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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 14 Oct 2007 11:47:39 -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/2007/Oct/14/m6jsy0xr2jdn41x1192387853.htm/, Retrieved Sun, 28 Apr 2024 10:26:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=821, Retrieved Sun, 28 Apr 2024 10:26:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact259
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [3.37 problem] [2007-10-14 18:47:39] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
15.86
16.88
17.50
18.62
19.97
21.06
22.11
Dataseries Y:
3.05
3.12
3.17
3.25
3.36
3.46
3.55




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant1.766077
Beta0.0802840.00161749.658177 H0: beta = 0
Elasticity0.4615620.009295-57.929088 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
1.766077 & & & \tabularnewline Beta0.0802840.00161749.658177 H0: beta = 0 \tabularnewline Elasticity0.4615620.009295-57.929088 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=821&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]
1.766077[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.080284[/C]0.001617[/C]49.658177[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.461562[/C]0.009295[/C]-57.929088[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=821&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=821&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
Constant1.766077
Beta0.0802840.00161749.658177 H0: beta = 0
Elasticity0.4615620.009295-57.929088 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000000.2027890.202789
Residual5.0000000.0004110.000082
Total6.0000000.2032000.033867
F-TEST2465.934500

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000000.2027890.202789 \tabularnewline Residual5.0000000.0004110.000082 \tabularnewline Total6.0000000.2032000.033867 \tabularnewline F-TEST2465.934500 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=821&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]0.202789[/C]0.202789[/C][/ROW] [ROW][C]Residual[/C]5.000000[/C]0.000411[/C]0.000082[/C][/ROW] [ROW][C]Total[/C]6.000000[/C]0.203200[/C]0.033867[/C][/ROW] [ROW][C]F-TEST[/C]2465.934500[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=821&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=821&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
Regression1.0000000.2027890.202789
Residual5.0000000.0004110.000082
Total6.0000000.2032000.033867
F-TEST2465.934500







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.048001
Von Neumann Ratio1.222667
rho - Least Squares0.300889
rho - Maximum Likelihood0.335716
rho - Serial Correlation0.284196
rho - Goldberger0.317826

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.048001 \tabularnewline Von Neumann Ratio1.222667 \tabularnewline rho - Least Squares0.300889 \tabularnewline rho - Maximum Likelihood0.335716 \tabularnewline rho - Serial Correlation0.284196 \tabularnewline rho - Goldberger0.317826 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=821&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.048001[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.222667[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.300889[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.335716[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.284196[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.317826[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=821&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=821&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-Watson1.048001
Von Neumann Ratio1.222667
rho - Least Squares0.300889
rho - Maximum Likelihood0.335716
rho - Serial Correlation0.284196
rho - Goldberger0.317826







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X18.857143
Biased Variance X4.494592
Biased S.E. X2.120045
Mean Y3.280000
Biased Variance Y0.029029
Biased S.E. Y0.170378
Mean F3.280000
Biased Variance F0.028970
Biased S.E. F0.170205
Mean e0.000000
Biased Variance e0.000059
Biased S.E. e0.003428

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
18.857143 \tabularnewline Biased Variance X4.494592 \tabularnewline Biased S.E. X2.120045 \tabularnewline Mean Y3.280000 \tabularnewline Biased Variance Y0.029029 \tabularnewline Biased S.E. Y0.170378 \tabularnewline Mean F3.280000 \tabularnewline Biased Variance F0.028970 \tabularnewline Biased S.E. F0.170205 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.000059 \tabularnewline Biased S.E. e0.003428 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=821&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]
18.857143[/C][/ROW] [ROW][C]Biased Variance X[/C]4.494592[/C][/ROW] [ROW][C]Biased S.E. X[/C]2.120045[/C][/ROW] [ROW][C]Mean Y[/C]3.280000[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.029029[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.170378[/C][/ROW] [ROW][C]Mean F[/C]3.280000[/C][/ROW] [ROW][C]Biased Variance F[/C]0.028970[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.170205[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.000059[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.003428[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=821&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=821&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 X18.857143
Biased Variance X4.494592
Biased S.E. X2.120045
Mean Y3.280000
Biased Variance Y0.029029
Biased S.E. Y0.170378
Mean F3.280000
Biased Variance F0.028970
Biased S.E. F0.170205
Mean e0.000000
Biased Variance e0.000059
Biased S.E. e0.003428



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