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 Well-Being Index Score, y 5 20 30 35 50 84 105 D 69.2 67.8 66.8 66.6 65.6 64.2 62.2 (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. y = - 0.064 x+ ( 69.073 ) (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For an index score of zero, the commute time is predicted to be minutes. (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.) OC. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) D. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) O E. It is not appropriate to interpret the slope.
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 Well-Being Index Score, y 5 20 30 35 50 84 105 D 69.2 67.8 66.8 66.6 65.6 64.2 62.2 (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. y = - 0.064 x+ ( 69.073 ) (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For an index score of zero, the commute time is predicted to be minutes. (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.) OC. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) D. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) O E. It is not appropriate to interpret the slope.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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Transcribed Image Text: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
Well-Being Index Score, y
5
20
30
35
50
84
105 O
69.2 67.8 66.8 66.6 65.6 64.2 62.2
(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.
y = - 0.064 x+ (69.073 )
(Round to three decimal places as needed.)
(b) Interpret the slope and y-intercept, if appropriate.
First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. For an index score of zero, the commute time is predicted to be
minutes.
(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.)
OC. For a commute time of zero minutes, the index score is predicted to be
(Round to three decimal places as needed.)
D. For every unit increase in index score, the commute time falls by
on average.
(Round to three decimal places as needed.)
O E. It is not appropriate to interpret the slope.
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