In a simple linear regression based on 30 observations the

Question

In a simple linear regression based on 30 observations, the following information is provided: y = -6.92 + 1.35x and se = 2.78. Also, se(y₀) evaluated at x = 30 is 1.02.

a. Construct a 95% confidence interval for E(y) if x = 30.

b. Construct a 95% prediction interval fory if x equals 30.

c. Which interval is narrower? Explain.