Please provide explanation for answer. Thank you! 26. In an interaction plot for

Question

Please provide explanation for answer. Thank you!

26. In an interaction plot for a two factor, two level experiment, the vertical llines are drawn above "A low" and "B low" True or False

27. Consider the following interaction analysis. Factor A is increased from low to high. The response increases by 40 points regardless of the level of B. This suggests a high level of interaction between A and B. True or False

28. If the lines on an interaction plot are parallel this suggests no interaction between the factors. True or False

29. The most important variable in a two factor DOE is the one with the greatest change visible on the main effects plot when the factor is changed between two levels. True or False

30. A response surface that is curved can be represented by a ______ function. a.) linear b.) digital c.) continuous d.) quadratic

Explanation / Answer

26. FALSE

The vertical lines are above "A low", "A high"

27.-FALSE

Since we have the same change no matter what level is B, this indicates B is not affecting the A contribution to the total result, so they are not interacting.

Another way to see this is that if we look at the interaction plot, the slope of the lines representing each level of B will have the same slope(because they increase the same regardless of the level of B) and thus will be parallel.

28.- TRUE

This means each line representing a level of B, will have the same slope, so A changes the same from one level to another no matter what level is B, so they do not interact.

29. TRUE

The main effects plot tells us how much that variable affects the response, when changing from one level to another. So we are more interested in the one that changes the most.

30. QUADRATIC

Since the surface is curved, we can't use a linear function, so we must use a second- degree polinomyal.

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