Example By means of a method of the least squares to pick up the 2nd degree polynomial for the results of measurements of values of function y presented by the table at equidistant values of argument х :
S o l u t i o n . As is known, a general view of the 2nd degree polynomial: Let's make system of Gauss’ normal equations:
Coefficients of system of these equations according to data of the table are equal to:
After substitution of numerical values of coefficients the system of Gauss’normal equations becomes:
Its solution: Thus, the 2nd degree required polynomial:

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