%Year Population 1900 3437202 1910 4766883 1920 5620048 1930 6930446 1940 7454995 1950 7891957 1960 7781984 1970 7894862 1980 7071639 1990 7322564 2000 8008278 2010 8175133 2020 8804190 givas the consus populatlons of New York City from 1900 to 2020. Estimato NYC's 2015 population uning the following mothods: Above data (a) Linear intorpolation ( intorp 1(yoar, papulation, 2015) (b) Polynomial intorpolation of just the last three values ( polyval and polyfit) (c) Polynomial interpolation of all the values (4) Third-degree polynamial regression (not interpolation, polyttlyear, papulation, 3) ) of all the values (e) Cubic splina interpolation (not-a-knot boundary conditions) uning all the valuas ( spline) (1) Cubic spline interpolation (natural boundary condilions) using all the values ( caape with the Variational' option) (g) Piecawise cubic Hermite intarpolation using all tha censuses ( pctip ).

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%Year Population
1900
3437202
1910
4766883
1920
5620048
1930
6930446
1940
7454995
1950
7891957
1960
7781984
1970
7894862
1980
7071639
1990
7322564
2000
8008278
2010
8175133
2020
8804190
gives the cansus populations of New York City from 1900 to 2020. Estimate NYC's 2015 population using the following methods:
Above data
(a) Linear interpolation ( intarp 1lyar, papulation, 2015)
(b) Polynomial interpolation of just the last three values ( polyval and poalyfit)
(c) Polynomial interpolation of all the values
(d) Third-degree polynomial regression (not interpolation, polyftlyear, population, 3) ) of all the values
(e) Cubic spline interpolation (not-a-knot boundary conditions) using all the valuas ( spline )
() Cubic spline interpolation (natural boundary conditions) using all the values ( ceape with the variational oplion)
(g) Piecewise cubic Hermite intarpolation using all tha cansuses ( pchip ).
Transcribed Image Text:%Year Population 1900 3437202 1910 4766883 1920 5620048 1930 6930446 1940 7454995 1950 7891957 1960 7781984 1970 7894862 1980 7071639 1990 7322564 2000 8008278 2010 8175133 2020 8804190 gives the cansus populations of New York City from 1900 to 2020. Estimate NYC's 2015 population using the following methods: Above data (a) Linear interpolation ( intarp 1lyar, papulation, 2015) (b) Polynomial interpolation of just the last three values ( polyval and poalyfit) (c) Polynomial interpolation of all the values (d) Third-degree polynomial regression (not interpolation, polyftlyear, population, 3) ) of all the values (e) Cubic spline interpolation (not-a-knot boundary conditions) using all the valuas ( spline ) () Cubic spline interpolation (natural boundary conditions) using all the values ( ceape with the variational oplion) (g) Piecewise cubic Hermite intarpolation using all tha cansuses ( pchip ).
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