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 $y ^ { \prime } = - 18.7 + 46.3 x _ { 1 } + 7.28 x _ { 2 }$. If a student has a grade point average of $5.9$ and is 20 years old, what is the predicted value of $y ^ { \prime }$ ?
A) 400.1
B) 387.2
C) 421.6
D) 615.5

Question

Quizplus · Accepted Answer

To calculate the predicted value $y ^ { \prime }$, substitute the given values into the regression equation: $y ^ { \prime } = - 18.7 + 46.3(5.9) + 7.28(20)$. This simplifies to $y ^ { \prime } = - 18.7 + 273.17 + 145.6 = 400.07$, which rounds to 400.1.

A Multiple Regression Line Was Calculated in Which x1x _ { 1 }x1​

A Multiple Regression Line Was Calculated in Which $x _ { 1 }$