he 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. x2.5 5.2 3.3 10.1 11.2 10.0 4.3 4.5 2.6 3.2 3.4 7.9 3.9 5.5 A USE SALT Make a scatter diagram of the data. Then visualize the line you think best fits the data. 4.0 4.0 3.5 3.5 3.0 3.0 2.5 2.5 3.0 3.5 4.0 4.5 3.0 3.5 4.0 4.5 4 5 6 10 11 4 5 6 10 11 x (magnitude of an earthquake x (magnitude of an earthquake x (magnitude of an earthquake X(magnitude of an earthquake (on the Richter scale) (on the Richter scale) (on the Richter scale) (on the Richter scale) Use a caloulator to verify that Ex - 23.8, Ex - 84.44, Ey - 53.8, y- 462.36 and Exy - 190.11. 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 remain constant as x increases. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. ((sagauo up udapi ydepth cin kilometers)) y (depth (in kilometers) y(depth (in kilometers)
he 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. x2.5 5.2 3.3 10.1 11.2 10.0 4.3 4.5 2.6 3.2 3.4 7.9 3.9 5.5 A USE SALT Make a scatter diagram of the data. Then visualize the line you think best fits the data. 4.0 4.0 3.5 3.5 3.0 3.0 2.5 2.5 3.0 3.5 4.0 4.5 3.0 3.5 4.0 4.5 4 5 6 10 11 4 5 6 10 11 x (magnitude of an earthquake x (magnitude of an earthquake x (magnitude of an earthquake X(magnitude of an earthquake (on the Richter scale) (on the Richter scale) (on the Richter scale) (on the Richter scale) Use a caloulator to verify that Ex - 23.8, Ex - 84.44, Ey - 53.8, y- 462.36 and Exy - 190.11. 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 remain constant as x increases. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. ((sagauo up udapi ydepth cin kilometers)) y (depth (in kilometers) y(depth (in kilometers)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 12DE
Related questions
Question
Transcribed Image Text:Is the magnitude of an earthquake related to the depth below the surface at which the quake ocours? 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.
2.5
5.2
4.3
3.3
4.5
2.6
3.2
3.4
10.1
11.2
10.0
7.9
3.9
5.5
A USE SALT
(a) Make a scatter diagram of the data. Then visualize the line you think best fits the data.
LLL
10
35
3.0
3.0
25
3.0
3.5
4.0
4.5
25
3.0
3.5
4.0
4.5
4
5
6
7
9
10
11
4
5
9
10
11
X(magnitude of an earthquake
X(magnitude of an earthquake
x (magnitude of an earthquake
x (magnitude of an earthquake
(on the Richter seale))
(on the Richter scale))
(on the Richter scale)
(on the Richter scale))
(b) Use a calculator to verify that Ex - 23.8, Ex? - 84.44, Ey - 53.8, Ey - 462.36 and Exy - 190.11.
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 remain constant as x increases.
O Given our value of r, y should tend to increase as x increases.
O Given our value of r, y should tend to decrease as x increases.
O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
((SJajawo up adap)k
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