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 to the right. a. Find the least squares line equation and graph it simultaneously with the data points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the data? b. Find the correlation coefficient and interpret it. Does it confirm your answer to part a? L (ft) T (sec) 1.0 1.13 1.5 1.36 2.0 1.57 2.5 1.76 3.0 1.92 3.5 2.08 4.0 2.22
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 to the right. a. Find the least squares line equation and graph it simultaneously with the data points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the data? b. Find the correlation coefficient and interpret it. Does it confirm your answer to part a? L (ft) T (sec) 1.0 1.13 1.5 1.36 2.0 1.57 2.5 1.76 3.0 1.92 3.5 2.08 4.0 2.22
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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 to the right.
a. Find the least squares line equation and graph it simultaneously with the data points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the data?
b. Find the correlation coefficient and interpret it. Does it confirm your answer to part
a?
|
L (ft)
|
T (sec)
|
|
|---|---|---|
|
1.0
|
1.13
|
|
|
1.5
|
1.36
|
|
|
2.0
|
1.57
|
|
|
2.5
|
1.76
|
|
|
3.0
|
1.92
|
|
|
3.5
|
2.08
|
|
|
4.0
|
2.22
|
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