Prove that the partitioning estimate defined by (2.1) satisfies (2.8). Hint: Let F be defined by (2.7) and let mn be the partitioning estimate defined by XXXXXXXXXXShow by the aid of Problem 2.1 that,...

Prove that the partitioning estimate defined by (2.1) satisfies (2.8).

Hint: Let F be defined by (2.7) and let mn be the partitioning estimate defined by (2.1). Show by the aid of Problem 2.1 that, for any f ∈ F,

n i=1 |f(Xi) − Yi| 2 = n i=1 |f(Xi) − mn(Xi)| 2 + n i=1 |mn(Xi) − Yi| 2 .