The deflection and force are related by F=Kx where the spring rate(spring constant) k is given by
k=(d^4*G)/(8D^3N)
where :-
G is the shear modulus of elasticity
N is the number of active coils

Spring rate:-
A spring’s Spring Rate is the amount of weight required to deflect a spring one inch. The lower the Spring Rate, the softer the spring. The softer the spring, the smoother the ride.
Example:-
If you’re still having trouble, think of it as a fat guy on a mattress.
A fat guy on a soft mattress would sink in pretty far, but a fat guy on a hard concrete-like mattress wouldn’t sink in at all.
We could measure the fat-guy-on-mattress rate by seeing just how fat the fat guy has to be in order for him to sink one inch down.