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:

Behavior Rehearsal

A technique used in therapy to practice new behaviors or responses in a safe environment before applying them in real-world situations.

Guided Practice

An instructional approach where the teacher leads students through a learning process, providing support and feedback.

Task Implementation

The process of putting plans or decisions into effect to complete specific activities or work.

Task Planning

The process of defining steps, allocating resources, and setting timelines for accomplishing a specific objective or project.