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.

---

Definitions:

Sonographs

Visual representations of sound waves or other acoustic properties, often used in medical imaging and diagnostics.

Mind-Body Problem

A philosophical dilemma concerning the relationship between thought and consciousness in the human mind and the brain as part of the physical body.

Neurotransmitters

The chemicals that allow one neuron to affect, or communicate with, another.

Philosophical Argument

A reasoned and logical discussion that seeks to establish a truth through the use of critical thinking and theoretical reasoning.