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 0.763. Which statement best explains the relationship between the variables?
Answer
A
Lower ticket prices cause fewer performances to be offered.
B
Higher ticket prices cause more performances to be offered.
C
Less popular shows have higher ticket prices and offer fewer performances.
D
More popular shows have higher ticket prices and offer more performances.
Explanation
The correlation r = 0.763 is positive, so shows with higher average ticket prices tend to have more performances. A reasonable explanation is that more popular shows can charge higher prices and continue running for more performances. The scatterplot shows an association, not proof that higher prices cause more performances, so choice B overstates what the data establish.
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