Use Problem 13.4 to define consistent least squares estimates using piecewise polynomials with respect to data-dependent partitions, where the partitions are: (a) cubic partitions with data-dependent...

Use Problem 13.4 to define consistent least squares estimates using piecewise polynomials with respect to data-dependent partitions, where the partitions are:

(a) cubic partitions with data-dependent grid size;

(b) statistically equivalent blocks; and

(c) defined via nearest neighbor clustering.