(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 11.73. 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. ● 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.

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
icon
Related questions
Question
100%
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
2
لیا
4
in
5
6
7
8
9
10
Week
11
12
1
2
3
4
5
6
7
8
9
10
11
(a) Compute four-week and five-week moving averages for the time series.
5-Week
Moving
Average
Forecast
12
18
22
19
24
19
16
21
19
22
20
18
15
22
Time Series
Value
23
19
24
19
16
21
19
22
20
15
23
4-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.)
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 2 لیا 4 in 5 6 7 8 9 10 Week 11 12 1 2 3 4 5 6 7 8 9 10 11 (a) Compute four-week and five-week moving averages for the time series. 5-Week Moving Average Forecast 12 18 22 19 24 19 16 21 19 22 20 18 15 22 Time Series Value 23 19 24 19 16 21 19 22 20 15 23 4-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.)
(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 11.73.
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.
Ⓒ 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:(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 11.73. 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. Ⓒ 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning