Plot the data as discrete points

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Reference no: EM132101294

Answer the following Question :

(a) Plot the data as discrete points (e.g., circles).

b) Use the polynomial tting function from your software system (e.g., polyfit in MATLAB) to nd the interpolating polynomial through all the given data points and evaluate it for each year from 1780 to 1960.

Plot this curve on the same gure as the circles above and manually change the y-axis limits to [-50; 200]. (Hint: ylim([0, 200]).) Is this a good t to the data? What is going wrong? Why?

(c) Rather than use a polynomial, repeat part (b) using a cubic spline interpolant. (You may use the built-in function for computing splines in your software system, e.g., spline in MATLAB.) Does this give better results that above?

year	population
1790	3.929
1800	5.038
1810	7.240
1820	9.638
1830	12.866
1840	17.069
1850	23.192
1860	31.433
180	38.558
1880	50.156
1890	62.948
1900	75.996
1910	91.972
1920	105.711
1930	122.775
1940	131.669
1950	150.697

Reference no: EM132101294

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