The Pearson Correlation Between X₁ and Y Is R =

question 74

Multiple Choice

The Pearson correlation between X₁ and Y is r = 0.40 and SS_Y = 100.When a second variable,X₂,is added to the regression equation,we obtain R² = 0.25.How much additional variability is contributed by adding the second variable as a predictor compared to using X₁ alone?​

• A)​9 points
• B)​15 points
• C)​25 points
• D)​40 points

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Definitions:

Positively Correlated

A relationship between two variables in which both variables move in the same direction.

First Midterm

Typically refers to the first major examination in a course, held midway through the academic term to assess students' grasp of the subject matter up to that point.

Final Exam

A cumulative test given at the end of a course of study to evaluate a student's mastery of the material.

Physical Strength

The measure of an individual's exertion ability against resistance through physical force.