Consider a set of data points: (x1, y1), (x2,y2). One seeks to find the best coefficients A and B such that the sum of squared vertical distances of the data f(x) = Ax + B is minimized. Let D = ∑[yi – f(xi]2. By requiring the derivatives of D respect to both A and B each to vanish, find expressions for the values of A and B in terms of the data points. Why are these derivatives made to vanish?
2. Relevant equations
Line of best fit is a linear equation: f(x) = Ax + B
D must be a minimum
3. The attempt at a solution
I am totally lost by this question. I do not understand how to differentiate D with respect to these parameters (maybe implicit differentiation?)