Formulate a 4th order interpolating polynomial that models the COVID cases in the Philippines from April to October, 2021 in a monthly basis. Choose 5 points within the interval to obtain the best model.  You may obtain the data from reputable websites.  Use either the Newton’s Divided Difference or the Lagrange methods of interpolation.  Does your model conform with the trend of the actual data?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Formulate a 4th order interpolating polynomial that models the COVID cases in the Philippines from April to October, 2021 in a monthly basis. Choose 5 points within the interval to obtain the best model.  You may obtain the data from reputable websites.  Use either the Newton’s Divided Difference or the Lagrange methods of interpolation.  Does your model conform with the trend of the actual data?

APRIL 2021
72,848
MAY 2021
40,034
JUNE 2021
44,875
JULY 2021
40,932
96,724
AUGUST 2021
SEPTEMBER 122,625
2021
OCTOBER 2021 38,189
Transcribed Image Text:APRIL 2021 72,848 MAY 2021 40,034 JUNE 2021 44,875 JULY 2021 40,932 96,724 AUGUST 2021 SEPTEMBER 122,625 2021 OCTOBER 2021 38,189
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