Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 11 Data Analysis and Statistics - 11.5 Choose the Best Model for Two-Variable Data - 11.5 Exercises - Problem Solving - Page 779: 11

Answer

See below

Work Step by Step

We will first plot the points that we get from the data. We can notice it creates a graph that looks like the graph of a cubic function. Hence, this data can be modeled by the cubic function $y=ax^3+bx^2+cx+d$ By using a graphing calculator, we find that $a=0.0021\\b=-0.0766\\c=1.258\\d=-0.0664$ Hence, the model for the given data is $y=0.0021x^3-0.0766x^2+1.258x-0.0664$
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