For Exercises 1–3, test whether a linear relationship exists between and , using level of significance .
gpa
2. High School GPA and College GPA. The college admissions office wants to determine if a relationship exists between the high school grade point average and the grade point average of first-year college students , using the data in the following table.
| Student | High school GPA |
First-year college GPA |
|---|---|---|
| 1 | 2.4 | 2.6 |
| 2 | 2.5 | 1.9 |
| 3 | 2.9 | 2.7 |
| 4 | 2.7 | 2.5 |
| 5 | 3.0 | 2.4 |
| 6 | 3.5 | 2.9 |
| 7 | 3.0 | 2.7 |
| 8 | 3.6 | 3.1 |
| 9 | 3.4 | 3.0 |
| 10 | 3.9 | 3.3 |