Even if you don't think what you said or did was so bad, or believe that the other person is actually in the wrong, it's still important to apologize when you've hurt or angered someone. "To preserve or re-establish connections with other people, you have to let go of concerns about right and wrong and try instead to understand the other person's experience," says Dr. Ronald Siegel, assistant professor of psychology at Harvard Medical School. That ability is one of the cornerstones of emotional intelligence, which underlies healthy, productive relationships of all types.