?Hurricanes. The following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for a random sample of hurricanes t
Chapter 14, Problem 14(choose chapter or problem)
Hurricanes. The following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for a random sample of hurricanes that originated in the Atlantic Ocean. Does atmospheric pressure play a role in the wind speed of a hurricane?
Use the results from Problem 22 in Section 4.2 to answer the following questions:
(a) Treating atmospheric pressure as the explanatory variable, x, determine the estimates of 0 and
1.
(b) Compute the standard error of the estimate.
(c) Determine whether the residuals are normally distributed.
(d) Determine sb1.
(e) If the residuals are normally distributed, test whether a linear relation exists between the atmospheric pressure and wind speed at the = 0.01 level of significance.
(f) If the residuals are normally distributed, construct a 99% confidence interval for the slope of the true least-squares regression line.
(g) What is the mean wind speed of a hurricane whose atmospheric pressure is 995 mb?
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