(c) Suppose you are allowed to choose any weights as long as they sum to 1. Could you always find a set of weights that would make the MSE at least as small for a weighted moving average than foran unweighted moving average? Why or why not?Yes, because an unweighted moving average is just a weighted moving average where the weights are equal.Yes, a weighted moving average always has a smaller MSE than an unweighted moving average.No, sometimes you need to let the weights sum to a number higher/lower than 1 in order to get a smaller MSE than the one for an unweighted moving average.No, an unweighted moving average always has a smaller MSE than a weighted moving average. 1for the most recent observation,21for the second most recent observation, and3(a) Using a weight offor third most recent observation, compute a three-week weighted moving average for thetime series. (Round your answers to two decimal places.)Time SeriesWeighted MovingAverage ForecastWeekValue119233214255206187198.17921101911141221(b) Compute the MSE for the weighted moving average in part (a).MSE =Do you prefer this weighted moving average to the unweighted moving average? The MSE for the unweighted moving average is 10.22.The weighted moving average is preferred because it has a smaller MSE compared to the unweighted moving average.The weighted moving average is preferred because it has a larger MSE compared to the unweighted moving average.The unweighted moving average is preferred because it has a smaller MSE compared to the weighted moving average.The unweighted moving average is preferred because it has a larger MSE compared to the weighted moving average.

(a).Given, The weight for the most recent observation is 12 The weight for the second most recent…

(c) Suppose you are allowed to choose any weights as long as they sum to 1. Could you 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? O Yes, because an unweighted moving average just a weighted moving average where the weights are equal. O Yes, a weighted moving average always has a smaller MSE than an unweighted moving average. O No, sometimes you need to let the weights sum to a number higher/lower than 1 in order to get a smaller MSE than the one for an unweighted moving average. O No, an unweighted moving average always has a smaller MSE than a weighted moving average.

(c) Suppose you are allowed to choose any weights as long as they sum to 1. Could you 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? O Yes, because an unweighted moving average just a weighted moving average where the weights are equal. O Yes, a weighted moving average always has a smaller MSE than an unweighted moving average. O No, sometimes you need to let the weights sum to a number higher/lower than 1 in order to get a smaller MSE than the one for an unweighted moving average. O No, an unweighted moving average always has a smaller MSE than a weighted moving average.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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