The linear regression analysis was used to perform a comparative assessment of the mathematical description of the experimental compaction curves by the new basic equation and the empirical compaction equations proposed by Balshin, Heckel, Kawakita, Panelli–Filho, and Ge. The studies were conducted on a specially compiled representative sample of the mining and metallurgical complex materials, divided into groups in accordance with the technological purpose in metallurgical redistribution. According to the results, the basic compaction equation developed by the authors is characterized by the best indicators of reliability and accuracy, and therefore it is preferable for determining the energy–power characteristics of the compaction process under a pressure of up to 220 MPa. The validity of the interpretation of the constant coefficients of the compaction equations was also evaluated.