The Data Below Are the Average One-Way Commute Times (In

question 3

Multiple Choice

The data below are the average one-way commute times (in minutes) for selected students and the number ofabsences for those students during the term. Find the equation of the regression line for the given data. Whatwould 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 thenearest hundredth. $\begin{array} { | l | c | c | c | c | c | c | c | c | c | } \text { Commute time } ( \mathrm { min } ) , \mathrm { x } & 72 & 85 & 91 & 90 & 88 & 98 & 75 & 100 & 80 \\\hline \text { Number of absences, } \mathrm { y } & 3 & 7 & 10 & 10 & 8 & 15 & 4 & 15 & 5\end{array}$

• A) \(\hat { y } = 0.45 \mathrm { x } - 30.27 ; 12\) absences; \(Y e s\), it is reasonable.
• B)\(\hat { y } = 0.45 \mathrm { x } - 30.27 ; 12\) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.
• C) \(\hat { y } = 0.45 \mathrm { x } + 30.27 ; 73\) absences; Yes, it is reasonable.
• D) \(\hat { y } = 0.45 \mathrm { x } + 30.27 ; 73\) absences; No, it is not reasonable. 95 minutes is well outside the scope of the model.

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Definitions:

Intimate Partner

A person with whom one has a close personal relationship that can be characterized by emotional connections, sexual intimacy, or shared living arrangements.

Severe Physical Violence

A form of physical aggression that is significantly harmful or intense, often resulting in injuries.

United States

A country in North America composed of 50 states, a federal district, five territories, and various possessions.

Intimate Partner Violence

A pattern of behavior within a romantic relationship that causes physical, psychological, or sexual harm to one of the partners.