Determine R^2 and Adjusted R^2
-Twelve Nursing Students Are Set $R ^ { 2 }$

Multiple Choice

Determine R^2 and Adjusted R^2
-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 $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 }$ where $x _ { 1 }$ is Age, $x _ { 2 }$ is GPA, and $y$ is the response variable "state board score".

A) $73.3 \%$
B) $78.1 \%$
C) $82.9 \%$
D) $67.9 \%$