A regression model relating the yearly income (Y), age (X1), and the gender of the faculty member of a university (X2 = 1 if female and 0 if male) resulted in the following information. 
a.Is gender a significant variable?
b.Determine the multiple coefficient of determination.
Definitions:
Implied Agency
A type of agency relationship created by the actions of the parties involved, not by written agreement, where an agent is presumed to have authority to act on behalf of another.
Nonprogrammed Decision
A new, complex decision that requires a creative solution.
Programmed Decision
A simple, routine matter for which a manager has an established decision rule.
Nonprogrammed Decisions
Decisions made in response to unique, novel, or ill-structured situations that require creativity and judgment, as opposed to routine or standard procedures.
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