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(13)
to the five data points:
With the appropriate adjustments in notation, the matrices M and y in 10 are
Thus, from 11,
From 12 and 13, we have , so the estimated value of g is
If desired, we can also estimate the initial displacement and initial velocity of the weight:
In Figure 9.3.5 we have plotted the five data points and the approximating polynomial.
Figure 9.3.5
Exercise Set 9.3
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Find the least squares straight line fit to the three points (0, 0), (1, 2), and (2, 7).
1.
