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Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict which of least squares approximation P₁(x) (linear) or P₂ (x) (2nd order polynomial) is better? or they are similar? (Do not need to find P₁ or P₂, no calculations are involved in this problem) Xi 1.0 Yi 1.84 1.1 1.96 1.3 2.21 1.5 1.9 2.45 2.94 2.1 3.18

Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict which of least squares approximation P₁(x) (linear) or P₂ (x) (2nd order polynomial) is better? or they are similar? (Do not need to find P₁ or P₂, no calculations are involved in this problem) Xi 1.0 Yi 1.84 1.1 1.96 1.3 2.21 1.5 1.9 2.45 2.94 2.1 3.18

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict which of least squares approximation P₁(x) (linear) or P₂ (x) (2nd order polynomial) is better? or they are similar? (Do not need to find P₁ or P₂, no calculations are involved in this problem) Xi 1.0 Yi 1.84 1.1 1.96 1.3 1.5 1.9 2.1 2.21 2.45 2.94 3.18
Transcribed Image Text:Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict which of least squares approximation P₁(x) (linear) or P₂ (x) (2nd order polynomial) is better? or they are similar? (Do not need to find P₁ or P₂, no calculations are involved in this problem) Xi 1.0 Yi 1.84 1.1 1.96 1.3 1.5 1.9 2.1 2.21 2.45 2.94 3.18
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