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

question 134

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 15 hours the previous night? Is this a reasonable question? Round your predicted score to the nearest whole number.

• A) \(\hat { y } = 5.044 \mathrm { x } + 56.11 ; 132 ;\) No, it is not reasonable. 15 hours is well outside the scope of the model.
• B) \(\hat { y } = 5.044 \mathrm { x } + 56.11 ; 132\); Yes, it is reasonable.
• C) \(\hat { y } = - 5.044 \mathrm { x } + 56.11 ; - 20 ; \mathrm { No }\), it is not reasonable.
• D) \(\hat { y } = - 5.044 \mathrm { x } + 56.11 ; - 20\); Yes, it is reasonable.

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Definitions:

Price of Capital

The cost of using capital goods, represented by interest rates, lease payments, or other measures of the cost of borrowing or using capital.

Marginal Revenue Product

The additional revenue generated from employing one additional unit of a resource, such as labor or capital.

Complementary Resource

A resource or product that enhances or is necessary for the use of another resource or product, such as printers for computers.

Substitution Effect

The alteration in buying habits caused by shifts in relative prices, prompting consumers to swap out higher-priced goods for more affordable options.