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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationTue, 07 Jul 2009 19:19:27 -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/2009/Jul/08/t1247016094y54meduezngoz75.htm/, Retrieved Sat, 18 May 2024 15:34:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=42343, Retrieved Sat, 18 May 2024 15:34:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact283
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Yahoo Answers] [2009-07-08 01:19:27] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
38
41
45
48
51
53
57
61
65
Dataseries Y:
116
120
123
131
142
145
148
150
152




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant60.461026
Beta1.4876920.1646859.033552 H0: beta = 0
Elasticity0.5565210.061606-7.198645 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
60.461026 & & & \tabularnewline Beta1.4876920.1646859.033552 H0: beta = 0 \tabularnewline Elasticity0.5565210.061606-7.198645 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=42343&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]
60.461026[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]1.487692[/C]0.164685[/C]9.033552[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.556521[/C]0.061606[/C]-7.198645[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=42343&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42343&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
Constant60.461026
Beta1.4876920.1646859.033552 H0: beta = 0
Elasticity0.5565210.061606-7.198645 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001438.5984621438.598462
Residual7.000000123.40153817.628791
Total8.0000001562.000000195.250000
F-TEST81.605054

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001438.5984621438.598462 \tabularnewline Residual7.000000123.40153817.628791 \tabularnewline Total8.0000001562.000000195.250000 \tabularnewline F-TEST81.605054 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=42343&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]1438.598462[/C]1438.598462[/C][/ROW] [ROW][C]Residual[/C]7.000000[/C]123.401538[/C]17.628791[/C][/ROW] [ROW][C]Total[/C]8.000000[/C]1562.000000[/C]195.250000[/C][/ROW] [ROW][C]F-TEST[/C]81.605054[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=42343&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42343&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
Regression1.0000001438.5984621438.598462
Residual7.000000123.40153817.628791
Total8.0000001562.000000195.250000
F-TEST81.605054







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.843486
Von Neumann Ratio0.948922
rho - Least Squares0.594700
rho - Maximum Likelihood0.470093
rho - Serial Correlation0.524626
rho - Goldberger0.528738

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.843486 \tabularnewline Von Neumann Ratio0.948922 \tabularnewline rho - Least Squares0.594700 \tabularnewline rho - Maximum Likelihood0.470093 \tabularnewline rho - Serial Correlation0.524626 \tabularnewline rho - Goldberger0.528738 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=42343&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.843486[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.948922[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.594700[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.470093[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.524626[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.528738[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=42343&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42343&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-Watson0.843486
Von Neumann Ratio0.948922
rho - Least Squares0.594700
rho - Maximum Likelihood0.470093
rho - Serial Correlation0.524626
rho - Goldberger0.528738







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X51.000000
Biased Variance X72.222222
Biased S.E. X8.498366
Mean Y136.333333
Biased Variance Y173.555556
Biased S.E. Y13.174049
Mean F136.333333
Biased Variance F159.844274
Biased S.E. F12.642954
Mean e0.000000
Biased Variance e13.711282
Biased S.E. e1.399555

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
51.000000 \tabularnewline Biased Variance X72.222222 \tabularnewline Biased S.E. X8.498366 \tabularnewline Mean Y136.333333 \tabularnewline Biased Variance Y173.555556 \tabularnewline Biased S.E. Y13.174049 \tabularnewline Mean F136.333333 \tabularnewline Biased Variance F159.844274 \tabularnewline Biased S.E. F12.642954 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e13.711282 \tabularnewline Biased S.E. e1.399555 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=42343&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]
51.000000[/C][/ROW] [ROW][C]Biased Variance X[/C]72.222222[/C][/ROW] [ROW][C]Biased S.E. X[/C]8.498366[/C][/ROW] [ROW][C]Mean Y[/C]136.333333[/C][/ROW] [ROW][C]Biased Variance Y[/C]173.555556[/C][/ROW] [ROW][C]Biased S.E. Y[/C]13.174049[/C][/ROW] [ROW][C]Mean F[/C]136.333333[/C][/ROW] [ROW][C]Biased Variance F[/C]159.844274[/C][/ROW] [ROW][C]Biased S.E. F[/C]12.642954[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]13.711282[/C][/ROW] [ROW][C]Biased S.E. e[/C]1.399555[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=42343&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=42343&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 X51.000000
Biased Variance X72.222222
Biased S.E. X8.498366
Mean Y136.333333
Biased Variance Y173.555556
Biased S.E. Y13.174049
Mean F136.333333
Biased Variance F159.844274
Biased S.E. F12.642954
Mean e0.000000
Biased Variance e13.711282
Biased S.E. e1.399555



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