Let be the (k + 1) 1 vector of OLS estimates. (i) Show that for

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Let β̂ 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 β̂ uniquely minimizes SSR(b) over all possible values of b, assuming X has rank k + 1.

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Introductory Econometrics A Modern Approach

ISBN: 9781337558860

7th Edition

Authors: Jeffrey Wooldridge

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Question Posted: Jul 08, 2020 02:32 AM

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Let be the (k + 1) 1 vector of OLS estimates. (i) Show that for

Question:

SSR(b) = û'û + (B - b)'X'X(B - b).

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Introductory Econometrics A Modern Approach

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