Data from a hospital patient satisfaction survey were presented in Exercise 12-9. (a) Fit a regression model
Question:
(a) Fit a regression model using only the patient age and severity regressors. Test the model from this exercise for significance of regression. What conclusions can you draw if α = 0.05? What if α = 0.01?
(b) Test the contribution of the individual regressors using the t-test. Does it seem that all regressors used in the model are really necessary?
(c) Find an estimate of the error variance Ï2. Compare this estimate of Ï2 with the estimate obtained from the model containing the third regressor, anxiety. Which estimate is smaller? Does this tell you anything about which model might be preferred?
Exercise 12-9
The data from a patient satisfaction survey in a hospital are in Table E12-1.
The regressor variables are the patients age, an illness severity index (higher values indicate greater severity), an indicator variable denoting whether the patient is a medical patient (0) or a surgical patient (1), and an anxiety index (higher values indicate greater anxiety).
Step by Step Answer:
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger