A study was conducted at Union Carbide to identify the optimal catalyst

A study was conducted at Union Carbide to identify the optimal catalyst preparation conditions in the conversion of monoethanolamine (MEA) to ethylenediamine (EDA), a substance used commercially in soaps. For each of 10 preselected catalysts, the following experimental variables were measured:

The data for the n = 10 experiments were used to fit the multiple regression model E(y) = βo + β1x1 + β2x2 + β3x3. The results are summarized as follows:


a. Is there sufficient evidence to indicate that the model is useful for predicting rate of conversion y? Test using α = .01.

b. Conduct a test to determine whether atom ratio x1 is a useful predictor of rate of conversion y. Use α = .05. 

c. Construct a 95% confidence interval for β2. Interpret the interval.