Question: In a simple linear regression based on eight observations, the following sample regression is obtained: y = 9.15 + 1.46x with s e = 2.67.

In a simple linear regression based on eight observations, the following sample regression is obtained: ŷ = 9.15 + 1.46x with s_e = 2.67. Also, when x equals 15, s_e(ŷ⁰) = 1.06.

a. Construct the 95% confidence interval for E(y) if x = 15.

b. Construct the 95% prediction interval for y if x = 15.

c. Which interval is wider? Explain.

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