Non-Linear Regression: Difference between revisions

Revision as of 16:44, 9 June 2014

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Non-Linear Regression

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

Reference Case

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.

Data

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

Result

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

Results in Weibull++

The following picture shows the results in Weibull++:

@@ Line 12: / Line 12: @@
 {| {{table}}
-!X
+!style="width: 20%;"|X
-!Y
+!style="width: 20%;"|Y
 |-
 | 2||54
@@ Line 56: / Line 56: @@
 {{Reference_Example_Heading4}}
+The following picture shows the results in Weibull++:
-[[Image:Eqnfitsolver.png|center|550px]]
+[[Image:Eqnfitsolver.png|center|600px]]

Non-Linear Regression: Difference between revisions

Revision as of 16:44, 9 June 2014

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