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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationThu, 13 Mar 2008 18:05:37 -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/14/t1205453221t7333b58xp5an8f.htm/, Retrieved Sat, 18 May 2024 10:25:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10071, Retrieved Sat, 18 May 2024 10:25:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact266
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [1000 Martin Luthe...] [2008-03-14 00:05:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
164900
153250
168000
158000
Dataseries Y:
868
836
840
750




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant324.830317
Beta0.0030970.0049510.625464 H0: beta = 0
Elasticity0.6055490.968160-0.407423 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
324.830317 & & & \tabularnewline Beta0.0030970.0049510.625464 H0: beta = 0 \tabularnewline Elasticity0.6055490.968160-0.407423 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10071&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]
324.830317[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.003097[/C]0.004951[/C]0.625464[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.605549[/C]0.968160[/C]-0.407423[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10071&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10071&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
Constant324.830317
Beta0.0030970.0049510.625464 H0: beta = 0
Elasticity0.6055490.968160-0.407423 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000001277.8918661277.891866
Residual2.0000006533.1081343266.554067
Total3.0000007811.0000002603.666667
F-TEST0.391205

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000001277.8918661277.891866 \tabularnewline Residual2.0000006533.1081343266.554067 \tabularnewline Total3.0000007811.0000002603.666667 \tabularnewline F-TEST0.391205 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10071&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]1277.891866[/C]1277.891866[/C][/ROW] [ROW][C]Residual[/C]2.000000[/C]6533.108134[/C]3266.554067[/C][/ROW] [ROW][C]Total[/C]3.000000[/C]7811.000000[/C]2603.666667[/C][/ROW] [ROW][C]F-TEST[/C]0.391205[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10071&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10071&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
Regression1.0000001277.8918661277.891866
Residual2.0000006533.1081343266.554067
Total3.0000007811.0000002603.666667
F-TEST0.391205







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.801826
Von Neumann Ratio1.069101
rho - Least Squares0.548634
rho - Maximum Likelihood0.243040
rho - Serial Correlation0.271534
rho - Goldberger0.365157

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.801826 \tabularnewline Von Neumann Ratio1.069101 \tabularnewline rho - Least Squares0.548634 \tabularnewline rho - Maximum Likelihood0.243040 \tabularnewline rho - Serial Correlation0.271534 \tabularnewline rho - Goldberger0.365157 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10071&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.801826[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]1.069101[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.548634[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.243040[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.271534[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.365157[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10071&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10071&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-Watson0.801826
Von Neumann Ratio1.069101
rho - Least Squares0.548634
rho - Maximum Likelihood0.243040
rho - Serial Correlation0.271534
rho - Goldberger0.365157







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X161037.500000
Biased Variance X3.331672e+7
Biased S.E. X5772.063647
Mean Y823.500000
Biased Variance Y1952.750000
Biased S.E. Y44.189931
Mean F823.500000
Biased Variance F319.472967
Biased S.E. F17.873807
Mean e0.000000
Biased Variance e1633.277033
Biased S.E. e28.576888

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
161037.500000 \tabularnewline Biased Variance X3.331672e+7 \tabularnewline Biased S.E. X5772.063647 \tabularnewline Mean Y823.500000 \tabularnewline Biased Variance Y1952.750000 \tabularnewline Biased S.E. Y44.189931 \tabularnewline Mean F823.500000 \tabularnewline Biased Variance F319.472967 \tabularnewline Biased S.E. F17.873807 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e1633.277033 \tabularnewline Biased S.E. e28.576888 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10071&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]
161037.500000[/C][/ROW] [ROW][C]Biased Variance X[/C]3.331672e+7[/C][/ROW] [ROW][C]Biased S.E. X[/C]5772.063647[/C][/ROW] [ROW][C]Mean Y[/C]823.500000[/C][/ROW] [ROW][C]Biased Variance Y[/C]1952.750000[/C][/ROW] [ROW][C]Biased S.E. Y[/C]44.189931[/C][/ROW] [ROW][C]Mean F[/C]823.500000[/C][/ROW] [ROW][C]Biased Variance F[/C]319.472967[/C][/ROW] [ROW][C]Biased S.E. F[/C]17.873807[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]1633.277033[/C][/ROW] [ROW][C]Biased S.E. e[/C]28.576888[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10071&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10071&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 X161037.500000
Biased Variance X3.331672e+7
Biased S.E. X5772.063647
Mean Y823.500000
Biased Variance Y1952.750000
Biased S.E. Y44.189931
Mean F823.500000
Biased Variance F319.472967
Biased S.E. F17.873807
Mean e0.000000
Biased Variance e1633.277033
Biased S.E. e28.576888



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