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). whereConsider the following array:tY19911996200120063,516,000 3,762, 300 3,916, 200 4, 209, 100Yi is the population of New Zealand in the year t;.20114, 399, 40020164,747, 200

Answered: How can I compute the interpolating…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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How can I compute the interpolating polynomial p ∈ P₅ that interpolates the values (t_i, y_i) 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

Expert Solution

Step 1

As per the question we have to write a program to calculate estimated population using newinterp function in python.
In step 2, we write a program to calculate the estimated population using the newinterp function.
Let's start with step 2.
Note: According to the question, we only have to solve part a. thus providing the solution to part a.

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Follow-up Question

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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