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A least-squares curve fit of the data in the table to the right led to a best straight line with the equation y = 0.615x 1.35. X=1,2,3,4,6 Y=2,3,4,5 (a) If the y value of a new measurement is 3.75, what are the corresponding x value and the uncertainty in the x value? [The uncertainty in y (sy) is 0.196.] x value =? uncertainty =? (b) Suppose y was measured five times and average of these five measurements was 3.75. What is the uncertainty in x based on these five measurements?

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