Month t 1 α = 2 3 4 5 6 7 8 9 10 11 0.2 to compute the exponential smoothing values for the time series. (Round your answers to four decimal places.) 12 Time Series Value Yt 105 135 120 105 90 120 145 140 100 80 100 110 Forecast Ft 00000000000 (c) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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The following time series shows the sales of a particular product over the past 12 months.
Month
1
2
3
4
5
6
7
8
9
10
11
12
Sales
105
135
120
105
90
120
145
140
100
80
100
110
Transcribed Image Text:The following time series shows the sales of a particular product over the past 12 months. Month 1 2 3 4 5 6 7 8 9 10 11 12 Sales 105 135 120 105 90 120 145 140 100 80 100 110
(b) Use α = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to four decimal places.)
Month t
1
α =
2
3
4
5
6
7
8
9
10
11
12
Time Series Value
Yt
105
135
120
105
90
120
145
140
100
80
100
110
Forecast Ft
(c) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.
Transcribed Image Text:(b) Use α = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to four decimal places.) Month t 1 α = 2 3 4 5 6 7 8 9 10 11 12 Time Series Value Yt 105 135 120 105 90 120 145 140 100 80 100 110 Forecast Ft (c) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.
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