Unformatted text preview: W is the error. W and S are independent. Find the least square estimate of S given the value y of Y . 3. [10 pts] A weighing machine always overestimates the weight of a person by an amount that is uniformly distributed between 0 and 5 lb. Assume that the weight distribution of people in a community is uniform between 100 and 200 lb. Find the linear least square estimate of the weight of a person based on the reading of the weighing machine. 4. [5 + 10 = 15 pts] Suppose X and Y have joint PDF f X,Y ( x, y ) = 25 e-5 y , ≤ x ≤ y < ∞ . Find (a) the least square estimate of X based on Y and (b) linear least square estimate of X based on Y . 1...
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- Fall '08
- Probability theory, 10 pts, 15 pts, 200 lb, 5 lb