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:

Self-Directed Search

A self-administered, scored, and interpreted interest inventory that was created by Holland and uses his personality types.

Reliability

In statistics and psychometrics, reliability refers to the consistency of a measure or test over time or across different raters.

Validity

The degree to which a test accurately measures what it is intended to measure.

COPSystem

An assessment tool designed to aid in career guidance, integrating values, interests, and abilities.