Question

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:

A positive slope means that as \(x\) increases, \(y\) also increases. In a scatter - plot, a positive correlation is indicated when the general trend of the points is such that higher \(x\) values correspond to higher \(y\) values. A negative slope would mean \(y\) decreases as \(x\) increases, and a negative correlation is when higher \(x\) values correspond to lower \(y\) values. Here, the points show a general upward trend (as \(x\) increases, \(y\) increases), so there is a positive slope and positive correlation.

Answer:

positive slope, positive correlation