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the Pearson correlation coefficient (r) between X and Y

已有 3020 次阅读 2020-3-25 15:12 |个人分类:R 学习|系统分类:科研笔记| 统计学

If the Pearson correlation coefficient (r) between X and Y is 0, does this mean there is no relationship between X and Y ?

NOOO!!!

A correlation of zero implies that there is no LINEAR relationship between X and Y. It is possible that a strong curvilinear relationship can have a correlation coefficient of zero. You should ALWAYS examine a scatterplot of X vs. Y before calculating the correlation coefficient to check that their relationship can be assumed linear.


The Pearson correlation coefficient (r) between X and Y is 0.8, only indicate that X and Y are hightly correlated, but can not say the change of X causes the changes of Y.


The rmeasures the variance of X or Y that can be explained by Y or X





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