Example of a statistical intuition: knowing when to conclude that close-to-zero correlation implies independence.
Not sure why are you calling this “intuition”. Understanding that Pearson correlation attempts to measure a linear relationship and many relationships are not linear is just statistical knowledge, only a bit higher level than knowing the formula.
Not sure why are you calling this “intuition”. Understanding that Pearson correlation attempts to measure a linear relationship and many relationships are not linear is just statistical knowledge, only a bit higher level than knowing the formula.