In a simple linear regression based on 30 observations, the following information is provided: = -6.92

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In a simple linear regression based on 30 observations, the following information is provided:  = -6.92 + 1.35x and se = 2.78. Also, se (0) evaluated at x = 30 is 1.02.

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

b. Construct the 95% prediction interval for y if x equals 30.

c. Which interval is narrower? Explain.


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