For the data points in Exercise 5.5.9, determine the plane z = + x + y
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For the data points in Exercise 5.5.9, determine the plane z = α + βx + γy that fits the data in the least squares sense when the errors are weighted according to the reciprocal of the distance of the point (xi, yi, zi) from the origin.
Data From Exercise 5.5.9
For the data points
(a) Determine the best plane z = a + bx + cy that best fits the data in the least squares sense;
(b) How would you answer the question in part (a) if the plane were constrained to go through the point x = 2, y = 2, z = 0?
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