Let 11eb9ee2_f04e_b6a0_8edd_b7c4eb2db1e2_SM2712_11 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 11eb9ee2_f04e_ddb1_8edd_23ef21d8cf31_SM2712_11 (ii) Explain how the expression for SSR(b) in part (i) proves that 11eb9ee2_f04e_ddb2_8edd_09a5259547fa_SM2712_11 uniquely minimizes SSR(b) over all possible values of b, assuming X has rank k + 1.

Introductory Econometrics 4th Edition by Jeffrey Wooldridge

النسخة 4الرقم المعياري الدولي: 978-0324660609

النسخة 4الرقم المعياري الدولي: 978-0324660609

تمرين 2

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.

التوضيح

موثّق

Consider be the vector of OLS estimate...