In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak acceleration (in m/s?) were recorded for five earthquakes. The results are presented in the following table. Velocity 1.54 1.60 0.95 1.30 2.92 7.64 8.04 8.04 6.37 3.25 Acceleration Compute the correlation coefficient between peak velocity and peak acceleration. a. b. Construct a scatterplot for these data. Is the correlation coefficient an appropriate summary for these data? Explain why or why not. C. d. Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation?
In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak acceleration (in m/s?) were recorded for five earthquakes. The results are presented in the following table. Velocity 1.54 1.60 0.95 1.30 2.92 7.64 8.04 8.04 6.37 3.25 Acceleration Compute the correlation coefficient between peak velocity and peak acceleration. a. b. Construct a scatterplot for these data. Is the correlation coefficient an appropriate summary for these data? Explain why or why not. C. d. Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation?
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
Transcribed Image Text:In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak
acceleration (in m/s?) were recorded for five earthquakes. The results are presented in the
following table.
Velocity
1.54 1.60 0.95 1.30 2.92
7.64 8.04 8.04 6.37 3.25
Acceleration
Compute the correlation coefficient between peak velocity and peak acceleration.
a.
b.
Construct a scatterplot for these data.
Is the correlation coefficient an appropriate summary for these data? Explain why or
why not.
C.
d.
Someone suggests converting the units from meters to centimeters and from seconds to
minutes. What effect would this have on the correlation?
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