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

question 23

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Find the equation of the regression line for the given data. What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Round your answer to the nearest whole number.

• A) \(\hat { y } = 5.044 \mathrm { x } + 56.11 ; 91\); Yes, it is reasonable.
• B) \(\hat { y } = 5.044 \mathrm { x } + 56.11 ; 91 ;\) No, it is not reasonable. 7 hours is well outside the scope of the model.
• C) \(\hat {y} = - 5.044 x + 56.11 ; 21 ;\) No, it is not reasonable. 7 hours is well outside the scope of the model.
• D) \(\hat { y } = - 5.044 \mathrm { x } + 56.11 ; 21\); Yes, it is reasonable.