Find a part of the case that you are knowledgable about, and try to convey to the lawyers that you have above average knowledge of the subject that may sway your decision.
For example, I was asked a question when I was called a year ago, the case involved an auto accident. I know alot about auto insurance due to family members in the business. The way I answered the question they pointed at me obviosuly triggered that I knew what I was talking about, so they asked to talk to me in private. I explanied to them my connection to the business and my kowledge, and they said have a nice day!