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Homework answers / question archive / If the linear assumption in regression is violated? A) No particular problem results
If the linear assumption in regression is violated?
A) No particular problem results.
B) Predictions of Y can still be made, but the coefficient of determination is invalid.
C) The formulas in regression analysis do not apply.
D) The slope of the sample line must be adjusted upward before it can be used.
E) None of the above.
The least-square regression equation is not seriously affected if there are deviations from the normal distribution and equal standard deviation assumptions. However, if the linearity assumption is violated, the least-square regression line would result in erroneous results including incorrect predictions and wrong coefficient of determination. The regression formulas can still be applied to the data once they go through some standard transformations. Thus the correct answer is E) None of the above.
