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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 24 Jan 2008 10:54:57 -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/2008/Jan/24/t12011970824gv2906ms6tecu4.htm/, Retrieved Tue, 14 May 2024 10:07:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8063, Retrieved Tue, 14 May 2024 10:07:17 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact266
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [SEC1.3 prb8a] [2008-01-24 17:54:57] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
2.15
2.29
2.34
2.42
2.43
2.55
Dataseries Y:
6.45
7.38
7.72
7.98
8.04
8.35




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-3.656785
Beta4.7856640.5590208.560806 H0: beta = 0
Elasticity1.4778030.1726242.767878 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-3.656785 & & & \tabularnewline Beta4.7856640.5590208.560806 H0: beta = 0 \tabularnewline Elasticity1.4778030.1726242.767878 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8063&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]
-3.656785[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]4.785664[/C]0.559020[/C]8.560806[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.477803[/C]0.172624[/C]2.767878[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8063&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8063&T=0

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-3.656785
Beta4.7856640.5590208.560806 H0: beta = 0
Elasticity1.4778030.1726242.767878 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000002.1513152.151315
Residual4.0000000.1174180.029355
Total5.0000002.2687330.453747
F-TEST73.287394

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000002.1513152.151315 \tabularnewline Residual4.0000000.1174180.029355 \tabularnewline Total5.0000002.2687330.453747 \tabularnewline F-TEST73.287394 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8063&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]2.151315[/C]2.151315[/C][/ROW] [ROW][C]Residual[/C]4.000000[/C]0.117418[/C]0.029355[/C][/ROW] [ROW][C]Total[/C]5.000000[/C]2.268733[/C]0.453747[/C][/ROW] [ROW][C]F-TEST[/C]73.287394[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8063&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8063&T=1

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000002.1513152.151315
Residual4.0000000.1174180.029355
Total5.0000002.2687330.453747
F-TEST73.287394







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.386769
Von Neumann Ratio1.664122
rho - Least Squares0.000404
rho - Maximum Likelihood0.000378
rho - Serial Correlation0.000325
rho - Goldberger0.000391

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.386769 \tabularnewline Von Neumann Ratio1.664122 \tabularnewline rho - Least Squares0.000404 \tabularnewline rho - Maximum Likelihood0.000378 \tabularnewline rho - Serial Correlation0.000325 \tabularnewline rho - Goldberger0.000391 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8063&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.386769[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.664122[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.000404[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.000378[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.000325[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.000391[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8063&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8063&T=2

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.386769
Von Neumann Ratio1.664122
rho - Least Squares0.000404
rho - Maximum Likelihood0.000378
rho - Serial Correlation0.000325
rho - Goldberger0.000391







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X2.363333
Biased Variance X0.015656
Biased S.E. X0.125122
Mean Y7.653333
Biased Variance Y0.378122
Biased S.E. Y0.614916
Mean F7.653333
Biased Variance F0.358553
Biased S.E. F0.598793
Mean e0.000000
Biased Variance e0.019570
Biased S.E. e0.069946

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
2.363333 \tabularnewline Biased Variance X0.015656 \tabularnewline Biased S.E. X0.125122 \tabularnewline Mean Y7.653333 \tabularnewline Biased Variance Y0.378122 \tabularnewline Biased S.E. Y0.614916 \tabularnewline Mean F7.653333 \tabularnewline Biased Variance F0.358553 \tabularnewline Biased S.E. F0.598793 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.019570 \tabularnewline Biased S.E. e0.069946 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8063&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]
2.363333[/C][/ROW] [ROW][C]Biased Variance X[/C]0.015656[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.125122[/C][/ROW] [ROW][C]Mean Y[/C]7.653333[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.378122[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.614916[/C][/ROW] [ROW][C]Mean F[/C]7.653333[/C][/ROW] [ROW][C]Biased Variance F[/C]0.358553[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.598793[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.019570[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.069946[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8063&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8063&T=3

As an alternative you can also use a QR Code:  

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

Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X2.363333
Biased Variance X0.015656
Biased S.E. X0.125122
Mean Y7.653333
Biased Variance Y0.378122
Biased S.E. Y0.614916
Mean F7.653333
Biased Variance F0.358553
Biased S.E. F0.598793
Mean e0.000000
Biased Variance e0.019570
Biased S.E. e0.069946



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