Consider the simple linear regression model yi = Bot Birite;, i=1,. ..,n ~ N (0, 0? ) . We assume the following priors for the parameters: Bo ~ N(0, 03), B1 ~ N(0, 03), o' ~ IG(a, b). The Inverse Gamma IG(a, b) distribution has pdf ba f (x) = -a-1 T(a) exp Derive the conditional posterior distribution of Bo, B, and o