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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 11:33:22 -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/t1257359677f7rymo5slzjcw2c.htm/, Retrieved Mon, 29 Apr 2024 08:21:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53784, Retrieved Mon, 29 Apr 2024 08:21:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsETSHWW5(11)
Estimated Impact125

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: (Y[t]...] [2009-11-04 18:33:22] [af31b947d6acaef3c71f428c4bb503e9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,628621083
0,318767883
0,041703886
0,02627228
0,328491871
0,820417862
0,510858263
0,25806906
0,615426657
0,87940785
0,84911425
0,900729052
0,213224654
0,308673849
0,627499448
0,366618647
0,109425439
-0,57940016
-0,314831766
-0,089969772
-0,409676171
-0,684373776
-0,656282179
-1,065988578
-1,075401378
-0,799218182
-0,650686183
-0,634209387
-0,532136596
-0,478760192
-0,523898198
-1,020374994
-1,009494193
-0,9356598
-1,1852194
-0,7958066
-0,072853008
0,61628378
0,758796971
1,122778165
1,290153351
2,031198541
1,788702938
2,838280126
3,422114519
3,52330651
3,008297715
3,074334111
2,332278908
0,755214912
0,243012909
-0,070069894
-0,464473899
-1,764491488
-1,78595949
-2,752876686
-3,476123879
-4,055830278
-3,158472681
-3,565536678
Dataseries Y:
Download CSV
Histogram 
0,3307415885252
0,0294054201834
-0,2973179466524
-0,2478797180063
-0,1770627958916
-0,0035735370933
0,0924179578814
0,0178051563753
0,2418561865275
0,1966390885407
0,1993114252243
0,1846135734646
0,1618987116543
0,2033199302497
0,2140092769839
0,2220262870347
0,2874985357822
0,2768091890479
0,3262474176940
0,3730133096566
0,4703409729730
0,3130983599102
0,0304685483534
-0,0722037883302
-0,0775484616973
-0,0428080848109
-0,0294464013930
-0,0973783611901
-0,1252252707336
-0,1559571425947
-0,0091912506322
0,1587407091649
0,0507236991142
-0,2931572305307
-0,5971657355561
-0,8918210621890
-1,0276849817832
-0,7288085244910
-0,5606639390598
-0,4058810370466
-0,3909705596529
-0,5094642908039
-0,6867494289936
-0,5918814767267
-0,6357624063717
-0,2555923058645
0,0989779705148
0,3350545157430
0,1537608725281
-0,0729624943077
-0,2529199691809
-0,0248604340034
0,4152246162502
0,5243651690087
0,6377268524266
0,6096673172491
0,4482035735269
0,4455312368433
0,5695822669955
0,6428589001598

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=53784&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=53784&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53784&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]
c7.25020524252222e-12
b-0.108728115388346

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 7.25020524252222e-12 \tabularnewline
b & -0.108728115388346 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53784&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]7.25020524252222e-12[/C][/ROW]
[ROW][C]b[/C][C]-0.108728115388346[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53784&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53784&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]
c7.25020524252222e-12
b-0.108728115388346






Descriptive Statistics about e[t]
# observations60
minimum-1.03560615205066
Q1-0.21263328539519
median0.0468308889862633
mean-1.50613751794445e-17
Q30.284819613659866
maximum0.669321069698887

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 60 \tabularnewline
minimum & -1.03560615205066 \tabularnewline
Q1 & -0.21263328539519 \tabularnewline
median & 0.0468308889862633 \tabularnewline
mean & -1.50613751794445e-17 \tabularnewline
Q3 & 0.284819613659866 \tabularnewline
maximum & 0.669321069698887 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53784&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]-1.03560615205066[/C][/ROW]
[ROW][C]Q1[/C][C]-0.21263328539519[/C][/ROW]
[ROW][C]median[/C][C]0.0468308889862633[/C][/ROW]
[ROW][C]mean[/C][C]-1.50613751794445e-17[/C][/ROW]
[ROW][C]Q3[/C][C]0.284819613659866[/C][/ROW]
[ROW][C]maximum[/C][C]0.669321069698887[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53784&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53784&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-1.03560615205066
Q1-0.21263328539519
median0.0468308889862633
mean-1.50613751794445e-17
Q30.284819613659866
maximum0.669321069698887


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')