A Very Insignificant Independent Variable (An Independent Variable That Has

question 39

Multiple Choice

A very insignificant independent variable (an independent variable that has a very weak relationship with the dependent variable) is added to a multiple regression equation. As a result of this change, the value of the explained variation (SSR) will ________, the value of the multiple coefficient of determination (R²) will ________, and the calculated value of the F statistic will most likely ________.

• A) decrease, increase, decrease
• B) increase, decrease, decrease
• C) increase, increase, increase
• D) increase, increase, decrease
• E) decrease, decrease, decrease

---

Definitions:

Recognized

Identified or acknowledged for one's achievements, qualities, or status.

Quality

The degree of excellence of a thing; a virtue resulting from superior form, function, beauty, utility, fit, and other valuable attributes; the character of a person or thing that makes it desirable. See excellence.

Time Factors

Elements that influence the timing and duration of processes or events, affecting planning and decision-making in various contexts.

Workable Approaches

Practical and feasible methods or strategies that can be successfully applied to achieve goals.