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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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Section
BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Mobile Enterprise IM Accounts The projected number of mobile enterprise instant messaging (IM) accounts (in millions) from 2006 through 2010 is given in the following table (t = 0 corresponds to the beginning of 2006):

Year 0 1 2 3 4
Accounts 2.3 3.6 5.8 8.7 14.9
  1. a. Use CubicReg to find a third-degree polynomial regression model based on the given data.
  2. b. Plot the graph of the function/found in part (a), using the viewing window [0, 5] × [0, 16].
  3. c. Compute f(0), f(1), f(2), f(3), and f(4).

Source: The Radical Group.

(a)

To determine
The third degree polynomial regression model for the given data.

Explanation

Given:

The projected number of mobile enterprise instant messaging account (in millions) from 2006 through 2010 is given in the table.

YearAccounts
02.3
13.6
25.8
38.7
414.9

Calculation:

Use graphing calculator to find the third degree polynomial that best fits the data.

First press “ON” button on graphical calculator, press STAT key, select option 1: Edit and press ENTER key. Then enter the given data in the columns of graphing calculator. The display shows the table as shown in Figure (1).

(b)

To determine

To sketch: The graph of the function found in part (a) in the viewing window [0,5]×[0,16] .

(c)

To determine
The value of f(0),f(1),f(2),f(3)andf(4) .

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P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-1BMCh-2 P-2BMCh-2 P-3BMCh-2 P-4BMCh-2 P-5BMCh-2 P-6BM

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