AP Statistics 5.1: Claims from Scatterplots
Justify a claim about two quantitative variables by citing the scatterplot’s direction, form, strength, and relevant points in context.
- Syllabus
- Effective Fall 2025
- Course
- AP Statistics
5.1.C—Justify a claim using scatterplots depicting the relationship between two quantitative variables question 1
Attendance at games for a certain baseball team is being investigated by the team owner. The following boxplots summarize the attendance, measured as average number of attendees per game, for 47 years of the team's existence. The boxplots include the 30 years of games played in the old stadium and the 17 years played in the new stadium.
Consider the following scatterplots.
Graph II shows the same information as Graph I, but also indicates the old and new stadiums. Does Graph II suggest that the rate at which attendance changes as number of games won increases is different in the new stadium compared to the old stadium? Explain your reasoning.
Model Solution
No. Graph II suggests that attendance increases at about the same rate with wins in the two stadiums. A fitted line through the old-stadium points would have roughly the same slope as, or a slightly greater slope than, a fitted line through the new-stadium points.
Scoring components for part (c)
4. Indicates approximately equal rates, or a slightly greater old-stadium rate.
5. Justifies this by comparing the slopes of lines through the two groups.
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