In the context of regression analysis, which of the following statements is true?
Select one:
a. When a dataset includes an influential point, the data must come from a nonlinear population model.
b. All outlying data points have high influence.
c. All data points with high leverage have high influence.
d. None of the above
An outlier is a data point whose response y does not follow the general trend of the rest of the data.
A data point has high leverage if it has "extreme" predictor x values. With a single predictor, an extreme x value is simply one that is particularly high or low.
A data point is influential if it unduly influences any part of a regression analysis, such as the predicted responses, the estimated slope coefficients, or the hypothesis test results. Outliers and high leverage data points have the potential to be influential, but we generally have to investigate further to determine whether or not they are actually influential.
The correct statement is :
d. None of the above
In the context of regression analysis, which of the following statements is true? Select one: a....
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