Practice Newton’s Backward Interpolation Formula (2.4) - Interpolation Formulas

Practice: Newton’s Backward Interpolation Formula

Lesson 2.4Interpolation Formulas

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8 questions

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6 sample questions

Question 1.
What is the formula for Newton's Backward Interpolation?
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Look for the structure of the interpolation formula in your notes.
Question 2.
Define finite differences.
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Think about how we approximate derivatives.
3Question 3.
What does u represent in Newton's backward interpolation formula?
- The next y value
- The last known y value
- The relative position of x
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Think about how u connects to the values of x.
4Question 4.
True or False: Newton's Backward Interpolation is suited for estimating values near the start of a dataset.
- True
- False
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Recall the specific application of this formula.
Question 5.
With known data points (1, 2), (2, 6), and (4, 24), estimate f(3) using the backward interpolation formula. Show your calculations for each step.
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Make sure to verify the backward differences used.
Question 6.
Given data points of y-values at (1, 1), (2, 4), (3, 9), (4, 16), use backward interpolation to find f(3.5). Display all workings.
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Take your time to check the step size and differences defined.

4 more questions in this section. Enroll free to practise them all.