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	982	924
y	40	100	65	145	68	153

Use a calculator to verify that Σx = 5812, Σx² = 5,635,030, Σy = 571, Σy² = 64,883 and Σxy = 545,863.

Compute r. (Round to 3 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, y should tend to remain constant as x increases.

Given our value of r, we can not draw any conclusions for the behavior of y as x increases.

Answer 1