A researcher wants to know if students’ high school GPA is related to their first-year college GPA. Use the following table to answer the questions below. As you work the problem, round each step to two decimal places.
Student High School GPA First-Year College GPA
Jan 3.5 3.3
Mel 2.5 2.2
Nick 4.0 3.5
Lynn 3.8 2.7
Sam 2.8 3.5
Lyle 1.9 2.0
Questions:
- What is the Pearson correlation coefficient?
- How strong is the relationship?
- How much variance in the relationship between the two variables is accounted for?