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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 18 2 21 20 4 24 18 6. 17 7 20 8 18 23 10 21 11 15 12 22

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 18 2 21 20 4 24 18 6. 17 7 20 8 18 23 10 21 11 15 12 22

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 10E
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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 18 21 20 4 24 18 6. 17 7 20 8. 18 23 10 21 11 15 12 22
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 18 21 20 4 24 18 6. 17 7 20 8. 18 23 10 21 11 15 12 22
(a) Compute four-week and five-week moving averages for the time series. 4-Week 5-Week Time Series Value Moving Average Forecast Moving Average Week Forecast 1 18 21 3 20 4 24 18 17 20 8 18 9 23 10 21 11 15 12 22 (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 11.74. 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 Time Series Value Moving Average Forecast Moving Average Week Forecast 1 18 21 3 20 4 24 18 17 20 8 18 9 23 10 21 11 15 12 22 (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 11.74. 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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