In: Statistics and Probability
Refer to the gasoline sales time series data in the given table.
Week | Sales (1,000s of gallons) |
1 | 17 |
2 | 21 |
3 | 16 |
4 | 24 |
5 | 17 |
6 | 18 |
7 | 22 |
8 | 20 |
9 | 21 |
10 | 19 |
11 | 16 |
12 | 25 |
(a) | Compute four-week and five-week moving averages for the time series. | ||||||||||||||||||||||||||||||||||||||||||||||||||||
If required, round your answers to two decimal places. | |||||||||||||||||||||||||||||||||||||||||||||||||||||
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(b) | Compute the MSE for the four-week and five-week moving average forecasts. | ||||||||||||||||||||||||||||||||||||||||||||||||||||
If required, round your final answers to three 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? Consider that the MSE for the three-week moving average is 12.852. | ||||||||||||||||||||||||||||||||||||||||||||||||||||
- Select your answer -ThreeFourFive |
MSE for four-week moving average =10 | |
MSE for five-week moving average =7.91 |
c) Five Because it has less MSE compare to other