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."