View source for Non-Linear Regression

{{Reference Example}}

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


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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.


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{| {{table|10%}}
!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
|-
 
|}


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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


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The following picture shows the results in Weibull++:

[[Image:Eqnfitsolver.png|center|600px]]