Problem 3 (15 Points) A computer engineer is trying to program the movement of a prototyped artificail hand. To do so, the engineer studied the hand movement response (y) changing at different levels as a fucntion of distance (x) in one dimension (all units are in cm). Three different runs were conducted and the results are summarized as follows: Run 1 Run 2 Run 3 50 19 65 y 30 65 45 As mentioned, the response (y) is related to the hand's level through this equation: b where a and b are constants and L is the elevated/lowered level by the hand. Based on your knowledge in numerical analysis methods, use the data below using the best accurate techniques to estimate the constants a and b, so the response can be predicted at any level at certain distance interval. SO Run 1 Run 1 Run 1 L 15 15 15 15 22 15 25 15 19 25 31 16 27 25 22 35 44 17 29 35 24 45 18 33 45 26 50 57 19 34 65 30