MSE$-$ The forecast for month E : $($c$)$Use a $-0\mathrm{.}2$to compute the exponential smoothing values for the time series. Compute MS$[$and a forecast for monch $8.$If required, round your answers to two decimal places. Do not round intermediate calculation. MSE The forecast for month a: $(($d$)$Compare the three$-$month moving average forecast with the exponential smoothing forecast using a$-0\mathrm{.}2.$Which appears to provide the better forecast based on MSE? $($e$)$Use trial and error to lind a value of the exponential smoothing coeflicient a that results in the smallest MSE. Do not round intermediate calculations. Use a two$-$decimal digit precision for the exponential smoothing coellicient. a$-$