Problem 5pts Derive the formulas for a linear curve fit yx

Problem: (5pts) Derive the formulas for a linear curve fit y(x) = ax+ b for a set of N data points of the form (xt,yt) Where I = 1 ? N. Start from the beginning: define the error between each data point and the function (straight line in this case). find the total error, differentiate this expression, and manipulate the equations to solve for a and b. Your final answer should be to expressions, one to calculate a, and one to calculate b. Both a and b should be only expressed in terms of xt,yt, and N. You must show all steps to receive full point.

Solution