Correlation does not imply causation.When correlation between X and Y is close to 1, we cannot say that a change in X implies a subsequent change in Y. For example, consider two variables: “Number of ice creams sold daily in the span of one year” and “Number of sunburns in the sp...
A naive p-value calculation does not take this into account.Note Y-axes doesn't start at zero: I truncated the Y-axes of the graphs above. I also used a line graph, which makes the visual connection stand out more than it deserves. Note Mathematically what I showed is true, but it...