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The accompanying information is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive. Complete parts (a) and (b) below. Click the icon to view the compressive strength data. (a) Estimate the quadratic regression equation μyx = Bo+B₁x₁ + B₂x². ŷ= 19.19 + ( 0.994) ×₁ + ( − 0.020 ) ׳₁ (Round the constant to two decimal places as needed. Round all other constants and coefficients to three decimal places as needed.) (b) Test for lack of fit of the model. State the null and alternative hypotheses. Ho: There is no lack of fit for the model. H₁: There is a lack of fit for the model. Determine the test statistic. f= (Round to two decimal places as needed.) Bearing Data Concentration, Compressive Strength, x y 10.0 25.3 10.0 27.5 10.0 28.6 15.0 29.6 15.0 31.1 15.0 27.8 20.0 31.1 20.0 32.6 20.0 29.7 25.0 31.7 25.0 30.1 25.0 32.4 30.0 29.4 30.0 30.6 30.0 32.8

The accompanying information is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive. Complete parts (a) and (b) below. Click the icon to view the compressive strength data. (a) Estimate the quadratic regression equation μyx = Bo+B₁x₁ + B₂x². ŷ= 19.19 + ( 0.994) ×₁ + ( − 0.020 ) ׳₁ (Round the constant to two decimal places as needed. Round all other constants and coefficients to three decimal places as needed.) (b) Test for lack of fit of the model. State the null and alternative hypotheses. Ho: There is no lack of fit for the model. H₁: There is a lack of fit for the model. Determine the test statistic. f= (Round to two decimal places as needed.) Bearing Data Concentration, Compressive Strength, x y 10.0 25.3 10.0 27.5 10.0 28.6 15.0 29.6 15.0 31.1 15.0 27.8 20.0 31.1 20.0 32.6 20.0 29.7 25.0 31.7 25.0 30.1 25.0 32.4 30.0 29.4 30.0 30.6 30.0 32.8

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The accompanying information is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive. Complete parts (a) and (b) below. Click the icon to view the compressive strength data. (a) Estimate the quadratic regression equation μyx = Bo+B₁x₁ + B₂x². ŷ= 19.19 + ( 0.994) ×₁ + ( − 0.020 ) ׳₁ (Round the constant to two decimal places as needed. Round all other constants and coefficients to three decimal places as needed.) (b) Test for lack of fit of the model. State the null and alternative hypotheses. Ho: There is no lack of fit for the model. H₁: There is a lack of fit for the model. Determine the test statistic. f= (Round to two decimal places as needed.)
Transcribed Image Text:The accompanying information is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive. Complete parts (a) and (b) below. Click the icon to view the compressive strength data. (a) Estimate the quadratic regression equation μyx = Bo+B₁x₁ + B₂x². ŷ= 19.19 + ( 0.994) ×₁ + ( − 0.020 ) ׳₁ (Round the constant to two decimal places as needed. Round all other constants and coefficients to three decimal places as needed.) (b) Test for lack of fit of the model. State the null and alternative hypotheses. Ho: There is no lack of fit for the model. H₁: There is a lack of fit for the model. Determine the test statistic. f= (Round to two decimal places as needed.)
Bearing Data Concentration, Compressive Strength, x y 10.0 25.3 10.0 27.5 10.0 28.6 15.0 29.6 15.0 31.1 15.0 27.8 20.0 31.1 20.0 32.6 20.0 29.7 25.0 31.7 25.0 30.1 25.0 32.4 30.0 29.4 30.0 30.6 30.0 32.8
Transcribed Image Text:Bearing Data Concentration, Compressive Strength, x y 10.0 25.3 10.0 27.5 10.0 28.6 15.0 29.6 15.0 31.1 15.0 27.8 20.0 31.1 20.0 32.6 20.0 29.7 25.0 31.7 25.0 30.1 25.0 32.4 30.0 29.4 30.0 30.6 30.0 32.8
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