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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationMon, 05 Apr 2010 14:41:24 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Apr/05/t12704785530t19s9yrqs88tef.htm/, Retrieved Sat, 20 Apr 2024 09:27:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74596, Retrieved Sat, 20 Apr 2024 09:27:56 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact238
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Graph of 1/h vs #...] [2010-04-05 14:41:24] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
1
2
3
4
Dataseries Y:
0.1426277885
0.1584272435
0.4038973555
0.3366555943




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant0.053514
Beta0.0827550.0405382.041451 H0: beta = 0
Elasticity0.7944960.389182-0.528040 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
0.053514 & & & \tabularnewline Beta0.0827550.0405382.041451 H0: beta = 0 \tabularnewline Elasticity0.7944960.389182-0.528040 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=74596&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]
0.053514[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.082755[/C]0.040538[/C]2.041451[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.794496[/C]0.389182[/C]-0.528040[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=74596&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74596&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
Constant0.053514
Beta0.0827550.0405382.041451 H0: beta = 0
Elasticity0.7944960.389182-0.528040 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000000.0342420.034242
Residual2.0000000.0164330.008216
Total3.0000000.0506750.016892
F-TEST4.167522

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000000.0342420.034242 \tabularnewline Residual2.0000000.0164330.008216 \tabularnewline Total3.0000000.0506750.016892 \tabularnewline F-TEST4.167522 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=74596&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]0.034242[/C]0.034242[/C][/ROW] [ROW][C]Residual[/C]2.000000[/C]0.016433[/C]0.008216[/C][/ROW] [ROW][C]Total[/C]3.000000[/C]0.050675[/C]0.016892[/C][/ROW] [ROW][C]F-TEST[/C]4.167522[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=74596&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74596&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
Regression1.0000000.0342420.034242
Residual2.0000000.0164330.008216
Total3.0000000.0506750.016892
F-TEST4.167522







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson3.253127
Von Neumann Ratio4.337503
rho - Least Squares-0.810631
rho - Maximum Likelihood-0.699266
rho - Serial Correlation-0.930061
rho - Goldberger-0.752892

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
3.253127 \tabularnewline Von Neumann Ratio4.337503 \tabularnewline rho - Least Squares-0.810631 \tabularnewline rho - Maximum Likelihood-0.699266 \tabularnewline rho - Serial Correlation-0.930061 \tabularnewline rho - Goldberger-0.752892 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=74596&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
3.253127[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]4.337503[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.810631[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.699266[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.930061[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.752892[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=74596&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74596&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-Watson3.253127
Von Neumann Ratio4.337503
rho - Least Squares-0.810631
rho - Maximum Likelihood-0.699266
rho - Serial Correlation-0.930061
rho - Goldberger-0.752892







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X2.500000
Biased Variance X1.250000
Biased S.E. X1.118034
Mean Y0.260402
Biased Variance Y0.012669
Biased S.E. Y0.112556
Mean F0.260402
Biased Variance F0.008561
Biased S.E. F0.092523
Mean e0.000000
Biased Variance e0.004108
Biased S.E. e0.045322

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
2.500000 \tabularnewline Biased Variance X1.250000 \tabularnewline Biased S.E. X1.118034 \tabularnewline Mean Y0.260402 \tabularnewline Biased Variance Y0.012669 \tabularnewline Biased S.E. Y0.112556 \tabularnewline Mean F0.260402 \tabularnewline Biased Variance F0.008561 \tabularnewline Biased S.E. F0.092523 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.004108 \tabularnewline Biased S.E. e0.045322 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=74596&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]
2.500000[/C][/ROW] [ROW][C]Biased Variance X[/C]1.250000[/C][/ROW] [ROW][C]Biased S.E. X[/C]1.118034[/C][/ROW] [ROW][C]Mean Y[/C]0.260402[/C][/ROW] [ROW][C]Biased Variance Y[/C]0.012669[/C][/ROW] [ROW][C]Biased S.E. Y[/C]0.112556[/C][/ROW] [ROW][C]Mean F[/C]0.260402[/C][/ROW] [ROW][C]Biased Variance F[/C]0.008561[/C][/ROW] [ROW][C]Biased S.E. F[/C]0.092523[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.004108[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.045322[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=74596&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74596&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 X2.500000
Biased Variance X1.250000
Biased S.E. X1.118034
Mean Y0.260402
Biased Variance Y0.012669
Biased S.E. Y0.112556
Mean F0.260402
Biased Variance F0.008561
Biased S.E. F0.092523
Mean e0.000000
Biased Variance e0.004108
Biased S.E. e0.045322



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