(Calculus required) Given the set of equations for (with ), let us consider the

Chapter 10, Problem T2

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(Calculus required) Given the set of equations for (with ), let us consider the following least squares algorithm for obtaining an approximate solution to the system. Given a point and the line , the distance from this point to the line is given by If we define a function by and then determine the point that minimizes this function, we will determine the point that is closest to each of these lines in a summed least squares sense. Show that and are solutions to the system and Apply this algorithm to the system and compare your results to those in this section.

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