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 Hyx = ßo +ẞ₁×₁ +ẞ₂x²₁. ŷ= 19.19 + (0.994) ×₁ + ( − 0.020 ) ×² (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 Hyx = ßo +ẞ₁×₁ +ẞ₂x²₁. ŷ= 19.19 + (0.994) ×₁ + ( − 0.020 ) ×² (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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The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02
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