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?

Atmospheric Wind Speed Atmospheric Wind Speed Pressure Pressure (knots), y (knots), y (mb), x (mb), x 993 50 1006 40 995 60 942 120 1002 994 60 40 997 45 986 50 1003 45 983 70 1004 40 994 65 1000 55 940 120 994 55 976 80 105 942 966 100 1006 30 982 55