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I'm doing some practice questions for an upcoming exam and am unsure whether I've understood the problem correctly. Can anyone confirm what I've done or point out where I've gone wrong?

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My final answer is the same as for the question below which is one that we did in a tutorial

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Since we're still under the assumption of normal errors (albeit with different variances), the Least Squares Estimate should equal the MLE. Is that correct?

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