Question
1. Acomputer softwarefirmhasexperiencedthefollowing demandforitsPersonalFinance softwarepackage: Period Units 1 56 2 61 3 55 4 70 5 66 6 65 7 72 8 75 Developanexponentialsmoothingforecast,using=0.40,andanadjusted exponentialsmoothing
1. Acomputer softwarefirmhasexperiencedthefollowing demandforitsPersonalFinance softwarepackage:
Period | Units |
1 | 56 |
2 | 61 |
3 | 55 |
4 | 70 |
5 | 66 |
6 | 65 |
7 | 72 |
8 | 75 |
Developanexponentialsmoothingforecast,using=0.40,andanadjusted exponentialsmoothing forecast,using=0.40and=0.20.Compare theaccuracyofthetwo(2)forecastsusingMAD andcumulativeerror.
2. A local building products store has accumulated sales data for two-by-four lumber (in board feet)andthenumberofbuildingpermits initsareaforthepast10quarters:
Quarter | BuildingPermits, | Lumber Sales(1,000sofbd. ft.), |
1 | 8 | 12.6 |
2 | 12 | 16.3 |
3 | 7 | 9.3 |
4 | 9 | 11.5 |
5 | 15 | 18.1 |
6 | 6 | 7.6 |
7 | 5 | 6.2 |
8 | 8 | 14.2 |
9 | 10 | 15.0 |
10 | 12 | 17.8 |
Develop a linear regression model for these data and determine the strength of the linearrelationship by using correlation. If the model appears to be relatively strong, determine theforecastfor lumber,given10building permitsinthenextquarter.
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