Question

A single replicate 2⁴ experiment 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 in the file HW_DOEInterp_180.csv .

We compute the factorial and interaction effects from this data, and determine that the following effects are significant:

• Factorial Effect B = -15.265
• Factorial Effect C = -11.433
• Interaction Effect BC = -12.397

Give the values of the following coefficients in a regression model that only includes the significant factorial and interaction effects.

Treatment C Factor A Factor B Factor CFactor D Response 16.83 17.2 19.29 118.94 14.72 1 14.25 8.04 9.87 18.93 17.33 18.15 cd bd bcd 10 ad ac acd ab abd abc abcd 14 14.21 115.64 9.33 9.26 16 17 2 Compute the residuals for this model; which of the following normalprobability plots show these residuals? 2.0 1.5 1.0 n0.5 E 0.0 8 -0.5 -2.0 1.0-0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 Residuals 2.0 1.5 1.0 n0.5 E 0.0 -0.5 2 0 1.5 2.02.5 Residuals 3.03.5 2.0 1.5 1.0 0.5 E 0.0 -0.5 -2.0 0.5 1.0 1.5 Residuals

Answer 1

b) Option B

residual is Correct as all the points are correctly drawed. First two points are correctly drawed here.