# Non-Linear Regression

 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 $y = a exp(-bx)\,\!$ is used. The estimated model parameters and the variances are $\hat{a}\,\!$ = 58.6065, $std_{\hat{a}}\,\!$ = 1.472, $\hat{b}\,\!$ = -0.03959, $std_{\hat{b}}\,\!$ = 0.00171

Results in Weibull++

The following picture shows the results in Weibull++: