The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 5 2006 3 11 2007 4 59 2008 5 146 2009 6 360 2010 7 608 2011 8 846 (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 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). -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). What type of pattern exists? -The time series plot exhibits an upward curvilinear trend. -The time series plot exhibits a downward curvilinear trend. -The time series plot exhibits a downward linear trend. -The time series plot exhibits an upward linear 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.) Tt = ??

The number of users of a certain website (in millions) from 2004 through 2011 follows. Year Period Users (Millions) 2004 1 1 2005 2 5 2006 3 11 2007 4 59 2008 5 146 2009 6 360 2010 7 608 2011 8 846 (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 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). -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). What type of pattern exists? -The time series plot exhibits an upward curvilinear trend. -The time series plot exhibits a downward curvilinear trend. -The time series plot exhibits a downward linear trend. -The time series plot exhibits an upward linear 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.) Tt = ??

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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Question

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

Year	Period	Users (Millions)
2004	1	1
2005	2	5
2006	3	11
2007	4	59
2008	5	146
2009	6	360
2010	7	608
2011	8	846

(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 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).

-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).

What type of pattern exists?

-The time series plot exhibits an upward curvilinear trend.

-The time series plot exhibits a downward curvilinear trend.

-The time series plot exhibits a downward linear trend.

-The time series plot exhibits an upward linear 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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