Non-Linear Regression
This example validates 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 is used. The estimated model parameters and the variances are = 58.6065, = 1.472, = -0.03959, = 0.00171
Results in Weibull++
The following picture shows the results in Weibull++: