Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61 2 50 42 52 3 59 61 54 4 79 82 73 (a) Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a trend pattern with no seasonal pattern present. (b) Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise. ŷ = (c) Compute the quarterly forecasts for the next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61 2 50 42 52 3 59 61 54 4 79 82 73 (a) Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern? The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a trend pattern with no seasonal pattern present. (b) Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise. ŷ = (c) Compute the quarterly forecasts for the next year. quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
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
Consider the following time series.
Quarter | Year 1 | Year 2 | Year 3 |
---|---|---|---|
1 | 70 | 67 | 61 |
2 | 50 | 42 | 52 |
3 | 59 | 61 | 54 |
4 | 79 | 82 | 73 |
(a)
Construct a time series plot. What type of pattern exists in the data? Is there an indication of a seasonal pattern?
The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.The time series plot shows a horizontal pattern with no seasonal pattern present. The time series plot shows a trend pattern, but there is also a seasonal pattern in the data.The time series plot shows a trend pattern with no seasonal pattern present.
(b)
Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data.
x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise.
ŷ =
(c)
Compute the quarterly forecasts for the next year.
quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 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