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I've performed a simple moderation analysis (model 1) using PROCESS v3.5 . My Dependent Variable is Y, my Independent Variable is X, and my 'moderator' is M. All my variables are continuous.

PROCESS Output:

The model summary was significant (p<.001). The effects of X were significant (p<.05). The effects of M were also significant (p<.001).
The interaction effect (X * M) was NON-significant (p = .472)

So I'm assuming this means that M does NOT moderate the relationship between X and Y.

I've also attached the output for the simple slopes of this analysis.

enter image description here

I'm really inexperienced with this type of analysis, so my question is how do I interpret this output? What do these "parallel" simple slopes imply?

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    $\begingroup$ It means that the effect (slope) of X on Y depends little on the particular value of M. $\endgroup$ Commented Mar 29, 2021 at 9:39

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It simply means that there is no moderation effects taking place in your data. Only the main effects, $X$ and $M$ are related to $Y$ while the interaction effect $X*M$ is not.

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It means that there is insufficient evidence that the effect of X depends on M, or that X’s effect on Y varies across levels of M.

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