What is the best way of showing this? ISMWIC

It shows up in daily data, monthly, seasonal, and even annual data.

Here's an example. URBANA Illinois station USC00118740   map coordinates 40.0839  -88.2403

Declining temps at this location always mean more snow

 

Rising temps

This relationship shows up monthly, even annually

For good measure, 100 years of data

ISMWIC

It snows more when it is cold