Statistics:

For questions 1-10:

A single replicate 2⁴experiment 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

Treatment Factor A Factor B Factor C Factor D Response (1) 8.30 - 1 9.41 - - 1 16.72 19.50 8.40 9.85 bc 17.71 bed 20.44 a 15.24 ad 9.51 ac - 6.90 acd - 10.24 ab 14.98 abd 12.51 abc - 8.95 abcd - 10.50