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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSat, 19 Jan 2008 10:17:35 -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/19/t1200762836585cg63ziyled8w.htm/, Retrieved Mon, 29 Apr 2024 08:42:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8027, Retrieved Mon, 29 Apr 2024 08:42:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact260
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [djia] [2008-01-19 17:17:35] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
3.803
3.846
3.915
3.872
3.898
Dataseries Y:
1997.1
1997.4
1997.7
1997.8
1998.1




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant1969.202468
Beta7.3491082.6531172.769990 H0: beta = 0
Elasticity0.0142260.005136-191.947376 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
1969.202468 & & & \tabularnewline Beta7.3491082.6531172.769990 H0: beta = 0 \tabularnewline Elasticity0.0142260.005136-191.947376 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8027&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]
1969.202468[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]7.349108[/C]2.653117[/C]2.769990[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.014226[/C]0.005136[/C]-191.947376[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8027&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8027&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
Constant1969.202468
Beta7.3491082.6531172.769990 H0: beta = 0
Elasticity0.0142260.005136-191.947376 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000000.4227210.422721
Residual3.0000000.1652790.055093
Total4.0000000.5880000.147000
F-TEST7.672843

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000000.4227210.422721 \tabularnewline Residual3.0000000.1652790.055093 \tabularnewline Total4.0000000.5880000.147000 \tabularnewline F-TEST7.672843 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8027&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]0.422721[/C]0.422721[/C][/ROW] [ROW][C]Residual[/C]3.000000[/C]0.165279[/C]0.055093[/C][/ROW] [ROW][C]Total[/C]4.000000[/C]0.588000[/C]0.147000[/C][/ROW] [ROW][C]F-TEST[/C]7.672843[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8027&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8027&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
Regression1.0000000.4227210.422721
Residual3.0000000.1652790.055093
Total4.0000000.5880000.147000
F-TEST7.672843







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.379919
Von Neumann Ratio1.724898
rho - Least Squares0.180709
rho - Maximum Likelihood0.113787
rho - Serial Correlation0.139984
rho - Goldberger0.143396

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.379919 \tabularnewline Von Neumann Ratio1.724898 \tabularnewline rho - Least Squares0.180709 \tabularnewline rho - Maximum Likelihood0.113787 \tabularnewline rho - Serial Correlation0.139984 \tabularnewline rho - Goldberger0.143396 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8027&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.379919[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.724898[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.180709[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.113787[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.139984[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.143396[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8027&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8027&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-Watson1.379919
Von Neumann Ratio1.724898
rho - Least Squares0.180709
rho - Maximum Likelihood0.113787
rho - Serial Correlation0.139984
rho - Goldberger0.143396







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X3.866800
Biased Variance X0.001565
Biased S.E. X0.039565
Mean Y1997.620000
Biased Variance Y0.117600
Biased S.E. Y0.342929
Mean F1997.620000
Biased Variance F0.084544
Biased S.E. F0.290765
Mean e0.000000
Biased Variance e0.033056
Biased S.E. e0.104970

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
3.866800 \tabularnewline Biased Variance X0.001565 \tabularnewline Biased S.E. X0.039565 \tabularnewline Mean Y1997.620000 \tabularnewline Biased Variance Y0.117600 \tabularnewline Biased S.E. Y0.342929 \tabularnewline Mean F1997.620000 \tabularnewline Biased Variance F0.084544 \tabularnewline Biased S.E. F0.290765 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.033056 \tabularnewline Biased S.E. e0.104970 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8027&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]
3.866800[/C][/ROW] [ROW][C]Biased Variance X[/C]0.001565[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.039565[/C][/ROW] [ROW][C]Mean Y[/C]1997.620000[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.117600[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.342929[/C][/ROW] [ROW][C]Mean F[/C]1997.620000[/C][/ROW] [ROW][C]Biased Variance F[/C]0.084544[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.290765[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.033056[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.104970[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8027&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8027&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 X3.866800
Biased Variance X0.001565
Biased S.E. X0.039565
Mean Y1997.620000
Biased Variance Y0.117600
Biased S.E. Y0.342929
Mean F1997.620000
Biased Variance F0.084544
Biased S.E. F0.290765
Mean e0.000000
Biased Variance e0.033056
Biased S.E. e0.104970



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