We\'re going to look at interpolation (in contrast to data fitting). In particul

Question

We're going to look at interpolation (in contrast to data fitting). In particular, we will look at polynomial interpolation. What is the difference between interpolating and least-squares data fitting a linear combination of functions f(x) = alpha_1 phi_1 (x) + alpha_2 phi_2 (x) +... + a_n phi_n(x) to some data points (x_1, y_1)? You can look at the two links above to help with this. Choice None whatsoever The result of interpolation is not guaranteed to satisfy f(x_i) = y_i Data fitting only works for lines, interpolation works for higher-order polynomials The result of data fitting is not guaranteed to satisfy f(x_i) = y_i

Explanation / Answer

None what so ever is the answer.

Curve fitting is used obtain the equation of curve for the given data.

Interpolation is used to fit the curve using finite diffeence.

The goals of both methods are same

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