4. [-/5.31 Points] DETAILS BBUNDERSTAT12 9.1.016.5. MY NOTES ASK YOUR TEACHER 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. 4.4 y 5.5 10.0 3.3 4.5 11.2 10.0 7.9 3.9 3.4 LO USE SALT (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. 11 10 00 y (depth (in kilometers) y (depth (in kilometers) 4 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 .. 1.5 LO 4.0 y (depth (in kilometers)) 3.5 y (depth (in kilometers)) 3.5 3.0 3.0 254 25 8 9 10 11 5 6 7 8 9 10 11 x (magnitude of an earthquake x (magnitude of an earthquake (on the Richter scale)) (on the Richter scale)) (b) Use a calculator to verify that Ex = 24.0, Ex2 = 85.82, Zy = 54.0, Ey? = 463.56 and Exy - 191.98. Computer. (Round your answer to four 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 remain constant 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 increase as x increases. Given our value of r, y should tend to decrease as x increases