My dependent variable is number of days in a week a certain activity occurs, so I figured I would express it as a percentage out of 7 (days) and model it using logistic regression.
I would like to know:
Is this the way to model this? I have read mixed things about ratios (here, and here) and want to confirm logistic regression makes sense here, and if not, what would be a better way to model? Linear regression doesn't seem to make sense since the dependent variable (number of days in a week) is bounded between 0 and 7.
If logistic regression is the way to go, how to evaluate goodness of fit? The standard classification metrics don't apply e.g. confusion matrix, pun intended. Intuitively, OLS R^2 would make sense in this case, as I just want to see how close the predicted - in this case continuous variable - is to the actual. I am not sure if the adjusted R^2 is necessary for this type of model.