Question: 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

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?

(a) Treating atmospheric pressure as the explanatory variable, x, determine the estimates of ß0 and ß1.
(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 α = 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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