Part f: Test the utility of the above cubic polynomial regression model, and be sure to show and label all six steps. Show your work. Part g. Compute and interpret a 95% confidence interval for the slope of the x term in this cubic polynomial regression model. Show your work. [Note that sp₁ = 0.7627.]

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(By-Hand) The following cubic polynomial (k = 3) regression equation models the
fiber content (grams) y from the sugar content (grams) x for n = 12 brands of
breakfast cereal.
SSResid=57.3629
SSTotal = 566.3165 ŷ= 182.4431 + 14.0755x+
1.6971x² -0.9034x³
Transcribed Image Text:(By-Hand) The following cubic polynomial (k = 3) regression equation models the fiber content (grams) y from the sugar content (grams) x for n = 12 brands of breakfast cereal. SSResid=57.3629 SSTotal = 566.3165 ŷ= 182.4431 + 14.0755x+ 1.6971x² -0.9034x³
Part f:
Test the utility of the above cubic polynomial regression model, and be sure to show
and label all six steps. Show your work.
Part g.
Compute and interpret a 95% confidence interval for the slope of the x term in
this cubic polynomial regression model. Show your work. [Note that Sb₁ = 0.7627.]
Transcribed Image Text:Part f: Test the utility of the above cubic polynomial regression model, and be sure to show and label all six steps. Show your work. Part g. Compute and interpret a 95% confidence interval for the slope of the x term in this cubic polynomial regression model. Show your work. [Note that Sb₁ = 0.7627.]
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