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Question
read the text.
correlation is the relationship between two variables. scientists use correlation to understand what usually happens to one variable if another variable changes—for instance, what happens to people’s weights as their heights increase.
scientists can visualize correlation by plotting the values of two variables on a coordinate plane and then drawing a line that best fits those points. the slope of the \line of fit\ indicates the kind of relationship between the variables. a positive slope—a line rising from left to right—means there’s a positive correlation. in the example of height and weight, this would mean that when height increases, so does weight. a negative slope—a line that drops from left to right—means there’s a negative correlation, or when one variable increases, the other decreases. if there is no correlation (no relationship), then the line of fit is a flat line.
which term matches the picture?
image of a scatter plot with a line of fit having a negative slope
positive correlation no correlation negative correlation
Step1: Analyze the line's slope
The line in the graph slopes downward from left to right, so its slope is negative.
Step2: Relate slope to correlation type
From the text, a negative slope of the line of fit means a negative correlation (when one variable increases, the other decreases).
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negative correlation