An experiment was conducted to study the effect of a new drug in lowering the heart rate in adults. The data collected are shown in the following table.

a. Find the 95% confidence interval for the mean heart rate reduction for a dose of 2.00 mg.
b. Find the 95% prediction interval for the heart rate reduction expected for an individual receiving a dose of 2.00 mg.

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x, DrugDose in mg 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 y Heart Rate Reduction 10 715 1 15 14 20 20 18 21