A Professor Runs a Regression to See How Students' Exam

question 73

Multiple Choice

A professor runs a regression to see how students' exam scores (Y) are related to their homework
Grades (X) . The R2 of the regression is 21%. What does R2 tell us?

• A) 21% of the variation in the exam scores is explained by the regression analysis.
• B) 21% of students have their grades accurately predicted by the regression equation.
• C) none of these
• D) 21% of each student's exam grade will be determined by their homework grade.
• E) Exam scores are not related to homework grades since 21% is greater than 5%.

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Definitions:

Informed Consent

The process of providing individuals with all relevant information regarding a procedure or study, ensuring they understand and agree to participate voluntarily.

Organized System

A structured set of components or entities that are interrelated and work together to achieve a particular goal or function.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation, which can be tested through experimentation or observation.

Principle of Falsifiability

A criterion for scientific theories proposed by Karl Popper, stating that for a theory to be considered scientific, it must be able to be proven false.