Data sheet recommends a 1nF capacitor on the output.
Table says a minimum of 1000pF (1nF).
Other devices publish the output resistance to make understanding the device behavior easier.
Data sheet of the ADXL001-70Z module says put your own filter on the output. Or put a shorting resistor on for R1 and use a 22nF cap for C2.
Is there more information on output filter and the effect of the response of the sensor?