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 3.7 3.3 4.5 2.6 3.2 3.4 y 4.6 9.7 11.2 10.0 7.9 3.9 5.5 In USE SALT (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. 11 11 00 y (depth (in kilometers)) y (depth (in kilometers)) 3.0 3.5 4.0 4.5 3.0 3.5 4.0 4.5 x (magnitude of an earthquake x (magnitude of an earthquake O (on the Richter scale)) (on the Richter scale)) 1.5 4.5 4.0 4.0 y (depth (in kilometers)) 3.5 y (depth (in kilometers)) 3.5 3.01 3.0 2.5 2.5 4 5 6 7 8 9 10 11 4 5 6 8 9 10 11 x (magnitude of an earthquake x (magnitude of an earthquake O (on the Richter scale)) (on the Richter scale)) (b) Use a calculator to verify that Ex = 23.6, Ex2 = 81.80, Zy = 52.8, Ey = 448.56 and Exy = 182.91. Computer. (Round your answer to four decimal places.)