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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 09:51:13 -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/t12573535739woo7esx20an9za.htm/, Retrieved Mon, 29 Apr 2024 09:48:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=53716, Retrieved Mon, 29 Apr 2024 09:48:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

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 Y ...] [2009-11-04 16:51:13] [ba02bcb7e07025bbb7f8a074d38ad767] [Current]
-    D    [Bivariate Explorative Data Analysis] [Ws 5] [2009-11-05 10:56:03] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
Dataseries Y:
Download CSV
Histogram 
18.0
19.6
23.3
23.7
20.3
22.8
24.3
21.5
23.5
22.2
20.9
22.2
19.5
21.1
22.0
19.2
17.8
19.2
19.9
19.6
18.1
20.4
18.1
18.6
17.6
19.4
19.3
18.6
16.9
16.4
19.0
18.7
17.1
21.5
17.8
18.1
19.0
18.9
16.8
18.1
15.7
15.1
18.3
16.5
16.9
18.4
16.4
15.7
16.9
16.6
16.7
16.6
14.4
14.5
17.5
14.3
15.4
17.2
14.6
14.2
14.9
14.1
15.6
14.6
11.9
13.5
14.2
13.7
14.4
15.3
14.3
14.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53716&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]5 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=53716&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53716&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132






Model: Y[t] = c + b X[t] + e[t]
c-1.74067755563123
b0.187718106317008

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & -1.74067755563123 \tabularnewline
b & 0.187718106317008 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53716&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]-1.74067755563123[/C][/ROW]
[ROW][C]b[/C][C]0.187718106317008[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53716&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53716&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]
c-1.74067755563123
b0.187718106317008






Descriptive Statistics about e[t]
# observations72
minimum-4.27077051797622
Q1-1.72033430534220
median-0.170176805271238
mean3.06883424922022e-16
Q31.54264552855521
maximum6.51973934919849

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 72 \tabularnewline
minimum & -4.27077051797622 \tabularnewline
Q1 & -1.72033430534220 \tabularnewline
median & -0.170176805271238 \tabularnewline
mean & 3.06883424922022e-16 \tabularnewline
Q3 & 1.54264552855521 \tabularnewline
maximum & 6.51973934919849 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=53716&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]-4.27077051797622[/C][/ROW]
[ROW][C]Q1[/C][C]-1.72033430534220[/C][/ROW]
[ROW][C]median[/C][C]-0.170176805271238[/C][/ROW]
[ROW][C]mean[/C][C]3.06883424922022e-16[/C][/ROW]
[ROW][C]Q3[/C][C]1.54264552855521[/C][/ROW]
[ROW][C]maximum[/C][C]6.51973934919849[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=53716&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=53716&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-4.27077051797622
Q1-1.72033430534220
median-0.170176805271238
mean3.06883424922022e-16
Q31.54264552855521
maximum6.51973934919849


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')