Interaction Effect

The summary of the responses for a $2$x$2$ experiment is show below.

Below is a graphical representation of the responses shown. It shows the average response for each factor level as the other factor is changed from low to high.

Based on this graphical representation, do Factors A and B interact and why?

No$,$ because you can see that the response changes in one way $($decreases$)$ between the two levels of Factor A when Factor B is at level $1$ and changes in the same way $($decreases$)$ when Factor B is at Level $2.$

Yes, because the lines are not perpendicular.

No$,$ because you can see that response changes in one way $($increases$)$ between the two levels of Factor A when Factor B is at Level $1$ but changes in the same way $($increases$)$ when Factor B is at Level $2.$

Yes, because you can see that response changes in one way $($decreases$)$ between the two levels of Factor A when Factor B is at Level $1$ but changes in the opposite way $($increases$)$ when Factor B is at Level $2.$