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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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The numbers of cellular phone subscribers y (in millions) for the years 2(X)4 through 2013 are shown in the table. Find the least squares regression line for the data and use the result to estimate the number of subscribers in 2017. Let t represent the year, with t = 4 corresponding to 2004. (Source: CTIA-The Wireless Association)

Year 2004 2005 2006 2007 2008
y 182.1 207.9 233.0 255.4 270.3
Year 2009 2010 2011 2012 2013
y 285.6 296.3 316.0 326.5 335.7

Spreadsheet at LarsonAppliedCalculus.com

To determine

To calculate: The least square regression line for the given data and use the result to estimate the number of subscribers in 2017.

Explanation

Given Information:

The given data is,

years 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013
subscirbers 182.1 207.9 233.0 255.4 270.3 285.6 296.3 316.0 326.5 835.7

Calculation:

Suppose t shows the number of years and t=4 corresponds to the year 2004. Then the table reduces to

t(years) 4 5 6 7 8 9 10 11 12 13
y(subscirbers) 182.1 207.9 233.0 255.4 270.3 285.6 296.3 316.0 326.5 835.7

To fit a regression line on the provided data use Ti-83 calculator as follows:

Press “2nd” key and “0” key. Catalog window will open. Move the cursor to “Diagnostic On.” Press “Enter.” Again press “Enter.” The display on Ti-83 calculator is as follows:

"diagnosticOn                     Done"

Press “Stat” key, scroll to “1:Edit” and press “Enter

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