Question

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 |
3.0 | 4.4 | 3.3 | 4.5 | 2.6 | 3.2 | 3.4 |

y |
4.8 | 9.9 | 11.2 | 10.0 | 7.9 | 3.9 | 5.5 |

(a) Make a scatter diagram of the data.

Then visualize the line you think best fits the data.

(b) Use a calculator to verify that Σ*x* = 24.4,
Σ*x*^{2} = 88.06, Σ*y* = 53.2,
Σ*y*^{2} = 454.36 and Σ*xy* = 191.64.

Compute *r*. (Round to 3 decimal places.)

As *x* increases, does the value of *r* imply that
*y* should tend to increase or decrease? Explain your
answer.

Given our value of *r*, *y* should tend to
increase as *x* increases.Given our value of *r*,
*y* should tend to decrease as *x*
increases. Given our value of *r*, we
can not draw any conclusions for the behavior of *y* as
*x* increases.Given our value of *r*, *y*
should tend to remain constant as *x* increases.

Answer #1

X | Y | X * Y | |||

3 | 4.8 | 14.4 | 9 | 23.04 | |

4.4 | 9.9 | 43.56 | 19.36 | 98.01 | |

3.3 | 11.2 | 36.96 | 10.89 | 125.44 | |

4.5 | 10 | 45 | 20.25 | 100 | |

2.6 | 7.9 | 20.54 | 6.76 | 62.41 | |

3.2 | 3.9 | 12.48 | 10.24 | 15.21 | |

3.4 | 5.5 | 18.7 | 11.56 | 30.25 | |

Total | 24.4 | 53.2 | 191.64 | 88.06 | 454.36 |

r = 0.505

Given our value of *r*, *y* should tend to
increase as *x* increases.

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
3.4
4.5
3.3
4.5
2.6
3.2
3.4
y
4.8
9.8
11.2
10.0
7.9
3.9
5.5
Then visualize the line you think best fits the data.
(b) Use a calculator to verify that...

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
2.9
4.4
3.3
4.5
2.6
3.2
3.4
y
4.9
10.3
11.2
10.0
7.9
3.9
5.5
(a) Make a scatter diagram of the data.
Submission Data
Then visualize the line you think best...

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
3.0
4.7
3.3
4.5
2.6
3.2
3.4
y
5.0
9.7
11.2
10.0
7.9
3.9
5.5
(a) Make a scatter diagram of the data.
Then visualize the line you think best fits the...

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 2.6
4.5 3.3 4.5 2.6 3.2 3.4 y 4.6 10.4 11.2 10.0 7.9 3.9 5.5
(a) Make a scatter diagram of the data. Then visualize the line
you think best fits the...

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
3.4
4.3
3.3
4.5
2.6
3.2
3.4
y
4.5
9.5
11.2
10.0
7.9
3.9
5.5
(a) Make a scatter diagram of the data.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal...

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
3.0
4.0
3.3
4.5
2.6
3.2
3.4
y
5.5
10.0
11.2
10.0
7.9
3.9
5.5
Then visualize the line you think best fits the data.
(b) Use a calculator to verify that...

s 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
4.2 3.3 4.5 2.6 3.2 3.4 y 4.9 9.9 11.2 10.0 7.9 3.9 5.5 (a) Make a
scatter diagram of the data. Selection Tool Line Ray Segment Circle
Vertical Parabola Horizontal...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
37
72
y
40
35
30
28
17
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
(b) Would you say the correlation is low, moderate, or strong?
positive or negative?
low and positivemoderate and
negative strong and positivestrong and
negativelow...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
38
73
y
40
35
30
25
20
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
(b) Would you say the correlation is low, moderate, or strong?
positive or negative?
low and negativemoderate and
positive strong and negativestrong and
positivelow...

Let x be the average number of employees in a group
health insurance plan, and let y be the average
administrative cost as a percentage of claims.
x
3
7
15
30
71
y
40
35
30
27
17
(a) Make a scatter diagram of the data and visualize the line
you think best fits the data.
(b) Would you say the correlation is low, moderate, or strong?
positive or negative?
strong and positivelow and
positive moderate and positivestrong
and negativelow...

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