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 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 data.

(b) Use a calculator to verify that Σx = 24.1, Σx2 = 86.71, Σy = 53.5, Σy2 = 462.63 and Σxy = 192.44. 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 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. Given our value of r, y should tend to increase as x increases

Answer 1

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