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To model the relationship between y, a dependent variable,
Chapter 12, Problem 141SE(choose chapter or problem)
Problem 141SE
To model the relationship between y, a dependent variable, and x, an independent variable, a researcher hastaken one measurement on y at each of three differentx values. Drawing on his mathematical expertise, theresearcher realizes that he can fit the second-order model
E(y) = β0 + β1x + β2x2
and it will pass exactly through all three points, yieldingSSE = 0. The researcher, delighted with the excellentfit of the model, eagerly sets out to use it to make inferences. What problems will he encounter in attempting tomake inferences?
Questions & Answers
QUESTION:
Problem 141SE
To model the relationship between y, a dependent variable, and x, an independent variable, a researcher hastaken one measurement on y at each of three differentx values. Drawing on his mathematical expertise, theresearcher realizes that he can fit the second-order model
E(y) = β0 + β1x + β2x2
and it will pass exactly through all three points, yieldingSSE = 0. The researcher, delighted with the excellentfit of the model, eagerly sets out to use it to make inferences. What problems will he encounter in attempting tomake inferences?
ANSWER:
Step 1 of 2
The researcher realises that he can fit the second-order model and it passes exactly through all the three points yielding, SSE = 0. Where, theses three values are obtained by taking one measurement on y at each of the three different x values.