2. Consider the following array: t 1991 1996 2001 2006 2011 2016 y 3,516,000 3,762, 300 3,916,200 4,209, 100 4,399, 400 4,747, 200 where y, is the population of New Zealand in the year t₁. (a) Using the function newt interp of problem 1, compute the interpolating polynomial pe P5, that interpolates the values (ti, yi) and estimate the population of New Zealand for all the years between 1991 until 2016.

Computer Networking: A Top-Down Approach (7th Edition)
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2.
Consider the following array:
(b)
(c)
t
y
1991
1996
2001
2006
2011
2016
3,516,000 3,762,300 3,916, 200 4,209, 100 4,399, 400 4,747, 200
where y; is the population of New Zealand in the year t₁.
(a)
Using the function newtinterp of problem 1, compute the interpolating polynomial
PE P5, that interpolates the values (ti, yi) and estimate the population of New Zealand for all
the years between 1991 until 2016.
Compare the results using the appropriate PYTHON 's function with a cubic spline.
Using your interpolating polynomial find an approximation of the population of New
Zealand for the years 2018 and 2034.
Transcribed Image Text:2. Consider the following array: (b) (c) t y 1991 1996 2001 2006 2011 2016 3,516,000 3,762,300 3,916, 200 4,209, 100 4,399, 400 4,747, 200 where y; is the population of New Zealand in the year t₁. (a) Using the function newtinterp of problem 1, compute the interpolating polynomial PE P5, that interpolates the values (ti, yi) and estimate the population of New Zealand for all the years between 1991 until 2016. Compare the results using the appropriate PYTHON 's function with a cubic spline. Using your interpolating polynomial find an approximation of the population of New Zealand for the years 2018 and 2034.
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