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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.

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.

Advanced Engineering Mathematics
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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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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