Hurricanes develop low pressure at their centers. This pulls in moist air, pumps

Question

Hurricanes develop low pressure at their centers. This pulls in moist air, pumps up their rotation, and generates high winds. Standard sea-level pressure is around 1013 millibars (mb). Hurricane Katrina had a central pressure (x) of 920 mb and sustained winds (y) of 110 knots. A researcher is determining the relationship between Central Pressure (mb) and Maximum Wind Speed (kts) for 169 hurricanes that have hit the United States since 1851. The following linear model was obtained for the sample data: y cap = -0.90x +1046.2. Predict the maximum wind speed for Hurricane Katrina and compute the residual. Answer: y-hat 218.20 Residual = 110 - 218.20 = -108.2

Explanation / Answer

given linear model =-0.90x +1046.2

max wind speed =-0.90(920)+1046.5

=218.2

residual =110 -max wind speed

=110-218.20

=-108.2

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