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See how to create non-linear models for situations where linear models just won’t work and there are exponents in the model parameters. Techniques are useful to uncover interesting relationships where the rate of change over time, concentration, or any number of varying inputs defies characterization with linear models. These situations, and half-life, kinetics for growth or decay, pharmacometrics, and sigmoidal potency responses that often require special handling can be addressed using non-linear models. 

Fitting Curves to Non-Linear Data - JMP User Community