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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 computationFri, 06 Nov 2009 06:14:19 -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/06/t1257513546i0eij8xza5y47k8.htm/, Retrieved Sun, 28 Apr 2024 06:26:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54296, Retrieved Sun, 28 Apr 2024 06:26:31 +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)
-     [Kendall tau Rank Correlation] [3/11/2009] [2009-11-02 21:55:52] [b98453cac15ba1066b407e146608df68]
- RMPD    [Bivariate Explorative Data Analysis] [ws6] [2009-11-06 13:14:19] [f0f26816ac6124f58333f11f6c174000] [Current]
-           [Bivariate Explorative Data Analysis] [] [2009-11-11 10:30:54] [08fc5c07292c885b941f0cb515ce13f3]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4.1
4.1
4
3.9
3.8
3.8
4
4.4
4.6
4.6
4.6
4.7
4.8
4.8
4.7
4.7
4.7
4.6
5
5.4
5.5
5.6
5.6
5.8
6
6.1
6.1
6
6
6.1
6.5
7.1
7.4
7.4
7.5
7.6
7.8
7.8
7.7
7.6
7.5
7.3
7.6
8
8
7.9
7.8
7.7
7.8
7.7
7.5
7.3
7.1
7
7.3
7.8
7.9
7.9
7.8
7.8
7.9
7.8
7.6
7.4
7.2
6.9
7.1
7.5
7.6
7.4
7.3
7.2
7.3
7.2
7.1
7
6.9
6.8
7.2
7.6
7.7
7.6
7.5
7.5
7.6
7.6
7.6
7.5
7.3
7.2
7.4
8
8.2
8
7.7
7.7
7.8
7.8
7.7
7.5
7.3
7.1
7.1
7.2
6.8
6.6
6.4
6.4
6.5
6.3
5.9
5.5
5.2
4.9
5.4
5.8
5.7
5.6
5.5
5.4
5.4
5.4
5.5
5.8
5.7
5.4
5.6
5.8
6.2
6.8
6.7
6.7
6.4
6.3
6.3
6.4
6.3
6
6.3
6.3
6.6
7.5
7.8
7.9
7.8
7.6
7.5
7.6
7.5
7.3
7.6
7.5
7.6
7.9
7.9
8.1
8.2
8
7.5
6.8
6.5
6.6
7.6
8
8.1
7.7
7.5
7.6
7.8
7.8
7.8
7.5
7.5
7.1
7.5
7.5
7.6
7.7
7.7
7.9
8.1
8.2
8.2
8.2
7.9
7.3
6.9
6.6
6.7
6.9
7
7.1
7.2
7.1
6.9
7
6.8
6.4
6.7
6.6
6.4
6.3
6.2
6.5
6.8
6.8
6.4
6.1
5.8
6.1
7.2
7.3
6.9
6.1
5.8
6.2
7.1
7.7
7.9
7.7
7.4
7.5
8
8.1
Dataseries Y:
Download CSV
Histogram 
153.3
154.5
155.2
156.9
157
157.4
157.2
157.5
158
158.5
159
159.3
160
160.8
161.9
162.5
162.7
162.8
162.9
163
164
164.7
164.8
164.9
165
165.8
166.1
167.2
167.7
168.3
168.6
168.9
169.1
169.5
169.6
169.7
169.8
170.4
170.9
171.9
171.9
172
172
172.4
173
173.7
173.8
173.8
173.9
174.6
175
175.9
176
175.1
175.6
175.9
176.7
176.1
176.1
176.2
176.3
177.8
178.5
179.4
179.5
179.6
179.7
179.7
179.8
179.9
180.2
180.4
180.4
181.3
181.9
182.5
182.7
183.1
183.6
183.7
183.8
183.9
184.1
184.4
184.5
185.9
186.6
187.6
187.8
187.9
188
188.3
188.4
188.5
188.5
188.6
188.6
189.4
190
191.9
192.5
193
193.5
193.9
194.2
194.9
194.9
194.9
194.9
195.5
196
196.2
196.2
196.2
196.2
197
197.7
198
198.2
198.5
198.6
199.5
200
201.3
202.2
202.9
203.5
203.5
204
204.1
204.3
204.5
204.8
205.1
205.7
206.5
206.9
207.1
207.8
208
208.5
208.6
209
209.1
209.7
209.8
209.9
210
210.8
211.4
211.7
212
212.2
212.4
212.9
213.4
213.7
214
214.3
214.8
215
215.9
216.4
216.9
217.2
217.5
217.9
218.1
218.6
218.9
219.3
220.4
220.9
221
221.8
222
222.2
222.5
222.9
223.1
223.4
224
225.1
225.5
225.9
226.3
226.5
227
227.3
227.8
228.1
228.4
228.5
228.8
229
229.1
229.3
229.6
229.9
230
230.2
230.8
231
231.7
231.9
233
235.1
236
236.9
237.1
237.5
238.2
238.9
239.1
240
240.2
240.5
240.7
241.1
241.4
242.2
242.9
243.2
243.9

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=54296&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=54296&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54296&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]
c143.281751504987
b7.94545717837102

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 143.281751504987 \tabularnewline
b & 7.94545717837102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54296&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]143.281751504987[/C][/ROW]
[ROW][C]b[/C][C]7.94545717837102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54296&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54296&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]
c143.281751504987
b7.94545717837102






Descriptive Statistics about e[t]
# observations224
minimum-35.4563174962814
Q1-20.9099524776367
median4.09368250371854
mean9.3870224093795e-16
Q315.8564103688520
maximum50.6345968604606

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 224 \tabularnewline
minimum & -35.4563174962814 \tabularnewline
Q1 & -20.9099524776367 \tabularnewline
median & 4.09368250371854 \tabularnewline
mean & 9.3870224093795e-16 \tabularnewline
Q3 & 15.8564103688520 \tabularnewline
maximum & 50.6345968604606 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54296&T=2

[TABLE]
[ROW][C]Descriptive Statistics about e[t][/C][/ROW]
[ROW][C]# observations[/C][C]224[/C][/ROW]
[ROW][C]minimum[/C][C]-35.4563174962814[/C][/ROW]
[ROW][C]Q1[/C][C]-20.9099524776367[/C][/ROW]
[ROW][C]median[/C][C]4.09368250371854[/C][/ROW]
[ROW][C]mean[/C][C]9.3870224093795e-16[/C][/ROW]
[ROW][C]Q3[/C][C]15.8564103688520[/C][/ROW]
[ROW][C]maximum[/C][C]50.6345968604606[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54296&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54296&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]
# observations224
minimum-35.4563174962814
Q1-20.9099524776367
median4.09368250371854
mean9.3870224093795e-16
Q315.8564103688520
maximum50.6345968604606


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')