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(c) Use a = 0.2 to compute the exponential smoothing values for the time series. Time Serles Value Week Forecast 1 19 2. 12 19 3 16 17.6 4 11 17.28 18 16.024 13 16.412 X Compute MSE. (Round your answer to two decimal places.) MSE - 21.32 What is the forecast for week 7? (Round your answer to two decimal places.) 15.74 (d) Compare the three-week moving average forecast with the exponential smoothing forecast using a - 0.2. Which appears to provide the better forecast based on MSE? Explain. O The exponential smoothing using a - 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a larger MSE than the smoothing approach using a - 0.2. O The exponential smoothing using a - 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach using a = 0.2. (e) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated fora - 0.2.

(c) Use a = 0.2 to compute the exponential smoothing values for the time series. Time Serles Value Week Forecast 1 19 2. 12 19 3 16 17.6 4 11 17.28 18 16.024 13 16.412 X Compute MSE. (Round your answer to two decimal places.) MSE - 21.32 What is the forecast for week 7? (Round your answer to two decimal places.) 15.74 (d) Compare the three-week moving average forecast with the exponential smoothing forecast using a - 0.2. Which appears to provide the better forecast based on MSE? Explain. O The exponential smoothing using a - 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a larger MSE than the smoothing approach using a - 0.2. O The exponential smoothing using a - 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach using a = 0.2. (e) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated fora - 0.2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Please answer part E
Consider the following time series data. Week 2 3 4 5 6. Value 19 12 16 11 18 13
Transcribed Image Text:Consider the following time series data. Week 2 3 4 5 6. Value 19 12 16 11 18 13
(c) Use a - 0.2 to compute the exponential smoothing values for the time series. Time Serles Week Forecast Value 19 12 19 16 17.6 4 11 17.28 18 16.024 13 16.412 X Compute MSE. (Round your answer to two decimal places.) MSE - 21.32 What is the forecast for week 7? (Round your answer to two decimal places.) 15.74 (d) Compare the three-week moving average forecast with the exponential smoothing forecast using a - 0.2. Which appears to provide the better forecast based on MSE? Explain. O The exponential smoothing using a - 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a larger MSE than the smoothing approach using a = 0.2. O The exponential smoothing using a - 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach using a = 0.2. (e) 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:(c) Use a - 0.2 to compute the exponential smoothing values for the time series. Time Serles Week Forecast Value 19 12 19 16 17.6 4 11 17.28 18 16.024 13 16.412 X Compute MSE. (Round your answer to two decimal places.) MSE - 21.32 What is the forecast for week 7? (Round your answer to two decimal places.) 15.74 (d) Compare the three-week moving average forecast with the exponential smoothing forecast using a - 0.2. Which appears to provide the better forecast based on MSE? Explain. O The exponential smoothing using a - 0.2 provides a better forecast since it has a larger MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a larger MSE than the smoothing approach using a = 0.2. O The exponential smoothing using a - 0.2 provides a better forecast since it has a smaller MSE than the three-week moving average approach. O The three-week moving average provides a better forecast since it has a smaller MSE than the smoothing approach using a = 0.2. (e) 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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