Question

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We collect the following data to study the operation of a plant for the oxidation of ammonia to nitric acid. In the regression models, x is air flow, x2 is cooling water inlet temperature and y is stack loss. The standard errors of predicted are derived from the second model. Note that 1 57.765 and Σ(x1,-%)2-871.06. StdErr Pred y 27 0.9980645052 2 0.3599917876 23 0.4203293994 24 0.5286438199 4 0.5286438199 23 0.5199911743 8 0.5148291582 8 0.5148291582 7 0.6565782612 8 0.5148291582 9 0.3933292246 8 04517496779 8 04517496779 9 0.4738427254 9 0.4738427254 20 0.5483437362 20 0.3154833809 37 18 18 19 20 15 14 14 13 62 62 58 58 58 12 58 50 50 50 50 50 56 15 Response y DEffect Summary Response y Effect Summary Regression Plot Summary of Fit Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Model 1 775.48219 Error C Total16 816.23529 775 482 285.4318 2.717 Prob > F 0001 5 40.75311 D Lack Of Fit 4 Parameter Estimates Term Estimate Std Error tRatio Prob>lt Intercept-40.03296 3.250743-1232 .0001 x1 0.943544 0.055848 16.89 F Source Model Error C Total16 816.23529 DF 2 793.97486 14 22.26043 ,0001 Lack Of Fit 4 Parameter Estimates Term Estimate Std Error t Ratio Prob> It Intercept -42.00131 2.552956-1645

Answer 1

b1^	se(b1^)	t	lower	upper
0.776504	0.064996	1.76131	0.662025	0.890982
			3.972153	5.34589

formula

b1^	se(b1^)	t	lower	upper
0.7765036	0.064996	=T.INV.2T(0.1,14)	=A2-C2*B2	=A2+C2*B2
			=6*D2	=6*E2

hence

(3.972,5.346)

third last option is correct

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