Actual by Predicted Plot 180 1 Lack Of Fit Source Lack Of Fit Pure Error Total Error 160 Sum of DF Squares Mean Square F Ratio 1 105.4997 105.500 0.1405 2 1501.3269 750.663 Prob > F 3 1606.8265 0.7438 Max RST 0.7363 140 Flight Time (CM/Sec) Actual 120 100 Parameter Estimates Term Estimate Std Error t Ratio Prob>It| Intercept 143.94675 6.977945 20.63 0.0002 Rotor Length(6,7) 4.6621337 8.182365 0.57 0.6087 Rotor Width(2.5,3.5) 3.1990873 8.182365 0.39 0.7219 Nose Length(1.5,2.5) -1.70575 8.182365 -0.21 0.8482 Rotor Length Rotor Width -13.99144 8.182365 -1.71 0.1858 Rotor Length*Nose Length -2.889462 8.182365 -0.35 0.7473 Rotor Width"Nose Length 15.291443 8.182365 1.87 0.1584 Rotor Length Rotor Width"Nose Length -6.155471 8.182365 -0.75 0.5065 100 120 140 160 180 Flight Time (CM/Sec) Predicted RMSE=23.143 RSq=0.72 PValue =0.5199 Flight Time (CM/ Sec) Prediction Profiler 180 160 143.9468 [121.7398 140 166.15371 120 100 1- 0.75 Desirability 0.592593 0.5 0.25 0 6 m 2 0 3.2 1 3.4 1.6 1.8 2.2 2.4 0.25 0.5- 0.75 6.5 Rotor Length 2 3 Rotor Width 2 Nose Length Desirability *Response goal: Minimize descent Accuracy 1 Actual by Predicted Plot 50 40 Accuracy (CM) Actual 30 Lack Of Fit Sum of Source DF Squares Mean Square F Ratio Lack Of Fit 1 427.63636 427.636 7.0104 Pure Error 2 122.00000 61.000 Prob > F Total Error 3 549.63636 0.1179 Max RSq 0.9345 Parameter Estimates Term Estimate Std Error t Ratio Prob>It! Intercept 25.181818 4.081133 6.17 0.0086 Rotor Length(6,7) 7.75 4.785553 1.62 0.2038 Rotor Width(2.5,3.5) 1.5 4.785553 0.31 0.7745 Nose Length(1,5,2.5) 0 4.785553 0.00 1.0000 Rotor Length Rotor Width -2.25 4.785553 -0.47 0.6703 Rotor Length"Nose Length -3.25 4.785553 -0.68 0.5458 Rotor Width"Nose Length 9 4.785553 1.88 0.1566 Rotor Length"Rotor Width"Nose Length 2.25 4.785553 0.47 0.6703 20 10 10 20 30 40 50 Accuracy (CM) Predicted RMSE=13.536 RSq=0.70 PValue=0.5442 Prediction Profiler Accuracy (CM) 50 25.18182 40 [12.19383, 30 38.169811 20 10 1 0.75 Desirability 0.58971 0.5 0.25 0 6- m 1 2.6 2.8 3.2 3.4 1.6 1.8 2.2 2.4 0.25 0.5 0.75 6,5 Rotor Length Rotor Width Nose Length Desirability *Response goal: Match a target of 0 2. In the Fit Model report window, using the Actual by Predicted plot and Lack of Fit report determine if any curvature exists in the relationship of the response to the factors. Clearly report on your findings. Even if significant Lack of Fit appears present continue with the analysis. Using the Parameter Estimates table discuss which effects seem most important; one can use p-values and relative magnitudes of the coefficients to make decisions. Do not attempt to reduce your model given we have very little power to detect important effects with only three center points. For the remainder of the assignment simply use the full factorial model that you have estimated in Fit Model. 6 In your report you should show the Actual by Predicted Plot, the Lack of Fit report, and the Parameter Estimates table report. You should also comment on all three of these reports; e.g., is there evidence of Lack of Fit in the report or the Actual by Predicted plot. Actual by Predicted Plot 180 1 Lack Of Fit Source Lack Of Fit Pure Error Total Error 160 Sum of DF Squares Mean Square F Ratio 1 105.4997 105.500 0.1405 2 1501.3269 750.663 Prob > F 3 1606.8265 0.7438 Max RST 0.7363 140 Flight Time (CM/Sec) Actual 120 100 Parameter Estimates Term Estimate Std Error t Ratio Prob>It| Intercept 143.94675 6.977945 20.63 0.0002 Rotor Length(6,7) 4.6621337 8.182365 0.57 0.6087 Rotor Width(2.5,3.5) 3.1990873 8.182365 0.39 0.7219 Nose Length(1.5,2.5) -1.70575 8.182365 -0.21 0.8482 Rotor Length Rotor Width -13.99144 8.182365 -1.71 0.1858 Rotor Length*Nose Length -2.889462 8.182365 -0.35 0.7473 Rotor Width"Nose Length 15.291443 8.182365 1.87 0.1584 Rotor Length Rotor Width"Nose Length -6.155471 8.182365 -0.75 0.5065 100 120 140 160 180 Flight Time (CM/Sec) Predicted RMSE=23.143 RSq=0.72 PValue =0.5199 Flight Time (CM/ Sec) Prediction Profiler 180 160 143.9468 [121.7398 140 166.15371 120 100 1- 0.75 Desirability 0.592593 0.5 0.25 0 6 m 2 0 3.2 1 3.4 1.6 1.8 2.2 2.4 0.25 0.5- 0.75 6.5 Rotor Length 2 3 Rotor Width 2 Nose Length Desirability *Response goal: Minimize descent Accuracy 1 Actual by Predicted Plot 50 40 Accuracy (CM) Actual 30 Lack Of Fit Sum of Source DF Squares Mean Square F Ratio Lack Of Fit 1 427.63636 427.636 7.0104 Pure Error 2 122.00000 61.000 Prob > F Total Error 3 549.63636 0.1179 Max RSq 0.9345 Parameter Estimates Term Estimate Std Error t Ratio Prob>It! Intercept 25.181818 4.081133 6.17 0.0086 Rotor Length(6,7) 7.75 4.785553 1.62 0.2038 Rotor Width(2.5,3.5) 1.5 4.785553 0.31 0.7745 Nose Length(1,5,2.5) 0 4.785553 0.00 1.0000 Rotor Length Rotor Width -2.25 4.785553 -0.47 0.6703 Rotor Length"Nose Length -3.25 4.785553 -0.68 0.5458 Rotor Width"Nose Length 9 4.785553 1.88 0.1566 Rotor Length"Rotor Width"Nose Length 2.25 4.785553 0.47 0.6703 20 10 10 20 30 40 50 Accuracy (CM) Predicted RMSE=13.536 RSq=0.70 PValue=0.5442 Prediction Profiler Accuracy (CM) 50 25.18182 40 [12.19383, 30 38.169811 20 10 1 0.75 Desirability 0.58971 0.5 0.25 0 6- m 1 2.6 2.8 3.2 3.4 1.6 1.8 2.2 2.4 0.25 0.5 0.75 6,5 Rotor Length Rotor Width Nose Length Desirability *Response goal: Match a target of 0 2. In the Fit Model report window, using the Actual by Predicted plot and Lack of Fit report determine if any curvature exists in the relationship of the response to the factors. Clearly report on your findings. Even if significant Lack of Fit appears present continue with the analysis. Using the Parameter Estimates table discuss which effects seem most important; one can use p-values and relative magnitudes of the coefficients to make decisions. Do not attempt to reduce your model given we have very little power to detect important effects with only three center points. For the remainder of the assignment simply use the full factorial model that you have estimated in Fit Model. 6 In your report you should show the Actual by Predicted Plot, the Lack of Fit report, and the Parameter Estimates table report. You should also comment on all three of these reports; e.g., is there evidence of Lack of Fit in the report or the Actual by Predicted plot