1 ay ting a weight or 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) Time Series Weighted Moving Week Value Average Forecast 1 17 2 21 3 4 4 23 5 18 6 16 2 20 2 8 8 15 9 22 10 20 11 15 12 22 (D) Comote the MSE for the weighted moving average in part() (Round your answer to two decimal places) E- Do you prefer this weighted moving average to the righted moving average? The MSE for the weighted moving average is 10.22 The weighted moving average is preferred because it has a larger MSE compared to the weighted moving average The weghted moving average preferred because it has a larger MSE compared to the weighted moving average. O The weighted moving average is preferred because it has a smaller MSE compared to the weighted moving average The unweighted moving average is preferred because has a smaller MSE compared to the weighted moving average (Suppose you are allowed to choose any weights as long as they som to 1. Could you always find a set of weights that would make the MSE smaller for a weighted moving average than for an unweighted moving average Why or why not? Yes, a weighted moving average always has a smaller MSE than an unweighted moving average. No, an unweighted moving average always has a smaller HSE than a weighted moving average No, but you will always be able to make the MSE at least as good as the one for an unweighted average No, sometimes you need to let the weights som to a number higher lower than 1 in order to get a smaller MSE than the one for an unweighted moving average