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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSat, 15 Mar 2008 13:20:07 -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/2008/Mar/15/t1205608943lhqbb61fxcvnqu2.htm/, Retrieved Sat, 18 May 2024 06:18:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10074, Retrieved Sat, 18 May 2024 06:18:22 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact256
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [MLK CONDO] [2008-03-15 19:20:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1215
1090
898
Dataseries Y:
231250
204000
176500




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant22163.896116
Beta170.23362820.3177278.378577 H0: beta = 0
Elasticity0.8913090.106380-1.021728 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
22163.896116 & & & \tabularnewline Beta170.23362820.3177278.378577 H0: beta = 0 \tabularnewline Elasticity0.8913090.106380-1.021728 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10074&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]
22163.896116[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]170.233628[/C]20.317727[/C]8.378577[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.891309[/C]0.106380[/C]-1.021728[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10074&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10074&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
Constant22163.896116
Beta170.23362820.3177278.378577 H0: beta = 0
Elasticity0.8913090.106380-1.021728 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001.477741e+91.477741e+9
Residual1.0000002.105028e+72.105028e+7
Total2.0000001.498792e+97.493958e+8
F-TEST70.200546

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001.477741e+91.477741e+9 \tabularnewline Residual1.0000002.105028e+72.105028e+7 \tabularnewline Total2.0000001.498792e+97.493958e+8 \tabularnewline F-TEST70.200546 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10074&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]1.477741e+9[/C]1.477741e+9[/C][/ROW] [ROW][C]Residual[/C]1.000000[/C]2.105028e+7[/C]2.105028e+7[/C][/ROW] [ROW][C]Total[/C]2.000000[/C]1.498792e+9[/C]7.493958e+8[/C][/ROW] [ROW][C]F-TEST[/C]70.200546[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10074&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10074&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
Regression1.0000001.477741e+91.477741e+9
Residual1.0000002.105028e+72.105028e+7
Total2.0000001.498792e+97.493958e+8
F-TEST70.200546







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.970656
Von Neumann Ratio4.455984
rho - Least Squares-0.731611
rho - Maximum Likelihood-0.865434
rho - Serial Correlation-0.985328
rho - Goldberger-0.795714

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
2.970656 \tabularnewline Von Neumann Ratio4.455984 \tabularnewline rho - Least Squares-0.731611 \tabularnewline rho - Maximum Likelihood-0.865434 \tabularnewline rho - Serial Correlation-0.985328 \tabularnewline rho - Goldberger-0.795714 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10074&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
2.970656[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]4.455984[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.731611[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.865434[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.985328[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.795714[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10074&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10074&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-Watson2.970656
Von Neumann Ratio4.455984
rho - Least Squares-0.731611
rho - Maximum Likelihood-0.865434
rho - Serial Correlation-0.985328
rho - Goldberger-0.795714







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X1067.666667
Biased Variance X16997.555556
Biased S.E. X130.374674
Mean Y203916.666667
Biased Variance Y4.995972e+8
Biased S.E. Y22351.671576
Mean F203916.666667
Biased Variance F4.925805e+8
Biased S.E. F22194.153759
Mean e0.000000
Biased Variance e7.016761e+6
Biased S.E. e2648.916972

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
1067.666667 \tabularnewline Biased Variance X16997.555556 \tabularnewline Biased S.E. X130.374674 \tabularnewline Mean Y203916.666667 \tabularnewline Biased Variance Y4.995972e+8 \tabularnewline Biased S.E. Y22351.671576 \tabularnewline Mean F203916.666667 \tabularnewline Biased Variance F4.925805e+8 \tabularnewline Biased S.E. F22194.153759 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e7.016761e+6 \tabularnewline Biased S.E. e2648.916972 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10074&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]
1067.666667[/C][/ROW] [ROW][C]Biased Variance X[/C]16997.555556[/C][/ROW] [ROW][C]Biased S.E. X[/C]130.374674[/C][/ROW] [ROW][C]Mean Y[/C]203916.666667[/C][/ROW] [ROW][C]Biased Variance Y[/C]4.995972e+8[/C][/ROW] [ROW][C]Biased S.E. Y[/C]22351.671576[/C][/ROW] [ROW][C]Mean F[/C]203916.666667[/C][/ROW] [ROW][C]Biased Variance F[/C]4.925805e+8[/C][/ROW] [ROW][C]Biased S.E. F[/C]22194.153759[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]7.016761e+6[/C][/ROW] [ROW][C]Biased S.E. e[/C]2648.916972[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10074&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10074&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 X1067.666667
Biased Variance X16997.555556
Biased S.E. X130.374674
Mean Y203916.666667
Biased Variance Y4.995972e+8
Biased S.E. Y22351.671576
Mean F203916.666667
Biased Variance F4.925805e+8
Biased S.E. F22194.153759
Mean e0.000000
Biased Variance e7.016761e+6
Biased S.E. e2648.916972



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