Question: Suppose that you are interested in creating a prediction interval for Y at a particular value of X 1 (denoted by X 1 h )

Suppose that you are interested in creating a prediction interval for Y at a particular value of X₁ (denoted by X₁_h ) using a simple linear regression model, and that data has not yet been collected. For a given sample size n, how you would attempt to collect the sample data to make the most accurate prediction?

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