(a) Answer the questions below (i) [5 marks] Suppose that Y is distributed as t12. Find P(Y1.782). (ii) [5 marks] If W is an estimator of some parameter , define the bias of W. (b) Consider the general multiple regression model y=0+1x1+2x2++5x5+u where u is an unobserved error term. Suppose that var(ux1,x2,,x5)=2. (i) [5 marks] Name one method for obtaining estimates of the i,i=0,,5. No explanations necessary. (ii) [10 marks] You are given the following estimate for 2 : s2=n6SSR, where n denotes sample size and SSR denotes the sum of squared residuals. Does this provide an unbiased estimate of 2? Explain briefly. (a) Answer the questions below (i) [5 marks] Suppose that Y is distributed as t12. Find P(Y1.782). (ii) [5 marks] If W is an estimator of some parameter , define the bias of W. (b) Consider the general multiple regression model y=0+1x1+2x2++5x5+u where u is an unobserved error term. Suppose that var(ux1,x2,,x5)=2. (i) [5 marks] Name one method for obtaining estimates of the i,i=0,,5. No explanations necessary. (ii) [10 marks] You are given the following estimate for 2 : s2=n6SSR, where n denotes sample size and SSR denotes the sum of squared residuals. Does this provide an unbiased estimate of 2? Explain briefly