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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section
BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Facebook The following table gives the approximate numbers of Facebook members at various times early in its history.32

Year t (since start of 2005) 0 0.5 1 1.5 2 2.5 3 3.5
Facebook Members n (millions) 1 2 5.5 7 12 30 58 80

a. Use exponential regression to model Facebook membership as a function of time in years since the start of 2005, and graph the data points and regression curve. (Round coefficients to three decimal places.)

b. Fill in the missing quantity: According to the model, Facebook membership each year was _________ times that of the year before.

c. Use your model to estimate Facebook membership in early 2009 to the nearest million.

(a)

To determine

To calculate: The regression model and the regression curve by using exponential regression to model Facebook membership as a function of time t since 2005 if the number of Facebook members at various times early in its history is shown by the provided table.

Explanation

Given Information:

The number of Facebook members at various times early in its history is shown by following table,

Year t(Since start of 2005) 0 0.5 1 1.5 2 2.5 3 3.5
Facebook Members n (million) 1 2 5.5 7 12 30 58 80

Calculation:

Consider the number of Facebook members at various times early in its history is shown by following table,

Year t(Since start of 2005) 0 0.5 1 1.5 2 2.5 3 3.5
Facebook Members n (million) 1 2 5.5 7 12 30 58 80

To find the regression model use Ti-83 calculator.

Step 1: Press ON tab and then click on STAT tab and then press ‘1’.

Step 2: Click on Edit and then put the value of time t in column L1 and F in L2 column.

L1L2010.5215.51.572122

(b)

To determine

To fill: The missing quantity in the statement “According to the model, Facebook membership each year was ____ times that of the year before’

(c)

To determine

To calculate: The number of Facebook membership in early 2009 if the number of Facebook members at various times early in its history is shown by the provided table.

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