Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, letxbe the lowest pressure (in millibars) as a cyclone approaches, and letybe the maximum wind speed (in miles per hour) of the cyclone.

x 1004,975,992,935,989,934

y 40,100,65,145,82,147

(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?

Would you say the correlation is positive or negative?

(c) Use a calculator to verify thatx=5829,x²=5,667,407,y=579,y²=65,183

andxy=556,111.

Computer. (Round your answer to three decimal places.)

Asxincreases, does the value ofrimply thatyshould tend to increase or decrease? Explain your answer.

Given our value ofr, we can not draw any conclusions for the behavior ofyasxincreases.

Given our value ofr,yshould tend to decrease asxincreases.

Given our value ofr,yshould tend to remain constant asxincreases.

Given our value ofr,yshould tend to increase asxincreases.