2. Consider the following data. 1 2 3 4 5 6 7 2 35 150 500 1250 2500 5000 X y Apply the whole modeling process: 1) Consider a modeling assumption and its linearized version Y = AX + B. You may assume that the model is a power function model or an exponential model. 2) Test the suitability of the model assumptions. 3) Develop a model on this basis by determining the model parameters. 4) Test the suitability of your model by comparing it with the original data. Calculate the relative error in % for each data point. Comment on the suitability of your model. 5) Consider the y value at x=2.5. At which x is this value y(x=2.5) increased by 150% according to the model?

2. Consider the following data. 1 2 3 4 5 6 7 2 35 150 500 1250 2500 5000 X y Apply the whole modeling process: 1) Consider a modeling assumption and its linearized version Y = AX + B. You may assume that the model is a power function model or an exponential model. 2) Test the suitability of the model assumptions. 3) Develop a model on this basis by determining the model parameters. 4) Test the suitability of your model by comparing it with the original data. Calculate the relative error in % for each data point. Comment on the suitability of your model. 5) Consider the y value at x=2.5. At which x is this value y(x=2.5) increased by 150% according to the model?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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