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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSun, 14 Oct 2007 13:20:16 -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/sev6fbyk5oooex31192393093.htm/, Retrieved Sun, 28 Apr 2024 18:06:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=823, Retrieved Sun, 28 Apr 2024 18:06:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact296
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [beta test 2] [2007-10-14 20:20:16] [8326296a4a969e220946fc6855491489] [Current]
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Dataseries X:
80
60
10
20
30
Dataseries Y:
20
40
30
50
60




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant50.588235
Beta-0.2647060.273282-0.968620 H0: beta = 0
Elasticity-0.2647060.273282-4.627849 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
50.588235 & & & \tabularnewline Beta-0.2647060.273282-0.968620 H0: beta = 0 \tabularnewline Elasticity-0.2647060.273282-4.627849 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=823&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]
50.588235[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]-0.264706[/C]0.273282[/C]-0.968620[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]-0.264706[/C]0.273282[/C]-4.627849[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=823&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=823&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
Constant50.588235
Beta-0.2647060.273282-0.968620 H0: beta = 0
Elasticity-0.2647060.273282-4.627849 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000238.235294238.235294
Residual3.000000761.764706253.921569
Total4.0000001000.000000250.000000
F-TEST0.938224

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.000000238.235294238.235294 \tabularnewline Residual3.000000761.764706253.921569 \tabularnewline Total4.0000001000.000000250.000000 \tabularnewline F-TEST0.938224 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=823&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]238.235294[/C]238.235294[/C][/ROW] [ROW][C]Residual[/C]3.000000[/C]761.764706[/C]253.921569[/C][/ROW] [ROW][C]Total[/C]4.000000[/C]1000.000000[/C]250.000000[/C][/ROW] [ROW][C]F-TEST[/C]0.938224[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=823&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=823&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
Regression1.000000238.235294238.235294
Residual3.000000761.764706253.921569
Total4.0000001000.000000250.000000
F-TEST0.938224







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.875880
Von Neumann Ratio2.344850
rho - Least Squares-0.320376
rho - Maximum Likelihood-0.219224
rho - Serial Correlation-0.242164
rho - Goldberger-0.265017

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.875880 \tabularnewline Von Neumann Ratio2.344850 \tabularnewline rho - Least Squares-0.320376 \tabularnewline rho - Maximum Likelihood-0.219224 \tabularnewline rho - Serial Correlation-0.242164 \tabularnewline rho - Goldberger-0.265017 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=823&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.875880[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.344850[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.320376[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.219224[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.242164[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.265017[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=823&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=823&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-Watson1.875880
Von Neumann Ratio2.344850
rho - Least Squares-0.320376
rho - Maximum Likelihood-0.219224
rho - Serial Correlation-0.242164
rho - Goldberger-0.265017







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X40.000000
Biased Variance X680.000000
Biased S.E. X26.076810
Mean Y40.000000
Biased Variance Y200.000000
Biased S.E. Y14.142136
Mean F40.000000
Biased Variance F47.647059
Biased S.E. F6.902685
Mean e0.000000
Biased Variance e152.352941
Biased S.E. e7.126311

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
40.000000 \tabularnewline Biased Variance X680.000000 \tabularnewline Biased S.E. X26.076810 \tabularnewline Mean Y40.000000 \tabularnewline Biased Variance Y200.000000 \tabularnewline Biased S.E. Y14.142136 \tabularnewline Mean F40.000000 \tabularnewline Biased Variance F47.647059 \tabularnewline Biased S.E. F6.902685 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e152.352941 \tabularnewline Biased S.E. e7.126311 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=823&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]
40.000000[/C][/ROW] [ROW][C]Biased Variance X[/C]680.000000[/C][/ROW] [ROW][C]Biased S.E. X[/C]26.076810[/C][/ROW] [ROW][C]Mean Y[/C]40.000000[/C][/ROW] [ROW][C]Biased Variance Y[/C]200.000000[/C][/ROW] [ROW][C]Biased S.E. Y[/C]14.142136[/C][/ROW] [ROW][C]Mean F[/C]40.000000[/C][/ROW] [ROW][C]Biased Variance F[/C]47.647059[/C][/ROW] [ROW][C]Biased S.E. F[/C]6.902685[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]152.352941[/C][/ROW] [ROW][C]Biased S.E. e[/C]7.126311[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=823&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=823&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 X40.000000
Biased Variance X680.000000
Biased S.E. X26.076810
Mean Y40.000000
Biased Variance Y200.000000
Biased S.E. Y14.142136
Mean F40.000000
Biased Variance F47.647059
Biased S.E. F6.902685
Mean e0.000000
Biased Variance e152.352941
Biased S.E. e7.126311



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