Optimization methods can be used to fit equations to data. Parameter estimation involves the computation of unknown parameters that minimize the squared error between data and the proposed mathematical model. wThe step response of an overdamped second- order dynamic process can be described using the equation where ?1 and ?2 are process time constants and K is the process gain.The following normalized data have been obtained from a unit step test (K is equal to y(?)):Use Excel with a starting point (1,0) to find values of ?1 and ?2 that minimize the sum of squares of the errors. Compare your answer with that obtained using MATLAB.

TIe-dri - 12e-drs y(1) T2 T1 3. time, 0.0583 0.2167 0.360 0.488 0.600 0.0 y/K 10 0.888 0.925 0.833 0.692 0.772 yiIK