What type of pattern exists in the data? O The time series plot shows a downward linear trend. O The time series plot shows a downward curvilinear trend. O The time series plot shows an upward linear trend. O The time series plot shows an upward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.) | billion (d) Compute an estimate of this company's revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) billion

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014.

| Year | Period (t) | Revenue ($ billions) |
|------|------------|----------------------|
| 2009 | 1          | 23.6                 |
| 2010 | 2          | 29.2                 |
| 2011 | 3          | 38.0                 |
| 2012 | 4          | 50.1                 |
| 2013 | 5          | 59.8                 |
| 2014 | 6          | 66.6                 |

(a) Construct a time series plot.

Four time series plots are shown:

1. Plot 1: A straight line moving downward.
2. Plot 2: A curve peaking around Period 3, then sloping downwards.
3. Plot 3: A curve dipping between Periods 2 to 4, then rising sharply.
4. Plot 4: A straight line moving upward.

Question: What type of pattern exists in the data?
- The time series plot shows a downward linear trend.
- The time series plot shows a downward curvilinear trend.
- The time series plot shows an upward linear trend.
- The time series plot shows an upward curvilinear trend.

(b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.)

\( T_t = \) [Input box]

(c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.)

\$ [Input box] billion

(d) Compute an estimate of this company’s revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.)

\$ [Input box] billion
Transcribed Image Text:The following table shows a company's annual revenue (in billions of dollars) for 2009 to 2014. | Year | Period (t) | Revenue ($ billions) | |------|------------|----------------------| | 2009 | 1 | 23.6 | | 2010 | 2 | 29.2 | | 2011 | 3 | 38.0 | | 2012 | 4 | 50.1 | | 2013 | 5 | 59.8 | | 2014 | 6 | 66.6 | (a) Construct a time series plot. Four time series plots are shown: 1. Plot 1: A straight line moving downward. 2. Plot 2: A curve peaking around Period 3, then sloping downwards. 3. Plot 3: A curve dipping between Periods 2 to 4, then rising sharply. 4. Plot 4: A straight line moving upward. Question: What type of pattern exists in the data? - The time series plot shows a downward linear trend. - The time series plot shows a downward curvilinear trend. - The time series plot shows an upward linear trend. - The time series plot shows an upward curvilinear trend. (b) Develop a linear trend equation for this time series to forecast revenue (in billions of dollars). (Round your numerical values to three decimal places.) \( T_t = \) [Input box] (c) What is the average revenue increase per year (in billions of dollars) that this company has been realizing? (Round your answer to three decimal places.) \$ [Input box] billion (d) Compute an estimate of this company’s revenue (in billions of dollars) for 2015. (Round your answer to two decimal places.) \$ [Input box] billion
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
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