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Relations between variables can take different forms like linearity, piecewise linearity, or non-linearity. Segmented regression analyses (SRA) are specialized statistical methods that detect breaks in the relation between variables. They are commonly used for exploratory analyses. However, many relations may not be best described by a breakpoint, but rather by nonlinearity. In the present simulation study, we examined the application of SRA in the presence of various forms of nonlinearity. We found that moderate and strong degrees of nonlinearity led to a frequent identification of statistically significant breakpoints, clearly indicating that SRA cannot be used for exploratory analyses. We propose alternative statistical methods for exploratory analyses and outline the conditions for a legitimate use of SRA.