Let a = (a,..., an) and y = (y,..., yn) be two vectors. Define the inner...

 

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Let a = (a₁,..., an) and y = (y₁,..., yn) be two vectors. Define the inner product of a and y to be a²y = a₁y₁ + 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 = (ÿ,.…, ÿ)” (that is, ỹ is a vector where every entry is the sample mean of y). Write Σ(y: - y)² as an inner i=1 product of two vectors. Let a = (a₁,..., an) and y = (y₁,..., yn) be two vectors. Define the inner product of a and y to be a²y = a₁y₁ + 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 = (ÿ,.…, ÿ)” (that is, ỹ is a vector where every entry is the sample mean of y). Write Σ(y: - y)² as an inner i=1 product of two vectors.