Refer back to the centered simple regression model in Exercise 102.
a. Show that the leverage h_ii, the ith diagonal entry of the hat matrix H, is given by

b. Show that the sum of the leverages in simple regression is 2.
c. Use part (a) and the discussion of H in this section to confirm the following formulas from Sections 12.4 and 12.6:

Exercise 102

Suppose we have bivariate data (x₁, y₁),....,

Transcribed Image Text:

hii 1 n + (x₁ - x)² Sxx