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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 975 992 935 989 928 y 40 100 65 145 80 147   (a) Make a scatter diagram of the data and visualize the line you think best fits the data.   (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 = 5823,         x2 = 5,656,235,         y = 577,         y2 = 64,859  and         xy = 553,251   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 increase 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

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 975 992 935 989 928 y 40 100 65 145 80 147   (a) Make a scatter diagram of the data and visualize the line you think best fits the data.   (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 = 5823,         x2 = 5,656,235,         y = 577,         y2 = 64,859  and         xy = 553,251   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 increase 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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
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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 975 992 935 989 928
y 40 100 65 145 80 147

 

(a) Make a scatter diagram of the data and visualize the line you think best fits the data.

 

(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 = 5823, 
   
 
 
x2 = 5,656,235, 
   
 
 
y = 577, 
   
 
 
y2 = 64,859
 and 
   
 
 
xy = 553,251
 
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 increase 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.
 
Given our value of r, y should tend to remain constant as x increases.
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