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Linear regression model: P: z = Ax+By +C that passes through the three points P(1, 1, 2), Q(1, 2, 6) and R(2,2,1) i) Write explicit

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Linear regression model: P: z = Ax+By +C that passes through the three points P(1, 1, 2), Q(1, 2, 6) and R(2,2,1) i) Write explicit form with the squared error loss function considering R0 and R: 3 J(A, B, C) = 2(21- (Ax: + By,- + 0))2 i=1 ii) Find partial derivatives BJ BJ BJ m 63 311d @- iii) Set all the 3 partial derivatives found in iii equal to 0, then solve a system of equations to find A,B.C iv) Use 2nd Derivaitve Test to the critical point found in iii. What is concluded by this? v) Find the equation of the plane and confirm answer in part

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