A USE SALT y thatEr - s801, - 5613,547, y - 575, E - 64,543 and y - 549,281. or decrease? Explain your answer. as x increases. ymaximum wind speed in miles per hour) ymaximum wind speed din miles per houri) (Lanoy ad sagu up paads pu unuprun y maximum wind speed in miles per hour)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cydone? 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 975 992 935 971 924
y 40 100 65 145 78
147
A USE SALT
(a) Make a scatter diagram ofr the data and visualize the line you think best fits the data.
* 140
1000
140
1000
120-
120
100
100
80
80
940
60
940
E 60
40
40e.
920li
40
920
40
60
80
100
120
140
940
960
980
1000
60
80
100
120
140
940
960
980
1000
x (lowest pressure (in millibars)
x (lowest pressure (in millibars)
x (lowest pressure (in millibars))
x (lowest pressure (in millibars)
(b) Would you say the correlation is low, moderate, or strong?
O low
O moderate
O strong
Would you say the correlation is positive or negative?
O positive
O negative
(C) Use a calculator to verity thatx - 5801, - 5,613,547, E- 575, E- 64,543 and xy - 549,281.
Compute r. (Round your answer to four decimal places.)
O
As x increases, does the value ofr imply that y should tend to increase or decrease? Explain your answer.
O Given our value of r, y should tend to decrease as x increases.
O Given our value of r, we can not draw any condusions for the behavior of y as x increases.
O Given our value of r, y should tend to remain constant as x increases.
O Given our value of r, y should tend to increase as x increases.
Transcribed Image Text:Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cydone? 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 975 992 935 971 924 y 40 100 65 145 78 147 A USE SALT (a) Make a scatter diagram ofr the data and visualize the line you think best fits the data. * 140 1000 140 1000 120- 120 100 100 80 80 940 60 940 E 60 40 40e. 920li 40 920 40 60 80 100 120 140 940 960 980 1000 60 80 100 120 140 940 960 980 1000 x (lowest pressure (in millibars) x (lowest pressure (in millibars) x (lowest pressure (in millibars)) x (lowest pressure (in millibars) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (C) Use a calculator to verity thatx - 5801, - 5,613,547, E- 575, E- 64,543 and xy - 549,281. Compute r. (Round your answer to four decimal places.) O As x increases, does the value ofr imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, we can not draw any condusions for the behavior of y as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, y should tend to increase as x increases.
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Swokowski
Publisher:
Cengage