The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided for each combination of factors (in the article, there was some replication). The results are presented in the following table.

a. Compute estimates of the main effects and the interactions.
b. Is it possible to compute an error sum of squares? Explain.
c. Are any of the interactions among the larger effects? If so, which ones?
d. Assume that it is known from past experience that the additive model holds. Add the sums of squares for the interactions, and use that result in place of an error sum of squares to test the hypotheses that the main effects are equal to 0.

C Glucose Consumption A B 1 -1 1-1 68.0 77.5 98.0 98.0 74.0 77.0 97.0 98.0 -1