If There Are Three Independent Variables $x _ { 1 } , x _ { 2 }$

question 62

True/False

If there are three independent variables $x _ { 1 } , x _ { 2 }$ , and $x _ { 3 }$ available, then the value of $R ^ { 2 }$ for a multiple regression of $y$ using $x _ { 1 } , x _ { 2 }$ , and $x _ { 3 }$ will always be smaller than the value of $r ^ { 2 }$ for a multiple regression of $y$ using just $x _ { 1 }$ .

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Definitions:

Spinal Cord

The spinal cord is a long, thin, tubular structure made up of nervous tissue, which extends from the medulla oblongata in the brainstem down the vertebral column to the lumbar region.

Diencephalon

A region of the brain located beneath the cerebrum that includes structures such as the thalamus and hypothalamus, involved in sensory and neural functions.

Hypothalamus

A region of the brain below the thalamus that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems.

Tentorium Cerebelli

A fold of the dura mater that separates the cerebellum from the inferior portion of the occipital lobes.