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Least squares approximation In its many guises, least squares approximation arises in numerous areas of mathematics and statistics. Suppose you collect data for two variables (for example, height and shoe size) in the form of pairs (x1, y1), (x2, y2), …., (xn, yn). The data may be plotted as a
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75. Generalize the procedure in Exercise 74 by assuming n data points (x1, y1), (x2, y2), …, (xn, yn) are given. Write the function E(m, b) (summation notation allows for a more compact calculation). Show that the coefficients of the best-fit line are
where all sums run from k = 1 to k = n
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Chapter 15 Solutions
Calculus: Early Transcendentals (3rd Edition)
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- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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