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Regardless of your unknown reference angle and computations, the raw plots still look suspect since they do not follow any linear or non-linear known characteristics of Z(f), X(f) or R(f). The R^2 result of any plotted curvefit is too low and no explanation of behavior or test methods.  I suggest to your Prof to repeat them using both of my suggested methods. Hi Z CC and low Z CC simulations are given in my previous comment . You can scale the input to be less than 500 mV and max Z(f).

You show no calibration results with known lumped elements to normalize/verify your test fixture.

e.g. (Short, open, Thru: 10 Meg R || 10 pF NPO cap.)

Why is that?

Falstad's site may be down at the moment.