4. Scientists have studied the factors that affect the wind speed of hurricanes, and they have focused specifically on central pressure as one variable that is related to wind speed. It turns out that hurricanes develop low pressure at their centers. This leads to moist air being pulled in, and the moist air affects the rotation of the hurricanes. Ultimately, this rotation will generate high winds. Central pressure is measured in millibars and wind speed is measured in knots. The regression equation to predict the maximum wind speed of a hurricane based on central pressure is given below: Predicted maximum wind speed = 955.27 – 0.897 (central pressure) Which one of the following statements is a correct interpretation of this regression equation?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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4. Scientists have studied the factors that affect the wind speed
of hurricanes, and they have focused specifically on central
pressure as one variable that is related to wind speed. It
turns out that hurricanes develop low pressure at their
centers. This leads to moist air being pulled in, and the
moist air affects the rotation of the hurricanes. Ultimately,
this rotation will generate high winds. Central pressure is
measured in millibars and wind speed is measured in knots.
The regression equation to predict the maximum wind
speed of a hurricane based on central pressure is given
below:
Predicted maximum wind speed = 955.27 – 0.897
(central pressure)
Which one of the following statements is a correct
interpretation of this regression equation?
A. Without more information, it is impossible to know if
the relationship between maximum wind speed and
central pressure is positive or negative.
B. As central pressure goes up by one millibar, we predict
maximum wind speed to increase by 955.27 knots.
C. As central pressure goes up by one millibar, we predict
maximum wind speed to decrease by 955.27 knots.
D. As central pressure goes up by one millibar, we predict
maximum wind speed to increase by 0.897 knots.
E. As central pressure goes up by one millibar, we predict
maximum wind speed to decrease by 0.897 knots.
Transcribed Image Text:4. Scientists have studied the factors that affect the wind speed of hurricanes, and they have focused specifically on central pressure as one variable that is related to wind speed. It turns out that hurricanes develop low pressure at their centers. This leads to moist air being pulled in, and the moist air affects the rotation of the hurricanes. Ultimately, this rotation will generate high winds. Central pressure is measured in millibars and wind speed is measured in knots. The regression equation to predict the maximum wind speed of a hurricane based on central pressure is given below: Predicted maximum wind speed = 955.27 – 0.897 (central pressure) Which one of the following statements is a correct interpretation of this regression equation? A. Without more information, it is impossible to know if the relationship between maximum wind speed and central pressure is positive or negative. B. As central pressure goes up by one millibar, we predict maximum wind speed to increase by 955.27 knots. C. As central pressure goes up by one millibar, we predict maximum wind speed to decrease by 955.27 knots. D. As central pressure goes up by one millibar, we predict maximum wind speed to increase by 0.897 knots. E. As central pressure goes up by one millibar, we predict maximum wind speed to decrease by 0.897 knots.
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