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In regression problems, some of the most important goals are (i) to obtain a lower prediction error, and (ii) to interpret regression relationships. Friedman's Multivariate Adaptive Regression Splines (MARS) method which constructs basis functions with interaction effects is a very powerful data-driven technique in the viewpoint of (i), and the single tree-based structure built by MARS contributes to approach to (ii). Also, to address (i) and (ii), the better estimation and variable selectiondoi:10.5023/jappstat.36.99 fatcat:otxbo7wqkfbe5n744kqcgchsxy