The interpolation formulae used for unequally spaced values
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Lagrange’s Interpolation formulae will help you to find out the values for a function y=f(x) corresponding to values of x. Please note that this is an Interpolation formulae and hence you would need the data points above and below the current y=f(x) that you are predicting for.
So by interpolation, you are predicting the value of y corresponding to a ‘x’ data point that falls within the range of x for which y is already known. If you are predicting a value of y that corresponds to a ‘x’ that is outside the range of ‘x’ for which y is known, then that is called as Extrapolation.
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