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In a multiple regression based on 30 observations,the following information is provided: = 469 - 2x1 + 6x2- 0.5x3 and se = 16.Also,when x1 = 30,x2 = 10,and x3 = 65
= 37.
a.Construct a 90% confidence interval for E(y)if x1 = 30,x2 = 10,and x3 = 65.
b.Construct a 90% prediction interval for y if x1 = 30,x2 = 10,and x3 = 65.
c.Which interval is narrower? Explain.
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