I have two categorical predictors (one is binary, one has six categories) that I'd like to include in a regression. However, it seems to me that they must be correlated in some way, by looking that the following contingency table in R:
1 2 3 5 6 7 0 1 76 28 108 1 19 1 0 0 273 0 1 2
It seems that knowing I'm in category 1 in the binary predictor tells me I'm likely in category 3 in the six-category predictor i.e. one predictor seems to predict the other predictor to some extent. If I wanted to include both of these in a regression since I know they're both important, what would be a good way to proceed? Could I somehow combine them?