Question

In: Statistics and Probability

Quarter Enrollments in Business Statistics course at a major university are given in the EXCEL worksheetEnrollment:...

Quarter Enrollments in Business Statistics course at a major university are given in the EXCEL worksheetEnrollment:

  1. Develop an additive model for trend and seasonality. Please clearly define your variables.

b. Use the additive model to forecast for the enrollments for Fall 2013, Winter 2014, and Spring 2014.

Quarter Enrollment
2009 Fall 705
2010 Winter 734
Spring 661
Fall 760
2011 Winter 780
Spring 700
Fall 863
2012 Winter 860
Spring 750
Fall 880
2013 Winter 900
Spring 780

Please show step by step instructions using excel:

Solutions

Expert Solution

Answer:

2014 Fall 898.685
Winter 902.046
Spring 791.769
Year Season Enrollment Sum of 3s Sum of 2 3s Trend Ts-T SV Forecast
2009 Fall 705
2010 Winter 734
Spring 661 2155 4356 726.000 -65.000
Fall 760 2201 4441 740.167 19.833
2011 Winter 780 2240 4583 763.833 16.167
Spring 700 2343 4766 794.333 -94.333 Trend
Fall 863 2423 4896 816.000 47.000 Last 31.66667
2012 Winter 860 2473 4963 827.167 32.833 First 0
Spring 750 2490 5020 836.667 -86.667 Change 31.66667
Fall 880 2530 5090 848.333 31.667 Average Change 3.958333
2013 Winter 900 2560 852.292 47.708
Spring 780 856.250
2014 Fall 860.208 38.477 898.685
Winter 864.167 37.880 902.046
Spring 868.125 -76.356 791.769
Variation Fall Winter Spring
19.833 16.167 -65.000
47.000 32.833 -94.333
31.667 47.708 -86.667 Sum Average
Average Variation 32.833 32.236 -82.000 -16.931 -5.644
Adjusted Variation 38.477 37.880 -76.356 0.000

orchestra answered 2 years ago
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