Consider the following time series data. Month 1 2 3 4 5 6 Value 26 15 22 14 21 25 17
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![(c) Use a = 0.2 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)
Time Series
Month
Forecast
Value
1
26
2
15
3
22
4
14
5
21
6
25
7
17
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for month 8? (Round your answer to two decimal places.)
(d) Compare the three-month moving average approach with the exponential smoothing approach using a = 0.2. Which appears to provide more accurate forecasts based on MSE?
O The exponential smoothing using a = 0.2 provides a better forecast since it has a larger MSE than the three-month moving average.
O The three-month moving average provides
better forecast since it has a smaller MSE than the exponential smoothing using a = 0.2.
O The three-month moving average provides a better forecast since it has a larger MSE than the exponential smoothing 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-month moving average.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab0c277e-0eb4-4ef9-8c96-fc1557333ba7%2F34c95d31-c1a3-4b5a-a51a-d6a1d00363ea%2F88khmnc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) Use a = 0.2 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)
Time Series
Month
Forecast
Value
1
26
2
15
3
22
4
14
5
21
6
25
7
17
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for month 8? (Round your answer to two decimal places.)
(d) Compare the three-month moving average approach with the exponential smoothing approach using a = 0.2. Which appears to provide more accurate forecasts based on MSE?
O The exponential smoothing using a = 0.2 provides a better forecast since it has a larger MSE than the three-month moving average.
O The three-month moving average provides
better forecast since it has a smaller MSE than the exponential smoothing using a = 0.2.
O The three-month moving average provides a better forecast since it has a larger MSE than the exponential smoothing 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-month moving average.
![Consider the following time series data.
Month
1
2
3
4
5
6
7
Value 26 15
22
14
21
25
17
(a) Construct a time series plot.
30
30т
30 T
30
25
25
25
25
20
20
20
20
15-
15
15
15
10-
10-
10+
10-
5+
5-
5
5-
0-
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
0 1
4 5 6 7 8
4 5 6 7
8.
8.
2
3
Month
Month
Month
Month
What type of pattern exists in the data?
O The data appear to follow a cyclical pattern.
O The data appear to follow a trend pattern.
O The data appear to follow a seasonal pattern.
O The data appear to follow a horizontal pattern.
(b) Develop the three-month moving average forecasts for this time series.
Time Series
Month
Forecast
Value
1
26
15
22
14
21
6
25
7
17
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for month 8?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab0c277e-0eb4-4ef9-8c96-fc1557333ba7%2F34c95d31-c1a3-4b5a-a51a-d6a1d00363ea%2F70my61n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following time series data.
Month
1
2
3
4
5
6
7
Value 26 15
22
14
21
25
17
(a) Construct a time series plot.
30
30т
30 T
30
25
25
25
25
20
20
20
20
15-
15
15
15
10-
10-
10+
10-
5+
5-
5
5-
0-
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
0 1
4 5 6 7 8
4 5 6 7
8.
8.
2
3
Month
Month
Month
Month
What type of pattern exists in the data?
O The data appear to follow a cyclical pattern.
O The data appear to follow a trend pattern.
O The data appear to follow a seasonal pattern.
O The data appear to follow a horizontal pattern.
(b) Develop the three-month moving average forecasts for this time series.
Time Series
Month
Forecast
Value
1
26
15
22
14
21
6
25
7
17
Compute MSE. (Round your answer to two decimal places.)
MSE =
What is the forecast for month 8?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman