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The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables  x1 = hydrogen peroxide  (% by weight),  x2 = sodium hydroxide (% by weight), x3 = silicate (% by weight), and  x4 = process temperature.† Find the estimated regression equation for the model that includes all independent variables, all quadratic terms, and all interaction terms. (Round your numerical values to five decimal places.) ŷ =  Calculate the test statistic and the P-value. (Round your answer to four decimal places.) F =  P-value =

The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables  x1 = hydrogen peroxide  (% by weight),  x2 = sodium hydroxide (% by weight), x3 = silicate (% by weight), and  x4 = process temperature.† Find the estimated regression equation for the model that includes all independent variables, all quadratic terms, and all interaction terms. (Round your numerical values to five decimal places.) ŷ =  Calculate the test statistic and the P-value. (Round your answer to four decimal places.) F =  P-value =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables  x1 = hydrogen peroxide  (% by weight),  x2 = sodium hydroxide (% by weight), x3 = silicate (% by weight), and  x4 = process temperature.†

Find the estimated regression equation for the model that includes all independent variables, all quadratic terms, and all interaction terms. (Round your numerical values to five decimal places.)
ŷ = 
Calculate the test statistic and the P-value. (Round your answer to four decimal places.)
F = 
P-value = 
 
X1 X2 X3 X4 y X1 X2 X3 X4 y 0.2 0.2 1.5 145 83.9 0.1 0.3 2.5 160 82.9 0.4 0.2 1.5 145 84.9 0.5 0.3 2.5 160 85.5 0.2 0.4 1.5 145 83.4 0.3 0.1 2.5 160 85.2 0.4 0.4 1.5 145 84.2 0.3 0.5 2.5 160 84.5 0.2 0.2 3.5 145 83.8 0.3 0.3 0.5 160 84.7 0.4 0.2 3.5 145 84.7 0.3 0.3 4.5 160 85.0 0.2 0.4 3.5 145 84.0 0.3 0.3 2.5 130 84.9 0.4 0.4 3.5 145 84.8 0.3 0.3 2.5 190 84.0 0.2 0.2 1.5 175 84.5 0.3 0.3 2.5 160 84.5 0.4 0.2 1.5 175 86.0 0.3 0.3 2.5 160 84.7 0.2 0.4 1.5 175 82.6 0.3 0.3 2.5 160 84.6 0.4 0.4 1.5 175 85.1 0.3 0.3 2.5 160 84.9 0.2 0.2 3.5 175 84.5 0.3 0.3 2.5 160 84.9 0.4 0.2 3.5 175 86.0 0.3 0.3 2.5 160 84.5 0.2 0.4 3.5 175 84.0 0.3 0.3 2.5 160 84.6 0.4 0.4 3.5 175 85.4
Transcribed Image Text:X1 X2 X3 X4 y X1 X2 X3 X4 y 0.2 0.2 1.5 145 83.9 0.1 0.3 2.5 160 82.9 0.4 0.2 1.5 145 84.9 0.5 0.3 2.5 160 85.5 0.2 0.4 1.5 145 83.4 0.3 0.1 2.5 160 85.2 0.4 0.4 1.5 145 84.2 0.3 0.5 2.5 160 84.5 0.2 0.2 3.5 145 83.8 0.3 0.3 0.5 160 84.7 0.4 0.2 3.5 145 84.7 0.3 0.3 4.5 160 85.0 0.2 0.4 3.5 145 84.0 0.3 0.3 2.5 130 84.9 0.4 0.4 3.5 145 84.8 0.3 0.3 2.5 190 84.0 0.2 0.2 1.5 175 84.5 0.3 0.3 2.5 160 84.5 0.4 0.2 1.5 175 86.0 0.3 0.3 2.5 160 84.7 0.2 0.4 1.5 175 82.6 0.3 0.3 2.5 160 84.6 0.4 0.4 1.5 175 85.1 0.3 0.3 2.5 160 84.9 0.2 0.2 3.5 175 84.5 0.3 0.3 2.5 160 84.9 0.4 0.2 3.5 175 86.0 0.3 0.3 2.5 160 84.5 0.2 0.4 3.5 175 84.0 0.3 0.3 2.5 160 84.6 0.4 0.4 3.5 175 85.4
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