Gas$\_$Prices. It is difficult to predict gas prices given a multitude of

factors affecting them. The accompanying data file contains $22$ weeks of the average weekly regular gasoline price $($$ per gallon$)$ in New England and the West Coast.

a$.$ find the $3-$period and the $5-$period moving averages for gas prices in New England. Based on MSE, MAD, and MAPE, use the preferred model to forecast gas prices for the $23$rd week.

b$.$ find the simpled exponential smoothing series with possible a values of $0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}6$ for gas prices on the West Coast. Based on MSE, MAD, and MAPE, use the preferred model to forecast gas prices for the $23$rd week.