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(c) Use a = 0.2 to compute the exponential smoothing values for the time serles. Time Serles Value Week Forecast 19 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 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 sincei 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. a =

(c) Use a = 0.2 to compute the exponential smoothing values for the time serles. Time Serles Value Week Forecast 19 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 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 sincei 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. a =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer part e
Consider the following time series data. 2 3 Week 4 Value 19 12 16 11 18 13 (a) Construct a time series plot. What type of pattern exists in the data? O The data appear to follow a trend pattern. O The data appear to follow a horizontal pattern. O The data appear to follow a seasonal pattern. O The data appear to follow a cyclical pattern. (b) Develop the three-week moving average for this time series. (Round your answers to two decimal places.) Time Series Value Week Forecast 1 19 12 3 16 4 11 15.67 18 13 6 13 15 Compute MSE. (Round your answer to two decimal places.) MSE = 16.94 What is the forecast for week 7?
Transcribed Image Text:Consider the following time series data. 2 3 Week 4 Value 19 12 16 11 18 13 (a) Construct a time series plot. What type of pattern exists in the data? O The data appear to follow a trend pattern. O The data appear to follow a horizontal pattern. O The data appear to follow a seasonal pattern. O The data appear to follow a cyclical pattern. (b) Develop the three-week moving average for this time series. (Round your answers to two decimal places.) Time Series Value Week Forecast 1 19 12 3 16 4 11 15.67 18 13 6 13 15 Compute MSE. (Round your answer to two decimal places.) MSE = 16.94 What is the forecast for week 7?
(c) Use a = 0.2 to compute the exponential smoothing values for the time serles. Time Serles Week Forecast Value 1 19 12 19 16 17.6 4 11 17.28 18 16.024 6 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 serles. Time Serles Week Forecast Value 1 19 12 19 16 17.6 4 11 17.28 18 16.024 6 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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