Without the resistor to ground it will read 5V all the time. The Arduino has a high impedance input, and will draw next to no current. Without current flow, there will be no voltage dropped across he FSR and nothing to measure. The resistor to ground provides a current path. It’s called a voltage divider.
If you were adding the resistor in series with the input, then it would increase the input impedance. However, the voltage divider resistor is effectively in parallel with the input, which lowers the impedance. The FSR hookup guide at https://learn.sparkfun.com/tutorials/fo … okup-guide explains how to choose a resistor.