# Interpreting insignificant 3 way-interaction alongside significant 2-way interaction

Let's say we have a situation like this - we are predicting y with one continuous (cont) and 2 categorical predictors (A and B). A and B have only two levels - 1 and 0, and reference is 0

$y\sim cont+A+B$

$y=b_0+b_{A1}+b_{B1} + b_{A1:B1} + (b_{cont} + b_{cont:A1} + b_{cont:B1} + b_{cont:A1:B1})*cont$

and the results are following: If we calulate the results for each slope, we get
slope (A0, B0) = -.61
slope (A1, B0) = -.23 = cont + cont:A1
slope (A0, B1) = -.24 = cont + cont:B1
slope (A1, B1) = -.23 = cont + cont:A1 + cont:B1 + cont:A1:B1

Now, the problem is that I don't know how to interpret the 3-way interaction due to the non-significant cont:A1:B1 coefficient.

Do I interpret slope(A1, B1) just by setting cont:A1:B1 to zero?
So slope(A1,B1) = cont + cont:A1 + cont:B1 = .10

Or does that mean that slope(A1,B1) = slope(A1,B0) =-.23

• Please consider completely getting rid of the 3-way interaction. – David Jun 3 '19 at 8:09