In a multiple regression problem involving two independent variables X₁ and X₂,what does it mean if the value of b₁ is 3.2? A)The relationship between X₁ and Y is significant. B)The estimated value of Y increases by an average of 3.2 units for each unit increase of X₁,holding X₂ constant. C)The estimated value of Y increases approximately by 3.2 units for each unit increase of X₂,holding X₁ constant. D)The estimated average value of Y is 3.2 units when X₁ = 0.

Question

Quizplus · Accepted Answer

The value of b₁ being 3.2 means that for each unit increase in X₁, while holding X₂ constant, the estimated value of Y increases by an average of 3.2 units. Therefore, option B is the correct choice. Option A is incorrect as we do not know if the relationship is significant based on the coefficient value alone. Option C is incorrect as it incorrectly states the relationship between X₁ and Y. Option D is incorrect as it assumes a specific value for X₁ and does not account for other possible values.

In a Multiple Regression Problem Involving Two Independent Variables X1

In a Multiple Regression Problem Involving Two Independent Variables X₁