Hello!

Firstly, I want to point out that the equation you have posted is technically incorrect for logit models, it should be:

p(outcome) = e^(B0 + B1(X1) + B2(X2) + ...) / [(e^(B0 + B1(X1) + B2(X2) + ...)) + 1]

Notice that you take e to the power of the regression equation you listed, and then divide that by the e to power of the equation and add 1. This will give you the probability of the outcome occurring.This is what you should use if you want to classify.

Technically you could also use a scoring or classification scheme, but it won't be any less complicated really (you would use mahalanobis distance, which involves matrix algebra). Maybe you could use discriminant analysis, but it is less robust to violations of multivariate normality, so logistic regression will probably perform better.

The main reason I don't think you should do what you are thinking about with you scoring system is that you won't be taking into account the fact that there is a nonlinear relationship between the probability of the outcome and the predictors, which is why the logit function works well, the impact of an increase in a predictor depends on the starting point.

You might be able to figure out how to translate your logistic regression results to a scoring system like you were thinking of, but it won't have as much precision (because you are making continuous variables into 'buckets') and honestly it would take some work to make sure you are reflecting your regression results with your chosen cutoffs. I don't think it is worth the effort, instead I would make a calculator for routine use.

See the attached example of a calculator based on logistic regression results; you could just load in the correct coefficients from your results and plug in the scores on the predictors (on the scales you used in your model), and get a quick predicted probability of the outcome. If you do so, make sure the e^[...] calculation uses all of the coefficients, I only have it using the three coefficients you gave me. If you want to give me more results, I can set it up to be ready to use.

Hope this helps!