Question: A researcher has conducted a 3 factor, 2^k experiment with 2 replicates and the Minitab analysis for the full model is shown below. Unfortunately

A researcher has conducted a 3 factor, 2^k experiment with 2 replicatesand the Minitab analysis for the full model is shown below. Unfortunatelysome of the output values have been lost. It is your task

A researcher has conducted a 3 factor, 2^k experiment with 2 replicates and the Minitab analysis for the full model is shown below. Unfortunately some of the output values have been lost. It is your task to partially recreate the information by answering the questions following he tables Coded Coefficients Effect Coef SE Coef T-Value P-Value VIF Term Constant Temp Spray Pressure Temp*Spray Temp*Pressure 91.394 H S 0.000 0.287 A J T 0.536 1.00 -2.238 B K U 0.001 1.00 6.288 C L V 0.000 1.00 -2.538 D M W 0.000 1.00 0.838 E N X 0.096 1.00 -0.637 F G P Y 0.190 1.00 R Z 0.000 1.00 Spray* Pressure Temp*Spray*Pressure 3.713 Model Summary S R-sq R-sq(adj) 0.889171 AA% Analysis of Variance Source 95.61% R-sq(pred) 90.63% DF Adj SS Adj MS F-Value P-Value Source Analysis of Variance DF Adj SS Adj MS F-Value P-Value Model 7 263.804 37.686 47.67 0.000 Linear AG 178.487 AH AF 0.000 Temp 1 0.331 0.331 0.42 0.536 Spray 1 20.026 20.026 25.33 0.001 Pressure 1 158.131 158.131 200.01 0.000 2-Way Interactions 3 30.187 10.062 12.73 0.002 Temp*Spray 1 25.756 25.756 32.58 0.000 Temp*Pressure 1 2.806 2.806 3.55 0.096 Spray*Pressure 1 1.626 1.626 2.06 0.190 3-Way Interactions 1 55.131 55.131 69.73 0.000 Temp*Spray*Pressure 1 55.131 Error AB AC 55.131 AD 69.73 0.000 Total AE 270.129 1. What is the value of the Standard Error of the coefficient for the Temp*Spray Interaction? This is the value identified as M in the coded coefficient table (State to 2 decimal places). 2. What is the value of R-sq? This is identified as AA% in the Model Summary table. State to 2 decimal places, do not use a percent sign. 3. What is the F-value for the linear terms. This is identified as AF in the ANOVA table. State to 2 decimal places. 4. State the value for AC in the ANOVA table (Adj SS of the error term). State to 3 decimal places. 5. State the number of degrees of freedom associated with the error term. A A A

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