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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