An Unhealthy Commute The following data represent commute times (in minutes) and a score

Chapter 14, Problem 11

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An Unhealthy Commute The following data represent commute times (in minutes) and a score on a well-being survey. Commute Time (minutes), x Gallup-Healthways Well-Being Index Composite Score, y 5 69.2 15 68.3 25 67.5 35 67.1 50 66.4 72 66.1 105 63.9 Source: The Gallup Organization Use the results from in Section 4.2 to answer the following questions: (a) Treating commute time as the explanatory variable, x, determine the estimates of b0 and b1. (b) Compute the standard error of the estimate, se. (c) A normal probability plot of the residuals indicates it is reasonable to conclude the residuals are normally distributed. Determine sb1 . (d) Test whether a linear relation exists between commute time and well-being index composite score at the a = 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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