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.

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Definitions:

Hardware Purchases

The act of buying physical components and devices used in computing and technological systems.

Secondary Storage

Non-volatile memory that is used to store data permanently, serving as additional storage apart from the computer's primary storage.

Primary Storage

Memory that is directly accessible by the CPU of a computer, such as RAM, used for storing data temporarily during processing.

Volatile

Referring to a type of memory that requires power to maintain the stored information; it loses its data when the system is turned off.