Question

C. Least-squares regression D. Fourier approximation 30. You are conducting a series of experiments and you are measuring for some independent le zi, İ = { 1, . . . ,n) the response of a system's state y, i-li , m), You are plotting your data which are shown in Figure 3. You would like to fit each data set in Ca)k Ub) Figure 3: Data from a series of different experiments Fig. 3(a)-(d) into a mathematical expression using linear regression. Based on the trends you observe in Fig. 3(a)-(d) and your previous experience, you select to fit each data set by a mathematical expression as indicated within the plots. (a) (4 points) For each case in Fig. 3(a)-(d) write down the mathematical expression for the curve to fit. Then, explain shortly how you would use linear regression in order to determine explicitly this expression. Page 11

Answer 1

y= a+ 6x where a Linear at 2 ) 2(ey).se)-s(xy).sta) where a = ou