Answered: Sales for the past 12 months at…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Sales for the past 12 months at Computer Success are given here.

Month

Sales ($)

Month

Sales ($)

January

February

March

April

May

June

3000

3400

3700

4100

4700

5700

July

August

September

October

November

December

6300

7200

6400

4600

4200

3900

a. Use a three-month moving average to forecast the sales for the months May through December.
b. Use a four-month moving average to forecast the sales for the months May through December.
c. Compare the performance of the two methods by using the mean absolute deviation as the performance criterion. Which method would you recommend?
d. Compare the performance of the two methods by using the mean absolute percent error as the performance criterion. Which method would you recommend?
e. Compare the performance of the two methods by using the mean squared error as the performance criterion. Which method would you recommend?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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