Find the Least-Squares Regression Line and Use the Line to Make

question 182

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-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 40 minutes? Is this a reasonable question? Round the predicted number of absences to the nearest whole number.

• A) \(\hat { y } = 0.449 \mathrm { x } - 30.27 ; - 12\) absences; No, it is not reasonable. 40 minutes is well outside the scope of the model.
• B) \(\hat { y } = 0.449 \mathrm { x } - 30.27 ; - 12\) absences; \(\mathrm { Yes }\), it is reasonable.
• C) \(\hat { y } = 0.449 \mathrm { x } + 30.27 ; 48\) absences; Yes, it is reasonable.
• D) \(\hat { y } = 0.449 \mathrm { x } + 30.27 ; 48\) absences; No, it is not reasonable. 40 minutes is well outside the scope of the model.

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Definitions:

Coordination

The organization of different elements or activities to enable them to work together efficiently and effectively.

Scalar Chain Principle

A management theory emphasizing a clear and direct line of authority within an organization, from the highest to the lowest ranks.

Behavioural Approach

A perspective in management and psychology focusing on the behaviors of individuals rather than internal processes as key to understanding human actions.

Social Relationships

Connections between individuals in a society, encompassing various forms such as friendships, family ties, and professional interactions.