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. x 1004 975 100 992 65 935 971 920 154 y 40 145 83 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 1000 1000 980 980 960 960 940 940 920: 920 40 60 80 100 120 140 40 60 80 100 120 140 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) 160. 160 140 140 120 120 100 100 80 80 60 60 40 E. 920 940 960 980 1000 40 te 920 940 960 980 1000 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) (maximum wind speed (in miles per hour)) y (maximum wind speed (in miles per hour)) haximum wind speed (in miles per hour) y (maxhnum wind speed ( miles per hour))

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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
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935
971
920
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100
65
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83
154
A USE SALT
(a) Make a scatter diagram of the data and visualize the line you think best fits the data.
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920
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x (lowest pressure (in millibars))
x (lowest pressure (in millibars))
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40 E
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40 오
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x (lowest pressure (in millibars))
x (lowest pressure (in millibars))
A Ao D eolk Dro
y(maximum wind speed (in miles per hour))
y (maximum wind speed (in miles per hour))
y (maximum wind speed (in miles per hour))
y (maxzmum wind speed (in miles per hour)
Transcribed Image Text: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 975 992 935 971 920 40 100 65 145 83 154 A USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 1000 1000 980 980 960 960 940 940 920 920 40 60 80 100 120 140 40 60 80 100 120 140 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) 160 160 140 140 120 120 100 100 80 80 60 60 40 E 920 940 960 980 1000 40 오 920 940 960 980 1000 x (lowest pressure (in millibars)) x (lowest pressure (in millibars)) A Ao D eolk Dro y(maximum wind speed (in miles per hour)) y (maximum wind speed (in miles per hour)) y (maximum wind speed (in miles per hour)) y (maxzmum wind speed (in miles per hour)
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x (lowest pressure (in millibars))
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?
O positive
negative
(c) Use a calculator to verify that x = 5797, x = 5,606,171, y =
= 587, y = 67,455 and xy = 559,988.
%3D
Compute r. (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, y should tend to decrease as x increases.
Given our value of r, y should tend to increase as x increases.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
y (maximum wind speed (in miles
y (maximum wind speed (in m
Transcribed Image Text:120 120 100 100 80 80 60 60 40 40 오 920 940 960 980 1000 920 940 960 980 1000 x (lowest pressure (in millibars)) 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? O positive negative (c) Use a calculator to verify that x = 5797, x = 5,606,171, y = = 587, y = 67,455 and xy = 559,988. %3D Compute r. (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, y should tend to decrease as x increases. Given our value of r, y should tend to increase as x increases. Given our value of r, we can not draw any conclusions for the behavior of y as x increases. y (maximum wind speed (in miles y (maximum wind speed (in m
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