Question

John creates a regression line for his data and then plots the residuals. The residual plot looks like a quadratic function. What does this mean?
A) A pattern in the residuals has no meaning.
B) That the original data forms a quadratic pattern.
C) That his regression equation is a quadratic function.
D) That the regression equation is not a good fit for the data.

Answer 1

Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.

What is a regression line?

A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.

Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.

If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.

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