ST 260 Sample Questions Test 3
Case 1 β Copier Maintenance.
A certain company sells and repairs copiers under contract, and many of their clients have multiple machines. A part of the agreement calls for the company to perform regular maintenance on the machines at each location. The company is interested in estimating (predicting) the amount of Time (at the customer's place of business) that these regular service calls will require, based on the number of machines that need to be Serviced. For any service call, a single employee is dispatched. (See output below.)
Please see some output on separate sheet in answering the following questions.
1. What is the predicted service Time required on a service call for a client that has five copiers?
(A) 74.6 (B) 77.2 (C) 71.8 (D) 78.9
2. What is the coefficient of correlation (rXY) between Service and Time?
(A) 0.916 (B) 0.934 (C) 0.957 (D) 0.978
3. One of the data points is marked on the scatterplot by an x. The (X, Y) coordinates for this point are (8, 100). What is the residual or error value associated with this data point?
(A) β19.7 (B) 14.8 (C) β16.3 (D) 18.4
4. Using the model developed here, the predicted service Time required on a service call for a client that has 18 copiers is approximately 270 minutes. Which of the following statements describes a valid concern for such an estimate?
(A) The model assumes that a single service employee is dispatched, but a job of this size would likely require more than one, making the prediction invalid.
(B) It is improper to apply this estimated regression equation to values that are so far outside the range of the sample data.
(C) This would introduce a large leverage value that might significantly impact the regression results.
(D) The error or residual value for such a large number of copiers would make the estimate unreliable.
5. What value is the measure of total variability in Time spent on service calls?
(A) 80377 (B) 3416 (C) 969 (D) 76960
6. What proportion of this total variability is explained or accounted for by the number of copiers Serviced?
(A) 0.916 (B) 0.934 (C) 0.957 (D) 0.978