r - Interpretation when converting correlation of continuous data to Cohen's d - Cross Validated

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A popular textbook on meta-analysis (1) discusses how to convert a correlation, $r$, to Cohen's $d$ (i.e., the standardized mean difference): I became confused about how to interpret the resulting

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regression - Is this a correct interpretation of the r correlation coefficient - Cross Validated

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An overview of correlation measures between categorical and continuous variables, by Outside Two Standard Deviations

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