(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.
(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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![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
72 105
20 25 35 60
69.2 68.0 67.5 67.1 65.9 66.0 63.8
(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.
ŷ=x+
(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.
OA. For every unit increase in commute time, the index score falls by
(Round to three decimal places as needed.)
OB. For every unit increase in index score, the commute time falls by
(Round to three decimal places as needed.)
1
D. For an index score of zero, the commute time is predicted to be
(Round to three decimal places as needed.)
on average.
on average.
OC. For a commute time of zero minutes, the index score is predicted to be
(Round to three decimal places as needed.)
minutes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8b37f7d-cadc-4db6-9007-0fd6d4d3c36a%2Fbf74d3a4-59d1-4a5c-8e73-b56e5638daf1%2Fjl3ldch_processed.png&w=3840&q=75)
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
72 105
20 25 35 60
69.2 68.0 67.5 67.1 65.9 66.0 63.8
(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.
ŷ=x+
(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.
OA. For every unit increase in commute time, the index score falls by
(Round to three decimal places as needed.)
OB. For every unit increase in index score, the commute time falls by
(Round to three decimal places as needed.)
1
D. For an index score of zero, the commute time is predicted to be
(Round to three decimal places as needed.)
on average.
on average.
OC. For a commute time of zero minutes, the index score is predicted to be
(Round to three decimal places as needed.)
minutes.
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