what are linear and nonlinear models?

Question

i want the definition and derivation of linear and nonlinear models

Answer 1

I can't give you the derivation of a linear/nonlinear model because it depends on what you are trying to model.

Basically it is a good representation of a normally very complex curve(or part of a curve).

Answer 2

A nonlinear model is any mode of the basic form y=f(x;B)+ E in which
1. the functional part of the model is not linear with respect to the unknown parameters, B , B ,...; 2. the method of least squares is used to estimate the values of the unknown parameters. These nonlinear models must meet two additional criteria: 3. the function is smooth with respect to the unknown parameters, and 4. the least squares criterion that is used to obtain the parameter estimates has a unique solution.
Check your website and see NIST/SEMATECH for more details.
-- Graciana

Answer 3

Linear models have the form:

ModelOutput = Constant + Coefficient1 * Variable1 + Coefficient2 * Variable2 + etc.

Linear models simply multiply each input variable by a coefficient, and add them all up (plus a constant).

Non-linear models are any models which are not linear models, like:

ModelOutput = (Coefficient1 * Variable1) / (Coefficient2 * Variable2)

It is worth noting that some nonlinear models are "linear in their parameters".

Answer 4

something i learned in intro to diff eq but forgot shortly after. something about a linearization matrix???

Answer 5

trujrs