Use multiple linear regression to derive a predictive equation for dissolved oxygen concentration as a function of temperature and chloride based on the data from Table P14.5. Use the equation to estimate the concentration of dissolved oxygen for a chloride concentration of
15 g/L at T = 12 °C.
TABLE P14.5
Dissolved oxygen concentration in water as a function of temperature (°C) and chloride concentration (g/L). | |||
Dissolved Oxygen (mg/L) for Temperature (°C) and Concentration of Chloride (g/L) | |||
T, °C | c = 0 g/L | c = 10 g/L | c = 20 g/L |
0 | 14.6 | 12.9 | 11.4 |
5 | 12.8 | 11.3 | 10.3 |
10 | 11.3 | 10.1 | 8.96 |
15 | 10.1 | 9.03 | 8.08 |
20 | 9.09 | 8.17 | 7.35 |
25 | 8.26 | 7.46 | 6.73 |
30 | 7.56 | 6.85 | 6.20 |
Note that the true value is 9.09 mg/L. Compute the percent relative error for your prediction. Explain possible causes for the discrepancy.
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