If you want a realistic answer, there's no way to tell from your height alone, because it's your leg length that matters, not your overall height. Not everyone has the same proportions. Of course, the horizontal cockpit length of the bike matters too, and there's even more variation with that than with leg length. Riding a road bike is a more position-sensitive activity than it is with other kinds of bikes. Only buy from a bike shop that can advise you properly in person.