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 = Po +B₁₁ +ẞ₂x. ŷ= 19.19 + (0.994) ×₁ + ( − 0.020)× (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 = Po +B₁₁ +ẞ₂x. ŷ= 19.19 + (0.994) ×₁ + ( − 0.020)× (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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please give final answers and rounded as asked for in attachment
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 Hyx = Po +B₁₁ +ẞ₂x.
ŷ= 19.19 + (0.994) ×₁ + ( − 0.020)×
(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: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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