Refer to the gasoline sales time series data in the given table.   Week Sales (1,000s of gallons) 1 17 2 23 3 14 4 25 5 17 6 16 7 22 8 19 9 21 10 19 11 17 12 23     (a) Compute four-week and five-week moving averages for the time series.   Do not round intermediate calculations. If required, round your answers to two decimal places.   Week Sales 4-Week Moving Average 5-Week Moving Average 1 17     2 23     3 14     4 25     5 17     6 16     7 22     8 19     9 21     10 19     11 17     12 23         (b) Compute the MSE for the four-week and five-week moving average forecasts.   Do not round intermediate calculations. If required, round your answers to two decimal places.   MSE for four-week moving average =    MSE for five-week moving average =       (c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Consider that the MSE for the three-week moving average is 11.889.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Refer to the gasoline sales time series data in the given table.

 

Week Sales (1,000s of gallons)
1 17
2 23
3 14
4 25
5 17
6 16
7 22
8 19
9 21
10 19
11 17
12 23

 

 

(a) Compute four-week and five-week moving averages for the time series.
  Do not round intermediate calculations. If required, round your answers to two decimal places.
 

Week

Sales
4-Week
Moving
Average
5-Week
Moving
Average
1 17    
2 23    
3 14    
4 25    
5 17    
6 16    
7 22    
8 19    
9 21    
10 19    
11 17    
12 23    
   
(b) Compute the MSE for the four-week and five-week moving average forecasts.
  Do not round intermediate calculations. If required, round your answers to two decimal places.
  MSE for four-week moving average = 
  MSE for five-week moving average =  
   
(c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Consider that the MSE for the three-week moving average is 11.889.
   

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman