MINlTAB was used to fit the complete second-order model y: |30 + [31x1 + [32x2 1 3x1x2 + [34x3 + 5x to n : 39 data points. Complete parts a through c. a. Is there sufficient evidence to indicate that at least one of the parameters |31. [32. 133, I34, and (35 is nonzero? Test. using or: 0.10. Set up the null and the alternative hypotheses. Choose the correct answer below. Ci A. H0: At least one M #0, i= 1, 2. 3. 4, 5 versus Ha:(}1=(}2 =03 =04 =05 =0 Data table t} a. H0:(31=52=|33=134=05=0versusHa:Atleastonep'0,i=1,2,3,4(5 O. HO: D4 =0 versus Ha: |34 $0 The regression model is What is the test statistic? Y : - 24.553 +1.19838X1+ 27.97SX2 - 0.5387X1X2 - 0.0045X1SQ + 0 0021XZSQ The test statistic is . (Type an integer or a decimal.) Predictor Coef 5E Coef T P Constant - 24.553 6.528 - 3.75 0,001 What is the p-value? X1 1.19838 0.1103 10.86 0.000 . _ _ X2 27.978 79,460 0.35 0,727 The p-value Is 1 (Type an Integer or a decimal.) X1X2 _0 5387 10313 _ 0 52 0 605 Make the appropriate conclusion. X150 -0.0045 0.0004 - 11.24 0.000 XZSQ 0.0021 0.0035 0.60 0.550 V the null hypothesis, There V evidence to indicate that at least one of the parameters |51, 152. I33, [34' and (is is nonzero. Analysis of Variance b. Test H0: (34 = 0 against Ha: [34 0. Use ix = 0.01, What is the test statistic? Source DF SS M5 F P The test statistic is . (Type an integer or a decimal.) Regression 5 993-20 198-64 26-03 0000 Residual Error 33 251.86 7.63 What is the p-value? Total 38 1245.06 The p-value is . (Type an integer or a decimal.) Make the appropriate conclusion. V the null hypothesis, There V evidence to indicate that [34 5% 0 at (X = 0.01. MlNITAB was used to fit the complete second-order model y = 00 + m1 +132x2 + (33x1x2 + 04x? + (55x; to n = 39 data points. Complete parts a through c. What is the p-value? The p-value is . (Type an integer or a decimal.) Make the appropriate conclusion. V the nul l hypothesis. There V evidence to indicate that at least one of the parameters (31, [32, [33. [14. and (35 is nonzero, b. Test H0: 04 : 0 against Ha: (34 0, Use or : 001. What is the test statistic? The test statistic is C What is the p-value? The p-value is , (Ty , (Type an integer or a decimal.) pe an integer or a decimal.) Make the appropriate conclusion. V the nul l hypothesis. There V evidence to indicate that (34 0 at a = 0.01. c. Test HO: |55 = 0 against Ha: [35 0. Use a = 0.01. What is the test statistic? The test statistic is C What is the p-value? The p-value is . (Type an integer or a decimal.) . (Type an integer or a decimal.) Make the appropriate conclusion. V the nul l hypothesis. There V evidence to indicate that (34 0 at (X = 0.01. Data table The regression model is Y = - 24.553 +1.19838X1+ 27.978X2 - 0.5387X1X2 - 0.0045X1SQ + 0.0021X2SQ Predictor Coef SE Coef Constant , 24.553 6.528 X1 1 19838 0.1103 X2 27.978 79.460 X1X2 -0.5387 1.0313 X1$Q 0.0045 0,0004 XZSQ 0.0021 0,0035 Analysis of Variance Source DF SS Regression 5 993.20 Residual Error 33 251.86 Total 35 1245.06 T , 3.76 10.86 0.35 - 0.52 1 1.24 0.60 MS 198 64 763 p 0.001 0.000 0.727 0.605 0.000 0.550 F P 26.03 0.000