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Construct a scatter plot of the data determine the order of

Question: Consider the following data:

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

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

c. Conduct a test of hypothesis to determine if a third order, as opposed to a first-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.

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