use matlab to finish it

4. You are given the following data:

t = [ 0 .1 .499 .5 .6 1.0 1.4 1.5 1.899 1.9 2.0 ]

y = [ 0 .02 .13 .19 .21 .26 .27 .29 .30 .31 .33 ]

( a) Plot the data, using "*" at the data points, then try a polynomial fit of the correct degree to interpolate this

number of data points: what do you observe. Give an explanation of this error, in particular why is the term

badly conditioned used if you see?

( b) Plot the data along with a spline interpolant. How does this compare with the plot above? What is a way to

make the plot better?