9.27 - Correlations continued Interpreting the correlation...

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Correlations continued… Interpreting the correlation coefficient - The squared correlation describes the proportion of variance in common between two variables. - If we multiply this by 100, we get the percent of variance in common between two variables. - There are 2 central reasons why the correlation coefficient and r2 might not be useful statistics for your sample: o The correlation coefficient is only appropriate for describing linear relationships o The correlation coefficient is subject to bias from outliers - What is the post-hoc fallacy? o The post-hoc fallacy is typically translated as “After this, therefore because of this” - A post-hoc fallacy has the following form o A occurs before B o Therefore A is the cause of B o Example: “People that participate in sports in High School, make better grades; therefore, sports participation causes an individual to make high grades” - Problems with correlation o Chance correlation – this refers to when the relationship happens for one sample
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9.27 - Correlations continued Interpreting the correlation...

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