Note; Mean Absolute Deviation (MAD)Mean Absolute Percentage Error (MAPE)MAPE = MAD ÷ Actual valuesNow, it would be east for you to answerPlease answer within the proper format with all supporting calculation seperately Which of the following statements is TRUE regarding the relationship between the MAD and MAPE values in a dataset?Multiple ChoiceThe MAPE will never increase if the MAD increases.The MAPE will always increase if the MAD increases.There is no firm relationship between the direction f increases or decreases in MAD versus MAPE valuesThe MAPE will always decrease if the MAD decreases.The MAPE will never decrease if the MAD decreases.

Given: Mean Absolute Deviation (MAD): MAD=∑i=1NAi-FiN Mean Absolute Percentage Error (MAPE)…

Answered: Note; Mean Absolute Deviation (MAD)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Note;

Mean Absolute Deviation (MAD)

Mean Absolute Percentage Error (MAPE)

MAPE = MAD ÷ Actual values

Now, it would be east for you to answer

Please answer within the proper format with all supporting calculation seperately

Which of the following statements is TRUE regarding the relationship between the MAD and MAPE values in a dataset?
Multiple Choice
The MAPE will never increase if the MAD increases.
The MAPE will always increase if the MAD increases.
There is no firm relationship between the direction f increases or decreases in MAD versus MAPE values
The MAPE will always decrease if the MAD decreases.
The MAPE will never decrease if the MAD decreases.

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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