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.

Transcribed Image Text:

I 45 7 8 2 19 20 7,058 7,945 y 54 125 324 512 5.530 5.33 5,740