Question: 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

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.

L (ft) 1.0 1.5 2.0 2.5 3.0 3.5 4.0 T (sec) 1.11

(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?

L (ft) 1.0 1.5 2.0 2.5 3.0 3.5 4.0 T (sec) 1.11 1.36 1.57 1.76 1.92 2.08 2.22

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