How can I compute the interpolating polynomial p ∈ P5 that interpolates the values (ti, yi) and estimate the population of New Zeland for all the years between 1991 and 2016 using cubic spline (in Python).

EBK JAVA PROGRAMMING
9th Edition
ISBN:9781337671385
Author:FARRELL
Publisher:FARRELL
Chapter9: Advanced Array Concepts
Section: Chapter Questions
Problem 8RQ
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How can I compute the interpolating polynomial p ∈ P5 that interpolates the values (ti, yi) and estimate the population of New Zeland for all the years between 1991 and 2016 using cubic spline (in Python).

where
Consider the following array:
t
Y
1991
1996
2001
2006
3,516,000 3,762, 300 3,916, 200 4, 209, 100
Yi is the population of New Zealand in the year t;.
2011
4, 399, 400
2016
4,747, 200
Transcribed Image Text:where Consider the following array: t Y 1991 1996 2001 2006 3,516,000 3,762, 300 3,916, 200 4, 209, 100 Yi is the population of New Zealand in the year t;. 2011 4, 399, 400 2016 4,747, 200
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How do I use cubic spline to solve this question? And how do I get an estimate for all the years between 1991 until 2016 (not only an overall estimate).

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