Answered: The number of users of a certain…

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

A statistical program is recommended.

The number of users of a certain website (in millions) from 2004 through 2011 follows.

Year	Period	Users (Millions)
2004	1	1
2005	2	7
2006	3	11
2007	4	57
2008	5	146
2009	6	359
2010	7	609
2011	8	845

(a)

Construct a time series plot.

A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 850). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction that doesn't appear to become more or less steep as period increases. The last point is at approximately (8, 0).

A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 850). The rest are plotted from left to right at regular increments of 1 period in a downward, diagonal direction that becomes less steep as period increases. The last point is at approximately (8, 0).

A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction that doesn't appear to become more or less steep as period increases. The last point is at approximately (8, 850).

A time series plot contains a series of 8 points connected by line segments. The horizontal axis ranges from 0 to 10 and is labeled: Period. The vertical axis ranges from 0 to 900 and is labeled: Millions of Users. The first point is at approximately (1, 0). The rest are plotted from left to right at regular increments of 1 period in an upward, diagonal direction that becomes steeper as period increases. The last point is at approximately (8, 850).

What type of pattern exists?

The time series plot exhibits a downward linear trend.The time series plot exhibits an upward linear trend. The time series plot exhibits an upward curvilinear trend.The time series plot exhibits a downward curvilinear trend.

(b)

Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast users (in millions). (Round your numerical values to one decimal place. Since this is time series, make sure to use t as the variable for the time period when entering the equation.)

T_t =

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