This communication describes an activity where upper-level chemistry students explore the determinability of rate constant values without concentration dependences (k[subscript true]) related to a solvent-ligand exchange in a transition metal carbonyl complex. By performing a series of multivariable linear regression (MVLR) analyses of experimentally determined rate constant values (k[subscript obsd]), students, in general, were able to grasp the notion that none of the values of the k[subscript true] involved in the described kinetics scenario can be determined individually or collectively with reasonable accuracy due to the existence of linear correlations between the independent variables (solvent concentrations). Moreover, in this inquiry-based activity, coins were used as manipulatives to show the proof of concept that MVLR can still provide reliable individual k[subscript true] values when the correlation between the independent variables is removed.