Writing a cubic function

randal urso

2017 3 9

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When the grader enters cubic(x,y), your function should return a plot of the cubic spline interpolant (with natural boundary conditions) for arrays x and y. The plot should also include markers for the data points. If you use multiple .m les to accomplish this, send them all to the grader. There is a code outline on Canvas to help you with this implementation. You may want to test your function with the following data:

x 0.06 0.47 1.01 1.50 2.05 2.53 2.99 3.44

y 1.0499 1.3274 1.3588 1.2550 1.6322 2.5523 3.4462 3.6684

With this test data:

(a) The spline coecients are (ai's in the rst column, bi's in the second, and so on):

1.0499 0.7946 0 -0.7004

1.3274 0.4414 -0.8614 0.2810

1.3588 -0.2431 -0.4061 0.9592

1.2550 0.0497 1.0038 0.2776

1.6322 1.4059 1.4618 -0.8275

2.5523 2.2372 0.2702 -1.9766

3.4462 1.2310 -2.4575 1.8204

(b) With that data, a few (x; S(x)) values of the interpolant include: (0:8; 1:3893), (2:45; 2:3755), and (3:23; 3:6253).