1 MATH205 - Chapter 9 Test 3. [-/5.31 Points] DETAILS BBUNDERSTAT12 9.1.015.MIS. MY NOTES ASK YOUR TEACHER Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. 1004 975 992 935 989 924 40 100 65 145 79 154 LA USE SALT a) Make a scatter diagram of the data and visualize the line you think best fits the data. 1000 in miles p d speed (in miles per hour 8 8 8 8 8 8 y (maximum wind speed (in miles per hour) 960 940 940 y (maximum wind s y (maximum wind s 920 920 100 120 140 80 100 120 140 960 980 1000 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) 160 120 ytmaximum wind speed (in miles per hour) 940 960 980 1000 x (lowest pressure (in millibars)) (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 5819, > x2 - 5,648,827, > > - 583, > >2 - 66,807 and > xy = 558,142. 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, we can not draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to decrease as x in 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. MacBook Air