Regression and Correlation of Data

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Regression and Correlation of Data Objective: Fit a polynomial with the Least Squares Method

Regression and Correlation of Data Fitting the polynomial with the least squares approach Least squares method can also be sued to determine the coefficients: (n+1 coefficients) i = 0, 1, 2, …, n (n+1 equations)

Regression and Correlation of Data In this case, we wish to minimize: where: M is the number of data points minus 1 The minimization step leads to a system of n+1 normal equations in n+1 unknowns. The unknowns are the coefficients of the polynomial  a0, a1, a2, … , an

Regression and Correlation of Data Gives a system of equations simultaneous equations that can be solved. Example 45