   Chapter 2.2, Problem 97E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section 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.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 