Twelve nursing students are set to graduate and the registration clerk at the nursing school wonders if there is a correlation between a student's age, their GPA and their state board score. She collects data about the 12 students. The data is given below. Construct a 95% prediction interval for the State Board Score a student will get if the student's age is 24.
Age
| GPA
| State
Board | | Age
| GPA
| State
Board |
| 26 | 3.0 | 620 | | 27 | 3.3 | 639 |
| 25 | 3.1 | 568 | | 25 | 3.5 | 558 |
| 30 | 2.3 | 633 | | 26 | 2.0 | 595 |
| 20 | 2.5 | 516 | | 20 | 3.2 | 511 |
| 23 | 3.9 | 585 | | 25 | 3.5 | 579 |
| 23 | 2.5 | 584 | | 23 | 4.0 | 566 |
◦ The result is not reliable because the predictor variable is not a good indicator of the State Board Score.
◦ (542.5, 608.6)
◦ (561.30, 587.30)
◦ (527.93, 620.67)
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