Hat Matrix Elements Proof
Along the way I present the proo.
Hat matrix elements proof. This implies that Hu u because a projection matrix is idempotent. But the first column of X is all ones. Active 1 year 7 months ago.
The hat matrix H is defined in terms of the data matrix X. The hat matrix for two values. This system of his yellow wallflowers a fair project a number of quadratic term above are called the hat matrix properties proof proves the proof.
0 h i i 1. 0 h2ij 025 where i j. The matrix H is called the hat matrix because it maps the vector of observed values into a vector of fitted values.
The diagonal elements of the projection matrix are the leverages which describe the influence each response value has on the fitted value for that. Further assume that Eϵi 0 and varϵi σ2 i. See some derivations properties proof matrix.
I understand that the trace of the projection matrix also known as the hat matrix XInv XXX in linear regression is. I prove these results. Denote it by u.
The only criticism I have of their style is that they dont use the hat. HHMDS is a Master Franchisee of a leading International Hotel Brand. I know that for diagonal elements we have.