A least-squares curve fit of the data in the table x= 1,3,4,6 and y= 2,3,4,5 led

Question

A least-squares curve fit of the data in the table x= 1,3,4,6 and y= 2,3,4,5 led to a best straight line with the equation y = 0.615x+1.35

                (a) If the y value of a new measurement is 3.37, 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 3.37. What is the uncertainty in x based on these five measurements?

+/- __?__
     

Explanation / Answer

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