Data were collected on two variables, x and y, to create a model to predict y from x. A scatterplot of the collected data revealed a curved pattern with a possible cubic relationship (y=ax^3, 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 x
D - Taking the log of y
E - Taking the log of both y and x

Linearity is the concept used to describe linear relationships between variables.

The appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x

The function is given as:

The function is a power function (i.e. cube of x)

To create linearity between power function, we simply take the logarithms of both variables

So, we have:

Apply law of logarithm

Hence, the appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x

Read more about linearity between variables at:

link

B - Taking the cube root of y

Step-by-step explanation:

Data provided in the question

y = ax^3

Based on the above information

Now we take the cube root of y

So, it would be calculated below:

y1/3 = a1/3 × x

So

As it can seen by the above equation there is a linear relationship between the cube root of y and x

Therefore, the correct option is B.

Hence, all the other options are wrong

3) = 3

2) = 4.75

try that for a change.