Why are the assumptions in the Gauss-Markov theory important for the estimator (β ̂_2) of a sample regression function?

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answerhappygod
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Why are the assumptions in the Gauss-Markov theory important for the estimator (β ̂_2) of a sample regression function?

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Why are the assumptions in the Gauss-Markov theory important for
the estimator (β ̂_2) of a sample regression function? Provide
explanations and examples for each assumption!
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