Twelve nursing students are set to graduate and the registration clerk at the nursing school wonders if a student's age and GPA would be good predictors of their state board score. She obtains the following data. Determine the adjusted R
2 for the multiple regression model

where x
1 is Age, x
2 is GPA, and y is the response variable "state board score".
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 |
◦ 73.3%
◦ 82.9%
◦ 67.9%
◦ 78.1%