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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, 28 Oct 2009 09:49:46 -0600
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/Oct/28/t1256745360k1u0uxhwqh4q978.htm/, Retrieved Mon, 06 May 2024 02:29:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=51476, Retrieved Mon, 06 May 2024 02:29:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
- RMPD    [Bivariate Explorative Data Analysis] [WS4 bivariate EDA...] [2009-10-28 15:49:46] [557d56ec4b06cd0135c259898de8ce95] [Current]
-   PD      [Bivariate Explorative Data Analysis] [Workshop 4] [2009-10-28 17:03:27] [74be16979710d4c4e7c6647856088456]
-   PD      [Bivariate Explorative Data Analysis] [Workshop4] [2009-10-28 17:07:35] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3,99583882
4,137042328
4,138229803
4,161876877
4,181438196
4,057753019
4,140497568
4,105476121
4,209970517
4,121822377
4,093106357
4,169677105
4,034043733
4,169405375
4,073021454
4,076688221
4,025794834
4,202029854
4,045122414
4,209770649
4,004321374
4,084565108
4,06611536
3,966139262
3,95331395
4,010491882
4,095433075
4,124095387
4,035014258
4,072897547
4,038458858
4,028380089
3,968356845
4,018417971
4,088540477
4,037873401
3,970087387
4,06651447
4,04453976
3,993001403
3,872093116
3,922341324
3,927659796
3,914920585
4,018403531
3,93132563
3,931227149
3,902952309
3,799437999
3,88056018
3,857361682
3,789050405
3,78277776
3,86152898
3,818122918
3,886956404
3,806258265
3,847698702
3,918890159
3,982874001
Dataseries Y:
Download CSV
Histogram 
4,012183183
4,106938451
4,108010484
4,141313872
4,185701802
4,048771866
4,134599399
4,089850968
4,186211251
4,103672176
4,086855545
4,13620441
4,049766084
4,144581392
4,048408136
4,07195101
4,048784424
4,216331476
4,045716502
4,218291042
4,001665006
4,067489319
4,047231333
3,936061117
3,972501114
3,989660544
4,080761732
4,112204927
4,040884065
4,066263013
4,026670229
4,009421149
3,956053116
4,012681854
4,068386696
4,028650315
3,971412582
4,053322538
4,040778316
4,002711031
3,909480253
3,947800218
3,921515845
3,930913782
4,029269377
3,934086181
3,939299911
3,909853912
3,845703063
3,896717236
3,876659139
3,8301881
3,824928136
3,895183885
3,828587723
3,897376051
3,803585788
3,841106362
3,921397953
3,959420373

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 4 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51476&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51476&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51476&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 time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Model: Y[t] = c + b X[t] + e[t]
c0.437385408391654
b0.890726040194982

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 0.437385408391654 \tabularnewline
b & 0.890726040194982 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51476&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]0.437385408391654[/C][/ROW]
[ROW][C]b[/C][C]0.890726040194982[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51476&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51476&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]
c0.437385408391654
b0.890726040194982






Descriptive Statistics about e[t]
# observations60
minimum-0.0340678110947644
Q1-0.00851824374919015
median-0.00235338368250747
mean-5.20247636203591e-19
Q30.00922533668249053
maximum0.0360886549738251

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 60 \tabularnewline
minimum & -0.0340678110947644 \tabularnewline
Q1 & -0.00851824374919015 \tabularnewline
median & -0.00235338368250747 \tabularnewline
mean & -5.20247636203591e-19 \tabularnewline
Q3 & 0.00922533668249053 \tabularnewline
maximum & 0.0360886549738251 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51476&T=2

[TABLE]
[ROW][C]Descriptive Statistics about e[t][/C][/ROW]
[ROW][C]# observations[/C][C]60[/C][/ROW]
[ROW][C]minimum[/C][C]-0.0340678110947644[/C][/ROW]
[ROW][C]Q1[/C][C]-0.00851824374919015[/C][/ROW]
[ROW][C]median[/C][C]-0.00235338368250747[/C][/ROW]
[ROW][C]mean[/C][C]-5.20247636203591e-19[/C][/ROW]
[ROW][C]Q3[/C][C]0.00922533668249053[/C][/ROW]
[ROW][C]maximum[/C][C]0.0360886549738251[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51476&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51476&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]
# observations60
minimum-0.0340678110947644
Q1-0.00851824374919015
median-0.00235338368250747
mean-5.20247636203591e-19
Q30.00922533668249053
maximum0.0360886549738251


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')