A customer comment phone line is staffed from 8:00 a.m. to 4:30 p.m. five days a week. Records are available that show the number of calls received every day for the last five weeks as shown in the following table. Assume the time series has seasonality without trend. Week Day Number 1 M 29 T 13 W 15 TH 14 F 22 2 M 24 T 9 W 15 TH 13 F 25 3 M 33 T 14 W 16 TH 12 F 20 4 M 26 T 12 W 15 TH 17 F 23 5 M 25 T 10 W 19 TH 16 F 24
A customer comment phone line is staffed from 8:00 a.m. to 4:30 p.m. five days a week. Records are available that show the number of calls received every day for the last five weeks as shown in the following table. Assume the time series has seasonality without trend. Week Day Number 1 M 29 T 13 W 15 TH 14 F 22 2 M 24 T 9 W 15 TH 13 F 25 3 M 33 T 14 W 16 TH 12 F 20 4 M 26 T 12 W 15 TH 17 F 23 5 M 25 T 10 W 19 TH 16 F 24
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 55E
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A customer comment phone line is staffed from 8:00 a.m. to 4:30 p.m. five days a week. Records are available that show the number of calls received every day for the last five weeks as shown in the following table. Assume the time series has seasonality without trend.
| Week | Day | Number |
|---|---|---|
| 1 | M | 29 |
| T | 13 | |
| W | 15 | |
| TH | 14 | |
| F | 22 | |
| 2 | M | 24 |
| T | 9 | |
| W | 15 | |
| TH | 13 | |
| F | 25 | |
| 3 | M | 33 |
| T | 14 | |
| W | 16 | |
| TH | 12 | |
| F | 20 | |
| 4 | M | 26 |
| T | 12 | |
| W | 15 | |
| TH | 17 | |
| F | 23 | |
| 5 | M | 25 |
| T | 10 | |
| W | 19 | |
| TH | 16 | |
| F | 24 |
(a)
Solve for the forecast equation that minimizes the sum of squared error.
x1 = 1 if Monday, 0 otherwise; x2 = 1 if Tuesday, 0 otherwise; x3 = 1 if Wednesday, 0 otherwise; x4 = 1 if Thursday, 0 otherwise.
t =
(b)
Forecast the five days of Week 6.
Week 6 Monday forecast callsWeek 6 Tuesday forecast callsWeek 6 Wednesday forecast callsWeek 6 Thursday forecast callsWeek 6 Friday forecast calls
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