Examine the following data:

x 2 8 9 12 15 22 21 25 37 39 y 4 75 175 415 620 7,830 7,551 7,850 11,112 11,617

a. Construct a scatter plot of the data. Determine the order of the polynomial that is represented by the data.

b. Obtain an estimate of the model identified in part a.

c. Conduct a test of hypothesis to determine if a thirdorder, as opposed to a second-order, polynomial is a better representation of the relationship between y and x. Use a significance level of 0.05 and the p-value approach.