Assignment:
Meastirements of the response peak amplitudes of a vibrating single-degree-of-freedom system are as follows: x1 = 24.86, x2 = 22.98, x3 = 21.49, x4 = 20.55, x5 = 19.14, x6 = 17.80, x7 = 17.03 and x8 = 15.97. Use the least squares method to determine the "best" viscous damping factor ζ.
Provide complete and step by step solution for the question and show calculations and use formulas.