The data below are the average one-way commute times (in minutes) for selected students and the number of absences for those students during the term. Find the equation of the regression line for the given data. What would be the predicted number of absences if the commute time was 95 minutes? Is this a reasonable question? Round the predicted number of absences to the nearest whole number. Round the regression line values to the nearest hundredth. 98 | 75 15 15 72 | 85 Commute time (min), x Number of absences, y 91 | 90 10 10 88 100 80 4 A) y = 0.45x - 30.27; 12 absences; No, it is not reasonable. 95 minutes is well outside the scope of the model. B) y = 0.45x - 30.27; 12 absences; Yes, it is reasonable. = 0.45x + 30.27; 73 absences; Yes, it is reasonable. D) y = 0.45x + 30.27; 73 absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Provide an appropriate response.**

The data below are the average one-way commute times (in minutes) for selected students and the number of absences for those students during the term. Find the equation of the regression line for the given data. What would be the predicted number of absences if the commute time was 95 minutes? Is this a reasonable question? Round the predicted number of absences to the nearest whole number. Round the regression line values to the nearest hundredth.

| Commute time (min), x | 72 | 85 | 91 | 90 | 88 | 98 | 75 | 100 | 80 | 85 |
|-----------------------|----|----|----|----|----|----|----|-----|----|----|
| Number of absences, y | 3  | 7  | 10 | 10 | 8  | 15 | 4  | 15  | 5  | 5  |

A) \( \hat{y} = 0.45x - 30.27; 12 \) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.

B) \( \hat{y} = 0.45x - 30.27; 12 \) absences; Yes, it is reasonable.

C) \( \hat{y} = 0.45x + 30.27; 73 \) absences; Yes, it is reasonable.

D) \( \hat{y} = 0.45x + 30.27; 73 \) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.
Transcribed Image Text:**Provide an appropriate response.** The data below are the average one-way commute times (in minutes) for selected students and the number of absences for those students during the term. Find the equation of the regression line for the given data. What would be the predicted number of absences if the commute time was 95 minutes? Is this a reasonable question? Round the predicted number of absences to the nearest whole number. Round the regression line values to the nearest hundredth. | Commute time (min), x | 72 | 85 | 91 | 90 | 88 | 98 | 75 | 100 | 80 | 85 | |-----------------------|----|----|----|----|----|----|----|-----|----|----| | Number of absences, y | 3 | 7 | 10 | 10 | 8 | 15 | 4 | 15 | 5 | 5 | A) \( \hat{y} = 0.45x - 30.27; 12 \) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model. B) \( \hat{y} = 0.45x - 30.27; 12 \) absences; Yes, it is reasonable. C) \( \hat{y} = 0.45x + 30.27; 73 \) absences; Yes, it is reasonable. D) \( \hat{y} = 0.45x + 30.27; 73 \) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.
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