Question: (a) The Norm condition number 2(X X) provides a reliable measure of the illconditioning of the (X X) matrix, but det(X X) 0 does

(a) The Norm condition number κ2(X X) provides a reliable measure of the illconditioning of the (X X) matrix, but det(X X)  0 does not.

(b) Explain why κ2(X X) invokes no probabilistic assumptions about the underlying data, but the correlation matrix among regressors does!

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