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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

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

Web Conferencing Web conferencing is a big business, and it’s growing rapidly. The amount (in billions of dollars) spent on Web conferencing from the beginning of 2003 through 2010, and the scatter diagram for these data follow:

Year 2003 2004 2005 2006 2007 2008 2009 2010
Amount 0.50 0.63 0.78 0.92 1.16 1.38 1.60 1.90

images

  1. a. Let t = 0 correspond to the beginning of 2003 and use QuadReg to find a second-degree polynomial regression model based 011 the given data.
  2. b. Plot the graph of the function f found in part (a) using the window [0, 7] × [0, 2].
  3. c. Compute f(0), f(3), f(6), and f(7). Compare these values with the given data.

Source: Gartner Dataquest.

(a)

To determine
The second degree polynomial regression model that best fits the data.

Explanation

Given:

The amount spent on web conferencing from 2003 to 2010.

Assume t=0 that corresponds to the year 2003, t=1 that corresponds to the year 2004, t=2 that corresponds to the year 2005, t=3 that corresponds to the year 2006, t=4 that corresponds to the year 2007, t=5 that corresponds to the year 2008, t=6 that corresponds to the year 2009 and t=7 that corresponds to the year 2010 as shown in table below.

YearNumberOrdered pair
20030.50 (0,0.50)
20040.63 (1,0.63)
20050.78 (2,0.78)
20060.92 (3,0.92)
20071.16 (4,1.16)
20081.38 (5,1.38)
20091.60 (6,1

(b)

To determine

To sketch: The graph of the polynomial f(t)=0.013t2+0.11t+0.503 .

(c)

To determine

To find: The values of the function at t=0,3,6and 7 and compare the values with the given data.

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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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