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(c) You are given the following paired data Xi yi 0.93 -15.33 10 10 -16.96 for which 8=5.5 V= -7.988. 10 E (vi - 7)=

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(c) You are given the following paired data Xi yi 0.93 -15.33 10 10 -16.96 for which 8=5.5 V= -7.988. 10 E (vi - 7)= =336.62, 2(x-f)= =82.5, 10 E(x-1)(i-7) = -166.59. Assume that the data satisfy the usual simple linear regression model, so that the y; are observations of a random variable Y whose conditional distribution given X = x has the form N(a + bx, G'). i) Calculate the predicted mean response if x = 11. [4 marks] ii) Find a 95% confidence interval for the slope parameter b. [5 marks] Total: 25 marks

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