how to plot a fit or a spline or a smooth curve on a set of data

Hello everybody;

I would like to plot a 2D curve, but what I need is a smooth curve on a set of data. The smooth curve may be an n-polynomial or a spline curve, then calculate the area under that curve.

the data are:

x= [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ]

y= [0.04 0.34 0.76 0.98 1.97 6.10 9.82 9.78 6.53 4.21 2.95 1.27 0.77 0.35 0.05 ]

Thanks in advance

[John D'Errico]

Ok, so on what is clearly homework, what have you tried? If nothing, why not? If you make an effort, then show what you have done, and ask a question, if you then are still having a problem.