3
QuizMultiple Choice

Correlation — Quiz

Question 3 • Statistical Reasoning

An entertainment reporter examines the average ticket prices of Broadway shows, comparing them to the number of total performances the shows have had. A resulting scatterplot shows a strong, positive relationship. The value of r for the scatterplot is 0 point 7 6 3 Which statement best explains the relationship between the variables?

Answer
A
Less popular shows have higher ticket prices and offer fewer performances.
B
Higher ticket prices cause more performances to be offered.
C
Lower ticket prices cause fewer performances to be offered.
D
More popular shows have higher ticket prices and offer more performances.

Explanation

A correlation of r = 0.763 indicates a strong positive association: shows with higher average ticket prices tend to have more performances. This does not show that higher prices cause more performances. The best explanation is that more popular shows may have both higher ticket prices and more performances.

AI-written and checked against the verified answer.

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