Mathematics, 15.04.2020 21:47, twiddleturd

Find the best quadratic function fβ(x) = β0 + β1x + β2x 2 in the least squares sense fitting the following data points: In other words, take the function E(β) = X 4 i=1 (fβ(xi) − yi) 2 and compute ∂E ∂βi for i = 1, 2, 3. Setting them equal to zero gives three linear equations. Solve them to find the values of β0, β1, β2.

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Find the best quadratic function fβ(x) = β0 + β1x + β2x 2 in the least squares sense fitting the fol...