[Objective: Determine the Effects of Outliers on a Regression Equation

question 7

Multiple Choice

[Objective: Determine the effects of outliers on a regression equation.] What effects might an outlier have on a regression equation?

• A) An outlier has no effect on a regression equation.
• B) An outlier may affect only the slope of a regression equation.
• C) An outlier may affect only the correlation coefficient of a regression equation.
• D) An outlier may affect both the slope and the correlation coefficient of a regression equation. Use the following information to answer Questions (15) and (16). The scatterplot below shows the relationship between the ages of women when they first married and the ages when they had their first child. The correlation coefficient between the values is 0.9315.

---

Definitions:

Scoring Rubric

A set of criteria and standards typically used in educational settings to assess the quality of students' work or performance.

Close-Mindedness

The unwillingness to consider or accept different ideas or opinions.

Hostility to Reason

A negative attitude or opposition towards logical argumentation, critical thinking, or the rational resolution of conflicts.

Critical Thinking

A skill of objectively assessing evidence and arguments, to identify biases and assumptions, and make reasoned judgments.