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
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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