7. (Multiple linear regression) Given a set of n points (x1, y₁, 21), (2, Y2, 22), ..., (En, yn, Zn), determine the best fit plane z = a +₁x + ₂y using the same method that we did in class for linear regression. Show that the coefficients can be obtained using the matrix equation (XTX)A = (XTY) where A contains the unknown coefficients ao, a₁ and a2

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