For full marks you must be clear about any result you use, including any conditions for the result to hold and how the result is applied to the specific problem. Including unnecessary conditions is penalized. 1. Consider fitting a simple linear regression model, Y =Pot Bitter, with & independent N(0,o'), i=1,2,..,n. (a) [2 marks] Write down the least-squares equation, S(Bo, BI) = (b) [4 marks] Suppose Bo, , is the solution to the system of two equations 25 =0 and # =0. Obtain the partial derivatives. Do not simplify. as 381 (c) [4 marks] Show that 25 =0 and = =0 are equivalent to It_, (y:-y:) =0 and Et_, (y-9.)= =0, respectively