For each of the sets of data that follows, use the least squares approximation to find the best fits with both (i) a linear function and (ii) a quadratic function. Compute the error E in both cases. (a) {(-3, 9), (−2, 6), (0, 2),(1, 1)} (b) {(1, 2), (3,4), (5, 7), (7, 9), (9, 12)} (c) {(−2, 4), (−1, 3), (0, 1), (1,−1), (2,−3)}

For each of the sets of data that follows, use the least squares approximation to find the best fits with both (i) a linear function and (ii) a quadratic function. Compute the error E in both cases. (a) {(-3, 9), (−2, 6), (0, 2),(1, 1)} (b) {(1, 2), (3,4), (5, 7), (7, 9), (9, 12)} (c) {(−2, 4), (−1, 3), (0, 1), (1,−1), (2,−3)}

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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