Identify your target ( length of stay).
Identify the variables (include severity as variable) that could serve as predictors of length of stay , including an explanation of why you selected the variables you did.
Build the appropriate regression model based on your target. Explain your choice of regression.
Examine your regression results and assess the fit of your model.
Explain how your regression model could be used to predict your target.
Identify additional questions you would ask of stakeholders as a result of examining your regression results.