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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSat, 23 Feb 2008 00:07:32 -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/Feb/23/t120375058167vvkr2uolulh5r.htm/, Retrieved Tue, 14 May 2024 16:07:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8531, Retrieved Tue, 14 May 2024 16:07:21 +0000
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Original text written by user:A good Stat tool.
IsPrivate?No (this computation is public)
User-defined keywordsSlope, intercept, regression
Estimated Impact221
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Time-Glucose simp...] [2008-02-23 07:07:32] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
3.00
3.25
3.50
3.75
4.00
4.25
4.50
4.75
5.25
5.50
Dataseries Y:
190
168
148
138
140
133
125
116
111
105




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant261.490509
Beta-29.7222783.668432-8.102175 H0: beta = 0
Elasticity-0.9031330.111468-17.073360 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
261.490509 & & & \tabularnewline Beta-29.7222783.668432-8.102175 H0: beta = 0 \tabularnewline Elasticity-0.9031330.111468-17.073360 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8531&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]
261.490509[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-29.722278[/C]3.668432[/C]-8.102175[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.903133[/C]0.111468[/C]-17.073360[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8531&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8531&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
Constant261.490509
Beta-29.7222783.668432-8.102175 H0: beta = 0
Elasticity-0.9031330.111468-17.073360 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000005526.8575425526.857542
Residual8.000000673.54245884.192807
Total9.0000006200.400000688.933333
F-TEST65.645246

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000005526.8575425526.857542 \tabularnewline Residual8.000000673.54245884.192807 \tabularnewline Total9.0000006200.400000688.933333 \tabularnewline F-TEST65.645246 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8531&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]5526.857542[/C]5526.857542[/C][/ROW] [ROW][C]Residual[/C]8.000000[/C]673.542458[/C]84.192807[/C][/ROW] [ROW][C]Total[/C]9.000000[/C]6200.400000[/C]688.933333[/C][/ROW] [ROW][C]F-TEST[/C]65.645246[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8531&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8531&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
Regression1.0000005526.8575425526.857542
Residual8.000000673.54245884.192807
Total9.0000006200.400000688.933333
F-TEST65.645246







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.843388
Von Neumann Ratio0.937098
rho - Least Squares0.334371
rho - Maximum Likelihood0.578562
rho - Serial Correlation0.344634
rho - Goldberger0.439835

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.843388 \tabularnewline Von Neumann Ratio0.937098 \tabularnewline rho - Least Squares0.334371 \tabularnewline rho - Maximum Likelihood0.578562 \tabularnewline rho - Serial Correlation0.344634 \tabularnewline rho - Goldberger0.439835 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8531&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.843388[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.937098[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.334371[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.578562[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.344634[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.439835[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8531&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8531&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-Watson0.843388
Von Neumann Ratio0.937098
rho - Least Squares0.334371
rho - Maximum Likelihood0.578562
rho - Serial Correlation0.344634
rho - Goldberger0.439835







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X4.175000
Biased Variance X0.625625
Biased S.E. X0.790965
Mean Y137.400000
Biased Variance Y620.040000
Biased S.E. Y24.900602
Mean F137.400000
Biased Variance F552.685754
Biased S.E. F23.509270
Mean e0.000000
Biased Variance e67.354246
Biased S.E. e2.901600

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
4.175000 \tabularnewline Biased Variance X0.625625 \tabularnewline Biased S.E. X0.790965 \tabularnewline Mean Y137.400000 \tabularnewline Biased Variance Y620.040000 \tabularnewline Biased S.E. Y24.900602 \tabularnewline Mean F137.400000 \tabularnewline Biased Variance F552.685754 \tabularnewline Biased S.E. F23.509270 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e67.354246 \tabularnewline Biased S.E. e2.901600 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=8531&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]
4.175000[/C][/ROW] [ROW][C]Biased Variance X[/C]0.625625[/C][/ROW] [ROW][C]Biased S.E. X[/C]0.790965[/C][/ROW] [ROW][C]Mean Y[/C]137.400000[/C][/ROW] [ROW][C]Biased Variance Y[/C]620.040000[/C][/ROW] [ROW][C]Biased S.E. Y[/C]24.900602[/C][/ROW] [ROW][C]Mean F[/C]137.400000[/C][/ROW] [ROW][C]Biased Variance F[/C]552.685754[/C][/ROW] [ROW][C]Biased S.E. F[/C]23.509270[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]67.354246[/C][/ROW] [ROW][C]Biased S.E. e[/C]2.901600[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=8531&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8531&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 X4.175000
Biased Variance X0.625625
Biased S.E. X0.790965
Mean Y137.400000
Biased Variance Y620.040000
Biased S.E. Y24.900602
Mean F137.400000
Biased Variance F552.685754
Biased S.E. F23.509270
Mean e0.000000
Biased Variance e67.354246
Biased S.E. e2.901600



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