The sum and the product of the roots of a quadratic equation are 16/3 and -4,Respectively, Find the equation on the following
A.3x^2+20x-4=0
B.3x^2-20x-4=0
C.3x^2+16x-12=0
D.3x^2-16x-12=0
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Answer:
We propose a new penalized likelihood method for model selection and nonparametric regression in exponential families. In the framework of smoothing spline ANOVA, our method employs a regularization with the penalty functional being the sum of the reproducing kernel Hilbert space norms of functional com-ponents in the ANOVA decomposition. It generalizes the LASSO in the linear regression to the nonparametric context, and conducts component selection and smoothing simultaneously. Continuous and categorical variables are treated in a unified fashion. We discuss the connection of the method to the traditional smooth-ing spline penalized likelihood estimation. We show that an equivalent formulation of the method leads naturally to an iterative algorithm. Simulations and examples are used to demonstrate the performances of the method.
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