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Question 4. Suppose that we want to predict Y via a variable X. There are n observations (X, Y() for i = 1,2, ..., n.

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Question 4. Suppose that we want to predict Y via a variable X. There are n observations (X, Y() for i = 1,2, ..., n. Define X YZ Z = 1 X3 Xn You are given 76.0 153.1 1923 Z'Z = 153.1 328.7 3345 1923 3345 62690 Consider the simple linear regression model Y - Bo + B,X + Error. Here, the error terms are assumed to be independent N (0, g?) (a) Find the least square estimates for Bo and B1. [4 marks] (b) Find the spreads s2, which is an estimate of ?. [3 marks]

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