STAT444 Lecture Notes - Lecture 7: Cubic Hermite Spline, Design Matrix, Yi I
Document Summary
Express a ncs first fun is a cubic spline. Fca pot pix t rex t p nt ii bj lx eg. Second constraints is linear when x c t. 132 133 0 fca is linear when x tk. Then ncs can be expressed as the som of the basis functions. Nor contently we can writethe ncs as fcx. Nj dj ild d lx j 3 ooo k. Lt x then djcx7 o tie then djk is a quadratic function of x coefficient of o for j 3. 3 linear function of x tf x tk is a. The fixed knot spines such as cubic spline and ncs are called regression splines. Recall yi flexi a concrete example t ei we can approximate fca by ii b nj. Nj"s tegular regression problem generated from the basis functions a p dimensional input kotar xn the following approximation to text generally for.
