Let L(z) be the linear spline that interpolates the data. Describe what L(z)

consists of, and what conditions it has to satisfy. Find L(2), and compute the

value for L(1.8).

Let C(z) be the natural cubic spline that interpolates the data. Describe what

C(z) consists of, and what conditions it has to satisfy. In particular, set up the

system of lincar equations (3.4.5) (in text book, 2nd edition) or (3.4.12) (in text

book, 1st edition). Find the spline function C(r), and compute the value for

C(1.8). The computation here can be time consuming, and you may use Matlab

to solve the system of linear equations.