It is known that a natural law obeys the quadratic relationship y = ax-. What is the best line of the form y = px + q that can be used to model data and minimize Mean-Squared-Error if all of the data points are drawn uniformly at random from the domain [0, 1]?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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It is known that a natural law obeys the quadratic relationship y = ax-. What
is the best line of the form y = px + q that can be used to model data and

minimize Mean-Squared-Error if all of the data points are drawn uniformly at
random from the domain [0, 1]?

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