In the general additive regression model, the mean value of y for fixed x₁, x₂, ... xk values is α + β₁ + β₂ + ... + βk.

Question

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In the general additive regression model, the mean value of y for fixed values of x1, x2, ..., xk is modeled as a sum of functions of each predictor variable, not as a linear sum of the predictor variables themselves. The correct form would involve functions of the predictors (e.g., f1(x1), f2(x2), ..., fk(xk)), not just linear coefficients (β) multiplied by the predictors.

In the General Additive Regression Model, the Mean Value of Y