Data file XR16058 lists the following data for a sample of automatic teller machine (ATM) customers: time (seconds) to complete their transaction, estimated age, and gender (1 = male, 0 = female).
a. Determine the multiple regression equation and interpret the partial regression coefficients.
b. What is the estimated time required by a female customer who is 45 years of age?
c. Determine the 95% prediction interval for the time required by the customer described in part (b).
d. Determine the 95% confidence interval for the mean time required by customers similar to the one described in part (b).
e. Determine the 95% confidence interval for the population partial regression coefficients, β1 and β2.
f. Interpret the significance tests in the computer printout.
g. Analyze the residuals. Does the analysis support the applicability of the multiple regression model to these data?