Question

In: Statistics and Probability

The data below is hurricane Irma’s wind speeds at the Key West Airport starting at midnight...

The data below is hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017.

h, hours since midnight 6 9 12 24 36 44

W, wind speed in MPH 140 140 80 48 30 20

a. Using the data above, find the linear regression equation for Irma’s wind speed, W, in terms of the hours since midnight, h, on 9/10/2017.

b. Identify the y-intercept and slope of the linear model and interpret the meaning of each in the context of the problem.

c. Using the data above, find the exponential regression equation for Irma’s wind speed, W, in terms of the hours since midnight, h, on 9/10/2017.

d. Identify the initial value and growth/decay rate and explain what each value means in context of the problem.

e. According to the linear model, what will the wind speed be after 20 hours?

f. According to the exponential model, what will the wind speed be after 20 hours?

g. Assuming the linear trend continues, use the model you found in part

(a) to predict when the wind speed would be 85 mph. h. Assuming the exponential trend continues, use the model you found in part

(c) to predict when the wind speed would be 85 mph.

i. Compare both of the predicted times for the wind speed to drop to 85 mph with the original data. Which model predicts the time the best? Explain why giving specific details.

Expert Solution

orchestra answered 1 year ago

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