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Table 3 Summary of the second-order linear regression for the regular design: representing the interaction between two factors

From: Response surface method for assessing energy production from geopressured geothermal reservoirs

Factors

\(\beta \,\, \mathrm{value}\)

Standard error

t   value

Pr (\({>}|\)t|)

(Intercept)

−0.027

0.009

−3.037

0.006

Thickness

0.218

0.003

83.748

0.000

Length

0.745

0.003

289.663

0.000

Permeability

0.000

0.003

0.162

0.873

Porosity

0.039

0.003

15.264

0.000

ReservoirDip

0.230

0.003

88.528

0.000

I (thickness\(^{2}\))

−0.007

0.005

−1.277

0.214

I (length\(^{2}\))

−0.050

0.005

−9.904

0.000

I (porosity\(^{2}\))

−0.001

0.005

−0.245

0.809

I (permeability\(^{2}\))

0.001

0.005

0.216

0.831

I (reservoirDip\(^{2}\))

−0.035

0.005

−6.750

0.000

Thickness: length

0.041

0.005

7.929

0.000

Thickness: porosity

0.007

0.005

1.344

0.192

Thickness: permeability

0.001

0.005

0.220

0.828

Thickness: reservoirDip

0.020

0.005

3.927

0.001

Length: porosity

0.007

0.005

1.316

0.201

Length: permeability

0.002

0.005

0.353

0.727

Length: reservoirDip

0.138

0.005

26.580

0.000

Permeability: porosity

0.001

0.005

0.178

0.861

Porosity: reservoirDip

0.004

0.005

0.734

0.471

Permeability: reservoirDip

0.000

0.005

0.065

0.949

  1. Estimate stands for the coefficient value of the regression model. Standard error, t value and p value for each coefficient is given. Gray color shows the important terms that should be retained in the reduced model. The p value is used for selecting the important predictors for the reduced model