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The independent variable explains .32*100 percent of the variance in the dependent variable.

This is 9%.

The explainable variance is always the square of the correlation (r).

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Q: What a correlation of 0.30 means that the independent variable explains -- percent of the variance in the dependent variable?
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Positive correlation implies what--dependent variable improves as independent variable increases or dependent variable decreases as independent variable increases or?

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