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Numerical Methods207910 marksNumerical: Lagrange's interpolationLagrange interpolation formula and algorithm

Question What are the applications of interpolation? Differentiate between interpolation and regression. Consider the following data points estimate the f(10) using Lagrange's interpolation.

Question

What are the applications of interpolation? Differentiate between interpolation and regression. Consider the following data points estimate the $f(10)$ using Lagrange's interpolation.

$$\begin{array}{|c|c|c|c|c|}\hline x & 5 & 6 & 9 & 11 \ \hline y & 13 & 14 & 15 & 16 \ \hline \end{array}$$

[10]

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