Suppose that b is the least squares coefficient vector in the regression of y on X and

Question:

Suppose that b is the least squares coefficient vector in the regression of y on X and that c is any other K × 1 vector. Prove that the difference in the two sums of squared residuals is

(y − Xc)' (y − Xc) − (y − Xb)' (y − Xb) = (c − b) X'X(c − b).


Prove that this difference is positive.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Econometric Analysis

ISBN: 978-0131395381

7th edition

Authors: William H. Greene

Question Posted: