Regression or Curve Fitting

S. P. Venkateshan () and Prasanna Swaminathan ()
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S. P. Venkateshan: Indian Institute of Technology Madras, Department of Mechanical Engineering
Prasanna Swaminathan: Universite Sorbonne Paris Nord, Charge de recherche 2

Chapter Chapter 7 in Computational Methods in Engineering, 2023, pp 299-328 from Springer

Abstract: Abstract Data collected in an experiment that involves a cause and an effect gives information in the form of an ordered pairs such as $$(x_1,y_1)$$ ( x 1 , y 1 ) , $$(x_2,y_2)$$ ( x 2 , y 2 ) , $$\cdots \cdots $$ ⋯ ⋯ , $$(x_i,y_i)$$ ( x i , y i ) , $$\cdots \cdots $$ ⋯ ⋯ , $$(x_n,y_n)$$ ( x n , y n ) . Here x is the cause and y is the effect. For example, the cause may be the temperature to which a sensor is exposed and the effect may be the resistance of the sensor. Both x and y are measured and are prone to measurement error. Figure 7.1 shows a plot between x and y with spline interpolation.

Date: 2023
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DOI: 10.1007/978-3-031-08226-9_7

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