I just need to say this, to get it out of my system. I understand there are exceptions to almost every rule, but:
1. Most physical phenomena are described by sums and/or products of differential equations. These differential equations are usually nonlinear in the parameters by nature. (This means something different than "curved"!!)
2. Since these sums and/or products of differential equations are very difficult to model, we tend to fit Taylor Series approximations to them, since they are much easier to specify and can often do an acceptable job of fitting the data. These approximations are necessarily fit only over the range of the existing data.
3. Making predictions by extrapolating these approximations outside the existing data is like playing Russian Roulette.
Please don't be too upset if JMP and the responsible denizens of this community don't want to help you load your gun!
You can do anything your heart desires, no matter how statistically ill-considered or exceptional, by writing a JSL script. Scripts can be easily deployed across an enterprise. You may wish to consider writing some JSL to implement your procedures.
Good luck!