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
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The table shows the number of cellular phone subscribers (in millions) in the United States for selected years.t
1990 1993 1996 1999 2002 2005
Year
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
Need Hels
250
200-
150-
100-
50
y
350
300-
250
200-
150-
100
50
2
4
6
0 1990 1995
8 10 12 14 16 18 20
t
2000
t
2005
2010
y
350
300
250
200
150
100
y
50
0 1990
350
300
250
200
150
100
50
0
1995
6 8
2000
t
2005
2010
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.)
Transcribed Image Text:The table shows the number of cellular phone subscribers (in millions) in the United States for selected years.t 1990 1993 1996 1999 2002 2005 Year 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 Need Hels 250 200- 150- 100- 50 y 350 300- 250 200- 150- 100 50 2 4 6 0 1990 1995 8 10 12 14 16 18 20 t 2000 t 2005 2010 y 350 300 250 200 150 100 y 50 0 1990 350 300 250 200 150 100 50 0 1995 6 8 2000 t 2005 2010 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.)
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