Suppose that when the time index t = 5, there is an actual demand of Y5 = 52, a forecast of F5 = 62, and a smoothing constant a = 0.30. What would the forecast for the next period, Fg. be using simple exponential smoothing? 59.9 59.0 65.5 57.1 61.0

Suppose that when the time index t = 5, there is an actual demand of Y5 = 52, a forecast of F5 = 62, and a smoothing constant a = 0.30. What would the forecast for the next period, Fg. be using simple exponential smoothing? 59.9 59.0 65.5 57.1 61.0

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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.3: Applications: Growth And Decay

Problem 2E

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Question

Suppose that when the time index t = 5, there is an actual demand of Y5 = 52, a forecast of F5 = 62, and a smoothing constant a = 0.30. What would the
forecast for the next period, Fg. be using simple exponential smoothing?
59.9
59.0
65.5
57.1
61.0

An additive "locally linear trend model" for a time series, Y, can be written in equation form as
OY=1xbxe
OY₁ =1,+ e,
OY₁ =1,+ b₁
+b
OY₁ =1, + b₁ +€₁

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