Question: Answer using R studio software Ex. 3.7 Assume y,~ N(Bo + x3,0), i = 1,2,..., N, and the parameters 3, are each distributed as N(0,

Answer using R studio software

$Ex. 3.7 Assume ( y_{i} sim Nleft(beta_{0}+x_{i}^{T} beta, sigma^{2}ight), i=1,2, ldots, N ), and the parameters ($

Ex. 3.7 Assume y,~ N(Bo + x3,0), i = 1,2,..., N, and the parameters 3, are each distributed as N(0, 72), independently of one another. Assuming 2 and 72 are known, show that the (minus) log-posterior density of 3 is proportional to 1 (Ji-Bo-jijj) + A-133 where A = 0/7. j=1

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