I'm very new to regression and have a ton of data I want to analyse that I think would benefit from regression but I'm not sure how to apply it.

I have 1,000 sets of rankings all 1 to 100. Each ranking has 150 variables explaining it. I want to create a model that models what is happening in all the sets of rankings.

I presume you can do a regression taking the rankings as values and the 150 variables for each ranking as explanatory variables? If so, how do I create a model that represents what is happening across all the sets?

I have completed a correlation study, by getting the correlation coefficient of each variable for each set and getting the average across the 1,000 sets.

Is there a way using regression to create an accurate model that models the rankings seen in the 1,000 sets?

Thanks in advance for your help