Question 10

Removing the outlier would weaken the positive relationship between variable 1 and variable 2.

Eliminating an outlier can lead to a more accurate representation of the correlation between two variables. In this case, the presence of the outlier may have artificially inflated the perceived strength of the positive relationship.

A) It would weaken the positive relationship

This option is correct because removing an outlier often clarifies the true nature of the relationship between the variables. If the outlier was significantly influencing the correlation, its removal can reveal a less robust positive relationship than previously observed.

B) It would strengthen the positive relationship

This option is incorrect. If an outlier is contributing to a perceived strength in the positive relationship, its removal would not strengthen this relationship. Instead, it would likely reveal that the true correlation is weaker than initially indicated.

C) It would strengthen the neutral relationship

This option is also incorrect. The term "neutral relationship" suggests that there is no significant correlation between the two variables. Removing an outlier would not strengthen a neutral relationship, as there is nothing to enhance if no correlation exists.

D) It would weaken the neutral relationship

This option is incorrect as well. A neutral relationship implies no correlation; hence, the removal of an outlier would have no effect on the strength of that relationship, as it does not exist to begin with.

Conclusion

In conclusion, removing the outlier would weaken the positive relationship because it allows for a more accurate assessment of the correlation between variable 1 and variable 2. The other options fail to recognize that the presence of an outlier may distort the perceived strength of relationships, making them less reliable.