7. (2 + 3 points) A company is interested in knowing the factors A, B, C, D affect their product and uses factor testing. They manufacture a complete 24 plan. The results are given in Table 3. A B D measurement + + + Attempt 1 2 3 6.81 8.86 + + + + + + + + 8.76 4 + 18.89 5 18.72 + + + + 6 + + 21.46 7 + 16.88 8 + 26.79 16.91 9 10 + + + + + 19.06 11 15.62 12 + 25.15 13 + 24.26 26.29 14 + 15 + 27.06 37.30 16 Table 3: Complete 24 factorial experiments. (a) Calculate the interaction 'ect' AB. (b) The company is also interested in two more factors, E and F, but unfortunately finns not opportunity to make more than 16 attempts so they must perform a reduced factorial attempt. They choose the generators E = ABC and F = ABCD. Calculate all words and resolution. Is there a confusion between any main ff real and other main ff real or two-factor interplay ff real? 7. (2 + 3 points) A company is interested in knowing the factors A, B, C, D affect their product and uses factor testing. They manufacture a complete 24 plan. The results are given in Table 3. A B D measurement + + + Attempt 1 2 3 6.81 8.86 + + + + + + + + 8.76 4 + 18.89 5 18.72 + + + + 6 + + 21.46 7 + 16.88 8 + 26.79 16.91 9 10 + + + + + 19.06 11 15.62 12 + 25.15 13 + 24.26 26.29 14 + 15 + 27.06 37.30 16 Table 3: Complete 24 factorial experiments. (a) Calculate the interaction 'ect' AB. (b) The company is also interested in two more factors, E and F, but unfortunately finns not opportunity to make more than 16 attempts so they must perform a reduced factorial attempt. They choose the generators E = ABC and F = ABCD. Calculate all words and resolution. Is there a confusion between any main ff real and other main ff real or two-factor interplay ff real