Final answer:
The exchange in paragraph 15 reveals Basil's complexity, modesty, and potential insecurity through his reluctance to exhibit his art, showcasing a deeper personal connection to his work.
Step-by-step explanation:
Paragraph 15 offers insight into Basil’s character through his reaction to the praise he receives for his artwork. Rather than being flattered or eager to showcase his talent, he expresses a reluctance to display his painting. This hesitation suggests a complex, perhaps introverted personality, with a sense of modesty or insecurity about his work. Basil's character is unveiled as one with an odd way of tossing his head back, indicating a unique mannerism or possibly an air of dismissiveness. His decision to keep his artwork away from public exhibition further hints at a deeper, more personal connection to his creation that transcends the desire for external validation or recognition.