In a multiple regression model $$y ^ { \prime } = - 10 + 5 x _ { 1 } + 16 x _ { 2 } + 17 x _ { 3 } + 2 x _ { 4 } \text {, if the } x _ { 1 } \text { value changes by } 2$$ then the predicted value for y will change by
A) 10
B) 32
C) 0
D) 30

Question

Quizplus · Accepted Answer

The coefficient of $x_1$ is 5, so if $x_1$ changes by 2, the predicted value for $y$ changes by $5 \times 2 = 10$.

In a Multiple Regression Model y′=−10+5x1+16x2+17x3+2x4, if the x1 value changes by 2y ^ { \prime } = - 10 + 5 x _ { 1 } + 16 x _ { 2 } + 17 x _ { 3 } + 2 x _ { 4 } \text {, if the } x _ { 1 } \text { value changes by } 2y′=−10+5x1​+16x2​+17x3​+2x4​, if the x1​ value changes by 2

In a Multiple Regression Model $y ^ { \prime } = - 10 + 5 x _ { 1 } + 16 x _ { 2 } + 17 x _ { 3 } + 2 x _ { 4 } \text {, if the } x _ { 1 } \text { value changes by } 2$