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For the data in Table P20.21, use polynomial regression to derive a third-order predictive equation for dissolved oxygen concentration as a function of temperature for the case where chloride...

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For the data in Table P20.21, use polynomial regression to derive a third-order predictive equation for dissolved oxygen concentration as a function of temperature for the case where chloride concentration is equal to 10 g/L. Use the equation to estimate the dissolved oxygen concentration for T = 8°C.

 

Dissolved Oxygen (mg/L) for Temperature (°C) and

Concentration of Chloride (g/L)

 

T, C

c = 0 g/

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

6.2

Table P20.21 Dissolved oxygen concentration in water as a function of temperature (°C) and chloride concentration (g/L).

Answered Same Day Dec 24, 2021

Solution

David answered on Dec 24 2021
130 Votes
Question Id: 684582: Third Order Predictive Equation
using Polynomial Regression:
29.12.2016
1
Question Id: 684582: Third Order Predictive Equation using Polynomial Regression ( ):
Mathematical Formulation
Notations are in the following:
T= Temparature,
D= Dissolved oxygen concentration in water with chloride concentration of 10g/L,
N=7= Number of data points given.
Third order polynomial of D can be written as a function of T :
D(T ) = β0 + β1T + β2T
2 + β3T
3...
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