Apologizing doesn't have to be admittance of guilt, or regret. If you've done something that hurt someone you care about, you can apologize just to let them know you care.
There's a difference between apologizing for your actions and apologizing for how those actions hurt someone else, and sometimes a simple "I'm sorry" can go a long way. This is a small price to pay to repair a friendship or relationship, so next time you're struggling with your sense of pride, drop it and give a good apology.
Apologizing Means That You Value Your Relationship | Wisdom Quotes and Stories via Dumb Little Man