AP Statistics 5.2 Correlation- Exam Style Questions - MCQs - New Syllabus
▶️ Answer/Explanation
The circled point has a relatively large sugar value and an unusually high calorie value compared with the overall linear trend. This point pulls the regression line upward on the right side, making the slope steeper than it would otherwise be.
If the point is removed, the remaining points follow a more consistent linear pattern. As a result, the regression line becomes less steep, so the slope decreases.
Because the unusual point adds scatter and weakens the linear relationship, removing it makes the remaining data more linear, causing the correlation to increase.
✅ Answer: (D)
▶️ Answer/Explanation
As the values of X increase, the values of Y also tend to increase. This indicates a positive association between the two variables.
The pattern of points follows a roughly straight-line trend rather than a curved pattern, so the relationship is best described as linear. Although there is some scatter around the trend, the points are clustered closely enough to indicate a strong relationship.
Therefore, the scatterplot shows a positive, linear, and strong association between X and Y.
✅ Answer: (B)
▶️ Answer/Explanation
The two containers are selected so that their combined weight stays close to a fixed weight limit.
This means that when one container is relatively heavy, the other container must tend to be lighter to keep the total weight near the limit. Likewise, when one container is lighter, the other can be heavier.
As one variable increases, the other tends to decrease. This creates a negative linear association between the two container weights.
Therefore, the weights of the two containers on the same flight will have a negative correlation.
✅ Answer: (B)