The original model with dependent variable of ratio is Y= (Y1/ Y2). Both Y1 and Y2 are dollar amount represent sales and balance respectively. The dependent variable Y is a continuous variable between 0 and 1.

The equation is Y=(Y1/Y2)=a+B1X1+B2X2. Basically this is a simple linear regression model.

My question is after I get the predicted Y by using the simple regression model, can I use the following equation to get the predicted Y1, the sales.

Y1=Y*Y2, where Y2 is the future estimated balance.

If this is correct, however, I see the predicted Y1 will eventually goes to 0, since Y2, the balance goes to 0 eventually. But Y1, the sales, can never goes to 0 in practical world. I am not sure where it goes wrong.

Thank you for your help.