There Are Four Independent Variables $x _ { 1 } , x _ { 2 } , x _ { 3 }$

question 86

Multiple Choice

There are four independent variables, $x _ { 1 } , x _ { 2 } , x _ { 3 }$ , and $x _ { 4 }$ , that might be useful in predicting a response $y$ . A total of $n = 40$ observations is available, and it is decided to employ stepwise regression to help in selecting the independent variables that appear to useful. The computer fits all possible one-variable models of the form $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { i } , i = 1,2,3,4$ . The information in the table is provided from the computer printout.



Which independent variable is declared the best one-variable predictor of $y$ ?

• A) \(x _ { 1 }\)
• B) \(x _ { 2 }\)
• C) \(x _ { 3 }\)
• D) \(x _ { 4 }\)

---

Definitions:

Conditioned Response

A learned response to a previously neutral stimulus that has become associated with an unconditioned stimulus through classical conditioning.

Reinforcement

In behavioral psychology, a procedure or consequence that strengthens behavior or increases the likelihood of its recurrence.

Punishment

A consequence applied with the intention of reducing the occurrence of a certain behavior.

Behavior Occurring

the manifestation or action of a specific behavior in a particular context or environment.