9
QuizMultiple Choice

The Relationship between Two Quantitative Variables — Quiz

Question 9 • Statistical Reasoning

Auto technicians working at a shop in a rural residential area noticed that the depth of tire treads was smaller among cars that have more miles on the odometer. What are the explanatory variable and response variable for this relationship?

Answer
A
Explanatory variable: type of residential area Response variable: miles on the car odometer
B
Explanatory variable: miles on the car odometer Response variable: depth of tire tread
C
Explanatory variable: depth of tire tread Response variable: miles on the car odometer
D
Explanatory variable: type of residential area Response variable: depth of tire tread

Explanation

The explanatory variable is the factor used to explain or predict a change in another variable. Here, miles on the odometer are used to explain why tire tread depth differs: cars with more miles tend to have less tread. Therefore, the explanatory variable is miles on the car odometer, and the response variable is depth of tire tread (choice B).

AI-written and checked against the verified answer.

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