Predicted index score. The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below.Commute Time (minutes), xWell-Being Index Score, y1525356084105 O69.0 67.766.565.6 63.4 62.0 59.4(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.ý = - 0.090 x + ( 69.045')(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 yourchoice.O A. For every unit increase in commute time, the index score falls by 0.090 , on average.(Round to three decimal places as needed.)O B. For an index score of zero, the commute time is predicted to beminutes.(Round to three decimal places as needed.)O C. For a commute time of zero minutes, the index score is predicted to be(Round to three decimal places as needed.)O D. For every unit increase in index score, thetime falls byon average.(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.O A. For every unit increase in index score, the commute time falls byon average.(Round to three decimal places as needed.)B. For a commute time of zero minutes, the index score is predicted to be 69.045.(Round to three decimal places as needed.)O C. For an index score of zero, the commute time is predicted to beminutes.(Round to three decimal places as needed.)O D. For every unit increase in commute time, the index score falls by, on average.(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 muchsmaller than those observed in the data set.(c) Predict the well-being index of a person whose commute time is 30 minutes.The predicted index score is(Round to one decimal place as needed.)

Name: Predicted index score. The data below represent commute times (in minu
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Description: Predicted index score. The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below.Commute Time (minutes), xWell-Being Index Score, y1525356084105 O69.0 67.766.565.6 63.4 62.0 59.4(a) Fi

The fitted linear model is given as y^=-0.090x+69.045 The value of y^ can be considered as the…

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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 15 25 35 60 84 105 O 69.0 67.7 66.5 65.6 63.4 62.0 59.4 (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. ý = -0.090'x + ( 69.045') (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. C A. For every unit increase in commute time, the index score falls by 0.090 , on average. (Round to three decimal places as needed.) O B. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) O C. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) O 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. Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) OB. For a commute time of zero minutes, the index score is predicted to be 69.045. (Round to three decimal places as needed.) O C. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) O D. For every unit increase in commute time, the index score falls by on average. (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 30 minutes. The predicted index score is (Round to one decimal place as needed.)

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 25 35 60 84 105 O 69.0 67.7 66.5 65.6 63.4 62.0 59.4 (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. ý = -0.090'x + ( 69.045') (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. C A. For every unit increase in commute time, the index score falls by 0.090 , on average. (Round to three decimal places as needed.) O B. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) O C. For a commute time of zero minutes, the index score is predicted to be (Round to three decimal places as needed.) O 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. Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For every unit increase in index score, the commute time falls by on average. (Round to three decimal places as needed.) OB. For a commute time of zero minutes, the index score is predicted to be 69.045. (Round to three decimal places as needed.) O C. For an index score of zero, the commute time is predicted to be minutes. (Round to three decimal places as needed.) O D. For every unit increase in commute time, the index score falls by on average. (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 30 minutes. The predicted index score is (Round to one decimal place as needed.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

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Predicted index score.

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
25
35
60
84
105 O
69.0 67.7
66.5
65.6 63.4 62.0 59.4
(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.
ý = - 0.090 x + ( 69.045')
(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.
O A. For every unit increase in commute time, the index score falls by 0.090 , on average.
(Round to three decimal places as needed.)
O B. For an index score of zero, the commute time is predicted to be
minutes.
(Round to three decimal places as needed.)
O C. For a commute time of zero minutes, the index score is predicted to be
(Round to three decimal places as needed.)
O D. For every unit increase in index score, the
time falls by
on average.
(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.
O A. For every unit increase in index score, the commute time falls by
on average.
(Round to three decimal places as needed.)
B. For a commute time of zero minutes, the index score is predicted to be 69.045.
(Round to three decimal places as needed.)
O C. For an index score of zero, the commute time is predicted to be
minutes.
(Round to three decimal places as needed.)
O D. For every unit increase in commute time, the index score falls by
, on average.
(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 30 minutes.
The predicted index score is
(Round to one decimal place as needed.)

Expert Solution

Step 1 Prediction equation

The fitted linear model is given as

$\hat{y} = - 0.090 x + 69.045$

The value of $\hat{y}$ can be considered as the expected value as well as the predicted value of y corresponding to a particular value of x.

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