These assumptions lead naturally to linear least-squares estimation.
Nonparametric regression makes minimal assumptions about the dependence of the average Y on the X's.
There will be some consideration of methods of statistical inference for nonparametric regression, analogous to the methods employed for linear least squares. A background in linear least-squares regression will be assumed. Most of the material will be presented at an elementary mathematical and statistical level. Some of the material on statistical inference requires knowledge of matrix algebra. I will limit this more demanding material to the last lecture.