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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...
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