(30) Consider the data shown in Table 3.14, which seeks to determine the relationship between the time constant (residence time) in a tank and water level in the tank. Fit the following model to the data

τ = Khb (3.114)

where τ is the time constant, K a parameter of interest, h the water level, and b the unknown power. Theoretically, the value of b should be 0.5 and K =

2ρA / R, where ρ is the density, A the cross-sectional area of the tank, and R is the resistance coefficient.