Which of the following statements about least squares regression analysis is true?
I. A point with a large residual is an outlier
II. A point with high leverage has a Y value that is not consistent with the other Y values in the set
III. The removal of an influential point from the data set could change the value of the correlation coefficient



Answer :

The statements about least squares regression analysis is true are I and III.

What is meant by regression analysis?

The statistical technique of regression analysis demonstrates the link between two or more variables. The method evaluates the relationship between a dependent variable and independent factors, and is frequently presented as a graph.

You can anticipate the effects of the independent variable on the dependent one by creating a regression analysis. For instance, we can claim that a linear regression model can adequately account for age and height.

Here,

From the given information in the question:

The statements I and III are correct.

And the statements are:

A point with a large residual is an outlier and the removal of an influential point from the data set could change the value of the correlation coefficient.

So, the statements  I and III are correct for the given information in the question.

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