3. Matlab (40%) 3.1 You have a dataset of 7 measurements of solar power collected by...

 

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3. Matlab (40%) 3.1 You have a dataset of 7 measurements of solar power collected by a panel, sampled every hour at discrete times tn with the following values f(tn): t [4] 0 1 2 3 f(t) [W] 0.1201 4.7509 8.4490 10.3328 4 9.3699 5 5.8497 1.7147 t=[0 1 2 3 4 5 6]; f=[0.1201 4.7509 8.4490 10.3328 9.3699 5.8497 1.7147]; a) Write a Matlab program that interpolates a full polynomial to the dataset! (5) b) Write a Matlab program that approximates the data by a 5th degree polynomial! (5) c) Write a Matlab program that interpolates the data by a cubic spline! How do you evaluate, using the spline, the function at t=3.5 (5) 3. Matlab (40%) 3.1 You have a dataset of 7 measurements of solar power collected by a panel, sampled every hour at discrete times tn with the following values f(tn): t [4] 0 1 2 3 f(t) [W] 0.1201 4.7509 8.4490 10.3328 4 9.3699 5 5.8497 1.7147 t=[0 1 2 3 4 5 6]; f=[0.1201 4.7509 8.4490 10.3328 9.3699 5.8497 1.7147]; a) Write a Matlab program that interpolates a full polynomial to the dataset! (5) b) Write a Matlab program that approximates the data by a 5th degree polynomial! (5) c) Write a Matlab program that interpolates the data by a cubic spline! How do you evaluate, using the spline, the function at t=3.5 (5)