Chaotic Data Sets

For the following data sets:

dataset1.dat 100 pts [no noise]
dataset2.dat 1000 pts [no noise]
dataset3.dat 50 pts [no noise]
dataset4.dat 100 pts [0.001 random noise]

1. Reconstruct the generating function, f
2. Estimate the Lyapunov exponent
3. Estimate the correlation dimension of the attractor

For the following "white noise" data sets

dataset5.dat 100 pts [random noise]
dataset6.dat 1000 pts [random noise]
dataset7.dat 10000 pts [random noise]

1. Estimate the Lyapunov exponent, if possible
2. Estimate the correlation dimension of the attractor, if it exists
3. Explain, in your own words, the difference between random and chaotic data sets.