What does the regression constant (y intercept) of a regression line equation tell you?
Very generally – it gives you an idea of (in your case) how much weight you would have if you had no height (I’m surprised your line has a regression constant, since it’s difficult to have weight when you have no height and vice versa, but if you’ve taken sample data, the fact that it’s small shows that your data is generally along the right lines)! Since the regression constant is not determined by the value of your variable (x), it represents the amount of your total value not determined by your variable (i.e. the amount of y not determined by x).