AP PSYCHOLOGY

Detailed explanation-1: -A scatterplot with a negative correlation is a graph that shows that all of the data points are in a pattern trending down from left to right. The scatterplot shows that, in general, as x increases, y decreases which means the data points have a negative association or relationship.

Detailed explanation-2: -In statistics, a perfect negative correlation is represented by the value-1.0, while a 0 indicates no correlation, and +1.0 indicates a perfect positive correlation. A perfect negative correlation means the relationship that exists between two variables is exactly opposite all of the time.

Detailed explanation-3: -The sign of the linear correlation coefficient indicates the direction of the linear relationship between x and y. When r (the correlation coefficient) is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak.

Detailed explanation-4: -A correlation of-1 indicates a near-perfect relationship along a straight line, which is the strongest relationship possible. The minus sign simply indicates that the line slopes downwards, and it is a negative relationship.