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 975 992 935 977 924 y 40 100 65 145 78 153 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.   Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (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 = 5807,          x2 = 5,625,235,          y = 581,          y2 = 66,343  and          xy = 555,293.  Compute r. (Round your answer to three 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 increase as x increases. 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, we can not draw any conclusions for the behavior of y as x increases.

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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.

x 1004 975 992 935 977 924
y 40 100 65 145 78 153
(a) Make a scatter diagram of the data and visualize the line you think best fits the data. 

 
Flash Player version 10 or higher is required for this question. 
You can get Flash Player free from Adobe's website.

 

(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 = 5807, 
   
 
 
x2 = 5,625,235, 
   
 
 
y = 581, 
   
 
 
y2 = 66,343
 and 
   
 
 
xy = 555,293.
 

Compute r. (Round your answer to three 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 ry should tend to increase as x increases.
Given our value of ry should tend to remain constant as x increases.   
 Given our value of ry should tend to decrease as x increases.
Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
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