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7. (10 points) Let x be the sample mean. Show the following statements: (i) Ci-1 (xi - x) = 0; (ii) 62 = Liza -

7. (10 points) Let x be the sample mean. Show the following statements: (i) Ci-1 (xi - x) = 0; (ii) 62 = Liza - 12; (iii) En (xi - x) (yi - y) = EL(xi - x)yi = ELINi(yi -y); (iv) ELI (xi - x) (yi - y) = EL xiyi - nxy; (v) EMI (xi - x)2 = Ex? -nx2

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