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2 cards from this section. Quick, good the night before a test.
What is interpolation?
Think about why we need to predict values that aren't measured.
State the formula for forward difference.
Consider how we calculate changes in values.
What is the main use of Newton's Forward Interpolation?
Think about the context of numerical data.
True or False: The formula is useful when the value of x is near the end of the dataset.
Reflect on the section's definition of applicability.
Given the points (2, 3), (3, 5), (4, 7), apply Newton's Forward Interpolation to find f(2.5).
Ensure to calculate each difference and use the formula stepwise.
Use data points f(1)=1, f(2)=8, f(3)=27 to estimate f(1.5).
Remember, you're working with differences between points!
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