A research report published by the College Board1 about the Scholastic Aptitude Test (SAT), a college entrance exam, stated the following:

Morgan (1989) analyzed the predictive validity of the SAT and high school grades over a 10-year period from 1976 to 1985, using data from the College Boards Validity Study Service (currently ACES). He found that the correlation of SAT scores with FYGPA declined from 0.51 to 0.47 over the 10-year period.

Part A: What was the correlation between SAT scores and First-Year GPA (FYGPA) at the beginning of the study?

Part B: What was the correlation between SAT scores and First-Year GPA (FYGPA) at the end of the study?