FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationMon, 15 Nov 2010 21:18:36 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/15/t12898563735mvlbhhq2iwv13z.htm/, Retrieved Sat, 27 Apr 2024 22:49:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=95092, Retrieved Sat, 27 Apr 2024 22:49:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Simple Regression] [Simple Linear Reg...] [2007-12-02 10:54:57] [74be16979710d4c4e7c6647856088456]
-  M D    [Simple Regression] [workshop 6 linear...] [2010-11-15 21:18:36] [e926a978b40506c05812140b9c5157ab] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5
3
0
7
4
1
6
3
12
0
5
6
6
6
2
1
5
7
3
3
3
7
8
6
3
5
5
10
2
6
4
6
8
4
5
10
6
7
4
10
4
3
3
3
3
7
15
0
0
4
5
5
2
3
0
9
2
7
7
0
0
10
2
1
8
6
11
3
8
6
9
9
8
8
7
6
5
4
6
3
2
12
8
5
9
6
5
2
4
7
5
6
7
8
6
0
1
5
5
5
7
7
1
3
4
8
6
6
2
2
3
3
0
2
8
8
0
5
9
6
6
3
9
7
8
0
7
0
5
0
14
5
2
8
4
2
6
3
5
9
3
3
0
10
4
2
3
10
7
0
6
8
0
4
10
5
Dataseries Y:
Download CSV
Histogram 
13
12
15
12
10
12
15
9
12
11
11
11
15
7
11
11
10
14
10
6
11
15
11
12
14
15
9
13
13
16
13
12
14
11
9
16
12
10
13
16
14
15
5
8
11
16
17
9
9
13
10
6
12
8
14
12
11
16
8
15
7
16
14
16
9
14
11
13
15
5
15
13
11
11
12
12
12
12
14
6
7
14
14
10
13
12
9
12
16
10
14
10
16
15
12
10
8
8
11
13
16
16
14
11
4
14
9
14
8
8
11
12
11
14
15
16
16
11
14
14
12
14
8
13
16
12
16
12
11
4
16
15
10
13
15
12
14
7
19
12
12
13
15
8
12
10
8
10
15
16
13
16
9
14
14
12

Tables (Output of Computation)





Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant10.670127
Beta0.2742460.0727363.770426 H0: beta = 0
Elasticity0.1141350.030271-29.264276 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

Parameter & Value & S.E. & T-STAT & Notes \tabularnewline

Constant
10.670127 & & & \tabularnewline Beta0.2742460.0727363.770426 H0: beta = 0 \tabularnewline Elasticity0.1141350.030271-29.264276 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=95092&T=0

[TABLE]

[ROW][C]Simple Linear Regression - Ungrouped Data[/C][/ROW]

[ROW][C]Parameter[/C][C]Value[/C][C]S.E.[/C][C]T-STAT[/C][C]Notes[/C][/ROW]

[ROW][C]Constant[/C]
10.670127[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.274246[/C]0.072736[/C]3.770426[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.114135[/C]0.030271[/C]-29.264276[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=95092&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95092&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:

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant10.670127
Beta0.2742460.0727363.770426 H0: beta = 0
Elasticity0.1141350.030271-29.264276 H0: elast. = 1






Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000112.964684112.964684
Residual154.0000001223.7212137.946242
Total155.0000001336.6858978.623780
F-TEST14.216115

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

ANOVA & DF & Sum of Squares & Mean Square \tabularnewline

Regression
1.000000112.964684112.964684 \tabularnewline Residual154.0000001223.7212137.946242 \tabularnewline Total155.0000001336.6858978.623780 \tabularnewline F-TEST14.216115 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=95092&T=1

[TABLE]

[ROW][C]Simple Linear Regression - Analysis of Variance[/C][/ROW]

[ROW][C]ANOVA[/C][C]DF[/C][C]Sum of Squares[/C][C]Mean Square[/C][/ROW]

[ROW][C]Regression[/C]
1.000000[/C]112.964684[/C]112.964684[/C][/ROW] [ROW][C]Residual[/C]154.000000[/C]1223.721213[/C]7.946242[/C][/ROW] [ROW][C]Total[/C]155.000000[/C]1336.685897[/C]8.623780[/C][/ROW] [ROW][C]F-TEST[/C]14.216115[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=95092&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95092&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:

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000112.964684112.964684
Residual154.0000001223.7212137.946242
Total155.0000001336.6858978.623780
F-TEST14.216115






Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.163846
Von Neumann Ratio2.177806
rho - Least Squares-0.082299
rho - Maximum Likelihood-0.082361
rho - Serial Correlation-0.082830
rho - Goldberger-0.082330

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
2.163846 \tabularnewline Von Neumann Ratio2.177806 \tabularnewline rho - Least Squares-0.082299 \tabularnewline rho - Maximum Likelihood-0.082361 \tabularnewline rho - Serial Correlation-0.082830 \tabularnewline rho - Goldberger-0.082330 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=95092&T=2

[TABLE]

[ROW][C]Simple Linear Regression - Autocorrelation[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Durbin-Watson[/C]
2.163846[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.177806[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.082299[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.082361[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.082830[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.082330[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=95092&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95092&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:

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.163846
Von Neumann Ratio2.177806
rho - Least Squares-0.082299
rho - Maximum Likelihood-0.082361
rho - Serial Correlation-0.082830
rho - Goldberger-0.082330






Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X5.012821
Biased Variance X9.628041
Biased S.E. X3.102908
Mean Y12.044872
Biased Variance Y8.568499
Biased S.E. Y2.927200
Mean F12.044872
Biased Variance F0.724133
Biased S.E. F0.850960
Mean e0.000000
Biased Variance e7.844367
Biased S.E. e0.225693

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
5.012821 \tabularnewline Biased Variance X9.628041 \tabularnewline Biased S.E. X3.102908 \tabularnewline Mean Y12.044872 \tabularnewline Biased Variance Y8.568499 \tabularnewline Biased S.E. Y2.927200 \tabularnewline Mean F12.044872 \tabularnewline Biased Variance F0.724133 \tabularnewline Biased S.E. F0.850960 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e7.844367 \tabularnewline Biased S.E. e0.225693 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=95092&T=3

[TABLE]

[ROW][C]Simple Linear Regression - Descriptive Statistics[/C][/ROW]

[ROW][C]Statistic[/C][C]Value[/C][/ROW]

[ROW][C]Mean X[/C]
5.012821[/C][/ROW] [ROW][C]Biased Variance X[/C]9.628041[/C][/ROW] [ROW][C]Biased S.E. X[/C]3.102908[/C][/ROW] [ROW][C]Mean Y[/C]12.044872[/C][/ROW] [ROW][C]Biased Variance Y[/C]8.568499[/C][/ROW] [ROW][C]Biased S.E. Y[/C]2.927200[/C][/ROW] [ROW][C]Mean F[/C]12.044872[/C][/ROW] [ROW][C]Biased Variance F[/C]0.724133[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.850960[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]7.844367[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.225693[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=95092&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95092&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X5.012821
Biased Variance X9.628041
Biased S.E. X3.102908
Mean Y12.044872
Biased Variance Y8.568499
Biased S.E. Y2.927200
Mean F12.044872
Biased Variance F0.724133
Biased S.E. F0.850960
Mean e0.000000
Biased Variance e7.844367
Biased S.E. e0.225693


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):