In a multiple regression problem involving two independent variables, if b1 is computed to be+2.0, it means that
A)the relationship between X1 and Y is significant.
B)the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constant.
C)the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.
D)the estimated mean of Y is 2 when X1 equals zero.

Question

Quizplus · Accepted Answer

The coefficient b1 represents the change in the dependent variable Y for a one-unit change in the independent variable X1, assuming the other variable (X2) is held constant. This does not necessarily imply significance (A), disregard for X2 (C), or a specific value of Y when X1 is zero (D).

In a Multiple Regression Problem Involving Two Independent Variables, If