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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationSat, 15 Mar 2008 00:55:31 -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/Mar/15/t1205564675xn4dy3xt6ebmcpj.htm/, Retrieved Sat, 18 May 2024 06:25:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10073, Retrieved Sat, 18 May 2024 06:25:51 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact267
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [the enrolment and...] [2008-03-15 06:55:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
9,821 	
10,592 	
19,964 	
24,007 	
24,884 	
25,527 	
27,316 	
30,711 	
28,877 	
Dataseries Y:
1,592	
3,105	
3,455	
4,320	
5,655	
6,511	
8,446	
6,074	
7,172	




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant-0.448078
Beta0.2496920.0553424.511776 H0: beta = 0
Elasticity1.0870430.2409350.361272 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
-0.448078 & & & \tabularnewline Beta0.2496920.0553424.511776 H0: beta = 0 \tabularnewline Elasticity1.0870430.2409350.361272 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10073&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]
-0.448078[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.249692[/C]0.055342[/C]4.511776[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]1.087043[/C]0.240935[/C]0.361272[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10073&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10073&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
Constant-0.448078
Beta0.2496920.0553424.511776 H0: beta = 0
Elasticity1.0870430.2409350.361272 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000028.51190728.511907
Residual7.0000009.8045851.400655
Total8.00000038.3164924.789561
F-TEST20.356124

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000028.51190728.511907 \tabularnewline Residual7.0000009.8045851.400655 \tabularnewline Total8.00000038.3164924.789561 \tabularnewline F-TEST20.356124 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10073&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]28.511907[/C]28.511907[/C][/ROW] [ROW][C]Residual[/C]7.000000[/C]9.804585[/C]1.400655[/C][/ROW] [ROW][C]Total[/C]8.000000[/C]38.316492[/C]4.789561[/C][/ROW] [ROW][C]F-TEST[/C]20.356124[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10073&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10073&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
Regression1.00000028.51190728.511907
Residual7.0000009.8045851.400655
Total8.00000038.3164924.789561
F-TEST20.356124







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson2.290435
Von Neumann Ratio2.576739
rho - Least Squares-0.165270
rho - Maximum Likelihood-0.165304
rho - Serial Correlation-0.182745
rho - Goldberger-0.165287

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
2.290435 \tabularnewline Von Neumann Ratio2.576739 \tabularnewline rho - Least Squares-0.165270 \tabularnewline rho - Maximum Likelihood-0.165304 \tabularnewline rho - Serial Correlation-0.182745 \tabularnewline rho - Goldberger-0.165287 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10073&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
2.290435[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.576739[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.165270[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.165304[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.182745[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.165287[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10073&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10073&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-Watson2.290435
Von Neumann Ratio2.576739
rho - Least Squares-0.165270
rho - Maximum Likelihood-0.165304
rho - Serial Correlation-0.182745
rho - Goldberger-0.165287







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X22.411000
Biased Variance X50.812806
Biased S.E. X7.128310
Mean Y5.147778
Biased Variance Y4.257388
Biased S.E. Y2.063344
Mean F5.147778
Biased Variance F3.167990
Biased S.E. F1.779885
Mean e0.000000
Biased Variance e1.089398
Biased S.E. e0.394498

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
22.411000 \tabularnewline Biased Variance X50.812806 \tabularnewline Biased S.E. X7.128310 \tabularnewline Mean Y5.147778 \tabularnewline Biased Variance Y4.257388 \tabularnewline Biased S.E. Y2.063344 \tabularnewline Mean F5.147778 \tabularnewline Biased Variance F3.167990 \tabularnewline Biased S.E. F1.779885 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e1.089398 \tabularnewline Biased S.E. e0.394498 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10073&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]
22.411000[/C][/ROW] [ROW][C]Biased Variance X[/C]50.812806[/C][/ROW] [ROW][C]Biased S.E. X[/C]7.128310[/C][/ROW] [ROW][C]Mean Y[/C]5.147778[/C][/ROW] [ROW][C]Biased Variance Y[/C]4.257388[/C][/ROW] [ROW][C]Biased S.E. Y[/C]2.063344[/C][/ROW] [ROW][C]Mean F[/C]5.147778[/C][/ROW] [ROW][C]Biased Variance F[/C]3.167990[/C][/ROW] [ROW][C]Biased S.E. F[/C]1.779885[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]1.089398[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.394498[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10073&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10073&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 X22.411000
Biased Variance X50.812806
Biased S.E. X7.128310
Mean Y5.147778
Biased Variance Y4.257388
Biased S.E. Y2.063344
Mean F5.147778
Biased Variance F3.167990
Biased S.E. F1.779885
Mean e0.000000
Biased Variance e1.089398
Biased S.E. e0.394498



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