The laboratory supervisor at a hospital is interested in developing a forecasting model for the number of tests to be performed each week. She has collected the following data from the laboratory's records: Week Tests Week Tests Week Tests 1 611 6 641 11 626 2 640 7 614 12 597 3 628 8 608 13 622 4 616 9 607 14 645 5 604 10 572 15 619 (a) (4 pts) Compute forecasts for all possible periods using SMAs with 3 and 6 weeks. (b) (4 pts) Compute forecasts for all possible periods using SES with = :3 and = :5. (c) (4 pts) Compute the MSE, MAD and MAPE for each model in part (a) and part (b). Which model would you recommend on the basis of MSE? (d) (1 pt) Use simple exponential smoothing with = :3 to nd the forecasted number of tests for week 16. Find an approximate 95% forecast interval (i.e., z = 2) based on the RMSE. What is the interpretation of this interval?