Multivariate regression formulas

The updatfng formulas. Under the normal linear regression assumptions, the least squares estimates maximize the likelihood function. This makes them the maximum likelihood estimates and their covariance matrix the eovariance matrix of the maximum likelihood estimates. Thus the posterior has the multivariate normal where the constants are found by the updating formulas "the posterior precision matrix equals the sum of the prior precision matrix plus the precision matrix of the "maximum likelihood estimates"... 

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