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4 cards from this section. Quick, good the night before a test.
Define interpolation in your own words.
Think about how you would predict a temperature for a day not directly measured.
What is a forward difference?
Use the formula Δy = y(i+1) - y(i) for clarity.
What is interpolation primarily used for?
Think about the gaps between data points.
True or False: Interpolation can be used for equally and unequally spaced data.
Consider all methods discussed.
Using the points (1, 1), (2, 4), (3, 9), estimate f(2.5) using Lagrange's interpolation.
Think of how you'd construct the Lagrange polynomial using the three points.
Given equally spaced data points (0, 1), (1, 1.5), (2, 2), estimate f(1.5) using Newton's forward method.
Calculate forward differences first to use them effectively.
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