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A researcher has conducted a 3 factor, 2^k experiment with 2 replicates and Minitab analysis for the full model is shown below. Unfortunately some
A researcher has conducted a 3 factor, 2^k experiment with 2 replicates and Minitab analysis for the full model is shown below. Unfortunately some of the values have been lost. It is your task to partially recreate the information by answering the questions following he tables Coded Coefficients Term Constant Effect Coef SE Coef T-Value P-Value VIF 91.394 H S 0.000 Temp 0.287 A J T 0.536 1.00 Spray -2.238 B K U 0.001 1.00 Pressure 6.288 C L V 0.000 1.00 Temp*Spray -2.538 D M W 0.000 1.00 Temp*Pressure 0.838 E Spray* Pressure -0.637 F Temp*Spray*Pressure 3.713 G NPR X 0.096 1.00 Y 0.190 1.00 N 0.000 1.00 Model Summary S R-sq R-sq(adj) R-sq(pred) AA% 95.61% 90.63% 0.889171 Model Summary S R-sq R-sq(adj) R-sq(pred) 0.889171 AA% 95.61% 90.63% 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 t-value of Temp in the coded coefficient table? This is the value identified as T 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 Adj Mean Square for the linear terms. This is identified as AH in the ANOVA table. State to 2 decimal places. 4. State the value for AD in the ANOVA table (Adj MS of the error term). State to 3 decimal places. 5. State the total number of degrees of freedom AE in the ANOVA table.
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