I have a response and a predictor variable, weight and height, to which I've fitted a linear regression. The relationship appears to be approximately linear and passes roughly through the origin. However, the variance increases as x increases.

Is there anything I can do with this? I've got a vague memory about ratio estimation being valid only if the line passes through the origin and the variance increases...

Maybe my line is valid if I fit a line with no constant?

Any help gratefully appreciated.