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 Hуx = ßo + B₁×₁ + ß2ײ. y = 19.19 + (0.994) x + (-0.020) xã (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 - X

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I need help with final answer for test statistic please. everything needed is provided in attachments

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 Hуx = ßo + B₁×₁ + ß2ײ.
y = 19.19 + (0.994) x + (-0.020) xã
(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 Hуx = ßo + B₁×₁ + ß2ײ. y = 19.19 + (0.994) x + (-0.020) xã (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
- X
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 - X
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