Concept explainers
Physical Sciences
Length of a Pendulum Grandfather clocks use pendulums to keep accurate time. The relationship between the length of a pendulum L. and the time T for one complete oscillation can be determined from the data in the table.* Source: Gary Rockswold.
L(ft) | T(sec) |
1.0 | 1.11 |
1.5 | 1.36 |
2.0 | 1.57 |
2.5 | 1.76 |
3.0 | 1.92 |
3.5 | 2.08 |
4.0 | 2.22 |
(a) Plot the data from the table with L as the horizontal axis and T as the vertical axis.
(b) Find the least squares line equation and graph it simultaneously, if possible, with the data points. Does it seem to fit the data?
*The actual relationship is L = 0.81 T2, which is not a linear relationship. This illustrates that even if the relationship is not linear, a. line can give a good approximation.
(c) Find the
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Finite Mathematics (11th Edition)
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