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Why is it that the answer in this question is E?

Why is it that the answer in this question is E?

MATLAB: An Introduction with Applications
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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Why is it that the answer in this question is E?

Data were collected on two variables, and y, to create a model to predict y from a. A scatterplot of the collected data revealed a curved pattern with a possible cubic relationship (y = ar³, where a is a constant) between the variables. Which of the following transformations would be most appropriate for creating linearity between the variables? (A) Taking the cube of y (B) Taking the cube root of y (C) Taking the cube root of both y and a (D) Taking the log of y (E) Taking the log of both y and a
Transcribed Image Text:Data were collected on two variables, and y, to create a model to predict y from a. A scatterplot of the collected data revealed a curved pattern with a possible cubic relationship (y = ar³, where a is a constant) between the variables. Which of the following transformations would be most appropriate for creating linearity between the variables? (A) Taking the cube of y (B) Taking the cube root of y (C) Taking the cube root of both y and a (D) Taking the log of y (E) Taking the log of both y and a
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Follow-up Question

Why taking the cube of y will unbalance the equation? Can you give me an example of the cubic relation that will unbalance when taking the cube of y? Thanks!

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Follow-up Question

But why aren't options a, b, c, and d correct? Can you please show me the step-by-step process of taking the log of x and y?

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