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Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Letx 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. 2.6 4.4 3.3 4.5 2.6 3.2 3.4 4.6 10.4- 11.2 10.0 7.9 3.9 5.5 I USES (a) Make a scatter diagram of the dam. Elail' Then visualize the line you think best ts the data. (b) Use a calculator to verify that Ex : 24.0, 2x2 : 55.32. 2y : 53.5, Eyz : 462.63 and Exy : 191.40. Compube r. (Round your answer to four decimal places.) |:l As x increasa, does the value of 1' imply that y should tend to increase or decrease? Explain your answer. 0 Given our value of r, y should tend to decrease as x increases. 0 Given our value of r, y should tend In increase as x increases. 0 Given our value of r, we can not draw any conclusions for the behavior of y as x increasm. 0 Given our value of r, y should tend In remain constant as x increases. E l