In the arrangement for determining the achievable adhesive strength before forming a connection having material continuity to a surface of a joining partner, a plurality of detectors are present and arranged that are configured for a spatially resolved spectral analysis of electromagnetic radiation within a wavelength interval and are connected to an electronic evaluation unit. They can detect radiation emitted from a broadband radiation source of a reflection incident on the surface of one of the joining partners, and/or after passing through joining partners transparent for the electromagnetic radiation on the detectors. A laterally and temporally homogeneous intensity of the electromagnetic radiation should be observed in this respect. The joining partner is formed from a material that does not 100% absorb the respective electromagnetic radiation and thus a transmission and/or reflection is possible. The electronic evaluation unit is configured such that the measured signals of the detectors detected with spatial resolution and wavelength resolution can be detected within a wavelength interval for individual local points that are arranged on a predefinable surface and measured signals detected at a plurality of positions can be associated with a respective part region of the detected surface (hypercube). A data reduction can be carried out for all measurement signals of the part regions. A statement on a corresponding adhesive strength is achievable using these selected features with a regression model stored in the memory.