Consider the simple univariate regression model of Section 12.2.1. Introduce a natural conjugate prior for (B. B.

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Consider the simple univariate regression model of Section 12.2.1. Introduce a natural conjugate prior for (B. B. ).

(a) Find the joint posterior density for (B1, B2, ).

(b) Find the marginal posterior density for (B1, B2).

(c) Find the marginal posterior density for (o).

(d) Find the marginal posterior density for ().

(e) Find the predictive density for a new observation y*, based upon a new observation x*. ==

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