I am working on a research project for a basic stats course. I'm in the planning phase and could use some pointers to make sure I'm going in the right direction.

**Question: How do I do a linear regression while assuring that the dependent variable is unique for each set of distinct input?**

I am trying to fit a model for Y= rank of a song today, among the singer's discography.

I know I have independent variables such as

A=number of downloads (accumulative)

B= number of 5 star ratings

C = number of 4 star ratings

...

and I plan out to start my model with the Y~(b0)A+(b1)B+(b2)C+e

but I assume the eventual outcome would be Y(songA) = 3, Y(songB) = 4, Y(songC) =1,...

where songX will contain the array of information that I need for the independent variable.

But wouldn't the rank also have dependency with each other? For example, the fact that songC had rank 1 was because it comparative did better than songA.

Sorry if I sound confusing. I am really confused and am a little lost at the planning stage.

Thanks.