Question

A scatterplot with many points in the lower right quadrant of the plot, many points in the upper left quadrant, and very few points in the other quadrants would indicate a(n):

1) Positive correlation
2) Negative correlation
3) No correlation
4) Cannot be determined

Answer 1

A scatterplot with many points in the lower right and upper left quadrants indicates a negative correlation, where one variable increases as the other decreases. The correlation coefficient, r, helps measure this relationship's strength and direction.

Step-by-step explanation:

A scatterplot with many points in the lower right quadrant and many points in the upper left quadrant suggests that the variables have a negative correlation. This pattern indicates that as one variable increases, the other decreases. Scatterplots help to visualize the relationship between two variables, where the pattern of points provides insights into the nature of their relationship.

The correlation coefficient, often represented as r, measures the strength and direction of a linear relationship between two variables. Values of r range from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. A negative correlation means that the variables move in opposite directions.

Therefore, when analyzing the scatterplot described, the points spread across the lower right and upper left quadrants would indicate an option (2) Negative correlation: -1 correlation coefficients and scatterplot patterns.