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

question 12

True/False

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 x₃ will always be smaller than the value of r² for a multiple regression of y using just x₁.

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Definitions:

Upper Limb

The region of the human body comprising the arm, forearm, wrist, and hand.

Tarsals

A group of seven bones in the foot that form the ankle and arch, crucial for movement and bearing the body's weight.

Tibia

The larger, stronger, and anterior of the two bones in the lower leg, commonly referred to as the shin bone.

Talus

A bone in the ankle joint that sits between the heel bone and the two bones of the lower leg (tibia and fibula).