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Author's title

Author*Unverified author*
R Software Moduleslr.wasp
Title produced by softwareSimple Regression
Date of computationMon, 19 Nov 2007 05:43:08 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/19/t1195477456k0bxnpmsgtzyweu.htm/, Retrieved Fri, 03 May 2024 13:00:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5715, Retrieved Fri, 03 May 2024 13:00:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Simple Regression] [Hardness HRC - K...] [2007-11-19 12:43:08] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
402
414
426
438
452
Dataseries Y:
40
41
42
43
44




Simple Linear Regression - Ungrouped Data
ParameterValueS.E.T-STATNotes
Constant7.648649
Beta0.0805610.00150053.693575 H0: beta = 0
Elasticity0.8178890.015233-11.955375 H0: elast. = 1

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Ungrouped Data \tabularnewline

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

Constant
7.648649 & & & \tabularnewline Beta0.0805610.00150053.693575 H0: beta = 0 \tabularnewline Elasticity0.8178890.015233-11.955375 H0: elast. = 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5715&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]
7.648649[/C][C][/C][C][/C][C][/C][/ROW] [ROW][C]Beta[/C]0.080561[/C]0.001500[/C]53.693575[/C] H0: beta = 0[/C][/ROW] [ROW][C]Elasticity[/C]0.817889[/C]0.015233[/C]-11.955375[/C] H0: elast. = 1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5715&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5715&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
Constant7.648649
Beta0.0805610.00150053.693575 H0: beta = 0
Elasticity0.8178890.015233-11.955375 H0: elast. = 1







Simple Linear Regression - Analysis of Variance
ANOVADFSum of SquaresMean Square
Regression1.0000009.9896059.989605
Residual3.0000000.0103950.003465
Total4.00000010.0000002.500000
F-TEST2883.000000

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Analysis of Variance \tabularnewline

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

Regression
1.0000009.9896059.989605 \tabularnewline Residual3.0000000.0103950.003465 \tabularnewline Total4.00000010.0000002.500000 \tabularnewline F-TEST2883.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5715&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]9.989605[/C]9.989605[/C][/ROW] [ROW][C]Residual[/C]3.000000[/C]0.010395[/C]0.003465[/C][/ROW] [ROW][C]Total[/C]4.000000[/C]10.000000[/C]2.500000[/C][/ROW] [ROW][C]F-TEST[/C]2883.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5715&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5715&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
Regression1.0000009.9896059.989605
Residual3.0000000.0103950.003465
Total4.00000010.0000002.500000
F-TEST2883.000000







Simple Linear Regression - Autocorrelation
StatisticValue
Durbin-Watson1.891996
Von Neumann Ratio2.364995
rho - Least Squares-0.303156
rho - Maximum Likelihood-0.213926
rho - Serial Correlation-0.237136
rho - Goldberger-0.254662

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Autocorrelation \tabularnewline

Statistic & Value \tabularnewline

Durbin-Watson
1.891996 \tabularnewline Von Neumann Ratio2.364995 \tabularnewline rho - Least Squares-0.303156 \tabularnewline rho - Maximum Likelihood-0.213926 \tabularnewline rho - Serial Correlation-0.237136 \tabularnewline rho - Goldberger-0.254662 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5715&T=2

[TABLE]

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

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

[ROW][C]Durbin-Watson[/C]
1.891996[/C][/ROW] [ROW][C]Von Neumann Ratio[/C]2.364995[/C][/ROW] [ROW][C]rho - Least Squares[/C]-0.303156[/C][/ROW] [ROW][C]rho - Maximum Likelihood[/C]-0.213926[/C][/ROW] [ROW][C]rho - Serial Correlation[/C]-0.237136[/C][/ROW] [ROW][C]rho - Goldberger[/C]-0.254662[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5715&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5715&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-Watson1.891996
Von Neumann Ratio2.364995
rho - Least Squares-0.303156
rho - Maximum Likelihood-0.213926
rho - Serial Correlation-0.237136
rho - Goldberger-0.254662







Simple Linear Regression - Descriptive Statistics
StatisticValue
Mean X426.400000
Biased Variance X307.840000
Biased S.E. X17.545370
Mean Y42.000000
Biased Variance Y2.000000
Biased S.E. Y1.414214
Mean F42.000000
Biased Variance F1.997921
Biased S.E. F1.413478
Mean e0.000000
Biased Variance e0.002079
Biased S.E. e0.026325

\begin{tabular}{lllllllll}
\hline

Simple Linear Regression - Descriptive Statistics \tabularnewline

Statistic & Value \tabularnewline

Mean X
426.400000 \tabularnewline Biased Variance X307.840000 \tabularnewline Biased S.E. X17.545370 \tabularnewline Mean Y42.000000 \tabularnewline Biased Variance Y2.000000 \tabularnewline Biased S.E. Y1.414214 \tabularnewline Mean F42.000000 \tabularnewline Biased Variance F1.997921 \tabularnewline Biased S.E. F1.413478 \tabularnewline Mean e0.000000 \tabularnewline Biased Variance e0.002079 \tabularnewline Biased S.E. e0.026325 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=5715&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]
426.400000[/C][/ROW] [ROW][C]Biased Variance X[/C]307.840000[/C][/ROW] [ROW][C]Biased S.E. X[/C]17.545370[/C][/ROW] [ROW][C]Mean Y[/C]42.000000[/C][/ROW] [ROW][C]Biased Variance Y[/C]2.000000[/C][/ROW] [ROW][C]Biased S.E. Y[/C]1.414214[/C][/ROW] [ROW][C]Mean F[/C]42.000000[/C][/ROW] [ROW][C]Biased Variance F[/C]1.997921[/C][/ROW] [ROW][C]Biased S.E. F[/C]1.413478[/C][/ROW] [ROW][C]Mean e[/C]0.000000[/C][/ROW] [ROW][C]Biased Variance e[/C]0.002079[/C][/ROW] [ROW][C]Biased S.E. e[/C]0.026325[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=5715&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5715&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 X426.400000
Biased Variance X307.840000
Biased S.E. X17.545370
Mean Y42.000000
Biased Variance Y2.000000
Biased S.E. Y1.414214
Mean F42.000000
Biased Variance F1.997921
Biased S.E. F1.413478
Mean e0.000000
Biased Variance e0.002079
Biased S.E. e0.026325



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