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Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationWed, 23 Apr 2008 12:22:16 -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/Apr/23/t1208975324olhrvz2fyr3xnq2.htm/, Retrieved Thu, 09 May 2024 20:07:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10677, Retrieved Thu, 09 May 2024 20:07:13 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact276
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Offline:Direct Sales] [2008-04-23 18:22:16] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
586245
420280
15200
297513.4
706908.25
0
0
0
21449
0
146.7
-44.78
555865.97
638013.63
123921.37
Dataseries Y:
6134
6678
7116
6340
5666
5693
6109
5656
5183
5319
5212
5037
5387
6221
6630




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant5795.028396
Beta0.0004320.0006130.705870 H0: beta = 0
Elasticity0.0164690.023332-42.153821 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
5795.028396 & & & \tabularnewline Beta0.0004320.0006130.705870 H0: beta = 0 \tabularnewline Elasticity0.0164690.023332-42.153821 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10677&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]
5795.028396[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.000432[/C]0.000613[/C]0.705870[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.016469[/C]0.023332[/C]-42.153821[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10677&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10677&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
Constant5795.028396
Beta0.0004320.0006130.705870 H0: beta = 0
Elasticity0.0164690.023332-42.153821 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.000000203056.399555203056.399555
Residual13.0000005.297991e+6407537.733368
Total14.0000005.501047e+6392931.923810
F-TEST0.498252

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.000000203056.399555203056.399555 \tabularnewline Residual13.0000005.297991e+6407537.733368 \tabularnewline Total14.0000005.501047e+6392931.923810 \tabularnewline F-TEST0.498252 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10677&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]203056.399555[/C]203056.399555[/C][/ROW] [ROW][C]Residual[/C]13.000000[/C]5.297991e+6[/C]407537.733368[/C][/ROW] [ROW][C]Total[/C]14.000000[/C]5.501047e+6[/C]392931.923810[/C][/ROW] [ROW][C]F-TEST[/C]0.498252[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10677&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10677&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
Regression1.000000203056.399555203056.399555
Residual13.0000005.297991e+6407537.733368
Total14.0000005.501047e+6392931.923810
F-TEST0.498252







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson0.777460
Von Neumann Ratio0.832993
rho - Least Squares0.624985
rho - Maximum Likelihood0.553723
rho - Serial Correlation0.592458
rho - Goldberger0.588276

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
0.777460 \tabularnewline Von Neumann Ratio0.832993 \tabularnewline rho - Least Squares0.624985 \tabularnewline rho - Maximum Likelihood0.553723 \tabularnewline rho - Serial Correlation0.592458 \tabularnewline rho - Goldberger0.588276 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10677&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
0.777460[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]0.832993[/C][/ROW] [ROW][C]rho - Least Squares[/C]0.624985[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]0.553723[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]0.592458[/C][/ROW] [ROW][C]rho - Goldberger[/C]0.588276[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10677&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10677&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-Watson0.777460
Von Neumann Ratio0.832993
rho - Least Squares0.624985
rho - Maximum Likelihood0.553723
rho - Serial Correlation0.592458
rho - Goldberger0.588276







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X224366.569333
Biased Variance X7.236951e+10
Biased S.E. X269015.812639
Mean Y5892.066667
Biased Variance Y366736.462222
Biased S.E. Y605.587700
Mean F5892.066667
Biased Variance F13537.093304
Biased S.E. F116.349015
Mean e0.000000
Biased Variance e353199.368919
Biased S.E. e164.830768

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
224366.569333 \tabularnewline Biased Variance X7.236951e+10 \tabularnewline Biased S.E. X269015.812639 \tabularnewline Mean Y5892.066667 \tabularnewline Biased Variance Y366736.462222 \tabularnewline Biased S.E. Y605.587700 \tabularnewline Mean F5892.066667 \tabularnewline Biased Variance F13537.093304 \tabularnewline Biased S.E. F116.349015 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e353199.368919 \tabularnewline Biased S.E. e164.830768 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=10677&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]
224366.569333[/C][/ROW] [ROW][C]Biased Variance X[/C]7.236951e+10[/C][/ROW] [ROW][C]Biased S.E. X[/C]269015.812639[/C][/ROW] [ROW][C]Mean Y[/C]5892.066667[/C][/ROW] [ROW][C]Biased Variance Y[/C]366736.462222[/C][/ROW] [ROW][C]Biased S.E. Y[/C]605.587700[/C][/ROW] [ROW][C]Mean F[/C]5892.066667[/C][/ROW] [ROW][C]Biased Variance F[/C]13537.093304[/C][/ROW] [ROW][C]Biased S.E. F[/C]116.349015[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]353199.368919[/C][/ROW] [ROW][C]Biased S.E. e[/C]164.830768[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=10677&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10677&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 X224366.569333
Biased Variance X7.236951e+10
Biased S.E. X269015.812639
Mean Y5892.066667
Biased Variance Y366736.462222
Biased S.E. Y605.587700
Mean F5892.066667
Biased Variance F13537.093304
Biased S.E. F116.349015
Mean e0.000000
Biased Variance e353199.368919
Biased S.E. e164.830768



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