Given a variable which is categorical that depends on continuous variables, I would like to know how to check wether these continous variable explain the categorical one.
Y = cagetorical
X1 = continous
X2 = continous
X3 = continous
I'd start with a correlation but which? I've seen How to get correlation between two categorical variable and a categorical variable and continuous variable? but there it is explained wether there is a difference in categorical variables explaining a continous variable, so I think it's another topic?
I'm fine with tool advices in R and python as well.
edit: I'm not sure wether cateogrical is correct here. The values of $ Y $ are $ 0, 1, 2, 3 $ but I could also use $ A, B, C, D $. They represent a classification of the measure of cleanliness of a room.