College administrators at a small, private college noticed that students who had higher high school GPAs tend to have higher college GPAs. What are the explanatory variable and response variable for this relationship?
Answer
A
Explanatory variable: college GPA Response variable: high school GPA
B
Explanatory variable: type of college (private vs. public) Response variable: college GPA
C
Explanatory variable: size of college Response variable: college GPA
D
Explanatory variable: high school GPA Response variable: college GPA
Explanation
The explanatory variable is the factor used to explain or predict a change in another variable. Here, high school GPA is related to college GPA, so high school GPA is the explanatory variable and college GPA is the response variable. Choice A gives these roles correctly.
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