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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 03 Apr 2008 07:17:43 -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/Apr/03/t12072299696kuanfn40f8emiy.htm/, Retrieved Tue, 14 May 2024 18:16:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10090, Retrieved Tue, 14 May 2024 18:16:24 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact329
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [PHYSICS THING LAB] [2008-04-03 13:17:43] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
19.8
18.8
17.7
17.0
16.2
14.9
14.0
13.0
12.0
11.0
10.0
9.0
8.0
7.1
6.0
5.1
4.0
3.0
2.0
1.0
Dataseries Y:
2.4
2.3
2.1
2.0
2.0
1.8
1.7
1.6
1.4
1.3
1.2
1.0
0.9
0.8
0.79
0.66
0.53
0.39
0.26
0.15




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant0.014460
Beta0.1192310.00173568.733988 H0: beta = 0
Elasticity0.9885600.014382-0.795411 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
0.014460 & & & \tabularnewline Beta0.1192310.00173568.733988 H0: beta = 0 \tabularnewline Elasticity0.9885600.014382-0.795411 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10090&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]
0.014460[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.119231[/C]0.001735[/C]68.733988[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.988560[/C]0.014382[/C]-0.795411[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10090&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
Constant0.014460
Beta0.1192310.00173568.733988 H0: beta = 0
Elasticity0.9885600.014382-0.795411 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000009.2835099.283509
Residual18.0000000.0353710.001965
Total19.0000009.3188800.490467
F-TEST4724.361169

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000009.2835099.283509 \tabularnewline Residual18.0000000.0353710.001965 \tabularnewline Total19.0000009.3188800.490467 \tabularnewline F-TEST4724.361169 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10090&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]9.283509[/C]9.283509[/C][/ROW] [ROW][C]Residual[/C]18.000000[/C]0.035371[/C]0.001965[/C][/ROW] [ROW][C]Total[/C]19.000000[/C]9.318880[/C]0.490467[/C][/ROW] [ROW][C]F-TEST[/C]4724.361169[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10090&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
Regression1.0000009.2835099.283509
Residual18.0000000.0353710.001965
Total19.0000009.3188800.490467
F-TEST4724.361169







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.327853
Von Neumann Ratio1.397740
rho - Least Squares0.326094
rho - Maximum Likelihood0.329354
rho - Serial Correlation0.340676
rho - Goldberger0.327720

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.327853 \tabularnewline Von Neumann Ratio1.397740 \tabularnewline rho - Least Squares0.326094 \tabularnewline rho - Maximum Likelihood0.329354 \tabularnewline rho - Serial Correlation0.340676 \tabularnewline rho - Goldberger0.327720 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10090&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.327853[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.397740[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.326094[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.329354[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.340676[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.327720[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10090&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10090&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-Watson1.327853
Von Neumann Ratio1.397740
rho - Least Squares0.326094
rho - Maximum Likelihood0.329354
rho - Serial Correlation0.340676
rho - Goldberger0.327720







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X10.480000
Biased Variance X32.651600
Biased S.E. X5.714158
Mean Y1.264000
Biased Variance Y0.465944
Biased S.E. Y0.682601
Mean F1.264000
Biased Variance F0.464175
Biased S.E. F0.681304
Mean e0.000000
Biased Variance e0.001769
Biased S.E. e0.009912

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
10.480000 \tabularnewline Biased Variance X32.651600 \tabularnewline Biased S.E. X5.714158 \tabularnewline Mean Y1.264000 \tabularnewline Biased Variance Y0.465944 \tabularnewline Biased S.E. Y0.682601 \tabularnewline Mean F1.264000 \tabularnewline Biased Variance F0.464175 \tabularnewline Biased S.E. F0.681304 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.001769 \tabularnewline Biased S.E. e0.009912 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10090&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]
10.480000[/C][/ROW] [ROW][C]Biased Variance X[/C]32.651600[/C][/ROW] [ROW][C]Biased S.E. X[/C]5.714158[/C][/ROW] [ROW][C]Mean Y[/C]1.264000[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.465944[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.682601[/C][/ROW] [ROW][C]Mean F[/C]1.264000[/C][/ROW] [ROW][C]Biased Variance F[/C]0.464175[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.681304[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.001769[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.009912[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10090&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10090&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 X10.480000
Biased Variance X32.651600
Biased S.E. X5.714158
Mean Y1.264000
Biased Variance Y0.465944
Biased S.E. Y0.682601
Mean F1.264000
Biased Variance F0.464175
Biased S.E. F0.681304
Mean e0.000000
Biased Variance e0.001769
Biased S.E. e0.009912



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