Question: You are given the following data: t = [ 0 y [ 0 .1 .499 .5 .06.17 = 1.0 .19 .21 .26 1.4 1.5

You are given the following data: t = [ 0 y [

 

You are given the following data: t = [ 0 y [ 0 .1 .499 .5 .06.17 = 1.0 .19 .21 .26 1.4 1.5 1.899 1.9 2.0 ] .29.29 .30 .31 .31 ] (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? (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?

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