Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 Sales (1,000s of gallons) 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 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 

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