The table shows the number of cellular phone subscribers (in millions) in the United States for selected years. Year 1990 1993 1996 1999 2002 2005 Number 5 16 44 86 141 206 (a) Use the regression capabilities of a graphing utility to find a mathematical model of the form y = at² + bt + c for the data. In the model, y represents the number of subscribers and t represents the year, with t = 0 corresponding to 1990. (Round your coefficients to three decimal places.) y = (b) Use a graphing utility to plot the data and graph the model. 350 300 250 200 y 150 100 50- 350 300 y 250 200 150 100 01990 1996 8 10 12 14 16 18 20 1 2000 1 2005 2010 Y O y O 350 300 250 200 150 100 50- 01900 350 300 250 200 150 100 50- 1995 24 2000 t 2005 2010 8 10 12 14 16 18 20 t (c) Use the model to predict the number of cellular phone subscribers in the United States in the year 2017. (Round your answer to three decimal places.)
The table shows the number of cellular phone subscribers (in millions) in the United States for selected years. Year 1990 1993 1996 1999 2002 2005 Number 5 16 44 86 141 206 (a) Use the regression capabilities of a graphing utility to find a mathematical model of the form y = at² + bt + c for the data. In the model, y represents the number of subscribers and t represents the year, with t = 0 corresponding to 1990. (Round your coefficients to three decimal places.) y = (b) Use a graphing utility to plot the data and graph the model. 350 300 250 200 y 150 100 50- 350 300 y 250 200 150 100 01990 1996 8 10 12 14 16 18 20 1 2000 1 2005 2010 Y O y O 350 300 250 200 150 100 50- 01900 350 300 250 200 150 100 50- 1995 24 2000 t 2005 2010 8 10 12 14 16 18 20 t (c) Use the model to predict the number of cellular phone subscribers in the United States in the year 2017. (Round your answer to three decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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