Free Statistics

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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 18 Feb 2010 11:18:26 -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/2010/Feb/18/t1266520334mfuexyunjzrqfe4.htm/, Retrieved Fri, 26 Apr 2024 14:28:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=73176, Retrieved Fri, 26 Apr 2024 14:28:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsCorporate tax vs unemployment by state
Estimated Impact222
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Corporate tax vs....] [2010-02-18 18:18:26] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
6.5
9.4
7
6.5
8.8
4.63
7.5
8.7
5.5
6
6.4
7.6
7.3
8.5
12
7
6
8
8.93
8.25
9.5
4.95
9.8
5
6.25
6.75
7.81
0
8.5
9
7.6
7.1
6.9
6.5
0.26
6
7.9
10
9
5
0
6.5
0
5
8.5
6
0
8.5
7.9
0
Dataseries Y:
6.1
7.3
6.3
5.7
8.4
5.8
6.6
5.6
7.3
7.5
4.9
5.7
7.3
7.1
4.3
4.9
7
5.3
6.3
5.3
5.9
9.6
6.4
7.2
6.7
4.9
3.7
8
4.3
6.1
4.3
6.1
7.9
3.3
7.3
4.7
8.1
6.1
9.3
8.4
3.4
6.9
5.7
3.7
5.7
4.8
6.4
4.6
5.6
3.2




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant5.953652
Beta0.0162750.0772580.210651 H0: beta = 0
Elasticity0.0175490.083309-11.792851 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
5.953652 & & & \tabularnewline Beta0.0162750.0772580.210651 H0: beta = 0 \tabularnewline Elasticity0.0175490.083309-11.792851 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=73176&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]
5.953652[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.016275[/C]0.077258[/C]0.210651[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.017549[/C]0.083309[/C]-11.792851[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=73176&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73176&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
Constant5.953652
Beta0.0162750.0772580.210651 H0: beta = 0
Elasticity0.0175490.083309-11.792851 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000000.1049580.104958
Residual48.000000113.5350422.365313
Total49.000000113.6400002.319184
F-TEST0.044374

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000000.1049580.104958 \tabularnewline Residual48.000000113.5350422.365313 \tabularnewline Total49.000000113.6400002.319184 \tabularnewline F-TEST0.044374 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=73176&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]0.104958[/C]0.104958[/C][/ROW] [ROW][C]Residual[/C]48.000000[/C]113.535042[/C]2.365313[/C][/ROW] [ROW][C]Total[/C]49.000000[/C]113.640000[/C]2.319184[/C][/ROW] [ROW][C]F-TEST[/C]0.044374[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=73176&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73176&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
Regression1.0000000.1049580.104958
Residual48.000000113.5350422.365313
Total49.000000113.6400002.319184
F-TEST0.044374







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.268263
Von Neumann Ratio2.314554
rho - Least Squares-0.179522
rho - Maximum Likelihood-0.167535
rho - Serial Correlation-0.170951
rho - Goldberger-0.173425

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
2.268263 \tabularnewline Von Neumann Ratio2.314554 \tabularnewline rho - Least Squares-0.179522 \tabularnewline rho - Maximum Likelihood-0.167535 \tabularnewline rho - Serial Correlation-0.170951 \tabularnewline rho - Goldberger-0.173425 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=73176&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
2.268263[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.314554[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.179522[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.167535[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.170951[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.173425[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=73176&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73176&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-Watson2.268263
Von Neumann Ratio2.314554
rho - Least Squares-0.179522
rho - Maximum Likelihood-0.167535
rho - Serial Correlation-0.170951
rho - Goldberger-0.173425







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X6.534600
Biased Variance X7.925513
Biased S.E. X2.815229
Mean Y6.060000
Biased Variance Y2.272800
Biased S.E. Y1.507581
Mean F6.060000
Biased Variance F0.002099
Biased S.E. F0.045817
Mean e0.000000
Biased Variance e2.270701
Biased S.E. e0.217500

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
6.534600 \tabularnewline Biased Variance X7.925513 \tabularnewline Biased S.E. X2.815229 \tabularnewline Mean Y6.060000 \tabularnewline Biased Variance Y2.272800 \tabularnewline Biased S.E. Y1.507581 \tabularnewline Mean F6.060000 \tabularnewline Biased Variance F0.002099 \tabularnewline Biased S.E. F0.045817 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e2.270701 \tabularnewline Biased S.E. e0.217500 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=73176&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]
6.534600[/C][/ROW] [ROW][C]Biased Variance X[/C]7.925513[/C][/ROW] [ROW][C]Biased S.E. X[/C]2.815229[/C][/ROW] [ROW][C]Mean Y[/C]6.060000[/C][/ROW] [ROW][C]Biased Variance Y[/C]2.272800[/C][/ROW] [ROW][C]Biased S.E. Y[/C]1.507581[/C][/ROW] [ROW][C]Mean F[/C]6.060000[/C][/ROW] [ROW][C]Biased Variance F[/C]0.002099[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.045817[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]2.270701[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.217500[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=73176&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73176&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 X6.534600
Biased Variance X7.925513
Biased S.E. X2.815229
Mean Y6.060000
Biased Variance Y2.272800
Biased S.E. Y1.507581
Mean F6.060000
Biased Variance F0.002099
Biased S.E. F0.045817
Mean e0.000000
Biased Variance e2.270701
Biased S.E. e0.217500



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