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Weighted average and mean square error

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Will a k-period weighted average produce a lower mean square error (MSE) when making predictions than a weighted average derived from k minus 1 periods? If so, why or why not?

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Solution Summary

This solution is provided in 92 words in an attached .doc file. It provides the equation for mean square error, including that in relation to a Fourier series. This is explained and it is shown how k is related to the size of mean square error.

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Umut Oltulu, MBA
Education
  • BSc, Dokuz Eylul University
  • MBA, Texas A&M University-Kingsville
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