Other Cognition Principles - MCAT Psychological and Social Foundations

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Question

A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable?

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Answer

If the correlation coefficient is 0.3, then the proportion of variance explained by the independent variable is 9 percent.

In other words, the correlation coefficient is denoted as follows:

The explained variance is found using the following formula:

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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