A hotel has designed a new system for room service delivery of breakfast that allows the customer to select a specific delivery time. The difference between the actual and requested delivery times was recorded for 30 deliveries on a particular day along with whether the customer had previously stayed at the hotel. (A negative time means that the breakfast was delivered before the requested time.) These data are stored in Satisfication.
a. Develop a logistic regression model to predict the probability that the customer will be satisfied (0 = unfavorable, 1 = favorable), based on the delivery time difference and whether the customer had previously stayed at the hotel.
b. Explain the meaning of the regression coefficients for the model in (a).
c. Predict the probability that the customer will be satisfied if the delivery time difference is +3 minutes and he or she did not previously stay at the hotel.
d. At the 0.05 level of significance, is there evidence that a logistic regression model that uses delivery time difference and whether the customer had previously stayed at the hotel is a good-fitting model?
e. At the 0.05 level of significance, is there evidence that both independent variables (delivery time difference and whether the customer had previously stayed at the hotel) make a significant contribution to the logistic regression model?