Question

Is the magnitude of an earthquake related to the depth below the surface at which 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 3.0 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 Σx = 24.4, Σx2 = 88.06, Σy = 53.2, Σy2 = 454.36 and Σxy = 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.

Homework Answers

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.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Is the magnitude of an earthquake related to the depth below the surface at which 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 4.5 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...
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...
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...
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...
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...
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...
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...
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...
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...
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...