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

Question

Quizplus · Accepted Answer

When b1 is computed to be +2.0, it means that the estimated average of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constant. This is because b1 represents the change in Y for a one-unit change in X1, while holding all other variables constant (in this case, X2). Therefore, option B is the correct answer. Option A is incorrect because b1 does not relate to the value of Y when X1 equals zero. Option C is incorrect because b1 does not indicate a relationship between X1 and Y independent of X2. Option D is insufficiently specific and does not accurately describe what b1 means in a multiple regression model.

In a Multiple Regression Problem Involving Two Independent Variables, If