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Which statement is not correct about regression?

A. Regression measures the strength of a relationship.
B.A regression line always passes through the origin.
C. Outliers can significantly influence regression results.
D.Correlation implies causation in regression.

User Jonr
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1 Answer

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Final answer:

The correct answer is option B. The incorrect statement about regression is that a regression line always passes through the origin. In reality, the intersection of a regression line with the y-axis depends on the data and analysis method, and correlation does not imply causation in regression.

Step-by-step explanation:

When considering the statements about regression, the following analysis can be made:

  • Regression does indeed measure the strength of a relationship between variables; however, it also assesses the direction of the relationship.

  • A regression line may not always pass through the origin. The point where a regression line intersects the y-axis is determined by the data and the best-fit criteria used.

  • Outliers can significantly influence the results of a regression analysis because they can disproportionately affect the slope of the regression line and the correlation coefficient.

  • The statement that "Correlation implies causation in regression" is not correct. Correlation measures the strength of a relationship, not the causation between the variables.

Therefore, the incorrect statement about regression is: "B. A regression line always passes through the origin."

User Fateema
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