Consider the first-order multiple regression model with two quantitative predictors, E(y)=β0+β1×1+β2×2.

  1. Clearly express the lease square function, SSE, in terms of β0,β1 and β2, to be minimized.
  2. Find the partial derivatives of SSE with respect to β0,β1 and β2.
  3. Set the partial derivatives equal to zero and simplify. Clearly write down the linear equation system with three unknowns β0,β1 and β2 


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