Enter in Matlab a list of 5-15 values from a table in an engineering textbook st

Question

Enter in Matlab a list of 5-15 values from a table in an engineering textbook state your source and what the values represent). Give Matlab code that, in separate graphs, plots the (a) polynomial interpolation and (b cubic spline interpolation through the given values. (c) Describe how the two interpolating curves differ visually, and relate these differences to the characteristics of the two kinds of interpolating functions. Based on your physical knowledge of what the values represent, which interpolating function do you consider more accurate?

Explanation / Answer

%%%MATLAB CODE

%%define some variable according to your data

step= ;%stepsize for horizontal axis (x-axis)

x1max= ;% maximum value of x1 you want to take

%%enter data

x=input();

y=input();

x1=linespace(0,step,x1max);

p=polyfit(x,y,n); %%n is the degree of polynomial you want

y1=polyval(p,x1); %%values of y1 at x1 interpolated by the polynomial function p

y2=spline(x,y,x1);

%% a) part

figure

plot(x1,y1)

xlabel(' Horizontal axis data'); %Whatever the horizontal axis represent

ylabel('Vertical axis data'); %Whatever the vertical axis represent

title('Polynomial Interpolation of the data');

%%b) part

figure

plot(x1,y2)

xlabel('Horizontal axis data'); %Whatever the horizontal axis represent

ylabel('Vertical axis data'); %Whatever the vertical axis represent

title('Cubic Spline Interpolation of the data');

%%%%%%

Explanation

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