8. In a hypothetical experiment, a spring is hung vertically with the top end fixed, and weights are hung one at a time from the other end. After each weight is hung, the length of the spring is measured. The following table presents the results of the hypothetical experiment.
Measured lengths of a spring under various loads
The equation of the least-squares line is y =
x. Substituting the computed values for
(unloaded length of the spring) and
(spring constant), we obtain y = 4.9997 + 0.2046x.
(a) Compute the standard deviations of
and
. The standard deviation of
is (M). The standard deviation of
is__(L)__.