# Question: The following data represent commute times in minutes and score

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

Commute Time Gallup-Healthways Well-Being

(minutes), x ....... 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

(a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.

(b) Interpret the slope and y-intercept, if appropriate.

(c) Predict the well-being index of a person whose commute is 30 minutes.

(d) Suppose Barbara has a 20-minute commute and scores 67.3 on the survey. Is Barbara more “well-off” than the typical individual who has a 20-minute commute?

Commute Time Gallup-Healthways Well-Being

(minutes), x ....... 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

(a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.

(b) Interpret the slope and y-intercept, if appropriate.

(c) Predict the well-being index of a person whose commute is 30 minutes.

(d) Suppose Barbara has a 20-minute commute and scores 67.3 on the survey. Is Barbara more “well-off” than the typical individual who has a 20-minute commute?

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