Writing Describe the difference between interpolation and extrapolation. Explain how both could be useful.
To describe the difference between interpolation and extrapolation.
Explanation of Solution
Given:
Interpolation and Extrapolation
Extrapolation is an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known. In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information.
Interpolation is an estimation of a value within two known values in a sequence of values. Polynomial interpolation is a method of estimating values between known data points. When graphical data contains a gap, but data is available on either side of the gap or at a few specific points within the gap, interpolation allows us to estimate the values within the gap.
Conclusion:
Therefore, in this way both could be useful.
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