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 collecteddata revealed a curved pattern with a possible cubic relationship (y = ar³, where a is a constant) between thevariables. Which of the following transformations would be most appropriate for creating linearity between thevariables?(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

Given: Data are collected on two variables x and y to create a model that predicts y from x. A…

Answered: Why is it that the answer in this…

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

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

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Follow-up Questions

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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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