Question

Ridge regression.the following two questions are independent.

(a) consider the objective function for ridge regression p lei lear a leg. j=1 show that the objective function can be rewritten in the following form › 3,01)2 1=1 wi by finding out m, ÿ, and ulj.

Answer 1

Ridge regression is a technique used to address multicollinearity in statistics. The objective function can be rewritten by finding the values of m, ÿ, and ulj.

Step-by-step explanation:

Ridge regression is a technique used in statistics to address the issue of multicollinearity, where the independent variables are highly correlated. The objective function for ridge regression is given by:

∑i=1 (yi - β0 - β1xi1 - β2xi2 - ... - βpxip)2 + λ∑j=1 βj2

Where λ is the penalty parameter that controls the amount of shrinkage applied to the coefficients. To rewrite the objective function, we need to find the values of m, ÿ, and ulj:

m = number of observations

ÿ = mean of the dependent variable

ulj = mean of the jth independent variable