A student investigates the motion of a conical pendulum consisting of a small bob of mass \(m\) attached to a light string of length \(L\). The bob moves at a constant speed in a horizontal circular path such that the string makes a constant angle \(\theta\) with the vertical. The student measures the period of revolution \(T\) for several different values of \(\theta\) while keeping \(L\) constant. In order to produce a linear graph whose slope \(S\) can be used to determine the acceleration due to gravity \(g\), which quantities should be plotted on the vertical and horizontal axes, and what is the correct expression for \(g\) in terms of \(S\) and \(L\)?