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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_edabi.wasp
Title produced by softwareBivariate Explorative Data Analysis
Date of computationWed, 04 Nov 2009 10:40:48 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/04/t1257356482isse9hibybuhpb3.htm/, Retrieved Mon, 29 Apr 2024 15:33:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53756, Retrieved Mon, 29 Apr 2024 15:33:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact193

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Explorative Data Analysis] [workshop 5] [2009-11-04 17:13:22] [0a7d38ad9c7f1a2c46637c75a8a0e083]
-    D    [Bivariate Explorative Data Analysis] [workshop 5] [2009-11-04 17:40:48] [30a48cc4afddc7f052994dfe2358176d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16,1387531550
14,1499707810
12,8051002773
12,2826650254
11,5938826513
11,1163179032
11,0163179032
11,1163179032
10,7826650254
10,4826650254
14,4377945217
14,4826650254
14,4826650254
13,7938826513
12,7051002773
12,3051002773
11,1275355291
10,6499707810
9,7611884069
9,5611884069
9,1611884069
9,4275355291
13,7602297736
14,8153592699
14,7817063921
13,0929240181
11,4153592699
10,2265768958
9,9377945217
9,6490121477
9,9377945217
11,4153592699
10,6265768958
10,0041416440
13,0592711403
12,1929240181
10,8817063921
10,0592711403
9,0480535144
9,2368358884
9,2704887662
8,4041416440
6,9041416440
6,2592711403
5,6256182625
7,7919653848
14,3256182625
14,9490121477
13,3602297736
11,0153592699
8,8256182625
9,7919653848
11,9368358884
12,5377945217
12,3051002773
11,2275355291
9,9051002773
10,6714473995
14,4826650254
14,5387531550
13,6499707810
Dataseries Y:
Download CSV
Histogram 
5,2015218082
4,9781165096
4,1717377038
3,4185483008
3,3951430023
3,6483324052
3,7483324052
3,6483324052
3,3185483008
3,1185483008
3,3121694949
4,3185483008
4,5185483008
4,3951430023
3,7717377038
3,3717377038
3,4249271067
3,4781165096
3,4547112111
3,2547112111
3,0547112111
3,1249271067
3,2653588979
4,1589800920
4,4291959876
4,2057906890
3,6589800920
3,3355747935
3,3121694949
3,3887641964
3,4121694949
3,4589800920
3,5355747935
3,1823853905
2,7760065846
2,8057906890
2,5291959876
2,1760065846
2,3994118831
2,4228171817
2,4526012861
2,2823853905
1,9823853905
1,5760065846
1,3462224802
1,1164383758
1,4462224802
2,4887641964
2,9653588979
2,6589800920
2,4462224802
2,1164383758
2,3228171817
2,6121694949
2,5717377038
2,3249271067
1,8717377038
1,4419535993
1,5185483008
2,2015218082
2,5781165096

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 8 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53756&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53756&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53756&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'George Udny Yule' @ 72.249.76.132






Model: Y[t] = c + b X[t] + e[t]
c0.742838099903583
b0.200760440492279

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 0.742838099903583 \tabularnewline
b & 0.200760440492279 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53756&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]0.742838099903583[/C][/ROW]
[ROW][C]b[/C][C]0.200760440492279[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53756&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53756&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Model: Y[t] = c + b X[t] + e[t]
c0.742838099903583
b0.200760440492279






Descriptive Statistics about e[t]
# observations61
minimum-2.17263305240732
Q1-0.526017220124491
median0.209836959978007
mean5.06660116866751e-17
Q30.624389436693675
maximum1.39452404274999

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 61 \tabularnewline
minimum & -2.17263305240732 \tabularnewline
Q1 & -0.526017220124491 \tabularnewline
median & 0.209836959978007 \tabularnewline
mean & 5.06660116866751e-17 \tabularnewline
Q3 & 0.624389436693675 \tabularnewline
maximum & 1.39452404274999 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53756&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]-2.17263305240732[/C][/ROW]
[ROW][C]Q1[/C][C]-0.526017220124491[/C][/ROW]
[ROW][C]median[/C][C]0.209836959978007[/C][/ROW]
[ROW][C]mean[/C][C]5.06660116866751e-17[/C][/ROW]
[ROW][C]Q3[/C][C]0.624389436693675[/C][/ROW]
[ROW][C]maximum[/C][C]1.39452404274999[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53756&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53756&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Descriptive Statistics about e[t]
# observations61
minimum-2.17263305240732
Q1-0.526017220124491
median0.209836959978007
mean5.06660116866751e-17
Q30.624389436693675
maximum1.39452404274999


Figures (Output of Computation)

Input Parameters & R Code

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')