Answered: The following table shows Google's…

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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Question

The following table shows Google's annual revenue (in billions of dollars) for 2009 to 2014.†

Year	Period (t)	Revenue ($ billions)
2009	1	23.7
2010	2	29.3
2011	3	37.9
2012	4	50.2
2013	5	59.8
2014	6	66.7

(a)Construct a time series plot.

-A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Period. The vertical axis ranges from 0 to 80 and is labeled: Revenue ($ billions). The points are plotted from left to right at regular increments of 1 period starting at period 1. Initially, the points are plotted in an upward, diagonal direction. However, after the third point, the points are plotted in a downward, diagonal direction that becomes steeper as period increases. The points are between 23 to 71 on the vertical axis.

-A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Period. The vertical axis ranges from 0 to 80 and is labeled: Revenue ($ billions). The points are plotted from left to right at regular increments of 1 period starting at period 1. Initially, the points are plotted in a downward, diagonal direction. However, after the third point, the points are plotted in an upward, diagonal direction that becomes steeper as period increases. The points are between 17 to 67 on the vertical axis.

-A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Period. The vertical axis ranges from 0 to 80 and is labeled: Revenue ($ billions). The points are plotted from left to right in a fairly consistent upward, diagonal direction at regular increments of 1 period starting at period 1. The points are between 23 to 67 on the vertical axis.

-A time series plot contains a series of 6 points connected by line segments. The horizontal axis ranges from 0 to 7 and is labeled: Period. The vertical axis ranges from 0 to 80 and is labeled: Revenue ($ billions). The points are plotted from left to right in a fairly consistent downward, diagonal direction at regular increments of 1 period starting at period 1. The points are between 23 to 67 on the vertical axis.

What type of pattern exists in the data?

-The time series plot shows an upward curvilinear trend.

-The time series plot shows a downward curvilinear trend.

-The time series plot shows a downward linear trend.

-The time series plot shows an upward linear 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 = ??

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

$ (??) billion

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

$ (??) billion

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