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If a Linear Regression Equation Predicts More Than 50% of the Variance

question 35

True/False

If a linear regression equation predicts more than 50% of the variance in the Y scores,then the correlation between X and Y must be greater than r = 0.70.

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Definitions:

Linear Relationship

A type of relationship between two variables where changes in one variable are directly proportional to changes in another variable.

Population Correlation Coefficient

A measure of the strength and direction of the linear relationship between two variables in a population.

Correlation

A statistical measure that expresses the extent to which two variables change together, indicating the strength and direction of their relationship.

Probability Distribution

A statistical description enumerating all likely values and their corresponding probabilities for a random variable within a set interval.

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