Lesson plan

Model two sets of real-world bivariate data by making a nonlinear regression system of equations

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teaches Common Core State Standards HSS-ID.B.6.a http://corestandards.org/Math/Content/HSS/ID/B/6/a
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Big Ideas Problems that exist within the real-world, including seemingly random bivariate data, can be modeled by various algebraic functions. This lesson builds on students’ prior work with various forms of regression modeling and nonlinear systems. This task focuses on the bivariate data obtained from the revenue from the sales of a type of book versus its individual price and the bivariate data obtained from the distributors cost to ship the books based on their price. This builds towards their understanding of nonlinear regression systems modeling in Advanced Placement and college level courses. Vocabulary: nonlinear system, coefficient of determination, correlation coefficient, revenue, break-even point, profit Special Materials: Graphing calculator or access to graphing software for the purpose of regression modeling.