A chemical engineer studied the effect of the amount of surfactant and time on clathrate formation. Clathrates
Question:
A chemical engineer studied the effect of the amount of surfactant and time on clathrate formation. Clathrates are used as cool storage media. Table B. 8 summarizes the experimental results.
a. Fit a multiple linear regression model relating clathrate formation to these regressors.
b. Test for significance of regression. What conclusions can you draw?
c. Use $t$ tests to assess the contribution of each regressor to the model. Discuss your findings.
d. Calculate $R^{2}$ and $R_{\text {Adj }}^{2}$ for this model. Compare these values to the $R^{2}$ and $R_{\text {Adj }}^{2}$ for the simple linear regression model relating clathrate formation to time. Discuss your results.
e. Find a $95 %$ CI for the regression coefficient for time for both models in part d. Discuss any differences.
Step by Step Answer:
Introduction To Linear Regression Analysis
ISBN: 9781119578727
6th Edition
Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining