A pump is tested for power required to deliver water at specified height. The results are given in the table below. Use least-squares regression to fit: 1. A straight line 2. A power equation P= a Hb 3. A saturation-growth-rate equation 4. A parabolic equation Plot the data along with all the curves. Determine r and Sy/x. Is any one of the curves superior? If so, justify. H 1.1 6.2 12.2 18.4 21.9 28.2 33.9 36.1 44.2 47.3 18 26 34 32 41 37 45 49 95 44

A pump is tested for power required to deliver water at specified height. The results are given in the table below. Use least-squares regression to fit: 1. A straight line 2. A power equation P= a Hb 3. A saturation-growth-rate equation 4. A parabolic equation Plot the data along with all the curves. Determine r and Sy/x. Is any one of the curves superior? If so, justify. H 1.1 6.2 12.2 18.4 21.9 28.2 33.9 36.1 44.2 47.3 18 26 34 32 41 37 45 49 95 44

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 33EQ

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