Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.Sales (1,000sof gallons)Week11722194231817720819922102011151222 (a) Compute four-week and five-week moving averages for the time series.4-WeekMovingAverageForecast5-WeekMovingAverageForecastTime SeriesValueWeek17223194235186172081922102011151222(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 9.23.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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Description: Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.Sales (1,000sof gallons)Week11722194231817720819922102011151222 (a) Compute four-week and five-week moving averag

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fons of ga Dy a gasoline nington, ver the past 12 weeks. Sales (1,000s of gallons) Week 17 2 22 19 4 23 18 17 7 20 19 22 10 20 11 15 12 22

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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
17
22
19
4
23
18
17
7
20
8
19
9
22
10
20
11
15
12
22

(a) Compute four-week and five-week moving averages for the time series.
4-Week
Moving
Average
Forecast
5-Week
Moving
Average
Forecast
Time Series
Value
Week
17
22
3
19
4
23
5
18
6
17
20
8
19
22
10
20
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 9.23.
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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