The Data Below Are the Final Exam Scores of 10

question 59

Multiple Choice

The data below are the final exam scores of 10 randomly selected history students and the number of hoursthey slept the night before the exam. Find the equation of the regression line for the given data. What would bethe predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question?Round the regression line values to the nearest hundredth, and round the predicted score to the nearest wholenumber. $\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } \mathrm{x} & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm{y} & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

• A) \(\hat { y } = 5.04 \mathrm { x } + 56.11 ; 91\); Yes, it is reasonable.
• B) \(\hat { y } = 5.04 \mathrm { x } + 56.11 ; 91\); No, it is not reasonable. 7 hours is well outside the scope of the model.
• C) \(\hat { y } = - 5.04 \mathrm { x } + 56.11 ; 21\); No, it is not reasonable. 7 hours is well outside the scope of the model.
• D) \(\hat { y } = - 5.04 \mathrm { x } + 56.11 ; 21\); Yes, it is reasonable.

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Definitions:

Financial Position

A snapshot of a company's financial health, encompassing assets, liabilities, and equity at a given point in time.

Specific Date

A particular day specified for a certain event, transaction, or deadline.

Return On Assets

A financial ratio indicating the profitability of a company relative to its total assets, measuring efficiency in generating earnings.

Ratio Form

A mathematical expression that represents the relationship between two numbers or variables as a fraction.