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Binscatter is very popular in applied microeconomics. It provides a flexible, yet parsimonious way of visualizing and summarizing ?big data? in regression settings, and it is often used for informal testing of substantive hypotheses such as linearity or monotonicity of the regression function. This paper presents a foundational, thorough analysis of binscatter: We give an array of theoretical and practical results that aid both in understanding current practices (that is, their validity or lack thereof) and in offering theory-based guidance for future applications. Our main results include ...