Homework Help is Here – Start Your Trial Now!
Math
Statistics
(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to three decimal places.) x₁ - 1 if quarter 1, 0 otherwise; x₂-1 if quarter 2, 0 otherwise; x 1 if quarter 3, 0 otherwise 7.667-x₁-5x₂-2x3 X

(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to three decimal places.) x₁ - 1 if quarter 1, 0 otherwise; x₂-1 if quarter 2, 0 otherwise; x 1 if quarter 3, 0 otherwise 7.667-x₁-5x₂-2x3 X

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
See similar textbooks
icon
Related questions
Question

Mo.

Please give only typed answer.

Consider the following time series data. Quarter Year 1 1 2 3 4 ŷt= 3 1 4 6 Year 2 5 2 6 8 8.92 10.92 Year 3 6 5 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. X 7 The time series plot shows a horizontal pattern and no seasonal pattern in the data. O The time series plot shows a linear trend and no seasonal pattern in the data. O The time series plot shows a linear trend and a seasonal pattern in the data. 9 (b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to three decimal places.) X1 = 1 if quarter 1, 0 otherwise; X₂ = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise 7.667x₁5x₂2x3 (c) Compute the quarterly forecasts for the next year based on the model you developed in part (b). (Round your answers to two decimal places.) X quarter 1 forecast 6.67 2.67 quarter 2 forecast quarter 3 forecast quarter 4 forecast 5.67 7.67 (d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1, t = 2 for quarter 2 in year 1, ... t = 12 for quarter 4 in year 3. (Round your numerical values to three decimal places.) .417 +0.219x₁ - 4.188x2 — 1.594x3 +0.406 X (e) Compute the quarterly forecasts for the next year based on the model you developed in part (d). (Round your answers to two decimal places.) quarter 1 forecast 9.92 quarter 2 forecast 5.92 quarter 3 forecast quarter 4 forecast
Transcribed Image Text:Consider the following time series data. Quarter Year 1 1 2 3 4 ŷt= 3 1 4 6 Year 2 5 2 6 8 8.92 10.92 Year 3 6 5 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data. X 7 The time series plot shows a horizontal pattern and no seasonal pattern in the data. O The time series plot shows a linear trend and no seasonal pattern in the data. O The time series plot shows a linear trend and a seasonal pattern in the data. 9 (b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to three decimal places.) X1 = 1 if quarter 1, 0 otherwise; X₂ = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise 7.667x₁5x₂2x3 (c) Compute the quarterly forecasts for the next year based on the model you developed in part (b). (Round your answers to two decimal places.) X quarter 1 forecast 6.67 2.67 quarter 2 forecast quarter 3 forecast quarter 4 forecast 5.67 7.67 (d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1, t = 2 for quarter 2 in year 1, ... t = 12 for quarter 4 in year 3. (Round your numerical values to three decimal places.) .417 +0.219x₁ - 4.188x2 — 1.594x3 +0.406 X (e) Compute the quarterly forecasts for the next year based on the model you developed in part (d). (Round your answers to two decimal places.) quarter 1 forecast 9.92 quarter 2 forecast 5.92 quarter 3 forecast quarter 4 forecast
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS