9. Cell Phone Subscribers The following data represent the number of cell phone subscribers in the United States from 1985 through 2010. Number of Subscribers (in millions), y Number of Subscribers Year, x Year, x (in millions), y 1985 (x = 1) 0.34 1998 (x = 14) 69.21 1986 (x = 2) 0.68 1999 (x = 15) 86.05 1987 (x = 3) 1.23 2000 (x = 16) 109.48 1988 (x = 4) 2.07 2001 (x = 17) 128.37 1989 (x = 5) 3.51 2002 (x = 18) 140.77 1990 (x = 6) 5.28 2003 (x = 19) 158.72 1991 (x = 7) 7.56 2004 (x = 20) 182.14 1992 (x = 8) 11.03 2005 (x = 21) 207.90 1993 (x = 9) 16.01 2006 (x = 22) 233.00 1994 (x = 10) 24.13 2007 (x = 23) 255.40 1995 (x = 11) 33.76 2008 (x = 24) 270.33 1996 (x= 12) 44.04 2009 (x = 25) 285.60 1997 (x = 13) 2010 (x = 26) 55.31 302.90 Source: ©2010 CTIA-The Wireless Association®. All Rights Reserved. (a) Using a graphing utility, draw a scatter diagram of the data using 1 for 1985, 2 for 1986, and so on as the independent variable and number of subscribers as the dependent variable. (b) Using a graphing utility, build a logistic model from the data. (c) Using a graphing utility, draw the function found in part (b) on the scatter diagram. (d) What is the predicted carrying capacity of U.S. cell phone subscribers? (e) Use the model to predict the number of U.S. cell phone subscribers at the end of 2015.
9. Cell Phone Subscribers The following data represent the number of cell phone subscribers in the United States from 1985 through 2010. Number of Subscribers (in millions), y Number of Subscribers Year, x Year, x (in millions), y 1985 (x = 1) 0.34 1998 (x = 14) 69.21 1986 (x = 2) 0.68 1999 (x = 15) 86.05 1987 (x = 3) 1.23 2000 (x = 16) 109.48 1988 (x = 4) 2.07 2001 (x = 17) 128.37 1989 (x = 5) 3.51 2002 (x = 18) 140.77 1990 (x = 6) 5.28 2003 (x = 19) 158.72 1991 (x = 7) 7.56 2004 (x = 20) 182.14 1992 (x = 8) 11.03 2005 (x = 21) 207.90 1993 (x = 9) 16.01 2006 (x = 22) 233.00 1994 (x = 10) 24.13 2007 (x = 23) 255.40 1995 (x = 11) 33.76 2008 (x = 24) 270.33 1996 (x= 12) 44.04 2009 (x = 25) 285.60 1997 (x = 13) 2010 (x = 26) 55.31 302.90 Source: ©2010 CTIA-The Wireless Association®. All Rights Reserved. (a) Using a graphing utility, draw a scatter diagram of the data using 1 for 1985, 2 for 1986, and so on as the independent variable and number of subscribers as the dependent variable. (b) Using a graphing utility, build a logistic model from the data. (c) Using a graphing utility, draw the function found in part (b) on the scatter diagram. (d) What is the predicted carrying capacity of U.S. cell phone subscribers? (e) Use the model to predict the number of U.S. cell phone subscribers at the end of 2015.
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Transcribed Image Text:9. Cell Phone Subscribers The following data represent the number of cell phone subscribers in the United States from 1985
through 2010.
Number of
Subscribers
(in millions), y
Number of
Subscribers
Year, x
Year, x
(in millions), y
1985 (x = 1)
0.34
1998 (x = 14)
69.21
1986 (x = 2)
0.68
1999 (x = 15)
86.05
1987 (x = 3)
1.23
2000 (x = 16)
109.48
1988 (x = 4)
2.07
2001 (x = 17)
128.37
1989 (x = 5)
3.51
2002 (x = 18)
140.77
1990 (x = 6)
5.28
2003 (x = 19)
158.72
1991 (x = 7)
7.56
2004 (x = 20)
182.14
1992 (x = 8)
11.03
2005 (x = 21)
207.90
1993 (x = 9)
16.01
2006 (x = 22)
233.00
1994 (x = 10)
24.13
2007 (x = 23)
255.40
1995 (x = 11)
33.76
2008 (x = 24)
270.33
1996 (x= 12)
44.04
2009 (x = 25)
285.60
1997 (x = 13)
2010 (x = 26)
55.31
302.90
Source: ©2010 CTIA-The Wireless Association®. All Rights Reserved.
(a) Using a graphing utility, draw a scatter diagram of the data using 1 for 1985, 2 for 1986, and so on as the independent variable
and number of subscribers as the dependent variable.
(b) Using a graphing utility, build a logistic model from the data.
(c) Using a graphing utility, draw the function found in part (b) on the scatter diagram.
(d) What is the predicted carrying capacity of U.S. cell phone subscribers?
(e) Use the model to predict the number of U.S. cell phone subscribers at the end of 2015.
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