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5 (a) The straight line model for the response Y for a given 3: is Y = 139 + 513: + 5. Assume that E()

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5 (a) The straight line model for the response Y for a given 3: is Y = 139 + 513: + 5. Assume that E() = 0. Derive least squares estimates of u and ] . (b) The following data give the annual incomes (in thousands of dollars) and amounts (in thousands of dollars) of life insurance policies for eight persons. X -"Im Y (i) Calculate the least-squares regression line for these data. (ii) Plot the points and the least-squares regression line on the same graph. (iii) Predict life insurance if a person's income is $60,000. (iv) Construct a 95% condence interval for )31 and interpret

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