The Gauss-Markov Theorem for Multiple Regression Proves That A $\boldsymbol { M } _ { \boldsymbol { X } }$

question 31

Short Answer

The Gauss-Markov theorem for multiple regression proves that a. $\boldsymbol { M } _ { \boldsymbol { X } }$ is an idempotent matrix.
b. the OLS estimator is BLUE.
c. the OLS residuals and predicted values are orthogonal.
d. the variance-covariance matrix of the OLS estimator is $\sigma _ { u } ^ { 2 } ( \boldsymbol { X } \boldsymbol { X } ) ^ { - 1 }$ .

---

Definitions:

Elevator Pitch

A succinct and persuasive sales pitch designed to outline an idea or product within the time span of an elevator ride.

Résumé Keywords

Specific terms used strategically in a résumé to catch the attention of hiring professionals and applicant tracking systems.

Job Titles

Formal designations of positions within an organization, reflecting the role and level of responsibility.

Job Search

The process of looking for employment, through various means such as online job boards, networking, or direct applications.