Final answer:
The correlation between SAT scores and first-year GPA can be used to predict the percentile rank on the first-year GPA based on the percentile rank on the SAT.
Step-by-step explanation:
The correlation between SAT scores and first-year GPA for the first-year students at a certain university is 0.60. Since the scatter diagram is football-shaped, we can use this correlation to predict the percentile rank on the first-year GPA based on the percentile rank on the SAT.
A) 90%
To predict the percentile rank on the first-year GPA for a student whose percentile rank on the SAT is 90%, we can use the correlation of 0.60. Since a higher SAT percentile rank corresponds to a higher first-year GPA percentile rank, we would expect the student's first-year GPA percentile rank to be around 90%.
B) 30%
Similarly, for a student with a percentile rank on the SAT of 30%, we would expect the first-year GPA percentile rank to be around 30%.
C) 50%
For a student with a percentile rank on the SAT of 50%, we would expect the first-year GPA percentile rank to be around 50%.
D) Unknown
Since we don't have a specific percentile rank on the SAT for option D, we cannot predict the corresponding percentile rank on the first-year GPA.