Let
be the (k + 1) × 1 vector of OLS estimates.
(i) Show that for any (k + 1) × 1 vector b, we can write the sum of squared residuals as
(ii) Explain how the expression for SSR(b) in part (i) proves that
uniquely minimizes SSR(b) over all possible values of b, assuming X has rank k + 1.
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