Question: To model the relationship between y (a dependent variable) and x (an independent variable), a researcher has taken one measurement of y at each of

To model the relationship between y (a dependent variable)

and x (an independent variable), a researcher has taken one measurement of y at each of three different x values. Drawing on his mathematical expertise, the researcher realizes that he can fit the second-order model E1y2 = b0 + b1 x + b2 x2 and it will pass exactly through all three points, yielding SSE = 0. The researcher, delighted with the “excellent”
fit of the model, eagerly sets out to use it to make inferences.
What problems will he encounter in attempting to make inferences?

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