Method for determining mechanical properties (J f) of a first rolled material, produced in a rolling mill, using a hybrid model, on the basis of a production dataset (P f) of the first rolled material, the hybrid model comprising - production datasets (P i) of further rolled materials, produced in the rolling mill, from a first quantity (I 1) that each have available corresponding sampling datasets (B i), comprising the mechanical properties of the further rolled materials ascertained by means of a sampling device after production in the rolling mill, - a physical production model comprising a set of metallurgical model parameters (y), for ascertaining -- a first mechanical dataset (C f), comprising the mechanical properties (J f) of the first rolled material after production in the rolling mill, -- a further production dataset (F f), comprising further production data of the first rolled material during production in the rolling mill, -- and a metallurgical dataset (K f), comprising metallurgical properties of the first rolled material during production in the rolling mill, and - a trained and validated statistical data model for ascertaining a second mechanical dataset (S f), comprising the mechanical properties of the first rolled material after production in the rolling mill, wherein the method comprises a first, a second, a third and a fourth step (S1, S2, S3, S4), wherein - the first step involves ascertaining the first mechanical dataset (C f), the further production dataset (F f) and the metallurgical dataset (K f) of the first rolled material from the production dataset (P f) of the first rolled material by means of the physical production model, - the second step involves ascertaining the second mechanical dataset (S f) of the first rolled material from the production dataset (P f), the further production dataset (F f) and the metallurgical dataset (K f) of the first rolled material by means of the statistical data model, - the third step involves determining for the production dataset (P f) of the first rolled material an averaged normalized distance value (d f,m) in relation to a number (n) of production datasets (P i) of the further rolled materials, and - the fourth step involves using the averaged normalized distance value (d f,m) to ascertain the mechanical properties (J f) of the first rolled material as a weighted average from the first and second mechanical datasets (C f, S f), the quotients of the mutually corresponding values of the second and first mechanical datasets (S f, C f) being weighted in proportion to the averaged normalized distance value (d f,m). - production datasets (P i) of further rolled materials, produced in the rolling mill, from a first quantity (I 1) that each have available corresponding sampling datasets (B i), comprising the mechanical properties of the further rolled materials ascertained by means of a sampling device after production in the rolling mill, - a physical production model comprising a set of metallurgical model parameters (y), for ascertaining -- a first mechanical dataset (C f), comprising the mechanical properties (J f) of the first rolled material after production in the rolling mill, -- a further production dataset (F f), comprising further production data of the first rolled material during production in the rolling mill, -- and a metallurgical dataset (K f), comprising metallurgical properties of the first rolled material during production in the rolling mill, and -- a first mechanical dataset (C f), comprising the mechanical properties (J f) of the first rolled material after production in the rolling mill, -- a further production dataset (F f), comprising further production data of the first rolled material during production in the rolling mill, -- and a metallurgical dataset (K f), comprising metallurgical properties of the first rolled material during production in the rolling mill, and - a trained and validated statistical data model for ascertaining a second mechanical dataset (S f), comprising the mechanical properties of the first rolled material after production in the rolling mill, - the first step involves ascertaining the first mechanical dataset (C f), the further production dataset (F f) and the metallurgical dataset (K f) of the first rolled material from the production dataset (P f) of the first rolled material by means of the physical production model, - the second step involves ascertaining the second mechanical dataset (S f) of the first rolled material from the production dataset (P f), the further production dataset (F f) and the metallurgical dataset (K f) of the first rolled material by means of the statistical data model, - the third step involves determining for the production dataset (P f) of the first rolled material an averaged normalized distance value (d f,m) in relation to a number (n) of production datasets (P i) of the further rolled materials, and - the fourth step involves using the averaged normalized distance value (d f,m) to ascertain the mechanical properties (J f) of the first rolled material as a weighted average from the first and second mechanical datasets (C f, S f), the quotients of the mutually corresponding values of the second and first mechanical datasets (S f, C f) being weighted in proportion to the averaged normalized distance value (d f,m).