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In: Statistics and Probability

Ch 04 HW 3 Forecasting problem Method: Linear Trend optimized with Solver - pick your own...

Ch 04 HW 3 Forecasting problem Method: Linear Trend optimized with Solver - pick your own initial values for the y-axis intercept (a) and slope parameter (b) before optimizing the model The data for this problem is shown in the table below. Note: changes from the original problem data are highlighted in yellow. DO NOT USE the "brute force" method shown in Example 8 on pages 120-121. DO NOT USE the linear regression function from Excel's ToolPak or the LINEST Excel function. Set up a forecasting table and use Excel Solver to optimize it. Time (t) Actual A(t) 1 950 2 930 3 940 4 955 5 972 6 926 7 834 8 840 9 828 10 813 11 don't have yet What is the value for MAD using this method?

Solutions

Expert Solution

MAD = 26.12727

Period Demand (y) Period(x) Forecast Error Absolute Squared Abs Pct Err
Period 1 950 1 976.6909 -26.6909 26.69091 712.4046 02.81%
Period 2 930 2 959.3818 -29.3818 29.38182 863.2912 03.16%
Period 3 940 3 942.0727 -2.07273 2.072727 4.296198 00.22%
Period 4 955 4 924.7636 30.23636 30.23636 914.2377 03.17%
Period 5 972 5 907.4545 64.54545 64.54545 4166.116 06.64%
Period 6 926 6 890.1455 35.85455 35.85455 1285.548 03.87%
Period 7 834 7 872.8364 -38.8364 38.83636 1508.263 04.66%
Period 8 840 8 855.5273 -15.5273 15.52727 241.0962 01.85%
Period 9 828 9 838.2182 -10.2182 10.21818 104.4112 01.23%
Period 10 813 10 820.9091 -7.90909 7.909091 62.55372 00.97%
Total -1.1E-13 261.2727 9862.218 28.58%
Intercept 994 Average -1.1E-14 26.12727 986.2218 02.86%
Slope -17.309091 Bias MAD MSE MAPE
SE 35.11093
Correlation -0.84546
Coefficient of determination 0.714797

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