DETAILS Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 18 22 20 24 19 17 18 20 (a) Using a weight of for the most recent observation, - for the second most recent observation, and - for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.) Week Time Series Weighted Moving Value Average Forecast 18 2 22 3 20 24 19 17 18 9 10 11 12 (b) Compute the MSE for the weighted moving average in part (@). MSE - Do you prefer this weighted moving average to the u d moving average? The MSE for the unweighted moving average is 10.22. The unweighted mov ving average. O The weighted moving aver weighted moving average. O The unweighted moving a d to the weighted moving average. The weighted moving weighted moving average. (c) Suppose you are allowed to choos O No, an uner u always find a set of weights that would make the MSE at least as small for a weighted moving average than for an unweighted moving average? Why or why not? Yes, because an u weights are equal. No, som an 1 in order to get a smaller MSE than the one for an unweighted moving average. moving average. Submit