An engineer studied the effect of four variables on a dimensionless factor used to describe pressure drops in a screen-plate bubble column. Table B.9 summarizes the experimental results.

a. Fit a multiple linear regression model relating this dimensionless number 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 R² and R²_Adj 2 for this model. Compare these values to the R² and R²_Adj 2 for the multiple linear regression model relating the dimensionless number to x2 and x3. Discuss your results.

e. Find a 99% CI for the regression coefficient for x2 for both models in part and discuss any differences.

(need the R-CODES and OUTPUTS also)

TABLE B.9 Pressure Drop Data TABLE B.9 (Continued) y: Dimensionless factor for the pressure drop through a bubble cap Superficial fluid velocity of the gas (crn/s) Kinematic viscosity x: Mesh opening (cm) x4: Dimensionless number relating the superficial fluid velocity of the gas to the superficial fluid velocity of the liquid Source: "A Correlation of Two-Phase Pressure Drops in Screen-plate Bubble Column," by C.H. Liu, M Kan, and B.H. Chen, Canadian Journal of Chemical Engineering. 71, 460-463. 83-55 55 55 55 34 34 34 34 34 34 34 34 34 2 544-11 .1 56 56 56 56 220 3 111000000000000000000111000000000000000000000000 004 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 2 2 2 2 34 34 34 34 34 34 34 34 34 34 34 34 0000000000002222222 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 TABLE B.9 Pressure Drop Data TABLE B.9 (Continued) y: Dimensionless factor for the pressure drop through a bubble cap Superficial fluid velocity of the gas (crn/s) Kinematic viscosity x: Mesh opening (cm) x4: Dimensionless number relating the superficial fluid velocity of the gas to the superficial fluid velocity of the liquid Source: "A Correlation of Two-Phase Pressure Drops in Screen-plate Bubble Column," by C.H. Liu, M Kan, and B.H. Chen, Canadian Journal of Chemical Engineering. 71, 460-463. 83-55 55 55 55 34 34 34 34 34 34 34 34 34 2 544-11 .1 56 56 56 56 220 3 111000000000000000000111000000000000000000000000 004 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 34 2 2 2 2 34 34 34 34 34 34 34 34 34 34 34 34 0000000000002222222 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0