Question: A solid - fuel rocket propellant loses weight after it is produced. The following data are available Months since Production, x Weight Loss, y (kg)

A solid - fuel rocket propellant loses weight after it is produced. The following data are available Months since Production, x Weight Loss, y (kg)

0.25 1.42 0.50 1.39 0.75 1.55 1.00 1.89 1.25 2.43 1.50 3.15 1.75 4.05 2.00 5.15 2.25 6.43 2.50 7.89

a. Fit a second - order polynomial that expresses weight loss as a function of the number of months since production.

b. Test for signifi cance of regression.

c. Test the hypothesis H0 : β2 = 0. Comment on the need for the quadratic term in this model.

d. Are there any potential hazards in extrapolating with this model?

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