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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. Suppose a random sample of earthquakes gave the following information.


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



Since r is zero, as x increases, y decreases.
Since r is negative, as x increases, y remains the same.
Since r is negative, as x increases, y decreases.
Since r is positive, as x increases, y increases.
Since r is positive, as x increases, y remains the same.

I think it is D

  • statistics -

    Information missing, so I cannot help with the first part.

    Positive correlation indicates that both variables increase and decrease together. A negative correlation indicates one variable increases while the other increases. Thus both the third and fourth choice are correct.

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