Question 32

It will weaken the positive relationship

Removing outliers typically reduces the variance in the data, which can weaken the strength of the correlation between two variables. In this case, eliminating outliers from the relationship between screen time and weight would diminish the positive correlation that may exist.

A) It will weaken the positive relationship

This option is correct because outliers can significantly influence correlation coefficients. When outliers are removed, the remaining data points may show a less pronounced positive relationship between screen time and weight, as the extreme values that could inflate this relationship are no longer part of the analysis.

B) It will strengthen the positive relationship

This option is incorrect. The removal of outliers generally leads to a more accurate reflection of the underlying trend in the data. By excluding extreme values, you may reduce the apparent strength of the positive relationship rather than enhancing it.

C) It will strengthen the negative relationship

This option is incorrect. The question pertains to the positive relationship between screen time and weight. Removing outliers is unlikely to create or strengthen a negative relationship, as it directly relates to the existing correlation, which is positive.

D) It will weaken the negative relationship

This option is also incorrect. Similar to option C, this choice misunderstands the nature of the relationship being discussed. The focus is on a positive correlation, and removing outliers would not affect a negative relationship that doesn't exist in this context.

Conclusion

In summary, option A accurately reflects the impact of removing outliers on the relationship between screen time and weight by indicating that it will weaken the positive relationship. All other options fail because they either misinterpret the nature of the existing relationship or incorrectly suggest an effect that does not align with statistical principles regarding outlier influence.