3. The followings are typical examples of parameter estimation problems (similar to Ex 8 in Handout Modeling a) Suppose that we perform an experiment to calculate the gravitational constant g as follows. A ball is dropped from a certain height and the distance from the original point is measured at certain time instances The results of the experiment are shown in the following table: Time (seconds) Distance (meters) 5.0 19.5 44.0 78.5 Formulate an algebraic optimization model and solve it using either EXCEL solver (Hint: The distance traveled by the ball s issa gt2 where 1 is the time at which s is measured The table below shows the stock prices for three companies X, Y, and Z tabulated over three days: b) Day Y 3 Z 22 Suppose an investment analyst proposes that the price of X can be predicted from the prices of Y and Z using Pr = af + bf, Formulate an algebraic optimization model and solve it using either EXCEL solver