Question

Find the parabola of the form y = ax2 + b which best fits the points (1, 0), (3, 2), (4, 4) by minimizing the sum of squares, s, given by

Answer 1

S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2 98a+14b-44=0 14a+3b-6=0 a=24/49, b=-2/7 y = (24/49)x^2-(2/7)