What problems will the researcher encounter

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Reference no: EM131415796

Fourth-order polynomial

To model the relationship between y, a dependent variable, and x, an independent variable, a researcher has taken one measurement on y at each of five different x-values. Drawing on his mathematical expertise, the researcher realizes that he can fit the fourthorder polynomial model

E(y) = β₀+ β₁x + β₂x² + β₃x³ + β₄x⁴

and it will pass exactly through all five 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 the researcher encounter in attempting to make inferences?

Reference no: EM131415796

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