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Since time constraints are a very critical aspect of an embedded system, performance evaluation can not be postponed to the end of the design flow, but it has to be introduced since its early stages. Estimation techniques based on mathematical models are usually preferred during this phase since they provide quite accurate estimation of the application performance in a fast way. However, the estimation error has to be considered during design space exploration to evaluate if a solution can be accepted (e.g., by discarding solutions whose estimated time is too close to constraint). Evaluate if the possible error can be significant analyzing a punctual estimation is not a trivial task. In this paper we propose a methodology, based on statistical analysis, that provides a prediction interval on the estimation and a confidence level on meeting a time constraint. This information can drive design space exploration reducing the number of solutions to be validated. The results show how the produced intervals effectively capture the estimation error introduced by a linear model.