Please SHOW your work$/$calculation processes. You will LOSE POINTS $($lose at least $\frac{2}{3}$ of the total points$)$ if you do not show your calculation processes.

Q$28.$ Consider the following annual series on the number of people assisted by the human resources department of a county. $(10$ points$)$

a$.$ Prepare three$-$year moving average values to be used as forecasts for periods $4$ through $11.$ Calculate the mean squared error $($MSE$)$ measure of forecast accuracy for periods $4$ through $11.(4$ points$)$

b$.$ Use a smoothing constant of $4$ to compute exponential smoothing values to be used as forecasts for periods $2$ through $11.$ Calculate the MSE. $(4$ points$)$

c$.$ Compare the results in Parts a and $b.$ Which is more accurate? $(2$ points$)$