3
practice testMultiple Choice

Practice Test

Question 3 • Statistical Reasoning

Machine engineers are designing a new ice machine for use in restaurants. They notice that designs that use cubes containing higher volumes of water take longer to freeze. What are the explanatory variable and response variable for this relationship?

Answer
A
Explanatory variable: time to freeze Response variable: volume of water
B
Explanatory variable: type of restaurant Response variable: time to freeze
C
Explanatory variable: shape of ice Response variable: time to freeze
D
Explanatory variable: volume of water Response variable: time to freeze

Explanation

The explanatory variable is the factor being changed or used to explain a result: here, the volume of water in each ice cube. The response variable is the result that changes in response: the time it takes to freeze. Therefore, choice D correctly identifies volume of water as the explanatory variable and time to freeze as the response variable.

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