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