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*Unverified author*

R Software Module

slr.wasp

Title produced by software

Simple Regression

Date of computation

Mon, 19 Nov 2007 13:58:25 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/19/t11955055648bohpefmx2idhkx.htm/, Retrieved Fri, 03 May 2024 08:55:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5778, Retrieved Fri, 03 May 2024 08:55:49 +0000

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Estimated Impact

157

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Simple Regression] [Seatbelt 1] [2007-11-19 20:58:25] [640491d00f3c9cca22cbf779aa38ac16] [Current]

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Simple Linear Regression - Ungrouped Data
Parameter	Value	S.E.	T-STAT	Notes
Constant	1717.751479
Beta	-396.055827	57.786173	-6.853816	H0: beta = 0
Elasticity	-0.028404	0.004144	-248.147434	H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant

1717.751479 & & & \tabularnewline Beta

-396.055827

57.786173

-6.853816

H0: beta = 0 \tabularnewline Elasticity

-0.028404

0.004144

-248.147434

H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5778&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]

1717.751479[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]

-396.055827[/C]

57.786173[/C]

-6.853816[/C]

H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]

-0.028404[/C]

0.004144[/C]

-248.147434[/C]

H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5778&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5778&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
Parameter	Value	S.E.	T-STAT	Notes
Constant	1717.751479
Beta	-396.055827	57.786173	-6.853816	H0: beta = 0
Elasticity	-0.028404	0.004144	-248.147434	H0: elast. = 1

Simple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	1.000000	3.17560e+6	3.17560e+6
Residual	190.000000	1.28444e+7	67602.254904
Total	191.000000	1.60200e+7	83874.507172
F-TEST	46.974801

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression

1.000000

3.17560e+6

3.17560e+6 \tabularnewline Residual

190.000000

1.28444e+7

67602.254904 \tabularnewline Total

191.000000

1.60200e+7

83874.507172 \tabularnewline F-TEST

46.974801 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5778&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]

3.17560e+6[/C]

3.17560e+6[/C][/ROW] [ROW][C]Residual[/C]

190.000000[/C]

1.28444e+7[/C]

67602.254904[/C][/ROW] [ROW][C]Total[/C]

191.000000[/C]

1.60200e+7[/C]

83874.507172[/C][/ROW] [ROW][C]F-TEST[/C]

46.974801[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5778&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5778&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
ANOVA	DF	Sum of Squares	Mean Square
Regression	1.000000	3.17560e+6	3.17560e+6
Residual	190.000000	1.28444e+7	67602.254904
Total	191.000000	1.60200e+7	83874.507172
F-TEST	46.974801

Simple Linear Regression - Autocorrelation
Statistic	Value
Durbin-Watson	0.709925
Von Neumann Ratio	0.713642
rho - Least Squares	0.647233
rho - Maximum Likelihood	0.637467
rho - Serial Correlation	0.640757
rho - Goldberger	0.642331

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson

0.709925 \tabularnewline Von Neumann Ratio

0.713642 \tabularnewline rho - Least Squares

0.647233 \tabularnewline rho - Maximum Likelihood

0.637467 \tabularnewline rho - Serial Correlation

0.640757 \tabularnewline rho - Goldberger

0.642331 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5778&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]

0.709925[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]

0.713642[/C][/ROW] [ROW][C]rho - Least Squares[/C]

0.647233[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]

0.637467[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]

0.640757[/C][/ROW] [ROW][C]rho - Goldberger[/C]

0.642331[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5778&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5778&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
Statistic	Value
Durbin-Watson	0.709925
Von Neumann Ratio	0.713642
rho - Least Squares	0.647233
rho - Maximum Likelihood	0.637467
rho - Serial Correlation	0.640757
rho - Goldberger	0.642331

Simple Linear Regression - Descriptive Statistics
Statistic	Value
Mean X	0.119792
Biased Variance X	0.105442
Biased S.E. X	0.324718
Mean Y	1670.307292
Biased Variance Y	83437.660780
Biased S.E. Y	288.855779
Mean F	1670.307292
Biased Variance F	16539.596032
Biased S.E. F	128.606361
Mean e	0.000000
Biased Variance e	66898.064748
Biased S.E. e	18.764197

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X

0.119792 \tabularnewline Biased Variance X

0.105442 \tabularnewline Biased S.E. X

0.324718 \tabularnewline Mean Y

1670.307292 \tabularnewline Biased Variance Y

83437.660780 \tabularnewline Biased S.E. Y

288.855779 \tabularnewline Mean F

1670.307292 \tabularnewline Biased Variance F

16539.596032 \tabularnewline Biased S.E. F

128.606361 \tabularnewline Mean e

0.000000 \tabularnewline Biased Variance e

66898.064748 \tabularnewline Biased S.E. e

18.764197 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5778&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]

0.119792[/C][/ROW] [ROW][C]Biased Variance X[/C]

0.105442[/C][/ROW] [ROW][C]Biased S.E. X[/C]

0.324718[/C][/ROW] [ROW][C]Mean Y[/C]

1670.307292[/C][/ROW] [ROW][C]Biased Variance Y[/C]

83437.660780[/C][/ROW] [ROW][C]Biased S.E. Y[/C]

288.855779[/C][/ROW] [ROW][C]Mean F[/C]

1670.307292[/C][/ROW] [ROW][C]Biased Variance F[/C]

16539.596032[/C][/ROW] [ROW][C]Biased S.E. F[/C]

128.606361[/C][/ROW] [ROW][C]Mean e[/C]

0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]

66898.064748[/C][/ROW] [ROW][C]Biased S.E. e[/C]

18.764197[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5778&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5778&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
Statistic	Value
Mean X	0.119792
Biased Variance X	0.105442
Biased S.E. X	0.324718
Mean Y	1670.307292
Biased Variance Y	83437.660780
Biased S.E. Y	288.855779
Mean F	1670.307292
Biased Variance F	16539.596032
Biased S.E. F	128.606361
Mean e	0.000000
Biased Variance e	66898.064748
Biased S.E. e	18.764197

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Parameters (R input):

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

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