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 15 30 35 60 72 105 69.1 68.0 66.5 66.3 64.5 64.3 61.3 (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. y = x+ (Round 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 an index score of zero, the commute time is predicted to be (Round to three decimal places as needed.) minutes. OB. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) OC. For every unit increase in index score, the commute time falls by (Round to three decimal places as needed.) on average. O D. For every unit increase in commute time, the index score falls by (Round to three decimal places as needed.) OE. 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. on average.

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Chapter3: Straight Lines And Linear Functions
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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 15 30 35 60 72 105 4
69.1 68.0 66.5 66.3 64.5 64.3 61.3
(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.
y=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.
O A. For an index score of zero, the commute time is predicted to be
(Round to three decimal places as needed.)
B. For a commute time of zero minutes, the index score is predicted to be
(Round to three decimal places as needed.)
C. For every unit increase in index score, the commute time falls by
(Round to three decimal places as needed.)
minutes.
A. For an index score of zero, the commute time is predicted to be
(Round to three decimal places as needed.)
on average.
D. For every unit increase in commute time, the index score falls by
(Round to three decimal places as needed.)
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.
, on average.
minutes.
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 15 30 35 60 72 105 4 69.1 68.0 66.5 66.3 64.5 64.3 61.3 (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. y=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. O A. For an index score of zero, the commute time is predicted to be (Round to three decimal places as needed.) B. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) C. For every unit increase in index score, the commute time falls by (Round to three decimal places as needed.) minutes. A. For an index score of zero, the commute time is predicted to be (Round to three decimal places as needed.) on average. D. For every unit increase in commute time, the index score falls by (Round to three decimal places as needed.) 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. , on average. minutes.
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
15 30 35 60
68.0 66.5 66.3 64.5
72 105
64.3 61.3
5
69.1
A. For an index score of zero, the commute time is predicted to be
(Round to three decimal places as needed.)
B. For every unit increase in index score, the commute time falls by
(Round to three decimal places as needed.)
C. For every unit increase in commute time, the index score falls by
(Round to three decimal places as needed.)
minutes.
"
on average.
on average.
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 20-minute commute and scores 66.7 on the survey. Is Barbara more "well-off" than the typical individual who has a 20-minute commute? Select the correct choice below
and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
A. No, Barbara is less well-off because the typical individual who has a 20-minute commute scores
B. Yes, Barbara is more well-off because the typical individual who has a 20-minute commute scores
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 15 30 35 60 68.0 66.5 66.3 64.5 72 105 64.3 61.3 5 69.1 A. For an index score of zero, the commute time is predicted to be (Round to three decimal places as needed.) B. For every unit increase in index score, the commute time falls by (Round to three decimal places as needed.) C. For every unit increase in commute time, the index score falls by (Round to three decimal places as needed.) minutes. " on average. on average. 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 20-minute commute and scores 66.7 on the survey. Is Barbara more "well-off" than the typical individual who has a 20-minute commute? Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) A. No, Barbara is less well-off because the typical individual who has a 20-minute commute scores B. Yes, Barbara is more well-off because the typical individual who has a 20-minute commute scores
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