Final answer:
Roger is following an analytical behavioral style.
Step-by-step explanation:
Roger's behavior of being quiet and using intermittent eye contact suggests that he is following an analytical behavioral style. This style is typically characterized by reserved and introspective behavior, with a focus on logic, data, and attention to detail. Analytical individuals often prefer to work alone, think critically, and make well-informed decisions based on careful analysis.
On the other hand, an assertive behavioral style involves direct and confident communication, expressing opinions clearly, and taking charge. An expressive behavioral style is more outgoing and social, with an emphasis on emotions and building relationships. Lastly, an amiable behavioral style is warm and friendly, prioritizing harmony and avoiding conflict.