A certain experiment produces the data (1, 1.8), (2,2.7), (3, 3.4), (4, 3.8), (5, 3.9) Describe the model that produces a least-squares fit of these points bya function of the form у %3D Вух + Вx? Such a function might arise, for example, as the revenue from the sale of x units of a product, when the amount offered for sale affects the price to be set for the product. a. Give the design matrix, the observation vector, and the unknown parameter vector. b. [M] Find the associated least-squares curve for the data.
A certain experiment produces the data (1, 1.8), (2,2.7), (3, 3.4), (4, 3.8), (5, 3.9) Describe the model that produces a least-squares fit of these points bya function of the form у %3D Вух + Вx? Such a function might arise, for example, as the revenue from the sale of x units of a product, when the amount offered for sale affects the price to be set for the product. a. Give the design matrix, the observation vector, and the unknown parameter vector. b. [M] Find the associated least-squares curve for the data.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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