The data for the use of a certain cellar phone is represented in the table below. Let t represent time in years, thus 2005= year 5. Let f(t) represent users in thousands. t f(t) 8 2005 2010 2015 2020 2021 2022 2030 2035 2040 18.9 18.8 14 18 19 A quadratic regression function for these data is given below. f(t)= -0.05t²+2t-1 where t is time in years and f(t) is users in thousands. Use a graphing calculator or desmos.com (https://help.desmos.com/hc/en-us/articles/4406972958733- Regressions) determine the following. a) Is the function a good model for the data, yes or no, explain. b) Using this model, predict the number of users (in thousands) for the year 2030. c) Using this model, predict the number of users (in thousands) for the year 2035.

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Chapter2: Second-order Linear Odes
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R The data for the use of a certain cellar phone is represented in the table below. Let t represent time in
years, thus 2005 = year 5. Let f(t) represent users in thousands.
6
2005
t
f(t) 8
2010 2015
14
18
2020 2021 2022 2030 2035 2040
19 18.9 18.8
A quadratic regression function for these data is given below.
f(t) = -0.05t²+2t-1 where t is time in years and f(t) is users in thousands.
Use a graphing calculator or desmos.com (https://help.desmos.com/hc/en-us/articles/4406972958733-
Regressions) determine the following.
a) Is the function a good model for the data, yes or no, explain.
b) Using this model, predict the number of users (in thousands) for the year 2030.
c) Using this model, predict the number of users (in thousands) for the year 2035.
d) Between what years will there be zero users?
e) If you were the CEO of this cellular phone company, what would you do based on this model? (There is
no right or wrong answer for part e. But do take the question seriously; after all, this is an algebra of
business and economics course.)
f) Include your regression graph in your answer.
Transcribed Image Text:R The data for the use of a certain cellar phone is represented in the table below. Let t represent time in years, thus 2005 = year 5. Let f(t) represent users in thousands. 6 2005 t f(t) 8 2010 2015 14 18 2020 2021 2022 2030 2035 2040 19 18.9 18.8 A quadratic regression function for these data is given below. f(t) = -0.05t²+2t-1 where t is time in years and f(t) is users in thousands. Use a graphing calculator or desmos.com (https://help.desmos.com/hc/en-us/articles/4406972958733- Regressions) determine the following. a) Is the function a good model for the data, yes or no, explain. b) Using this model, predict the number of users (in thousands) for the year 2030. c) Using this model, predict the number of users (in thousands) for the year 2035. d) Between what years will there be zero users? e) If you were the CEO of this cellular phone company, what would you do based on this model? (There is no right or wrong answer for part e. But do take the question seriously; after all, this is an algebra of business and economics course.) f) Include your regression graph in your answer.
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