In a multiple regression model $y ^ { \prime } = - 11 + 2 x _ { 1 } + 9 x _ { 2 } + 5 x _ { 3 } + 4 x _ { 4 }$, if the value of $x _ { 2 }$ increases by 6 and the value of $x _ { 3 }$ decreases by 3 , then the predicted value for $y$ will
A) increase by 39.
B) decrease by 69.
C) decrease by 39.
D) increase by 69.

Question

Quizplus · Accepted Answer

The predicted value for $y$ increases by $9 \times 6 - 5 \times 3 = 54 - 15 = 39$.

In a Multiple Regression Model y′=−11+2x1+9x2+5x3+4x4y ^ { \prime } = - 11 + 2 x _ { 1 } + 9 x _ { 2 } + 5 x _ { 3 } + 4 x _ { 4 }y′=−11+2x1​+9x2​+5x3​+4x4​

In a Multiple Regression Model $y ^ { \prime } = - 11 + 2 x _ { 1 } + 9 x _ { 2 } + 5 x _ { 3 } + 4 x _ { 4 }$