The following is a table displaying the 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) TC c=0 g/L c=10 g/L c=20 g/L 11.6 12.9 11.1 5 12.8 11.3 10.3 10 11.3 101 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 Using polynomial regression, identify a predictive equation for dissolved oxygen concentration as a function of temperature for the case where the chloride concentration is equal to zero. Employ a polynomial that is of sufficiently high order that the predictions match the number of significant digits displayed in the table. 1) Use assumed true model as o=a0+ a1*T+ a2*c Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction 2) Use assumed true model as o=a0+ a1*T+a2*T^2 + a3*T^3 + a4*c Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction. Comment on the two models.

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The following is a table displaying the 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)
TC c=0 g/L c=10 g/L
c=20 g/L
11.6
12.9
11.1
5
12.8
11.3
10.3
10
11.3
101
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
Using polynomial regression, identify a predictive equation for dissolved oxygen concentration as a function of temperature for the case where
the chloride concentration is equal to zero.
Employ a polynomial that is of sufficiently high order that the predictions match the number of significant digits displayed in the table.
1) Use assumed true model as
o=a0+ a1*T+ a2*c
Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction
2) Use assumed true model as
o=a0+ a1*T+a2*T^2 + a3*T^3 + a4*c
Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction.
Comment on the two models.
Transcribed Image Text:The following is a table displaying the 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) TC c=0 g/L c=10 g/L c=20 g/L 11.6 12.9 11.1 5 12.8 11.3 10.3 10 11.3 101 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 Using polynomial regression, identify a predictive equation for dissolved oxygen concentration as a function of temperature for the case where the chloride concentration is equal to zero. Employ a polynomial that is of sufficiently high order that the predictions match the number of significant digits displayed in the table. 1) Use assumed true model as o=a0+ a1*T+ a2*c Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction 2) Use assumed true model as o=a0+ a1*T+a2*T^2 + a3*T^3 + a4*c Report your general linear regression effort, coefficients, S_T, S_R and graph of data versus prediction. Comment on the two models.
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