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Refer to the gasoline sales time series data in the given table.
a. Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places.
b. Compute the MSE for the four-week and five-week moving average forecasts. Round your intermediate calculations and final answers to two decimal places.
MSE for four-week moving average =
MSE for five-week moving average =
c. What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Recall that MSE for the three-week moving average is 11.94.
(A) Four week moving average
Five week moving average:
(B) MSE for four week average is 13.12 while MSE for five week average is 10.63 is is calculated below
Four week average
Five week average
As MSE for 5 week average is least as 10.63 hence preferred.