If there are three independent variables x₁, x₂, and x₃ available, then the value of R² for a multiple regression of y using x₁, x₂, and x₃will always be smaller than the value of r² for a multiple regression of y using just x₁.

Question

Quizplus · Accepted Answer

We cannot determine whether the value of R² will be smaller or larger without additional information about the relationships between the independent variables and the dependent variable.

If There Are Three Independent Variables X1, X2, and X3

If There Are Three Independent Variables X₁, X₂, and X₃