What is the best way to statistically determine the best moving average period ( 10 or 50 day…) that best captures the trend of revenues?

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They are different slices of the same dataset. Best is subjective to the goal of the review. If you are just asking for how to build a moving average you can ask gpt

Depends. If the set has seen change that is of interest, maybe take that period of change and go 3-5 periods wider and see if that’s closer to 50 or 200

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