Question

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? lower ticket prices cause fewer performances to be offered. higher ticket prices cause more performances to be offered. less popular shows have higher ticket prices and offer fewer performances. more popular shows have higher ticket prices and offer more performances.

Explanation:

A positive correlation (r = 0.763) means that as one variable increases, the other variable also tends to increase. In this context, more popular shows (which likely have more performances) would have higher demand, allowing for higher ticket prices. Correlation does not imply causation (so options with "cause" are incorrect as we can't say ticket prices directly cause performance numbers). The positive correlation aligns with more popular shows (more performances) having higher ticket prices.

Answer:

More popular shows have higher ticket prices and offer more performances.