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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationWed, 25 Sep 2013 01:52:40 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Sep/25/t138008855243t9o1to8o68k57.htm/, Retrieved Fri, 03 May 2024 13:22:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211906, Retrieved Fri, 03 May 2024 13:22:59 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Linjär regression] [2013-09-25 05:52:40] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1
2
3
4
Dataseries Y:
2.02
4.24
5.98
8.16




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant0.060000
Beta2.0160000.06536130.844299 H0: beta = 0
Elasticity0.9882350.032039-0.367194 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
0.060000 & & & \tabularnewline Beta2.0160000.06536130.844299 H0: beta = 0 \tabularnewline Elasticity0.9882350.032039-0.367194 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=211906&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]
0.060000[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]2.016000[/C]0.065361[/C]30.844299[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.988235[/C]0.032039[/C]-0.367194[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=211906&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211906&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
Constant0.060000
Beta2.0160000.06536130.844299 H0: beta = 0
Elasticity0.9882350.032039-0.367194 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000020.32128020.321280
Residual2.0000000.0427200.021360
Total3.00000020.3640006.788000
F-TEST951.370787

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000020.32128020.321280 \tabularnewline Residual2.0000000.0427200.021360 \tabularnewline Total3.00000020.3640006.788000 \tabularnewline F-TEST951.370787 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=211906&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]20.321280[/C]20.321280[/C][/ROW] [ROW][C]Residual[/C]2.000000[/C]0.042720[/C]0.021360[/C][/ROW] [ROW][C]Total[/C]3.000000[/C]20.364000[/C]6.788000[/C][/ROW] [ROW][C]F-TEST[/C]951.370787[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=211906&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211906&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
Regression1.00000020.32128020.321280
Residual2.0000000.0427200.021360
Total3.00000020.3640006.788000
F-TEST951.370787







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson3.386891
Von Neumann Ratio4.515855
rho - Least Squares-0.768637
rho - Maximum Likelihood-0.804365
rho - Serial Correlation-0.993758
rho - Goldberger-0.786298

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
3.386891 \tabularnewline Von Neumann Ratio4.515855 \tabularnewline rho - Least Squares-0.768637 \tabularnewline rho - Maximum Likelihood-0.804365 \tabularnewline rho - Serial Correlation-0.993758 \tabularnewline rho - Goldberger-0.786298 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=211906&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
3.386891[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]4.515855[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.768637[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.804365[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.993758[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.786298[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=211906&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211906&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-Watson3.386891
Von Neumann Ratio4.515855
rho - Least Squares-0.768637
rho - Maximum Likelihood-0.804365
rho - Serial Correlation-0.993758
rho - Goldberger-0.786298







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X2.500000
Biased Variance X1.250000
Biased S.E. X1.118034
Mean Y5.100000
Biased Variance Y5.091000
Biased S.E. Y2.256324
Mean F5.100000
Biased Variance F5.080320
Biased S.E. F2.253957
Mean e0.000000
Biased Variance e0.010680
Biased S.E. e0.073075

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
2.500000 \tabularnewline Biased Variance X1.250000 \tabularnewline Biased S.E. X1.118034 \tabularnewline Mean Y5.100000 \tabularnewline Biased Variance Y5.091000 \tabularnewline Biased S.E. Y2.256324 \tabularnewline Mean F5.100000 \tabularnewline Biased Variance F5.080320 \tabularnewline Biased S.E. F2.253957 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.010680 \tabularnewline Biased S.E. e0.073075 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=211906&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]
2.500000[/C][/ROW] [ROW][C]Biased Variance X[/C]1.250000[/C][/ROW] [ROW][C]Biased S.E. X[/C]1.118034[/C][/ROW] [ROW][C]Mean Y[/C]5.100000[/C][/ROW] [ROW][C]Biased Variance Y[/C]5.091000[/C][/ROW] [ROW][C]Biased S.E. Y[/C]2.256324[/C][/ROW] [ROW][C]Mean F[/C]5.100000[/C][/ROW] [ROW][C]Biased Variance F[/C]5.080320[/C][/ROW] [ROW][C]Biased S.E. F[/C]2.253957[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.010680[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.073075[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=211906&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211906&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 X2.500000
Biased Variance X1.250000
Biased S.E. X1.118034
Mean Y5.100000
Biased Variance Y5.091000
Biased S.E. Y2.256324
Mean F5.100000
Biased Variance F5.080320
Biased S.E. F2.253957
Mean e0.000000
Biased Variance e0.010680
Biased S.E. e0.073075



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