Question: Let a = (a,..., an) and y = (y,..., yn) be two vectors. Define the inner product of a and y to be ay

Let a = (a,..., an) and y = (y,..., yn) be two

Let a = (a,..., an) and y = (y,..., yn) be two vectors. Define the inner product of a and y to be ay = ay + A2Y2++anYn. A.1 (a) [5 points] Interpret y as a set of observations of a variable. Find a vector a such that ay is equal to the sample mean of y, i.e., y. A.1 (b) [7 points] Define y = (,., ) (that is, is a vector where every entry is the sample mean of y). Write (y: - y) as an inner i=1 product of two vectors.

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