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 975 992 935 976 928

y 40 100 65 145 75 146

(b) Use a calculator to verify that Σx = 5810, Σx² = 5,630,690, Σy = 571, Σy² = 63,791 and Σxy = 546,403.

Compute R (round to 3 decimal places)

Answer 1

For the given question we van apply simple linear regression where

Y = B + A*X

we will estimate A and B

See the below images, calculation has been done on Excel:

in the below image of excel sheet:

8th row contains the sum of above column that is (row 2 to row 7)

9th row contains the average of above column(value from row 2 to row 7)

Please rate the answer. Thank you