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The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 189.7 185.1 189.0 1 188.6 179.4 193.0 190.1 177.3 191.1 3:41 Formulation 165.1 161.7 163.3 2 165.9 159.8 166.6 167.6 161.6 170.3 80 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form Speed)= 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be nteraction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. Neither have a statistically significant effect on yield. ✓ (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B= speed.) a₁ = â₂ = Â₁ = B₂ =

The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 189.7 185.1 189.0 1 188.6 179.4 193.0 190.1 177.3 191.1 3:41 Formulation 165.1 161.7 163.3 2 165.9 159.8 166.6 167.6 161.6 170.3 80 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form Speed)= 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be nteraction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. Neither have a statistically significant effect on yield. ✓ (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B= speed.) a₁ = â₂ = Â₁ = B₂ =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 80 189.7 185.1 189.0 188.6 179.4 193.0 190.1 177.3 191.1 Formulation 1 165.1 161.7 163.3 2 165.9 159.8 166.6. 167.6 161.6 170.3 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form*Speed) = 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be interaction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. ONeither have a statistically significant effect on yield. B₁ = B₂ = B3 = (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B = speed.)
Transcribed Image Text:The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 80 189.7 185.1 189.0 188.6 179.4 193.0 190.1 177.3 191.1 Formulation 1 165.1 161.7 163.3 2 165.9 159.8 166.6. 167.6 161.6 170.3 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form*Speed) = 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be interaction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. ONeither have a statistically significant effect on yield. B₁ = B₂ = B3 = (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B = speed.)
(c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B = speed.) Q₁ = â₂ = B₂ = B3 = (d) The fitted values are yk = û +â, +, +, and the residuals are Xijk - Complete the table. (Round your answers to two decimal places.) Observed Fitted Residual 189.7 188.6 190.1 165.1 165.9 167.6 185.1 179.4 177.3 161.7 159.8 161.6 189.0 193.0 191.1 163.3 166.6 170.3
Transcribed Image Text:(c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B = speed.) Q₁ = â₂ = B₂ = B3 = (d) The fitted values are yk = û +â, +, +, and the residuals are Xijk - Complete the table. (Round your answers to two decimal places.) Observed Fitted Residual 189.7 188.6 190.1 165.1 165.9 167.6 185.1 179.4 177.3 161.7 159.8 161.6 189.0 193.0 191.1 163.3 166.6 170.3
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