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1. Patient volumes for a radiology clinic are observed to have the following tim

ID: 334505 • Letter: 1

Question

1. Patient volumes for a radiology clinic are observed to have the following time-series data: Monday = 25, Tuesday = 28, Wednesday = 32, Thursday = 26, and Friday = 30. Using a 5-day moving average, and ignoring weekend volumes, what is the projection for the following Monday? If you used a 3-day moving average, using Wednesday through Friday values, how would the forecast change?

I am having a hard time understanding how the book came up with these answers. need it worked out so I understand the process. 1.a Five-day moving average forecast is 28.2. 1.b Three-day moving average forecast is 29.3.

Explanation / Answer

Ignore Saturday and Sunday.

For MA(5)

The forecast for Monday = average of last 5 days demand = (25+28+32+26+30)/5 = 28.2

For MA(3)

The forecast for Monday = average of last 3 days demand = (32+26+30)/3 = 29.33

Hope this clarifies.