The following data represent commute times (in minutes) and a score on a well-being survey.

(a) Treating commute time as the explanatory variable, x, determine the estimates of ß0 and ß1.
(b) Compute the standard error of the estimate, se.
(c) Determine sb1.
(d) A normal probability plot of the residuals indicates it is reasonable to conclude the residuals are normally distributed. Test whether a linear relation exists between commute time and well-being index composite score at the α = 0.05 level of significance.
(e) Construct a 95% confidence interval about the slope of the true least-squares regression line.

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Commute Time (minutes), x Gallup-Healthways Well-Being Index Composite Score, y 69.2 15 68.3 67.5 25 35 67.1 66.4 50 72 66.1 105 63.9