Question: a. Assume (xi; yi), i = 1; 2; : : : ; n are some data points. Let X = [x1; x2; :::; xn] T

a. Assume (xi; yi), i = 1; 2; : : : ; n are some data points. Let X = [x1; x2; :::; xn]^T and Y = [y1; y2; :::; yn]^T. Find the analytical expression for the equation of the line that best fits this dataset. (Simplify as much as you can.) (b) Use the following information to compute the coeffcients: rms(X) = 10; avg(X) = 8; rms(Y ) = 13; avg(Y ) = 12; avg(diag(X)Y ) = 100 (c) Find the analytical expression for the optimal mean squared error and then use the above information to compute its value. (If there is insucient information explain what additional information you need.)

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