I have about 1000 measurement which relates three variables to each other: x, y, and z. In other words, I have 1000 measurement values for x, y, and z. The relationship among them is as follows:
Could someone kindly tell me how I can find the coefficients c1, c2, and c3 using MATLAB? If there were no interaction between x and y (c3=0), then c1 and c2 could be easily found by the backslash operator in MATLAB in a least square way (A\b).