Budgeting and Forcasting-Business Proposal wk 1-wk7

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quantitative_forecasting_models_w1.xlsx

Moving Average

Moving Average Model
Formula for Moving Average:
Moving Average = Forecast
Month Date Actual Sales 3 Day Moving Average Actual Numerical Deviation = Actual -Forecast Absolute Deviation D|A-F| 6 Day Moving Average Absolute Deviation D|A-F|
Jan 1 46
2 54
3 53
4 46 51.00 (5.00) 5.00
5 58 51.00 7.00 7.00
6 49 52.33 (3.33) 3.33
7 54 51.00 3.00 3.00 51.00 3.00
8 53.67 52.33
SD|A-F|= 1.67 18.33 3.00
n= 4 4 1
MAD= 0.42 4.58 3.00

Weighted Moving Average

Weighted Moving Average Model
Formula for weighted moving average:
Month Date Actual Sales W1=0.1, W2=0.3, W3=0.6 D|A-F| W1=0.25, W2=0.35, W3=0.40 D|A-F| W1=4 W2=5 W3=8 D|A-F|
0
Jan 1 46
2 54
3 53
4 46 52.60 6.60 51.60 5.60 51.65 5.65
5 58 48.90 9.10 50.45 7.55 49.94 8.06
6 49 53.90 4.90 52.55 3.55 53.29 4.29
7 54 51.40 2.60 51.40 2.60 50.94 3.06
8 52.90 53.25 53.47
SD|A-F| = 23.20 19.30 21.06
n = 4.00 4.00 4.00
MAD = 5.80 4.83 5.26

Exponential Smoothing

Exponential Smoothing Model
Formulas for Exponential Smoothing Model:
With a = 0.1 With a = 0.2 With a = 0.25
Month Date Actual Sales (A) Forecast for a=0.1 Forecast for a=0.2 Forecast for a=0.25
D|A-F| D|A-F| D|A-F|
0
Jan 1 46
2 54 46.00 46.00 46.00
3 53 46.80 6.20 47.60 5.40 48.00 5.00
4 46 47.42 1.42 48.68 2.68 49.25 3.25
5 58 47.28 10.72 48.14 9.86 48.44 9.56
6 49 48.35 0.65 50.12 1.12 50.83 1.83
7 54 48.42 5.58 49.89 4.11 50.37 3.63
8 48.97 50.71 51.28
SD|A-F| = 24.58 23.16 23.27
n = 5.00 5.00 5.00
MAD = 4.92 4.63 4.65

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