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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. x 3.2 4.0 3.3 4.5 2.6 3.2 3.4 y 5.2 10.3 11.2 10.0 7.9 3.9 5.5 Use a calculator to verify that Σx = 24.2, Σx2 = 85.94, Σy = 54.0, Σy2 = 466.44 and Σxy = 191.52. Compute r. (Round your answer to four decimal places.)

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. x 3.2 4.0 3.3 4.5 2.6 3.2 3.4 y 5.2 10.3 11.2 10.0 7.9 3.9 5.5 Use a calculator to verify that Σx = 24.2, Σx2 = 85.94, Σy = 54.0, Σy2 = 466.44 and Σxy = 191.52. Compute r. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.

x 3.2 4.0 3.3 4.5 2.6 3.2 3.4
y 5.2 10.3 11.2 10.0 7.9 3.9 5.5
Use a calculator to verify that Σx = 24.2, Σx2 = 85.94, Σy = 54.0, Σy2 = 466.44 and Σxy = 191.52.
Compute r. (Round your answer to four decimal places.)
Expert Solution
Step 1

Solution:

x y x2 y2 xy
3.2 5.2 10.24 27.04 16.64
4 10.3 16 106.09 41.2
3.3 11.2 10.89 125.44 36.96
4.5 10 20.25 100 45
2.6 7.9 6.76 62.41 20.54
3.2 3.9 10.24 15.21 12.48
3.4 5.5 11.56 30.25 18.7

n= 7 observation. 

∑x=24.2∑y= 54.0∑x2=85.94∑y2= 466.44∑xy=191.52

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