Consider the following time series data: (a) Choose the correct time series plot. (i) 3h. 25 What type of patfern exists in the data? (b) Develop a three.month moving average for this tume series. Compute MSE and a forecast for manth a. if requited, round your answess to two decimal places. Do not round intermediate calculation. MSt: The forecast for month st. (c) Use a=0.2 to compute the exponential smoething yalues for the time series. Compute MSE and a forecast for enonth i If tequired, round your answers to two decimai places, Do not round intermediate caiculation. MSE: The forecist for month 6 ) (e) Use trial and error to find a value of the exponential smooching coefficient a that results in the smallest MSE: Do not round intermediate calcolations: Use a two-decimal digit precision for the exponential imocthing coefficieri