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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, 23 Oct 2009 05:56:36 -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/23/t1256299044x7nktbs8gh5r9a9.htm/, Retrieved Thu, 02 May 2024 08:14:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=49909, Retrieved Thu, 02 May 2024 08:14:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161

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]
-   PD  [Bivariate Data Series] [WS 4 1 PLOTS] [2009-10-23 11:13:05] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMPD      [Bivariate Explorative Data Analysis] [ws 4 part 2] [2009-10-23 11:56:36] [2e4ef2c1b76db9b31c0a03b96e94ad77] [Current]
-    D        [Bivariate Explorative Data Analysis] [ws 4 2.2] [2009-10-23 12:01:20] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMP           [Bivariate Data Series] [ws 4 part 2.2] [2009-10-23 12:29:08] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMPD        [Pearson Correlation] [ws 4 2.2 r] [2009-10-23 12:03:37] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMP         [Pearson Correlation] [ws 4 2.1 r] [2009-10-23 12:05:33] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMP           [Bivariate Kernel Density Estimation] [ws 4 p2.1] [2009-10-23 16:26:45] [6e4e01d7eb22a9f33d58ebb35753a195]
- RMPD            [Linear Regression Graphical Model Validation] [ws 2.2] [2009-10-23 16:47:44] [6e4e01d7eb22a9f33d58ebb35753a195]
-    D              [Linear Regression Graphical Model Validation] [ws 2.2] [2009-10-23 16:51:23] [6e4e01d7eb22a9f33d58ebb35753a195]
-  M D          [Pearson Correlation] [WS 4 Part 2 r] [2009-11-02 00:36:23] [9717cb857c153ca3061376906953b329]
-  M D          [Pearson Correlation] [WS 4 Part 2 r] [2009-11-02 01:10:27] [9717cb857c153ca3061376906953b329]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100,30
98,50
95,10
93,10
92,20
89,00
86,40
84,50
82,70
80,80
81,80
81,80
82,90
83,80
86,20
86,10
86,20
88,80
89,60
87,80
88,30
88,60
91,00
91,50
95,40
98,70
99,90
98,60
100,30
100,20
100,40
101,40
103,00
109,10
111,40
114,10
121,80
127,60
129,90
128,00
123,50
124,00
127,40
127,60
128,40
131,40
135,10
134,00
144,50
147,30
150,90
148,70
141,40
138,90
139,80
145,60
147,90
148,50
151,10
157,50
Dataseries Y:
Download CSV
Histogram 
103,63
103,64
103,66
103,77
103,88
103,91
103,91
103,92
104,05
104,23
104,30
104,31
104,31
104,34
104,55
104,65
104,73
104,75
104,75
104,76
104,94
105,29
105,38
105,43
105,43
105,42
105,52
105,69
105,72
105,74
105,74
105,74
105,95
106,17
106,34
106,37
106,37
106,36
106,44
106,29
106,23
106,23
106,23
106,23
106,34
106,44
106,44
106,48
106,50
106,57
106,40
106,37
106,25
106,21
106,21
106,24
106,19
106,08
106,13
106,09

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49909&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]3 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=49909&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49909&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 time3 seconds
R Server'George Udny Yule' @ 72.249.76.132






Model: Y[t] = c + b X[t] + e[t]
c101.845973199319
b0.0324017875946746

\begin{tabular}{lllllllll}
\hline
Model: Y[t] = c + b X[t] + e[t] \tabularnewline
c & 101.845973199319 \tabularnewline
b & 0.0324017875946746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49909&T=1

[TABLE]
[ROW][C]Model: Y[t] = c + b X[t] + e[t][/C][/ROW]
[ROW][C]c[/C][C]101.845973199319[/C][/ROW]
[ROW][C]b[/C][C]0.0324017875946746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49909&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49909&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]
c101.845973199319
b0.0324017875946746






Descriptive Statistics about e[t]
# observations60
minimum-1.46587249506480
Q1-0.301507629261165
median0.0479489560713118
mean6.62302967098978e-17
Q30.398047999092900
maximum0.884467662634328

\begin{tabular}{lllllllll}
\hline
Descriptive Statistics about e[t] \tabularnewline
# observations & 60 \tabularnewline
minimum & -1.46587249506480 \tabularnewline
Q1 & -0.301507629261165 \tabularnewline
median & 0.0479489560713118 \tabularnewline
mean & 6.62302967098978e-17 \tabularnewline
Q3 & 0.398047999092900 \tabularnewline
maximum & 0.884467662634328 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=49909&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]-1.46587249506480[/C][/ROW]
[ROW][C]Q1[/C][C]-0.301507629261165[/C][/ROW]
[ROW][C]median[/C][C]0.0479489560713118[/C][/ROW]
[ROW][C]mean[/C][C]6.62302967098978e-17[/C][/ROW]
[ROW][C]Q3[/C][C]0.398047999092900[/C][/ROW]
[ROW][C]maximum[/C][C]0.884467662634328[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=49909&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=49909&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-1.46587249506480
Q1-0.301507629261165
median0.0479489560713118
mean6.62302967098978e-17
Q30.398047999092900
maximum0.884467662634328


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')