In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak acceleration (in m/s2) were recorded for five earthquakes. The results are presented in thefollowing table. Velocity 1.54 1.60 0.95 1.30 2.92 Acceleration 7.64 8.04 8.04 6.37 5.00 a. Compute the correlation coefficient between peak velocity and peak acceleration. b. Construct a scatterplot for these data. c. Is the correlation coefficient an appropriate summary for these data? Explain why or why not. 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/s2) were recorded for five earthquakes. The results are presented in thefollowing table. Velocity 1.54 1.60 0.95 1.30 2.92 Acceleration 7.64 8.04 8.04 6.37 5.00 a. Compute the correlation coefficient between peak velocity and peak acceleration. b. Construct a scatterplot for these data. c. Is the correlation coefficient an appropriate summary for these data? Explain why or why not. d. Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Thank you very much for answering me. Can you please answer the c & d sub parts.

5. In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak acceleration (in m/s2) were recorded for five earthquakes. The results are presented in thefollowing table.

Velocity 1.54 1.60 0.95 1.30 2.92
Acceleration 7.64 8.04 8.04 6.37 5.00

a. Compute the correlation coefficient between peak velocity and peak acceleration.
b. Construct a scatterplot for these data.
c. Is the correlation coefficient an appropriate summary for these data? Explain why or why not.
d. Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation?

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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