Evolutionary processes in the manufacturing engineering, associated with sustainable machining and sustainable manufacturing of products, require optimizing the structure of technological routes at parts manufacture, choosing rational cutting modes, and increasing productivity while reducing costs and maintaining high product quality of product. Materials with special physical and mechanical properties (corrosion resistance in various environments, heat resistance, and high strength) are widely used in different machines and mechanisms. On the other hand, these materials are difficult-to-cut and require more efforts and skills to assure the regulated quality parameters of products. In this paper the comprehensive research of the influence of cutting modes parameters: feed per spindle revolution S0, cutting depth t, rotary speed n at turning of the samples made of EI702 steel (36NKhTYu) on the basis of the implementation of a full factor experiment at Lviv Polytechnic National University. Empirical dependencies obtained by mathematical planning of a production experiment allow predicting the values of geometric parameters of products quality in the range of changes in important cutting modes during turning. The developed computer program Roughness Plot Analyzer improves the quality, accuracy, and speed of processing profile graphs during scientific research. Further research in this direction will be extended to a wider range of materials and other methods of parts machining by cutting.