The Relationship between Two Quantitative Variables — Quiz
Question 3 • Statistical Reasoning
At a dome-style football stadium, sports analysts noticed that as the distance of a field-goal attempt increased, the success rate of a field-goal attempt decreased. What are the explanatory variable and response variable for this relationship?
Answer
A
Explanatory variable: success rate of field-goal attempt Response variable: distance of field-goal attempt
B
Explanatory variable: style of stadium Response variable: distance of field-goal attempt
C
Explanatory variable: distance of field-goal attempt Response variable: success rate of field-goal attempt
D
Explanatory variable: style of stadium Response variable: success rate of field-goal attempt
Explanation
The explanatory variable is the factor used to explain or predict changes in another variable. Here, the distance of a field-goal attempt is used to explain changes in its success rate, so distance is explanatory and success rate is the response. Therefore, choice C is correct.
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