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 975 992 935 979 926 y 40 100 65 145 82 153 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help 5101520253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360365370375380385390395400405410415420425430435440445450455460465470475480485490495500505510515520525530535540545550555560565570575580585590595600605610615620625630635640645650655660665670675680685690695700705710715720725730735740745750755760765770775780785790795800805810815820825830835840845850855860865870875880885890895900905910915920925930935940945950955960965970975980985990995100010055101520253035404550556065707580859095100105110115120125130135140145150155 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties. (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 = 5811, x2 = 5,632,847, y = 585, y2 = 66,983 and xy = 559,671. 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, 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. 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

Answer 1

a)

(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

Ans: The points form an approximately a straight line by this the scatter plot. Hence, the correlation is strong. Again from the above scatter plot, increase the value of x, reduces the corresponding value of y and vice-versa. Hence, the correlation is negative.

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