Minimize the results in regression model
In my regression model I have four(04) input varibales (Al2O3, TiO2, Pressure, Speed) and there are one responce (Surface roughness(Ra)), So I don’t have idea how find optimum vales for four control factors to minimze the Surface roughness.
To develop this model I have done 16 experiments and the predicted values are shon below
Ra
0.064
0.039
0.071
0.238
3.256
3.910
2.786
0.037
3.604
0.043
0.037
0.060
0.049
0.023
0.061
1.113
Developed Regession Model
Ra = 28.66 + 50.01 Al2O3 + 35.80 TiO2 – 6.925 Pressure – 0.4221 Speed – 182.6 Al2O3*Al2O3 – 3.741 TiO2*TiO2 + 0.7566 Pressure*Pressure + 0.001753 Speed*Speed + 8.210 Al2O3*TiO2 – 2.541 Al2O3*Pressure – 0.04987 Al2O3*Speed – 3.373 TiO2*Pressure – 0.2407 TiO2*Speed + 0.03294 Pressure*Speed + 179.8 Al2O3*Al2O3*Al2O3
Can anyone help me to develop the Maltlab code to solve this problem ? thanks for your valuble time spend on thisIn my regression model I have four(04) input varibales (Al2O3, TiO2, Pressure, Speed) and there are one responce (Surface roughness(Ra)), So I don’t have idea how find optimum vales for four control factors to minimze the Surface roughness.
To develop this model I have done 16 experiments and the predicted values are shon below
Ra
0.064
0.039
0.071
0.238
3.256
3.910
2.786
0.037
3.604
0.043
0.037
0.060
0.049
0.023
0.061
1.113
Developed Regession Model
Ra = 28.66 + 50.01 Al2O3 + 35.80 TiO2 – 6.925 Pressure – 0.4221 Speed – 182.6 Al2O3*Al2O3 – 3.741 TiO2*TiO2 + 0.7566 Pressure*Pressure + 0.001753 Speed*Speed + 8.210 Al2O3*TiO2 – 2.541 Al2O3*Pressure – 0.04987 Al2O3*Speed – 3.373 TiO2*Pressure – 0.2407 TiO2*Speed + 0.03294 Pressure*Speed + 179.8 Al2O3*Al2O3*Al2O3
Can anyone help me to develop the Maltlab code to solve this problem ? thanks for your valuble time spend on this In my regression model I have four(04) input varibales (Al2O3, TiO2, Pressure, Speed) and there are one responce (Surface roughness(Ra)), So I don’t have idea how find optimum vales for four control factors to minimze the Surface roughness.
To develop this model I have done 16 experiments and the predicted values are shon below
Ra
0.064
0.039
0.071
0.238
3.256
3.910
2.786
0.037
3.604
0.043
0.037
0.060
0.049
0.023
0.061
1.113
Developed Regession Model
Ra = 28.66 + 50.01 Al2O3 + 35.80 TiO2 – 6.925 Pressure – 0.4221 Speed – 182.6 Al2O3*Al2O3 – 3.741 TiO2*TiO2 + 0.7566 Pressure*Pressure + 0.001753 Speed*Speed + 8.210 Al2O3*TiO2 – 2.541 Al2O3*Pressure – 0.04987 Al2O3*Speed – 3.373 TiO2*Pressure – 0.2407 TiO2*Speed + 0.03294 Pressure*Speed + 179.8 Al2O3*Al2O3*Al2O3
Can anyone help me to develop the Maltlab code to solve this problem ? thanks for your valuble time spend on this fmincon, optimization MATLAB Answers — New Questions