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Chapter 6: Q. 6.4 (page 437)

Suppose a student is randomly selected from your school. Which of the following pairs of random variables are most likely independent?

a. X = student’s height; Y = student’s weight

b. X = student’s IQ; Y = student’s GPA

c. X = student’s PSAT Math score; Y = student’s PSAT Verbal score

d. X = average amount of homework the student does per night; Y = student’s GPA

e. X = average amount of homework the student does per night; Y = student’s height

Short Answer

Expert verified

(e) independent variables are displayed

Step by step solution

01

Given Information

The pair of variables that are unrelated to one another.

02

Explanation for correct option

The variables that are independent must be discovered.

The term "independent variables" refers to variables that are not reliant on one another. The independent variable in this case is the pair of random variables "average quantity of homework done by student every night" and "height of the student." Because a student's height cannot be predicted based on the average quantity of homework completed per night. As a result, these two variables are unrelated.

03

Explanation for incorrect option

Option A does not describes the two variables are independent

Option B does not describes the two variables are independent

Option C does not showing the two variables are independent

Option D does not showing the two variables are independent

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