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. х 2.9 y 5.4 4.6 3.3 4.5 2.6 3.2 3.4 5.5 10.0 11.2 10.0 7.9 3.9 A USE SALT (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. No Solution O Hale WebAssign. Graphing Tool Then visualize the line you think best fits the data. (b) Use a calculator to verify that Ex = 24.5, Ex2 = 89.27, Ey = 53.9, Ey? = 462.47 and Exy = 195.34. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to increase as x increases.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.

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.
2.9
4.6
3.3
4.5
2.6
3.2
3.4
y
5.4
10.0
11.2
10.0
7.9
3.9
5.5
n USE SALT
(a) Make a scatter diagram of the data.
12
Graph Layers
11
After you add an object to the graph you
can use Graph Layers to view and edit its
10
properties.
Fill
No
Solution
O Help
WebAssign. Graphing Tool
Then visualize the line you think best fits the data.
(b) Use a calculator to verify that Ex = 24.5, Ex? = 89.27, Ey = 53.9, Ey2 = 462.47 and Exy = 195.34.
Compute r. (Round your answer to four decimal places.)
As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
O Given our value of r, y should tend to increase as x increases.
O Given our value of r, y should tend to remain constant as x increases.
O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
O Given our value of r, y should tend to decrease as x increases.
Transcribed Image Text: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. 2.9 4.6 3.3 4.5 2.6 3.2 3.4 y 5.4 10.0 11.2 10.0 7.9 3.9 5.5 n USE SALT (a) Make a scatter diagram of the data. 12 Graph Layers 11 After you add an object to the graph you can use Graph Layers to view and edit its 10 properties. Fill No Solution O Help WebAssign. Graphing Tool Then visualize the line you think best fits the data. (b) Use a calculator to verify that Ex = 24.5, Ex? = 89.27, Ey = 53.9, Ey2 = 462.47 and Exy = 195.34. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. O Given our value of r, y should tend to decrease as x increases.
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