Instructor: Danielle O'Donnol Assignment: Section 4.2 Date: 04/26/21 Course: Statistical Analysis MA132 The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute Time (minutes), x 5 20 30 40 50 72 105 Well-Being Index Score, y 69.2 68.0 67.1 66.7 66.2 65.7 63.3 (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. x+ (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) O B. For every unit increase in commute time, the index score falls by on average. Round to three decimal places as needed.) C. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) D. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) O E. It is not appropriate to interpret the slope. Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For every unit increase in commute time, the index score falls by on average. (Round to three decimal places as needed.) B. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) C. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) D. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) O E. It is not appropriate to interpret the y-intercept because a commute time of zero minutes does not make sense and the value of zero minutes is much smaller than those observed in the data set. (c) Predict the well-being index of a person whose commute time is 25 minutes. The predicted Index score is (Round to one decimal place as needed.) (d) Suppose Barbara has a 15-minute commute and scores 67.4 on the survey. Is Barbara more "well-off" than the typical individual who has a 15-minute commute? Select the correct choice below and fill in the answer box to complete your (Round to one decimal place as needed.) A. Yes, Barbara is more well-off because the typical individual who has a 15-minute commute scores O B. No, Barbara is less well-off because the typical individual who has a 15-minute commute scores
