(a) Compute four-week and five-week moving averages for the time series. 4-Week 5-Week Moving Average Forecast Moving Average Time Series Week Value Forecast 1 17 22 3 20 4 24 5 18 6. 17 7. 21 8 19 9 23 10 21 11 15 12 23 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) (c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 12.58. O Three weeks appears to be best, because the three-week moving average provides the smallest MSE. O Three weeks appears to be best, because the three-week moving average provides the largest MSE. O Four weeks appears to be best, because the four-week moving average provides the smallest MSE. O Five weeks appears to be best, because the five-week moving average provides the smallest MSE.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.
Sales (1,000s
of gallons)
Week
1.
17
22
20
4
24
18
6.
17
7
21
8
19
23
10
21
11
15
12
23
(a) Compute four-week and five-week moving averages for the time series.
4-Week
5-Week
Time Series
Moving
Moving
Average
Forecast
Week
Value
Average
Forecast
1
17
22
20
4
24
5
18
6.
17
2.
Transcribed Image Text:Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Sales (1,000s of gallons) Week 1. 17 22 20 4 24 18 6. 17 7 21 8 19 23 10 21 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series. 4-Week 5-Week Time Series Moving Moving Average Forecast Week Value Average Forecast 1 17 22 20 4 24 5 18 6. 17 2.
(a) Compute four-week and five-week moving averages for the time series.
4-Week
5-Week
Moving
Average
Forecast
Time Series
Moving
Average
Forecast
Week
Value
1.
17
2
22
20
4
24
5
18
17
7
21
8.
19
23
10
21
11
15
12
23
(b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.)
Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.)
(c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 12.58.
O Three weeks appears to be best, because the three-week moving average provides the smallest MSE.
O Three weeks appears to be best, because the three-week moving average provides the largest MSE.
O Four weeks appears to be best, because the four-week moving average provides the smallest MSE.
O Five weeks appears to be best, because the five-week moving average provides the smallest MSE.
O None appear better than the others because they all provide the same MSE
Transcribed Image Text:(a) Compute four-week and five-week moving averages for the time series. 4-Week 5-Week Moving Average Forecast Time Series Moving Average Forecast Week Value 1. 17 2 22 20 4 24 5 18 17 7 21 8. 19 23 10 21 11 15 12 23 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) (c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 12.58. O Three weeks appears to be best, because the three-week moving average provides the smallest MSE. O Three weeks appears to be best, because the three-week moving average provides the largest MSE. O Four weeks appears to be best, because the four-week moving average provides the smallest MSE. O Five weeks appears to be best, because the five-week moving average provides the smallest MSE. O None appear better than the others because they all provide the same MSE
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