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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 08:39:55 -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/t1257349252irswcy2p71kx15g.htm/, Retrieved Mon, 29 Apr 2024 16:19:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53654, Retrieved Mon, 29 Apr 2024 16:19:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155

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] [Ws 5 bivariate X ...] [2009-11-04 15:39:55] [ba02bcb7e07025bbb7f8a074d38ad767] [Current]
-    D    [Bivariate Explorative Data Analysis] [Ws 5 bivariate Y ...] [2009-11-04 15:47:24] [62d3ced7fb1c10c35a82e9cb1d0d0e2b]
-    D    [Bivariate Explorative Data Analysis] [Ws 5 bivariate X ...] [2009-11-04 16:22:44] [62d3ced7fb1c10c35a82e9cb1d0d0e2b]
-    D      [Bivariate Explorative Data Analysis] [WS 5 bivariate EDA] [2009-11-22 17:49:18] [005293453b571dbccb80b45226e44173]
-    D        [Bivariate Explorative Data Analysis] [WS 5 Bivariate EDA 1] [2009-11-22 17:53:15] [005293453b571dbccb80b45226e44173]
-    D          [Bivariate Explorative Data Analysis] [WS 5 Bivariate EDA 2] [2009-11-22 18:01:47] [005293453b571dbccb80b45226e44173]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
16.4
17.8
22.3
22.8
18.3
22.4
23.9
21.3
23.0
21.4
21.2
20.9
17.9
20.7
22.2
19.8
17.7
19.6
20.8
19.8
18.6
21.
18.6
18.9
17.3
20.0
19.9
19.5
16.2
17.6
19.8
19.4
17.2
21.1
17.8
17.5
18.0
19.1
17.7
19.2
15.1
16.3
18.6
17.2
17.8
19.1
16.6
16.0
16.7
17.4
17.9
17.8
13.9
15.9
17.9
15.4
16.4
17.9
15.3
14.6
14.9
15.0
16.7
16.3
11.7
15.1
15.5
15.0
15.4
16.0
14.7
14.8
Dataseries Y:
Download CSV
Histogram 
94.3
99.4
115.7
116.8
99.8
96.0
115.9
109.1
117.3
109.8
112.8
110.7
100.0
113.3
122.4
112.5
104.2
92.5
117.2
109.3
106.1
118.8
105.3
106.0
102.0
112.9
116.5
114.8
100.5
85.4
86.6
109.9
100.7
115.5
100.7
99.0
102.3
108.8
105.9
113.2
95.7
80.9
113.9
98.1
102.8
104.7
95.9
94.6
101.6
103.9
110.3
114.1
96.8
87.4
111.4
97.4
102.9
112.7
97.0
95.1
96.9
98.6
111.7
109.8
89.9
87.4
104.5
98.1
102.7
105.4
97.0
97.4

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53654&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53654&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53654&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Model: Y[t] = c + b X[t] + e[t]
c60.2085583129829
b2.43284632663735

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 60.2085583129829 \tabularnewline
b & 2.43284632663735 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53654&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]60.2085583129829[/C][/ROW]
[ROW][C]b[/C][C]2.43284632663735[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53654&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53654&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]
c60.2085583129829
b2.43284632663735






Descriptive Statistics about e[t]
# observations72
minimum-21.7789155804024
Q1-2.45805656546713
median0.925573062566858
mean-2.23782340073709e-16
Q33.97741693479436
maximum10.8629080321734

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 72 \tabularnewline
minimum & -21.7789155804024 \tabularnewline
Q1 & -2.45805656546713 \tabularnewline
median & 0.925573062566858 \tabularnewline
mean & -2.23782340073709e-16 \tabularnewline
Q3 & 3.97741693479436 \tabularnewline
maximum & 10.8629080321734 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53654&T=2

[TABLE]
[ROW][C]Descriptive Statistics about e[t][/C][/ROW]
[ROW][C]# observations[/C][C]72[/C][/ROW]
[ROW][C]minimum[/C][C]-21.7789155804024[/C][/ROW]
[ROW][C]Q1[/C][C]-2.45805656546713[/C][/ROW]
[ROW][C]median[/C][C]0.925573062566858[/C][/ROW]
[ROW][C]mean[/C][C]-2.23782340073709e-16[/C][/ROW]
[ROW][C]Q3[/C][C]3.97741693479436[/C][/ROW]
[ROW][C]maximum[/C][C]10.8629080321734[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53654&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53654&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]
# observations72
minimum-21.7789155804024
Q1-2.45805656546713
median0.925573062566858
mean-2.23782340073709e-16
Q33.97741693479436
maximum10.8629080321734


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')