What value is the coefficient of correlation if the coefficient of determination is a positive value?

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What does it mean when the the coefficient of determination is positive?

Positive coefficients of determination indicate that there is a positive relationship- y generally increases with x. Negative coefficients of determination indicate that there is a negative relationship- y generally decreases as x increases.

Can the coefficient of determination be positive?

Because the coefficient of determination is the result of squaring the correlation coefficient, the coefficient of determination cannot be negative. (Even if the correlation is negative, squaring it will result in a positive number.)

What does it mean if the coefficient of determination is close to 1?

A value of 1.0 indicates a perfect fit, and is thus a highly reliable model for future forecasts, while a value of 0.0 would indicate that the calculation fails to accurately model the data at all.

Are correlation coefficient and coefficient of determination the same?

The Pearson correlation coefficient (r) is used to identify patterns in things whereas the coefficient of determination (R²) is used to identify the strength of a model.