In Section 2.3.1 we showed the sum of squares decomposition for the null model E(yi) = ????,

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In Section 2.3.1 we showed the sum of squares decomposition for the null model E(yi) = ????, i = 1,…, n. Suppose you have n = 2 observations.

a. Specify the model space C(X) and its orthogonal complement, and find PX and (I − PX).

b. Suppose y1 = 5 and y2 = 10. Find ????̂ and ????̂ . Show the sum of squares decomposition, and find s. Sketch a graph that shows y, ????̂ , C(X), and the projection of y to ????̂ .

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