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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 20 Mar 2008 16:15:41 -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/20/t1206051386wuxorpmhzswjrf3.htm/, Retrieved Sat, 18 May 2024 09:40:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10080, Retrieved Sat, 18 May 2024 09:40:21 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact275
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Myers RA] [2008-03-20 22:15:41] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
84
73
62
70
56
49
68
53
38
Dataseries Y:
867
811
726
726
716
748
791
749
696








Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant567.257991
Beta3.1187670.8755693.561989 H0: beta = 0
Elasticity0.2525150.070892-10.544055 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
567.257991 & & & \tabularnewline Beta3.1187670.8755693.561989 H0: beta = 0 \tabularnewline Elasticity0.2525150.070892-10.544055 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10080&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]
567.257991[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]3.118767[/C]0.875569[/C]3.561989[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.252515[/C]0.070892[/C]-10.544055[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10080&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10080&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
Constant567.257991
Beta3.1187670.8755693.561989 H0: beta = 0
Elasticity0.2525150.070892-10.544055 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.00000015214.73091215214.730912
Residual7.0000008394.1579771199.165425
Total8.00000023608.8888892951.111111
F-TEST12.687767

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.00000015214.73091215214.730912 \tabularnewline Residual7.0000008394.1579771199.165425 \tabularnewline Total8.00000023608.8888892951.111111 \tabularnewline F-TEST12.687767 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10080&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]15214.730912[/C]15214.730912[/C][/ROW] [ROW][C]Residual[/C]7.000000[/C]8394.157977[/C]1199.165425[/C][/ROW] [ROW][C]Total[/C]8.000000[/C]23608.888889[/C]2951.111111[/C][/ROW] [ROW][C]F-TEST[/C]12.687767[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10080&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10080&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
Regression1.00000015214.73091215214.730912
Residual7.0000008394.1579771199.165425
Total8.00000023608.8888892951.111111
F-TEST12.687767







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.955398
Von Neumann Ratio1.074823
rho - Least Squares0.436556
rho - Maximum Likelihood0.519358
rho - Serial Correlation0.485004
rho - Goldberger0.476160

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.955398 \tabularnewline Von Neumann Ratio1.074823 \tabularnewline rho - Least Squares0.436556 \tabularnewline rho - Maximum Likelihood0.519358 \tabularnewline rho - Serial Correlation0.485004 \tabularnewline rho - Goldberger0.476160 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10080&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.955398[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.074823[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.436556[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.519358[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.485004[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.476160[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10080&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10080&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-Watson0.955398
Von Neumann Ratio1.074823
rho - Least Squares0.436556
rho - Maximum Likelihood0.519358
rho - Serial Correlation0.485004
rho - Goldberger0.476160







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X61.444444
Biased Variance X173.802469
Biased S.E. X13.183416
Mean Y758.888889
Biased Variance Y2623.209877
Biased S.E. Y51.217281
Mean F758.888889
Biased Variance F1690.525657
Biased S.E. F41.116002
Mean e0.000000
Biased Variance e932.684220
Biased S.E. e11.542989

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
61.444444 \tabularnewline Biased Variance X173.802469 \tabularnewline Biased S.E. X13.183416 \tabularnewline Mean Y758.888889 \tabularnewline Biased Variance Y2623.209877 \tabularnewline Biased S.E. Y51.217281 \tabularnewline Mean F758.888889 \tabularnewline Biased Variance F1690.525657 \tabularnewline Biased S.E. F41.116002 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e932.684220 \tabularnewline Biased S.E. e11.542989 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10080&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]
61.444444[/C][/ROW] [ROW][C]Biased Variance X[/C]173.802469[/C][/ROW] [ROW][C]Biased S.E. X[/C]13.183416[/C][/ROW] [ROW][C]Mean Y[/C]758.888889[/C][/ROW] [ROW][C]Biased Variance Y[/C]2623.209877[/C][/ROW] [ROW][C]Biased S.E. Y[/C]51.217281[/C][/ROW] [ROW][C]Mean F[/C]758.888889[/C][/ROW] [ROW][C]Biased Variance F[/C]1690.525657[/C][/ROW] [ROW][C]Biased S.E. F[/C]41.116002[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]932.684220[/C][/ROW] [ROW][C]Biased S.E. e[/C]11.542989[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10080&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10080&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 X61.444444
Biased Variance X173.802469
Biased S.E. X13.183416
Mean Y758.888889
Biased Variance Y2623.209877
Biased S.E. Y51.217281
Mean F758.888889
Biased Variance F1690.525657
Biased S.E. F41.116002
Mean e0.000000
Biased Variance e932.684220
Biased S.E. e11.542989



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