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Multivariable CalculusMediumOptimization & Lagrange Multipliers

Optimization & Lagrange Multipliers · Medium problem

The line y=mx+by = mx + b is fitted to the points (0,1)(0, 1), (1,3)(1, 3), (2,4)(2, 4), (3,4)(3, 4) by least squares: mm and bb minimize E(m,b)=∑(yi−mxi−b)2E(m, b) = \sum (y_i - m x_i - b)^2. Find m+bm + b.