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V L J 3. [7 marks] Consider the model Y;- 2 65% + 614, Where the 6,; are independent random variables from a N(O, 02)

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V L J 3. [7 marks] Consider the model Y;- 2 65% + 614, Where the 6,; are independent random variables from a N(O, 02) distribution and the sci > 0 are xed values. An estimator of 6 from a sample of n observations is _1 n 7 n 211:1 Yi I _ L , . / r _1 'L r . n 271:] M (a) Show 5' is an unbiased estimator of B. [4 marks] (b) Determine Var(,8). [3 marks]

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