Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week 1 2 3 لیا 4 5 6 7 8 9 10 Week 11 12 1 2 3 4 5 6 7 8 9 10 11 12 (a) Compute four-week and five-week moving averages for the time series. 5-Week Moving Average Forecast Sales (1,000s of gallons) 17 21 19 24 18 16 21 18 23 21 17 15 21 Time Series Value 22 19 24 18 16 21 18 23 21 15 22 4-Week Moving Average Forecast
Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week 1 2 3 لیا 4 5 6 7 8 9 10 Week 11 12 1 2 3 4 5 6 7 8 9 10 11 12 (a) Compute four-week and five-week moving averages for the time series. 5-Week Moving Average Forecast Sales (1,000s of gallons) 17 21 19 24 18 16 21 18 23 21 17 15 21 Time Series Value 22 19 24 18 16 21 18 23 21 15 22 4-Week Moving Average Forecast
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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.
Week
1
2
3
4
5
6
7
8
9
10
Week
11
12
1
2
3
4
5
6
7
8
9
10
11
12
Sales (1,000s
of gallons)
(a) Compute four-week and five-week moving averages for the time series.
5-Week
Moving
Average
Forecast
17
21
19
24
18
16
21
18
23
21
17
15
21
Time Series
Value
22
19
24
18
16
21
18
23
21
15
22
4-Week
Moving
Average
Forecast
J
(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 13.02.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9402dae5-21a3-4dc7-9cf5-c78b86597c29%2F7fd4546e-4de2-4468-a5f7-d512a9dd11d2%2Fwi9io4_processed.jpeg&w=3840&q=75)
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.
Week
1
2
3
4
5
6
7
8
9
10
Week
11
12
1
2
3
4
5
6
7
8
9
10
11
12
Sales (1,000s
of gallons)
(a) Compute four-week and five-week moving averages for the time series.
5-Week
Moving
Average
Forecast
17
21
19
24
18
16
21
18
23
21
17
15
21
Time Series
Value
22
19
24
18
16
21
18
23
21
15
22
4-Week
Moving
Average
Forecast
J
(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 13.02.
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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