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Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. Suppose a random sample of earthquakes gave the following information.   x 2.5 4 3.4 4.4 2.4 y 5.2 10.3 10.8 10.3 8.3 Compute r.

Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. Suppose a random sample of earthquakes gave the following information.   x 2.5 4 3.4 4.4 2.4 y 5.2 10.3 10.8 10.3 8.3 Compute r.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. Suppose a random sample of earthquakes gave the following information.

 

x

2.5

4

3.4

4.4

2.4

y

5.2

10.3

10.8

10.3

8.3


Compute r.

0.013

0.752

–0.752

–0.013

none of these choices

Expert Solution
Step 1

Calculate Correlation Coefficient r without cov(x,y) from the following data

X Y
2.5 5.2
4 10.3
3.4 10.8
4.4 10.3
2.4 8.3

r is given by:

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