posted by Georgia .
Use a sine regression to determine k, the period of oscillation of this system. State the regression equation and superimpose its graph on that of the data set.
k is not the period. It is the undamped angular frequency, 2 pi/P, where P is the undamped period.
The damping term "b" alters the true period from P by a small amount.
We do not have access to the "data set" you are referring to. Is this part of some sort of lab experiment?
I don't know what a "sine regression" method is, so i could probably not help even if all the facts were presented, and certainly not without a data set..
we do have a data set, it's for an assignment, could you figure out k any other way?