Refer to the Heat Transfer Engineering (Vol. 34, 2013) study of bubble behavior in subcooled flow boiling, Exercises 11.6 and 11.29. You fit an interaction model for bubble density (y) as a function of x_{1} = mass flux and x_{2} = heat flux. Conduct a complete residual analysis for the model. Do you recommend any model modifications?

**Data from Exercise 11.6**

In industry cooling applications (e.g., cooling of nuclear reactors), a process called subcooled flow boiling is often employed. Subcooled flow boiling is susceptible to small bubbles which occur near the heated surface. The characteristics of these bubbles were investigated in Heat Transfer Engineering (Vol. 34, 2013). A series of experiments was conducted to measure two important bubble behaviors— bubble diameter (millimeters) and bubble density (liters per meters squared). The mass flux (kilograms per meters squared per second) and heat flux (megawatts per meters squared) were varied for each experiment.