Nonlinear regression: Difference between revisions

Revision as of 01:37, 13 July 2018

Revision as of 10:07, 17 February 2019

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:<math> \mathbf{y} \sim f(\mathbf{x}, \boldsymbol\beta)</math>

relates a vector of [[independent variables]], '''x''', and theirits associated observed [[dependent variables]], '''y'''. The function ''f'' is nonlinear in the components of the vector of parameters ''β'', but otherwise arbitrary. For example, the [[Michaelis–Menten]] model for enzyme kinetics has two parameters and one independent variable, related by ''f'' by:{{efn|This model can also be expressed in the conventional biological notation:

:<math> v = \frac{V_\max\ [\mbox{S}]}{K_m + [\mbox{S}]} </math>