Abstract
This chapter contains some extensions of the multiple linear regression model. See Definition 1.1 for the 1D regression model , sufficient predictor (SP = h(x)), estimated sufficient predictor (\(ESP =\hat{ h}(\mathbf{x})\)), generalized linear model (GLM), and the generalized additive model (GAM). When using a GAM to check a GLM, the notation ESP may be used for the GLM, and EAP (estimated additive predictor ) may be used for the ESP of the GAM. Definition 1.2 defines the response plot of ESP versus Y.
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