Suppose that we are trying to predict the medical condition of a patient in the emergency room on the basis of her symptoms. In this simplified example, there are three possible diagnoses: stroke, drug overdose, and epileptic seizure. Islinear regression appropriate for modelling this case? What problem will we have if we consider encoding these responses as the response variables below in the linear regression model?

if stroke; Y= 2 if drug overdose; 3 if epileptic seizure