Acceptance With Displeasure. It's possible that your boss won't take immediate action like the reaction above__but will make it clear that he or she isn't exactly happy about your resignation. Maybe, for example, she'll mutter a curt, "Thank you for letting me know," followed by two weeks of obvious displeasure or denial that you're leaving__through gruff comments ("You know, you're really leaving us in the lurch") or a refusal to interact with you more than absolutely necessary.
Prepare for It. The best way to prepare for this reaction is to simply know your stance ahead of time by determining if you would even consider a counteroffer. Yes, it may be more money or a better title, but there's more to consider__including your career goals, level of job satisfaction in your current role, and the opportunities that your new role offers.