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Magnetic nanoparticles (MNPs) have been proposed as an ultimate solution for diverse applications including nanomedicine and logic devices over decades. However, none has emerged revolutionary because realizing their magnetization response in an assembly is, surprisingly, still elusive. We employ our fast and universal magnetic characterization method, called the projection method, to underlie the reversible (irreversible) magnetization response of several assemblies. We then illustrate how the reversible (irreversible) magnetization response is correlated to the intrinsic properties (the coercivity and interaction fields) of the MNPs in an assembly. Our experimental observations indicate that the reversible magnetization does not solely depend on the interaction field, but it is indeed a function of the interaction field to coercivity ratio. Furthermore, for large porosities, the interaction field linearly changes with the porosity highlighting the predominant effects of dipole-dipole interactions on the interaction fields. However, at low porosities, the interaction field shows a nonlinear relationship with the porosity indicating the dipole fluctuations effects dominantly determine the interaction fields.