Question: Consider the following data collected on a single helical coil extension spring with an initial extension Fi and a spring rate k suspected of being

Consider the following data collected on a single helical coil extension spring with an initial extension Fi and a spring rate k suspected of being related by the equation F = Fi + kx where x is the deflection beyond initial. The data are

(a) Estimate the mean and standard deviation of the initial tension Fi.
(b) Estimate the mean and standard deviation of the spring rate k.

x, in 0.2 0.4 0.6 0.8 1.0 2.0 F, Ibf 7.1 10.3 12. 13.8 16.2 25.2

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