Question

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	985	922
y	40	100	65	145	85	154

(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 = 5813,

x² = 5,637,239,

y = 589,

y² = 67,791

and

xy = 563,428.

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 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.Given our value of r, y should tend to increase as x increases.

Answer 1

b)

strong ; negative

c)from above:

ΣX =	5813.000
ΣY=	589.000
ΣX2 =	5637239.000
ΣY2 =	67791.000
ΣXY =	563428.000

r =

-0.982

Given our value of r, y should tend to decrease as x increases.