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:
Compliance Techniques
Strategies used to persuade or influence individuals to agree to requests or commands.
Authority
The power or right to give orders, make decisions, and enforce obedience, often within a specific context or organization.
Social Contagion
The spread of behaviors, emotions, and attitudes through a group or society via social influence.
Mimicry
The action of imitating or replicating behaviors, gestures, or sounds, often to facilitate social bonding or learning.
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