Consider the least-squares problem. (a) Suppose that a single new measurement produces a y value of 2.58.

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Consider the least-squares problem.
(a) Suppose that a single new measurement produces a y value of 2.58. Find the corresponding x value and its uncertainty.
(b) Suppose you measure y four times and the average is 2.58.
Calculate the uncertainty based on four measurements, not one.
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