Modeling Data The table shows [he numbers of cell phone subscribers (in millions) in the United States for selected years. (Source: CTIA-The Wireless Association) Year 2000 2002 2004 2006 Number 109 141 182 233 Year 2008 2010 2012 2014 Number 270 296 326 355 (a) Use die regression capabilities of a graphing utility to find a mathematical model of the form y = a t 2 + b t + c for the data. In the model, y represents the number of subscribers (in millions) and t represents the year, with t = 0 corresponding to 2000. (b) Use a graphing utility to plot the data and graph the model. Compare the data with the model. (c) Use the model to predict the number of cell phone subscribers in the United Sates in the year 2024.
Modeling Data The table shows [he numbers of cell phone subscribers (in millions) in the United States for selected years. (Source: CTIA-The Wireless Association) Year 2000 2002 2004 2006 Number 109 141 182 233 Year 2008 2010 2012 2014 Number 270 296 326 355 (a) Use die regression capabilities of a graphing utility to find a mathematical model of the form y = a t 2 + b t + c for the data. In the model, y represents the number of subscribers (in millions) and t represents the year, with t = 0 corresponding to 2000. (b) Use a graphing utility to plot the data and graph the model. Compare the data with the model. (c) Use the model to predict the number of cell phone subscribers in the United Sates in the year 2024.
Solution Summary: The author explains the mathematical model of the form y=at2+bt+c by the use of graphing utility.
The table shows [he numbers of cell phone subscribers (in millions) in the United States for selected years. (Source: CTIA-The Wireless Association)
Year
2000
2002
2004
2006
Number
109
141
182
233
Year
2008
2010
2012
2014
Number
270
296
326
355
(a) Use die regression capabilities of a graphing utility to find a mathematical model of the form
y
=
a
t
2
+
b
t
+
c
for the data. In the model, y represents the number of subscribers (in millions) and t represents the year, with
t
=
0
corresponding to 2000.
(b) Use a graphing utility to plot the data and graph the model. Compare the data with the model.
(c) Use the model to predict the number of cell phone subscribers in the United Sates in the year 2024.
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