Basis functions and coefficients of the MARS model developed for estimation of Qf
| Basis functions . | Coefficients . |
|---|---|
| BF1 = max(0, 0.4 −Dr) | −130.933 |
| BF2 = max(0, xr −0.25) * max(0, θ −5.7) | 6.336 |
| BF3 = max(0, 5.7 −θ) | −2.725 |
| BF4 = max(0, Dr −0.35) | 142.337 |
| BF5 = BF1 * max(0, 0.25 −xr) | −317.615 |
| BF6 = max(0, 2 −fr) | 2.555 |
| BF7 = max(0, 0.25 −xr) * max(0, θ +3.81) | −5.756 |
| BF8 = max(0, 0.25 −xr) * max(0, θ −3.81) | 6.965 |
| BF9 = max(0, 0.25 −xr) * max(0, 3.81 −θ) | −6.096 |
| BF10 = max(0, xr −0.25) * max(0, θ −3.81) | −6.254 |
| BF11 = max(0, xr −0.25) * max(0, −3.81 −θ) | 5.274 |
| BF12 = max(0, xr −0.25) * max(0, Dr −0.2) | 1,218.284 |
| BF13 = max(0, xr −0.25) * max(0, 0.2 −Dr) | −2,068.526 |
| BF14 = max(0, xr −0.25) * max(0, Dr −0.25) | −1,470.058 |
| BF15 = max(0, xr −0.25) * max(0, 0.25 −Dr) | 1,880.897 |
| BF16 = BF3 * max(0, 0.3 −Dr) | −17.987 |
| BF17 = max(0, 0.35 −Dr) * max(0, xr −0.5) | −318.956 |
| BF18 = max(0, 0.35 −Dr) * max(0, 0.5 −xr) | 427.501 |
| BF19 = max(0, 0.35 −Dr) * max(0, 5.7 −θ) | 12.529 |
| BF20 = BF3 * max(0, xr −0.75) | −7.267 |
| BF21 = BF3 * max(0, 0.75 -xr) | 5.216 |
| BF22 = max(0, xr −0.25) * max(0, fr −2) | −5.471 |
| Basis functions . | Coefficients . |
|---|---|
| BF1 = max(0, 0.4 −Dr) | −130.933 |
| BF2 = max(0, xr −0.25) * max(0, θ −5.7) | 6.336 |
| BF3 = max(0, 5.7 −θ) | −2.725 |
| BF4 = max(0, Dr −0.35) | 142.337 |
| BF5 = BF1 * max(0, 0.25 −xr) | −317.615 |
| BF6 = max(0, 2 −fr) | 2.555 |
| BF7 = max(0, 0.25 −xr) * max(0, θ +3.81) | −5.756 |
| BF8 = max(0, 0.25 −xr) * max(0, θ −3.81) | 6.965 |
| BF9 = max(0, 0.25 −xr) * max(0, 3.81 −θ) | −6.096 |
| BF10 = max(0, xr −0.25) * max(0, θ −3.81) | −6.254 |
| BF11 = max(0, xr −0.25) * max(0, −3.81 −θ) | 5.274 |
| BF12 = max(0, xr −0.25) * max(0, Dr −0.2) | 1,218.284 |
| BF13 = max(0, xr −0.25) * max(0, 0.2 −Dr) | −2,068.526 |
| BF14 = max(0, xr −0.25) * max(0, Dr −0.25) | −1,470.058 |
| BF15 = max(0, xr −0.25) * max(0, 0.25 −Dr) | 1,880.897 |
| BF16 = BF3 * max(0, 0.3 −Dr) | −17.987 |
| BF17 = max(0, 0.35 −Dr) * max(0, xr −0.5) | −318.956 |
| BF18 = max(0, 0.35 −Dr) * max(0, 0.5 −xr) | 427.501 |
| BF19 = max(0, 0.35 −Dr) * max(0, 5.7 −θ) | 12.529 |
| BF20 = BF3 * max(0, xr −0.75) | −7.267 |
| BF21 = BF3 * max(0, 0.75 -xr) | 5.216 |
| BF22 = max(0, xr −0.25) * max(0, fr −2) | −5.471 |