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It is generally difficult to make any statements about the expected prediction error in an univariate setting without further knowledge about how the data were generated.
Classical and inverse regression methods of calibration in extrapolation
Richard G Krutchkoff · 1969
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Estimation of a linear function for a calibration line; consideration of a recent proposal
Joseph Berkson · 1969
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Estimation of Dependences Based on Empirical data
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Training with noise is equivalent to Tikhonov regularization
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UCI Machine Learning Repository, 2013
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Joris M Mooij, Dominik Janzing, Jakob Zscheischler, and Bernhard Schölkopf · 2015
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Distinguishing cause from effect using observational data: Methods and benchmarks
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