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QUESTION IMAGE

a scatter plot and line of best fit are shown. use the drop - down menu…

Question

a scatter plot and line of best fit are shown.
use the drop - down menus to describe and justify the type of correlation.
the line of best fit has a ▼ correlation because ▼.

Explanation:

Step1: Analyze the line's slope

The line of best fit is decreasing (from left to right, it goes down), so its slope is negative.

Step2: Relate slope to correlation type

In scatter plots, a negative - sloped line of best fit indicates a negative correlation, as one variable tends to decrease as the other increases. Also, the points generally follow the trend of the line (even with some scatter), so it's a negative correlation. The justification is that as the independent variable (x - value) increases, the dependent variable (y - value) tends to decrease, and the line of best fit has a negative slope.

Answer:

The line of best fit has a \boxed{negative} correlation because as the value of the independent variable (x) increases, the value of the dependent variable (y) tends to decrease (and the line of best fit has a negative slope).