The data below represent the call volumes over 16 quarters from a call center at a major financial institution. Develop a forecasting model for the volume of calls (in 000 units).
2010 | 2011 | 2012 | 2013 | |
Q1 | 473 | 544 | 628 | 709 |
Q2 | 513 | 582 | 707 | 725 |
Q3 | 582 | 681 | 773 | 854 |
Q4 | 474 | 557 | 592 |
661 |
Quarterly Average | Seasonal Index |
588.50 | 0.93645 |
631.75 | 1.005271 |
722.50 | 1.149677 |
571.00 | 0.908603 |
628.44 |
(a) Create a time series graph showing the: (1) actual data, (2) trend line for the data, and (3) deseasonalized actual data. Label the graph appropriately.
Correct Answer info for a to create graph
Year | Qtr | t | Actual Volume of Calls | Deseasonalized Actual Volume of Calls | |
2010 | 1 | 1 | 473 | 483.18 | |
2 | 2 | 513 | 503.68 | ||
3 | 3 | 582 | 515.76 | ||
4 | 4 | 474 | 542.25 | ||
2011 | 1 | 5 | 544 | 555.71 | |
2 | 6 | 582 | 571.43 | ||
3 | 7 | 681 | 603.49 | ||
4 | 8 | 557 | 637.20 | ||
2012 | 1 | 9 | 628 | 641.52 | |
2 | 10 | 707 | 694.16 | ||
3 | 11 | 773 | 685.02 | ||
4 | 12 | 592 | 677.23 | ||
2013 | 1 | 13 | 709 | 724.27 | |
2 | 14 | 725 | 711.83 | ||
3 | 15 | 854 | 756.80 | ||
4 | 16 | 661 | 756.17 |
(b) Develop the quarterly (Q1, Q2, Q3, Q4) indexes for the volume of calls
Correct Answer for b
Year | Qtr | t | Volume of Calls | MA4 | MA2 | Y/MA2 |
2010 | 1 | 1 | 473 | |||
2 | 2 | 513 | 510.5 | |||
3 | 3 | 582 | 528.25 | 519.375 | 1.120578 | |
4 | 4 | 474 | 545.5 | 536.875 | 0.882887 | |
2011 | 1 | 5 | 544 | 570.25 | 557.875 | 0.975129 |
2 | 6 | 582 | 591 | 580.625 | 1.002368 | |
3 | 7 | 681 | 612 | 601.5 | 1.13217 | |
4 | 8 | 557 | 643.25 | 627.625 | 0.887473 | |
2012 | 1 | 9 | 628 | 666.25 | 654.75 | 0.959145 |
2 | 10 | 707 | 675 | 670.625 | 1.05424 | |
3 | 11 | 773 | 695.25 | 685.125 | 1.128261 | |
4 | 12 | 592 | 699.75 | 697.5 | 0.848746 | |
2013 | 1 | 13 | 709 | 720 | 709.875 | 0.998767 |
2 | 14 | 725 | 737.25 | 728.625 | 0.995025 | |
3 | 15 | 854 | ||||
4 | 16 | 661 |
c) Using the trend line you developed in Part (a), what are your
seasonally unadjusted and seasonally adjusted forecasts for the
four quarters of 2014?
Correct Answer for c(c )
Year | Qtr | t | Seasonally Unadjusted Forecast | Quarterly Index | Seasonally Adjusted Forecast |
2014 | 1 | 17 | 783.200 | 97.9% | 766.69 |
2 | 18 | 801.407 | 101.9% | 816.24 | |
3 | 19 | 819.615 | 112.8% | 924.88 | |
4 | 20 | 837.822 | 87.4% | 732.38 |
The data below represent the call volumes over 16 quarters from a call center at a...
The data below represent the relative shares (by quarter) of call volumes over 16 quarters from a call center at a major financial institution Average Qtr Percent Share 2011 2012 2010 23.2% 23.0% 23.3% | 21.9% 25.1% | 24.6% | 26.2% | 25.3% 28.5% 28.8% | 28.6% | 29.8% 23.2% 23.6% 21.9% 100% 100% 2013 Q1 Q2 Q3 Q4 22.8% 25.3% 28.9% 22.9% 100% | 23.1% 100% Total 100% (a) Using the average quarter percent share column (Column G) generate...
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