Using Linear Regression: Background: Atlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low-pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth’s oceans, it is expected that the strength of hurricanes will increase. Note: Use equation provided by the graph 1. How much of the variation in the dependent variable can be explained by the independent variable using the linear regression equation? 2. What is the correlation coefficient of the relationship? (Round to three decimal places) 3. What is the expected maximum sustained wind speed (in knots) of a hurricane that maintains a central pressure of 930mb? 4. Suppose a maximum sustained wind speed of 140kts was measured during an Atlantic landfalling hurricane. What is the expected central pressure driving this wind speed?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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Using Linear Regression:

Background: Atlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low-pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth’s oceans, it is expected that the strength of hurricanes will increase.

Note: Use equation provided by the graph

1. How much of the variation in the dependent variable can be explained by the independent variable using the linear regression equation?

2. What is the correlation coefficient of the relationship?

(Round to three decimal places)

3. What is the expected maximum sustained wind speed (in knots) of a hurricane that maintains a central pressure of 930mb?

4. Suppose a maximum sustained wind speed of 140kts was measured during an Atlantic landfalling hurricane. What is the expected central pressure driving this wind speed?

 

Regression Plot
y=942.196-0.884*x
R^2=0.768
ee oe
900
920
940
960
980
1000
Independent Variable (x)
Dependent Variable (y)
08
120
09%
Transcribed Image Text:Regression Plot y=942.196-0.884*x R^2=0.768 ee oe 900 920 940 960 980 1000 Independent Variable (x) Dependent Variable (y) 08 120 09%
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