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PA 15-4 A police station had to deploy a police officer.. A police station had t

ID: 3360437 • Letter: P

Question

PA 15-4 A police station had to deploy a police officer.. A police station had to deploy a police officer for an emergency multiple times in the last four evenings The table below shows the number of emergencies each evening (Round your answers to 3 decimal places ) Forecast for tomorrow (calls) Weekday Number of calls each day Monday Tuesday Wednesday Thursday 6 12 Complete the orecast for tomorrow column in the table above Use an exponential smoothing forecasting approach, with a 0.1 and a forecast for Monday of f9 (Round your answer to 3 decimal places) h What would be their forecast for Friday using the same exponential b. smoothing forecasting approach?

Explanation / Answer

(a)

Weekday

Number of calls each day

Forecast for tomorrow (calls) (At)

Forecasting ( = 0.1)

Ft = Yt-1 + (1 – )(Yt-1 - Ft-1)

2

Tuesday

2

0.1(6)+(1-0.1)(9)=8.7

3

Wednesday

11

0.1(2)+(1-0.1)(8.7)=8.03

4

Thursday

12

0.1(11)+(1-0.1)(8.03)=8.327

5

Friday

0.1(12)+(1-0.1)(8.327)=8.694

(b) Forecast for Friday = 8.694

Weekday

Number of calls each day

Forecast for tomorrow (calls) (At)

Forecasting ( = 0.1)

Ft = Yt-1 + (1 – )(Yt-1 - Ft-1)

1 Monday 6 9.0

2

Tuesday

2

0.1(6)+(1-0.1)(9)=8.7

3

Wednesday

11

0.1(2)+(1-0.1)(8.7)=8.03

4

Thursday

12

0.1(11)+(1-0.1)(8.03)=8.327

5

Friday

0.1(12)+(1-0.1)(8.327)=8.694