Hey all. I'd like some input on a regression analysis. I have data that measures the reactions of individuals to a number of objects and to a number of questions. It looks something like this (Q=question):

I have responses like this for many subjects so it actually looks like this:

I want to run a multivariate regression using Q1 as a dependent variable and the other questions as IVs in order to rank the predictive quality of those independent variables. How do I do this without incorporating the "object"? The response values are related to and vary by those specific objects, but I can't include them in the regression as they are nominal values.

Any help would be appreciated. Just FYI, I'm using R for analysis.