A researcher predicts a student's GPA ($Y$) from study hours per week ($X_1$) and video game hours per week ($X_2$). The regression model is $\hat{y} = 1.8 + 0.04x_1 - 0.02x_2$. If a student studies $15$ hours per week and plays video games for $10$ hours per week, what is their predicted GPA?