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Reserve Problems Chapter 12 Section 1 Problem 11 An article in Technometrics (1974, Vol. 16, pp....

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Reserve Problems Chapter 12 Section 1 Problem 11 An article in Technometrics (1974, Vol. 16, pp. 523-531) considered the foll(a) Fit a linear regression model relating the results of the stack loss to the three regressor variables. Round your answers

Reserve Problems Chapter 12 Section 1 Problem 11 An article in Technometrics (1974, Vol. 16, pp. 523-531) considered the following stack-loss data from a plant oxidizing ammonia to nitric acid. Twenty-one daily responses of stack loss (the amount of ammonia escaping) were measured with air flow X[, temperature X2, and acid concentration X3 . y X X2 X3 42 80 27 89 37 80 27 88 37 75 25 90 28 62 24 87 18 62 22 87 18 62 23 87 19 62 24 93 20 62 24 93 15 58 23 87 14 58 18 80 14 58 18 89 13 58 17 88 11 58 18 82 12 58 19 93 8 50 18 89 7 50 18 86 8 50 19 72 8 50 19 79 9 50 20 80 15 56 20 82 Activate Windows Go to Settings to activate Windo 15 70 20 91
(a) Fit a linear regression model relating the results of the stack loss to the three regressor variables. Round your answers to two decimal places (e.g. 98.76). 1+1 x + Jez = beat (b) Estimate op. Round your answer to two decimal places (e.g. 98.76). () Use the model in part (a) to predict stack loss when x1 = 61, x2 = 25, and x3 = 84. Round your answer to one decimal place (e.g. 98.7).

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Answer:-

Given That:-

An article in Technometrics (1974, Vol. 16, pp. 523-531) considered the following stack-loss data from a plant oxidizing ammonia to nitric acid.

Given,

SUMMARY OUTPUT ter RE LU ET at Regression Statistics Multiple R 0.956424136 5 R Square 0.914747127 6. Adjusted-R Square 0.899

(a) Fit a linear regression model relating the results of the stack loss to the three regressor variables. Round your answers to two decimal places (e.g.

98.76).

Data fit in excel goto data \rightarrow data analysis \rightarrow Regression \rightarrow Select data \rightarrow ok

\hat{y}=-38.45+0.73(X_1)+1.24(X_2)-0.17(X_3)

(b) Estimate o Round your answer to two decimal places (e.g. 98.76).

M.S.S = 10.38 =  \hat{\sigma}^2

(c) Use the model in part (a) to predict stack loss when x1 = 61, X2 = 25, and x3 = 84. Round your answer to one decimal place (e.g. 98.7).

\hat{y}=-38.45+0.73(61)+1.24(25)-0.17(84)

\hat{y}=22.8

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