Suppose ese data show the 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. 17 21 19 24 19 16 20 19 22 20 17 15 21 Time Series Value 23 19 24 19 16 20 19 22 20 15 23 ber of galions of gasoline sold by a gasoline distr 4-Week Moving Average Forecast 5-Week Moving Average Forecast on, vermont, over the past (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 12.31. 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.
Suppose ese data show the 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. 17 21 19 24 19 16 20 19 22 20 17 15 21 Time Series Value 23 19 24 19 16 20 19 22 20 15 23 ber of galions of gasoline sold by a gasoline distr 4-Week Moving Average Forecast 5-Week Moving Average Forecast on, vermont, over the past (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 12.31. 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
17
21
19
24
19
16
20
19
22
20
17
15
21
Time Series
Value
23
19
24
19
16
20
19
22
20
15
23
4-Week
Moving
Average
Forecast
5-Week
Moving
Average
Forecast
(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 12.31.
Three weeks appears to be best, because the three-week moving average provides the smallest MSE.
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.
Five weeks appears to be best, because the five-week moving average provides the smallest MSE.
None appear better than the others, because they all provide the same MSE.
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