Heteronomial Modeling For Empirical Curve Fitting

Heteronomials are mutlivariate curve fitting models where each variable is raised to some power, such as:
Y² = a + b*X₁^2.3 + c*X₂^0.5 + d*X₃^3.1
Y^1.5 = a + b*X₁^1.3 + c*X₂^2.5 + d*X₃^0.7
Y = a + b*X₁³ + c*X₂ + d*X₃^1.7