I have dependent variable, measured with a range of 0-100% (nevertheless it takes on fairly few variables). It reflects the amount of sales reported for some purpose. The distribution looks as in the picture below. My question is very simple (although the answer may be not). What are my options for model selection with a dependent variable such as this one?



As one extra comment, I would prefer(if at all possible) not to use a Tobit specification,because it almost always breaks down. Could I perhaps use a quasi poisson instead?