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Normal linear regression MLE Suppose we have a set of known n values, T1, ..., In. Consider a random sample of the same size, Y1,

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Normal linear regression MLE Suppose we have a set of known n values, T1, ..., In. Consider a random sample of the same size, Y1, . .., Y, ~ f(vi; Ti, Bo, B1, ) with 1 f (vi; Bo, B1, 0) = 202 V2NO e (1) -00 0. We have three parameters, Bo, B1, o', whereas r; are known values. Note: Some of you may have noticed that this is a linear regression with a normal error, Vi = Bo+ B1+ci, where fi ~iid N(0, 0?) 1. From equation (1), show that the log likelihood is 1 (log 2n + log(o?)) 202 E(vi - Bo - BII:)?. i=1

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