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Underlying average of a time series

When the underlying average of a time series is very stable and there is no trend, cyclical, or seasonal influences:
a. A simple moving average forecast with n = 20 should outperform a simple moving average forecast with n = 3.
b. A simple moving average forecast with n = 3 should outperform a simple moving average forecast with n = 20.
c. An exponential moving forecast with w = 0.50 should outperform the simple moving average forecast with w = 0.01.

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