Non-Linear Regression - Revision history

Kate Racaza at 16:25, 28 September 2015

2015-09-28T16:25:52Z

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	This example ~~compares~~ the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool.		This example validates the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool.

Kate Racaza at 20:33, 10 June 2014

2014-06-10T20:33:43Z

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Kate Racaza at 16:44, 9 June 2014

2014-06-09T16:44:35Z

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			The following picture shows the results in Weibull++:

	[[Image:Eqnfitsolver.png\|center\|~~550px~~]]		[[Image:Eqnfitsolver.png\|center\|600px]]

Kate Racaza: Created page with '{{Reference Example}} This example compares the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool. {{Reference_Example_Heading1}} The data s…'

2014-06-05T21:17:58Z

Created page with '{{Reference Example}} This example compares the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool. {{Reference_Example_Heading1}} The data s…'

New page

{{Reference Example}}

This example compares the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool.

{{Reference_Example_Heading1}}

The data set is from Table 13.1 on page 515 in the book ''Applied Linear Statistical Models'' by Kutner, Nachtsheim, Neter, and Li, McGraw-Hill, 2005.

{{Reference_Example_Heading2}}

{| {{table}}
!X
!Y
|-
| 2||54
|-
| 5||50
|-
| 7||45
|-
| 10||37
|-
| 14||35
|-
| 19||25
|-
| 26||20
|-
| 31||16
|-
| 34||18
|-
| 38||13
|-
| 45||8
|-
| 52||11
|-
| 53||8
|-
| 60||4
|-
| 65||6
|-

|}

{{Reference_Example_Heading3}}

In the book, the exponential function <math>y = a exp(-bx)\,\!</math> is used. The estimated model parameters and the variances are <math>\hat{a}\,\!</math> = 58.6065, <math>std_{\hat{a}}\,\!</math> = 1.472, <math>\hat{b}\,\!</math> = -0.03959, <math>std_{\hat{b}}\,\!</math> = 0.00171

{{Reference_Example_Heading4}}

[[Image:Eqnfitsolver.png|center|550px]]