a. Polynomial regression functions are linear with respect to the parameters θ0,…,θk.
Taking xj = xj this kind of regression models can be written in the following form:
This is a special form of the linear regression model (19.4).
b. The classical linear regression function can be written as general linear model based on the following functions fj(·):
c. Assumption (3) in Theorem 19.1 implies that Yxi, i = 1 (1)n are independent.