For questions 1-2: A single replicate 2 4 is designed. The experiment has factor

Question

For questions 1-2:

A single replicate 24 is designed. The experiment has factors A, B, C, and D, each of which can be set to +1 or -1. We conduct a single replicate of this experiment, collecting the response for each possible combination of factor settings. This data is below:

We compute the factorial and interaction effects from this data, and determine that A and B are the only significant factorial effects.

1. Which of the following plots is the interaction plot for A and B created from this data set.

*** Here are two screenshots; there are 6 graphs in total. When giving an answer, provide an A-F based on the order given by the screenshots.

2. Can the factors A and B be optimized independently?

A) Yes

B) No

Thank you, in advance, for your help!

Treatment Combination Factor A Factor B Factor C Factor D Response -1 -1 -1 -1 -1 11.84 d -1 -1 -1 1 11.78 c -1 -1 1 -1 10.13 cd -1 -1 1 1 11.69 b -1 1 -1 -1 -3.81 bd -1 1 -1 1 -4.67 bc -1 1 1 -1 -4.56 bcd -1 1 1 1 -5.33 a 1 -1 -1 -1 -4.02 ad 1 -1 -1 1 -5.64 ac 1 -1 1 -1 -3.91 acd 1 -1 1 1 -5.92 ab 1 1 -1 -1 -21.33 abd 1 1 -1 1 -22.04 abc 1 1 1 -1 -22.44 abcd 1 1 1 1 -22.67 x Db Take Test HW: Inter x Lecrae Broken ft. Ke 41 x C Chegg Study l Guided Sc x C Secure https //myasucou es nt/take/ assessment id 824913-18ucourse id 355390 1&content; id 5682772 18 step null asu.edu/webapps/assessme ASU Home My ASU s & Schools Map & Locations Contactus Austin Wallin ollege Arizona State University s Blackboard Home Courses organizations Help Student Resources & Interaction Chart for FactorsA and B Accessibility Interaction Chart for FactorsAandB Click Save and Submit to save and submit. Click Save AllAnswers to save all answers. Save Answers Save and Submit 12:29 PM O Type here to search 6/21/2017

Explanation / Answer

Ans1) Since there is no interactional effect and only factorial effect hence the correct plot will be D.

Ans 2)Yes A and B can be independently optimized

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