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

A positive value for the coefficient of X₁ means that as X₁ increases by 1 unit, the estimated mean of Y increases by b₁ units while holding X₂ constant. Therefore, choice B is the correct answer. Choice A refers to the significance of the relationship, which is not determined by the coefficient value alone. Choice C is incorrect because the coefficient value assumes X₂ is held constant. Choice D is incorrect because the coefficient value only represents the change in the estimated mean of Y, not the actual mean when X₁ equals zero.

In a Multiple Regression Problem Involving Two Independent Variables,if B1

In a Multiple Regression Problem Involving Two Independent Variables,if B₁