Q 61

If there are three independent variables x_{1}, x_{2}, and x_{3} available, then the value of R^{2} for a multiple regression of y using x_{1}, x_{2}, and x_{3 }will always be smaller than the value of r^{2} for a multiple regression of y using just x_{1}.

Q 62

A multiple regression line was calculated in which x_{1} was a student's grade point average and x_{2} was a student's age. The multiple regression line was calculated as . If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of ?
A) 387.2
B) 400.1
C) 421.6
D) 615.5

Q 63

In a multiple regression model y' = -11 + 4x_{1} + 11x_{2} + 7x_{3} + 3x_{4}, if the value of x_{2} increases by 2 and the value of x_{3} decreases by 5, then the predicted value for y will
A) decrease by 57.
B) increase by 57.
C) decrease by 13.
D) increase by 13.