The circuit is wired as follows
vcc --- R1 (1M ohm) ---|Thermistor --- Ground | Voltmeter | Ground
The Thermistor has a resistance of 1M ohm when it is at 25 C. I am around that temperature now and indeed my ohm meter shows it has a resistance around 1M. I am seeing voltage drops of about 1.1V across the resistors but VCC is 3.3V. This blows my mind but I really don't know enough fundamentals to understand how this is the case.
If I switch the voltmeter out for something like an analog pin on an arduino I get very noisy input which does NOT match the voltmeter. On the arduino I am sampling about once a second.
One last point is that the probe I am using is this probe. It seems that grounding the metal sheath might help reduce the noise I am not yet certain.
Improvements to noise. It seems I could benefit from using a capacitor and multisampling to improve the quality of the signal. Information related to my Microcontroller