How to Change EA Account on The Run PS3

Hello, is there any way to change the EA account associated with my copy of Need For Speed: The Run on PS3? The account currently linked with the game is an old one I don't use anymore and I would like to switch it to my current one. However, there is no option to log out, I can only change the email or password for the old account. Do I have any options, or is the game stuck with this old one? Would deleting the save data and starting fresh allow me to change it?