Question

The multiple regression equation

y=10−x1−4x² is obtained from a set of sample data. Complete parts​ (a) through​ (e).


​(a) Interpret the slope coefficient for x1.

Choose the correct answer below.

A. The slope coefficient of x1 is −1.
This indicates that y will decrease 1 unit​, for every one unit increase in x1 ,x2 remains constant.

B.The slope coefficient of x1 is 10.
This indicates that y will increase10 units, for every one unit increase in x1​, x2
remains constant.

C. The slope coefficient of x1 is −1. This indicates that y will increase 1 unit​, for every one unit increase in
x1​, x2 remains constant.

Answer 1

The slope coefficient for x1 in the multiple regression equation y = 10 - x1 - 4x² is -1. This means that for every one unit increase in x1, the dependent variable y will decrease by 1, while keeping the other independent variable x2 constant.

Step-by-step explanation:

The slope coefficient for x1 in the multiple regression equation y = 10 - x1 - 4x² is -1. This means that for every one unit increase in x1, the dependent variable y will decrease by 1, while keeping the other independent variable x2 constant.