Question: Explain why it is important for statistical inference that given (mathbf{x}) the least squares estimators (b_{1}) and (b_{2}) are normally distributed random variables.

Explain why it is important for statistical inference that given \(\mathbf{x}\) the least squares estimators \(b_{1}\) and \(b_{2}\) are normally distributed random variables.

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In statistical inference the goal is to draw conclusions or make predictions about a population based on a sample of data The least squares estimators ... View full answer

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