The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 135 120 4 105 90 6. 120 145 8. 140 2. 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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The following time series shows the sales of a particular product over the past 12 months.
Month Sales
1
105
2
135
3
120
4
105
90
120
7
145
8
140
100
10
80
11
100
12
110
Transcribed Image Text:The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3 120 4 105 90 120 7 145 8 140 100 10 80 11 100 12 110
(c) Use a smoothing constant of a = 0.6 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.)
Time Series Value
Month t
Forecast F,
1
105
135
3
120
105
5
90
6
120
7
145
8
140
9
100
10
80
11
100
12
110
Does a smoothing constant of 0.4 or 0.6 appear to provide more accurate forecasts based on MSE?
O A smoothing constant of 0.6 is better than a smoothing constant of 0.4 since the MSE is less for 0.6 than for 0.4.
O A smoothing constant of 0.4 is better than a smoothing constant of 0.6 since the MSE is greater for 0.4 than for 0.6.
O A smoothing constant of 0.4 is better than a smoothing constant of 0.6 since the MSE is less for 0.4 than for 0.6.
O A smoothing constant of 0.6 is better than a smoothing constant of 0.4 since the MSE is greater for 0.6 than for 0.4.
Transcribed Image Text:(c) Use a smoothing constant of a = 0.6 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.) Time Series Value Month t Forecast F, 1 105 135 3 120 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 Does a smoothing constant of 0.4 or 0.6 appear to provide more accurate forecasts based on MSE? O A smoothing constant of 0.6 is better than a smoothing constant of 0.4 since the MSE is less for 0.6 than for 0.4. O A smoothing constant of 0.4 is better than a smoothing constant of 0.6 since the MSE is greater for 0.4 than for 0.6. O A smoothing constant of 0.4 is better than a smoothing constant of 0.6 since the MSE is less for 0.4 than for 0.6. O A smoothing constant of 0.6 is better than a smoothing constant of 0.4 since the MSE is greater for 0.6 than for 0.4.
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