 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-218/6/a/solution

The prior is

β_{1}, β_{2} \sim iid N (0, 1) .

The software samples from the Bayesian posterior; the displayed "Estimate" values are posterior means computed from the Markov-chain Monte Carlo draws.

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