When the student moves the end of the compressed coiled spring faster while keeping everything else the same, the characteristic that will increase is frequency.
Frequency is defined as the number of complete wave cycles that pass a point in a given amount of time. By moving the end of the spring faster, the student produces more wave cycles in the same period of time, thereby increasing the frequency.
The other options, such as wavelength and amplitude, do not necessarily increase in this scenario. In fact, increasing the speed of oscillation can lead to a shortening of the wavelength if the wave speed remains constant. Thus, the correct answer is frequency.
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