The Gauss-Markov Theorem Proves That A $t$ Distributed $X _ { 1 } , \ldots , X _ { n }$

question 28

Short Answer

The Gauss-Markov Theorem proves that a. the OLS estimator is $t$ distributed.
b. the OLS estimator has the smallest mean square error.
c. the OLS estimator is unbiased.
d. with homoskedastic errors, the OLS estimator has the smallest variance in the class of linear and unbiased estimators, conditional on $X _ { 1 } , \ldots , X _ { n }$ .

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Definitions:

Reliability

The degree to which interviews, tests, and other selection procedures yield comparable data over time

Performance Standards

The expected levels of performance or benchmarks that a job, employee, or organization is expected to achieve.

Measurable Standards

Benchmarks or criteria that can be quantified to evaluate performance or progress towards specific objectives.

Traits

Enduring and distinct personality characteristics that influence an individual's behavior, perception, and interaction with the environment.