A least-squares curve fit of the data in the table x= 1,3,4,6and 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 3.54, what are the corresponding x value and the uncertainty in the x value?[The uncertainty in y (sy) is 0.196.]

x value = 3.07 uncertainty = +/- ?

(b) Suppose y was measured five times and average of these five measurements was 3.54. What is the uncertainty in x based on these five measurements? = +/- ?