4b47349b2602192853b2bc5b72] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

8,1
8,0
7,5
7,4
7,7
7,9
7,7
7,1
6,2
5,8
6,1
6,9
7,3
7,2
6,1
5,8
6,1
6,4
6,8
6,8
6,5
6,2
6,3
6,4
6,6
6,7
6,4
6,8
7,0
6,9
7,1
7,2
7,1
7,0
6,9
6,7
6,6
6,9
7,3
7,9
8,2
8,2
8,2
8,1
7,9
7,7
7,7
7,6
7,5
7,5
7,1
7,5
7,5
7,8
7,8
7,8
7,6
7,5
7,7
8,1
8,0

Dataseries Y:

Download CSV

Histogram

8,1
8,0
7,5
7,4
7,7
7,9
7,7
7,1
6,2
5,8
6,1
6,9
7,3
7,2
6,1
5,8
6,1
6,4
6,8
6,8
6,5
6,2
6,3
6,4
6,6
6,7
6,4
6,8
7,0
6,9
7,1
7,2
7,1
7,0
6,9
6,7
6,6
6,9
7,3
7,9
8,2
8,2
8,2
8,1
7,9
7,7
7,7
7,6
7,5
7,5
7,1
7,5
7,5
7,8
7,8
7,8
7,6
7,5
7,7
8,1
8,0

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	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51472&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51472&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51472&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

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	'Gwilym Jenkins' @ 72.249.127.135

Model: Y[t] = c + b X[t] + e[t]
c	1.81951349891415e-15
b	1

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 1.81951349891415e-15 \tabularnewline
b & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51472&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]1.81951349891415e-15[/C][/ROW]
[ROW][C]b[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51472&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51472&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Model: Y[t] = c + b X[t] + e[t]
c	1.81951349891415e-15
b	1

Descriptive Statistics about e[t]
# observations	61
minimum	-9.97011820995754e-16
Q1	-6.80266354049125e-18
median	1.0524571906739e-17
mean	1.03068824646756e-32
Q3	3.49106971331031e-17
maximum	1.38279749699295e-16

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 61 \tabularnewline
minimum & -9.97011820995754e-16 \tabularnewline
Q1 & -6.80266354049125e-18 \tabularnewline
median & 1.0524571906739e-17 \tabularnewline
mean & 1.03068824646756e-32 \tabularnewline
Q3 & 3.49106971331031e-17 \tabularnewline
maximum & 1.38279749699295e-16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51472&T=2

[TABLE]
[ROW][C]Descriptive Statistics about e[t][/C][/ROW]
[ROW][C]# observations[/C][C]61[/C][/ROW]
[ROW][C]minimum[/C][C]-9.97011820995754e-16[/C][/ROW]
[ROW][C]Q1[/C][C]-6.80266354049125e-18[/C][/ROW]
[ROW][C]median[/C][C]1.0524571906739e-17[/C][/ROW]
[ROW][C]mean[/C][C]1.03068824646756e-32[/C][/ROW]
[ROW][C]Q3[/C][C]3.49106971331031e-17[/C][/ROW]
[ROW][C]maximum[/C][C]1.38279749699295e-16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51472&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51472&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Descriptive Statistics about e[t]
# observations	61
minimum	-9.97011820995754e-16
Q1	-6.80266354049125e-18
median	1.0524571906739e-17
mean	1.03068824646756e-32
Q3	3.49106971331031e-17
maximum	1.38279749699295e-16

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Figure 6

PNG link

Postscript link

PDF link

Figure 7

PNG link

Postscript link

PDF link

Figure 8

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code