Question

analyzing a scatterplot
draw a line to approximate the points on the graph.
use the slope of the line to determine if there is a
correlation shown in the scatterplot
positive slope, positive correlation
positive slope, negative correlation
negative slope, positive correlation
negative slope, negative correlation

Explanation:

• Positive slope: A line with a positive slope rises from left to right. In a scatter - plot, if the general trend of the points follows a line that rises from left to right (as the \(x\) - values increase, the \(y\) - values also tend to increase), the slope of the approximating line is positive.
• Positive correlation: In a scatter - plot, a positive correlation means that as one variable (usually \(x\)) increases, the other variable (usually \(y\)) also has a tendency to increase. When the approximating line has a positive slope, it indicates that the two variables have a positive relationship.

Answer:

positive slope, positive correlation