Question

describe the slope of a trend line that models the data in a scatter plot with positive association. describe the slope of a trend line that models the data in a scatter plot with negative association. in a scatter plot with positive association, the slope of the trend line is dropdown in a scatter plot with negative association, the slope of the trend line is dropdown

Explanation:

Step1: Recall Positive Association Slope

In a scatter plot with positive association, as one variable increases, the other variable also tends to increase. The trend line (a line of best fit) will have a positive slope (since slope \( m=\frac{\Delta y}{\Delta x} \), and both \( \Delta y \) and \( \Delta x \) are positive, so \( m>0 \)).

Step2: Recall Negative Association Slope

In a scatter plot with negative association, as one variable increases, the other variable tends to decrease. For the trend line, the slope \( m=\frac{\Delta y}{\Delta x} \) will have \( \Delta y \) negative and \( \Delta x \) positive (or vice versa), so \( m < 0 \) (negative slope).

Answer:

In a scatter plot with positive association, the slope of the trend line is positive. In a scatter plot with negative association, the slope of the trend line is negative.